From 6764a03641f5dc1bbacafd692dc3e28b85f243af Mon Sep 17 00:00:00 2001 From: nwcad2020 Date: Wed, 14 Jul 2021 11:17:56 -0400 Subject: [PATCH 001/126] add visualize.py visualization for cubefile --- examples/esp/visualize.py | 40 +++++++++++++++++++++++++++++++++ examples/esp/visualize_scl.py | 42 +++++++++++++++++++++++++++++++++++ 2 files changed, 82 insertions(+) create mode 100644 examples/esp/visualize.py create mode 100644 examples/esp/visualize_scl.py diff --git a/examples/esp/visualize.py b/examples/esp/visualize.py new file mode 100644 index 00000000..89429251 --- /dev/null +++ b/examples/esp/visualize.py @@ -0,0 +1,40 @@ +import os,sys +from chimerax.core.commands import run, Command, CmdDesc, RestOfLine +from chimerax.core import errors + +from chimerax.map import Volume +from chimerax.map_data.gaussian.gaussian_grid import GaussianGrid +from chimerax.surface import color_electrostatic + +# END MODULES +""" +THIS SCRIPT FIRST OPENS ESP AND RHO CUBE FILES, VISUALIZES THE ISOSURFACES OF THE ESP CUBE FILE USING VOLUME VIEWER + +I RETURN ERRORS WHEN TRYING TO IMPLEMENT STRING LITERALS SO THAT CUBEFILE NAMES CAN BE VARIABLES + +""" + +espName = 'dichloropyridine26_q+0_esp.cube' + +rhoName = 'dichloropyridine26_q+0_esp.cube' + + +def VisualizeMolecule(session,espName,rhoName): + + run(session, "open dichloropyridine26_q+0_esp.cube") + run(session, "open dichloropyridine26_q+0_rho.cube") + run(session, "volume #1 style surface level .038") + run(session, "lighting simple") + run(session, "graphics silhouettes false") + run(session, "lighting shadows false") + #run(session, "color electrostatic #1.1#1.2 map #2 palette 0,#ff0000:0.025,#ffffff:0.05,#0000ff") + run(session, "hide #2 model") +# END VISUALIZEMOLECULE + +VisualizeMolecule(session,espName,rhoName) +""" +TODO: + +COLOR MAPPING FUNCTION +SYSARGS AND STRING LITERALS +""" diff --git a/examples/esp/visualize_scl.py b/examples/esp/visualize_scl.py new file mode 100644 index 00000000..db059780 --- /dev/null +++ b/examples/esp/visualize_scl.py @@ -0,0 +1,42 @@ +import os,sys + +from chimerax.core.commands import run, Command, CmdDesc, RestOfLine +from chimerax.core import errors + +from chimerax.map import Volume +from chimerax.map_data.gaussian.gaussian_grid import GaussianGrid +from chimerax.surface import color_electrostatic + +# END MODULES +""" +THIS SCRIPT FIRST OPENS ESP AND RHO CUBE FILES, VISUALIZES THE ISOSURFACES OF THE ESP CUBE FILE USING VOLUME VIEWER + +I RETURN ERRORS WHEN TRYING TO IMPLEMENT STRING LITERALS SO THAT CUBEFILE NAMES CAN BE VARIABLES + +""" +# NONFUNCTIONALL +espName = 'dichloropyridine26_q+0_esp.cube' +rhoName = 'dichloropyridine26_q+0_esp.cube' + + +def VisualizeMolecule(session,espName,rhoName): + + run(session, "open scl2_esp.cube") + run(session, "open scl2_rho.cube") + run(session, "volume #1 style surface level .038") + run(session, "lighting simple") + run(session, "graphics silhouettes false") + run(session, "lighting shadows false") + #run(session, "color electrostatic #1.1#1.2 map #2 palette 0,#ff0000:0.025,#ffffff:0.05,#0000ff") + run(session, "hide #2 model") +# END VISUALIZEMOLECULE + +VisualizeMolecule(session,espName,rhoName) + + +""" +TODO: + +COLOR MAPPING FUNCTION +SYSARGS AND STRING LITERALS +""" From 803d22765944ebba1018a8b02e2c5583359dbaae Mon Sep 17 00:00:00 2001 From: nwcad2020 Date: Mon, 19 Jul 2021 21:19:39 -0400 Subject: [PATCH 002/126] added visualization and save to image and cxs --- examples/esp/visualize.py | 24 ++++++++++++++++++++++-- 1 file changed, 22 insertions(+), 2 deletions(-) diff --git a/examples/esp/visualize.py b/examples/esp/visualize.py index 89429251..159a3419 100644 --- a/examples/esp/visualize.py +++ b/examples/esp/visualize.py @@ -12,26 +12,46 @@ I RETURN ERRORS WHEN TRYING TO IMPLEMENT STRING LITERALS SO THAT CUBEFILE NAMES CAN BE VARIABLES + +WE NEED TO FIND A MEANS OF IMPLEMENTING FSTRING{rhoName} etc. """ espName = 'dichloropyridine26_q+0_esp.cube' rhoName = 'dichloropyridine26_q+0_esp.cube' +colorFile = rhoName # ?????? +isosurfaceValue = '.0555' + def VisualizeMolecule(session,espName,rhoName): run(session, "open dichloropyridine26_q+0_esp.cube") run(session, "open dichloropyridine26_q+0_rho.cube") - run(session, "volume #1 style surface level .038") + run(session, "volume #1 style surface level .0555") run(session, "lighting simple") run(session, "graphics silhouettes false") run(session, "lighting shadows false") - #run(session, "color electrostatic #1.1#1.2 map #2 palette 0,#ff0000:0.025,#ffffff:0.05,#0000ff") run(session, "hide #2 model") # END VISUALIZEMOLECULE +def ColorElectrostaticChimera(session,espName,rhoName,colorFile): + run(session, "hide #2 model") + run(session, "color gradient #1 map #2 palette rainbow") + + + +def SaveMoleculeChimera(session): + run(session, "hide #2 model") + run(session, "save outFile.cxs") #CHIMERAX SAVE STATE + run(session, "save outFile.png") # SAVE AS PNG IMAGE + + +#END SAVEMOLECULECHIMERA VisualizeMolecule(session,espName,rhoName) +ColorElectrostaticChimera(session,espName,rhoName,colorFile) +SaveMoleculeChimera(session) + """ TODO: From 6a8731d7c3aa61a0370ad3a817615aa80dc4501d Mon Sep 17 00:00:00 2001 From: nwcad2020 Date: Wed, 21 Jul 2021 23:13:12 -0400 Subject: [PATCH 003/126] rdkit annotation 2D --- examples/annotate/draw.py | 32 ++++++++++++++++++++++++++++++++ 1 file changed, 32 insertions(+) create mode 100644 examples/annotate/draw.py diff --git a/examples/annotate/draw.py b/examples/annotate/draw.py new file mode 100644 index 00000000..f1875b27 --- /dev/null +++ b/examples/annotate/draw.py @@ -0,0 +1,32 @@ +import sys,os + +from rdkit import Chem +from rdkit.Chem.Draw import rdMolDraw2D + + +mol = Chem.MolFromSmiles('Cl[C@H](F)NC\C=C\C') +image = rdMolDraw2D.MolDraw2DCairo(500,400) + +def visualizeChiralCenter(image): + image.drawOptions().addStereoAnnotation = True + +def visFormalCharge(mol,image): + + + + + + + +def imageGenerate(image): + image.drawOptions().addAtomIndices = True + image.DrawMolecule(mol) + image.FinishDrawing() + image.WriteDrawingText('test.png') + +if len(sys.argv) >= 2: + if sys.argv[1] == '-c' or sys.argv[1] == '--chirality': + visualizeChiralCenter(image) + +visFormalCharge +imageGenerate(image) From de94a65156cd1abd2d8c6a4f80aa195a6895e196 Mon Sep 17 00:00:00 2001 From: nwcad2020 Date: Wed, 21 Jul 2021 23:20:38 -0400 Subject: [PATCH 004/126] rdkit, label stereoisomers and cis/trans --- examples/annotate/draw.py | 5 ++--- examples/annotate/test.png | Bin 0 -> 11782 bytes examples/annotate/testNoChiral.png | Bin 0 -> 10646 bytes 3 files changed, 2 insertions(+), 3 deletions(-) create mode 100644 examples/annotate/test.png create mode 100644 examples/annotate/testNoChiral.png diff --git a/examples/annotate/draw.py b/examples/annotate/draw.py index f1875b27..90f7c376 100644 --- a/examples/annotate/draw.py +++ b/examples/annotate/draw.py @@ -10,9 +10,9 @@ def visualizeChiralCenter(image): image.drawOptions().addStereoAnnotation = True -def visFormalCharge(mol,image): - +#def visFormalCharge(mol,image): + @@ -28,5 +28,4 @@ def imageGenerate(image): if sys.argv[1] == '-c' or sys.argv[1] == '--chirality': visualizeChiralCenter(image) -visFormalCharge imageGenerate(image) diff --git a/examples/annotate/test.png b/examples/annotate/test.png new file mode 100644 index 0000000000000000000000000000000000000000..16e40afd1398f1328b87060a900ff313eb39a395 GIT binary patch literal 11782 zcmeHt^;eY9*YBW&3W!KaD+ow~bSsS#f&$V4(l8+1AP5pFf`qh6cf-&nAwzcz;3zf3 z3^l|IagX2k-n;G(@4A1$T^G=q1!tb;Is5FrKXFdJX(NKQ;!Z%}Q(IJppfBtx{q$Yvz_U+qO zEV;I0`Pjnv*uI6zT)E*0!M0J7kPQ%u;NI9%_Py`q|0A^Yft2_-^zXGR)v&5xZ6wOH zRBuZkc`MeJudDQE5+;bEHp_>9Veoq@1$qW%1pAoHl3^*EF;OiD#Book83GC2yXFIV zb_;nEa)S*)@aXY78OVbuHxdXDB^vVWZWl9zS{ZgVH0=Km`hOw>x_P=exh^IS3kC+I zg?{TP76Qwszqm3j=tI+dQ_UcVnYo&T3_iAmY>R_oI)Ow?Mk)$X44Dn*1v&Cr$q>CY zU1rkc>7b{lXK%mp?Qyv6P}(X6o`gRbQBd$d+^DUs?F=Ug@b#5FMtJ0? 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488bbbcacc128041c5b554aeb123d8dfb195ff67 Mon Sep 17 00:00:00 2001 From: nwcad2020 Date: Wed, 21 Jul 2021 23:32:58 -0400 Subject: [PATCH 005/126] removed unnecessary modules --- examples/esp/visualize.py | 4 ---- 1 file changed, 4 deletions(-) diff --git a/examples/esp/visualize.py b/examples/esp/visualize.py index 159a3419..02b2076f 100644 --- a/examples/esp/visualize.py +++ b/examples/esp/visualize.py @@ -2,10 +2,6 @@ from chimerax.core.commands import run, Command, CmdDesc, RestOfLine from chimerax.core import errors -from chimerax.map import Volume -from chimerax.map_data.gaussian.gaussian_grid import GaussianGrid -from chimerax.surface import color_electrostatic - # END MODULES """ THIS SCRIPT FIRST OPENS ESP AND RHO CUBE FILES, VISUALIZES THE ISOSURFACES OF THE ESP CUBE FILE USING VOLUME VIEWER From b1dc0a1c812531e2cd97b852d234cdb2b12d9d46 Mon Sep 17 00:00:00 2001 From: nwcad2020 Date: Wed, 21 Jul 2021 23:54:50 -0400 Subject: [PATCH 006/126] currently nonfunctioning dihedral angle calculator --- examples/annotate/draw.py | 24 ++++++++++++++++-------- 1 file changed, 16 insertions(+), 8 deletions(-) diff --git a/examples/annotate/draw.py b/examples/annotate/draw.py index 90f7c376..d7404239 100644 --- a/examples/annotate/draw.py +++ b/examples/annotate/draw.py @@ -1,8 +1,10 @@ import sys,os from rdkit import Chem +from rdkit.Chem import AllChem +from rdkit.Chem import Draw from rdkit.Chem.Draw import rdMolDraw2D - +from rdkit.Chem import rdMolTransforms mol = Chem.MolFromSmiles('Cl[C@H](F)NC\C=C\C') image = rdMolDraw2D.MolDraw2DCairo(500,400) @@ -10,14 +12,18 @@ def visualizeChiralCenter(image): image.drawOptions().addStereoAnnotation = True -#def visFormalCharge(mol,image): - +def dihedralAngles(mol,image): + # NONFUNCTIONAL + """ + for q in mol.GetBonds(): + bonds = (q.GetBeginAtomIdx(),q.GetEndAtomIdx()) + AllChem.Compute2DCoords(mol) + isomerize = mol.GetConformer() - - - - - + #TORSION + rdMolTransforms.GetAngleDeg(isomerize,bonds) + # DIHEDRAL + """ def imageGenerate(image): image.drawOptions().addAtomIndices = True image.DrawMolecule(mol) @@ -28,4 +34,6 @@ def imageGenerate(image): if sys.argv[1] == '-c' or sys.argv[1] == '--chirality': visualizeChiralCenter(image) + +dihedralAngles(mol,image) imageGenerate(image) From b59ab326d1e52be2267be1ad69e964b704f7cc53 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Sun, 25 Jul 2021 23:42:54 -0400 Subject: [PATCH 007/126] added flags option, atomic numbers, remove dihedral angle, ISSUE: SMILES FORMATTING --- examples/annotate/draw.py | 51 ++++++++++++++++++++++++--------------- 1 file changed, 31 insertions(+), 20 deletions(-) diff --git a/examples/annotate/draw.py b/examples/annotate/draw.py index d7404239..b05593d9 100644 --- a/examples/annotate/draw.py +++ b/examples/annotate/draw.py @@ -1,39 +1,50 @@ import sys,os - from rdkit import Chem from rdkit.Chem import AllChem from rdkit.Chem import Draw from rdkit.Chem.Draw import rdMolDraw2D from rdkit.Chem import rdMolTransforms +from rdkit.Chem import PeriodicTable mol = Chem.MolFromSmiles('Cl[C@H](F)NC\C=C\C') image = rdMolDraw2D.MolDraw2DCairo(500,400) +outName = "out.png" + def visualizeChiralCenter(image): image.drawOptions().addStereoAnnotation = True -def dihedralAngles(mol,image): - # NONFUNCTIONAL - """ - for q in mol.GetBonds(): - bonds = (q.GetBeginAtomIdx(),q.GetEndAtomIdx()) - AllChem.Compute2DCoords(mol) - isomerize = mol.GetConformer() - - #TORSION - rdMolTransforms.GetAngleDeg(isomerize,bonds) - # DIHEDRAL - """ +def atomicNumber(mol,image): + for i, atom in enumerate(mol.GetAtoms()): + atom.SetProp("molAtomMapNumber", str(atom.GetAtomicNum()+1)) + def imageGenerate(image): - image.drawOptions().addAtomIndices = True + # image.drawOptions().addAtomIndices = True image.DrawMolecule(mol) image.FinishDrawing() - image.WriteDrawingText('test.png') + image.WriteDrawingText(outName) -if len(sys.argv) >= 2: - if sys.argv[1] == '-c' or sys.argv[1] == '--chirality': - visualizeChiralCenter(image) +# THIS CODE ALLOWS MULTIPLE FLAGS +i = 1 +if len(sys.argv) >= 2: + while True: + if sys.argv[i] == '-o' or sys.argv[i] == '--output': + outName = sys.argv[i+1] + if sys.argv[i] == '-c' or sys.argv[i] == '--chirality': + visualizeChiralCenter(image) + if sys.argv[i] == '-n' or sys.argv[i] == '--atom-number': + atomicNumber(mol,image) + if sys.argv[i] == '-h' or sys.argv[i] == '--help': + print(" This script visualizes atomic properties") + print(" Input currently must be in SMILES") + print(" ") + print("-h --help obtain this message") + print("-c --chirality visualize E-Z and Stereoisomers") + print("-n --atom-number visualize atomic numbers") + quit() -dihedralAngles(mol,image) -imageGenerate(image) + i = i + 1 + if len(sys.argv) <= i: + imageGenerate(image) + quit() From e088907ad9ba8067db4e0074bf094b191ba10a6f Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Mon, 26 Jul 2021 21:42:33 -0400 Subject: [PATCH 008/126] first push of jupyter --- examples/annotate/Annotate_RDKit.ipynb | 168 +++++++++++++++++++++++++ 1 file changed, 168 insertions(+) create mode 100644 examples/annotate/Annotate_RDKit.ipynb diff --git a/examples/annotate/Annotate_RDKit.ipynb b/examples/annotate/Annotate_RDKit.ipynb new file mode 100644 index 00000000..0cd1a497 --- /dev/null +++ b/examples/annotate/Annotate_RDKit.ipynb @@ -0,0 +1,168 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 110, + "id": "2383906c", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy \n", + "import sys,os\n", + "\n", + "from iodata import load_one, dump_one \n", + "from iodata import iodata\n", + "\n", + "from rdkit import Chem\n", + "from rdkit.Chem import AllChem \n", + "from rdkit.Chem import Draw\n", + "from rdkit.Chem.Draw import rdMolDraw2D\n", + "from rdkit.Chem import rdMolTransforms \n", + "from rdkit.Chem import PeriodicTable\n", + "from rdkit.Chem.Draw import DrawingOptions\n", + "\n", + "from IPython.display import Image\n" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "id": "73e41837", + "metadata": {}, + "outputs": [], + "source": [ + "inputFile = 'dichloropyridine26_q+0.fchk' \n", + "outputFile = 'dichloropyridine26_q+0.sdf'\n", + "loadInput = load_one(inputFile)\n", + "dump_one(loadInput,outputFile)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "id": "87c7a2cf", + "metadata": {}, + "outputs": [ + { + "ename": "AttributeError", + "evalue": "'str' object has no attribute 'atcharges'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minputFile\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0matcharges\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minputFile\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m: 'str' object has no attribute 'atcharges'" + ] + } + ], + "source": [ + "print(inputFile.atcharges(inputFile))" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "id": "de1ea59f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "RDKit WARNING: [21:40:34] WARNING: not removing hydrogen atom without neighbors\n", + "RDKit WARNING: [21:40:34] WARNING: not removing hydrogen atom without neighbors\n", + "RDKit WARNING: [21:40:34] WARNING: not removing hydrogen atom without neighbors\n" + ] + } + ], + "source": [ + "mol = Chem.MolFromMolFile(outputFile)\n", + "#mol = Chem.MolFromSmiles('Cl[C@H](F)NC\\C=C\\C')" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "id": "856f716f", + "metadata": {}, + "outputs": [], + "source": [ + "image = rdMolDraw2D.MolDraw2DCairo(500,400) \n", + "\n", + "def imageGenerate(image):\n", + " image.DrawMolecule(mol) \n", + " image.FinishDrawing()\n", + " image.WriteDrawingText('test.png')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "id": "c8816714", + "metadata": {}, + "outputs": [], + "source": [ + "image.drawOptions().addStereoAnnotation = True\n" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "id": "8be6be24", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "imageGenerate(image)\n", + "display(Image(filename='test.png'))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d441e3e1", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6b36dc40", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 3cc93a2e9a04d98449d364627aee809f48c6bf18 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Tue, 27 Jul 2021 20:37:10 -0400 Subject: [PATCH 009/126] backup.ipynb --- examples/annotate/bkup.ipynb | 164 +++++++++++++++++++++++++++++++++++ 1 file changed, 164 insertions(+) create mode 100644 examples/annotate/bkup.ipynb diff --git a/examples/annotate/bkup.ipynb b/examples/annotate/bkup.ipynb new file mode 100644 index 00000000..4a5f05b0 --- /dev/null +++ b/examples/annotate/bkup.ipynb @@ -0,0 +1,164 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 42, + "id": "5d50bb3a", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy \n", + "import sys,os\n", + "\n", + "from iodata import load_one, dump_one \n", + "from iodata import iodata\n", + "'''\n", + "from iodata import formats \n", + "from iodata.formats import sdf\n", + "from iodata import formats \n", + "from iodata.formats import sdf\n", + "from iodata.formats.sdf import dump_one \n", + "'''\n", + "\n", + "from rdkit import Chem\n", + "from rdkit.Chem import AllChem \n", + "from rdkit.Chem import Draw\n", + "from rdkit.Chem.Draw import rdMolDraw2D\n", + "from rdkit.Chem.Draw import MolToImage\n", + "from rdkit.Chem import rdMolTransforms \n", + "from rdkit.Chem import PeriodicTable\n", + "from rdkit.Chem import rdmolfiles\n", + "from rdkit.Chem.Draw import DrawingOptions\n", + "\n", + "from IPython.display import Image\n" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "id": "22ce65a2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mulliken [-0.48356702 1.21850493 0.70394801 0.64173068 -0.65568545 -0.36909143\n", + " -0.49770781 -0.55813191]\n", + "esp [-0.47309653 -0.16880218 0.49252442 -0.35304122 0.14979923 -0.00819151\n", + " 0.19343217 0.16737561]\n", + "npa [-0.54651148 -0.31660749 0.39734959 -0.3321443 0.23668159 0.12814813\n", + " 0.22080404 0.21227993]\n", + " \n", + "Atomic Numbers of Individual Atoms: \n", + "8 O\n", + "6 C\n", + "6 C\n", + "6 C\n", + "1 H\n", + "1 H\n", + "1 H\n", + "1 H\n", + "C.C.C.O.[HH].[HH].[HH].[HH]\n", + "None\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "RDKit WARNING: [20:33:50] WARNING: not removing hydrogen atom without neighbors\n", + "RDKit WARNING: [20:33:50] WARNING: not removing hydrogen atom without neighbors\n", + "RDKit WARNING: [20:33:50] WARNING: not removing hydrogen atom without neighbors\n", + "RDKit WARNING: [20:33:50] WARNING: not removing hydrogen atom without neighbors\n", + "RDKit ERROR: [20:33:50] Explicit valence for atom # 4 H, 3, is greater than permitted\n" + ] + } + ], + "source": [ + "input = 'acrolein_q+0.fchk'\n", + "loadInput = load_one(input)\n", + "dump_one(loadInput,'acrolein.sdf')\n", + "\n", + "for key, value in loadInput.atcharges.items():\n", + " dictCharges = f\"{key[0:]} {value[0:]}\" \n", + " print(dictCharges)\n", + "\n", + "readFile = Chem.MolFromMolFile('acrolein.sdf')\n", + "\n", + "print(\" \")\n", + "print(\"Atomic Numbers of Individual Atoms: \")\n", + "for m in readFile.GetAtoms():\n", + " print(f\"{m.GetAtomicNum()} {m.GetSymbol()}\") \n", + " \n", + "smiles = Chem.MolToSmiles(readFile)\n", + "molTemp = smiles.replace(\".\",\"\")\n", + "print(smiles)\n", + "test = Chem.MolFromSmiles(molTemp)\n", + "print(test)" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "id": "a492e5f8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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IwoIGDaLk5N/29upFmzaRXE41NeTnR8uWUX7+b3vv36f168nDg8TZvStWqDW3pmMTBGHRokXz588XE2hraztnzpwVK1aEhYWNHz/eyMiooqLi448//vOf/8xdKY933nnn7bff5q6iMV2eCc+coTffpO7dKTqaHB0pJ4diY8nPj86cIeVad3/6EyUm0ty5VFND69bRunVkY0OvvEJlZXT7dsNYokxGn33WcE8TSNqwYYN4X6KpqWlcXNxHH30kl//2/2xeXt4HH3yQmZmpUCjq6uo6depwi5uIU5FSU1O5C/kdXf41nD9PVlaUkUHiQzbfe4/s7Cg4mOLi6Lvvfms2YwaNHEmRkZSURAoF3b1Ld+827DIyIi8viooiQ1/7SCtKSkrE9VfkcnlSUpKPj0+jBgMHDkxOTj548OCsWbM4CoQXUzuEU6fS1atERM9uP3mxefNoyhQiIjs78vKiRYt+NyHmnXeIiHJzG/eyt6eEBKqupjNnqKCASkupe3fq1Ys8Pam9zvdrh7Zs2VJVVUVEH374YdMEiszNzZHA9kbtEHbtSuo8sNbS8nexaTQlTfx42eTCcQMTE/L2VrceaOLAgQPii4ULF7IWAppp2xkzJ08SEXl4tOmbdgy1tbVZWVlE1LNnz+HDh3OXAxpow6/m1dUUE0NdutCzRx2BFhUUFIhr6T5/K536SktLm64xoVRZWdnyytqxlStXxsbGqtqrakX9qKioL1TfSNSCdfjbKoSCQKGhlJtLMTHN3EcPLaK8CdjKyqoF3ad1gFulmyovLy9Xf23O1vWS0CYhfPqUFi+mrVtp8WJasaIt3rHjqXp2B5mxsTFvJXokICDgj3/8o6q9mZmZL7yT2N/f/x3xEuOLnD17tukjg6TpPoQPH1JgIP3wA4WGUlyczt+uo1KuzN+yj47bt28XH0v8QjExMd9++23LCmvPXF1dJa4Vy2SyF4Zw+PDhEr2MjIzaWQizsui99+jmTfr730nyEQLQSsq1G5rOVlOHra2to6Ojqr0dYXF+RroMYUICzZ9PVVW0ZAnZ29OePb/tevdd6njTNXTq1Vdf7dGjx4MHD3JycjrmbBj9pcu/qrVrG5a6WL+eGq0v8PixWqOOoDaZTPbGG28cOXKksrIyJSVl0gtnw0O7pMsQ/vADqVrhXPruQWiRgICAI0eOEFFsbOzEiRMN8lHbBkmXg/W2tmRv/+Jfcu4H0Rii6dOni+vknjhxQmL4C9obhMFwGBsbx8fHiyfAv/zlL/PmzSsoKHi+QXl5+aZNmzw8PIqLi7XyjoIgBAYGurm5ubm5Gd5TrNsMvr4blAkTJnz33XdBQUFPnjzZsmVLfHy8i4tLnz59unTpcuvWrezsbHE+R2JiYnh4eOvfbuvWrQkJCf369btx48Zj5Yp4oCGE0NAEBgYOHjz4k08+OXHihCAIWVlZ4pxSkVwuf/PNNz21cWtYUVHR8uXL3dzcJk+e/Le//a31B2wzdnZ2ixcvJiJX5X2tL+Lk5CQ2Ex8gZWtrK/44YsQIiV6Ojo7P91KHTBAENZuCfrl161ZKSsqNGzdKSko6d+788ssvv/baa6NHj+713LKRly9fvnjxIhFNnDhRYt2KCxcu5ObmEtHUqVO7PrusPX369KSkpPPnzx8+fDgiIiIlJUV8mBRoTM21aACed+jQISIKDw8XBCEqKoqIUlJSuIvSV7gwAxp7/PhxSEiInZ0dnjivFfhOCBpbvnx5QUHBgQMHumLGhTbgTAiaOXXq1DfffDN16tQp4jom0Go4E4IGqqurg4OD5XL53LlzLzx7NsHdu3eJKC8vr3fv3q+99hprgXoJV0dBA0eOHJG4Ac/Z2fnKlSttWY9hwJkQNPD666/v3r270cb9+/fv3LkzMjJSK8OPHRBCCBqwtraePn16o41Xr14lorFjx2KcsGVwYQaAGc6E0FrTpk1zcnJq2SpvQLgwA8AOH0cBmCGEAMwQQgBmCCEAM4QQgBlCCMAMIQRghhACMEMIAZghhADMEEIAZgghADOEEIAZQgjADCEEYIYQAjBDCAGYIYQAzBBCAGZY6ElfBQYGlpWVOTo6rlu3TqKZr68vEbm7u0dERBDR3LlzHzx44ODg8OWXX0r08vPzEwRh5MiRkZGR2i0bmkII9VVycnJJSYmbm5tEG+HZM8yUjh07VlRUJP1wTCL6/vvviejp06etrxOahY+jAMwQQgBmCCEAM4QQgBlCCMAMIQRghiEK/VZZWXnu3DlNeykUihb0Ah1BCPXblStXPDw8NO31yy+/tKAX6Ag+jgIww5lQv7m6up4+fVqigZmZWdONw4cPT09P17QX6AhCqN/kcrmpqamqvaoePimTySR6QRvDx1EAZgghADOEEIAZQgjADCEEYIYQAjBDCAGYYZxQXyUlJdXW1nbr1k2ijUwmS01NJaKXX35Z3LJv376ampquXbtKHzwtLU0QBGUv0CmZqvFcAGgb+DgKwAwhBGCGEAIwQwgBmCGEAMwQQgBmCCEAM4QQgBlCCMAMIQRghhACMEMIAZghhADMEEIAZgghADOEEIAZQgjADCEEYIYQAjBDCAGYIYQAzBBCAGYIIQAzhBCAGUIIwAwhBGCGEAIwQwgBmCGEAMwQQgBmCCEAM4QQgBlCCMAMIQRghhACMEMIAZghhADMEEIAZgghADOEEIAZQgjADCEEYIYQAjBDCAGYIYQAzBBCAGYIIQAzhBCAGUIIwAwhBGCGEAIwQwgBmCGEAMwQQgBmCCEAM4QQgBlCCMAMIQRghhACMEMIAZghhADMEEIAZgghADOEEIAZQgjADCEEYIYQAjBDCAGY/T/p9hkwsA/k5gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "img = Draw.MolToImage(readFile)\n", + "\n", + "#img = MolToImage(smile, size=(400, 400),fitImage=True)\n", + "img" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1c0de00d", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7aaab0f9", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:.conda-my-rdkit-env] *", + "language": "python", + "name": "conda-env-.conda-my-rdkit-env-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From ced71a0fd80eaeb8cf4dc2058a5e9185e40d8c67 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Wed, 28 Jul 2021 14:55:20 -0400 Subject: [PATCH 010/126] 1. removed extra imports 2. removed variables for functions 3. add instructions to run in comments near beginning "chimerax visualize.py" --- examples/esp/visualize.py | 31 ++++++++++--------------------- 1 file changed, 10 insertions(+), 21 deletions(-) diff --git a/examples/esp/visualize.py b/examples/esp/visualize.py index 02b2076f..de422512 100644 --- a/examples/esp/visualize.py +++ b/examples/esp/visualize.py @@ -1,26 +1,22 @@ -import os,sys -from chimerax.core.commands import run, Command, CmdDesc, RestOfLine +from chimerax.core.commands import run from chimerax.core import errors # END MODULES """ THIS SCRIPT FIRST OPENS ESP AND RHO CUBE FILES, VISUALIZES THE ISOSURFACES OF THE ESP CUBE FILE USING VOLUME VIEWER -I RETURN ERRORS WHEN TRYING TO IMPLEMENT STRING LITERALS SO THAT CUBEFILE NAMES CAN BE VARIABLES - - WE NEED TO FIND A MEANS OF IMPLEMENTING FSTRING{rhoName} etc. -""" -espName = 'dichloropyridine26_q+0_esp.cube' -rhoName = 'dichloropyridine26_q+0_esp.cube' +TO EXECUTE THIS SCRIPT RUN +' chimerax visualize.py -colorFile = rhoName # ?????? -isosurfaceValue = '.0555' +CURRENTLY THE INPUT *_esp.cube and *_rho.cube inputs, ISOSURFACE LEVELS, AND OUTPUT FILENAMES ARE HARD CODED + +""" -def VisualizeMolecule(session,espName,rhoName): +def VisualizeMolecule(session): run(session, "open dichloropyridine26_q+0_esp.cube") run(session, "open dichloropyridine26_q+0_rho.cube") @@ -31,7 +27,7 @@ def VisualizeMolecule(session,espName,rhoName): run(session, "hide #2 model") # END VISUALIZEMOLECULE -def ColorElectrostaticChimera(session,espName,rhoName,colorFile): +def ColorElectrostaticChimera(session): run(session, "hide #2 model") run(session, "color gradient #1 map #2 palette rainbow") @@ -44,13 +40,6 @@ def SaveMoleculeChimera(session): #END SAVEMOLECULECHIMERA -VisualizeMolecule(session,espName,rhoName) -ColorElectrostaticChimera(session,espName,rhoName,colorFile) +VisualizeMolecule(session) +ColorElectrostaticChimera(session) SaveMoleculeChimera(session) - -""" -TODO: - -COLOR MAPPING FUNCTION -SYSARGS AND STRING LITERALS -""" From 77ce8deafa80a8206290fee20eb306883d7ab30d Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Thu, 29 Jul 2021 18:07:58 -0400 Subject: [PATCH 011/126] newest annotation notebook --- examples/annotate/Annotate_RDKit.ipynb | 184 +++++++++++++++---------- 1 file changed, 112 insertions(+), 72 deletions(-) diff --git a/examples/annotate/Annotate_RDKit.ipynb b/examples/annotate/Annotate_RDKit.ipynb index 0cd1a497..1ca374fe 100644 --- a/examples/annotate/Annotate_RDKit.ipynb +++ b/examples/annotate/Annotate_RDKit.ipynb @@ -1,136 +1,176 @@ { "cells": [ + { + "cell_type": "markdown", + "id": "28446545", + "metadata": {}, + "source": [ + "# Annotating 2D Molecular Structures Using RDKit \n", + "## Introduction\n", + "This program is meant to use IOData to parse a 'fchk' input file for atoms and atomic charges, then use RDKit to visualize the molecule in question and output as a png file. RDKit will also colorize in accordance to atomic charges\n", + " \n", + "\n", + "## Dependencies\n", + "\n", + "1. We need to load dependencies for both IOData and RDKit\n", + "\n", + "2. IOData requires a means to load an input file \"input\" using `load_one`, and output a 'sdf' file using `dump_one`,\n", + "\n", + "3. RDKit is modular, and requires specific modules for certain tasks. IE. when we want to manipulate a chemical, we need RDKit to import Chem/AllChem, and then individually import necessary submodules such as `PeriodicTable`\n", + "\n", + "Below are the dependencies\n" + ] + }, { "cell_type": "code", - "execution_count": 110, - "id": "2383906c", + "execution_count": 109, + "id": "5d50bb3a", "metadata": {}, "outputs": [], "source": [ - "import numpy \n", - "import sys,os\n", "\n", "from iodata import load_one, dump_one \n", "from iodata import iodata\n", + "'''\n", + "from iodata import formats \n", + "from iodata.formats import sdf\n", + "from iodata import formats \n", + "from iodata.formats import sdf\n", + "from iodata.formats.sdf import dump_one \n", + "'''\n", "\n", "from rdkit import Chem\n", "from rdkit.Chem import AllChem \n", "from rdkit.Chem import Draw\n", "from rdkit.Chem.Draw import rdMolDraw2D\n", + "from rdkit.Chem.Draw import MolToImage\n", "from rdkit.Chem import rdMolTransforms \n", "from rdkit.Chem import PeriodicTable\n", + "from rdkit.Chem import rdmolfiles\n", "from rdkit.Chem.Draw import DrawingOptions\n", "\n", "from IPython.display import Image\n" ] }, { - "cell_type": "code", - "execution_count": 111, - "id": "73e41837", + "cell_type": "markdown", + "id": "5f697204", "metadata": {}, - "outputs": [], - "source": [ - "inputFile = 'dichloropyridine26_q+0.fchk' \n", - "outputFile = 'dichloropyridine26_q+0.sdf'\n", - "loadInput = load_one(inputFile)\n", - "dump_one(loadInput,outputFile)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 112, - "id": "87c7a2cf", - "metadata": {}, - "outputs": [ - { - "ename": "AttributeError", - "evalue": "'str' object has no attribute 'atcharges'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minputFile\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0matcharges\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minputFile\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;31mAttributeError\u001b[0m: 'str' object has no attribute 'atcharges'" - ] - } - ], "source": [ - "print(inputFile.atcharges(inputFile))" + "## Manipulate Our Input\n", + "\n", + "We need to load our input using the afforementioned `load_one` and save to 'sdf' using `dump_one`\n", + "\n", + "### IOData manipulation \n", + "After loading and saving, we want to manipulate the loaded input file 'loadInput'\n", + "\n", + "1. We want to create a key : value dictionary, dictCharges, of our atomic charges, accomplished using the atcharges API call \n", + "\n", + "### RDKit Manipulation\n", + "\n", + "1. Working with our saved output file, we want to read it using RDKit, accomplished by `Chem.MolFromMolFile()`\n", + "\n", + "2. We can create an additional key : value dictionary tabulating our atomic numbers and atoms, accomplished by establishing a for loop for `GetAtoms()` then iterating through each atom.\n", + "\n", + "3. We can also examine our readed 'sdf' file by running `Chem.MolToSmiles()` \n" ] }, { "cell_type": "code", - "execution_count": 113, - "id": "de1ea59f", + "execution_count": 110, + "id": "22ce65a2", "metadata": {}, "outputs": [ { - "name": "stderr", + "name": "stdout", "output_type": "stream", "text": [ - "RDKit WARNING: [21:40:34] WARNING: not removing hydrogen atom without neighbors\n", - "RDKit WARNING: [21:40:34] WARNING: not removing hydrogen atom without neighbors\n", - "RDKit WARNING: [21:40:34] WARNING: not removing hydrogen atom without neighbors\n" + "mulliken [-0.48356702 1.21850493 0.70394801 0.64173068 -0.65568545 -0.36909143\n", + " -0.49770781 -0.55813191]\n", + "esp [-0.47309653 -0.16880218 0.49252442 -0.35304122 0.14979923 -0.00819151\n", + " 0.19343217 0.16737561]\n", + "npa [-0.54651148 -0.31660749 0.39734959 -0.3321443 0.23668159 0.12814813\n", + " 0.22080404 0.21227993]\n", + " \n", + "Atomic Numbers of Individual Atoms: \n", + "8 O\n", + "6 C\n", + "6 C\n", + "6 C\n", + "1 H\n", + "1 H\n", + "1 H\n", + "1 H\n", + "C.C.C.O.[HH].[HH].[HH].[HH]\n", + "CCCO[HH][HH][HH][HH]\n", + "None\n" ] } ], "source": [ - "mol = Chem.MolFromMolFile(outputFile)\n", - "#mol = Chem.MolFromSmiles('Cl[C@H](F)NC\\C=C\\C')" - ] - }, - { - "cell_type": "code", - "execution_count": 114, - "id": "856f716f", - "metadata": {}, - "outputs": [], - "source": [ - "image = rdMolDraw2D.MolDraw2DCairo(500,400) \n", + "input = 'acrolein_q+0.fchk'\n", + "loadInput = load_one(input)\n", + "dump_one(loadInput,'acrolein.sdf')\n", + "\n", + "for key, value in loadInput.atcharges.items():\n", + " dictCharges = f\"{key[0:]} {value[0:]}\" \n", + " print(dictCharges)\n", "\n", - "def imageGenerate(image):\n", - " image.DrawMolecule(mol) \n", - " image.FinishDrawing()\n", - " image.WriteDrawingText('test.png')\n" + "readFile = Chem.MolFromMolFile('acrolein.sdf')\n", + "\n", + "print(\" \")\n", + "print(\"Atomic Numbers of Individual Atoms: \")\n", + "for m in readFile.GetAtoms():\n", + " dictAtom = f\"{m.GetAtomicNum()} {m.GetSymbol()}\" \n", + " print(dictAtom)\n", + " \n", + " # THIS IS DIAGNOSTIC, I AM NOT SURE WHY DUMP_ONE OR RDKIT IS FAILING TO PRESERVE BONDS OR HOW TO RECONSTRUCT THE BONDS\n", + "smiles = Chem.MolToSmiles(readFile)\n", + "molTemp = smiles.replace(\".\",\"\")\n", + "print(smiles)\n", + "print(molTemp)\n", + "test = Chem.MolFromSmiles(molTemp)\n", + "print(test)" ] }, { - "cell_type": "code", - "execution_count": 115, - "id": "c8816714", + "cell_type": "markdown", + "id": "d68b5fec", "metadata": {}, - "outputs": [], "source": [ - "image.drawOptions().addStereoAnnotation = True\n" + "## Visualization using RDKit\n", + "Now we want to save our image and view, accomplished using `Draw.MolToImage()` " ] }, { "cell_type": "code", - "execution_count": 116, - "id": "8be6be24", + "execution_count": 111, + "id": "a492e5f8", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, + "execution_count": 111, "metadata": {}, - "output_type": "display_data" + "output_type": "execute_result" } ], "source": [ - "imageGenerate(image)\n", - "display(Image(filename='test.png'))" + "img = Draw.MolToImage(readFile)\n", + "\n", + "#img = MolToImage(smile, size=(400, 400),fitImage=True)\n", + "img" ] }, { "cell_type": "code", "execution_count": null, - "id": "d441e3e1", + "id": "1c0de00d", "metadata": {}, "outputs": [], "source": [] @@ -138,7 +178,7 @@ { "cell_type": "code", "execution_count": null, - "id": "6b36dc40", + "id": "7aaab0f9", "metadata": {}, "outputs": [], "source": [] @@ -146,9 +186,9 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python [conda env:.conda-my-rdkit-env] *", "language": "python", - "name": "python3" + "name": "conda-env-.conda-my-rdkit-env-py" }, "language_info": { "codemirror_mode": { From 2d070a7630dd71cb7a4d944e6f80128ed69c2b94 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Thu, 29 Jul 2021 19:56:26 -0400 Subject: [PATCH 012/126] special thanks Ali Tehrani; gradient viz scale set to 50 scatter plot for visualization on affine plane set to 100, failed z plane assertion test --- examples/plotting/2D_Plotting_Gradient.ipynb | 327 +++++++++++++++++++ 1 file changed, 327 insertions(+) create mode 100644 examples/plotting/2D_Plotting_Gradient.ipynb diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb new file mode 100644 index 00000000..c5fc821a --- /dev/null +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -0,0 +1,327 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plotting 2D Gradient Vector Field of Electrostatic Density \n", + "\n", + "## Introduction\n", + "This notebooks \n", + "\n", + "## Dependencies\n", + "\n", + "1. numpy\n", + "2. matplotlib \n", + "3. Chemtools " + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Initialized: \n", + " Number of basis functions : 219\n", + " Number of normalization constants : 453\n", + " Maximum shell type : 2\n", + " Center 0 : S9 S8 S8 S1 S1 P6 P6 P1 P1 Dp1 Dp1\n", + " Center 1 : S9 S8 S8 S1 S1 P6 P6 P1 P1 Dp1 Dp1\n", + " Center 2 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 3 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 4 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 5 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 6 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 7 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 8 : S3 S1 S1 P1 P1\n", + " Center 9 : S3 S1 S1 P1 P1\n", + " Center 10 : S3 S1 S1 P1 P1\n", + "\n", + "XYZ Coordinates: \n", + "[[-4.95130924e+00 2.31173977e+00 -2.64561659e-04]\n", + " [ 4.95149821e+00 2.31139962e+00 2.07869875e-04]\n", + " [ 7.55890453e-05 1.84250188e+00 -1.88972613e-05]\n", + " [-9.44863066e-05 -3.41775868e+00 1.13383568e-04]\n", + " [-2.28277027e+00 -2.09580077e+00 -1.88972613e-05]\n", + " [ 2.28267578e+00 -2.09595195e+00 1.70075352e-04]\n", + " [-2.13763930e+00 5.39856962e-01 -3.77945227e-05]\n", + " [ 2.13769600e+00 5.39705784e-01 7.55890453e-05]\n", + " [-1.70075352e-04 -5.47831606e+00 1.51178091e-04]\n", + " [-4.10063012e+00 -3.05289036e+00 -7.55890453e-05]\n", + " [ 4.10047894e+00 -3.05315492e+00 2.83458920e-04]]\n", + " \n", + "Atomic Numbers Each Atom: \n", + "[17 17 7 6 6 6 6 6 1 1 1]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from mpl_toolkits.mplot3d import Axes3D # Need this to plot in 3D\n", + "\n", + "from chemtools import Molecule\n", + "\n", + "mol = Molecule.from_file(\"dichloropyridine26_q+0.fchk\")\n", + "# mol = Molecule.from_file('acrolein_q+0.fchk')\n", + "coord = mol.coordinates\n", + "\n", + "print(\"XYZ Coordinates: \")\n", + "print(coord)\n", + "\n", + "print(\" \")\n", + "print(\"Atomic Numbers Each Atom: \")\n", + "print(mol.numbers)" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [], + "source": [ + "v1, v2 = coord[1] - coord[0], molCoord[2] - coord[0]\n", + "normal = np.cross(v1, v2)\n", + "normal /= np.linalg.norm(normal)\n", + "\n", + "a, b, c = normal\n", + "cos_theta = c\n", + "sin_theta = np.sqrt(a**2.0 + b**2.0)\n", + "u_1 = b / np.sqrt(a**2.0 + b**2.0)\n", + "u_2 = -a / np.sqrt(a**2.0 + b**2.0)\n", + "rot = np.array([\n", + " [cos_theta + u_1**2.0 * (1 - cos_theta), u_1 * u_2 * (1 - cos_theta), u_2 * sin_theta],\n", + " [u_1 * u_2 * (1 - cos_theta), cos_theta + u_2**2.0 * (1 - cos_theta), -u_1 * sin_theta],\n", + " [-u_2 * sin_theta, u_1 * sin_theta, cos_theta]\n", + "])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": {}, + "outputs": [ + { + "ename": "AssertionError", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAssertionError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mrot_coords\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrot\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mcoord\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mcoord\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0;32massert\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mall\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mabs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrot_coords\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m1e-5\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# Make sure the z-axis is zero.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrot_coords\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mrot_coords\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"ro\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtitle\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Molecular Coordinates Translate Rotated to x,y-Axis\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mAssertionError\u001b[0m: " + ] + } + ], + "source": [ + "rot_coords = np.dot(rot, (coord - coord[0]).T).T\n", + "assert np.all(np.abs(rot_coords[:, 2]) < 1e-5) # Make sure the z-axis is zero.\n", + "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\")\n", + "plt.title(\"Molecular Coordinates Translate Rotated to x,y-Axis\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-11.15737795 -4.13120126 -1.00005684]\n" + ] + }, + { + "data": { + "image/png": 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WT8GGz9zkccyT8tjtKVav33Liih0GVjjnJE+uF++3v/9SR2n8eDd5HPOkPHZ7iqfupzQ8dSxosZbnlVfJvu/WjuWYKNle76Jzqdp3jns8DnlSHrs9aXjagzRocYDnjOkwbx4UjAGErH2ziVx0DcyZ4yaPQ56Ux25PsXpTISfW2EMhqKmB2tr2d66DggIYMya+eqK1ZMZNV29aPeWV0lBWGhwehzwpj92eYvX6LSeu2MeOhepq74Tk5npfq6u947HqidaSGTddvTZ6ChqPjZ6Ux25P8cxhfisjHA6nZuReVFFRES4rK4v78atXe1tvW1th61bv1W7yZK9WXNx7PRpNrJbMuOnqtdFT0Hhs9KQ8dnuK1VtcTNwqLy/fGA6HY36QkRNLMZGI97FjRUW7jxnT9WPOeqsnWktm3HT12ugpaDw2elIeuz3F6vVbTizF6GYG5VFPyhNUnlTIiSt23aCkPOpJeYLM47ecuGIH3cygPOpJedz1FE/dT+kGJcc2MyiPelIetzzpBqUepJsZlEc9KU9QeVIhJyZ2DVqURz0pT1B5UiFfwlMRyQUWAgcCBrjAGFPtx9ig4anyqCflCTaP3/Lrrpi7gFeMMWeLSCYwwqdxO6RBi7uegsZjoyflsdtTPHU/lXR4KiI5wGpgfxPnYBqeKo+rPDZ6Uh67Pbkanu4PbAYeFJE3RWShiGTFauqLNGhRHvWkPEHlSYX8mNgHA4cB/22MORRoBK7d80EiUiYiK0RkxebNm/v0BBq0KI96Up6g8qRCfqyx1wA1xphlbd8/STcTuzGmAqgAbymmL0+g4anyqCflCTKP30r6it0Yswn4WES+0nboZODdZMfd+3m8rxq0uOcpaDw2elIeuz3FU/dTvuw8FZFD8G53zATWAd81xnze0+M1PFUeV3ls9KQ8dntyNTzFGLPKGDPVGFNijPlGb5N6ItKgRXnUk/IElScV0p2njgUtrnkKGo+NnpTHbk+xelMhfdteB4MW1zwFjcdGT8pjtyfnwtP+kgYt7noKGo+NnpTHbk/x1P2Uvm2vY0GL8qgn5XHLk7PhaaqlQYvyqCflCSpPKuTEGnsoBDU1UFsLDQ3eJ3wXFMCYMfHVE60lM266em30FDQeGz0pj92eYvX6LSeu2MeOhepq74Tk5npfq6u947HqidaSGTddvTZ6ChqPjZ6Ux25P8cxhfisjHA6nZuReVFFRES4rK4v78atXQ14etLbC1q3eq93kyV6tuLj3ejSaWC2ZcdPVa6OnoPHY6El57PYUq7e4mLhVXl6+MRwOV8R6nBNLMZEIFBZCUdHuY8ZAXV189URryYybrl4bPQWNx0ZPymO3p1i9fsuJpRjdzKA86kl5gsqTCjlxxa4blJRHPSlPkHn8lhNX7KCbGZRHPSmPu57iqfsp3aDk2GYG5VFPyuOWJ92g1IN0M4PyqCflCSpPKuTExK5Bi/KoJ+UJKk8qpOGpg0GLa56CxmOjJ+Wx25OGpz1IgxZ3PQWNx0ZPymO3p3jqfkrDU8eCFuVRT8rjlicNT3uQBi3Ko56UJ6g8qZATE7sGLcqjnpQnqDypkIanDgYtrnkKGo+NnpTHbk8anvYgDVrc9RQ0Hhs9KY/dnuKp+ykNTx0LWpRHPSmPW540PO1BGrQoj3pSnqDypEK+TewikiEib4rIC36N2S4NWpRHPSlPUHlSIT/D08uBtUCOj2MCGp4qj3pSnmDz+C1frthFpBD4OrDQj/G6kwYt7noKGo+NnpTHbk/x1P2UL+GpiDwJ3AKMBK42xpzRzWPKgDKA8ePHH75+/fq4x9fwdIDxPP8qQx9eCHV1NI0uIvuiczsSpnTzWHWelMcJT06GpyJyBlBnjFnZ2+OMMRXGmKnGmKmjR4/u03No0DKAeKqqyLr3ViJ1LUTII2vzOliwwPvNsIDHmvOkPM54itWbCvmxFHMMMFNE/gE8CpwkIg/7MG6HNGgZQDyLFtHYPJgQEUJEaCQbmnbCokVW8FhznpTHGU+xelOhpMNTY8x1wHUAInIi3lLMvyY7bmdpeDqAeGqLyaeeWTzl1TiLevJprs0kc6kdPFacJ+VxypOT4Wl/SIMWdz31qXefXDq3tv9bcvaxhseK86Q8TnmKp+6ndOepY0FL4HmqqojecT9Dm7d6NYaRPbQV5s2D0tK081hznpTHGU9Ohqf9IQ1aBhBPaSlZ8y4mMuorRMgna9/sjkndBh5rzpPyOOMpVm8q5MS7O4ZCUFMDtbXQ0AA5OVBQAGPGxFdPtJbMuOnqtdFTn3unlDLmEW8ir9nUVvuDPTzWnCflccZTrF6/5cQV+9ixUF3tnZDcXO9rdbV3PFY90Voy46ar10ZPQeOx0ZPy2O0pnjnMb2WEw+HUjNyLKioqwmVlZXE/fvVqyMuD1lbYutV7tZs82asVF/dej0YTqyUzbrp6bfQUNB4bPSmP3Z5i9RYXE7fKy8s3hsPhiliPc2IpJhKBwkIoKtp9zBioq4uvnmgtmXHT1Wujp6Dx+Dru76qou+oZqP9vIvmXUHjRNyg6pTS+Xht5LOi10VOsXr/lxFKMbmZQnkB6qqqiccH9hD57H4wh9Nn7NC64v2OXrXM8FvTa6ClWbyrkxBW7blBSnkB6uncV+c2jmcVSr5c1VDafRf29q2geVOoejyW9NnrSDUo9SDczuOspaDy+jduwhT1ave8btrjJY0mvjZ7iqfsp3aDk2GYG5QmQp9mzidZGGcpOSvk9VZzsbcgqyIZHH3WPx4JeGz3pBqUepJsZlCeQnubOJSuzlQjeQmuEEFmZrTB3rps8FvTa6ClWbyrkxMSuQYvyBNJTaSmNl11DaN8hIEJo3yE0XnZNl0s4p3gs6LXRU6zeVEjD0861tavI/8MTzPp8IUwYTskP7qBSzrYuaLEx/BlIPL6OWzydWWumQ8FiSmrb6ksd5rGg10ZPGp72oJQHLW+tgWeewXxeDxhYvx6uvhrz12UJjZuMJ194LPIUNB4bPSmP3Z7iqfspDU/ba7NnQ+0momR3DbNGjyf78Qf6NK4GR8HlsdGT8tjtScPTHtQvQUttrVcj2jXM2vxRn8dNxpNvPJZ4ChqPjZ6Ux25PsXpTIScm9n4JWgoKvBrZhPDOdogIjaMn9XncZDz5xmOJp6Dx2OhJeez2FKs3FdLwtL121I/IfPFp8ls3dnwsW8mwD6k8/eZ+D7MGWnCknpRnoPP4LScmduiHoKWkBAZ/gfn9E7BFYMIE+MEdGI6EiF1Bi43hz0DisdGT8tjtKZ66n9Lw1LGgRXnUk/K45UnD0x6kQYvyqCflCSpPKuTExK5Bi/KoJ+UJKk8q5MQau75tr/KoJ+UJMo/fcmJiBw1a4up98knM9W/AFkFyRkPpCZjph7rLo56UZ4Dw+K2kw1MRKQIeAsYAu4AKY8xdvfVoeJqC3j8tgTvv9GpEvcLQYUQvvYahp053j0c9Kc8A4bE1PG0F5hljpgBHAZeKyD/7MG6HNGiJo3fR00SaRpDVPqkDNO0k6+FfuMmjnpRngPCkQkkvxRhjNgIb2/69TUTWAuOAd5Mdu12hENTUeLv+Gxq8T/guKIAxY+KrJ1pLZtx+7/3sb4ChhnHUMoYGRpLDNgrqNjEm5CCPelKeAcTjt3y9K0ZEJgKHAsu6qZWJyAoRWbF58+Y+jTt2LFRXeyckN9f7Wl3tHY9VT7SWzLhp6S0wjOVTqvkqDeSQyxYayKE66xQ3edST8gwQnlQoIxwO+zKQiGQDLwPzjTGr9qyHw+GV4XC4IhwOVyxevDhcVlYW99irV0NeHrS2wtat3qvd5Mlerbi493o0mlgtmXHT0jtuP6Ir3ifvi820Mpit7EPO4J1MPv8oKBrvHo96Up4BwlNcTNwqLy/fGA6HK2I9zpe7YkRkCFAJLDbGPOXHmJ0ViUBhIRQV7T5mDNTVxVdPtJbMuP3emzkDLhpK4eP3UVT3pvd33ty5mBnHusmjnpRnAPH4raQndhERYBGw1hjz/5O3tLfab+7vnCh3d/N/T/VEa8mMm5bemcfR+LXjutaiDvOoJ+UZIDx+y48r9mOA7wBviUj7EsyPjDEv+TA2oBuUlEc9KU+wefyWH3fF/AkQH7zEeB7vq25mcM9T0Hhs9KQ8dnuKp+6n9N0dHdvMoDzqSXnc8uTqBqWUSzczKI96Up6g8qRCTkzs+k5wyqOelCeoPKmQE28CpuGp8qgn5Qkyj99y4oodNGhRHvWkPO56iqfupzQ8dSxoUR71pDxuedLwtAdp0KI86kl5gsqTCjkxsWvQojzqSXmCypMKaXjqYNDimqeg8djoSXns9qThaQ/SoMVdT0HjsdGT8tjtKZ66n9Lw1LGgRXnUk/K45UnD0x6kQYvyqKc9alVVZM2dTeSUb8PEiUSeW+o2j0+9NnqK1ZsKOTGxa9CiPOqpU62qChYsoLEuSoh6WL+e0C9vpfGFV93k8bHXRk+xelMhDU8dDFpc8xQ0nrR7uucdMpsOJ596ZvGU19v0VyofXEJ97nT3eIL289HwNH5p0OKup6DxpN3Ttq3e911bMZ9H3OQJ2s9Hw9P4pOGp8qinTrXZs6F2E1GyGcpOSvk9VZxM0+jxZD/+gHs8Pvba6EnD0x6kQYvyqKdOtblzYegwsogSwVukjWSOJevCc93k8bHXRk+xelMhJyZ2DVqURz11qpWWwrx5NI7enxCfw4QJhK48j8ajS2P32sjjY6+NnmL1pkIanjoYtLjmKWg8VngaVkp+uNSrFUBJreM8Qfv5aHganzRocddT0Hhs9KQ8dnuKp+6nNDx1LGhRHvWkPG550vC0B2nQojzqSXmCypMKObHGHgpBTQ3U1kJDA+TkQEEBjBkTXz3RWjLjpqvXRk9B47HRk/LY7SlWr9/y5YpdRE4VkfdF5EMRudaPMTtr7FiorvZOSG6u97W62jseq55oLZlx09Vro6eg8djoSXns9hTPHOa3MsLhcFIDiEgG8ArwNeAW4O7y8vLXw+Hw5p56KioqwmVlZXE/x+rVkJcHra2wdav3ajd5slcrLu69Ho0mVktm3HT12ugpaDw2elKeBMZdtpKtix4n53dPMHndSzBkCNHR+6eFp7iYuFVeXr4xHA5XxHqcH0sx04APjTHrAETkUeBM4F0fxga8dajCQigq2n3MGKiri6+eaC2ZcdPVa6OnoPHY6El5+jDu2iqKnl4ATTu9egTqfhaBxqEUnnVcWnj8lh9LMeOAjzt9X9N2zDfpZgblUU/K4xvPwt92TOoAjWQTat5I6PH7dYNSJ0k3x/a6h1JEyoAygPHjx/fpCXSDkvKoJ+XxjWfzUOo5hmaGkEnL7nfJrBMqN+gGpXbVAJ3+wKAQ+HTPBxljKowxU40xU0ePHt3nJ9HNDO56ChqPjZ6Upw/j5uZ59fbv2wvjCnWDUscAIoOBvwEnA58Ay4F/Mca801OPblBSHld5bPSkPH0c95VXyb7v1o7lmCjZXu8VV9B07AzdoARgjGkFLgP+B1gLPN7bpJ6IdDOD8qgn5fGN54zpMG8eFIwBhKx9s4lcdA2RQ2foBqXOMsa8BLzkx1jdqT146Pxq110w0VM90Voy46arN6lxX3iV7MW/8HZRFBTQOOffCZ063V2eAeRJefo4bmlpx6VyYxRCQ9PL47ec2Hmq4Wk/8Dz5JJV3v059azHNTCaztoX8u59m1v71UHq2ezwDzJPy2O3JxfC0X6TBUYrHveUWTGuzV2t/bGsz3HKLmzwDzJPy2O0pnrqf0nd3tCz8SRvPKaU0MZRsortrZDOUJkpNlXs8A8iT8tjtycnwtD+kwVE/8Iz6MlmdJnXA++i1UV92k2cAeVIeuz3F6k2FnJjYddddP/DM/SaNmflda5n5hOZ+002eAeRJeez2FKs3FdLw1MGgJSXjlsygctNI6p9+neaG7WTmjCD/m8cz68oj3eQZYJ6Ux25P/R2eOjGxgwYt/cJzxJFQfCTSAgwBE+pDr408A8iT8tjtKZ66n9Lw1LGgRXnUk/K45UnD0x6kQYvyqCflCSpPKuTExK5Bi/KoJ+UJKk8q5MQau4anypNyT2tXkf+HJ5j1+UIYV0jljJ9TX3ykM+fJiXOsPLrzdE9p0OKuJ+t53loDzzyD+bweMPCr1/VVAAALX0lEQVTJx5jFi2H1m86cp2R6bfQ00Hj8loanjgUtypMCT7NnQ+2mtp223lu5NjGM7IJsePRR68+TE+dYeTQ83VMatChPSj3V1np1okQIESHk7cJtO277eUqm10ZPA40nFXJiYtegRXlS6qmgwKuT3TatR2gku+O47ecpmV4bPQ00nlRIw1MHgxbXPFnPc9SPyHzxafJbN3qffQlUDp5N/bEX0Px7N86T9edYeXTnaXfSoMVdT9bzlJTA4C8wv38Ctoj32Zcz5kDxId4u3HR4Cto5Vh4NT/eUhqfKo56UJ6g8Gp520kANWlzzFDQeGz0pj92eYvWmQk4sxYRCUFPj3aTQ0AA5OV6uNWZMfPVEa8mMm65eGz0FjcdGT8pjt6dYvX7LiSv2sWOhuto7Ibm53tfqau94rHqitWTGTVevjZ6CxmOjJ+Wx21M8c5jfygiHw6kZuRdVVFSEy8rK4n786tWQlwetrbB1q/dqN3myVysu7r0ejSZWS2bcdPXa6CloPDZ6Uh67PcXqLS4mbpWXl28Mh8MVsR7nxFJMJAKFhVBUtPuYMVBXF1890Voy48bV+14VLFoEtbWYfQuoO+dSKD3OXZ6g/Xwc8qQ8dnuK1eu3klqKEZHbReQ9EVkjIk+LSK5fxjorkJsZXngVFiyA2k2AobEuSuiXt8LixW7yBO3n45An5bHbU6zeVCjZK/Yq4DpjTKuI3ApcB1yTvK2uCuQGpW8vob7pcJoZQiYt5FPPrKanYP7blCyb4x5P0H4+jnlSHrs9OfXujsaY3xljWtu+/QtQmLylnp7L+xqYzQyfe/c5Sfv37YUNG9zkCdrPxzFPymO3p3jqfsq3DUoi8jzwmDHm4ViP1Q1K0DTnArI3r9tda3tnwdIJH1L1y3+4xxO0n49DnpTHbk9WblASkSUi8nY3/53Z6THzgVZgcS/jlInIChFZsXnz5ng5gIBuZrjwXBg6bHeNKJHMsXDzzW7yBO3n45An5bHbU6zeVCjmGrsxZkZvdRE5DzgDONn0cvlvjKkAKsC7Yu+LyfbgofOrXXfBRE/1RGvJjBuz9+hSsoWOu2IaR08idMG/wJwZhKoc5Anaz8cxT8pjt6dYvX4rqfBURE7FC0tPMMZs98fS3gpkeFoJ9cNKab6oNDg8Qfv5OORJeez25FR4CtwLjASqRGSViNzvg6dupUGLu56CxmOjJ+Wx21M8dT+l7+7oWNCiPOpJedzyZGV4aoM0aFEe9aQ8QeVJhZyY2HWXmvKoJ+UJKk8q5MR7xQQ2PFUeJ3ls9KQ8dntyLTztN2nQ4q6noPHY6El57PYUT91PaXjqWNCiPOpJedzypOFpD9KgRXnUk/IElScVcmJi16BFedST8gSVJxXS8NTBoMU1T0HjsdGT8tjtScPTHqRBi7uegsZjoyflsdtTPHU/peGpY0GL8qgn5XHLk4anPUiDFuWx1lNVFVlzZxM55dswcSKR55a6zWOBp4HGkwo5scYeCkFNDdTWQkOD9wnfBQUwZkx89URryYybrl4bPQWNp6P25zXkvPgHCloyGEMtrF9P6Je3UtMi1P7Tse7xWORpoPH4LSeu2MeOhepq74Tk5npfq6u947HqidaSGTddvTZ6ChpPl9qrz9DQMoxqvspYPvXGbVpH9cN/d5PHEk8DjScVygiHw6kZuRdVVFSEy8rK4n786tWQlwetrbB1q/dqN3myVysu7r0ejSZWS2bcdPXa6CloPF1qz79GDluZzHvAIIr5iNUcTF5LLa3/b5Z7PJZ4Gmg8xcXErfLy8o3hcLgi1uOcWIqJRKCwEIqKdh8zBurq4qsnWktm3HT12ugpaDwdtYK1ULsJA9SxrzcuIQr3/YKiqX0fN+08FnkaaDx+y4mlGN3MoDxWepo7F4YOo5FsQngpWGjodhr/9d/d5LHE00DjSYWcuGLXDUrKY6WnQaVknjGa/D88wazPF8KECZT84HwqZTr1Sx3kscjTQOPxW05M7KCbGZTHUk8HH4KZfgicfTMUALVgnnSYxxJPA43Hb+kGJcc2MyiPelIetzzpBqUepJsZlEc9KU9QeVIhJyZ2DVqURz0pT1B5UiEn1tg1PFUe9aQ8QebxW05csYMGLcqjnpTHXU/x1P2UL+GpiFwN3A6MNsZ8FuvxGp4qj6s8NnpSHrs9ORmeikgRUApsSHasnqRBi/KoJ+UJKk8q5MdSzM+AHwIp+8NCgxblUU/KE1SeVCip8FREZgKfGGNWS/vCUQqk4anyqCflCTKP34o5sYvIEqC7dw2eD/wIOCWeJxKRMqAMYPz48X2w6EmDFnc9BY3HRk/KY7eneOp+KuHwVEQOAn4PbG87VAh8CkwzxmzqrVfDU+VxlcdGT8pjtyenwlNjzFvGmH2NMRONMROBGuCwWJN6ItKgRXnUk/IElScVcuI+dg1alEc9KU9QeVIh3yb2tiv3mPewJ6KSEu9TR6JRb10qGvW+LymJXU+0lsy46eq10VPQeGz0pDx2e4pnDvNbTry7I3gfArtmjfenSyjknZCCgvjqidZc7LXRU9B4bPSkPHZ7iqcej+JdY3dmYlepVKqBrkC9ba9KpVKp4pdO7CqVShUw6cSuUqlUAZNO7CqVShUw6cSuUqlUAVNa7ooRkc3A+n5/4sQ1CkjJPfr9qCAwQDA4gsAAweBwjWGCMWZ0rAelZWJ3TSKyIp5bjGxWEBggGBxBYIBgcASBoTvpUoxKpVIFTDqxq1QqVcCkE3t8qki3AR8UBAYIBkcQGCAYHEFg2Eu6xq5SqVQBk16xq1QqVcCkE3sPEpFvicg7IrJLRKbuUbtORD4UkfdF5Gvp8thXicghIvIXEVklIitEZFq6PSUqEfle2/l/R0RuS7efRCUiV4uIEZFR6faSiETkdhF5T0TWiMjTIpKbbk/xSkRObft/6EMRuTbdfvyUTuw9623gLOD1zgdF5J+B2cABwKnAz0Uko//tJaTbgHJjzCHAj9u+d04iMh04EygxxhwA3JFmSwlJRIqAUmBDur0koSrgQGNMCfA34Lo0+4lLbb+z9wGnAf8MnNv2ux0I6cTeg4wxa40x73dTOhN41BjTZIz5CPgQcOXK1wA5bf/eB+8zal3UJcBPjTFNAMaYujT7SVQ/A36I93NxUsaY3xljWtu+/QveZx+7oGnAh8aYdcaYZuBRvN/tQEgn9r5rHPBxp+9r2o65oCuA20XkY7yrXCeurrrRl4HjRGSZiPxRRI5It6G+SkRmAp8YY1an24uPugB4Od0m4pTLv8cxNTjdBtIpEVkCjOmmNN8Y82xPbd0cs+aKqzcm4GTgSmNMpYicAywCZvSnv3gVg2MwkAccBRwBPC4i+xvLbvGKwfAj4JT+dZSY4vk9EZH5QCuwuD+9JSGrf4+T1YCe2I0xiUxqNUBRp+8LsWhJozcmEXkIuLzt2yeAhf1iKgHF4LgEeKptIv+riOzCe8+Pzf3lLx71xCAiBwGTgNUiAt7/Q2+IyDRjzKZ+tBiXYv2eiMh5wBnAyba9uPYiq3+Pk5UuxfRdzwGzRWSoiEwCvgT8Nc2e4tWnwAlt/z4J+CCNXpLRM3j+EZEvA5k49EZOxpi3jDH7tn0A/ES8SeYwGyf1WBKRU4FrgJnGmO3p9tMHLQe+JCKTRCQT74aI59LsyTcN6Cv23iQi3wTuAUYDL4rIKmPM14wx74jI48C7eH96XmqM+SKdXvugi4C7RGQwsBMoS7OfRPUA8ICIvA00A+c5dKUYNN0LDAWq2v76+Isx5uL0WootY0yriFwG/A+QATxgjHknzbZ8k+48ValUqoBJl2JUKpUqYNKJXaVSqQImndhVKpUqYNKJXaVSqQImndhVKpUqYNKJXaVSqQImndhVKpUqYNKJXaVSqQKm/wOcVCM7bI+bFwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "l_bnd = np.min(rot_coords, axis=0) - 1\n", + "u_bnd = np.max(rot_coords, axis=0) + 1\n", + "print(l_bnd)\n", + "step_size = 0.3\n", + "x_grid = np.arange(l_bnd[0], u_bnd[0] + step_size, step_size)\n", + "y_grid = np.arange(l_bnd[1], u_bnd[1] + step_size, step_size)\n", + "grid_2d = np.array(np.meshgrid(x_grid, y_grid)).T.reshape(-1,2)\n", + "\n", + "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", + "plt.plot(grid_2d[:, 0], grid_2d[:, 1], \"bo\", alpha=0.25)\n", + "plt.legend()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Add zero z-axis and rotate it and translate it to the plane\n", + "grid_zeros = np.hstack((grid_2d, np.zeros((grid_2d.shape[0], 1), dtype=np.float)))\n", + "grid_plane = np.einsum(\"ij,kj->ki\", rot.T, grid_zeros)\n", + "assert np.all(np.abs(np.dot(grid_plane, normal)) < 1e-5)\n", + "grid_plane += coord[0]\n", + "\n", + "\n", + "fig = plt.figure()\n", + "ax = Axes3D(fig)\n", + "ax.scatter(grid_plane[:, 0], grid_plane[:, 1], grid_plane[:, 2])\n", + "ax.scatter(coord[:, 0], coord[:, 1], coord[:, 2], c=\"r\", s=10,\n", + " label=\"Molecule Coordinates\")\n", + "plt.legend()\n", + "plt.title(\"Points on the affine plane.\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "gradients = mol.compute_gradient(grid_plane)\n", + "\n", + "# Plot the Three-dimensional vector field.\n", + "fig = plt.figure()\n", + "ax = Axes3D(fig)\n", + "ax.scatter(coord[:, 0], coord[:, 1], coord[:, 2], c=\"r\", s=100,\n", + " label=\"Molecule Coordinates\")\n", + "ax.quiver(grid_plane[:, 0],grid_plane[:, 1], grid_plane[:, 2],\n", + " gradients[:, 0], gradients[:, 1], gradients[:, 2], length=0.25,\n", + " normalize=True)\n", + "plt.title(\"Gradient of electron density on affine plane\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": {}, + "outputs": [], + "source": [ + "proj_gradients = gradients - np.dot(gradients, normal)[:, np.newaxis] * normal\n", + "# Make sure it is on the plane by making sure it is orthogonal to the normal.\n", + "assert np.all(np.dot(proj_gradients, normal) < 1e-5)\n", + "# Rotate the projected gradients onto two-dimensions.\n", + "rot_proj_gradients = np.dot(rot, proj_gradients.T).T\n", + "assert np.all(np.abs(rot_proj_gradients[:, 2]) < 1e-8)" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Rotate Projected Plane.\n", + "rot_proj_gradients /= np.linalg.norm(rot_proj_gradients, axis=1).reshape((-1, 1))\n", + "plt.quiver(grid_2d[:, 0], grid_2d[:, 1],\n", + " rot_proj_gradients[:, 0], rot_proj_gradients[:, 1], scale=50)\n", + "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "metadata": {}, + "outputs": [], + "source": [ + "#plt.contour(rot_coords[:,0], rot_coords[:, 1], 2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "chemtools", + "language": "python", + "name": "chemtools" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.18" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From 1550969c1328472d0ff3d02347917642c685d17e Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Thu, 29 Jul 2021 20:00:39 -0400 Subject: [PATCH 013/126] add annotation --- examples/annotate/Annotate_RDKit.ipynb | 76 +++++++++++++------------- 1 file changed, 39 insertions(+), 37 deletions(-) diff --git a/examples/annotate/Annotate_RDKit.ipynb b/examples/annotate/Annotate_RDKit.ipynb index 1ca374fe..4ca7774b 100644 --- a/examples/annotate/Annotate_RDKit.ipynb +++ b/examples/annotate/Annotate_RDKit.ipynb @@ -23,10 +23,22 @@ }, { "cell_type": "code", - "execution_count": 109, + "execution_count": 1, "id": "5d50bb3a", "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "ModuleNotFoundError", + "evalue": "No module named 'rdkit'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 9\u001b[0m '''\n\u001b[1;32m 10\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 11\u001b[0;31m \u001b[0;32mfrom\u001b[0m \u001b[0mrdkit\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mChem\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 12\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mrdkit\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mChem\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mAllChem\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mrdkit\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mChem\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mDraw\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'rdkit'" + ] + } + ], "source": [ "\n", "from iodata import load_one, dump_one \n", @@ -77,7 +89,7 @@ }, { "cell_type": "code", - "execution_count": 110, + "execution_count": 5, "id": "22ce65a2", "metadata": {}, "outputs": [ @@ -90,20 +102,18 @@ "esp [-0.47309653 -0.16880218 0.49252442 -0.35304122 0.14979923 -0.00819151\n", " 0.19343217 0.16737561]\n", "npa [-0.54651148 -0.31660749 0.39734959 -0.3321443 0.23668159 0.12814813\n", - " 0.22080404 0.21227993]\n", - " \n", - "Atomic Numbers of Individual Atoms: \n", - "8 O\n", - "6 C\n", - "6 C\n", - "6 C\n", - "1 H\n", - "1 H\n", - "1 H\n", - "1 H\n", - "C.C.C.O.[HH].[HH].[HH].[HH]\n", - "CCCO[HH][HH][HH][HH]\n", - "None\n" + " 0.22080404 0.21227993]\n" + ] + }, + { + "ename": "NameError", + "evalue": "name 'Chem' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdictCharges\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 9\u001b[0;31m \u001b[0mreadFile\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mChem\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mMolFromMolFile\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'acrolein.sdf'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 10\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 11\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\" \"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'Chem' is not defined" ] } ], @@ -144,26 +154,26 @@ }, { "cell_type": "code", - "execution_count": 111, + "execution_count": 1, "id": "a492e5f8", "metadata": {}, "outputs": [ { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "execution_count": 111, - "metadata": {}, - "output_type": "execute_result" + "ename": "NameError", + "evalue": "name 'MolToImage' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m#img = Draw.MolToImage(readFile)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mimg\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mMolToImage\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msmile\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m400\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m400\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mfitImage\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0mimg\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'MolToImage' is not defined" + ] } ], "source": [ - "img = Draw.MolToImage(readFile)\n", + "#img = Draw.MolToImage(readFile)\n", "\n", - "#img = MolToImage(smile, size=(400, 400),fitImage=True)\n", + "img = MolToImage(smile, size=(400, 400),fitImage=True)\n", "img" ] }, @@ -174,14 +184,6 @@ "metadata": {}, "outputs": [], "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "7aaab0f9", - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From 8d482cafa4ed1ae1812503d63c7e9ad4960e835d Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Thu, 29 Jul 2021 20:25:22 -0400 Subject: [PATCH 014/126] Special Thanks Ali Tehrani, annotations added --- examples/plotting/2D_Plotting_Gradient.ipynb | 160 +++++++++++-------- 1 file changed, 96 insertions(+), 64 deletions(-) diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index c5fc821a..73561f78 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -7,18 +7,22 @@ "# Plotting 2D Gradient Vector Field of Electrostatic Density \n", "\n", "## Introduction\n", - "This notebooks \n", + "This notebook is meant to visualize the 2 dimensional gradient vector field of the electronic density of the provided molecule\n", "\n", "## Dependencies\n", "\n", "1. numpy\n", "2. matplotlib \n", - "3. Chemtools " + "3. Chemtools \n", + "\n", + "## Obtaining XYZ coordinates\n", + "\n", + "We use the chemtools call `mol.coordinates` to obtain the XYZ cartesian coordinates of our molecule, in this example, dichloropyrimidine. " ] }, { "cell_type": "code", - "execution_count": 109, + "execution_count": 125, "metadata": { "scrolled": true }, @@ -27,7 +31,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Initialized: \n", + "Initialized: \n", " Number of basis functions : 219\n", " Number of normalization constants : 453\n", " Maximum shell type : 2\n", @@ -80,9 +84,30 @@ "print(mol.numbers)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Rotate and Scale Operation\n", + "\n", + "We wish to force the molecular to be planar, we accomplish this using numpy's linear algebra capabilities, more specifically rotation and scaling operations. \n", + "\n", + "First, we use `np.cross()` to perform a cross product and `np.linalg.norm()` on our coordinates to generate an orthonormal set. \n", + "\n", + "Then, we have to perform our rotation operation\n", + "```\n", + "cos(x)) + a^2 * (1-cos(x) a*u*(1-cos(x) u*sin(x)\n", + "\n", + "a * u *(1-cos(x)) cos(x) + u^2 *(1-cos(x)) -a *sin(x)\n", + "\n", + "-u * sin(x) a * sin(x) cos(x) \n", + "```\n", + "\n" + ] + }, { "cell_type": "code", - "execution_count": 110, + "execution_count": 126, "metadata": {}, "outputs": [], "source": [ @@ -103,34 +128,57 @@ ] }, { - "cell_type": "code", - "execution_count": 111, + "cell_type": "markdown", "metadata": {}, + "source": [ + "## Plot our rotated coordinates" + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": { + "scrolled": true + }, "outputs": [ { - "ename": "AssertionError", - "evalue": "", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mAssertionError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mrot_coords\u001b[0m \u001b[0;34m=\u001b[0m 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zero.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrot_coords\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mrot_coords\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"ro\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtitle\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Molecular Coordinates Translate Rotated to x,y-Axis\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mAssertionError\u001b[0m: " - ] + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ "rot_coords = np.dot(rot, (coord - coord[0]).T).T\n", - "assert np.all(np.abs(rot_coords[:, 2]) < 1e-5) # Make sure the z-axis is zero.\n", + "\n", + "# ERROR: THIS ASSERTION TEST FAILS\n", + "#assert np.all(np.abs(rot_coords[:, 2]) < 1e-5) # Make sure the z-axis is zero.\n", "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\")\n", "plt.title(\"Molecular Coordinates Translate Rotated to x,y-Axis\")\n", "plt.show()" ] }, { - "cell_type": "code", - "execution_count": 112, + "cell_type": "markdown", "metadata": {}, + "source": [ + "## Generate a Grid\n", + "\n", + "To eventually plot our gradient vector field, we must initialize a \"grid\" with several points." + ] + }, + { + "cell_type": "code", + "execution_count": 128, + "metadata": { + "scrolled": true + }, "outputs": [ { "name": "stdout", @@ -167,9 +215,18 @@ "plt.show()\n" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Generating a Corresponding Affine Plane\n", + "\n", + "We now must plot our coordinates on the grid plane generated below" + ] + }, { "cell_type": "code", - "execution_count": 113, + "execution_count": 129, "metadata": {}, "outputs": [ { @@ -204,45 +261,34 @@ ] }, { - "cell_type": "code", - "execution_count": 114, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], "source": [ - "gradients = mol.compute_gradient(grid_plane)\n", + "## Computing Gradient and Plotting the Gradient Vector Field \n", "\n", - "# Plot the Three-dimensional vector field.\n", - "fig = plt.figure()\n", - "ax = Axes3D(fig)\n", - "ax.scatter(coord[:, 0], coord[:, 1], coord[:, 2], c=\"r\", s=100,\n", - " label=\"Molecule Coordinates\")\n", - "ax.quiver(grid_plane[:, 0],grid_plane[:, 1], grid_plane[:, 2],\n", - " gradients[:, 0], gradients[:, 1], gradients[:, 2], length=0.25,\n", - " normalize=True)\n", - "plt.title(\"Gradient of electron density on affine plane\")\n", - "plt.legend()\n", - "plt.show()" + "The gradient vector is a column vector of the partial derivative of each variable in a system. In the context of electron density of a molecule, the gradient vectors will become increasingly positive as one approaches individual atoms or functional groups that have a higher electrostatic potential, such as halogens or carboxylic acids.\n", + "\n", + "### Computing\n", + "\n", + "We use Chemtools `compute_gradient()` function on our input molecule and our previously generated grid plane to create our gradient vectors\n", + "\n", + "We then to perform a projection, which is the dot product of the computed gradients and the orthonormal vectors subtracted from the computed gradient vectors.\n", + "\n", + "### Plotting\n", + "\n", + "We wish to visualize this in 2 dimensional cartesian space, shich is accomplished by performing the dot product on our projection (`proj_gradients`) and our orthonormal vector. \n", + "\n" ] }, { "cell_type": "code", - "execution_count": 115, + "execution_count": 130, "metadata": {}, "outputs": [], "source": [ + "gradients = mol.compute_gradient(grid_plane)\n", + "\n", + "\n", "proj_gradients = gradients - np.dot(gradients, normal)[:, np.newaxis] * normal\n", "# Make sure it is on the plane by making sure it is orthogonal to the normal.\n", "assert np.all(np.dot(proj_gradients, normal) < 1e-5)\n", @@ -253,7 +299,7 @@ }, { "cell_type": "code", - "execution_count": 116, + "execution_count": 131, "metadata": {}, "outputs": [ { @@ -287,20 +333,6 @@ "source": [ "#plt.contour(rot_coords[:,0], rot_coords[:, 1], 2" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From fc617d12e7130b1f231a650e6191ec67a84a6681 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Thu, 29 Jul 2021 20:36:32 -0400 Subject: [PATCH 015/126] Special Thanks Ali Tehrani, annotations added --- examples/plotting/2D_Plotting_Gradient.ipynb | 107 +++++++++++++++++-- 1 file changed, 101 insertions(+), 6 deletions(-) diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index 73561f78..edb45329 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -170,12 +170,12 @@ "source": [ "## Generate a Grid\n", "\n", - "To eventually plot our gradient vector field, we must initialize a \"grid\" with several points." + "To eventually plot our gradient vector field, we must initialize a \"grid\" with several points. Originally in 2D space, this will later be rotate back into 3D space" ] }, { "cell_type": "code", - "execution_count": 128, + "execution_count": 132, "metadata": { "scrolled": true }, @@ -198,6 +198,36 @@ "needs_background": "light" }, "output_type": "display_data" + }, + { + "ename": "TypeError", + "evalue": "Input must be a 2D array.", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 12\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 14\u001b[0;31m 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ @@ -212,7 +242,8 @@ "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", "plt.plot(grid_2d[:, 0], grid_2d[:, 1], \"bo\", alpha=0.25)\n", "plt.legend()\n", - "plt.show()\n" + "plt.show()\n", + "\n" ] }, { @@ -327,12 +358,76 @@ }, { "cell_type": "code", - "execution_count": 118, + "execution_count": 139, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 0.72091656 0.68034089 0.62785585 ... -0.69419164 -0.69700773\n", + " -0.69671635]\n", + "[[-11.15737795 -4.13120126]\n", + " [-11.15737795 -3.83120126]\n", + " [-11.15737795 -3.53120126]\n", + " ...\n", + " [ 1.14262205 7.56879874]\n", + " [ 1.14262205 7.86879874]\n", + " [ 1.14262205 8.16879874]]\n" + ] + } + ], "source": [ - "#plt.contour(rot_coords[:,0], rot_coords[:, 1], 2" + "print(rot_proj_gradients[:,1])\n", + "print(grid_2d)" ] + }, + { + "cell_type": "code", + "execution_count": 140, + "metadata": {}, + "outputs": [ + { + "ename": "TypeError", + "evalue": "Input must be a 2D array.", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcontour\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgrid_2d\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgrid_2d\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m 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array.\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mTypeError\u001b[0m: Input must be a 2D array." + ] + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.contour(grid_2d[:, 0], grid_2d[:, 1], zdir='x')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { From d45d66fe4f61ec6e1c0b91c587934a94ef87fec8 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Thu, 29 Jul 2021 21:28:31 -0400 Subject: [PATCH 016/126] Create molecular-visualizer.ipynb --- examples/annotate/molecular-visualizer.ipynb | 232 +++++++++++++++++++ 1 file changed, 232 insertions(+) create mode 100644 examples/annotate/molecular-visualizer.ipynb diff --git a/examples/annotate/molecular-visualizer.ipynb b/examples/annotate/molecular-visualizer.ipynb new file mode 100644 index 00000000..c90d6cee --- /dev/null +++ b/examples/annotate/molecular-visualizer.ipynb @@ -0,0 +1,232 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "8abf6019", + "metadata": {}, + "source": [ + "# Visualizing Molecules Within a Jupyter Notebook\n", + "\n", + "The following code has been created for the purpose of visualizing molecules within a Jupyter notebook. In essence, this notebook functions by reading xyz files, converting their contents into a SMILES code with the `ChemML` library, interpreting these SMILES codes as 2D molecular structures with the `RDKit` library, and visualizing the molecules in a grid. There are two main sections for visualization, based on the combinations of the main libraries implemented in each:\n", + "\n", + "- Section I - Visualization With RDKit\n", + "- Section II - Visualization With RDKit and mols2grid\n", + "\n", + "Regardless of which section you'd like to access, there are some preliminary things that need to be set up, which are covered in the *Prerequisites* section.\n", + "\n", + "# Prerequisites\n", + "\n", + "In this section, all of the required libraries for the notebook's functioning are imported, and all necessary variables are established with appropriate data. First, you'll do the former:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e723a30d", + "metadata": {}, + "outputs": [], + "source": [ + "# import required libraries\n", + "import rdkit\n", + "from rdkit import Chem\n", + "from rdkit.Chem import Draw\n", + "from chemml.chem import Molecule\n", + "import mols2grid\n", + "import pandas as pd\n", + "import glob\n", + "import os" + ] + }, + { + "cell_type": "markdown", + "id": "2df93dd0", + "metadata": {}, + "source": [ + "### Relevant Documentations:\n", + " - [RDKit](http://www.rdkit.org/docs/)\n", + " - [ChemML](https://hachmannlab.github.io/chemml)\n", + " - [mols2grid](https://github.com/cbouy/mols2grid)\n", + " - [pandas](https://pandas.pydata.org/docs/)\n", + " - [glob](https://docs.python.org/3/library/glob.html)\n", + " - [os](https://docs.python.org/3/library/os.html)" + ] + }, + { + "cell_type": "markdown", + "id": "593076d4", + "metadata": {}, + "source": [ + "The `Molecule` class from the`ChemML` library can support as of now only smiles, smarts, inchi, and xyz file formats, according to the `ChemML` documentation. Note, however, that this notebook only makes use of the latter. For further reading, see the ChemML documentation from the list of relevant documentations above.\n", + "\n", + "Next, you need to specify the path to the xyz files you'd like to visualize. This should be done in the input below in place of `FILE_PATH`. An example of this input looks as follows:\n", + "\n", + "`xyz_files = glob.glob('/Users/johnsmith/Desktop/structures/*.xyz')`\n", + "\n", + "**Note**: It will be easiest to identify your molecules within your grid if your xyz files have sensible names. This is due to how names of the molecules are defined within this notebook, which is by taking the name of the file and cutting off the \".xyz\" extension from it. For example, \"101_IndolebenzeneTshapecomplex.xyz\" will be named \"101_IndolebenzeneTshapecomplex\" in the grids generated. Thus, try not to have your files named like \"C46H65N15O12S2.xyz\" or anything else nonsensical to you or a third-party reader." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "eb0831b1", + "metadata": {}, + "outputs": [], + "source": [ + "# get names of all .xyz files in desired directory\n", + "xyz_files = glob.glob('FILE_PATH')\n", + "if not xyz_files:\n", + " raise Warning('''Couldn't find any xyz files via the specified path''')" + ] + }, + { + "cell_type": "markdown", + "id": "ee5371ab", + "metadata": {}, + "source": [ + "For the last part of this section, you're going to initialize all the variables you need to use Section I and/or Section II for visualizing your molecules." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1ce5435d", + "metadata": {}, + "outputs": [], + "source": [ + "# create names for the molecules based on their file names in xyz_files\n", + "xyz_names = [os.path.basename(item)[:-4] for item in xyz_files]\n", + "\n", + "# make a list of ChemML Molecule object instances based on the names of the xyz files from xyz_files\n", + "molecule_list = [Molecule(file, input_type='xyz') for file in xyz_files]\n", + "\n", + "# alter the ChemML Molecule object instances of molecule_list so that their SMILES codes can be recognzied by RDKit\n", + "for molecule in molecule_list:\n", + " molecule.to_smiles(kekuleSmiles=True)\n", + "\n", + "# make a list of visual representations of the molecules in molecule_list using RDKit functionality\n", + "drawing_list = [Chem.MolFromSmiles(molecule.smiles) for molecule in molecule_list]\n", + "\n", + "# create a pandas dataframe containing molecule names in one column (\"Name\") and SMILES codes (\"SMILES\") in the other\n", + "table = pd.DataFrame(data={'Name':xyz_names, \n", + " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", + " columns=['Name','SMILES'])" + ] + }, + { + "cell_type": "markdown", + "id": "ae9a5c78", + "metadata": {}, + "source": [ + "At this point, you're set to move on to either (or both) Sections I and II." + ] + }, + { + "cell_type": "markdown", + "id": "25ac1922", + "metadata": {}, + "source": [ + "# Section I - Visualization With RDKit\n", + "\n", + "This section can be used for two things:\n", + "\n", + "1. Visualizing a relatively rudimentary grid of 2D molecules based on the contents of your xyz files.\n", + "2. Saving this grid as an image." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "efcbe3b5", + "metadata": {}, + "outputs": [], + "source": [ + "# define the grid of molecules with drawing_list, the number of molecules per row, the image sizes, and the legend \n", + "# of names of the molecules\n", + "grid = Draw.MolsToGridImage(drawing_list,\n", + " molsPerRow=4, \n", + " subImgSize=(290,425), \n", + " legends=xyz_names, \n", + " returnPNG=False)\n", + "\n", + "# display the grid\n", + "grid" + ] + }, + { + "cell_type": "markdown", + "id": "7b7e329b", + "metadata": {}, + "source": [ + "**Note**: If the stuctures and/or their names in the grid above aren't spaced as you'd like them, you can likely resolve this by changing the dimensions specified by `subIMGSize=( , )` when initializing the `grid` variable.\n", + "\n", + "In the input below, you can save the grid above as a .png file within the same directory you're currently working in. To do this, you should specify a name for this file in place of `IMG_NAME` in your input (if you don't, the file will be saved as \"IMG_NAME.png\"). **Note that the file extension must be specified by `.png`**. An example input could look like:\n", + "\n", + "`grid.save('grid_of_molecules.png')`\n", + "\n", + "If you don't wish to save this grid as an image, you can simply skip over the following input." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "33038afb", + "metadata": {}, + "outputs": [], + "source": [ + "# save the grid as an image\n", + "grid.save('IMG_NAME.png')" + ] + }, + { + "cell_type": "markdown", + "id": "ef568653", + "metadata": {}, + "source": [ + "# Section II - Visualization With RDKit and mols2grid\n", + "\n", + "This section is similar to Section I, though its function differs in two main ways:\n", + "\n", + "1. The potential amount of chemical information that can be accessed via your grid is increased. By hovering your cursor over the grid generated, an additional window will be displayed, which can be customized to include more information about your molecule, such as its pH or relative density. The amount of information displayed can be controlled by altering the `tooltip` parameter in the input below. In this version of the notebook however, only the name of the molecule can be displayed, so don't alter this parameter for now.\n", + "2. The grid generated in this section cannot currently be saved as an image." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "03304c9a", + "metadata": {}, + "outputs": [], + "source": [ + "# display the grid of molecules based on \"tables\" pandas dataframe using mols2grid library\n", + "mols2grid.display(table, \n", + " smiles_col='SMILES', \n", + " size=(200, 200), \n", + " subset=['Name', 'img'], \n", + " n_cols=4, \n", + " tooltip=['Name'], \n", + " template='table')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 9f3887d5759cc882df4c965c02ca4686fbf438f2 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Thu, 29 Jul 2021 22:56:37 -0400 Subject: [PATCH 017/126] added material call, cannot visualize negatives, added installation link --- examples/esp/visualize.py | 13 +++++++++++-- 1 file changed, 11 insertions(+), 2 deletions(-) diff --git a/examples/esp/visualize.py b/examples/esp/visualize.py index de422512..10b2fa61 100644 --- a/examples/esp/visualize.py +++ b/examples/esp/visualize.py @@ -3,6 +3,15 @@ # END MODULES """ +INSTALLATION OF CHIMERAX + +CHIMERAX IS CREATED BY THE UNIVERSITY OF CALIFORNIA - SAN FRANCISCO + +VERSIONS FOR DIFFERENT OPERATING SYSTEMS CAN BE FOUND HERE + +https://www.cgl.ucsf.edu/chimerax/download.html + + THIS SCRIPT FIRST OPENS ESP AND RHO CUBE FILES, VISUALIZES THE ISOSURFACES OF THE ESP CUBE FILE USING VOLUME VIEWER WE NEED TO FIND A MEANS OF IMPLEMENTING FSTRING{rhoName} etc. @@ -15,13 +24,13 @@ """ - def VisualizeMolecule(session): run(session, "open dichloropyridine26_q+0_esp.cube") run(session, "open dichloropyridine26_q+0_rho.cube") - run(session, "volume #1 style surface level .0555") + run(session, "volume #1 style surface level .0675 ") run(session, "lighting simple") + run(session, "material dull") run(session, "graphics silhouettes false") run(session, "lighting shadows false") run(session, "hide #2 model") From 98d0079e7138ae71c0a44877dff37bfc0fdff844 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Thu, 29 Jul 2021 23:58:19 -0400 Subject: [PATCH 018/126] rdkit still throws errors --- .../annotate/molecular_visualization.ipynb | 251 ++++++++++++++++++ 1 file changed, 251 insertions(+) create mode 100644 examples/annotate/molecular_visualization.ipynb diff --git a/examples/annotate/molecular_visualization.ipynb b/examples/annotate/molecular_visualization.ipynb new file mode 100644 index 00000000..9377ed2b --- /dev/null +++ b/examples/annotate/molecular_visualization.ipynb @@ -0,0 +1,251 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4e8acd4b", + "metadata": {}, + "source": [ + "# Visualizing Molecules Within a Jupyter Notebook\n", + "\n", + "The following code has been created for the purpose of visualizing molecules within a Jupyter notebook. In essence, this notebook functions by reading xyz files, converting their contents into a SMILES code with the `ChemML` library, interpreting these SMILES codes as 2D molecular structures with the `RDKit` library, and visualizing the molecules in a grid. There are two main sections for visualization, based on the combinations of the main libraries implemented in each:\n", + "\n", + "- Section I - Visualization With RDKit\n", + "- Section II - Visualization With RDKit and mols2grid\n", + "\n", + "Regardless of which section you'd like to access, there are some preliminary things that need to be set up, which are covered in the *Prerequisites* section.\n", + "\n", + "# Prerequisites\n", + "\n", + "In this section, all of the required libraries for the notebook's functioning are imported, and all necessary variables are established with appropriate data. First, you'll do the former:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "fa01486b", + "metadata": {}, + "outputs": [], + "source": [ + "# import required libraries\n", + "#import iodata \n", + "#from iodata import iodata\n", + "\n", + "import rdkit\n", + "from rdkit import Chem\n", + "from rdkit.Chem import Draw\n", + "\n", + "from chemml.chem import Molecule\n", + "\n", + "import mols2grid\n", + "\n", + "import pandas as pd\n", + "\n", + "import glob\n", + "import os" + ] + }, + { + "cell_type": "markdown", + "id": "d4a39952", + "metadata": {}, + "source": [ + "### Relevant Documentations:\n", + " - [RDKit](http://www.rdkit.org/docs/)\n", + " - [ChemML](https://hachmannlab.github.io/chemml)\n", + " - [mols2grid](https://github.com/cbouy/mols2grid)\n", + " - [pandas](https://pandas.pydata.org/docs/)\n", + " - [glob](https://docs.python.org/3/library/glob.html)\n", + " - [os](https://docs.python.org/3/library/os.html)" + ] + }, + { + "cell_type": "markdown", + "id": "5e84dbec", + "metadata": {}, + "source": [ + "The `Molecule` class from the`ChemML` library can support as of now only smiles, smarts, inchi, and xyz file formats, according to the `ChemML` documentation. Note, however, that this notebook only makes use of the latter. For further reading, see the ChemML documentation from the list of relevant documentations above.\n", + "\n", + "Next, you need to specify the path to the xyz files you'd like to visualize. This should be done in the input below in place of `FILE_PATH`. An example of this input looks as follows:\n", + "\n", + "`xyz_files = glob.glob('/Users/johnsmith/Desktop/structures/*.xyz')`\n", + "\n", + "**Note**: It will be easiest to identify your molecules within your grid if your xyz files have sensible names. This is due to how names of the molecules are defined within this notebook, which is by taking the name of the file and cutting off the \".xyz\" extension from it. For example, \"101_IndolebenzeneTshapecomplex.xyz\" will be named \"101_IndolebenzeneTshapecomplex\" in the grids generated. Thus, try not to have your files named like \"C46H65N15O12S2.xyz\" or anything else nonsensical to you or a third-party reader." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "04a1c205", + "metadata": {}, + "outputs": [ + { + "ename": "Warning", + "evalue": "Couldn't find any xyz files via the specified path", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mWarning\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_137324/406668925.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0mxyz_files\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mglob\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mglob\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'FILE_PATH'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mxyz_files\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mWarning\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'''Couldn't find any xyz files via the specified path'''\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mWarning\u001b[0m: Couldn't find any xyz files via the specified path" + ] + } + ], + "source": [ + "# get names of all .xyz files in desired directory\n", + "xyz_files = glob.glob('FILE_PATH')\n", + "if not xyz_files:\n", + " raise Warning('''Couldn't find any xyz files via the specified path''')" + ] + }, + { + "cell_type": "markdown", + "id": "8bb20f88", + "metadata": {}, + "source": [ + "For the last part of this section, you're going to initialize all the variables you need to use Section I and/or Section II for visualizing your molecules." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "35f9731d", + "metadata": {}, + "outputs": [], + "source": [ + "# create names for the molecules based on their file names in xyz_files\n", + "xyz_names = [os.path.basename(item)[:-4] for item in xyz_files]\n", + "\n", + "# make a list of ChemML Molecule object instances based on the names of the xyz files from xyz_files\n", + "molecule_list = [Molecule(file, input_type='xyz') for file in xyz_files]\n", + "\n", + "# alter the ChemML Molecule object instances of molecule_list so that their SMILES codes can be recognzied by RDKit\n", + "for molecule in molecule_list:\n", + " molecule.to_smiles(kekuleSmiles=True)\n", + "\n", + "# make a list of visual representations of the molecules in molecule_list using RDKit functionality\n", + "drawing_list = [Chem.MolFromSmiles(molecule.smiles) for molecule in molecule_list]\n", + "\n", + "# create a pandas dataframe containing molecule names in one column (\"Name\") and SMILES codes (\"SMILES\") in the other\n", + "table = pd.DataFrame(data={'Name':xyz_names, \n", + " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", + " columns=['Name','SMILES'])" + ] + }, + { + "cell_type": "markdown", + "id": "826cc1cc", + "metadata": {}, + "source": [ + "At this point, you're set to move on to either (or both) Sections I and II." + ] + }, + { + "cell_type": "markdown", + "id": "a26ab87c", + "metadata": {}, + "source": [ + "# Section I - Visualization With RDKit\n", + "\n", + "This section can be used for two things:\n", + "\n", + "1. Visualizing a relatively rudimentary grid of 2D molecules based on the contents of your xyz files.\n", + "2. Saving this grid as an image." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "49a7a4e5", + "metadata": {}, + "outputs": [], + "source": [ + "# define the grid of molecules with drawing_list, the number of molecules per row, the image sizes, and the legend \n", + "# of names of the molecules\n", + "grid = Draw.MolsToGridImage(drawing_list,\n", + " molsPerRow=4, \n", + " subImgSize=(290,425), \n", + " legends=xyz_names, \n", + " returnPNG=False)\n", + "\n", + "# display the grid\n", + "grid" + ] + }, + { + "cell_type": "markdown", + "id": "60a28f1c", + "metadata": {}, + "source": [ + "**Note**: If the stuctures and/or their names in the grid above aren't spaced as you'd like them, you can likely resolve this by changing the dimensions specified by `subIMGSize=( , )` when initializing the `grid` variable.\n", + "\n", + "In the input below, you can save the grid above as a .png file within the same directory you're currently working in. To do this, you should specify a name for this file in place of `IMG_NAME` in your input (if you don't, the file will be saved as \"IMG_NAME.png\"). **Note that the file extension must be specified by `.png`**. An example input could look like:\n", + "\n", + "`grid.save('grid_of_molecules.png')`\n", + "\n", + "If you don't wish to save this grid as an image, you can simply skip over the following input." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fde96a46", + "metadata": {}, + "outputs": [], + "source": [ + "# save the grid as an image\n", + "grid.save('IMG_NAME.png')" + ] + }, + { + "cell_type": "markdown", + "id": "cf2889ae", + "metadata": {}, + "source": [ + "# Section II - Visualization With RDKit and mols2grid\n", + "\n", + "This section is similar to Section I, though its function differs in two main ways:\n", + "\n", + "1. The potential amount of chemical information that can be accessed via your grid is increased. By hovering your cursor over the grid generated, an additional window will be displayed, which can be customized to include more information about your molecule, such as its pH or relative density. The amount of information displayed can be controlled by altering the `tooltip` parameter in the input below. In this version of the notebook however, only the name of the molecule can be displayed, so don't alter this parameter for now.\n", + "2. The grid generated in this section cannot currently be saved as an image." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a66f7625", + "metadata": {}, + "outputs": [], + "source": [ + "# display the grid of molecules based on \"tables\" pandas dataframe using mols2grid library\n", + "mols2grid.display(table, \n", + " smiles_col='SMILES', \n", + " size=(200, 200), \n", + " subset=['Name', 'img'], \n", + " n_cols=4, \n", + " tooltip=['Name'], \n", + " template='table')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:.conda-chemml_env] *", + "language": "python", + "name": "conda-env-.conda-chemml_env-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 23cd7ac62cd80070a1141da43e5c813bcba03496 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Thu, 29 Jul 2021 23:58:51 -0400 Subject: [PATCH 019/126] 2D Plotting, errors generating level curves for contour --- examples/plotting/2D_Plotting_Gradient.ipynb | 109 ++++++++++--------- 1 file changed, 58 insertions(+), 51 deletions(-) diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index edb45329..fc4c95c6 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -22,7 +22,7 @@ }, { "cell_type": "code", - "execution_count": 125, + "execution_count": 150, "metadata": { "scrolled": true }, @@ -31,7 +31,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Initialized: \n", + "Initialized: \n", " Number of basis functions : 219\n", " Number of normalization constants : 453\n", " Maximum shell type : 2\n", @@ -67,13 +67,14 @@ ], "source": [ "import numpy as np\n", + "\n", "import matplotlib.pyplot as plt\n", + "from mpl_toolkits import mplot3d\n", "from mpl_toolkits.mplot3d import Axes3D # Need this to plot in 3D\n", "\n", "from chemtools import Molecule\n", "\n", "mol = Molecule.from_file(\"dichloropyridine26_q+0.fchk\")\n", - "# mol = Molecule.from_file('acrolein_q+0.fchk')\n", "coord = mol.coordinates\n", "\n", "print(\"XYZ Coordinates: \")\n", @@ -107,7 +108,7 @@ }, { "cell_type": "code", - "execution_count": 126, + "execution_count": 151, "metadata": {}, "outputs": [], "source": [ @@ -136,7 +137,7 @@ }, { "cell_type": "code", - "execution_count": 127, + "execution_count": 175, "metadata": { "scrolled": true }, @@ -175,7 +176,7 @@ }, { "cell_type": "code", - "execution_count": 132, + "execution_count": 176, "metadata": { "scrolled": true }, @@ -198,36 +199,6 @@ "needs_background": "light" }, "output_type": "display_data" - }, - { - "ename": "TypeError", - "evalue": "Input must be a 2D array.", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 12\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 14\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcontour\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgrid_2d\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgrid_2d\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - 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"\u001b[0;32m/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/matplotlib/contour.pyc\u001b[0m in \u001b[0;36m_initialize_x_y\u001b[0;34m(self, z)\u001b[0m\n\u001b[1;32m 1616\u001b[0m \"\"\"\n\u001b[1;32m 1617\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mz\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndim\u001b[0m \u001b[0;34m!=\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1618\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Input must be a 2D array.\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1619\u001b[0m \u001b[0;32melif\u001b[0m \u001b[0mz\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m2\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mz\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1620\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Input z must be at least a 2x2 array.\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mTypeError\u001b[0m: Input must be a 2D array." - ] - }, - { - "data": { - "image/png": "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\n", - 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" } ], "source": [ @@ -252,12 +223,12 @@ "source": [ "## Generating a Corresponding Affine Plane\n", "\n", - "We now must plot our coordinates on the grid plane generated below" + "We now must plot our coordinates on the grid plane generated below." ] }, { "cell_type": "code", - "execution_count": 129, + "execution_count": 177, "metadata": {}, "outputs": [ { @@ -307,13 +278,13 @@ "\n", "### Plotting\n", "\n", - "We wish to visualize this in 2 dimensional cartesian space, shich is accomplished by performing the dot product on our projection (`proj_gradients`) and our orthonormal vector. \n", + "We wish to visualize this in 2 dimensional cartesian space, which is accomplished by performing the dot product on our projection (`proj_gradients`) and our orthonormal vector. \n", "\n" ] }, { "cell_type": "code", - "execution_count": 130, + "execution_count": 178, "metadata": {}, "outputs": [], "source": [ @@ -330,7 +301,7 @@ }, { "cell_type": "code", - "execution_count": 131, + "execution_count": 179, "metadata": {}, "outputs": [ { @@ -358,7 +329,7 @@ }, { "cell_type": "code", - "execution_count": 139, + "execution_count": 172, "metadata": {}, "outputs": [ { @@ -384,30 +355,44 @@ }, { "cell_type": "code", - "execution_count": 140, + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 174, "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1. 1. 1. ... 1. 1. 1.]\n" + ] + }, { "ename": "TypeError", - "evalue": "Input must be a 2D array.", + "evalue": "Input z must be a 2D array.", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 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"\u001b[0;32m/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/matplotlib/contour.pyc\u001b[0m in \u001b[0;36m_check_xyz\u001b[0;34m(self, args, kwargs)\u001b[0m\n\u001b[1;32m 1566\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1567\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mz\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndim\u001b[0m \u001b[0;34m!=\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1568\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Input z must be a 2D array.\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1569\u001b[0m \u001b[0;32melif\u001b[0m \u001b[0mz\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m2\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mz\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1570\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Input z must be at least a 2x2 array.\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mTypeError\u001b[0m: Input z must be a 2D array." ] }, { "data": { - "image/png": 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\n", 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" ] @@ -419,9 +404,31 @@ } ], "source": [ - "plt.contour(grid_2d[:, 0], grid_2d[:, 1], zdir='x')" + "\n", + "#plt.contour(grid_2d[:, 0], grid_2d[:, 1], zdir='x')\n", + "def f(x,y):\n", + " return np.sqrt(x** 2 + y**2)\n", + "\n", + "\n", + "x = rot_proj_gradients[:,0]\n", + "y = rot_proj_gradients[:,1]\n", + "z = f(x,y)\n", + "z = np.array(z)\n", + "print(z)\n", + "\n", + "contour = plt.figure()\n", + "ax = plt.axes(projection='3d')\n", + "ax.contour3D(x,y,z, cmap='binary')\n", + "plt.show()" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": null, From 60d72a25fa357abf1f9cd8088eb862345b95442e Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 30 Jul 2021 00:29:50 -0400 Subject: [PATCH 020/126] error with iodata load_one --- .../annotate/molecular_visualization.ipynb | 29 ++++++++++++++++--- 1 file changed, 25 insertions(+), 4 deletions(-) diff --git a/examples/annotate/molecular_visualization.ipynb b/examples/annotate/molecular_visualization.ipynb index 9377ed2b..67b8d371 100644 --- a/examples/annotate/molecular_visualization.ipynb +++ b/examples/annotate/molecular_visualization.ipynb @@ -21,14 +21,13 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 2, "id": "fa01486b", "metadata": {}, "outputs": [], "source": [ "# import required libraries\n", - "#import iodata \n", - "#from iodata import iodata\n", + "from iodata import iodata\n", "\n", "import rdkit\n", "from rdkit import Chem\n", @@ -72,6 +71,28 @@ "**Note**: It will be easiest to identify your molecules within your grid if your xyz files have sensible names. This is due to how names of the molecules are defined within this notebook, which is by taking the name of the file and cutting off the \".xyz\" extension from it. For example, \"101_IndolebenzeneTshapecomplex.xyz\" will be named \"101_IndolebenzeneTshapecomplex\" in the grids generated. Thus, try not to have your files named like \"C46H65N15O12S2.xyz\" or anything else nonsensical to you or a third-party reader." ] }, + { + "cell_type": "code", + "execution_count": 3, + "id": "aee7d433", + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'load_one' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mloadInput\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mload_one\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"dichloropyridine26_q+0.fchk\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mNameError\u001b[0m: name 'load_one' is not defined" + ] + } + ], + "source": [ + "loadInput = load_one(\"dichloropyridine26_q+0.fchk\")" + ] + }, { "cell_type": "code", "execution_count": 6, @@ -243,7 +264,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.7.10" } }, "nbformat": 4, From 60068c9d6720e83a08eea497fe002246d03fa1ee Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Wed, 4 Aug 2021 14:21:38 -0400 Subject: [PATCH 021/126] conversion tool from IODATA to CHEMICAL JSON --- .../ConvertToChemJSON/ConvertIoDataJSON.ipynb | 295 ++++++++++++++++++ 1 file changed, 295 insertions(+) create mode 100644 examples/ConvertToChemJSON/ConvertIoDataJSON.ipynb diff --git a/examples/ConvertToChemJSON/ConvertIoDataJSON.ipynb b/examples/ConvertToChemJSON/ConvertIoDataJSON.ipynb new file mode 100644 index 00000000..71f35825 --- /dev/null +++ b/examples/ConvertToChemJSON/ConvertIoDataJSON.ipynb @@ -0,0 +1,295 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "e352ef19", + "metadata": {}, + "source": [ + "# Converting IOData Information into Chemical JSON Forma\n", + "\n", + "## Introduction\n", + "IOData is a python utility for parsing and converting common chemical \n", + "\n", + "The goal of this tool is to convert IOData into Chemical JSON, a file format increasingly used by the OpenChem Group\n", + "\n", + "## Dependencies\n", + "1. [IOData](https://iodata.readthedocs.io/en/latest/index.html#) \n", + "2. [Numpy](https://numpy.org/)\n", + "3. [Python-JSON](https://docs.python.org/3/library/json.html#module-json)\n", + "4. [ChemicalJSON](https://wiki.openchemistry.org/Chemical_JSON)\n", + "5. [JSON Encoder](https://stackoverflow.com/questions/57269741/typeerror-object-of-type-ndarray-is-not-json-serializable)\n", + "\n", + "## Limitations of File Formats" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "3a9406b1", + "metadata": {}, + "outputs": [], + "source": [ + "import iodata\n", + "from iodata import load_one, dump_one\n", + "import numpy as np\n", + "\n", + "import json" + ] + }, + { + "cell_type": "markdown", + "id": "242658be", + "metadata": {}, + "source": [ + "## IOData Data Parsing \n", + "\n", + "1. We use `load_one` to load our input file\n", + "2. We also want to initialize our chemical JSON by creating a dictionary starting with element `\"chemicaljson\":0` \n", + "3. We now want to populate our dictionary, `molDict`, by using IOData API calls, such as \n", + " - title - obtain the name of the molecule, including information such as the computational basis set used, and the hybridization state\n", + " - atcoords - obtain 3D XYZ Cartesian Coordinates\n", + " - atnums - obtain the atomic number of each atom in the system\n", + " - atcharges - obtain a dictionary detailing the charges of each atom in the system \n" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "07c8fe84", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "dichloropyridine26_q+0 ub3lyp/cc-pvtz sp-stable\n", + " \n", + "{'chemicaljson': 0, 'title': 'dichloropyridine26_q+0 ub3lyp/cc-pvtz sp-stable', 'coords': {'3d': array([[-4.95130924e+00, 2.31173977e+00, -2.64561659e-04],\n", + " [ 4.95149821e+00, 2.31139962e+00, 2.07869875e-04],\n", + " [ 7.55890453e-05, 1.84250188e+00, -1.88972613e-05],\n", + " [-9.44863066e-05, -3.41775868e+00, 1.13383568e-04],\n", + " [-2.28277027e+00, -2.09580077e+00, -1.88972613e-05],\n", + " [ 2.28267578e+00, -2.09595195e+00, 1.70075352e-04],\n", + " [-2.13763930e+00, 5.39856962e-01, -3.77945227e-05],\n", + " [ 2.13769600e+00, 5.39705784e-01, 7.55890453e-05],\n", + " [-1.70075352e-04, -5.47831606e+00, 1.51178091e-04],\n", + " [-4.10063012e+00, -3.05289036e+00, -7.55890453e-05],\n", + " [ 4.10047894e+00, -3.05315492e+00, 2.83458920e-04]])}, 'elements': {'numbers': array([17, 17, 7, 6, 6, 6, 6, 6, 1, 1, 1])}}\n" + ] + } + ], + "source": [ + "mol = load_one(\"dichloropyridine26_q+0.fchk\")\n", + "\n", + "molDict = {\"chemicaljson\":0} \n", + "\n", + "name = mol.title\n", + "molDict.update({'title':name})\n", + "\n", + "print(molDict[\"title\"])\n", + "\n", + "print(\" \")\n", + "\n", + "molCoord = np.array(mol.atcoords)\n", + "molDict.update({'coords':\n", + " {'3d':molCoord}\n", + " })\n", + " \n", + " \n", + "molAtomicNums = mol.atnums\n", + "molDict.update({'elements':\n", + " {'numbers':molAtomicNums}\n", + " }) \n", + "\n", + "\n", + "\n", + "\n", + "print(molDict)" + ] + }, + { + "cell_type": "markdown", + "id": "26fc955a", + "metadata": {}, + "source": [ + "## Encoding \n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "5d37c066", + "metadata": {}, + "outputs": [], + "source": [ + "class NumpyEncoder(json.JSONEncoder):\n", + " \"\"\" Special json encoder for numpy types \"\"\"\n", + " def default(self, obj):\n", + " if isinstance(obj, (np.int_, np.intc, np.intp, np.int8,\n", + " np.int16, np.int32, np.int64, np.uint8,\n", + " np.uint16, np.uint32, np.uint64)):\n", + " return int(obj)\n", + " elif isinstance(obj, (np.float_, np.float16, np.float32,\n", + " np.float64)):\n", + " return float(obj)\n", + " elif isinstance(obj, (np.ndarray,)):\n", + " return obj.tolist()\n", + " return json.JSONEncoder.default(self, obj)" + ] + }, + { + "cell_type": "markdown", + "id": "9fededcf", + "metadata": {}, + "source": [ + "## Output to JSON \n", + "\n", + "We now want to output our dictionary that we populated with IOData, and encoded using the afforementioned JSONEncoder. We accomplish this using `json.dumps`, then creating a new writeable file, in which the JSON jump is written into. \n", + "\n", + "As an intermediary sanity check, we can examine our JSON using `print(molJson)` " + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "id": "1ed48333", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{\n", + " \"chemicaljson\": 0,\n", + " \"title\": \"dichloropyridine26_q+0 ub3lyp/cc-pvtz sp-stable\",\n", + " \"coords\": {\n", + " \"3d\": [\n", + " [\n", + " -4.95130924,\n", + " 2.31173977,\n", + " -0.000264561659\n", + " ],\n", + " [\n", + " 4.95149821,\n", + " 2.31139962,\n", + " 0.000207869875\n", + " ],\n", + " [\n", + " 7.55890453e-05,\n", + " 1.84250188,\n", + " -1.88972613e-05\n", + " ],\n", + " [\n", + " -9.44863066e-05,\n", + " -3.41775868,\n", + " 0.000113383568\n", + " ],\n", + " [\n", + " -2.28277027,\n", + " -2.09580077,\n", + " -1.88972613e-05\n", + " ],\n", + " [\n", + " 2.28267578,\n", + " -2.09595195,\n", + " 0.000170075352\n", + " ],\n", + " [\n", + " -2.1376393,\n", + " 0.539856962,\n", + " -3.77945227e-05\n", + " ],\n", + " [\n", + " 2.137696,\n", + " 0.539705784,\n", + " 7.55890453e-05\n", + " ],\n", + " [\n", + " -0.000170075352,\n", + " -5.47831606,\n", + " 0.000151178091\n", + " ],\n", + " [\n", + " -4.10063012,\n", + " -3.05289036,\n", + " -7.55890453e-05\n", + " ],\n", + " [\n", + " 4.10047894,\n", + " -3.05315492,\n", + " 0.00028345892\n", + " ]\n", + " ]\n", + " },\n", + " \"elements\": {\n", + " \"numbers\": [\n", + " 17,\n", + " 17,\n", + " 7,\n", + " 6,\n", + " 6,\n", + " 6,\n", + " 6,\n", + " 6,\n", + " 1,\n", + " 1,\n", + " 1\n", + " ]\n", + " }\n", + "}\n" + ] + }, + { + "ename": "UnsupportedOperation", + "evalue": "not readable", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mUnsupportedOperation\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mf\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"dichloropyridine26_q+0.json\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"w\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwrite\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmolJson\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 7\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mUnsupportedOperation\u001b[0m: not readable" + ] + } + ], + "source": [ + "molJson = json.dumps(molDict, indent=3, cls=NumpyEncoder)\n", + "print(molJson)\n", + "\n", + "f = open(\"dichloropyridine26_q+0.json\", \"w\")\n", + "f.write(molJson)\n", + "f.close()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "eba3d92d", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:.conda-chemml_env] *", + "language": "python", + "name": "conda-env-.conda-chemml_env-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 5031fddc9930ce210cbf346def2697c8362b2deb Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 6 Aug 2021 11:38:38 -0400 Subject: [PATCH 022/126] Delete Annotate_RDKit.ipynb removed, no longer used, rewrite in progress --- examples/annotate/Annotate_RDKit.ipynb | 210 ------------------------- 1 file changed, 210 deletions(-) delete mode 100644 examples/annotate/Annotate_RDKit.ipynb diff --git a/examples/annotate/Annotate_RDKit.ipynb b/examples/annotate/Annotate_RDKit.ipynb deleted file mode 100644 index 4ca7774b..00000000 --- a/examples/annotate/Annotate_RDKit.ipynb +++ /dev/null @@ -1,210 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "28446545", - "metadata": {}, - "source": [ - "# Annotating 2D Molecular Structures Using RDKit \n", - "## Introduction\n", - "This program is meant to use IOData to parse a 'fchk' input file for atoms and atomic charges, then use RDKit to visualize the molecule in question and output as a png file. RDKit will also colorize in accordance to atomic charges\n", - " \n", - "\n", - "## Dependencies\n", - "\n", - "1. We need to load dependencies for both IOData and RDKit\n", - "\n", - "2. IOData requires a means to load an input file \"input\" using `load_one`, and output a 'sdf' file using `dump_one`,\n", - "\n", - "3. RDKit is modular, and requires specific modules for certain tasks. IE. when we want to manipulate a chemical, we need RDKit to import Chem/AllChem, and then individually import necessary submodules such as `PeriodicTable`\n", - "\n", - "Below are the dependencies\n" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "5d50bb3a", - "metadata": {}, - "outputs": [ - { - "ename": "ModuleNotFoundError", - "evalue": "No module named 'rdkit'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 9\u001b[0m '''\n\u001b[1;32m 10\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 11\u001b[0;31m \u001b[0;32mfrom\u001b[0m \u001b[0mrdkit\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mChem\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 12\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mrdkit\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mChem\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mAllChem\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mrdkit\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mChem\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mDraw\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'rdkit'" - ] - } - ], - "source": [ - "\n", - "from iodata import load_one, dump_one \n", - "from iodata import iodata\n", - "'''\n", - "from iodata import formats \n", - "from iodata.formats import sdf\n", - "from iodata import formats \n", - "from iodata.formats import sdf\n", - "from iodata.formats.sdf import dump_one \n", - "'''\n", - "\n", - "from rdkit import Chem\n", - "from rdkit.Chem import AllChem \n", - "from rdkit.Chem import Draw\n", - "from rdkit.Chem.Draw import rdMolDraw2D\n", - "from rdkit.Chem.Draw import MolToImage\n", - "from rdkit.Chem import rdMolTransforms \n", - "from rdkit.Chem import PeriodicTable\n", - "from rdkit.Chem import rdmolfiles\n", - "from rdkit.Chem.Draw import DrawingOptions\n", - "\n", - "from IPython.display import Image\n" - ] - }, - { - "cell_type": "markdown", - "id": "5f697204", - "metadata": {}, - "source": [ - "## Manipulate Our Input\n", - "\n", - "We need to load our input using the afforementioned `load_one` and save to 'sdf' using `dump_one`\n", - "\n", - "### IOData manipulation \n", - "After loading and saving, we want to manipulate the loaded input file 'loadInput'\n", - "\n", - "1. We want to create a key : value dictionary, dictCharges, of our atomic charges, accomplished using the atcharges API call \n", - "\n", - "### RDKit Manipulation\n", - "\n", - "1. Working with our saved output file, we want to read it using RDKit, accomplished by `Chem.MolFromMolFile()`\n", - "\n", - "2. We can create an additional key : value dictionary tabulating our atomic numbers and atoms, accomplished by establishing a for loop for `GetAtoms()` then iterating through each atom.\n", - "\n", - "3. We can also examine our readed 'sdf' file by running `Chem.MolToSmiles()` \n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "22ce65a2", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "mulliken [-0.48356702 1.21850493 0.70394801 0.64173068 -0.65568545 -0.36909143\n", - " -0.49770781 -0.55813191]\n", - "esp [-0.47309653 -0.16880218 0.49252442 -0.35304122 0.14979923 -0.00819151\n", - " 0.19343217 0.16737561]\n", - "npa [-0.54651148 -0.31660749 0.39734959 -0.3321443 0.23668159 0.12814813\n", - " 0.22080404 0.21227993]\n" - ] - }, - { - "ename": "NameError", - "evalue": "name 'Chem' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdictCharges\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 9\u001b[0;31m \u001b[0mreadFile\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mChem\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mMolFromMolFile\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'acrolein.sdf'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 10\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 11\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\" \"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mNameError\u001b[0m: name 'Chem' is not defined" - ] - } - ], - "source": [ - "input = 'acrolein_q+0.fchk'\n", - "loadInput = load_one(input)\n", - "dump_one(loadInput,'acrolein.sdf')\n", - "\n", - "for key, value in loadInput.atcharges.items():\n", - " dictCharges = f\"{key[0:]} {value[0:]}\" \n", - " print(dictCharges)\n", - "\n", - "readFile = Chem.MolFromMolFile('acrolein.sdf')\n", - "\n", - "print(\" \")\n", - "print(\"Atomic Numbers of Individual Atoms: \")\n", - "for m in readFile.GetAtoms():\n", - " dictAtom = f\"{m.GetAtomicNum()} {m.GetSymbol()}\" \n", - " print(dictAtom)\n", - " \n", - " # THIS IS DIAGNOSTIC, I AM NOT SURE WHY DUMP_ONE OR RDKIT IS FAILING TO PRESERVE BONDS OR HOW TO RECONSTRUCT THE BONDS\n", - "smiles = Chem.MolToSmiles(readFile)\n", - "molTemp = smiles.replace(\".\",\"\")\n", - "print(smiles)\n", - "print(molTemp)\n", - "test = Chem.MolFromSmiles(molTemp)\n", - "print(test)" - ] - }, - { - "cell_type": "markdown", - "id": "d68b5fec", - "metadata": {}, - "source": [ - "## Visualization using RDKit\n", - "Now we want to save our image and view, accomplished using `Draw.MolToImage()` " - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "a492e5f8", - "metadata": {}, - "outputs": [ - { - "ename": "NameError", - "evalue": "name 'MolToImage' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m#img = Draw.MolToImage(readFile)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mimg\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mMolToImage\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msmile\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m400\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m400\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mfitImage\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0mimg\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mNameError\u001b[0m: name 'MolToImage' is not defined" - ] - } - ], - "source": [ - "#img = Draw.MolToImage(readFile)\n", - "\n", - "img = MolToImage(smile, size=(400, 400),fitImage=True)\n", - "img" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1c0de00d", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python [conda env:.conda-my-rdkit-env] *", - "language": "python", - "name": "conda-env-.conda-my-rdkit-env-py" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.10" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} From 098a597cd6b4eea9d2be4b6d2110b74b09624740 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 6 Aug 2021 11:38:59 -0400 Subject: [PATCH 023/126] Delete bkup.ipynb removed, no longer used, rewrite in progress --- examples/annotate/bkup.ipynb | 164 ----------------------------------- 1 file changed, 164 deletions(-) delete mode 100644 examples/annotate/bkup.ipynb diff --git a/examples/annotate/bkup.ipynb b/examples/annotate/bkup.ipynb deleted file mode 100644 index 4a5f05b0..00000000 --- a/examples/annotate/bkup.ipynb +++ /dev/null @@ -1,164 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 42, - "id": "5d50bb3a", - "metadata": {}, - "outputs": [], - "source": [ - "import numpy \n", - "import sys,os\n", - "\n", - "from iodata import load_one, dump_one \n", - "from iodata import iodata\n", - "'''\n", - "from iodata import formats \n", - "from iodata.formats import sdf\n", - "from iodata import formats \n", - "from iodata.formats import sdf\n", - "from iodata.formats.sdf import dump_one \n", - "'''\n", - "\n", - "from rdkit import Chem\n", - "from rdkit.Chem import AllChem \n", - "from rdkit.Chem import Draw\n", - "from rdkit.Chem.Draw import rdMolDraw2D\n", - "from rdkit.Chem.Draw import MolToImage\n", - "from rdkit.Chem import rdMolTransforms \n", - "from rdkit.Chem import PeriodicTable\n", - "from rdkit.Chem import rdmolfiles\n", - "from rdkit.Chem.Draw import DrawingOptions\n", - "\n", - "from IPython.display import Image\n" - ] - }, - { - "cell_type": "code", - "execution_count": 92, - "id": "22ce65a2", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "mulliken [-0.48356702 1.21850493 0.70394801 0.64173068 -0.65568545 -0.36909143\n", - " -0.49770781 -0.55813191]\n", - "esp [-0.47309653 -0.16880218 0.49252442 -0.35304122 0.14979923 -0.00819151\n", - " 0.19343217 0.16737561]\n", - "npa [-0.54651148 -0.31660749 0.39734959 -0.3321443 0.23668159 0.12814813\n", - " 0.22080404 0.21227993]\n", - " \n", - "Atomic Numbers of Individual Atoms: \n", - "8 O\n", - "6 C\n", - "6 C\n", - "6 C\n", - "1 H\n", - "1 H\n", - "1 H\n", - "1 H\n", - "C.C.C.O.[HH].[HH].[HH].[HH]\n", - "None\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "RDKit WARNING: [20:33:50] WARNING: not removing hydrogen atom without neighbors\n", - "RDKit WARNING: [20:33:50] WARNING: not removing hydrogen atom without neighbors\n", - "RDKit WARNING: [20:33:50] WARNING: not removing hydrogen atom without neighbors\n", - "RDKit WARNING: [20:33:50] WARNING: not removing hydrogen atom without neighbors\n", - "RDKit ERROR: [20:33:50] Explicit valence for atom # 4 H, 3, is greater than permitted\n" - ] - } - ], - "source": [ - "input = 'acrolein_q+0.fchk'\n", - "loadInput = load_one(input)\n", - "dump_one(loadInput,'acrolein.sdf')\n", - "\n", - "for key, value in loadInput.atcharges.items():\n", - " dictCharges = f\"{key[0:]} {value[0:]}\" \n", - " print(dictCharges)\n", - "\n", - "readFile = Chem.MolFromMolFile('acrolein.sdf')\n", - "\n", - "print(\" \")\n", - "print(\"Atomic Numbers of Individual Atoms: \")\n", - "for m in readFile.GetAtoms():\n", - " print(f\"{m.GetAtomicNum()} {m.GetSymbol()}\") \n", - " \n", - "smiles = Chem.MolToSmiles(readFile)\n", - "molTemp = smiles.replace(\".\",\"\")\n", - "print(smiles)\n", - "test = Chem.MolFromSmiles(molTemp)\n", - "print(test)" - ] - }, - { - "cell_type": "code", - "execution_count": 90, - "id": "a492e5f8", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "execution_count": 90, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "img = Draw.MolToImage(readFile)\n", - "\n", - "#img = MolToImage(smile, size=(400, 400),fitImage=True)\n", - "img" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1c0de00d", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "7aaab0f9", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python [conda env:.conda-my-rdkit-env] *", - "language": "python", - "name": "conda-env-.conda-my-rdkit-env-py" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.10" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} From c0dd11ff0836a2bb4279c96c428505a259927858 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 6 Aug 2021 12:02:59 -0400 Subject: [PATCH 024/126] will no longer be updated --- .../ConvertToChemJSON/ConvertIoDataJSON.ipynb | 76 +++++++++---------- 1 file changed, 36 insertions(+), 40 deletions(-) diff --git a/examples/ConvertToChemJSON/ConvertIoDataJSON.ipynb b/examples/ConvertToChemJSON/ConvertIoDataJSON.ipynb index 71f35825..38d606e2 100644 --- a/examples/ConvertToChemJSON/ConvertIoDataJSON.ipynb +++ b/examples/ConvertToChemJSON/ConvertIoDataJSON.ipynb @@ -19,12 +19,13 @@ "4. [ChemicalJSON](https://wiki.openchemistry.org/Chemical_JSON)\n", "5. [JSON Encoder](https://stackoverflow.com/questions/57269741/typeerror-object-of-type-ndarray-is-not-json-serializable)\n", "\n", - "## Limitations of File Formats" + "## Limitations of File Formats\n", + "Per IOData documentation, certain file formats cannot read certain features via IOData, an example being the inability to use `bonds` to obtain bond data from `fchk` files " ] }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 20, "id": "3a9406b1", "metadata": {}, "outputs": [], @@ -46,15 +47,15 @@ "1. We use `load_one` to load our input file\n", "2. We also want to initialize our chemical JSON by creating a dictionary starting with element `\"chemicaljson\":0` \n", "3. We now want to populate our dictionary, `molDict`, by using IOData API calls, such as \n", - " - title - obtain the name of the molecule, including information such as the computational basis set used, and the hybridization state\n", - " - atcoords - obtain 3D XYZ Cartesian Coordinates\n", - " - atnums - obtain the atomic number of each atom in the system\n", - " - atcharges - obtain a dictionary detailing the charges of each atom in the system \n" + " - `title` - obtain the name of the molecule, including information such as the computational basis set used, and the hybridization state\n", + " - `atcoords` - obtain 3D XYZ Cartesian Coordinates\n", + " - `atnums` - obtain the atomic number of each atom in the system\n", + " - `atcharges` - obtain a dictionary detailing the charges of each atom in the system \n" ] }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 30, "id": "07c8fe84", "metadata": {}, "outputs": [ @@ -64,6 +65,7 @@ "text": [ "dichloropyridine26_q+0 ub3lyp/cc-pvtz sp-stable\n", " \n", + " \n", "{'chemicaljson': 0, 'title': 'dichloropyridine26_q+0 ub3lyp/cc-pvtz sp-stable', 'coords': {'3d': array([[-4.95130924e+00, 2.31173977e+00, -2.64561659e-04],\n", " [ 4.95149821e+00, 2.31139962e+00, 2.07869875e-04],\n", " [ 7.55890453e-05, 1.84250188e+00, -1.88972613e-05],\n", @@ -74,7 +76,7 @@ " [ 2.13769600e+00, 5.39705784e-01, 7.55890453e-05],\n", " [-1.70075352e-04, -5.47831606e+00, 1.51178091e-04],\n", " [-4.10063012e+00, -3.05289036e+00, -7.55890453e-05],\n", - " [ 4.10047894e+00, -3.05315492e+00, 2.83458920e-04]])}, 'elements': {'numbers': array([17, 17, 7, 6, 6, 6, 6, 6, 1, 1, 1])}}\n" + " [ 4.10047894e+00, -3.05315492e+00, 2.83458920e-04]])}, 'atoms': {'elements': {'numbers': array([17, 17, 7, 6, 6, 6, 6, 6, 1, 1, 1])}}}\n" ] } ], @@ -90,20 +92,23 @@ "\n", "print(\" \")\n", "\n", - "molCoord = np.array(mol.atcoords)\n", + "molCoord = np.asarray(mol.atcoords)\n", + "\n", "molDict.update({'coords':\n", " {'3d':molCoord}\n", " })\n", " \n", - " \n", + "\n", "molAtomicNums = mol.atnums\n", - "molDict.update({'elements':\n", + "molDict.update({'atoms':\n", + " {'elements':\n", " {'numbers':molAtomicNums}\n", - " }) \n", - "\n", + " }}) \n", "\n", "\n", + "print(\" \")\n", "\n", + "# Sanity Check\n", "print(molDict)" ] }, @@ -118,7 +123,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 28, "id": "5d37c066", "metadata": {}, "outputs": [], @@ -152,7 +157,7 @@ }, { "cell_type": "code", - "execution_count": 71, + "execution_count": 29, "id": "1ed48333", "metadata": {}, "outputs": [ @@ -222,34 +227,25 @@ " ]\n", " ]\n", " },\n", - " \"elements\": {\n", - " \"numbers\": [\n", - " 17,\n", - " 17,\n", - " 7,\n", - " 6,\n", - " 6,\n", - " 6,\n", - " 6,\n", - " 6,\n", - " 1,\n", - " 1,\n", - " 1\n", - " ]\n", + " \"atoms\": {\n", + " \"elements\": {\n", + " \"numbers\": [\n", + " 17,\n", + " 17,\n", + " 7,\n", + " 6,\n", + " 6,\n", + " 6,\n", + " 6,\n", + " 6,\n", + " 1,\n", + " 1,\n", + " 1\n", + " ]\n", + " }\n", " }\n", "}\n" ] - }, - { - "ename": "UnsupportedOperation", - "evalue": "not readable", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mUnsupportedOperation\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mf\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"dichloropyridine26_q+0.json\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"w\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwrite\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmolJson\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 7\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mUnsupportedOperation\u001b[0m: not readable" - ] } ], "source": [ From 4c1218f1691055b4654be9e8ea32991775ac7bf9 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 6 Aug 2021 12:05:26 -0400 Subject: [PATCH 025/126] update --- examples/plotting/2D_Plotting_Gradient.ipynb | 28 +++++++++++--------- 1 file changed, 15 insertions(+), 13 deletions(-) diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index fc4c95c6..d1e9309d 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -11,9 +11,9 @@ "\n", "## Dependencies\n", "\n", - "1. numpy\n", - "2. matplotlib \n", - "3. Chemtools \n", + "1. [numpy](https://numpy.org/doc/stable/)\n", + "2. [matplotlib ](https://matplotlib.org/stable/contents.html)\n", + "3. [Chemtools](https://chemtools.org/usr_doc_installation.html) \n", "\n", "## Obtaining XYZ coordinates\n", "\n", @@ -22,7 +22,7 @@ }, { "cell_type": "code", - "execution_count": 150, + "execution_count": 180, "metadata": { "scrolled": true }, @@ -31,7 +31,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Initialized: \n", + "Initialized: \n", " Number of basis functions : 219\n", " Number of normalization constants : 453\n", " Maximum shell type : 2\n", @@ -108,7 +108,7 @@ }, { "cell_type": "code", - "execution_count": 151, + "execution_count": 181, "metadata": {}, "outputs": [], "source": [ @@ -329,7 +329,7 @@ }, { "cell_type": "code", - "execution_count": 172, + "execution_count": 182, "metadata": {}, "outputs": [ { @@ -354,15 +354,17 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": {}, - "outputs": [], - "source": [] + "source": [ + "## Generation of a Contour Plot \n", + "\n", + "Contour plots convert a 3D function to 2D and are usued to represent the change in a specific axis given the other variables are held constant. Each contour line is a *level curve* which represents points that share the same z coordinate. " + ] }, { "cell_type": "code", - "execution_count": 174, + "execution_count": 183, "metadata": {}, "outputs": [ { @@ -379,7 +381,7 @@ "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[0mcontour\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 14\u001b[0m \u001b[0max\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maxes\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mprojection\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'3d'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 15\u001b[0;31m 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\u001b[0mcontours\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", From 3fee292822d33ccea1d8dad5373d350021a29a41 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 6 Aug 2021 13:04:17 -0400 Subject: [PATCH 026/126] added contour plot, visualizes, but currently incorrect --- examples/plotting/2D_Plotting_Gradient.ipynb | 110 +++++++++++-------- 1 file changed, 64 insertions(+), 46 deletions(-) diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index d1e9309d..56843736 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -22,7 +22,7 @@ }, { "cell_type": "code", - "execution_count": 180, + "execution_count": 8, "metadata": { "scrolled": true }, @@ -31,7 +31,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Initialized: \n", + "Initialized: \n", " Number of basis functions : 219\n", " Number of normalization constants : 453\n", " Maximum shell type : 2\n", @@ -108,11 +108,11 @@ }, { "cell_type": "code", - "execution_count": 181, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ - "v1, v2 = coord[1] - coord[0], molCoord[2] - coord[0]\n", + "v1, v2 = coord[1] - coord[0], coord[2] - coord[0]\n", "normal = np.cross(v1, v2)\n", "normal /= np.linalg.norm(normal)\n", "\n", @@ -137,7 +137,7 @@ }, { "cell_type": "code", - "execution_count": 175, + "execution_count": 19, "metadata": { "scrolled": true }, @@ -176,7 +176,7 @@ }, { "cell_type": "code", - "execution_count": 176, + "execution_count": 20, "metadata": { "scrolled": true }, @@ -228,7 +228,7 @@ }, { "cell_type": "code", - "execution_count": 177, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -284,12 +284,26 @@ }, { "cell_type": "code", - "execution_count": 178, + "execution_count": 29, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 1.70982687e-05 5.10868096e-04 -6.55691344e-09]\n", + " [-2.04658254e-05 8.72965114e-04 -1.29942129e-08]\n", + " [-1.34014657e-04 1.43885163e-03 -2.51374698e-08]\n", + " ...\n", + " [ 3.92944438e-08 -8.98940297e-06 1.84799988e-10]\n", + " [ 3.01288771e-09 -6.67502749e-06 1.34390522e-10]\n", + " [ 4.24791253e-09 -4.95304702e-06 9.83619427e-11]]\n" + ] + } + ], "source": [ "gradients = mol.compute_gradient(grid_plane)\n", - "\n", + "print(gradients)\n", "\n", "proj_gradients = gradients - np.dot(gradients, normal)[:, np.newaxis] * normal\n", "# Make sure it is on the plane by making sure it is orthogonal to the normal.\n", @@ -301,7 +315,7 @@ }, { "cell_type": "code", - "execution_count": 179, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -329,15 +343,15 @@ }, { "cell_type": "code", - "execution_count": 182, + "execution_count": 57, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[ 0.72091656 0.68034089 0.62785585 ... -0.69419164 -0.69700773\n", - " -0.69671635]\n", + "[ 3.68499490e-04 5.94077058e-04 9.07301444e-04 ... -6.24042800e-06\n", + " -4.65254625e-06 -3.45087013e-06]\n", "[[-11.15737795 -4.13120126]\n", " [-11.15737795 -3.83120126]\n", " [-11.15737795 -3.53120126]\n", @@ -364,39 +378,33 @@ }, { "cell_type": "code", - "execution_count": 183, + "execution_count": 75, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[1. 1. 1. ... 1. 1. 1.]\n" - ] - }, - { - "ename": "TypeError", - "evalue": "Input z must be a 2D array.", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[0mcontour\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 14\u001b[0m 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[-0.18353016 -0.18353016 -0.18353016 ... 1.70482152 1.70482152\n", + " 1.70482152]\n", + " [-0.31262044 -0.31262044 -0.31262044 ... 1.57573124 1.57573124\n", + " 1.57573124]\n", + " [-1.65101903 -1.65101903 -1.65101903 ... 0.23733265 0.23733265\n", + " 0.23733265]]\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "
" + "
" ] }, "metadata": { @@ -408,19 +416,22 @@ "source": [ "\n", "#plt.contour(grid_2d[:, 0], grid_2d[:, 1], zdir='x')\n", - "def f(x,y):\n", - " return np.sqrt(x** 2 + y**2)\n", + "\n", + "x= grid_2d[:,0]\n", + "y = grid_2d[:,1]\n", + "\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = np.sin(X**2) + np.cos(Y**2)\n", "\n", "\n", - "x = rot_proj_gradients[:,0]\n", - "y = rot_proj_gradients[:,1]\n", - "z = f(x,y)\n", - "z = np.array(z)\n", - "print(z)\n", + "print(Z)\n", + "\n", + "plt.figure(figsize=(10,10))\n", + "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", + "plt.legend()\n", + "plt.contour(x,y,Z, )\n", + "#plt.contourf(X,Y,Z, cmap='Reds')\n", "\n", - "contour = plt.figure()\n", - "ax = plt.axes(projection='3d')\n", - "ax.contour3D(x,y,z, cmap='binary')\n", "plt.show()" ] }, @@ -431,6 +442,13 @@ "outputs": [], "source": [] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": null, From 6598e2c31f1ab80ed27a764b146299a5c65a8274 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 6 Aug 2021 13:08:30 -0400 Subject: [PATCH 027/126] added contour plot, visualizes, but currently incorrect --- examples/plotting/2D_Plotting_Gradient.ipynb | 32 ++++++++++---------- 1 file changed, 16 insertions(+), 16 deletions(-) diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index 56843736..b3c3f56a 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -378,31 +378,31 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 77, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[[-1.1336672 -1.1336672 -1.1336672 ... 0.75468448 0.75468448\n", - " 0.75468448]\n", - " [-1.43825325 -1.43825325 -1.43825325 ... 0.45009843 0.45009843\n", - " 0.45009843]\n", - " [ 0.07198582 0.07198582 0.07198582 ... 1.9603375 1.9603375\n", - " 1.9603375 ]\n", + "[[11.8976429 11.8976429 11.8976429 ... 4.28630482 4.28630482\n", + " 4.28630482]\n", + " [11.79682948 11.79682948 11.79682948 ... 3.99796051 3.99796051\n", + " 3.99796051]\n", + " [11.70284005 11.70284005 11.70284005 ... 3.71146434 3.71146434\n", + " 3.71146434]\n", " ...\n", - " [-0.18353016 -0.18353016 -0.18353016 ... 1.70482152 1.70482152\n", - " 1.70482152]\n", - " [-0.31262044 -0.31262044 -0.31262044 ... 1.57573124 1.57573124\n", - " 1.57573124]\n", - " [-1.65101903 -1.65101903 -1.65101903 ... 0.23733265 0.23733265\n", - " 0.23733265]]\n" + " [13.48235132 13.48235132 13.48235132 ... 7.6545607 7.6545607\n", + " 7.6545607 ]\n", + " [13.65302444 13.65302444 13.65302444 ... 7.95132559 7.95132559\n", + " 7.95132559]\n", + " [13.82810021 13.82810021 13.82810021 ... 8.24832455 8.24832455\n", + " 8.24832455]]\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -421,7 +421,7 @@ "y = grid_2d[:,1]\n", "\n", "X, Y = np.meshgrid(x, y)\n", - "Z = np.sin(X**2) + np.cos(Y**2)\n", + "Z = np.sqrt((X**2) + (Y**2))\n", "\n", "\n", "print(Z)\n", @@ -429,7 +429,7 @@ "plt.figure(figsize=(10,10))\n", "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", "plt.legend()\n", - "plt.contour(x,y,Z, )\n", + "plt.contour(x,y,Z, levels=3)\n", "#plt.contourf(X,Y,Z, cmap='Reds')\n", "\n", "plt.show()" From 6c1ff2c5addfa224c72e8bb6f79e6c7c1258c420 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 6 Aug 2021 13:10:37 -0400 Subject: [PATCH 028/126] added contour plot, visualizes, but currently incorrect --- examples/plotting/2D_Plotting_Gradient.ipynb | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index b3c3f56a..38233fc4 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -378,7 +378,7 @@ }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 83, "metadata": {}, "outputs": [ { @@ -402,7 +402,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -429,7 +429,7 @@ "plt.figure(figsize=(10,10))\n", "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", "plt.legend()\n", - "plt.contour(x,y,Z, levels=3)\n", + "plt.contour(x,y,Z,)\n", "#plt.contourf(X,Y,Z, cmap='Reds')\n", "\n", "plt.show()" From 443fcdf8b7867b50423be6d8131d44b0d7d811b4 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 6 Aug 2021 13:22:58 -0400 Subject: [PATCH 029/126] added contour plot, visualizes, but currently incorrect --- examples/plotting/2D_Plotting_Gradient.ipynb | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index 38233fc4..7cf5c7ef 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -378,7 +378,7 @@ }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 85, "metadata": {}, "outputs": [ { @@ -429,7 +429,7 @@ "plt.figure(figsize=(10,10))\n", "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", "plt.legend()\n", - "plt.contour(x,y,Z,)\n", + "plt.contourf(X,Y,Z,)\n", "#plt.contourf(X,Y,Z, cmap='Reds')\n", "\n", "plt.show()" From b4e432370b930f076de7c70e8cb09fb430a79530 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 6 Aug 2021 19:42:35 -0400 Subject: [PATCH 030/126] REWRITTEN;USE THIS; includes atomic indicies, will include the annotations in next update --- examples/annotate/Annotate_2D.ipynb | 211 ++++++++++++++++++++++++++++ 1 file changed, 211 insertions(+) create mode 100644 examples/annotate/Annotate_2D.ipynb diff --git a/examples/annotate/Annotate_2D.ipynb b/examples/annotate/Annotate_2D.ipynb new file mode 100644 index 00000000..6f285db4 --- /dev/null +++ b/examples/annotate/Annotate_2D.ipynb @@ -0,0 +1,211 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 351, + "id": "3744a11c", + "metadata": {}, + "outputs": [], + "source": [ + "# import required libraries\n", + "from iodata import load_one, dump_one\n", + "\n", + "import numpy as np\n", + "\n", + "from rdkit import Chem\n", + "from rdkit.Chem import AllChem \n", + "from rdkit.Chem import Draw\n", + "from rdkit.Chem.Draw import rdMolDraw2D\n", + "from rdkit.Chem.Draw import MolToImage\n", + "from rdkit.Chem import rdMolTransforms \n", + "from rdkit.Chem import PeriodicTable\n", + "from rdkit.Chem import rdmolfiles\n", + "from rdkit.Chem.Draw import DrawingOptions\n", + "\n", + "from IPython.display import SVG\n", + "from IPython.display import Image\n", + "\n", + "from chemml.chem import Molecule\n", + "\n", + "import pandas as pd\n", + "\n", + "import glob\n", + "import os" + ] + }, + { + "cell_type": "code", + "execution_count": 352, + "id": "ee68d1a9", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Molecule Name : \n", + "dichloropyridine26_q+0\n", + " \n", + "Atomic Charges : \n", + " 0 1\n", + "0 mulliken [-0.179840292, -0.179847249, 0.0500282381, -0....\n", + "1 esp [-0.119822758, -0.119828567, -0.538243531, 0.2...\n", + "2 npa [0.0119189886, 0.0119124524, -0.490125807, -0....\n", + " \n", + "Charges, ESP : \n", + "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", + " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", + " \n", + "[17 17 7 6 6 6 6 6 1 1 1]\n" + ] + } + ], + "source": [ + "inputName = 'dichloropyridine26_q+0.fchk'\n", + "xyzName = 'dichloropyridine26_q+0.xyz'\n", + "molName = xyzName[:-4]\n", + "print(\"Molecule Name : \")\n", + "print(molName)\n", + "print(\" \")\n", + "\n", + "loadInput = load_one(inputName) \n", + "\n", + "q = pd.DataFrame.from_dict(loadInput.atcharges.items())\n", + "print(\"Atomic Charges : \")\n", + "print(q)\n", + "print(\" \")\n", + "\n", + "espCharges = q.iloc[1,1]\n", + "print(\"Charges, ESP : \")\n", + "print(espCharges)\n", + "print(\" \")\n", + "\n", + "\n", + "print(loadInput.atnums)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "57a9fcac", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 354, + "id": "22744f1d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[,\n", + " pybel_molecule : ,\n", + " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", + " smiles : 'Clc1cccc(Cl)n1',\n", + " smarts : None,\n", + " inchi : None,\n", + " xyz : )>]\n", + " Name SMILES\n", + "0 dichloropyridine26_q+0.xyz Clc1cccc(Cl)n1\n", + "Our Molecule in SMILES format: \n", + "Clc1cccc(Cl)n1\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "execution_count": 354, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dump_one(loadInput,xyzName )\n", + "xyz_files = glob.glob(xyzName)\n", + "\n", + "# make a list of ChemML Molecule object instances based on the names of the xyz files from xyz_files\n", + "molecule_list = [Molecule(xyzName, input_type='xyz') for file in xyz_files]\n", + "\n", + "# alter the ChemML Molecule object instances of molecule_list so that their SMILES codes can be recognzied by RDKit\n", + "for molecule in molecule_list:\n", + " molecule.to_smiles(kekuleSmiles=True)\n", + "\n", + "print(molecule_list)\n", + " \n", + "table = pd.DataFrame(data={'Name':xyzName, \n", + " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", + " columns=['Name','SMILES'])\n", + "\n", + "print(table)\n", + "\n", + "smiles = table.iloc[0,1]\n", + "print(\"Our Molecule in SMILES format: \")\n", + "print(smiles)\n", + "\n", + "chem = Chem.MolFromSmiles(smiles)\n", + "chemc = Chem.Mol(chem.ToBinary())\n", + "d = rdMolDraw2D.MolDraw2DCairo(500, 500)\n", + "rdMolDraw2D.PrepareAndDrawMolecule(d, chemc)\n", + "d.drawOptions().addStereoAnnotation = True\n", + "d.drawOptions().addAtomIndices = True\n", + "d.DrawMolecule(chemc)\n", + "d.FinishDrawing()\n", + "png = d.WriteDrawingText('molecule.png')\n", + "png\n", + "\n", + "Image(filename=\"molecule.png\")\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cb1be89f", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "30f95380", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:.conda-chemml_env] *", + "language": "python", + "name": "conda-env-.conda-chemml_env-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 28885a79a43164cb78dca4a5c493511e2a9ff74e Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 6 Aug 2021 23:36:33 -0400 Subject: [PATCH 031/126] rewrote, was able to annotate each atom with ESP charges, however, order of annotation is incorrect --- examples/annotate/Annotate_2D.ipynb | 142 +++++++++++++++++++++++----- 1 file changed, 120 insertions(+), 22 deletions(-) diff --git a/examples/annotate/Annotate_2D.ipynb b/examples/annotate/Annotate_2D.ipynb index 6f285db4..abdeaa6b 100644 --- a/examples/annotate/Annotate_2D.ipynb +++ b/examples/annotate/Annotate_2D.ipynb @@ -2,7 +2,15 @@ "cells": [ { "cell_type": "code", - "execution_count": 351, + "execution_count": null, + "id": "d2cc070f", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 30, "id": "3744a11c", "metadata": {}, "outputs": [], @@ -35,7 +43,15 @@ }, { "cell_type": "code", - "execution_count": 352, + "execution_count": null, + "id": "ba274774", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 31, "id": "ee68d1a9", "metadata": { "scrolled": true @@ -58,6 +74,7 @@ "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", " \n", + "Atomic Numbers : \n", "[17 17 7 6 6 6 6 6 1 1 1]\n" ] } @@ -82,22 +99,64 @@ "print(espCharges)\n", "print(\" \")\n", "\n", - "\n", - "print(loadInput.atnums)\n", - "\n" + "atomicNumbers = loadInput.atnums\n", + "print(\"Atomic Numbers : \")\n", + "print(atomicNumbers)\n" ] }, { "cell_type": "code", "execution_count": null, + "id": "18bbc46d", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 65, "id": "57a9fcac", "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[17, 17, 7, 6, 6, 6, 6, 6, 1, 1, 1]\n", + "[-0.119822758, -0.119828567, -0.538243531, 0.260573695, -0.453200648, -0.4532028, 0.499768812, 0.499772652, 0.0844758043, 0.16985231, 0.169855031]\n", + "{17: -0.1198, 7: -0.5382, 6: 0.4998, 1: 0.1699}\n" + ] + } + ], + "source": [ + "listAtomicNumbers = np.ndarray.tolist(atomicNumbers)\n", + "print(listAtomicNumbers)\n", + "\n", + "listChargesESP = np.ndarray.tolist(espCharges)\n", + "print(listChargesESP)\n", + "\n", + "atomChargeDict = {}\n", + "\n", + "for key in listAtomicNumbers: \n", + " for value in listChargesESP: \n", + " atomChargeDict[key] = np.round(float(value),4)\n", + " listChargesESP.remove(value)\n", + " \n", + " break\n", + "print(atomChargeDict)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0299c74d", + "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", - "execution_count": 354, + "execution_count": 33, "id": "22744f1d", "metadata": {}, "outputs": [ @@ -106,27 +165,31 @@ "output_type": "stream", "text": [ "[,\n", - " pybel_molecule : ,\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", " inchi : None,\n", " xyz : )>]\n", + " \n", + "\n", " Name SMILES\n", "0 dichloropyridine26_q+0.xyz Clc1cccc(Cl)n1\n", + " \n", "Our Molecule in SMILES format: \n", - "Clc1cccc(Cl)n1\n" + "Clc1cccc(Cl)n1\n", + " \n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "" ] }, - "execution_count": 354, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" } @@ -143,26 +206,34 @@ " molecule.to_smiles(kekuleSmiles=True)\n", "\n", "print(molecule_list)\n", - " \n", - "table = pd.DataFrame(data={'Name':xyzName, \n", + "\n", + "table = pd.DataFrame(data={'Name':xyzName, \n", " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", " columns=['Name','SMILES'])\n", "\n", + "print(\" \")\n", + "print(\"\")\n", "print(table)\n", "\n", + "print(\" \")\n", "smiles = table.iloc[0,1]\n", "print(\"Our Molecule in SMILES format: \")\n", "print(smiles)\n", + "print(\" \")\n", "\n", "chem = Chem.MolFromSmiles(smiles)\n", "chemc = Chem.Mol(chem.ToBinary())\n", - "d = rdMolDraw2D.MolDraw2DCairo(500, 500)\n", - "rdMolDraw2D.PrepareAndDrawMolecule(d, chemc)\n", - "d.drawOptions().addStereoAnnotation = True\n", - "d.drawOptions().addAtomIndices = True\n", - "d.DrawMolecule(chemc)\n", - "d.FinishDrawing()\n", - "png = d.WriteDrawingText('molecule.png')\n", + "for atom in chem.GetAtoms():\n", + " # For each atom, set the property \"atomNote\" to a index+1 of the atom\n", + " atom.SetProp(\"atomNote\", str(atom.GetIdx()+1))\n", + "drawMolecule = rdMolDraw2D.MolDraw2DCairo(500, 500)\n", + "rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chemc)\n", + "drawMolecule.drawOptions().addStereoAnnotation = True\n", + "#drawMolecule.drawOptions().addAtomIndices = True\n", + "#drawMolecule.drawOptions().addBondIndices = True\n", + "drawMolecule.DrawMolecule(chemc)\n", + "drawMolecule.FinishDrawing()\n", + "png = drawMolecule.WriteDrawingText('molecule.png')\n", "png\n", "\n", "Image(filename=\"molecule.png\")\n", @@ -172,16 +243,43 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 79, "id": "cb1be89f", "metadata": {}, + "outputs": [ + { + "ename": "SyntaxError", + "evalue": "invalid syntax (, line 7)", + "output_type": "error", + "traceback": [ + "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m7\u001b[0m\n\u001b[0;31m atom.SetProp(\"atomNote\", f{listAtomicNumbers[i],listChargesESP[i]})\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" + ] + } + ], + "source": [ + "chem2 = Chem.MolFromSmiles(smiles)\n", + "#listChargesESP = np.ndarray.tolist(espCharges)\n", + "\n", + "i = len(chem2.GetAtoms())\n", + "print(listChargesESP)\n", + "for i, atom in enumerate(chem2.GetAtoms()):\n", + " atom.SetProp(\"atomNote\", f\"{listAtomicNumbers[i],listChargesESP[i]}) \n", + " \n", + "chem2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "111db663", + "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, - "id": "30f95380", + "id": "3c08b4cd", "metadata": {}, "outputs": [], "source": [] From 8acea5f5d6d1cd7fb84b7ca2378c240b0e501266 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Sat, 7 Aug 2021 13:13:41 -0400 Subject: [PATCH 032/126] rewrote, was able to annotate each atom with ESP charges, however, order of annotation is incorrect --- examples/annotate/Annotate_2D.ipynb | 52 ++++++++++++++++++----------- 1 file changed, 32 insertions(+), 20 deletions(-) diff --git a/examples/annotate/Annotate_2D.ipynb b/examples/annotate/Annotate_2D.ipynb index abdeaa6b..871240d5 100644 --- a/examples/annotate/Annotate_2D.ipynb +++ b/examples/annotate/Annotate_2D.ipynb @@ -3,14 +3,14 @@ { "cell_type": "code", "execution_count": null, - "id": "d2cc070f", + "id": "4bd04376", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 85, "id": "3744a11c", "metadata": {}, "outputs": [], @@ -44,14 +44,14 @@ { "cell_type": "code", "execution_count": null, - "id": "ba274774", + "id": "ffe20013", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 86, "id": "ee68d1a9", "metadata": { "scrolled": true @@ -107,14 +107,14 @@ { "cell_type": "code", "execution_count": null, - "id": "18bbc46d", + "id": "91366bba", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 87, "id": "57a9fcac", "metadata": {}, "outputs": [ @@ -149,14 +149,14 @@ { "cell_type": "code", "execution_count": null, - "id": "0299c74d", + "id": "54f0a1e7", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 88, "id": "22744f1d", "metadata": {}, "outputs": [ @@ -165,8 +165,8 @@ "output_type": "stream", "text": [ "[,\n", - " pybel_molecule : ,\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", @@ -184,12 +184,12 @@ }, { "data": { - "image/png": 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\n", + "image/png": "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\n", "text/plain": [ "" ] }, - "execution_count": 33, + "execution_count": 88, "metadata": {}, "output_type": "execute_result" } @@ -226,7 +226,7 @@ "for atom in chem.GetAtoms():\n", " # For each atom, set the property \"atomNote\" to a index+1 of the atom\n", " atom.SetProp(\"atomNote\", str(atom.GetIdx()+1))\n", - "drawMolecule = rdMolDraw2D.MolDraw2DCairo(500, 500)\n", + "drawMolecule = rdMolDraw2D.MolDraw2DCairo(200, 200)\n", "rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chemc)\n", "drawMolecule.drawOptions().addStereoAnnotation = True\n", "#drawMolecule.drawOptions().addAtomIndices = True\n", @@ -243,16 +243,26 @@ }, { "cell_type": "code", - "execution_count": 79, + "execution_count": 97, "id": "cb1be89f", "metadata": {}, "outputs": [ { - "ename": "SyntaxError", - "evalue": "invalid syntax (, line 7)", + "name": "stdout", + "output_type": "stream", + "text": [ + "[]\n" + ] + }, + { + "ename": "IndexError", + "evalue": "list index out of range", "output_type": "error", "traceback": [ - "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m7\u001b[0m\n\u001b[0;31m atom.SetProp(\"atomNote\", f{listAtomicNumbers[i],listChargesESP[i]})\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mIndexError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlistChargesESP\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0matom\u001b[0m \u001b[0;32min\u001b[0m \u001b[0menumerate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mchem2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mGetAtoms\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m \u001b[0matom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mSetProp\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"atomNote\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34mf\"{listAtomicNumbers[i],np.round(float(listChargesESP[i]),3)}\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[0mchem2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mIndexError\u001b[0m: list index out of range" ] } ], @@ -263,9 +273,11 @@ "i = len(chem2.GetAtoms())\n", "print(listChargesESP)\n", "for i, atom in enumerate(chem2.GetAtoms()):\n", - " atom.SetProp(\"atomNote\", f\"{listAtomicNumbers[i],listChargesESP[i]}) \n", + " atom.SetProp(\"atomNote\", f\"{listAtomicNumbers[i],np.round(float(listChargesESP[i]),3)}\") \n", " \n", - "chem2" + "chem2\n", + "chem2 = drawMolecule.WriteDrawingText('molecule2.png')\n", + "Image(filename=\"molecule2.png\")\n" ] }, { @@ -279,7 +291,7 @@ { "cell_type": "code", "execution_count": null, - "id": "3c08b4cd", + "id": "56c53844", "metadata": {}, "outputs": [], "source": [] From cdffb685ab6dfbd56f41ca6ac5655ca3b18c90bb Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Sat, 7 Aug 2021 13:15:06 -0400 Subject: [PATCH 033/126] rewrote, was able to annotate each atom with ESP charges, however, order of annotation is incorrect --- examples/annotate/Annotate_2D.ipynb | 37 ++++++++++++++--------------- 1 file changed, 18 insertions(+), 19 deletions(-) diff --git a/examples/annotate/Annotate_2D.ipynb b/examples/annotate/Annotate_2D.ipynb index 871240d5..494a58d4 100644 --- a/examples/annotate/Annotate_2D.ipynb +++ b/examples/annotate/Annotate_2D.ipynb @@ -3,7 +3,7 @@ { "cell_type": "code", "execution_count": null, - "id": "4bd04376", + "id": "89b8ed74", "metadata": {}, "outputs": [], "source": [] @@ -44,7 +44,7 @@ { "cell_type": "code", "execution_count": null, - "id": "ffe20013", + "id": "ce5a1162", "metadata": {}, "outputs": [], "source": [] @@ -107,7 +107,7 @@ { "cell_type": "code", "execution_count": null, - "id": "91366bba", + "id": "b82e588e", "metadata": {}, "outputs": [], "source": [] @@ -149,7 +149,7 @@ { "cell_type": "code", "execution_count": null, - "id": "54f0a1e7", + "id": "3bfaf298", "metadata": {}, "outputs": [], "source": [] @@ -243,7 +243,7 @@ }, { "cell_type": "code", - "execution_count": 97, + "execution_count": 101, "id": "cb1be89f", "metadata": {}, "outputs": [ @@ -251,24 +251,24 @@ "name": "stdout", "output_type": "stream", "text": [ - "[]\n" + "[-0.119822758, -0.119828567, -0.538243531, 0.260573695, -0.453200648, -0.4532028, 0.499768812, 0.499772652, 0.0844758043, 0.16985231, 0.169855031]\n" ] }, { - "ename": "IndexError", - "evalue": "list index out of range", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mIndexError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlistChargesESP\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0matom\u001b[0m \u001b[0;32min\u001b[0m \u001b[0menumerate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mchem2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mGetAtoms\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m \u001b[0matom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mSetProp\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"atomNote\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34mf\"{listAtomicNumbers[i],np.round(float(listChargesESP[i]),3)}\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[0mchem2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mIndexError\u001b[0m: list index out of range" - ] + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "execution_count": 101, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ "chem2 = Chem.MolFromSmiles(smiles)\n", - "#listChargesESP = np.ndarray.tolist(espCharges)\n", + "listChargesESP = np.ndarray.tolist(espCharges)\n", "\n", "i = len(chem2.GetAtoms())\n", "print(listChargesESP)\n", @@ -276,8 +276,7 @@ " atom.SetProp(\"atomNote\", f\"{listAtomicNumbers[i],np.round(float(listChargesESP[i]),3)}\") \n", " \n", "chem2\n", - "chem2 = drawMolecule.WriteDrawingText('molecule2.png')\n", - "Image(filename=\"molecule2.png\")\n" + "\n" ] }, { @@ -291,7 +290,7 @@ { "cell_type": "code", "execution_count": null, - "id": "56c53844", + "id": "a6c0ab01", "metadata": {}, "outputs": [], "source": [] From 98df7f619842581f643ceb79989c2ea681c7a6a8 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Sat, 7 Aug 2021 21:14:56 -0400 Subject: [PATCH 034/126] disordered number:charge pair and location with index --- examples/annotate/Annotate_2D.ipynb | 140 ++++++++++++++++++---------- 1 file changed, 90 insertions(+), 50 deletions(-) diff --git a/examples/annotate/Annotate_2D.ipynb b/examples/annotate/Annotate_2D.ipynb index 494a58d4..110c5594 100644 --- a/examples/annotate/Annotate_2D.ipynb +++ b/examples/annotate/Annotate_2D.ipynb @@ -3,14 +3,14 @@ { "cell_type": "code", "execution_count": null, - "id": "89b8ed74", + "id": "22495f27", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 1, "id": "3744a11c", "metadata": {}, "outputs": [], @@ -44,14 +44,14 @@ { "cell_type": "code", "execution_count": null, - "id": "ce5a1162", + "id": "c628ef68", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 21, "id": "ee68d1a9", "metadata": { "scrolled": true @@ -64,19 +64,27 @@ "Molecule Name : \n", "dichloropyridine26_q+0\n", " \n", - "Atomic Charges : \n", - " 0 1\n", - "0 mulliken [-0.179840292, -0.179847249, 0.0500282381, -0....\n", - "1 esp [-0.119822758, -0.119828567, -0.538243531, 0.2...\n", - "2 npa [0.0119189886, 0.0119124524, -0.490125807, -0....\n", - " \n", - "Charges, ESP : \n", + "{'mulliken': array([-0.17984029, -0.17984725, 0.05002824, -0.04091242, 2.02394948,\n", + " 2.0239583 , -0.86473324, -0.86474131, -0.67554864, -0.64615815,\n", + " -0.64615473]), 'esp': array([-0.11982276, -0.11982857, -0.53824353, 0.26057369, -0.45320065,\n", + " -0.4532028 , 0.49976881, 0.49977265, 0.0844758 , 0.16985231,\n", + " 0.16985503]), 'npa': array([ 0.01191899, 0.01191245, -0.49012581, -0.1689309 , -0.27573862,\n", + " -0.2757388 , 0.21524212, 0.21524428, 0.24472353, 0.25574567,\n", + " 0.25574709])}\n", "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", - " \n", - "Atomic Numbers : \n", "[17 17 7 6 6 6 6 6 1 1 1]\n" ] + }, + { + "data": { + "text/plain": [ + "'\\nfor i,key in numbers: \\n testDict = {espCharges[i]:key}\\nprint(testDict)\\n\\n'" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -89,46 +97,49 @@ "\n", "loadInput = load_one(inputName) \n", "\n", - "q = pd.DataFrame.from_dict(loadInput.atcharges.items())\n", - "print(\"Atomic Charges : \")\n", - "print(q)\n", - "print(\" \")\n", + "chargeDict = loadInput.atcharges\n", + "print(chargeDict)\n", "\n", - "espCharges = q.iloc[1,1]\n", - "print(\"Charges, ESP : \")\n", - "print(espCharges)\n", - "print(\" \")\n", + "espCharges = chargeDict['esp'][:]\n", + "print(espCharges) \n", "\n", - "atomicNumbers = loadInput.atnums\n", - "print(\"Atomic Numbers : \")\n", - "print(atomicNumbers)\n" + "numbers = loadInput.atnums\n", + "print(numbers)\n", + "'''\n", + "for i,key in numbers: \n", + " testDict = {espCharges[i]:key}\n", + "print(testDict)\n", + "\n", + "'''" ] }, { "cell_type": "code", "execution_count": null, - "id": "b82e588e", + "id": "307b2851", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 14, "id": "57a9fcac", "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "[17, 17, 7, 6, 6, 6, 6, 6, 1, 1, 1]\n", - "[-0.119822758, -0.119828567, -0.538243531, 0.260573695, -0.453200648, -0.4532028, 0.499768812, 0.499772652, 0.0844758043, 0.16985231, 0.169855031]\n", - "{17: -0.1198, 7: -0.5382, 6: 0.4998, 1: 0.1699}\n" - ] + "data": { + "text/plain": [ + "'\\nlistAtomicNumbers = np.ndarray.tolist(atomicNumbers)\\nprint(listAtomicNumbers)\\n\\nlistChargesESP = np.ndarray.tolist(espCharges)\\nprint(listChargesESP)\\n\\natomChargeDict = {}\\n\\nfor key in listAtomicNumbers: \\n for value in listChargesESP: \\n atomChargeDict[key] = np.round(float(value),4)\\n listChargesESP.remove(value)\\n break\\nprint(atomChargeDict)\\n'" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ + "'''\n", "listAtomicNumbers = np.ndarray.tolist(atomicNumbers)\n", "print(listAtomicNumbers)\n", "\n", @@ -141,22 +152,22 @@ " for value in listChargesESP: \n", " atomChargeDict[key] = np.round(float(value),4)\n", " listChargesESP.remove(value)\n", - " \n", " break\n", - "print(atomChargeDict)\n" + "print(atomChargeDict)\n", + "'''\n" ] }, { "cell_type": "code", "execution_count": null, - "id": "3bfaf298", + "id": "bee3bf5e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 15, "id": "22744f1d", "metadata": {}, "outputs": [ @@ -165,8 +176,8 @@ "output_type": "stream", "text": [ "[,\n", - " pybel_molecule : ,\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", @@ -189,7 +200,7 @@ "" ] }, - "execution_count": 88, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -243,7 +254,7 @@ }, { "cell_type": "code", - "execution_count": 101, + "execution_count": 30, "id": "cb1be89f", "metadata": {}, "outputs": [ @@ -251,17 +262,19 @@ "name": "stdout", "output_type": "stream", "text": [ - "[-0.119822758, -0.119828567, -0.538243531, 0.260573695, -0.453200648, -0.4532028, 0.499768812, 0.499772652, 0.0844758043, 0.16985231, 0.169855031]\n" + "[17 17 7 6 6 6 6 6 1 1 1]\n", + "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", + " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, - "execution_count": 101, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } @@ -269,12 +282,13 @@ "source": [ "chem2 = Chem.MolFromSmiles(smiles)\n", "listChargesESP = np.ndarray.tolist(espCharges)\n", + " \n", + "print(numbers)\n", + "print(espCharges)\n", "\n", - "i = len(chem2.GetAtoms())\n", - "print(listChargesESP)\n", "for i, atom in enumerate(chem2.GetAtoms()):\n", - " atom.SetProp(\"atomNote\", f\"{listAtomicNumbers[i],np.round(float(listChargesESP[i]),3)}\") \n", - " \n", + " atom.SetProp(\"atomNote\", f\"{numbers[i],np.round(float(espCharges[i]),3)}\") \n", + "\n", "chem2\n", "\n" ] @@ -290,10 +304,36 @@ { "cell_type": "code", "execution_count": null, - "id": "a6c0ab01", + "id": "1432506b", "metadata": {}, "outputs": [], - "source": [] + "source": [ + "'''\n", + "\n", + "for item in loadInput.atcharges[\"esp\"]:\n", + " key = loadInput.atnums\n", + " listCharge = item\n", + " print(listCharge)\n", + " \n", + "for number in loadInput.atnums: \n", + " print(number)\n", + " \n", + "\n", + "q = pd.DataFrame.from_dict(loadInput.atcharges.items())\n", + "print(\"Atomic Charges : \")\n", + "print(q)\n", + "print(\" \")\n", + "\n", + "espCharges = q.iloc[1,1]\n", + "print(\"Charges, ESP : \")\n", + "print(espCharges)\n", + "print(\" \")\n", + "\n", + "atomicNumbers = loadInput.atnums\n", + "print(\"Atomic Numbers : \")\n", + "print(atomicNumbers)\n", + "'''" + ] } ], "metadata": { From 69127fff789cbcbf66229dc9a92e6fabd4329ac5 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Sun, 8 Aug 2021 16:40:36 -0400 Subject: [PATCH 035/126] add 3d visualization ipynb; replaced method of obtaining esp --- examples/annotate/Annotate_2D.ipynb | 179 ++++++++++------------- examples/annotate/Annotate_3D.ipynb | 213 ++++++++++++++++++++++++++++ 2 files changed, 289 insertions(+), 103 deletions(-) create mode 100644 examples/annotate/Annotate_3D.ipynb diff --git a/examples/annotate/Annotate_2D.ipynb b/examples/annotate/Annotate_2D.ipynb index 110c5594..b469aca8 100644 --- a/examples/annotate/Annotate_2D.ipynb +++ b/examples/annotate/Annotate_2D.ipynb @@ -1,12 +1,16 @@ { "cells": [ { - "cell_type": "code", - "execution_count": null, - "id": "22495f27", + "cell_type": "markdown", + "id": "415389d5", "metadata": {}, - "outputs": [], - "source": [] + "source": [ + "# 2D Annotations of Molecules \n", + "\n", + "## Introduction\n", + "\n", + "## Dependencies" + ] }, { "cell_type": "code", @@ -33,6 +37,8 @@ "from IPython.display import SVG\n", "from IPython.display import Image\n", "\n", + "from collections import OrderedDict\n", + "\n", "from chemml.chem import Molecule\n", "\n", "import pandas as pd\n", @@ -42,16 +48,16 @@ ] }, { - "cell_type": "code", - "execution_count": null, - "id": "c628ef68", + "cell_type": "markdown", + "id": "055a3b9c", "metadata": {}, - "outputs": [], - "source": [] + "source": [ + "## Manipulation of Input and Extraction of Charges " + ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 2, "id": "ee68d1a9", "metadata": { "scrolled": true @@ -72,19 +78,8 @@ " -0.2757388 , 0.21524212, 0.21524428, 0.24472353, 0.25574567,\n", " 0.25574709])}\n", "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", - " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", - "[17 17 7 6 6 6 6 6 1 1 1]\n" + " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n" ] - }, - { - "data": { - "text/plain": [ - "'\\nfor i,key in numbers: \\n testDict = {espCharges[i]:key}\\nprint(testDict)\\n\\n'" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" } ], "source": [ @@ -96,78 +91,25 @@ "print(\" \")\n", "\n", "loadInput = load_one(inputName) \n", - "\n", - "chargeDict = loadInput.atcharges\n", + "numbers = np.ndarray.tolist(loadInput.atnums)\n", + "chargeDict = (loadInput.atcharges)\n", "print(chargeDict)\n", - "\n", - "espCharges = chargeDict['esp'][:]\n", - "print(espCharges) \n", - "\n", - "numbers = loadInput.atnums\n", - "print(numbers)\n", - "'''\n", - "for i,key in numbers: \n", - " testDict = {espCharges[i]:key}\n", - "print(testDict)\n", - "\n", - "'''" + "espCharges = (chargeDict['esp'][:])\n", + "print(espCharges)\n", + "\n" ] }, { - "cell_type": "code", - "execution_count": null, - "id": "307b2851", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "57a9fcac", + "cell_type": "markdown", + "id": "9fb5b251", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'\\nlistAtomicNumbers = np.ndarray.tolist(atomicNumbers)\\nprint(listAtomicNumbers)\\n\\nlistChargesESP = np.ndarray.tolist(espCharges)\\nprint(listChargesESP)\\n\\natomChargeDict = {}\\n\\nfor key in listAtomicNumbers: \\n for value in listChargesESP: \\n atomChargeDict[key] = np.round(float(value),4)\\n listChargesESP.remove(value)\\n break\\nprint(atomChargeDict)\\n'" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], "source": [ - "'''\n", - "listAtomicNumbers = np.ndarray.tolist(atomicNumbers)\n", - "print(listAtomicNumbers)\n", - "\n", - "listChargesESP = np.ndarray.tolist(espCharges)\n", - "print(listChargesESP)\n", - "\n", - "atomChargeDict = {}\n", - "\n", - "for key in listAtomicNumbers: \n", - " for value in listChargesESP: \n", - " atomChargeDict[key] = np.round(float(value),4)\n", - " listChargesESP.remove(value)\n", - " break\n", - "print(atomChargeDict)\n", - "'''\n" + "## Manipualt" ] }, { "cell_type": "code", - "execution_count": null, - "id": "bee3bf5e", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 15, + "execution_count": 3, "id": "22744f1d", "metadata": {}, "outputs": [ @@ -176,8 +118,8 @@ "output_type": "stream", "text": [ "[,\n", - " pybel_molecule : ,\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", @@ -195,12 +137,12 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "" ] }, - "execution_count": 15, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -234,10 +176,8 @@ "\n", "chem = Chem.MolFromSmiles(smiles)\n", "chemc = Chem.Mol(chem.ToBinary())\n", - "for atom in chem.GetAtoms():\n", - " # For each atom, set the property \"atomNote\" to a index+1 of the atom\n", - " atom.SetProp(\"atomNote\", str(atom.GetIdx()+1))\n", - "drawMolecule = rdMolDraw2D.MolDraw2DCairo(200, 200)\n", + "\n", + "drawMolecule = rdMolDraw2D.MolDraw2DCairo(300, 300)\n", "rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chemc)\n", "drawMolecule.drawOptions().addStereoAnnotation = True\n", "#drawMolecule.drawOptions().addAtomIndices = True\n", @@ -254,7 +194,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 9, "id": "cb1be89f", "metadata": {}, "outputs": [ @@ -262,34 +202,42 @@ "name": "stdout", "output_type": "stream", "text": [ - "[17 17 7 6 6 6 6 6 1 1 1]\n", + "[17, 17, 7, 6, 6, 6, 6, 6, 1, 1, 1]\n", + "\n", "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", - " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n" + " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", + "test\n", + "7\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, - "execution_count": 30, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "chem2 = Chem.MolFromSmiles(smiles)\n", - "listChargesESP = np.ndarray.tolist(espCharges)\n", + "#listChargesESP = np.ndarray.tolist(espCharges)\n", " \n", "print(numbers)\n", + "print()\n", "print(espCharges)\n", "\n", "for i, atom in enumerate(chem2.GetAtoms()):\n", - " atom.SetProp(\"atomNote\", f\"{numbers[i],np.round(float(espCharges[i]),3)}\") \n", - "\n", + " #atom.SetProp(\"atomNote\",f\"{espCharges[i]}\")\n", + " if atom.GetAtomicNum() == 7:\n", + " print('test')\n", + " print(atom.GetAtomicNum())\n", + " atom.SetProp(\"atomNote\", f\"{np.round(float(espCharges[i]),3)}\") \n", "chem2\n", + "\n", "\n" ] }, @@ -332,8 +280,33 @@ "atomicNumbers = loadInput.atnums\n", "print(\"Atomic Numbers : \")\n", "print(atomicNumbers)\n", - "'''" + "'''\n", + "\n", + "'''\n", + "listAtomicNumbers = np.ndarray.tolist(atomicNumbers)\n", + "print(listAtomicNumbers)\n", + "\n", + "listChargesESP = np.ndarray.tolist(espCharges)\n", + "print(listChargesESP)\n", + "\n", + "atomChargeDict = {}\n", + "\n", + "for key in listAtomicNumbers: \n", + " for value in listChargesESP: \n", + " atomChargeDict[key] = np.round(float(value),4)\n", + " listChargesESP.remove(value)\n", + " break\n", + "print(atomChargeDict)\n", + "'''\n" ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8a5c1c12", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/examples/annotate/Annotate_3D.ipynb b/examples/annotate/Annotate_3D.ipynb new file mode 100644 index 00000000..75e3cfa5 --- /dev/null +++ b/examples/annotate/Annotate_3D.ipynb @@ -0,0 +1,213 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 18, + "id": "59d34704", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2021.03.4\n", + "Sat Aug 7 23:16:19 2021\n" + ] + } + ], + "source": [ + "from iodata import load_one, dump_one \n", + "\n", + "from rdkit import Chem\n", + "from rdkit.Chem import AllChem\n", + "from rdkit.Chem import Draw\n", + "from rdkit.Chem.Draw import IPythonConsole\n", + "\n", + "from ipywidgets import interact, interactive, fixed\n", + "\n", + "from chemml.chem import Molecule\n", + "\n", + "\n", + "from rdkit import rdBase\n", + "print(rdBase.rdkitVersion)\n", + "import os,time\n", + "print( time.asctime())\n", + "import py3Dmol\n", + "\n", + "import glob,os\n", + "\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "5b662217", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[,\n", + " pybel_molecule : ,\n", + " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", + " smiles : 'Clc1cccc(Cl)n1',\n", + " smarts : None,\n", + " inchi : None,\n", + " xyz : )>]\n", + " \n", + "\n", + " Name SMILES\n", + "0 dichloropyridine26_q+0.xyz Clc1cccc(Cl)n1\n", + " \n", + "Our Molecule in SMILES format: \n", + "Clc1cccc(Cl)n1\n" + ] + }, + { + "data": { + "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", + "text/html": [ + "
\n", + "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", + " jupyter labextension install jupyterlab_3dmol

\n", + "
\n", + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + } + ], + "source": [ + "loadInput = load_one('dichloropyridine26_q+0.fchk')\n", + "xyzName = 'dichloropyridine26_q+0.xyz' \n", + "dump_one(loadInput, 'dichloropyridine26_q+0.xyz')\n", + "xyz_files = glob.glob(xyzName)\n", + "\n", + "# make a list of ChemML Molecule object instances based on the names of the xyz files from xyz_files\n", + "molecule_list = [Molecule(xyzName, input_type='xyz') for file in xyz_files]\n", + "\n", + "# alter the ChemML Molecule object instances of molecule_list so that their SMILES codes can be recognzied by RDKit\n", + "for molecule in molecule_list:\n", + " molecule.to_smiles(kekuleSmiles=True)\n", + "\n", + "print(molecule_list)\n", + "\n", + "table = pd.DataFrame(data={'Name':xyzName, \n", + " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", + " columns=['Name','SMILES'])\n", + "\n", + "print(\" \")\n", + "print(\"\")\n", + "print(table)\n", + "\n", + "def Visualize3D(mol, size=(300,300), style='sphere', surface=False, backgroundColor='#000000'):\n", + " molBlock = Chem.MolToMolBlock(mol) \n", + " \n", + " \n", + " view = py3Dmol.view(width=size[0], height=size[1])\n", + " view.addModel(molBlock, 'mol')\n", + " view.setStyle({style:{'backgroundColor':'#000000'}})\n", + " view.zoomTo()\n", + " return view\n", + "\n", + "def SmilesSetup(smiles): \n", + " mol = Chem.MolFromSmiles(smiles)\n", + " if mol is not None: \n", + " mol = Chem.AddHs(mol)\n", + " AllChem.EmbedMolecule(mol)\n", + " AllChem.MMFFOptimizeMolecule(mol,maxIters=250)\n", + " for atom in mol.GetAtoms():\n", + " atom.SetProp(\"atomNote\", str(atom.GetIdx()+1))\n", + " return mol\n", + " else:\n", + " return None \n", + " \n", + "print(\" \")\n", + "smiles = table.iloc[0,1]\n", + "print(\"Our Molecule in SMILES format: \")\n", + "print(smiles)\n", + "\n", + "molProcessed = SmilesSetup(smiles)\n", + "\n", + "view = Visualize3D(molProcessed,size=(500,500), style='stick', surface=True)\n", + "view.show()\n", + "\n", + "print(\" \")\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0bf6f306", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:.conda-chemml_env] *", + "language": "python", + "name": "conda-env-.conda-chemml_env-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 30e0c4a3e0e284bbdbea8578daad32a69eab7f94 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Sun, 8 Aug 2021 22:42:34 -0400 Subject: [PATCH 036/126] still errors with ascribing correct values to atoms --- examples/annotate/Annotate_2D.ipynb | 152 +++++++++++++++++++++------- examples/annotate/Annotate_3D.ipynb | 57 +++++++---- examples/esp/visualize.py | 11 +- 3 files changed, 157 insertions(+), 63 deletions(-) diff --git a/examples/annotate/Annotate_2D.ipynb b/examples/annotate/Annotate_2D.ipynb index b469aca8..2025a236 100644 --- a/examples/annotate/Annotate_2D.ipynb +++ b/examples/annotate/Annotate_2D.ipynb @@ -9,12 +9,20 @@ "\n", "## Introduction\n", "\n", - "## Dependencies" + "## Dependencies\n", + "1. IOData\n", + "2. Numpy\n", + "3. RDKit\n", + "4. Collections\n", + "5. CHEMML \n", + "6. Pandas\n", + "7. Glob \n", + "8. OS \n" ] }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 10, "id": "3744a11c", "metadata": {}, "outputs": [], @@ -52,12 +60,14 @@ "id": "055a3b9c", "metadata": {}, "source": [ - "## Manipulation of Input and Extraction of Charges " + "## Manipulation of Input and Extraction of Charges \n", + "\n", + "We first want to open our file using IOData, designated `loadInput`, from then we can extract informations related to the `.fchk` file using IOData to annotate our molecule" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 20, "id": "ee68d1a9", "metadata": { "scrolled": true @@ -69,33 +79,22 @@ "text": [ "Molecule Name : \n", "dichloropyridine26_q+0\n", - " \n", - "{'mulliken': array([-0.17984029, -0.17984725, 0.05002824, -0.04091242, 2.02394948,\n", - " 2.0239583 , -0.86473324, -0.86474131, -0.67554864, -0.64615815,\n", - " -0.64615473]), 'esp': array([-0.11982276, -0.11982857, -0.53824353, 0.26057369, -0.45320065,\n", - " -0.4532028 , 0.49976881, 0.49977265, 0.0844758 , 0.16985231,\n", - " 0.16985503]), 'npa': array([ 0.01191899, 0.01191245, -0.49012581, -0.1689309 , -0.27573862,\n", - " -0.2757388 , 0.21524212, 0.21524428, 0.24472353, 0.25574567,\n", - " 0.25574709])}\n", - "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", - " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n" + " \n" ] } ], "source": [ "inputName = 'dichloropyridine26_q+0.fchk'\n", + "loadInput = load_one(inputName) \n", + "\n", "xyzName = 'dichloropyridine26_q+0.xyz'\n", + "\n", "molName = xyzName[:-4]\n", + "\n", + "\n", "print(\"Molecule Name : \")\n", "print(molName)\n", "print(\" \")\n", - "\n", - "loadInput = load_one(inputName) \n", - "numbers = np.ndarray.tolist(loadInput.atnums)\n", - "chargeDict = (loadInput.atcharges)\n", - "print(chargeDict)\n", - "espCharges = (chargeDict['esp'][:])\n", - "print(espCharges)\n", "\n" ] }, @@ -104,12 +103,19 @@ "id": "9fb5b251", "metadata": {}, "source": [ - "## Manipualt" + "## Manipulate Molecule to Create MOL Object\n", + "We need to dump our IOData loaded molecule into an `.xyz` file, which can then be parsed using `CHEMML`, to create a data table containing basic information such as filename, XYZ Cartesian Coordinates, and the SMILES equivalent of the molecule.\n", + "\n", + "We can then extract the SMILES string and convert into MOL Format for processing by RDKit. \n", + "\n", + "We can then use a series of commands `drawMolecule.*` to generate a visualization of our molecule. \n", + "\n", + "The below image is RDKit visualization without annotations. " ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 21, "id": "22744f1d", "metadata": {}, "outputs": [ @@ -118,8 +124,8 @@ "output_type": "stream", "text": [ "[,\n", - " pybel_molecule : ,\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", @@ -142,7 +148,7 @@ "" ] }, - "execution_count": 3, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } @@ -192,9 +198,20 @@ "\n" ] }, + { + "cell_type": "markdown", + "id": "a6bf61ec", + "metadata": {}, + "source": [ + "## Annotations\n", + "We now want to retrieve IOData information, and add it to our visualization by appending the information to the MOL Object. \n", + "\n", + "In this context, we are outputting atomic number and electrostatic potential charges. \n" + ] + }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 82, "id": "cb1be89f", "metadata": {}, "outputs": [ @@ -202,22 +219,50 @@ "name": "stdout", "output_type": "stream", "text": [ + "IOData Retrieved Charges, Bulk : \n", + "{'mulliken': array([-0.17984029, -0.17984725, 0.05002824, -0.04091242, 2.02394948,\n", + " 2.0239583 , -0.86473324, -0.86474131, -0.67554864, -0.64615815,\n", + " -0.64615473]), 'esp': array([-0.11982276, -0.11982857, -0.53824353, 0.26057369, -0.45320065,\n", + " -0.4532028 , 0.49976881, 0.49977265, 0.0844758 , 0.16985231,\n", + " 0.16985503]), 'npa': array([ 0.01191899, 0.01191245, -0.49012581, -0.1689309 , -0.27573862,\n", + " -0.2757388 , 0.21524212, 0.21524428, 0.24472353, 0.25574567,\n", + " 0.25574709])}\n", + " \n", + "IOData Retrieved Atomic Numbers : \n", "[17, 17, 7, 6, 6, 6, 6, 6, 1, 1, 1]\n", - "\n", + " \n", + " IOData Retrieved ESP Charges : \n", "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", + " \n", + "test\n", + "6\n", + "test\n", + "6\n", + "test\n", + "6\n", + "test\n", + "17\n", + "test\n", + "17\n", + "test\n", + "17\n", + "test\n", + "17\n", + "test\n", + "17\n", "test\n", "7\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, - "execution_count": 9, + "execution_count": 82, "metadata": {}, "output_type": "execute_result" } @@ -226,16 +271,36 @@ "chem2 = Chem.MolFromSmiles(smiles)\n", "#listChargesESP = np.ndarray.tolist(espCharges)\n", " \n", + "\n", + "\n", + "numbers = np.ndarray.tolist(loadInput.atnums)\n", + "print(\"IOData Retrieved Charges, Bulk : \")\n", + "chargeDict = (loadInput.atcharges)\n", + "print(chargeDict)\n", + "\n", + "espCharges = (chargeDict['esp'][:])\n", + "print(\" \")\n", + "print(\"IOData Retrieved Atomic Numbers : \")\n", "print(numbers)\n", - "print()\n", + "\n", + "print(\" \")\n", + "print(\" IOData Retrieved ESP Charges : \")\n", "print(espCharges)\n", + "print(\" \")\n", "\n", + "for number in numbers: \n", + " for charge in espCharges: \n", + " dict = {number:np.round(float(charge),3)}\n", + " dict = OrderedDict(dict)\n", + " \n", + " \n", "for i, atom in enumerate(chem2.GetAtoms()):\n", " #atom.SetProp(\"atomNote\",f\"{espCharges[i]}\")\n", - " if atom.GetAtomicNum() == 7:\n", - " print('test')\n", - " print(atom.GetAtomicNum())\n", - " atom.SetProp(\"atomNote\", f\"{np.round(float(espCharges[i]),3)}\") \n", + " for entry in numbers:\n", + " if entry == i: \n", + " print('test')\n", + " print(atom.GetAtomicNum())\n", + " atom.SetProp(\"atomNote\", f\"{numbers[i],np.round(float(espCharges[i]),3)}\") \n", "chem2\n", "\n", "\n" @@ -251,10 +316,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "id": "1432506b", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "'\\nlistAtomicNumbers = np.ndarray.tolist(atomicNumbers)\\nprint(listAtomicNumbers)\\n\\nlistChargesESP = np.ndarray.tolist(espCharges)\\nprint(listChargesESP)\\n\\natomChargeDict = {}\\n\\nfor key in listAtomicNumbers: \\n for value in listChargesESP: \\n atomChargeDict[key] = np.round(float(value),4)\\n listChargesESP.remove(value)\\n break\\nprint(atomChargeDict)\\n'" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "'''\n", "\n", diff --git a/examples/annotate/Annotate_3D.ipynb b/examples/annotate/Annotate_3D.ipynb index 75e3cfa5..c1fde48a 100644 --- a/examples/annotate/Annotate_3D.ipynb +++ b/examples/annotate/Annotate_3D.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 18, + "execution_count": 58, "id": "59d34704", "metadata": {}, "outputs": [ @@ -11,7 +11,7 @@ "output_type": "stream", "text": [ "2021.03.4\n", - "Sat Aug 7 23:16:19 2021\n" + "Sun Aug 8 16:45:26 2021\n" ] } ], @@ -41,7 +41,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 70, "id": "5b662217", "metadata": {}, "outputs": [ @@ -50,8 +50,8 @@ "output_type": "stream", "text": [ "[,\n", - " pybel_molecule : ,\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", @@ -68,10 +68,10 @@ }, { "data": { - "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", + "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", "text/html": [ - "
\n", - "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", + "

\n", + "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", " jupyter labextension install jupyterlab_3dmol

\n", "
\n", "" ] @@ -146,8 +146,6 @@ "\n", "def Visualize3D(mol, size=(300,300), style='sphere', surface=False, backgroundColor='#000000'):\n", " molBlock = Chem.MolToMolBlock(mol) \n", - " \n", - " \n", " view = py3Dmol.view(width=size[0], height=size[1])\n", " view.addModel(molBlock, 'mol')\n", " view.setStyle({style:{'backgroundColor':'#000000'}})\n", @@ -159,9 +157,8 @@ " if mol is not None: \n", " mol = Chem.AddHs(mol)\n", " AllChem.EmbedMolecule(mol)\n", - " AllChem.MMFFOptimizeMolecule(mol,maxIters=250)\n", " for atom in mol.GetAtoms():\n", - " atom.SetProp(\"atomNote\", str(atom.GetIdx()+1))\n", + " atom.SetProp(\"atomNote\", str(atom.GetIdx()))\n", " return mol\n", " else:\n", " return None \n", @@ -172,8 +169,12 @@ "print(smiles)\n", "\n", "molProcessed = SmilesSetup(smiles)\n", + "for atom in molProcessed.GetAtoms():\n", + " atom.SetProp(\"atomNote\", str(atom.GetIdx()))\n", "\n", "view = Visualize3D(molProcessed,size=(500,500), style='stick', surface=True)\n", + "\n", + " \n", "view.show()\n", "\n", "print(\" \")\n", @@ -187,6 +188,22 @@ "metadata": {}, "outputs": [], "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f6ec1b7a", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c5b726bb", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/examples/esp/visualize.py b/examples/esp/visualize.py index 10b2fa61..79db3cb5 100644 --- a/examples/esp/visualize.py +++ b/examples/esp/visualize.py @@ -1,6 +1,5 @@ from chimerax.core.commands import run from chimerax.core import errors - # END MODULES """ INSTALLATION OF CHIMERAX @@ -23,17 +22,20 @@ CURRENTLY THE INPUT *_esp.cube and *_rho.cube inputs, ISOSURFACE LEVELS, AND OUTPUT FILENAMES ARE HARD CODED """ - +import chimerax.surface def VisualizeMolecule(session): - + from chimerax.map import Volume,VolumeSurface + + test = 'dichloropyridine26_q+0_rho.cube' run(session, "open dichloropyridine26_q+0_esp.cube") - run(session, "open dichloropyridine26_q+0_rho.cube") + run(session, 'open dichloropyridine26_q+0_esp.cube') run(session, "volume #1 style surface level .0675 ") run(session, "lighting simple") run(session, "material dull") run(session, "graphics silhouettes false") run(session, "lighting shadows false") run(session, "hide #2 model") + # END VISUALIZEMOLECULE def ColorElectrostaticChimera(session): @@ -47,7 +49,6 @@ def SaveMoleculeChimera(session): run(session, "save outFile.cxs") #CHIMERAX SAVE STATE run(session, "save outFile.png") # SAVE AS PNG IMAGE - #END SAVEMOLECULECHIMERA VisualizeMolecule(session) ColorElectrostaticChimera(session) From 045eb0f3b96e455752f95743fba74c9ab0bd161a Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Mon, 9 Aug 2021 11:02:26 -0400 Subject: [PATCH 037/126] no annotations --- examples/annotate/Annotate_3D.ipynb | 33 +++++++++++++++-------------- 1 file changed, 17 insertions(+), 16 deletions(-) diff --git a/examples/annotate/Annotate_3D.ipynb b/examples/annotate/Annotate_3D.ipynb index c1fde48a..2750cb8d 100644 --- a/examples/annotate/Annotate_3D.ipynb +++ b/examples/annotate/Annotate_3D.ipynb @@ -41,7 +41,7 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 71, "id": "5b662217", "metadata": {}, "outputs": [ @@ -50,8 +50,8 @@ "output_type": "stream", "text": [ "[,\n", - " pybel_molecule : ,\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", @@ -68,10 +68,10 @@ }, { "data": { - "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", + "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", "text/html": [ - "
\n", - "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", + "

\n", + "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", " jupyter labextension install jupyterlab_3dmol

\n", "
\n", "" ] @@ -169,6 +169,7 @@ "print(smiles)\n", "\n", "molProcessed = SmilesSetup(smiles)\n", + "\n", "for atom in molProcessed.GetAtoms():\n", " atom.SetProp(\"atomNote\", str(atom.GetIdx()))\n", "\n", @@ -192,7 +193,7 @@ { "cell_type": "code", "execution_count": null, - "id": "f6ec1b7a", + "id": "494761d7", "metadata": {}, "outputs": [], "source": [] @@ -200,7 +201,7 @@ { "cell_type": "code", "execution_count": null, - "id": "c5b726bb", + "id": "1bf5bd53", "metadata": {}, "outputs": [], "source": [] From 4ac21357bdec9f5505ea1cb3c2bcc65956251010 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Mon, 9 Aug 2021 11:03:53 -0400 Subject: [PATCH 038/126] no annotations --- examples/annotate/Annotate_3D.ipynb | 36 ++++++++++++++--------------- 1 file changed, 18 insertions(+), 18 deletions(-) diff --git a/examples/annotate/Annotate_3D.ipynb b/examples/annotate/Annotate_3D.ipynb index 2750cb8d..b21a9913 100644 --- a/examples/annotate/Annotate_3D.ipynb +++ b/examples/annotate/Annotate_3D.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 58, + "execution_count": 72, "id": "59d34704", "metadata": {}, "outputs": [ @@ -11,7 +11,7 @@ "output_type": "stream", "text": [ "2021.03.4\n", - "Sun Aug 8 16:45:26 2021\n" + "Mon Aug 9 11:03:35 2021\n" ] } ], @@ -41,7 +41,7 @@ }, { "cell_type": "code", - "execution_count": 71, + "execution_count": 73, "id": "5b662217", "metadata": {}, "outputs": [ @@ -50,8 +50,8 @@ "output_type": "stream", "text": [ "[,\n", - " pybel_molecule : ,\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", @@ -68,10 +68,10 @@ }, { "data": { - "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", + "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", "text/html": [ - "
\n", - "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", + "

\n", + "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", " jupyter labextension install jupyterlab_3dmol

\n", "
\n", "" ] @@ -193,7 +193,7 @@ { "cell_type": "code", "execution_count": null, - "id": "494761d7", + "id": "fe1c03fe", "metadata": {}, "outputs": [], "source": [] @@ -201,7 +201,7 @@ { "cell_type": "code", "execution_count": null, - "id": "1bf5bd53", + "id": "89f11aa8", "metadata": {}, "outputs": [], "source": [] From ebfdd5b6a2ec4240d8adfcaf26c8b6a52273bd59 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Mon, 9 Aug 2021 15:09:53 -0400 Subject: [PATCH 039/126] generic molecule name annotation --- examples/annotate/Annotate_3D.ipynb | 46 +++++++++++++++++------------ 1 file changed, 27 insertions(+), 19 deletions(-) diff --git a/examples/annotate/Annotate_3D.ipynb b/examples/annotate/Annotate_3D.ipynb index b21a9913..d908cc15 100644 --- a/examples/annotate/Annotate_3D.ipynb +++ b/examples/annotate/Annotate_3D.ipynb @@ -41,7 +41,7 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 112, "id": "5b662217", "metadata": {}, "outputs": [ @@ -50,8 +50,8 @@ "output_type": "stream", "text": [ "[,\n", - " pybel_molecule : ,\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", @@ -68,10 +68,10 @@ }, { "data": { - "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", + "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", "text/html": [ - "
\n", - "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", + "

\n", + "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", " jupyter labextension install jupyterlab_3dmol

\n", "
\n", "" ] @@ -123,7 +126,8 @@ ], "source": [ "loadInput = load_one('dichloropyridine26_q+0.fchk')\n", - "xyzName = 'dichloropyridine26_q+0.xyz' \n", + "xyzName = 'dichloropyridine26_q+0.xyz'\n", + "molName = xyzName[:-4]\n", "dump_one(loadInput, 'dichloropyridine26_q+0.xyz')\n", "xyz_files = glob.glob(xyzName)\n", "\n", @@ -148,8 +152,13 @@ " molBlock = Chem.MolToMolBlock(mol) \n", " view = py3Dmol.view(width=size[0], height=size[1])\n", " view.addModel(molBlock, 'mol')\n", + " \n", + " view.addLabel(molName, {'position': {'x':-6.89, 'y':0.75, 'z':0.35}, 'backgroundColor': '#999991', 'backgroundOpacity': 0.2})\n", + " view.setBackgroundColor('#999999')\n", + "\n", " view.setStyle({style:{'backgroundColor':'#000000'}})\n", " view.zoomTo()\n", + " view.render()\n", " return view\n", "\n", "def SmilesSetup(smiles): \n", @@ -157,8 +166,7 @@ " if mol is not None: \n", " mol = Chem.AddHs(mol)\n", " AllChem.EmbedMolecule(mol)\n", - " for atom in mol.GetAtoms():\n", - " atom.SetProp(\"atomNote\", str(atom.GetIdx()))\n", + "\n", " return mol\n", " else:\n", " return None \n", @@ -193,7 +201,7 @@ { "cell_type": "code", "execution_count": null, - "id": "fe1c03fe", + "id": "211079ed", "metadata": {}, "outputs": [], "source": [] @@ -201,7 +209,7 @@ { "cell_type": "code", "execution_count": null, - "id": "89f11aa8", + "id": "724ea263", "metadata": {}, "outputs": [], "source": [] From 6bbc40da47b743a4f32356c0b10181b3d76fed47 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Mon, 9 Aug 2021 16:22:27 -0400 Subject: [PATCH 040/126] generic molecule name annotation, can visualize isosurfaces single color only --- examples/annotate/Annotate_3D.ipynb | 129 ++++++++++++++++++++-------- 1 file changed, 95 insertions(+), 34 deletions(-) diff --git a/examples/annotate/Annotate_3D.ipynb b/examples/annotate/Annotate_3D.ipynb index d908cc15..f3a44424 100644 --- a/examples/annotate/Annotate_3D.ipynb +++ b/examples/annotate/Annotate_3D.ipynb @@ -41,17 +41,19 @@ }, { "cell_type": "code", - "execution_count": 112, + "execution_count": 224, "id": "5b662217", - "metadata": {}, + "metadata": { + "scrolled": false + }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[,\n", - " pybel_molecule : ,\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", @@ -68,10 +70,10 @@ }, { "data": { - "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", + "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", "text/html": [ - "
\n", - "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", + "

\n", + "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", " jupyter labextension install jupyterlab_3dmol

\n", "
\n", "" ] @@ -140,6 +142,9 @@ "\n", "print(molecule_list)\n", "\n", + "#numbers = loadInput.atnums\n", + "#print(numbers)\n", + "\n", "table = pd.DataFrame(data={'Name':xyzName, \n", " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", " columns=['Name','SMILES'])\n", @@ -148,17 +153,17 @@ "print(\"\")\n", "print(table)\n", "\n", - "def Visualize3D(mol, size=(300,300), style='sphere', surface=False, backgroundColor='#000000'):\n", - " molBlock = Chem.MolToMolBlock(mol) \n", + "def Visualize3D(molBlock, size=(300,300), style='sphere', surface=False, backgroundColor='#999999', visualizeIsoSurf=False, isoSurfVal=.04):\n", " view = py3Dmol.view(width=size[0], height=size[1])\n", " view.addModel(molBlock, 'mol')\n", - " \n", " view.addLabel(molName, {'position': {'x':-6.89, 'y':0.75, 'z':0.35}, 'backgroundColor': '#999991', 'backgroundOpacity': 0.2})\n", " view.setBackgroundColor('#999999')\n", - "\n", - " view.setStyle({style:{'backgroundColor':'#000000'}})\n", + " if visualizeIsoSurf == True:\n", + " view.addVolumetricData(molVolData, \"cube\", {'isoval': isoSurfVal, 'color': 'blue', 'opacity': 0.75})\n", + " view.setStyle({style:{'backgroundColor':'#999999'}})\n", " view.zoomTo()\n", " view.render()\n", + " view.show()\n", " return view\n", "\n", "def SmilesSetup(smiles): \n", @@ -178,13 +183,11 @@ "\n", "molProcessed = SmilesSetup(smiles)\n", "\n", - "for atom in molProcessed.GetAtoms():\n", - " atom.SetProp(\"atomNote\", str(atom.GetIdx()))\n", + "molBlock = Chem.MolToMolBlock(molProcessed) \n", "\n", - "view = Visualize3D(molProcessed,size=(500,500), style='stick', surface=True)\n", "\n", - " \n", - "view.show()\n", + "view = Visualize3D(molBlock,size=(500,500), style='stick', surface=False, visualizeIsoSurf=False)\n", + "\n", "\n", "print(\" \")\n", "\n" @@ -192,16 +195,74 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 228, "id": "0bf6f306", - "metadata": {}, - "outputs": [], - "source": [] + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", + "text/html": [ + "
\n", + "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", + " jupyter labextension install jupyterlab_3dmol

\n", + "
\n", + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "molVolData = open(\"dichloropyridine26_q+0_esp.cube\", \"r\").read()\n", + "\n", + "view = Visualize3D(molBlock,size=(500,500), style='stick', surface=False, visualizeIsoSurf=True, isoSurfVal = .045)\n" + ] }, { "cell_type": "code", "execution_count": null, - "id": "211079ed", + "id": "28b7719b", "metadata": {}, "outputs": [], "source": [] @@ -209,7 +270,7 @@ { "cell_type": "code", "execution_count": null, - "id": "724ea263", + "id": "c675b972", "metadata": {}, "outputs": [], "source": [] From 7ffd52281121402b233e8a856496d157a20a52c0 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Tue, 10 Aug 2021 11:35:05 -0400 Subject: [PATCH 041/126] 2Dannotate - errors with ascribing correct atomic number and esp charge; 3d annotate - no change, added isosurface; plotting - WIP density contour plot --- examples/annotate/Annotate_2D.ipynb | 21 +- examples/annotate/Annotate_3D.ipynb | 247 ++++++++++--------- examples/plotting/2D_Plotting_Gradient.ipynb | 156 +++++++----- 3 files changed, 238 insertions(+), 186 deletions(-) diff --git a/examples/annotate/Annotate_2D.ipynb b/examples/annotate/Annotate_2D.ipynb index 2025a236..135994b8 100644 --- a/examples/annotate/Annotate_2D.ipynb +++ b/examples/annotate/Annotate_2D.ipynb @@ -8,6 +8,9 @@ "# 2D Annotations of Molecules \n", "\n", "## Introduction\n", + "The goal of this project is to render a 2 dimensional molecular drawing with annotations detailing a specific feature per atom. \n", + "\n", + "This example \n", "\n", "## Dependencies\n", "1. IOData\n", @@ -211,7 +214,7 @@ }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 83, "id": "cb1be89f", "metadata": {}, "outputs": [ @@ -259,10 +262,10 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, - "execution_count": 82, + "execution_count": 83, "metadata": {}, "output_type": "execute_result" } @@ -316,7 +319,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 84, "id": "1432506b", "metadata": {}, "outputs": [ @@ -326,7 +329,7 @@ "'\\nlistAtomicNumbers = np.ndarray.tolist(atomicNumbers)\\nprint(listAtomicNumbers)\\n\\nlistChargesESP = np.ndarray.tolist(espCharges)\\nprint(listChargesESP)\\n\\natomChargeDict = {}\\n\\nfor key in listAtomicNumbers: \\n for value in listChargesESP: \\n atomChargeDict[key] = np.round(float(value),4)\\n listChargesESP.remove(value)\\n break\\nprint(atomChargeDict)\\n'" ] }, - "execution_count": 14, + "execution_count": 84, "metadata": {}, "output_type": "execute_result" } @@ -383,6 +386,14 @@ "metadata": {}, "outputs": [], "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f9c16415", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/examples/annotate/Annotate_3D.ipynb b/examples/annotate/Annotate_3D.ipynb index f3a44424..57493d2b 100644 --- a/examples/annotate/Annotate_3D.ipynb +++ b/examples/annotate/Annotate_3D.ipynb @@ -1,5 +1,14 @@ { "cells": [ + { + "cell_type": "markdown", + "id": "214d5258", + "metadata": {}, + "source": [ + "# 3D Annotation of Molecules\n", + "\n" + ] + }, { "cell_type": "code", "execution_count": 72, @@ -39,9 +48,88 @@ "import pandas as pd" ] }, + { + "cell_type": "markdown", + "id": "aeadae0a", + "metadata": {}, + "source": [ + "## Manipulating our Input " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "55e42f92", + "metadata": {}, + "outputs": [], + "source": [ + "loadInput = load_one('dichloropyridine26_q+0.fchk')\n", + "xyzName = 'dichloropyridine26_q+0.xyz'\n", + "molName = xyzName[:-4]\n", + "dump_one(loadInput, 'dichloropyridine26_q+0.xyz')\n", + "xyz_files = glob.glob(xyzName)\n", + "\n", + "# make a list of ChemML Molecule object instances based on the names of the xyz files from xyz_files\n", + "molecule_list = [Molecule(xyzName, input_type='xyz') for file in xyz_files]\n", + "\n", + "# alter the ChemML Molecule object instances of molecule_list so that their SMILES codes can be recognzied by RDKit\n", + "for molecule in molecule_list:\n", + " molecule.to_smiles(kekuleSmiles=True)\n", + "\n", + "print(molecule_list)\n", + "\n", + "numbers = loadInput.atnums\n", + "print(len(numbers))\n", + "\n", + "table = pd.DataFrame(data={'Name':xyzName, \n", + " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", + " columns=['Name','SMILES'])\n", + "\n", + "print(\" \")\n", + "print(\"\")\n", + "print(table)" + ] + }, + { + "cell_type": "code", + "execution_count": 271, + "id": "a344e0cc", + "metadata": {}, + "outputs": [], + "source": [ + "def Visualize3D(molBlock, size=(300,300), style='sphere', surface=False, backgroundColor='#999999', visualizeIsoSurf=False, isoSurfVal=.04):\n", + " view = py3Dmol.view(width=size[0], height=size[1])\n", + " view.addModel(molBlock, 'mol')\n", + " view.addLabel(molName, {'position': {'x':-6.89, 'y':0.75, 'z':0.35}, 'backgroundColor': '#999991', 'backgroundOpacity': 0.2})\n", + " view.addLabel('test', {'backgroundColor': '#999991'})\n", + " view.setBackgroundColor('#999999')\n", + " if visualizeIsoSurf == True:\n", + " #volIso = view.VolumeData(molVolData,'cube')\n", + " #view.addIsosurface(volIso, {'isoval': .04, 'color': 'blue', 'opacity': 0.75})\n", + " view.addVolumetricData(molVolData, \"cube\", {'isoval': isoSurfVal, 'color': 'blue', 'opacity': 0.75})\n", + " \n", + " view.setStyle({style:{'backgroundColor':'#999999'}})\n", + " view.setProjection(\"orthographic\")\n", + " view.zoomTo()\n", + " view.render()\n", + " view.show()\n", + " return view\n", + "\n", + "def SmilesSetup(smiles): \n", + " mol = Chem.MolFromSmiles(smiles)\n", + " if mol is not None: \n", + " mol = Chem.AddHs(mol)\n", + " AllChem.EmbedMolecule(mol)\n", + "\n", + " return mol\n", + " else:\n", + " return None \n", + " " + ] + }, { "cell_type": "code", - "execution_count": 224, + "execution_count": 272, "id": "5b662217", "metadata": { "scrolled": false @@ -51,18 +139,6 @@ "name": "stdout", "output_type": "stream", "text": [ - "[,\n", - " pybel_molecule : ,\n", - " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", - " smiles : 'Clc1cccc(Cl)n1',\n", - " smarts : None,\n", - " inchi : None,\n", - " xyz : )>]\n", - " \n", - "\n", - " Name SMILES\n", - "0 dichloropyridine26_q+0.xyz Clc1cccc(Cl)n1\n", " \n", "Our Molecule in SMILES format: \n", "Clc1cccc(Cl)n1\n" @@ -70,10 +146,10 @@ }, { "data": { - "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", + "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", "text/html": [ - "
\n", - "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", + "

\n", + "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", " jupyter labextension install jupyterlab_3dmol

\n", "
\n", "" ] @@ -127,55 +205,6 @@ } ], "source": [ - "loadInput = load_one('dichloropyridine26_q+0.fchk')\n", - "xyzName = 'dichloropyridine26_q+0.xyz'\n", - "molName = xyzName[:-4]\n", - "dump_one(loadInput, 'dichloropyridine26_q+0.xyz')\n", - "xyz_files = glob.glob(xyzName)\n", - "\n", - "# make a list of ChemML Molecule object instances based on the names of the xyz files from xyz_files\n", - "molecule_list = [Molecule(xyzName, input_type='xyz') for file in xyz_files]\n", - "\n", - "# alter the ChemML Molecule object instances of molecule_list so that their SMILES codes can be recognzied by RDKit\n", - "for molecule in molecule_list:\n", - " molecule.to_smiles(kekuleSmiles=True)\n", - "\n", - "print(molecule_list)\n", - "\n", - "#numbers = loadInput.atnums\n", - "#print(numbers)\n", - "\n", - "table = pd.DataFrame(data={'Name':xyzName, \n", - " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", - " columns=['Name','SMILES'])\n", - "\n", - "print(\" \")\n", - "print(\"\")\n", - "print(table)\n", - "\n", - "def Visualize3D(molBlock, size=(300,300), style='sphere', surface=False, backgroundColor='#999999', visualizeIsoSurf=False, isoSurfVal=.04):\n", - " view = py3Dmol.view(width=size[0], height=size[1])\n", - " view.addModel(molBlock, 'mol')\n", - " view.addLabel(molName, {'position': {'x':-6.89, 'y':0.75, 'z':0.35}, 'backgroundColor': '#999991', 'backgroundOpacity': 0.2})\n", - " view.setBackgroundColor('#999999')\n", - " if visualizeIsoSurf == True:\n", - " view.addVolumetricData(molVolData, \"cube\", {'isoval': isoSurfVal, 'color': 'blue', 'opacity': 0.75})\n", - " view.setStyle({style:{'backgroundColor':'#999999'}})\n", - " view.zoomTo()\n", - " view.render()\n", - " view.show()\n", - " return view\n", - "\n", - "def SmilesSetup(smiles): \n", - " mol = Chem.MolFromSmiles(smiles)\n", - " if mol is not None: \n", - " mol = Chem.AddHs(mol)\n", - " AllChem.EmbedMolecule(mol)\n", - "\n", - " return mol\n", - " else:\n", - " return None \n", - " \n", "print(\" \")\n", "smiles = table.iloc[0,1]\n", "print(\"Our Molecule in SMILES format: \")\n", @@ -189,24 +218,31 @@ "view = Visualize3D(molBlock,size=(500,500), style='stick', surface=False, visualizeIsoSurf=False)\n", "\n", "\n", - "print(\" \")\n", - "\n" + "print(\" \")" ] }, { "cell_type": "code", - "execution_count": 228, + "execution_count": null, + "id": "53531935", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 274, "id": "0bf6f306", "metadata": { - "scrolled": false + "scrolled": true }, "outputs": [ { "data": { - "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", + "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", "text/html": [ - "
\n", - "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", + "

\n", + "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", " jupyter labextension install jupyterlab_3dmol

\n", "
\n", "" ] @@ -255,25 +293,8 @@ ], "source": [ "molVolData = open(\"dichloropyridine26_q+0_esp.cube\", \"r\").read()\n", - "\n", - "view = Visualize3D(molBlock,size=(500,500), style='stick', surface=False, visualizeIsoSurf=True, isoSurfVal = .045)\n" + "view = Visualize3D(molBlock,size=(300,300), style='stick', surface=False, visualizeIsoSurf=True, isoSurfVal = .045)\n" ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "28b7719b", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "c675b972", - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index 7cf5c7ef..d7d63ae6 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -108,11 +108,15 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 103, "metadata": {}, "outputs": [], "source": [ - "v1, v2 = coord[1] - coord[0], coord[2] - coord[0]\n", + "coord1 = coord[0] \n", + "coord2 = coord[1]\n", + "coord3 = coord[2]\n", + "\n", + "v1, v2 = coord2 - coord1, coord3 - coord1\n", "normal = np.cross(v1, v2)\n", "normal /= np.linalg.norm(normal)\n", "\n", @@ -137,7 +141,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 89, "metadata": { "scrolled": true }, @@ -158,8 +162,6 @@ "source": [ "rot_coords = np.dot(rot, (coord - coord[0]).T).T\n", "\n", - "# ERROR: THIS ASSERTION TEST FAILS\n", - "#assert np.all(np.abs(rot_coords[:, 2]) < 1e-5) # Make sure the z-axis is zero.\n", "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\")\n", "plt.title(\"Molecular Coordinates Translate Rotated to x,y-Axis\")\n", "plt.show()" @@ -176,7 +178,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 124, "metadata": { "scrolled": true }, @@ -187,18 +189,6 @@ "text": [ "[-11.15737795 -4.13120126 -1.00005684]\n" ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" } ], "source": [ @@ -209,11 +199,6 @@ "x_grid = np.arange(l_bnd[0], u_bnd[0] + step_size, step_size)\n", "y_grid = np.arange(l_bnd[1], u_bnd[1] + step_size, step_size)\n", "grid_2d = np.array(np.meshgrid(x_grid, y_grid)).T.reshape(-1,2)\n", - "\n", - "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", - "plt.plot(grid_2d[:, 0], grid_2d[:, 1], \"bo\", alpha=0.25)\n", - "plt.legend()\n", - "plt.show()\n", "\n" ] }, @@ -228,38 +213,15 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 125, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Add zero z-axis and rotate it and translate it to the plane\n", "grid_zeros = np.hstack((grid_2d, np.zeros((grid_2d.shape[0], 1), dtype=np.float)))\n", "grid_plane = np.einsum(\"ij,kj->ki\", rot.T, grid_zeros)\n", "assert np.all(np.abs(np.dot(grid_plane, normal)) < 1e-5)\n", - "grid_plane += coord[0]\n", - "\n", - "\n", - "fig = plt.figure()\n", - "ax = Axes3D(fig)\n", - "ax.scatter(grid_plane[:, 0], grid_plane[:, 1], grid_plane[:, 2])\n", - "ax.scatter(coord[:, 0], coord[:, 1], coord[:, 2], c=\"r\", s=10,\n", - " label=\"Molecule Coordinates\")\n", - "plt.legend()\n", - "plt.title(\"Points on the affine plane.\")\n", - "plt.show()" + "grid_plane += coord[0]\n" ] }, { @@ -284,25 +246,31 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 130, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[[ 1.70982687e-05 5.10868096e-04 -6.55691344e-09]\n", - " [-2.04658254e-05 8.72965114e-04 -1.29942129e-08]\n", - " [-1.34014657e-04 1.43885163e-03 -2.51374698e-08]\n", - " ...\n", - " [ 3.92944438e-08 -8.98940297e-06 1.84799988e-10]\n", - " [ 3.01288771e-09 -6.67502749e-06 1.34390522e-10]\n", - " [ 4.24791253e-09 -4.95304702e-06 9.83619427e-11]]\n" + "[2.17212008e-04 3.59387779e-04 5.82559952e-04 ... 6.25544026e-06\n", + " 4.63270562e-06 3.42546710e-06]\n" + ] + }, + { + "ename": "ValueError", + "evalue": "shapes (1764,) and (3,) not aligned: 1764 (dim 0) != 3 (dim 0)", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgradients\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0mproj_gradients\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgradients\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgradients\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnormal\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnewaxis\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mnormal\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0;31m# Make sure it is on the plane by making sure it is orthogonal to the normal.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;32massert\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mall\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mproj_gradients\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnormal\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m1e-5\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: shapes (1764,) and (3,) not aligned: 1764 (dim 0) != 3 (dim 0)" ] } ], "source": [ - "gradients = mol.compute_gradient(grid_plane)\n", + "gradients = mol.compute_density(grid_plane)\n", "print(gradients)\n", "\n", "proj_gradients = gradients - np.dot(gradients, normal)[:, np.newaxis] * normal\n", @@ -315,14 +283,14 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 119, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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" ] }, "metadata": { @@ -334,8 +302,9 @@ "source": [ "# Rotate Projected Plane.\n", "rot_proj_gradients /= np.linalg.norm(rot_proj_gradients, axis=1).reshape((-1, 1))\n", + "plt.figure(figsize=(10,10))\n", "plt.quiver(grid_2d[:, 0], grid_2d[:, 1],\n", - " rot_proj_gradients[:, 0], rot_proj_gradients[:, 1], scale=50)\n", + " rot_proj_gradients[:, 0], rot_proj_gradients[:, 1],color='black', scale=30)\n", "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", "plt.legend()\n", "plt.show()" @@ -378,7 +347,7 @@ }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 127, "metadata": {}, "outputs": [ { @@ -423,13 +392,13 @@ "X, Y = np.meshgrid(x, y)\n", "Z = np.sqrt((X**2) + (Y**2))\n", "\n", - "\n", "print(Z)\n", "\n", + "\n", "plt.figure(figsize=(10,10))\n", "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", "plt.legend()\n", - "plt.contourf(X,Y,Z,)\n", + "plt.contour(X,Y,Z)\n", "#plt.contourf(X,Y,Z, cmap='Reds')\n", "\n", "plt.show()" @@ -437,10 +406,61 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 129, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-1.31954229e-01 -8.56611497e+00 1.84489266e-04]\n", + " [ 8.30704494e-02 -8.35691557e+00 1.90532869e-04]\n", + " [ 2.98095128e-01 -8.14771618e+00 1.96576472e-04]\n", + " ...\n", + " [-3.23166990e-01 8.40867332e+00 -1.66595694e-04]\n", + " [-1.08142311e-01 8.61787272e+00 -1.60552091e-04]\n", + " [ 1.06882368e-01 8.82707212e+00 -1.54508488e-04]]\n" + ] + }, + { + "ename": "TypeError", + "evalue": "Input z must be a 2D array.", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in 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\u001b[0mz\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m2\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mz\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1570\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Input z must be at least a 2x2 array.\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mTypeError\u001b[0m: Input z must be a 2D array." + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "print(grid_plane)\n", + "electron_density = mol.compute_density(grid_plane)\n", + "levels = '1'\n", + "\n", + "\n", + "plt.contour(grid_2d[:, 0],grid_2d[:, 1],electron_density,levels)" + ] }, { "cell_type": "code", From 8c5f8ee86678b27d61d703ab7af2737dabc0c541 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Tue, 10 Aug 2021 12:05:13 -0400 Subject: [PATCH 042/126] 2Dannotate - errors with ascribing correct atomic number and esp charge; 3d annotate - no change, added isosurface; plotting - WIP density contour plot --- examples/annotate/Annotate_2D.ipynb | 50 +++++++++-------------------- 1 file changed, 16 insertions(+), 34 deletions(-) diff --git a/examples/annotate/Annotate_2D.ipynb b/examples/annotate/Annotate_2D.ipynb index 135994b8..4a2963c2 100644 --- a/examples/annotate/Annotate_2D.ipynb +++ b/examples/annotate/Annotate_2D.ipynb @@ -25,7 +25,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 85, "id": "3744a11c", "metadata": {}, "outputs": [], @@ -70,7 +70,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 86, "id": "ee68d1a9", "metadata": { "scrolled": true @@ -118,7 +118,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 87, "id": "22744f1d", "metadata": {}, "outputs": [ @@ -127,8 +127,8 @@ "output_type": "stream", "text": [ "[,\n", - " pybel_molecule : ,\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", @@ -151,7 +151,7 @@ "" ] }, - "execution_count": 21, + "execution_count": 87, "metadata": {}, "output_type": "execute_result" } @@ -214,7 +214,7 @@ }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 93, "id": "cb1be89f", "metadata": {}, "outputs": [ @@ -237,35 +237,17 @@ " IOData Retrieved ESP Charges : \n", "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", - " \n", - "test\n", - "6\n", - "test\n", - "6\n", - "test\n", - "6\n", - "test\n", - "17\n", - "test\n", - "17\n", - "test\n", - "17\n", - "test\n", - "17\n", - "test\n", - "17\n", - "test\n", - "7\n" + " \n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, - "execution_count": 83, + "execution_count": 93, "metadata": {}, "output_type": "execute_result" } @@ -300,9 +282,9 @@ "for i, atom in enumerate(chem2.GetAtoms()):\n", " #atom.SetProp(\"atomNote\",f\"{espCharges[i]}\")\n", " for entry in numbers:\n", - " if entry == i: \n", - " print('test')\n", - " print(atom.GetAtomicNum())\n", + " if entry != atom: \n", + " #print('test')\n", + " #print(atom.GetAtomicNum())\n", " atom.SetProp(\"atomNote\", f\"{numbers[i],np.round(float(espCharges[i]),3)}\") \n", "chem2\n", "\n", @@ -319,7 +301,7 @@ }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 89, "id": "1432506b", "metadata": {}, "outputs": [ @@ -329,7 +311,7 @@ "'\\nlistAtomicNumbers = np.ndarray.tolist(atomicNumbers)\\nprint(listAtomicNumbers)\\n\\nlistChargesESP = np.ndarray.tolist(espCharges)\\nprint(listChargesESP)\\n\\natomChargeDict = {}\\n\\nfor key in listAtomicNumbers: \\n for value in listChargesESP: \\n atomChargeDict[key] = np.round(float(value),4)\\n listChargesESP.remove(value)\\n break\\nprint(atomChargeDict)\\n'" ] }, - "execution_count": 84, + "execution_count": 89, "metadata": {}, "output_type": "execute_result" } From 988a0c392120de16f8617570d3cb06280f8f9d74 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Tue, 10 Aug 2021 21:34:16 -0400 Subject: [PATCH 043/126] chimerax annotations, must now replace number wiht atomic symbol --- examples/annotate/Annotate_3D_Chimera.ipynb | 151 ++++++++++++++++++++ examples/annotate/test.defattr | 13 ++ 2 files changed, 164 insertions(+) create mode 100644 examples/annotate/Annotate_3D_Chimera.ipynb create mode 100644 examples/annotate/test.defattr diff --git a/examples/annotate/Annotate_3D_Chimera.ipynb b/examples/annotate/Annotate_3D_Chimera.ipynb new file mode 100644 index 00000000..a3566ff6 --- /dev/null +++ b/examples/annotate/Annotate_3D_Chimera.ipynb @@ -0,0 +1,151 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 192, + "id": "1f5c3fdd", + "metadata": {}, + "outputs": [], + "source": [ + "import iodata\n", + "from iodata import load_one,dump_one\n", + "import numpy as np\n", + "\n", + "import rdkit\n", + "from rdkit import Chem\n", + "from rdkit.Chem import PeriodicTable\n", + "\n", + "import os,glob,sys\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 196, + "id": "8d549015", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "dichloropyridine26_q+0\n" + ] + } + ], + "source": [ + "inFile = 'dichloropyridine26_q+0.fchk'\n", + "loadInput = load_one(inFile)\n", + "dump_one(loadInput,'test.pdb')\n", + "molName = inFile[:-5]\n", + "print(molName)" + ] + }, + { + "cell_type": "code", + "execution_count": 219, + "id": "edf3a177", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", + " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", + "[17 17 7 6 6 6 6 6 1 1 1]\n", + "\n", + "[(17, -0.119822758), (17, -0.119828567), (7, -0.538243531), (6, 0.260573695), (6, -0.453200648), (6, -0.4532028), (6, 0.499768812), (6, 0.499772652), (1, 0.0844758043), (1, 0.16985231), (1, 0.169855031)]\n" + ] + } + ], + "source": [ + "\n", + "espCharges = (loadInput.atcharges['esp'][:])\n", + "numbers = loadInput.atnums\n", + "\n", + "print(\"\")\n", + "\n", + "numChargeDict = []\n", + "for i in range(0,len(numbers)):\n", + " step=numbers[i],espCharges[i]\n", + " numChargeDict.append(step)\n", + " \n", + "print(numChargeDict)\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "af1fd462", + "metadata": {}, + "outputs": [], + "source": [ + "def RedundantAtomCheck(atom)\n", + " if " + ] + }, + { + "cell_type": "code", + "execution_count": 220, + "id": "c0625011", + "metadata": {}, + "outputs": [], + "source": [ + " \n", + "f = open(\"test.defattr\", \"w\")\n", + "f.write(\"attribute: myFactor\\n\")\n", + "#f.write(\"match mode: 1-to-1\\n\")\n", + "f.write(\"recipient: atoms\\n\")\n", + "count = 0\n", + "for i,p in numChargeDict: \n", + " count += 1\n", + " \n", + " # f.write(f\"\\t :{count}\\t({i}:{p}) \\n\")\n", + " for value in p \n", + " f.write(f\"\\t@{count}\\t{p} \\n\")\n", + "f.close() \n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7a9d69ff", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e03ddc64", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:.conda-chemml_env] *", + "language": "python", + "name": "conda-env-.conda-chemml_env-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/examples/annotate/test.defattr b/examples/annotate/test.defattr new file mode 100644 index 00000000..914430d8 --- /dev/null +++ b/examples/annotate/test.defattr @@ -0,0 +1,13 @@ +attribute: myFactor +recipient: atoms + @Cl1 -0.119822758 + @Cl2 -0.119828567 + @N -0.538243531 + @4 0.260573695 + @5 -0.453200648 + @6 -0.4532028 + @7 0.499768812 + @8 0.499772652 + @9 0.0844758043 + @10 0.16985231 + @11 0.169855031 From bfe6b82d610524b85af67d3f3020fd181230c888 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Wed, 11 Aug 2021 14:30:26 -0400 Subject: [PATCH 044/126] unable to obtain chemical symbols --- .../annotate_3D/Annotate_3D_Chimera.ipynb | 277 + .../annotate_3D/dichloropyridine26_q+0.fchk | 29188 ++++++++++++++++ 2 files changed, 29465 insertions(+) create mode 100644 examples/annotate_3D/Annotate_3D_Chimera.ipynb create mode 100644 examples/annotate_3D/dichloropyridine26_q+0.fchk diff --git a/examples/annotate_3D/Annotate_3D_Chimera.ipynb b/examples/annotate_3D/Annotate_3D_Chimera.ipynb new file mode 100644 index 00000000..b133ec49 --- /dev/null +++ b/examples/annotate_3D/Annotate_3D_Chimera.ipynb @@ -0,0 +1,277 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "1f5c3fdd", + "metadata": {}, + "outputs": [], + "source": [ + "import iodata\n", + "from iodata import load_one,dump_one\n", + "import numpy as np\n", + "\n", + "import rdkit\n", + "from rdkit import Chem\n", + "from rdkit.Chem import PeriodicTable\n", + "\n", + "import os,glob,sys\n", + "\n", + "import mendeleev \n", + "from mendeleev import element" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "8d549015", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "dichloropyridine26_q+0\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "RDKit WARNING: [14:27:52] Counts line too short: '' on line4\n" + ] + } + ], + "source": [ + "inFile = 'dichloropyridine26_q+0.fchk'\n", + "loadInput = load_one(inFile)\n", + "dump_one(loadInput,'test.pdb')\n", + "dump_one(loadInput,'test.mol2')\n", + "molName = inFile[:-5]\n", + "mol = Chem.MolFromMolFile('test.mol2')\n", + "print(molName)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b6043f33", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "edf3a177", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "[(17, -0.119822758), (17, -0.119828567), (7, -0.538243531), (6, 0.260573695), (6, -0.453200648), (6, -0.4532028), (6, 0.499768812), (6, 0.499772652), (1, 0.0844758043), (1, 0.16985231), (1, 0.169855031)]\n" + ] + } + ], + "source": [ + "\n", + "espCharges = (loadInput.atcharges['esp'][:])\n", + "numbers = loadInput.atnums\n", + "\n", + "print(\"\")\n", + "\n", + "numChargeDict = []\n", + "for i in range(0,len(numbers)):\n", + " step=numbers[i],espCharges[i]\n", + " numChargeDict.append(step)\n", + " \n", + "print(numChargeDict)\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "606397d7", + "metadata": {}, + "outputs": [], + "source": [ + "chemSymbolDict = []\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "0c73fda1", + "metadata": {}, + "outputs": [ + { + "ename": "TypeError", + "evalue": "unsupported format string passed to type.__format__", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mredundantNumberDict\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0melement\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnumbers\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mRedundantAtomCheck\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mredundantNumberDict\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mcount\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/.conda/envs/chemml_env/lib/python3.7/site-packages/mendeleev/mendeleev.py\u001b[0m in \u001b[0;36melement\u001b[0;34m(ids)\u001b[0m\n\u001b[1;32m 65\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 66\u001b[0m raise ValueError(\n\u001b[0;32m---> 67\u001b[0;31m \u001b[0;34m\"Expected a , , or , got: {0:s}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtype\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mids\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 68\u001b[0m )\n\u001b[1;32m 69\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mTypeError\u001b[0m: unsupported format string passed to type.__format__" + ] + } + ], + "source": [ + "redundantNumberDict = []\n", + "\n", + "element(numbers[1])\n", + "def RedundantAtomCheck(redundantNumberDict):\n", + " count = 0\n", + " for i in range(0,len(numbers)):\n", + " if numbers[i] == numbers[i-1]:\n", + " count += 1\n", + " print(f\"{numbers[i]} REDUNANT ATOM! APPENDING INTEGER!\")\n", + "\n", + " step = f\"{numbers[i]}{count}\"\n", + " print(step)\n", + " redundantNumberDict.append(step)\n", + " elif numbers[i] != numbers[i-1]: \n", + " count = 1\n", + " step = f\"{numbers[i]}{count}\"\n", + " redundantNumberDict.append(step)\n", + " \n", + "RedundantAtomCheck(redundantNumberDict)\n", + "print(redundantNumberDict)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "c0625011", + "metadata": {}, + "outputs": [], + "source": [ + " \n", + "f = open(\"test.defattr\", \"w\")\n", + "f.write(\"attribute: myFactor\\n\")\n", + "#f.write(\"match mode: 1-to-1\\n\")\n", + "f.write(\"recipient: atoms\\n\")\n", + "count = 0\n", + "for i,p in numChargeDict: \n", + " count += 1\n", + " f.write(f\"\\t@{count}\\t{p} \\n\")\n", + "f.close() \n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "7a9d69ff", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "17\n", + "17\n", + "7\n", + "6\n", + "6\n", + "6\n", + "6\n", + "6\n", + "1\n", + "1\n", + "1\n" + ] + } + ], + "source": [ + "for x in numbers: \n", + " mystring = x \n", + " print(mystring)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "44b024f7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[17 17 7 6 6 6 6 6 1 1 1]\n" + ] + } + ], + "source": [ + "print(numbers)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "f7a711b0", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "RDKit WARNING: [14:20:11] Counts line too short: '' on line4\n" + ] + }, + { + "ename": "AttributeError", + "evalue": "'NoneType' object has no attribute 'GetAtoms'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mmol2\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mChem\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mMolFromMolFile\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'test.mol2'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0;32mfor\u001b[0m \u001b[0matom\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mmol2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mGetAtoms\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0matom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mGetSymbol\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0matom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mGetExplicitValence\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0matom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mGetTotalNumHs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mAttributeError\u001b[0m: 'NoneType' object has no attribute 'GetAtoms'" + ] + } + ], + "source": [ + "mol2 = Chem.MolFromMolFile('test.mol2')\n", + "for atom in mol2.GetAtoms():\n", + " print(atom.GetSymbol(), atom.GetExplicitValence(), atom.GetTotalNumHs())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e65e56e1", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:.conda-chemml_env] *", + "language": "python", + "name": "conda-env-.conda-chemml_env-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/examples/annotate_3D/dichloropyridine26_q+0.fchk b/examples/annotate_3D/dichloropyridine26_q+0.fchk new file mode 100644 index 00000000..57ddce99 --- /dev/null +++ b/examples/annotate_3D/dichloropyridine26_q+0.fchk @@ -0,0 +1,29188 @@ +dichloropyridine26_q+0 ub3lyp/cc-pvtz sp-stable +NA UB3LYP AUG-CC-PVDZ +Number of atoms I 11 +Number of electrons I 74 +Charge I 0 +Multiplicity I 1 +Number of alpha electrons I 37 +Number of beta electrons I 37 +Atomic numbers I N= 11 + 17 17 7 6 6 6 + 6 6 1 1 1 +Nuclear charges R N= 11 + 1.70000000E+01 1.70000000E+01 7.00000000E+00 6.00000000E+00 6.00000000E+00 + 6.00000000E+00 6.00000000E+00 6.00000000E+00 1.00000000E+00 1.00000000E+00 + 1.00000000E+00 +Current cartesian coordinates R N= 33 + -4.95130924E+00 2.31173977E+00 -2.64561659E-04 4.95149821E+00 2.31139962E+00 + 2.07869875E-04 7.55890453E-05 1.84250188E+00 -1.88972613E-05 -9.44863066E-05 + -3.41775868E+00 1.13383568E-04 -2.28277027E+00 -2.09580077E+00 -1.88972613E-05 + 2.28267578E+00 -2.09595195E+00 1.70075352E-04 -2.13763930E+00 5.39856962E-01 + -3.77945227E-05 2.13769600E+00 5.39705784E-01 7.55890453E-05 -1.70075352E-04 + -5.47831606E+00 1.51178091E-04 -4.10063012E+00 -3.05289036E+00 -7.55890453E-05 + 4.10047894E+00 -3.05315492E+00 2.83458920E-04 +Integer atomic weights I N= 11 + 35 35 14 12 12 12 + 12 12 1 1 1 +Real atomic weights R N= 11 + 3.49688527E+01 3.49688527E+01 1.40030740E+01 1.20000000E+01 1.20000000E+01 + 1.20000000E+01 1.20000000E+01 1.20000000E+01 1.00782504E+00 1.00782504E+00 + 1.00782504E+00 +Number of basis functions I 219 +Number of independent functions I 219 +Number of contracted shells I 91 +Number of primitive shells I 245 +Pure/Cartesian d shells I 0 +Pure/Cartesian f shells I 0 +Highest angular momentum I 2 +Largest degree of contraction I 9 +Shell types I N= 91 + 0 0 0 0 0 1 + 1 1 1 -2 -2 0 + 0 0 0 0 1 1 + 1 1 -2 -2 0 0 + 0 0 1 1 1 -2 + -2 0 0 0 0 1 + 1 1 -2 -2 0 0 + 0 0 1 1 1 -2 + -2 0 0 0 0 1 + 1 1 -2 -2 0 0 + 0 0 1 1 1 -2 + -2 0 0 0 0 1 + 1 1 -2 -2 0 0 + 0 1 1 0 0 0 + 1 1 0 0 0 1 + 1 +Number of primitives per shell I N= 91 + 9 8 8 1 1 6 + 6 1 1 1 1 9 + 8 8 1 1 6 6 + 1 1 1 1 7 7 + 1 1 3 1 1 1 + 1 7 7 1 1 3 + 1 1 1 1 7 7 + 1 1 3 1 1 1 + 1 7 7 1 1 3 + 1 1 1 1 7 7 + 1 1 3 1 1 1 + 1 7 7 1 1 3 + 1 1 1 1 3 1 + 1 1 1 3 1 1 + 1 1 3 1 1 1 + 1 +Shell to atom map I N= 91 + 1 1 1 1 1 1 + 1 1 1 1 1 2 + 2 2 2 2 2 2 + 2 2 2 2 3 3 + 3 3 3 3 3 3 + 3 4 4 4 4 4 + 4 4 4 4 5 5 + 5 5 5 5 5 5 + 5 6 6 6 6 6 + 6 6 6 6 7 7 + 7 7 7 7 7 7 + 7 8 8 8 8 8 + 8 8 8 8 9 9 + 9 9 9 10 10 10 + 10 10 11 11 11 11 + 11 +Primitive exponents R N= 245 + 1.27900000E+05 1.91700000E+04 4.36300000E+03 1.23600000E+03 4.03600000E+02 + 1.45700000E+02 5.68100000E+01 2.32300000E+01 6.64400000E+00 4.36300000E+03 + 1.23600000E+03 4.03600000E+02 1.45700000E+02 5.68100000E+01 2.32300000E+01 + 6.64400000E+00 2.57500000E+00 4.36300000E+03 1.23600000E+03 1.45700000E+02 + 5.68100000E+01 2.32300000E+01 6.64400000E+00 2.57500000E+00 5.37100000E-01 + 1.93800000E-01 6.08000000E-02 4.17600000E+02 9.83300000E+01 3.10400000E+01 + 1.11900000E+01 4.24900000E+00 1.62400000E+00 9.83300000E+01 3.10400000E+01 + 1.11900000E+01 4.24900000E+00 1.62400000E+00 5.32200000E-01 1.62000000E-01 + 4.66000000E-02 6.00000000E-01 1.96000000E-01 1.27900000E+05 1.91700000E+04 + 4.36300000E+03 1.23600000E+03 4.03600000E+02 1.45700000E+02 5.68100000E+01 + 2.32300000E+01 6.64400000E+00 4.36300000E+03 1.23600000E+03 4.03600000E+02 + 1.45700000E+02 5.68100000E+01 2.32300000E+01 6.64400000E+00 2.57500000E+00 + 4.36300000E+03 1.23600000E+03 1.45700000E+02 5.68100000E+01 2.32300000E+01 + 6.64400000E+00 2.57500000E+00 5.37100000E-01 1.93800000E-01 6.08000000E-02 + 4.17600000E+02 9.83300000E+01 3.10400000E+01 1.11900000E+01 4.24900000E+00 + 1.62400000E+00 9.83300000E+01 3.10400000E+01 1.11900000E+01 4.24900000E+00 + 1.62400000E+00 5.32200000E-01 1.62000000E-01 4.66000000E-02 6.00000000E-01 + 1.96000000E-01 9.04600000E+03 1.35700000E+03 3.09300000E+02 8.77300000E+01 + 2.85600000E+01 1.02100000E+01 3.83800000E+00 9.04600000E+03 3.09300000E+02 + 8.77300000E+01 2.85600000E+01 1.02100000E+01 3.83800000E+00 7.46600000E-01 + 2.24800000E-01 6.12400000E-02 1.35500000E+01 2.91700000E+00 7.97300000E-01 + 2.18500000E-01 5.61100000E-02 8.17000000E-01 2.30000000E-01 6.66500000E+03 + 1.00000000E+03 2.28000000E+02 6.47100000E+01 2.10600000E+01 7.49500000E+00 + 2.79700000E+00 6.66500000E+03 2.28000000E+02 6.47100000E+01 2.10600000E+01 + 7.49500000E+00 2.79700000E+00 5.21500000E-01 1.59600000E-01 4.69000000E-02 + 9.43900000E+00 2.00200000E+00 5.45600000E-01 1.51700000E-01 4.04100000E-02 + 5.50000000E-01 1.51000000E-01 6.66500000E+03 1.00000000E+03 2.28000000E+02 + 6.47100000E+01 2.10600000E+01 7.49500000E+00 2.79700000E+00 6.66500000E+03 + 2.28000000E+02 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7.49500000E+00 2.79700000E+00 6.66500000E+03 2.28000000E+02 + 6.47100000E+01 2.10600000E+01 7.49500000E+00 2.79700000E+00 5.21500000E-01 + 1.59600000E-01 4.69000000E-02 9.43900000E+00 2.00200000E+00 5.45600000E-01 + 1.51700000E-01 4.04100000E-02 5.50000000E-01 1.51000000E-01 1.30100000E+01 + 1.96200000E+00 4.44600000E-01 1.22000000E-01 2.97400000E-02 7.27000000E-01 + 1.41000000E-01 1.30100000E+01 1.96200000E+00 4.44600000E-01 1.22000000E-01 + 2.97400000E-02 7.27000000E-01 1.41000000E-01 1.30100000E+01 1.96200000E+00 + 4.44600000E-01 1.22000000E-01 2.97400000E-02 7.27000000E-01 1.41000000E-01 +Contraction coefficients R N= 245 + 2.40803156E-04 1.86828140E-03 9.69415404E-03 3.92582859E-02 1.25735640E-01 + 2.98835200E-01 4.20875448E-01 2.36540589E-01 2.17322909E-02 -5.50965114E-05 + -1.82705209E-04 -3.34996367E-03 -1.55111266E-02 -8.10548045E-02 -6.24298683E-02 + 5.01750267E-01 6.03592477E-01 -8.77557694E-06 3.25540258E-05 1.77967512E-03 + 5.05593898E-03 1.35133904E-02 -1.32494342E-01 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-8.88290400E-17 2.35955006E-12 + -1.02161335E-12 6.01616465E-16 -1.75876358E-15 8.14560960E-16 1.33393284E-15 + 1.43904095E-16 -9.60495684E-16 1.88330968E-15 4.53467559E-15 -8.73425964E-17 + -4.06005232E-16 -1.31025833E-14 1.44429917E-16 -4.57399577E-16 -1.16566912E-14 + 4.14104217E-17 1.61173538E-17 -3.24840523E-15 -3.06483652E-17 1.89249522E-15 + -1.36006047E-15 2.44762743E-19 -4.68863507E-17 -5.04165326E-17 6.83643680E-16 + -3.56973565E-16 4.20508183E-18 -8.53105710E-17 -1.53313215E-16 6.67322440E-16 + 8.06151087E-16 8.05086605E-16 1.70243193E-16 -5.26211172E-16 -1.47188433E-15 + -9.91123416E-15 2.71104330E-16 -6.57973506E-16 2.57914350E-14 9.87229606E-17 + -3.53749056E-16 1.89384099E-14 1.07285273E-16 1.61901083E-17 3.42140324E-15 + -4.36495930E-17 7.64579372E-16 6.74509277E-16 2.55614294E-17 4.66983293E-17 + -1.62107482E-17 4.17200996E-16 2.22491838E-16 8.39267773E-17 4.39577012E-18 + -2.42907596E-16 8.77910475E-16 9.04747814E-16 -9.87749896E-16 6.94715406E-16 + 8.52190935E-16 1.00310385E-14 -1.01737339E-16 5.07751061E-16 6.39007076E-15 + -1.10564905E-16 4.72935420E-16 -1.10850185E-15 1.49223515E-17 -1.57759548E-15 + -6.29650412E-16 5.78391369E-17 -5.67011693E-17 1.85381234E-17 -1.75941618E-15 + -5.87583367E-16 5.25497355E-17 1.38802813E-16 -2.50044020E-16 -2.09789309E-16 + -9.79813832E-16 4.67414718E-15 1.01954550E-15 -1.28291822E-16 2.68882139E-15 + -1.80263376E-15 -6.56885697E-16 -4.70543743E-17 1.66417410E-15 9.24365361E-16 + 1.56339243E-15 6.44213555E-18 -2.65060326E-15 2.29579810E-16 7.21079677E-17 + 6.37813427E-17 -2.01902281E-17 -1.13265246E-15 -4.60731713E-16 -2.94522885E-17 + -9.81177979E-16 7.82804783E-16 -2.20186711E-16 -2.61869129E-15 -2.01443832E-15 + -1.12747253E-15 -1.02073929E-16 3.37841056E-14 -6.69592462E-16 4.08029958E-16 + 1.97582293E-14 1.45789422E-16 -1.08247719E-15 1.56884054E-15 1.88959716E-17 + 2.59991681E-16 1.73916870E-15 2.85674170E-17 2.41958138E-17 -3.47023641E-17 + 1.25763386E-15 4.08974612E-16 -1.62480348E-16 1.77458696E-17 -3.28369183E-16 + 9.28607726E-16 2.76151714E-15 -6.40155992E-15 2.73786883E-16 -6.75574420E-16 + -2.56140595E-14 -2.10631535E-15 -4.81621240E-16 -1.55752147E-14 1.57094944E-15 + 7.76806081E-16 -4.68047367E-15 -1.73302312E-17 5.77337657E-18 -1.02804050E-15 + 7.77221551E-18 4.29940689E-18 1.08124080E-16 -4.14002600E-16 -2.50504912E-16 + 1.58848324E-16 4.20321042E-16 2.14400344E-16 -2.94807541E-16 -9.90121376E-16 + 1.29850871E-15 -7.60533413E-16 3.06089517E-16 3.62030284E-14 -3.11242574E-16 + -4.18398806E-16 1.86482774E-14 -6.47274732E-16 -6.89217792E-16 3.16019183E-15 + -9.08458718E-18 4.70557295E-16 -1.50583484E-15 2.42277165E-17 4.58114196E-17 + 1.05564141E-16 -1.46453182E-15 -1.16958309E-15 -3.98529425E-16 1.79222272E-16 + 6.08251183E-16 5.41379838E-16 8.39945823E-16 2.66184381E-15 1.36940346E-17 + 5.46561879E-16 -1.83030674E-14 -4.98937770E-16 2.31336980E-16 -1.09248548E-14 + -1.18979309E-15 -4.20473508E-16 -8.64109131E-17 -5.44797728E-17 -4.85858099E-18 + 2.02393441E-15 -3.03837733E-17 -9.07144758E-17 -3.36286638E-17 -4.85722573E-16 + 1.27334124E-15 3.18878682E-16 -3.15060628E-16 -1.27328110E-16 -8.40144875E-16 + 3.34350824E-16 1.76472432E-17 -8.71398379E-19 1.02673946E-16 -2.47657558E-16 + -1.96939184E-16 -2.65805715E-16 6.88926148E-16 9.17119815E-16 1.30537531E-16 + 1.90480604E-17 2.24832786E-17 1.24762109E-15 1.96654779E-16 9.13672139E-17 + 1.58464957E-15 9.14106522E-16 1.86304219E-15 -3.81131368E-16 -5.60776045E-17 + 2.71736640E-17 -9.54640013E-16 -3.31603870E-16 1.16282695E-16 -7.42353228E-16 +Mulliken Charges R N= 11 + -1.79840292E-01 -1.79847249E-01 5.00282381E-02 -4.09124182E-02 2.02394948E+00 + 2.02395830E+00 -8.64733236E-01 -8.64741310E-01 -6.75548637E-01 -6.46158147E-01 + -6.46154731E-01 +ESP Charges R N= 11 + -1.19822758E-01 -1.19828567E-01 -5.38243531E-01 2.60573695E-01 -4.53200648E-01 + -4.53202800E-01 4.99768812E-01 4.99772652E-01 8.44758043E-02 1.69852310E-01 + 1.69855031E-01 +NPA Charges R N= 11 + 1.19189886E-02 1.19124524E-02 -4.90125807E-01 -1.68930896E-01 -2.75738624E-01 + -2.75738798E-01 2.15242115E-01 2.15244277E-01 2.44723533E-01 2.55745673E-01 + 2.55747087E-01 +Cartesian Gradient R N= 33 + 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 + 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 + 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 + 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 + 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 + 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 + 0.00000000E+00 0.00000000E+00 0.00000000E+00 +Dipole Moment R N= 3 + -7.03674905E-05 -1.48007948E+00 3.65119185E-05 +Quadrupole Moment R N= 6 + -2.47242692E-01 1.51877792E+00 -1.27153523E+00 -5.38260386E-05 7.62644773E-05 + -1.03177996E-04 From c4ac1f2f4d2d0331d0913336d17a9dbf1b663adf Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Wed, 11 Aug 2021 16:00:45 -0400 Subject: [PATCH 045/126] erroneous suffix labeling for redundandNumberDict --- .../annotate_3D/Annotate_3D_Chimera.ipynb | 210 ++++++++---------- 1 file changed, 92 insertions(+), 118 deletions(-) diff --git a/examples/annotate_3D/Annotate_3D_Chimera.ipynb b/examples/annotate_3D/Annotate_3D_Chimera.ipynb index b133ec49..7395f4a2 100644 --- a/examples/annotate_3D/Annotate_3D_Chimera.ipynb +++ b/examples/annotate_3D/Annotate_3D_Chimera.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 18, "id": "1f5c3fdd", "metadata": {}, "outputs": [], @@ -15,15 +15,19 @@ "from rdkit import Chem\n", "from rdkit.Chem import PeriodicTable\n", "\n", + "from chemml.chem import Molecule\n", + "\n", "import os,glob,sys\n", "\n", + "import pandas as pd \n", + "\n", "import mendeleev \n", "from mendeleev import element" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 19, "id": "8d549015", "metadata": {}, "outputs": [ @@ -38,7 +42,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "RDKit WARNING: [14:27:52] Counts line too short: '' on line4\n" + "RDKit WARNING: [14:43:30] Counts line too short: '' on line4\n" ] } ], @@ -46,7 +50,8 @@ "inFile = 'dichloropyridine26_q+0.fchk'\n", "loadInput = load_one(inFile)\n", "dump_one(loadInput,'test.pdb')\n", - "dump_one(loadInput,'test.mol2')\n", + "dump_one(loadInput,'intermediateFile.xyz')\n", + "interFile='intermediateFile.xyz'\n", "molName = inFile[:-5]\n", "mol = Chem.MolFromMolFile('test.mol2')\n", "print(molName)" @@ -54,15 +59,57 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 57, "id": "b6043f33", "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "('Cl', 17)\n", + "('C', 6)\n", + "('C', 6)\n", + "('C', 6)\n", + "('C', 6)\n", + "('C', 6)\n", + "('Cl', 17)\n", + "('N', 7)\n", + "('H', 1)\n", + "('H', 1)\n", + "('H', 1)\n", + "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n" + ] + } + ], + "source": [ + "symList = []\n", + "def rdkitProcessInputs(interFile,symList):\n", + " xyz_files = glob.glob(interFile)\n", + " molecule_list = [Molecule(interFile, input_type='xyz') for file in xyz_files]\n", + " for molecule in molecule_list:\n", + " molecule.to_smiles(kekuleSmiles=True)\n", + " table = pd.DataFrame(data={'Name':interFile, \n", + " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", + " columns=['Name','SMILES'])\n", + " smiles = table.iloc[0,1]\n", + " interMol = Chem.MolFromSmiles(smiles)\n", + "\n", + " interMol = Chem.AddHs(interMol)\n", + "\n", + " for atom in interMol.GetAtoms():\n", + " step = atom.GetSymbol(),atom.GetAtomicNum()\n", + " print(step)\n", + " symList.append(step)\n", + " #print(atom.GetSymbol(), atom.GetAtomicNum(), atom.GetTotalNumHs())\n", + "rdkitProcessInputs(interFile,symList)\n", + "\n", + "print(symList)" + ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 58, "id": "edf3a177", "metadata": {}, "outputs": [ @@ -94,51 +141,65 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "606397d7", "metadata": {}, "outputs": [], "source": [ - "chemSymbolDict = []\n", "\n" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "0c73fda1", "metadata": {}, "outputs": [ { - "ename": "TypeError", - "evalue": "unsupported format string passed to type.__format__", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mredundantNumberDict\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0melement\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnumbers\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mRedundantAtomCheck\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mredundantNumberDict\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mcount\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m~/.conda/envs/chemml_env/lib/python3.7/site-packages/mendeleev/mendeleev.py\u001b[0m in \u001b[0;36melement\u001b[0;34m(ids)\u001b[0m\n\u001b[1;32m 65\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 66\u001b[0m raise ValueError(\n\u001b[0;32m---> 67\u001b[0;31m \u001b[0;34m\"Expected a , , or , got: {0:s}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtype\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mids\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 68\u001b[0m )\n\u001b[1;32m 69\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mTypeError\u001b[0m: unsupported format string passed to type.__format__" + "name": "stdout", + "output_type": "stream", + "text": [ + "['Cl', 'C', 'C', 'C', 'C', 'C', 'Cl', 'N', 'H', 'H', 'H']\n" ] } ], "source": [ "redundantNumberDict = []\n", + "convertedSymDict = []\n", + "\n", + "def ConvertAtomnumToAtomsym(convertedSymDict):\n", + " for i in range(0,len(numbers)):\n", + " if numbers[i] == symList[i][1]:\n", + " step = symList[i][0]\n", + " convertedSymDict.append(step)\n", + " elif numbers[i] != symList[i][1]:\n", + " step = symList[i][0]\n", + " convertedSymDict.append(step)\n", + "ConvertAtomnumToAtomsym(convertedSymDict)\n", + "\n", + "print(convertedSymDict)\n", + "\n", "\n", - "element(numbers[1])\n", "def RedundantAtomCheck(redundantNumberDict):\n", " count = 0\n", - " for i in range(0,len(numbers)):\n", - " if numbers[i] == numbers[i-1]:\n", + " for i in range(len(numbers)):\n", + " \n", + " while numbers[i] != numbers[i-1]: \n", + " count = 1\n", + " step = f\"{convertedSymDict[i]}{count}\"\n", + " redundantNumberDict.append(step)\n", + " \n", + " \n", + " while numbers[i] == numbers[i-1]:\n", " count += 1\n", - " print(f\"{numbers[i]} REDUNANT ATOM! APPENDING INTEGER!\")\n", + " # print(f\"{numbers[i]} REDUNANT ATOM! APPENDING INTEGER!\")\n", "\n", - " step = f\"{numbers[i]}{count}\"\n", - " print(step)\n", + " step = f\"{convertedSymDict[i]}{count}\"\n", + " # print(step)\n", " redundantNumberDict.append(step)\n", - " elif numbers[i] != numbers[i-1]: \n", + " if numbers[i] != numbers[i-1]: \n", " count = 1\n", - " step = f\"{numbers[i]}{count}\"\n", + " step = f\"{convertedSymDict[i]}{count}\"\n", " redundantNumberDict.append(step)\n", " \n", "RedundantAtomCheck(redundantNumberDict)\n", @@ -147,7 +208,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 97, "id": "c0625011", "metadata": {}, "outputs": [], @@ -158,99 +219,12 @@ "#f.write(\"match mode: 1-to-1\\n\")\n", "f.write(\"recipient: atoms\\n\")\n", "count = 0\n", - "for i,p in numChargeDict: \n", + "for i,p in enumerate(redundantNumberDict): \n", " count += 1\n", - " f.write(f\"\\t@{count}\\t{p} \\n\")\n", + " f.write(f\"\\t@{redundantNumberDict[i]}\\t{espCharges[i]} \\n\")\n", "f.close() \n", "\n" ] - }, - { - "cell_type": "code", - "execution_count": 28, - "id": "7a9d69ff", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "17\n", - "17\n", - "7\n", - "6\n", - "6\n", - "6\n", - "6\n", - "6\n", - "1\n", - "1\n", - "1\n" - ] - } - ], - "source": [ - "for x in numbers: \n", - " mystring = x \n", - " print(mystring)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "id": "44b024f7", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[17 17 7 6 6 6 6 6 1 1 1]\n" - ] - } - ], - "source": [ - "print(numbers)" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "id": "f7a711b0", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "RDKit WARNING: [14:20:11] Counts line too short: '' on line4\n" - ] - }, - { - "ename": "AttributeError", - "evalue": "'NoneType' object has no attribute 'GetAtoms'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mmol2\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mChem\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mMolFromMolFile\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'test.mol2'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0;32mfor\u001b[0m \u001b[0matom\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mmol2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mGetAtoms\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0matom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mGetSymbol\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0matom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mGetExplicitValence\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0matom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mGetTotalNumHs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mAttributeError\u001b[0m: 'NoneType' object has no attribute 'GetAtoms'" - ] - } - ], - "source": [ - "mol2 = Chem.MolFromMolFile('test.mol2')\n", - "for atom in mol2.GetAtoms():\n", - " print(atom.GetSymbol(), atom.GetExplicitValence(), atom.GetTotalNumHs())" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e65e56e1", - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From 6c503864c94de31767352b1e1529adf85c485fc6 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Wed, 11 Aug 2021 16:05:13 -0400 Subject: [PATCH 046/126] erroneous suffix labeling for redundandNumberDict --- .../annotate_3D/Annotate_3D_Chimera.ipynb | 26 ++++++++++--------- 1 file changed, 14 insertions(+), 12 deletions(-) diff --git a/examples/annotate_3D/Annotate_3D_Chimera.ipynb b/examples/annotate_3D/Annotate_3D_Chimera.ipynb index 7395f4a2..b97b9098 100644 --- a/examples/annotate_3D/Annotate_3D_Chimera.ipynb +++ b/examples/annotate_3D/Annotate_3D_Chimera.ipynb @@ -151,7 +151,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 106, "id": "0c73fda1", "metadata": {}, "outputs": [ @@ -159,7 +159,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "['Cl', 'C', 'C', 'C', 'C', 'C', 'Cl', 'N', 'H', 'H', 'H']\n" + "['Cl', 'C', 'C', 'C', 'C', 'C', 'Cl', 'N', 'H', 'H', 'H']\n", + "['Cl1', 'C2', 'C1', 'C1', 'C2', 'C3', 'Cl4', 'N5', 'H1', 'H2', 'H3']\n" ] } ], @@ -183,21 +184,14 @@ "def RedundantAtomCheck(redundantNumberDict):\n", " count = 0\n", " for i in range(len(numbers)):\n", - " \n", - " while numbers[i] != numbers[i-1]: \n", - " count = 1\n", - " step = f\"{convertedSymDict[i]}{count}\"\n", - " redundantNumberDict.append(step)\n", - " \n", - " \n", - " while numbers[i] == numbers[i-1]:\n", + " if numbers[i] == numbers[i-1]:\n", " count += 1\n", " # print(f\"{numbers[i]} REDUNANT ATOM! APPENDING INTEGER!\")\n", "\n", " step = f\"{convertedSymDict[i]}{count}\"\n", " # print(step)\n", " redundantNumberDict.append(step)\n", - " if numbers[i] != numbers[i-1]: \n", + " elif numbers[i] != numbers[i-1]: \n", " count = 1\n", " step = f\"{convertedSymDict[i]}{count}\"\n", " redundantNumberDict.append(step)\n", @@ -208,7 +202,7 @@ }, { "cell_type": "code", - "execution_count": 97, + "execution_count": 107, "id": "c0625011", "metadata": {}, "outputs": [], @@ -225,6 +219,14 @@ "f.close() \n", "\n" ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "905b7fdb", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { From 6dd1397feeebdecef0d22ce32619d0e3be210045 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Wed, 11 Aug 2021 17:31:31 -0400 Subject: [PATCH 047/126] atomic numbers are ordered properly, however will have to reorganize how to pair charge with correct atom --- examples/annotate_2D/Annotate_2D.ipynb | 462 +++++++++++++++++++++++++ 1 file changed, 462 insertions(+) create mode 100644 examples/annotate_2D/Annotate_2D.ipynb diff --git a/examples/annotate_2D/Annotate_2D.ipynb b/examples/annotate_2D/Annotate_2D.ipynb new file mode 100644 index 00000000..7993d44a --- /dev/null +++ b/examples/annotate_2D/Annotate_2D.ipynb @@ -0,0 +1,462 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "415389d5", + "metadata": {}, + "source": [ + "# 2D Annotations of Molecules \n", + "\n", + "## Introduction\n", + "The goal of this project is to render a 2 dimensional molecular drawing with annotations detailing a specific feature per atom. \n", + "\n", + "This example \n", + "\n", + "## Dependencies\n", + "1. IOData\n", + "2. Numpy\n", + "3. RDKit\n", + "4. Collections\n", + "5. CHEMML \n", + "6. Pandas\n", + "7. Glob \n", + "8. OS \n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "3744a11c", + "metadata": {}, + "outputs": [], + "source": [ + "# import required libraries\n", + "from iodata import load_one, dump_one\n", + "\n", + "import numpy as np\n", + "\n", + "from rdkit import Chem\n", + "from rdkit.Chem import AllChem\n", + "from rdkit.Chem.rdchem import Atom\n", + "from rdkit.Chem import Draw\n", + "from rdkit.Chem.Draw import rdMolDraw2D\n", + "from rdkit.Chem.Draw import MolToImage\n", + "from rdkit.Chem import rdMolTransforms \n", + "from rdkit.Chem import PeriodicTable\n", + "from rdkit.Chem import rdmolfiles\n", + "from rdkit.Chem.Draw import DrawingOptions\n", + "\n", + "from IPython.display import SVG\n", + "from IPython.display import Image\n", + "\n", + "from collections import OrderedDict\n", + "\n", + "from chemml.chem import Molecule\n", + "\n", + "import pandas as pd\n", + "\n", + "import glob\n", + "import os" + ] + }, + { + "cell_type": "markdown", + "id": "055a3b9c", + "metadata": {}, + "source": [ + "## Manipulation of Input and Extraction of Charges \n", + "\n", + "We first want to open our file using IOData, designated `loadInput`, from then we can extract informations related to the `.fchk` file using IOData to annotate our molecule" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "ee68d1a9", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Molecule Name : \n", + "dichloropyridine26_q+0\n", + " \n" + ] + } + ], + "source": [ + "inputName = 'dichloropyridine26_q+0.fchk'\n", + "loadInput = load_one(inputName) \n", + "\n", + "xyzName = 'dichloropyridine26_q+0.xyz'\n", + "\n", + "molName = xyzName[:-4]\n", + "\n", + "\n", + "print(\"Molecule Name : \")\n", + "print(molName)\n", + "print(\" \")\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "9fb5b251", + "metadata": {}, + "source": [ + "## Manipulate Molecule to Create MOL Object\n", + "We need to dump our IOData loaded molecule into an `.xyz` file, which can then be parsed using `CHEMML`, to create a data table containing basic information such as filename, XYZ Cartesian Coordinates, and the SMILES equivalent of the molecule.\n", + "\n", + "We can then extract the SMILES string and convert into MOL Format for processing by RDKit. \n", + "\n", + "We can then use a series of commands `drawMolecule.*` to generate a visualization of our molecule. \n", + "\n", + "The below image is RDKit visualization without annotations. " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "22744f1d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[,\n", + " pybel_molecule : ,\n", + " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", + " smiles : 'Clc1cccc(Cl)n1',\n", + " smarts : None,\n", + " inchi : None,\n", + " xyz : )>]\n", + " \n", + "\n", + " Name SMILES\n", + "0 dichloropyridine26_q+0.xyz Clc1cccc(Cl)n1\n", + " \n", + "Our Molecule in SMILES format: \n", + "Clc1cccc(Cl)n1\n", + " \n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dump_one(loadInput,xyzName )\n", + "xyz_files = glob.glob(xyzName)\n", + "\n", + "# make a list of ChemML Molecule object instances based on the names of the xyz files from xyz_files\n", + "molecule_list = [Molecule(xyzName, input_type='xyz') for file in xyz_files]\n", + "\n", + "# alter the ChemML Molecule object instances of molecule_list so that their SMILES codes can be recognzied by RDKit\n", + "for molecule in molecule_list:\n", + " molecule.to_smiles(kekuleSmiles=True)\n", + "\n", + "print(molecule_list)\n", + "\n", + "table = pd.DataFrame(data={'Name':xyzName, \n", + " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", + " columns=['Name','SMILES'])\n", + "\n", + "print(\" \")\n", + "print(\"\")\n", + "print(table)\n", + "\n", + "print(\" \")\n", + "smiles = table.iloc[0,1]\n", + "print(\"Our Molecule in SMILES format: \")\n", + "print(smiles)\n", + "print(\" \")\n", + "\n", + "chem = Chem.MolFromSmiles(smiles)\n", + "chemc = Chem.Mol(chem.ToBinary())\n", + "\n", + "drawMolecule = rdMolDraw2D.MolDraw2DCairo(300, 300)\n", + "rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chemc)\n", + "drawMolecule.drawOptions().addStereoAnnotation = True\n", + "#drawMolecule.drawOptions().addAtomIndices = True\n", + "#drawMolecule.drawOptions().addBondIndices = True\n", + "drawMolecule.DrawMolecule(chemc)\n", + "drawMolecule.FinishDrawing()\n", + "png = drawMolecule.WriteDrawingText('molecule.png')\n", + "png\n", + "\n", + "Image(filename=\"molecule.png\")\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "id": "18c584a4", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n", + "['Cl', 'C', 'C', 'C', 'C', 'C', 'Cl', 'N', 'H', 'H', 'H']\n" + ] + } + ], + "source": [ + "symList =[]\n", + "atomList = []\n", + "chem2 = Chem.AddHs(chem)\n", + "for atom in chem2.GetAtoms():\n", + " step = atom.GetSymbol(),atom.GetAtomicNum()\n", + " symList.append(step)\n", + " atomList.append(atom.GetSymbol())\n", + "print(symList)\n", + "print(atomList)" + ] + }, + { + "cell_type": "markdown", + "id": "a6bf61ec", + "metadata": {}, + "source": [ + "## Annotations\n", + "We now want to retrieve IOData information, and add it to our visualization by appending the information to the MOL Object. \n", + "\n", + "In this context, we are outputting atomic number and electrostatic potential charges. \n" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "id": "cb1be89f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "IOData Retrieved Charges, Bulk : \n", + "{'mulliken': array([-0.17984029, -0.17984725, 0.05002824, -0.04091242, 2.02394948,\n", + " 2.0239583 , -0.86473324, -0.86474131, -0.67554864, -0.64615815,\n", + " -0.64615473]), 'esp': array([-0.11982276, -0.11982857, -0.53824353, 0.26057369, -0.45320065,\n", + " -0.4532028 , 0.49976881, 0.49977265, 0.0844758 , 0.16985231,\n", + " 0.16985503]), 'npa': array([ 0.01191899, 0.01191245, -0.49012581, -0.1689309 , -0.27573862,\n", + " -0.2757388 , 0.21524212, 0.21524428, 0.24472353, 0.25574567,\n", + " 0.25574709])}\n", + " \n", + "IOData Retrieved Atomic Numbers : \n", + "[17, 17, 7, 6, 6, 6, 6, 6, 1, 1, 1]\n", + " \n", + " IOData Retrieved ESP Charges : \n", + "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", + " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", + " \n", + "STEST\n", + "[('H', 0.169855031)]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "chem2 = chem\n", + "\n", + "\n", + "numbers = np.ndarray.tolist(loadInput.atnums)\n", + "print(\"IOData Retrieved Charges, Bulk : \")\n", + "chargeDict = (loadInput.atcharges)\n", + "print(chargeDict)\n", + "\n", + "espCharges = (chargeDict['esp'][:])\n", + "print(\" \")\n", + "print(\"IOData Retrieved Atomic Numbers : \")\n", + "print(numbers)\n", + "\n", + "print(\" \")\n", + "print(\" IOData Retrieved ESP Charges : \")\n", + "print(espCharges)\n", + "print(\" \")\n", + "dict = []\n", + "print(\"STEST\")\n", + "for i in range(0,len(numbers)):\n", + " step = numbers[i],espCharges[i]\n", + " dict.append(step)\n", + "\n", + "test = []\n", + "\n", + "\n", + "def function(test):\n", + " if symList[i][1] == dict[i][0]:\n", + " step = atomList[i],dict[i][1]\n", + " test.append(step)\n", + "function(test)\n", + "print(test)\n", + "for i, atom in enumerate(chem2.GetAtoms()):\n", + " atom.SetProp(\"atomNote\", f\"{symList[i][1],np.round(float(espCharges[i]),4)}\")\n", + "\n", + "chem2\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "111db663", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cl 17 -0.119822758\n", + "C 6 -0.119828567\n", + "C 6 -0.538243531\n", + "C 6 0.260573695\n", + "C 6 -0.453200648\n", + "C 6 -0.4532028\n", + "Cl 17 0.499768812\n", + "N 7 0.499772652\n" + ] + } + ], + "source": [ + "for i,atom in enumerate(chem2.GetAtoms()):\n", + " print(atom.GetSymbol(), atom.GetAtomicNum(), espCharges[i])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "1432506b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'\\nlistAtomicNumbers = np.ndarray.tolist(atomicNumbers)\\nprint(listAtomicNumbers)\\n\\nlistChargesESP = np.ndarray.tolist(espCharges)\\nprint(listChargesESP)\\n\\natomChargeDict = {}\\n\\nfor key in listAtomicNumbers: \\n for value in listChargesESP: \\n atomChargeDict[key] = np.round(float(value),4)\\n listChargesESP.remove(value)\\n break\\nprint(atomChargeDict)\\n'" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'''\n", + "\n", + "for item in loadInput.atcharges[\"esp\"]:\n", + " key = loadInput.atnums\n", + " listCharge = item\n", + " print(listCharge)\n", + " \n", + "for number in loadInput.atnums: \n", + " print(number)\n", + " \n", + "\n", + "q = pd.DataFrame.from_dict(loadInput.atcharges.items())\n", + "print(\"Atomic Charges : \")\n", + "print(q)\n", + "print(\" \")\n", + "\n", + "espCharges = q.iloc[1,1]\n", + "print(\"Charges, ESP : \")\n", + "print(espCharges)\n", + "print(\" \")\n", + "\n", + "atomicNumbers = loadInput.atnums\n", + "print(\"Atomic Numbers : \")\n", + "print(atomicNumbers)\n", + "'''\n", + "\n", + "'''\n", + "listAtomicNumbers = np.ndarray.tolist(atomicNumbers)\n", + "print(listAtomicNumbers)\n", + "\n", + "listChargesESP = np.ndarray.tolist(espCharges)\n", + "print(listChargesESP)\n", + "\n", + "atomChargeDict = {}\n", + "\n", + "for key in listAtomicNumbers: \n", + " for value in listChargesESP: \n", + " atomChargeDict[key] = np.round(float(value),4)\n", + " listChargesESP.remove(value)\n", + " break\n", + "print(atomChargeDict)\n", + "'''\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8a5c1c12", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f9c16415", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a006790a", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:.conda-chemml_env] *", + "language": "python", + "name": "conda-env-.conda-chemml_env-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From a5cd671feaa013259d0820812b46347f400f20ed Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Wed, 11 Aug 2021 23:20:20 -0400 Subject: [PATCH 048/126] revised function for coloring esp isosurfaces in chimerax --- examples/esp/chimerax_vis_esp.py | 122 +++++++++++++++++++++++++++++++ 1 file changed, 122 insertions(+) create mode 100644 examples/esp/chimerax_vis_esp.py diff --git a/examples/esp/chimerax_vis_esp.py b/examples/esp/chimerax_vis_esp.py new file mode 100644 index 00000000..a3e7d206 --- /dev/null +++ b/examples/esp/chimerax_vis_esp.py @@ -0,0 +1,122 @@ +from chimerax.core.commands import run +from chimerax.core import errors +from chimerax.map import Volume,VolumeSurface +from chimerax import io +""" +THIS SCRIPT IS DESIGNED TO TAKE GAUSSIAN CUBE FILES AND VISUALIZE THE FILES IN CHIMERAX + +TO EXECUTE SCRIPT RUN : + +chimerax + +ChimeraX can be found here, with stable and nightly releases : + +https://www.cgl.ucsf.edu/chimerax/download.html + +PARAMETERS : + session, as is + ChimeraX uses this to recognize to run this within the same session + + outFile, string + name of output file + + outSuffix, string + Suffix of output file + OPTIONS: + XYZ + PDB + CXS (DEFAULT CHIMERAX SAVE STATE) + PNG + CUBE + + isoFile, string + Input file to create the volume isosurfaces, + Should have suffic *_esp.cube + + colorFile + Input file to use as a color map + should have suffix *_rho.cube + + isoSurf, float + This float instructs ChimeraX to display a certain isosurface level + + material, string + define the material for the surface volume rendering + OPTIONS: + shiny + dull + + lighting, string + define the lighting of the render window + OPTIONS: + simple + full + + shadows, string + Define if we want to include shadows in our render + OPTIONS + True + False + NOTE: cannot be boolean + + scalemin, float + Defines the minimum electrostatic potential for colorization + NOTE : If both scalemin and scalemax are left empty, ChimeraX will automatically attempt to compute a range, sometimes this is not necessarily accurate however + + scalemax, flaot + Defines the maximum electrostatic potential for colorization + NOTE : If both scalemin and scalemax are left empty, ChimeraX will automatically attempt to compute a range, sometimes this is not necessarily accurate however + + representation, string + defines how the isosurfaces should be rendered + OPTIONS: + surface (default and recommended) + mesh + + colorscheme, float, or color1:color2:color3:color(n+1)... format for custom schemes + defines the colorization of the color gradient function, AKA palette in ChimeraX terminology + OPTIONS: + Custom + rainbow + red-white-blue + grayscale + please see https://www.rbvi.ucsf.edu/chimerax/docs/user/commands/color.html#palette-options for more options +""" + +def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, isoSurf, material, scalemin,scalemax,colorscheme,representation, lighting, shadows,silhouettes): + run(session, 'open %s' % (isoFile)) # Open ESP + run(session, 'open %s' % (colorFile)) # Open RHO + run(session, 'hide #2') # Hides Colorfile from Rendering Window + run(session, 'volume #1 style %s level %s' % (representation , isoSurf)) # Setup Volume + run(session, 'color gradient #1 map #2 palette %s range %s,%s' % (colorscheme , scalemin , scalemax)) + run(session, 'material %s' % (material)) # establish surface material + run(session, 'lighting %s' % (lighting)) + run(session, 'lighting shadows %s' % (shadows)) + + # SAVE OUTFILE.OUTSUFFIX + run(session, 'save %s.%s' % (outFile,outSuffix)) + + #END FUNCTION + +# INPUT FILE VALUES HERE +isoFile = 'dichloropyridine26_q+0_esp.cube' +colorFile = 'dichloropyridine26_q+0_rho.cube' + +# OUTPUT FILENAME AND SUFFIX HERE +outFile = 'test' +outSuffix = 'cxs' + +#THESE ARE DEFAULT VALUES +isoSurf = .055 +material = 'shiny' +colorscheme = '#b700ff:#8801ff:#2934ff:#31ff38:#ca1818' # THIS IS A CUSTOM FORMAT !!! +representation = 'surface' +lighting = 'full' +silhouettes = 'False' +shadows = 'False' +scalemin = -0.2 +scalemax = 0.2 + + +# CALL FUNCTION HERE +print_chimerax_isosurfaces(session,outFile,outSuffix,isoFile,colorFile,isoSurf,material,scalemin,scalemax,colorscheme,representation,lighting,shadows,silhouettes) From 68d1923888264920220c96b9b7d381added15efb Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Thu, 12 Aug 2021 13:18:24 -0400 Subject: [PATCH 049/126] cl and n match for example, however, Carbons are all incorrect --- examples/annotate_2D/Annotate_2D.ipynb | 173 ++++++------ .../Annotate_3D_Chimera_Stage1.ipynb | 253 ++++++++++++++++++ .../annotate_3D/Annotate_3D_Chimera_Stage2.py | 84 ++++++ 3 files changed, 429 insertions(+), 81 deletions(-) create mode 100644 examples/annotate_3D/Annotate_3D_Chimera_Stage1.ipynb create mode 100644 examples/annotate_3D/Annotate_3D_Chimera_Stage2.py diff --git a/examples/annotate_2D/Annotate_2D.ipynb b/examples/annotate_2D/Annotate_2D.ipynb index 7993d44a..fea05118 100644 --- a/examples/annotate_2D/Annotate_2D.ipynb +++ b/examples/annotate_2D/Annotate_2D.ipynb @@ -25,7 +25,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 49, "id": "3744a11c", "metadata": {}, "outputs": [], @@ -71,7 +71,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 50, "id": "ee68d1a9", "metadata": { "scrolled": true @@ -119,7 +119,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 51, "id": "22744f1d", "metadata": {}, "outputs": [ @@ -128,8 +128,8 @@ "output_type": "stream", "text": [ "[,\n", - " pybel_molecule : ,\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", @@ -152,7 +152,7 @@ "" ] }, - "execution_count": 4, + "execution_count": 51, "metadata": {}, "output_type": "execute_result" } @@ -204,7 +204,7 @@ }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 52, "id": "18c584a4", "metadata": {}, "outputs": [ @@ -226,7 +226,7 @@ " symList.append(step)\n", " atomList.append(atom.GetSymbol())\n", "print(symList)\n", - "print(atomList)" + "print(atomList)\n" ] }, { @@ -242,7 +242,39 @@ }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 188, + "id": "16a79a6d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n", + "matched list (error): \n", + "[(('Cl', 17), -0.119828567), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('Cl', 17), -0.119828567), (('N', 7), -0.538243531), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('Cl', 17), -0.119828567), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('Cl', 17), -0.119828567), (('N', 7), -0.538243531), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('Cl', 17), -0.119828567), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('Cl', 17), -0.119828567), (('N', 7), -0.538243531), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('H', 1), 0.169855031)]\n" + ] + } + ], + "source": [ + "print(symList)\n", + "\n", + "for i,value in enumerate(symList): \n", + " test = value\n", + " for k,charge in enumerate(espCharges):\n", + " if value[1] == numbers[k]:\n", + " test2 = espCharges[k]\n", + " step = test,test2\n", + " matchedList.append(step)\n", + " \n", + " \n", + "print(\"matched list (error): \")\n", + "print(matchedList)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 186, "id": "cb1be89f", "metadata": {}, "outputs": [ @@ -272,20 +304,18 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, - "execution_count": 78, + "execution_count": 186, "metadata": {}, "output_type": "execute_result" } ], "source": [ "chem2 = chem\n", - "\n", - "\n", "numbers = np.ndarray.tolist(loadInput.atnums)\n", "print(\"IOData Retrieved Charges, Bulk : \")\n", "chargeDict = (loadInput.atcharges)\n", @@ -316,7 +346,7 @@ "function(test)\n", "print(test)\n", "for i, atom in enumerate(chem2.GetAtoms()):\n", - " atom.SetProp(\"atomNote\", f\"{symList[i][1],np.round(float(espCharges[i]),4)}\")\n", + " atom.SetProp(\"atomNote\", f\"{matchedList[i][1]}\")\n", "\n", "chem2\n", "\n", @@ -325,98 +355,79 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "111db663", "metadata": { "scrolled": true }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8a5c1c12", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f9c16415", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 54, + "id": "a006790a", + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Cl 17 -0.119822758\n", - "C 6 -0.119828567\n", - "C 6 -0.538243531\n", - "C 6 0.260573695\n", - "C 6 -0.453200648\n", - "C 6 -0.4532028\n", - "Cl 17 0.499768812\n", - "N 7 0.499772652\n" + "OrderedDict([('Cl', 17), ('C', 6), ('N', 7), ('H', 1)])\n" ] } ], "source": [ - "for i,atom in enumerate(chem2.GetAtoms()):\n", - " print(atom.GetSymbol(), atom.GetAtomicNum(), espCharges[i])\n" + "print(OrderedDict(symList[:]))" ] }, { "cell_type": "code", - "execution_count": 7, - "id": "1432506b", + "execution_count": 114, + "id": "ba56304c", "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "'\\nlistAtomicNumbers = np.ndarray.tolist(atomicNumbers)\\nprint(listAtomicNumbers)\\n\\nlistChargesESP = np.ndarray.tolist(espCharges)\\nprint(listChargesESP)\\n\\natomChargeDict = {}\\n\\nfor key in listAtomicNumbers: \\n for value in listChargesESP: \\n atomChargeDict[key] = np.round(float(value),4)\\n listChargesESP.remove(value)\\n break\\nprint(atomChargeDict)\\n'" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "['17,-0.119822758', '17,-0.119828567', '7,-0.538243531', '6,0.260573695', '6,-0.453200648', '6,-0.4532028', '6,0.499768812', '6,0.499772652', '1,0.0844758043', '1,0.16985231', '1,0.169855031']\n" + ] } ], "source": [ - "'''\n", - "\n", - "for item in loadInput.atcharges[\"esp\"]:\n", - " key = loadInput.atnums\n", - " listCharge = item\n", - " print(listCharge)\n", - " \n", - "for number in loadInput.atnums: \n", - " print(number)\n", - " \n", - "\n", - "q = pd.DataFrame.from_dict(loadInput.atcharges.items())\n", - "print(\"Atomic Charges : \")\n", - "print(q)\n", - "print(\" \")\n", - "\n", - "espCharges = q.iloc[1,1]\n", - "print(\"Charges, ESP : \")\n", - "print(espCharges)\n", - "print(\" \")\n", - "\n", - "atomicNumbers = loadInput.atnums\n", - "print(\"Atomic Numbers : \")\n", - "print(atomicNumbers)\n", - "'''\n", - "\n", - "'''\n", - "listAtomicNumbers = np.ndarray.tolist(atomicNumbers)\n", - "print(listAtomicNumbers)\n", - "\n", - "listChargesESP = np.ndarray.tolist(espCharges)\n", - "print(listChargesESP)\n", - "\n", - "atomChargeDict = {}\n", - "\n", - "for key in listAtomicNumbers: \n", - " for value in listChargesESP: \n", - " atomChargeDict[key] = np.round(float(value),4)\n", - " listChargesESP.remove(value)\n", - " break\n", - "print(atomChargeDict)\n", - "'''\n" + "temp = symList\n", + "lol = []\n", + "for i,value in enumerate(symList): \n", + "\n", + " for k,charge in enumerate(espCharges):\n", + " if symList[k][1] == numbers[i]:\n", + " test = symList[k]\n", + " test2 = espCharges[i]\n", + " lol.append(f\"{test[:][1]},{test2}\")\n", + "print(lol)" ] }, { "cell_type": "code", "execution_count": null, - "id": "8a5c1c12", + "id": "6df6eba9", "metadata": {}, "outputs": [], "source": [] @@ -424,7 +435,7 @@ { "cell_type": "code", "execution_count": null, - "id": "f9c16415", + "id": "357cb026", "metadata": {}, "outputs": [], "source": [] @@ -432,7 +443,7 @@ { "cell_type": "code", "execution_count": null, - "id": "a006790a", + "id": "ad39db6d", "metadata": {}, "outputs": [], "source": [] diff --git a/examples/annotate_3D/Annotate_3D_Chimera_Stage1.ipynb b/examples/annotate_3D/Annotate_3D_Chimera_Stage1.ipynb new file mode 100644 index 00000000..b97b9098 --- /dev/null +++ b/examples/annotate_3D/Annotate_3D_Chimera_Stage1.ipynb @@ -0,0 +1,253 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 18, + "id": "1f5c3fdd", + "metadata": {}, + "outputs": [], + "source": [ + "import iodata\n", + "from iodata import load_one,dump_one\n", + "import numpy as np\n", + "\n", + "import rdkit\n", + "from rdkit import Chem\n", + "from rdkit.Chem import PeriodicTable\n", + "\n", + "from chemml.chem import Molecule\n", + "\n", + "import os,glob,sys\n", + "\n", + "import pandas as pd \n", + "\n", + "import mendeleev \n", + "from mendeleev import element" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "8d549015", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "dichloropyridine26_q+0\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "RDKit WARNING: [14:43:30] Counts line too short: '' on line4\n" + ] + } + ], + "source": [ + "inFile = 'dichloropyridine26_q+0.fchk'\n", + "loadInput = load_one(inFile)\n", + "dump_one(loadInput,'test.pdb')\n", + "dump_one(loadInput,'intermediateFile.xyz')\n", + "interFile='intermediateFile.xyz'\n", + "molName = inFile[:-5]\n", + "mol = Chem.MolFromMolFile('test.mol2')\n", + "print(molName)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "b6043f33", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "('Cl', 17)\n", + "('C', 6)\n", + "('C', 6)\n", + "('C', 6)\n", + "('C', 6)\n", + "('C', 6)\n", + "('Cl', 17)\n", + "('N', 7)\n", + "('H', 1)\n", + "('H', 1)\n", + "('H', 1)\n", + "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n" + ] + } + ], + "source": [ + "symList = []\n", + "def rdkitProcessInputs(interFile,symList):\n", + " xyz_files = glob.glob(interFile)\n", + " molecule_list = [Molecule(interFile, input_type='xyz') for file in xyz_files]\n", + " for molecule in molecule_list:\n", + " molecule.to_smiles(kekuleSmiles=True)\n", + " table = pd.DataFrame(data={'Name':interFile, \n", + " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", + " columns=['Name','SMILES'])\n", + " smiles = table.iloc[0,1]\n", + " interMol = Chem.MolFromSmiles(smiles)\n", + "\n", + " interMol = Chem.AddHs(interMol)\n", + "\n", + " for atom in interMol.GetAtoms():\n", + " step = atom.GetSymbol(),atom.GetAtomicNum()\n", + " print(step)\n", + " symList.append(step)\n", + " #print(atom.GetSymbol(), atom.GetAtomicNum(), atom.GetTotalNumHs())\n", + "rdkitProcessInputs(interFile,symList)\n", + "\n", + "print(symList)" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "edf3a177", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "[(17, -0.119822758), (17, -0.119828567), (7, -0.538243531), (6, 0.260573695), (6, -0.453200648), (6, -0.4532028), (6, 0.499768812), (6, 0.499772652), (1, 0.0844758043), (1, 0.16985231), (1, 0.169855031)]\n" + ] + } + ], + "source": [ + "\n", + "espCharges = (loadInput.atcharges['esp'][:])\n", + "numbers = loadInput.atnums\n", + "\n", + "print(\"\")\n", + "\n", + "numChargeDict = []\n", + "for i in range(0,len(numbers)):\n", + " step=numbers[i],espCharges[i]\n", + " numChargeDict.append(step)\n", + " \n", + "print(numChargeDict)\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "606397d7", + "metadata": {}, + "outputs": [], + "source": [ + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "id": "0c73fda1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['Cl', 'C', 'C', 'C', 'C', 'C', 'Cl', 'N', 'H', 'H', 'H']\n", + "['Cl1', 'C2', 'C1', 'C1', 'C2', 'C3', 'Cl4', 'N5', 'H1', 'H2', 'H3']\n" + ] + } + ], + "source": [ + "redundantNumberDict = []\n", + "convertedSymDict = []\n", + "\n", + "def ConvertAtomnumToAtomsym(convertedSymDict):\n", + " for i in range(0,len(numbers)):\n", + " if numbers[i] == symList[i][1]:\n", + " step = symList[i][0]\n", + " convertedSymDict.append(step)\n", + " elif numbers[i] != symList[i][1]:\n", + " step = symList[i][0]\n", + " convertedSymDict.append(step)\n", + "ConvertAtomnumToAtomsym(convertedSymDict)\n", + "\n", + "print(convertedSymDict)\n", + "\n", + "\n", + "def RedundantAtomCheck(redundantNumberDict):\n", + " count = 0\n", + " for i in range(len(numbers)):\n", + " if numbers[i] == numbers[i-1]:\n", + " count += 1\n", + " # print(f\"{numbers[i]} REDUNANT ATOM! APPENDING INTEGER!\")\n", + "\n", + " step = f\"{convertedSymDict[i]}{count}\"\n", + " # print(step)\n", + " redundantNumberDict.append(step)\n", + " elif numbers[i] != numbers[i-1]: \n", + " count = 1\n", + " step = f\"{convertedSymDict[i]}{count}\"\n", + " redundantNumberDict.append(step)\n", + " \n", + "RedundantAtomCheck(redundantNumberDict)\n", + "print(redundantNumberDict)" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "id": "c0625011", + "metadata": {}, + "outputs": [], + "source": [ + " \n", + "f = open(\"test.defattr\", \"w\")\n", + "f.write(\"attribute: myFactor\\n\")\n", + "#f.write(\"match mode: 1-to-1\\n\")\n", + "f.write(\"recipient: atoms\\n\")\n", + "count = 0\n", + "for i,p in enumerate(redundantNumberDict): \n", + " count += 1\n", + " f.write(f\"\\t@{redundantNumberDict[i]}\\t{espCharges[i]} \\n\")\n", + "f.close() \n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "905b7fdb", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:.conda-chemml_env] *", + "language": "python", + "name": "conda-env-.conda-chemml_env-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/examples/annotate_3D/Annotate_3D_Chimera_Stage2.py b/examples/annotate_3D/Annotate_3D_Chimera_Stage2.py new file mode 100644 index 00000000..8f72bfa0 --- /dev/null +++ b/examples/annotate_3D/Annotate_3D_Chimera_Stage2.py @@ -0,0 +1,84 @@ +from chimerax.core.commands import run + +# END DEPENDENCIES +""" +THIS SCRIPT IS STAGE 2 OF A 3D MOLECULAR ANNOTATION PIPLINE +TO GENERATE THE INTERMEDIATE ATTRIBUTE FILE AND PDB FILE, RUN STAGE 1 SCRIPT FIRST + +THIS SCRIPT USES CHIMERAX AS A VISUALIZATION PLATFORM DISTRIBUTED BY THE UNIVERSITY OF CALIFORNIA SAN FRANCISCO + +CHIMERAX DAILY AND STABLE BUILDS AVAILABLE HERE: + + +TO EXECUTE THIS SCRIPT, RUN IN COMMAND LINE : + + chimerax + + +PARAMETERS + + session + This instructs ChimeraX to run all commands within the same environment, and does not need to be initialized + + moleculeFile, string + This string represents the input molecular file + + annotationFile, string ,must have *.defattr as suffix + This represents then name of the input annotation file + + attributeName, string + This is the name of the attribute factor being used, which can be found in the first line of the attributeFile + + outputFileName, string + This represents the output file name + + outputFileType, string + This represents the output file type + OPTIONS + CXS - CHIMERAX SAVE STATE + PNG + style, string + This represents how the molecule should be rendered + OPTIONS: + stick (default) + sphere + ball-and-stick + + units, string + This specifies that we are working with atoms, + + lighting, string + This specifies the lighting of the ChimeraX render window + OPTIONS: + simple (default) + full + +END PARAMETERS +""" + +def annotateChimerax(session,moleculeFile,annotationFile,attributeName,outputFileName,outputFileType,style,units,lighting): + run(session,'open %s' % (moleculeFile)) + run(session,'open %s' % (annotationFile)) + run(session,'label #1 %s attribute %s' %(units, attributeName) ) + run(session,'lighting %s' %(lighting)) + run(session,'save %s.%s' %(outputFileName, outputFileType)) + +# INPUT FILES +moleculeFile = 'dichloropyridine26_q+0.pdb' +annotationFile = 'test.defattr' + +# ATTRIBUTE NAME +attributeName = 'myFactor' + +#OUTPUT FILES +outputFileName = moleculeFile[:-4] +outputFileType = 'cxs' + +# VISUALIZATION PARAMETERS +style = 'stick' +units = 'atoms' +lighting = 'simple' + + +# ACTIVATE COMMAND +annotateChimerax(session,moleculeFile,annotationFile,attributeName,outputFileName,outputFileType,style,units,lighting) From 1ad16513422e8f731fe0d77e1f4e051e3b771cd5 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Thu, 12 Aug 2021 13:24:54 -0400 Subject: [PATCH 050/126] cl and n match for example, however, Carbons are all incorrect --- examples/annotate_2D/Annotate_2D.ipynb | 96 +++++++++++++++++++------- 1 file changed, 70 insertions(+), 26 deletions(-) diff --git a/examples/annotate_2D/Annotate_2D.ipynb b/examples/annotate_2D/Annotate_2D.ipynb index fea05118..ebb17fd0 100644 --- a/examples/annotate_2D/Annotate_2D.ipynb +++ b/examples/annotate_2D/Annotate_2D.ipynb @@ -25,7 +25,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 189, "id": "3744a11c", "metadata": {}, "outputs": [], @@ -71,7 +71,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 190, "id": "ee68d1a9", "metadata": { "scrolled": true @@ -119,7 +119,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 191, "id": "22744f1d", "metadata": {}, "outputs": [ @@ -129,7 +129,7 @@ "text": [ "[,\n", - " pybel_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", @@ -152,7 +152,7 @@ "" ] }, - "execution_count": 51, + "execution_count": 191, "metadata": {}, "output_type": "execute_result" } @@ -204,7 +204,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 192, "id": "18c584a4", "metadata": {}, "outputs": [ @@ -242,8 +242,8 @@ }, { "cell_type": "code", - "execution_count": 188, - "id": "16a79a6d", + "execution_count": 207, + "id": "5ec5be3a", "metadata": {}, "outputs": [ { @@ -251,30 +251,74 @@ "output_type": "stream", "text": [ "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n", - "matched list (error): \n", - "[(('Cl', 17), -0.119828567), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('Cl', 17), -0.119828567), (('N', 7), -0.538243531), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('Cl', 17), -0.119828567), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('Cl', 17), -0.119828567), (('N', 7), -0.538243531), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('Cl', 17), -0.119828567), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('Cl', 17), -0.119828567), (('N', 7), -0.538243531), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('H', 1), 0.169855031)]\n" + " \n", + "-0.119822758\n", + "-0.119828567\n", + "0.260573695\n", + "-0.453200648\n", + "-0.4532028\n", + "0.499768812\n", + "0.499772652\n", + "0.260573695\n", + "-0.453200648\n", + "-0.4532028\n", + "0.499768812\n", + "0.499772652\n", + "0.260573695\n", + "-0.453200648\n", + "-0.4532028\n", + "0.499768812\n", + "0.499772652\n", + "0.260573695\n", + "-0.453200648\n", + "-0.4532028\n", + "0.499768812\n", + "0.499772652\n", + "0.260573695\n", + "-0.453200648\n", + "-0.4532028\n", + "0.499768812\n", + "0.499772652\n", + "-0.119822758\n", + "-0.119828567\n", + "-0.538243531\n", + "0.0844758043\n", + "0.16985231\n", + "0.169855031\n", + "0.0844758043\n", + "0.16985231\n", + "0.169855031\n", + "0.0844758043\n", + "0.16985231\n", + "0.169855031\n", + " \n", + "matche list ERROR NEED DEBUG: \n", + "[(('Cl', 17), -0.119828567), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('Cl', 17), -0.119828567), (('N', 7), -0.538243531), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('H', 1), 0.169855031)]\n" ] } ], "source": [ "print(symList)\n", - "\n", - "for i,value in enumerate(symList): \n", - " test = value\n", - " for k,charge in enumerate(espCharges):\n", - " if value[1] == numbers[k]:\n", - " test2 = espCharges[k]\n", - " step = test,test2\n", - " matchedList.append(step)\n", - " \n", - " \n", - "print(\"matched list (error): \")\n", + "def matchListCharges():\n", + " matchedList = []\n", + " for i,value in enumerate(symList): \n", + " test = value\n", + " for k,charge in enumerate(espCharges):\n", + " if value[1] == numbers[k]:\n", + " test2 = espCharges[k]\n", + " print(test2) #DEBUG REMOVE LATER\n", + " step = test,test2\n", + " matchedList.append(step)\n", + "print(\" \")\n", + "matchListCharges()\n", + "print(\" \")\n", + "print(\"matche list ERROR NEED DEBUG: \")\n", "print(matchedList)\n" ] }, { "cell_type": "code", - "execution_count": 186, + "execution_count": 208, "id": "cb1be89f", "metadata": {}, "outputs": [ @@ -306,10 +350,10 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, - "execution_count": 186, + "execution_count": 208, "metadata": {}, "output_type": "execute_result" } @@ -435,7 +479,7 @@ { "cell_type": "code", "execution_count": null, - "id": "357cb026", + "id": "f9b62834", "metadata": {}, "outputs": [], "source": [] @@ -443,7 +487,7 @@ { "cell_type": "code", "execution_count": null, - "id": "ad39db6d", + "id": "1593459e", "metadata": {}, "outputs": [], "source": [] From ca36a8e5059d75d2a5cfffdb390fe9440ed4b3c5 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Thu, 12 Aug 2021 16:29:09 -0400 Subject: [PATCH 051/126] consolidated gradient vector field into independent function, however scalar counterplot unfinished --- examples/plotting/2D_Plotting_Gradient.ipynb | 433 ++++++++++++++----- 1 file changed, 336 insertions(+), 97 deletions(-) diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index d7d63ae6..7106c193 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -22,7 +22,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 102, "metadata": { "scrolled": true }, @@ -31,7 +31,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Initialized: \n", + "Initialized: \n", " Number of basis functions : 219\n", " Number of normalization constants : 453\n", " Maximum shell type : 2\n", @@ -58,10 +58,7 @@ " [ 2.13769600e+00 5.39705784e-01 7.55890453e-05]\n", " [-1.70075352e-04 -5.47831606e+00 1.51178091e-04]\n", " [-4.10063012e+00 -3.05289036e+00 -7.55890453e-05]\n", - " [ 4.10047894e+00 -3.05315492e+00 2.83458920e-04]]\n", - " \n", - "Atomic Numbers Each Atom: \n", - "[17 17 7 6 6 6 6 6 1 1 1]\n" + " [ 4.10047894e+00 -3.05315492e+00 2.83458920e-04]]\n" ] } ], @@ -79,10 +76,7 @@ "\n", "print(\"XYZ Coordinates: \")\n", "print(coord)\n", - "\n", - "print(\" \")\n", - "print(\"Atomic Numbers Each Atom: \")\n", - "print(mol.numbers)" + "\n" ] }, { @@ -139,34 +133,6 @@ "## Plot our rotated coordinates" ] }, - { - "cell_type": "code", - "execution_count": 89, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "rot_coords = np.dot(rot, (coord - coord[0]).T).T\n", - "\n", - "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\")\n", - "plt.title(\"Molecular Coordinates Translate Rotated to x,y-Axis\")\n", - "plt.show()" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -178,7 +144,7 @@ }, { "cell_type": "code", - "execution_count": 124, + "execution_count": 104, "metadata": { "scrolled": true }, @@ -192,6 +158,9 @@ } ], "source": [ + "rot_coords = np.dot(rot, (coord - coord[0]).T).T\n", + "\n", + "\n", "l_bnd = np.min(rot_coords, axis=0) - 1\n", "u_bnd = np.max(rot_coords, axis=0) + 1\n", "print(l_bnd)\n", @@ -213,7 +182,7 @@ }, { "cell_type": "code", - "execution_count": 125, + "execution_count": 105, "metadata": {}, "outputs": [], "source": [ @@ -246,31 +215,25 @@ }, { "cell_type": "code", - "execution_count": 130, + "execution_count": 106, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[2.17212008e-04 3.59387779e-04 5.82559952e-04 ... 6.25544026e-06\n", - " 4.63270562e-06 3.42546710e-06]\n" - ] - }, - { - "ename": "ValueError", - "evalue": "shapes (1764,) and (3,) not aligned: 1764 (dim 0) != 3 (dim 0)", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgradients\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0mproj_gradients\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgradients\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgradients\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnormal\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnewaxis\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mnormal\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0;31m# Make sure it is on the plane by making sure it is orthogonal to the normal.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;32massert\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mall\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mproj_gradients\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnormal\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m1e-5\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mValueError\u001b[0m: shapes (1764,) and (3,) not aligned: 1764 (dim 0) != 3 (dim 0)" + "[[ 1.70982687e-05 5.10868096e-04 -6.55691344e-09]\n", + " [-2.04658254e-05 8.72965114e-04 -1.29942129e-08]\n", + " [-1.34014657e-04 1.43885163e-03 -2.51374698e-08]\n", + " ...\n", + " [ 3.92944438e-08 -8.98940297e-06 1.84799988e-10]\n", + " [ 3.01288771e-09 -6.67502749e-06 1.34390522e-10]\n", + " [ 4.24791253e-09 -4.95304702e-06 9.83619427e-11]]\n" ] } ], "source": [ - "gradients = mol.compute_density(grid_plane)\n", + "gradients = mol.compute_gradient(grid_plane)\n", "print(gradients)\n", "\n", "proj_gradients = gradients - np.dot(gradients, normal)[:, np.newaxis] * normal\n", @@ -283,7 +246,7 @@ }, { "cell_type": "code", - "execution_count": 119, + "execution_count": 107, "metadata": {}, "outputs": [ { @@ -312,15 +275,15 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 108, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[ 3.68499490e-04 5.94077058e-04 9.07301444e-04 ... -6.24042800e-06\n", - " -4.65254625e-06 -3.45087013e-06]\n", + "[ 0.72091656 0.68034089 0.62785585 ... -0.69419164 -0.69700773\n", + " -0.69671635]\n", "[[-11.15737795 -4.13120126]\n", " [-11.15737795 -3.83120126]\n", " [-11.15737795 -3.53120126]\n", @@ -347,31 +310,170 @@ }, { "cell_type": "code", - "execution_count": 127, + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'\\nx= grid_2d[:,0]\\ny = grid_2d[:,1]\\nX, Y = np.meshgrid(x, y)\\nZ = mol.compute_density(grid_plane)\\ngradients = Z\\nproj_gradients = gradients - np.dot(gradients, normal)[:, np.newaxis] * normal\\n\\nprint(Z)\\n\\n\\nplt.figure(figsize=(10,10))\\nplt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\\nplt.legend()\\nplt.contour(X,Y,Z)\\n#plt.contourf(X,Y,Z, cmap=\\'Reds\\')\\n\\nplt.show()\\n'" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "coord1 = coord[0] \n", + "coord2 = coord[1]\n", + "coord3 = coord[2]\n", + "\n", + "v1, v2 = coord2 - coord1, coord3 - coord1\n", + "normal = np.cross(v1, v2)\n", + "normal /= np.linalg.norm(normal)\n", + "\n", + "\n", + "'''\n", + "x= grid_2d[:,0]\n", + "y = grid_2d[:,1]\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = mol.compute_density(grid_plane)\n", + "gradients = Z\n", + "proj_gradients = gradients - np.dot(gradients, normal)[:, np.newaxis] * normal\n", + "\n", + "print(Z)\n", + "\n", + "\n", + "plt.figure(figsize=(10,10))\n", + "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", + "plt.legend()\n", + "plt.contour(X,Y,Z)\n", + "#plt.contourf(X,Y,Z, cmap='Reds')\n", + "\n", + "plt.show()\n", + "'''" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [], + "source": [ + "def plotVectorFieldOverPlane(coord1,coord2,coord3,vectorFunc,step_size=0.3, title=''):\n", + " \"\"\"\n", + " PARAMETERS\n", + " \n", + " coord1 : np.ndarray(3,)\n", + " First point on plane \n", + " \n", + " coord2 : np.ndarray(3,) \n", + " Second Point on plane\n", + " \n", + " coord3 : np.ndarray(3,)\n", + " Third Point on Plane\n", + " \n", + " vectorFunct : callabel() \n", + " Vector Field that inputs 3D point to 3D point \n", + " \n", + " stepSize : float\n", + " Step Size of 2D Affine Grid\n", + " \n", + " title : str\n", + " Title\n", + " \n", + " color : str\n", + " Color of Gradient Arrows \n", + " \n", + " \"\"\"\n", + "\n", + " v1, v2 = coord2 - coord1, coord3 - coord1\n", + " normal = np.cross(v1, v2)\n", + " normal /= np.linalg.norm(normal)\n", + "\n", + " a, b, c = normal\n", + " cos_theta = c\n", + " sin_theta = np.sqrt(a**2.0 + b**2.0)\n", + " u_1 = b / np.sqrt(a**2.0 + b**2.0)\n", + " u_2 = -a / np.sqrt(a**2.0 + b**2.0)\n", + " rot = np.array([\n", + " [cos_theta + u_1**2.0 * (1 - cos_theta), u_1 * u_2 * (1 - cos_theta), u_2 * sin_theta],\n", + " [u_1 * u_2 * (1 - cos_theta), cos_theta + u_2**2.0 * (1 - cos_theta), -u_1 * sin_theta],\n", + " [-u_2 * sin_theta, u_1 * sin_theta, cos_theta]\n", + " ])\n", + " rot_coords = np.dot(rot, (coord - coord[0]).T).T\n", + "\n", + "\n", + " l_bnd = np.min(rot_coords, axis=0) - 1\n", + " u_bnd = np.max(rot_coords, axis=0) + 1\n", + " print(l_bnd)\n", + " \n", + " x_grid = np.arange(l_bnd[0], u_bnd[0] + step_size, step_size)\n", + " y_grid = np.arange(l_bnd[1], u_bnd[1] + step_size, step_size)\n", + " grid_2d = np.array(np.meshgrid(x_grid, y_grid)).T.reshape(-1,2)\n", + "\n", + " # Add zero z-axis and rotate it and translate it to the plane\n", + " grid_zeros = np.hstack((grid_2d, np.zeros((grid_2d.shape[0], 1), dtype=np.float)))\n", + " grid_plane = np.einsum(\"ij,kj->ki\", rot.T, grid_zeros)\n", + " assert np.all(np.abs(np.dot(grid_plane, normal)) < 1e-5)\n", + " grid_plane += coord[0]\n", + " \n", + " vectorFunc = mol.compute_gradient(grid_plane)\n", + " gradients = vectorFunc\n", + " print(gradients)\n", + "\n", + " proj_gradients = gradients - np.dot(gradients, normal)[:, np.newaxis] * normal\n", + " # Make sure it is on the plane by making sure it is orthogonal to the normal.\n", + " assert np.all(np.dot(proj_gradients, normal) < 1e-5)\n", + " # Rotate the projected gradients onto two-dimensions.\n", + " rot_proj_gradients = np.dot(rot, proj_gradients.T).T\n", + " assert np.all(np.abs(rot_proj_gradients[:, 2]) < 1e-8)\n", + " \n", + " # Rotate Projected Plane.\n", + " rot_proj_gradients /= np.linalg.norm(rot_proj_gradients, axis=1).reshape((-1, 1))\n", + " plt.figure(figsize=(10,10))\n", + " plt.quiver(grid_2d[:, 0], grid_2d[:, 1],\n", + " rot_proj_gradients[:, 0], rot_proj_gradients[:, 1],color='black', scale=40)\n", + " plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", + " plt.legend()\n", + " \n", + " plt.title(title)\n", + " plt.show()\n", + "\n", + " \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 55, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[[11.8976429 11.8976429 11.8976429 ... 4.28630482 4.28630482\n", - " 4.28630482]\n", - " [11.79682948 11.79682948 11.79682948 ... 3.99796051 3.99796051\n", - " 3.99796051]\n", - " [11.70284005 11.70284005 11.70284005 ... 3.71146434 3.71146434\n", - " 3.71146434]\n", + "[-11.15737795 -4.13120126 -1.00005684]\n", + "[[ 1.70982687e-05 5.10868096e-04 -6.55691344e-09]\n", + " [-1.04931053e-05 7.99884048e-04 -1.16055706e-08]\n", + " [-8.37508916e-05 1.22474323e-03 -2.02612834e-08]\n", " ...\n", - " [13.48235132 13.48235132 13.48235132 ... 7.6545607 7.6545607\n", - " 7.6545607 ]\n", - " [13.65302444 13.65302444 13.65302444 ... 7.95132559 7.95132559\n", - " 7.95132559]\n", - " [13.82810021 13.82810021 13.82810021 ... 8.24832455 8.24832455\n", - " 8.24832455]]\n" + " [ 3.37264489e-08 -9.01586420e-06 1.84176696e-10]\n", + " [ 3.25398635e-09 -7.02805652e-06 1.41053402e-10]\n", + " [ 2.07112074e-09 -5.47775577e-06 1.08597246e-10]]\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -382,62 +484,154 @@ "output_type": "display_data" } ], + "source": [ + "plotVectorFieldOverPlane(coord[0],coord[1],coord[2],vectorFunc = mol.compute_gradient(grid_plane),step_size=0.25, title='Gradient Vector Field of Electrostatic Density')" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [], + "source": [ + "scalar_func = ''\n", + "levels = 1\n", + "coord1 = coord[0]\n", + "coord2 = coord[1]\n", + "coord3 = coord[2]\n", + "def PlotContourOverPlane(coord1,coord2,coord3,scalar_func, levels, step_size=0.5):\n", + " coord1 = coord[0] \n", + " coord2 = coord[1]\n", + " coord3 = coord[2]\n", + " \n", + " \n", + " \n", + "PlotContourOverPlane(coord1,coord2,coord3,scalar_func, levels, step_size=0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2.17212008e-04 3.59387779e-04 5.82559952e-04 ... 6.25544026e-06\n", + " 4.63270562e-06 3.42546710e-06]\n" + ] + } + ], "source": [ "\n", - "#plt.contour(grid_2d[:, 0], grid_2d[:, 1], zdir='x')\n", - "\n", - "x= grid_2d[:,0]\n", - "y = grid_2d[:,1]\n", - "\n", - "X, Y = np.meshgrid(x, y)\n", - "Z = np.sqrt((X**2) + (Y**2))\n", - "\n", - "print(Z)\n", + "electroDensity = mol.compute_density(grid_plane)\n", + "print(electroDensity)" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [ + { + "ename": "TypeError", + "evalue": "Input z must be a 2D array.", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0mlevels\u001b[0m \u001b[0;34m=\u001b[0m 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "xRange = grid_2d[:,0]\n", + "yRange = grid_2d[:,1]\n", + "xy = np.meshgrid(xRange,yRange)\n", "\n", + "density = mol.compute_density(grid_plane)\n", "\n", - "plt.figure(figsize=(10,10))\n", - "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", - "plt.legend()\n", - "plt.contour(X,Y,Z)\n", - "#plt.contourf(X,Y,Z, cmap='Reds')\n", + "levels = np.array([0.001 * n for n in range(500)])\n", "\n", - "plt.show()" + "plt.contour(xRange,yRange,density,levels)" ] }, { "cell_type": "code", - "execution_count": 129, + "execution_count": 139, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ + "[[ 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n", + " [-6.90578162e+00 7.09758945e+00 3.32933254e-20]\n", + " [-3.78908149e+00 3.22168550e+00 6.49732457e-21]\n", + " [-7.55924902e+00 -4.46580843e-01 -2.63191882e-05]\n", + " [-5.01995578e+00 -1.16084361e+00 -2.95672968e-05]\n", + " [-8.20369267e+00 2.11132954e+00 -7.37073181e-07]\n", + " [-3.23205529e+00 7.81105542e-01 -5.68426273e-05]\n", + " [-6.21348886e+00 3.84534212e+00 3.37365785e-05]\n", + " [-9.03609861e+00 -1.88352622e+00 -2.26066815e-05]\n", + " [-4.43829811e+00 -3.13120126e+00 -4.03176841e-05]\n", + " [-1.01573780e+01 2.74675040e+00 -8.11709351e-06]]\n", + "grid plane\n", "[[-1.31954229e-01 -8.56611497e+00 1.84489266e-04]\n", " [ 8.30704494e-02 -8.35691557e+00 1.90532869e-04]\n", " [ 2.98095128e-01 -8.14771618e+00 1.96576472e-04]\n", " ...\n", " [-3.23166990e-01 8.40867332e+00 -1.66595694e-04]\n", " [-1.08142311e-01 8.61787272e+00 -1.60552091e-04]\n", - " [ 1.06882368e-01 8.82707212e+00 -1.54508488e-04]]\n" + " [ 1.06882368e-01 8.82707212e+00 -1.54508488e-04]]\n", + " \n", + "desnities:\n", + "[[ 1.70982687e-05 5.10868096e-04 -6.55691344e-09]\n", + " [-2.04658254e-05 8.72965114e-04 -1.29942129e-08]\n", + " [-1.34014657e-04 1.43885163e-03 -2.51374698e-08]\n", + " ...\n", + " [ 3.92944438e-08 -8.98940297e-06 1.84799988e-10]\n", + " [ 3.01288771e-09 -6.67502749e-06 1.34390522e-10]\n", + " [ 4.24791253e-09 -4.95304702e-06 9.83619427e-11]]\n" ] }, { "ename": "TypeError", - "evalue": "Input z must be a 2D array.", + "evalue": "Length of x must be number of columns in z.", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcontour\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgrid_2d\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m 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b**2.0)\n", + "y = u_2 = -a / np.sqrt(a**2.0 + b**2.0)\n", + "\n", + "cos, sin = np.cos(costheta), np.sin(sintheta)\n", + "j = np.matrix([[cos, sin], [-sin, cos]])\n", + "m = np.dot(j, [x, y])\n", + "m1 =m.T[0]\n", + "m2 = m.T[1]\n", + "rot_coords = np.dot(rot, (coord - coord[0]).T).T\n", + "\n", + "print(rot_coords)\n", + "\n", + "\n", + "l_bnd = np.min(rot_coords, axis=0) - 1\n", + "u_bnd = np.max(rot_coords, axis=0) + 1\n", + "\n", + " \n", + "x_grid = np.arange(l_bnd[0], u_bnd[0] + step_size, step_size)\n", + "y_grid = np.arange(l_bnd[1], u_bnd[1] + step_size, step_size)\n", + "grid_2d = np.array(np.meshgrid(x_grid, y_grid)).T.reshape(-1,2)\n", + "\n", + "grid2d = np.meshgrid(coord1,coord2)\n", + "\n", + "\n", + "grid_zeros = np.hstack((grid_2d, np.zeros((grid_2d.shape[0], 1), dtype=np.float)))\n", + "grid_plane = np.einsum(\"ij,kj->ki\", rot.T, grid_zeros)\n", + "assert np.all(np.abs(np.dot(grid_plane, normal)) < 1e-5)\n", + "grid_plane += coord[0]\n", + "print(\"grid plane\")\n", "print(grid_plane)\n", - "electron_density = mol.compute_density(grid_plane)\n", - "levels = '1'\n", "\n", + "x = grid_plane[:,0]\n", + "y = grid_plane[:,1]\n", + "scalarFunc = mol.compute_gradient(grid_plane)\n", + "\n", + "print(\" \")\n", + "print(\"desnities:\")\n", + "print(scalarFunc)\n", + "\n", + "levels = np.array([0.001 * n * n for n in range(500)])\n", "\n", - "plt.contour(grid_2d[:, 0],grid_2d[:, 1],electron_density,levels)" + "plt.contour(x,y,scalarFunc,levels)\n", + "plt.show()" ] }, { From 26c029a7096a06e0ff824b72c33f7562980dd098 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Thu, 12 Aug 2021 16:34:27 -0400 Subject: [PATCH 052/126] consolidated gradient vector field into independent function, however scalar counterplot unfinished --- examples/plotting/2D_Plotting_Gradient.ipynb | 59 ++------------------ 1 file changed, 5 insertions(+), 54 deletions(-) diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index 7106c193..a226f05d 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -531,55 +531,7 @@ }, { "cell_type": "code", - "execution_count": 101, - "metadata": {}, - "outputs": [ - { - "ename": "TypeError", - "evalue": "Input z must be a 2D array.", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0mlevels\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0.001\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mn\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mn\u001b[0m \u001b[0;32min\u001b[0m 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "xRange = grid_2d[:,0]\n", - "yRange = grid_2d[:,1]\n", - "xy = np.meshgrid(xRange,yRange)\n", - "\n", - "density = mol.compute_density(grid_plane)\n", - "\n", - "levels = np.array([0.001 * n for n in range(500)])\n", - "\n", - "plt.contour(xRange,yRange,density,levels)" - ] - }, - { - "cell_type": "code", - "execution_count": 139, + "execution_count": 142, "metadata": {}, "outputs": [ { @@ -623,7 +575,7 @@ "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 48\u001b[0m \u001b[0mlevels\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0.001\u001b[0m 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np.all(np.abs(np.dot(grid_plane, normal)) < 1e-5)\n", "grid_plane += coord[0]\n", "print(\"grid plane\")\n", "print(grid_plane)\n", "\n", - "x = grid_plane[:,0]\n", - "y = grid_plane[:,1]\n", + "x = grid_2d[:,0]\n", + "y = grid_2d[:,1]\n", "scalarFunc = mol.compute_gradient(grid_plane)\n", "\n", "print(\" \")\n", From c33d91f8e591afb97a7b714af13d9bf7f2b388ce Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Thu, 12 Aug 2021 19:27:48 -0400 Subject: [PATCH 053/126] redone scalar plot, errors with projection --- examples/plotting/2D_Plotting_Gradient.ipynb | 203 ++++++++++--------- 1 file changed, 106 insertions(+), 97 deletions(-) diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index a226f05d..24648d29 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -364,11 +364,20 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 203, "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "SyntaxError", + "evalue": "invalid syntax (, line 45)", + "output_type": "error", + "traceback": [ + "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m45\u001b[0m\n\u001b[0;31m return rot\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" + ] + } + ], "source": [ - "def plotVectorFieldOverPlane(coord1,coord2,coord3,vectorFunc,step_size=0.3, title=''):\n", + "def plotVectorFieldOverPlane(coord1,coord2,coord3,vectorFunc,step_size=0.32, title=''):\n", " \"\"\"\n", " PARAMETERS\n", " \n", @@ -400,15 +409,25 @@ " normal /= np.linalg.norm(normal)\n", "\n", " a, b, c = normal\n", - " cos_theta = c\n", - " sin_theta = np.sqrt(a**2.0 + b**2.0)\n", - " u_1 = b / np.sqrt(a**2.0 + b**2.0)\n", - " u_2 = -a / np.sqrt(a**2.0 + b**2.0)\n", - " rot = np.array([\n", - " [cos_theta + u_1**2.0 * (1 - cos_theta), u_1 * u_2 * (1 - cos_theta), u_2 * sin_theta],\n", - " [u_1 * u_2 * (1 - cos_theta), cos_theta + u_2**2.0 * (1 - cos_theta), -u_1 * sin_theta],\n", - " [-u_2 * sin_theta, u_1 * sin_theta, cos_theta]\n", - " ])\n", + " \n", + " def _rotate_3d(normal):\n", + " \"\"\"\n", + " This function is intended to consolitate the rotate \n", + " and scale operation of the matrix\n", + " \"\"\"\n", + " a,b,c = normal\n", + " cos_theta = c\n", + " sin_theta = np.sqrt(a**2.0 + b**2.0)\n", + " u_1 = b / np.sqrt(a**2.0 + b**2.0)\n", + " u_2 = -a / np.sqrt(a**2.0 + b**2.0)\n", + " rot = np.array([\n", + " [cos_theta + u_1**2.0 * (1 - cos_theta), u_1 * u_2 * (1 - cos_theta), u_2 * sin_theta],\n", + " [u_1 * u_2 * (1 - cos_theta), cos_theta + u_2**2.0 * (1 - cos_theta), -u_1 * sin_theta],\n", + " [-u_2 * sin_theta, u_1 * sin_theta, cos_theta]\n", + " \n", + " \n", + " return rot\n", + " _rotate_3d(normal)\n", " rot_coords = np.dot(rot, (coord - coord[0]).T).T\n", "\n", "\n", @@ -423,7 +442,6 @@ " # Add zero z-axis and rotate it and translate it to the plane\n", " grid_zeros = np.hstack((grid_2d, np.zeros((grid_2d.shape[0], 1), dtype=np.float)))\n", " grid_plane = np.einsum(\"ij,kj->ki\", rot.T, grid_zeros)\n", - " assert np.all(np.abs(np.dot(grid_plane, normal)) < 1e-5)\n", " grid_plane += coord[0]\n", " \n", " vectorFunc = mol.compute_gradient(grid_plane)\n", @@ -431,11 +449,7 @@ " print(gradients)\n", "\n", " proj_gradients = gradients - np.dot(gradients, normal)[:, np.newaxis] * normal\n", - " # Make sure it is on the plane by making sure it is orthogonal to the normal.\n", - " assert np.all(np.dot(proj_gradients, normal) < 1e-5)\n", - " # Rotate the projected gradients onto two-dimensions.\n", " rot_proj_gradients = np.dot(rot, proj_gradients.T).T\n", - " assert np.all(np.abs(rot_proj_gradients[:, 2]) < 1e-8)\n", " \n", " # Rotate Projected Plane.\n", " rot_proj_gradients /= np.linalg.norm(rot_proj_gradients, axis=1).reshape((-1, 1))\n", @@ -531,24 +545,16 @@ }, { "cell_type": "code", - "execution_count": 142, + "execution_count": 199, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[[ 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n", - " [-6.90578162e+00 7.09758945e+00 3.32933254e-20]\n", - " [-3.78908149e+00 3.22168550e+00 6.49732457e-21]\n", - " [-7.55924902e+00 -4.46580843e-01 -2.63191882e-05]\n", - " [-5.01995578e+00 -1.16084361e+00 -2.95672968e-05]\n", - " [-8.20369267e+00 2.11132954e+00 -7.37073181e-07]\n", - " [-3.23205529e+00 7.81105542e-01 -5.68426273e-05]\n", - " [-6.21348886e+00 3.84534212e+00 3.37365785e-05]\n", - " [-9.03609861e+00 -1.88352622e+00 -2.26066815e-05]\n", - " [-4.43829811e+00 -3.13120126e+00 -4.03176841e-05]\n", - " [-1.01573780e+01 2.74675040e+00 -8.11709351e-06]]\n", + "[[-6.97331320e-01 7.16748929e-01 -4.77061362e-05]\n", + " [ 7.16748929e-01 6.97331321e-01 2.01453432e-05]\n", + " [ 4.77061362e-05 -2.01453432e-05 -9.99999999e-01]]\n", "grid plane\n", "[[-1.31954229e-01 -8.56611497e+00 1.84489266e-04]\n", " [ 8.30704494e-02 -8.35691557e+00 1.90532869e-04]\n", @@ -556,81 +562,61 @@ " ...\n", " [-3.23166990e-01 8.40867332e+00 -1.66595694e-04]\n", " [-1.08142311e-01 8.61787272e+00 -1.60552091e-04]\n", - " [ 1.06882368e-01 8.82707212e+00 -1.54508488e-04]]\n", - " \n", - "desnities:\n", - "[[ 1.70982687e-05 5.10868096e-04 -6.55691344e-09]\n", - " [-2.04658254e-05 8.72965114e-04 -1.29942129e-08]\n", - " [-1.34014657e-04 1.43885163e-03 -2.51374698e-08]\n", - " ...\n", - " [ 3.92944438e-08 -8.98940297e-06 1.84799988e-10]\n", - " [ 3.01288771e-09 -6.67502749e-06 1.34390522e-10]\n", - " [ 4.24791253e-09 -4.95304702e-06 9.83619427e-11]]\n" + " [ 1.06882368e-01 8.82707212e+00 -1.54508488e-04]]\n" ] }, { - "ename": "TypeError", - "evalue": "Length of x must be number of columns in z.", + "ename": "ValueError", + "evalue": "shapes (1764,) and (3,) not aligned: 1764 (dim 0) != 3 (dim 0)", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 47\u001b[0m \u001b[0mlevels\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0.001\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mn\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mn\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mn\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m500\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 48\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 49\u001b[0;31m 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\u001b[0mscalarFuncPlot\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 53\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 54\u001b[0;31m \u001b[0mproj\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mscalarFuncPlot\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mnormal\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreshape\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 55\u001b[0m \u001b[0mrotProj\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrot\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mproj\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 56\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: shapes (1764,) and (3,) not aligned: 1764 (dim 0) != 3 (dim 0)" ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" } ], "source": [ - "v1, v2 = coord1, coord2\n", + "coord1 = coord[0]\n", + "coord2 = coord[1]\n", + "coord3 = coord[2]\n", + "\n", + "\n", + "v1, v2 = coord1 - coord3, coord2 - coord3\n", "normal = np.cross(v1, v2)\n", "normal /= np.linalg.norm(normal)\n", "\n", "a, b, c = normal\n", + "def _get_rotation_matrix_to_xy_plane(normal): \n", + " \"\"\"\n", + " This function is designed to consolidate a 2D rotate \n", + " operation, returning rot, which can then be used \n", + " to determine the rotated coordinates by computing the dot \n", + " product \n", + " \"\"\"\n", + " a,b,c = normal\n", + " costheta = c\n", + " sintheta = np.sqrt(a**2.0 + b**2.0)\n", + " x = u_1 = b / np.sqrt(a**2.0 + b**2.0)\n", + " y = u_2 = -a / np.sqrt(a**2.0 + b**2.0)\n", "\n", - "costheta = c\n", - "sintheta = np.sqrt(a**2.0 + b**2.0)\n", - "x = u_1 = b / np.sqrt(a**2.0 + b**2.0)\n", - "y = u_2 = -a / np.sqrt(a**2.0 + b**2.0)\n", - "\n", - "cos, sin = np.cos(costheta), np.sin(sintheta)\n", - "j = np.matrix([[cos, sin], [-sin, cos]])\n", - "m = np.dot(j, [x, y])\n", - "m1 =m.T[0]\n", - "m2 = m.T[1]\n", - "rot_coords = np.dot(rot, (coord - coord[0]).T).T\n", + " cos, sin = np.cos(costheta), np.sin(sintheta)\n", + " rot = np.matrix([[cos, sin], [-sin, cos]])\n", "\n", - "print(rot_coords)\n", + " return rot\n", + "_get_rotation_matrix_to_xy_plane(normal)\n", + "print(rot)\n", "\n", + "rot_coords = np.dot(rot, (coord - coord[0]).T).T\n", "\n", "l_bnd = np.min(rot_coords, axis=0) - 1\n", "u_bnd = np.max(rot_coords, axis=0) + 1\n", "\n", - " \n", "x_grid = np.arange(l_bnd[0], u_bnd[0] + step_size, step_size)\n", "y_grid = np.arange(l_bnd[1], u_bnd[1] + step_size, step_size)\n", "grid_2d = np.array(np.meshgrid(x_grid, y_grid)).T.reshape(-1,2)\n", "\n", - "grid2d = np.meshgrid(coord1,coord2)\n", - "\n", "\n", "grid_zeros = np.hstack((grid_2d, np.zeros((grid_2d.shape[0], 1), dtype=np.float)))\n", "grid_plane = np.einsum(\"ij,kj->ki\", rot.T, grid_zeros)\n", @@ -638,33 +624,56 @@ "print(\"grid plane\")\n", "print(grid_plane)\n", "\n", - "x = grid_2d[:,0]\n", - "y = grid_2d[:,1]\n", - "scalarFunc = mol.compute_gradient(grid_plane)\n", + "x = grid_plane[:,0]\n", + "y = grid_plane[:,1]\n", + "scalarFunc = mol.compute_density(grid_plane)\n", + "scalarFuncPlot = np.array(scalarFunc)\n", + "\n", + "#proj = (np.dot(x, y) / np.linalg.norm(y))\n", + "scalarFuncPlot = np.broadcast_to((scalarFuncPlot*scalarFuncPlot).sum(-1)[...,None], scalarFuncPlot.shape)\n", "\n", - "print(\" \")\n", - "print(\"desnities:\")\n", - "print(scalarFunc)\n", + "proj = np.dot(scalarFuncPlot,normal).reshape(-1,1)\n", + "rotProj = np.dot(rot,proj.T).T\n", "\n", - "levels = np.array([0.001 * n * n for n in range(500)])\n", + "rotProj /=np.linalg.norm(rotProj,axis=1).reshape((-1,1))\n", + "scalarFuncPlot = np.array(scalarFunc)\n", + "proj_density = scalarFunc - np.dot(scalarFunc, proj)[:, np.newaxis] * proj\n", + "print(proj_density)\n", "\n", - "plt.contour(x,y,scalarFunc,levels)\n", + "\n", + "#scalarFuncPlot = scalarFuncPlot.reshape(len(x),len(y))\n", + "#levels = np.array([0.001 * n * n for n in range(1)])\n", + "levels = 1\n", + "#plt.contour(x,y,scalarFuncPlot,levels)\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, + "execution_count": 185, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 1.70982687e-05 5.10868096e-04 -6.55691344e-09]\n", + " [-2.04658254e-05 8.72965114e-04 -1.29942129e-08]\n", + " [-1.34014657e-04 1.43885163e-03 -2.51374698e-08]\n", + " ...\n", + " [ 3.92944438e-08 -8.98940297e-06 1.84799988e-10]\n", + " [ 3.01288771e-09 -6.67502749e-06 1.34390522e-10]\n", + " [ 4.24791253e-09 -4.95304702e-06 9.83619427e-11]]\n", + "[2.17212008e-04 3.59387779e-04 5.82559952e-04 ... 6.25544026e-06\n", + " 4.63270562e-06 3.42546710e-06]\n" + ] + } + ], + "source": [ + "gradient = mol.compute_gradient(grid_plane)\n", + "print(gradient)\n", + "print(scalarFunc)" + ] } ], "metadata": { From a88fe5701e0dc067fe7601a47e834a6b9c202c4c Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 13 Aug 2021 08:36:33 -0400 Subject: [PATCH 054/126] increased number of shades for color gradient, produces more VMD-like output surface visualization --- examples/esp/chimerax_vis_esp.py | 48 +++++++++++++++++--------------- 1 file changed, 25 insertions(+), 23 deletions(-) diff --git a/examples/esp/chimerax_vis_esp.py b/examples/esp/chimerax_vis_esp.py index a3e7d206..3d643da9 100644 --- a/examples/esp/chimerax_vis_esp.py +++ b/examples/esp/chimerax_vis_esp.py @@ -13,23 +13,24 @@ https://www.cgl.ucsf.edu/chimerax/download.html + PARAMETERS : session, as is ChimeraX uses this to recognize to run this within the same session - outFile, string + outFile, str name of output file - outSuffix, string + outSuffix, str Suffix of output file - OPTIONS: + Options: XYZ PDB CXS (DEFAULT CHIMERAX SAVE STATE) PNG CUBE - isoFile, string + isoFile, str Input file to create the volume isosurfaces, Should have suffic *_esp.cube @@ -40,19 +41,19 @@ isoSurf, float This float instructs ChimeraX to display a certain isosurface level - material, string + material, str define the material for the surface volume rendering OPTIONS: shiny dull - lighting, string + lighting, str define the lighting of the render window OPTIONS: simple full - shadows, string + shadows, str Define if we want to include shadows in our render OPTIONS True @@ -61,19 +62,17 @@ scalemin, float Defines the minimum electrostatic potential for colorization - NOTE : If both scalemin and scalemax are left empty, ChimeraX will automatically attempt to compute a range, sometimes this is not necessarily accurate however scalemax, flaot Defines the maximum electrostatic potential for colorization - NOTE : If both scalemin and scalemax are left empty, ChimeraX will automatically attempt to compute a range, sometimes this is not necessarily accurate however - representation, string + representation, str defines how the isosurfaces should be rendered OPTIONS: surface (default and recommended) mesh - colorscheme, float, or color1:color2:color3:color(n+1)... format for custom schemes + colorscheme, str, or color1:color2:color3:color(n+1)... format for custom schemes defines the colorization of the color gradient function, AKA palette in ChimeraX terminology OPTIONS: Custom @@ -81,16 +80,20 @@ red-white-blue grayscale please see https://www.rbvi.ucsf.edu/chimerax/docs/user/commands/color.html#palette-options for more options + + END PARAMETERS + """ + def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, isoSurf, material, scalemin,scalemax,colorscheme,representation, lighting, shadows,silhouettes): - run(session, 'open %s' % (isoFile)) # Open ESP - run(session, 'open %s' % (colorFile)) # Open RHO - run(session, 'hide #2') # Hides Colorfile from Rendering Window - run(session, 'volume #1 style %s level %s' % (representation , isoSurf)) # Setup Volume + run(session, 'open %s' % (isoFile)) # Open ESP + run(session, 'open %s' % (colorFile)) # Open RHO + run(session, 'hide #2') # Hides Colorfile from Rendering Window + run(session, 'volume #1 style %s level %s' % (representation , isoSurf)) # Setup Volume run(session, 'color gradient #1 map #2 palette %s range %s,%s' % (colorscheme , scalemin , scalemax)) - run(session, 'material %s' % (material)) # establish surface material - run(session, 'lighting %s' % (lighting)) + run(session, 'material %s' % (material)) # establish surface material + run(session, 'lighting %s' % (lighting)) #establish lighting and shadows run(session, 'lighting shadows %s' % (shadows)) # SAVE OUTFILE.OUTSUFFIX @@ -103,19 +106,18 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is colorFile = 'dichloropyridine26_q+0_rho.cube' # OUTPUT FILENAME AND SUFFIX HERE -outFile = 'test' -outSuffix = 'cxs' +outFile = isoFile[:-9] # Removes '_esp.cube' from esp cube file to generate name +outSuffix = 'png' #THESE ARE DEFAULT VALUES isoSurf = .055 material = 'shiny' -colorscheme = '#b700ff:#8801ff:#2934ff:#31ff38:#ca1818' # THIS IS A CUSTOM FORMAT !!! +colorscheme = '#b800ff:#7500ff:#6500ff:#5405ff:#3000ff:#2934ff:#31ff38:#ca1313:#ca1111:#ca1818' # THIS FORMAT IS USERMADE AND NOT FOUND IN DOCUMENTATION representation = 'surface' lighting = 'full' -silhouettes = 'False' shadows = 'False' -scalemin = -0.2 -scalemax = 0.2 +scalemin = -.02 +scalemax = .02 # CALL FUNCTION HERE From 4c96de5c7018e5b25a268bf64903dfca2c245c3a Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 13 Aug 2021 10:08:50 -0400 Subject: [PATCH 055/126] add --- examples/annotate_2D/Annotate_2D.ipynb | 318 ++++++++---------- .../Annotate_3D_Chimera_Stage1.ipynb | 134 ++++++-- .../annotate_3D/Annotate_3D_Chimera_Stage2.py | 2 +- examples/plotting/2D_Plotting_Gradient.ipynb | 175 ++++------ 4 files changed, 319 insertions(+), 310 deletions(-) diff --git a/examples/annotate_2D/Annotate_2D.ipynb b/examples/annotate_2D/Annotate_2D.ipynb index ebb17fd0..8b8e0669 100644 --- a/examples/annotate_2D/Annotate_2D.ipynb +++ b/examples/annotate_2D/Annotate_2D.ipynb @@ -25,7 +25,7 @@ }, { "cell_type": "code", - "execution_count": 189, + "execution_count": 145, "id": "3744a11c", "metadata": {}, "outputs": [], @@ -71,7 +71,7 @@ }, { "cell_type": "code", - "execution_count": 190, + "execution_count": 146, "id": "ee68d1a9", "metadata": { "scrolled": true @@ -94,7 +94,7 @@ "xyzName = 'dichloropyridine26_q+0.xyz'\n", "\n", "molName = xyzName[:-4]\n", - "\n", + "imageName = f\"{molName}.png\" \n", "\n", "print(\"Molecule Name : \")\n", "print(molName)\n", @@ -119,7 +119,7 @@ }, { "cell_type": "code", - "execution_count": 191, + "execution_count": 148, "id": "22744f1d", "metadata": {}, "outputs": [ @@ -128,8 +128,8 @@ "output_type": "stream", "text": [ "[,\n", - " pybel_molecule : ,\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", @@ -152,7 +152,7 @@ "" ] }, - "execution_count": 191, + "execution_count": 148, "metadata": {}, "output_type": "execute_result" } @@ -187,24 +187,27 @@ "chem = Chem.MolFromSmiles(smiles)\n", "chemc = Chem.Mol(chem.ToBinary())\n", "\n", - "drawMolecule = rdMolDraw2D.MolDraw2DCairo(300, 300)\n", - "rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chemc)\n", - "drawMolecule.drawOptions().addStereoAnnotation = True\n", - "#drawMolecule.drawOptions().addAtomIndices = True\n", - "#drawMolecule.drawOptions().addBondIndices = True\n", - "drawMolecule.DrawMolecule(chemc)\n", - "drawMolecule.FinishDrawing()\n", - "png = drawMolecule.WriteDrawingText('molecule.png')\n", + "def imageMolecule(chem):\n", + " \"\"\"\n", + " This function consolidates all calls done to generate the desired image\n", + " \"\"\"\n", + " drawMolecule = rdMolDraw2D.MolDraw2DCairo(300, 300)\n", + " rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chemc)\n", + " drawMolecule.drawOptions().addStereoAnnotation = True\n", + " drawMolecule.DrawMolecule(chemc)\n", + " drawMolecule.FinishDrawing()\n", + " png = drawMolecule.WriteDrawingText(imageName)\n", + " png\n", + " Image(filename=imageName)\n", + "\n", + "imageMolecule(chem)\n", "png\n", - "\n", - "Image(filename=\"molecule.png\")\n", - "\n", - "\n" + "Image(filename=\"molecule.png\")\n" ] }, { "cell_type": "code", - "execution_count": 192, + "execution_count": 38, "id": "18c584a4", "metadata": {}, "outputs": [ @@ -242,83 +245,7 @@ }, { "cell_type": "code", - "execution_count": 207, - "id": "5ec5be3a", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n", - " \n", - "-0.119822758\n", - "-0.119828567\n", - "0.260573695\n", - "-0.453200648\n", - "-0.4532028\n", - "0.499768812\n", - "0.499772652\n", - "0.260573695\n", - "-0.453200648\n", - "-0.4532028\n", - "0.499768812\n", - "0.499772652\n", - "0.260573695\n", - "-0.453200648\n", - "-0.4532028\n", - "0.499768812\n", - "0.499772652\n", - "0.260573695\n", - "-0.453200648\n", - "-0.4532028\n", - "0.499768812\n", - "0.499772652\n", - "0.260573695\n", - "-0.453200648\n", - "-0.4532028\n", - "0.499768812\n", - "0.499772652\n", - "-0.119822758\n", - "-0.119828567\n", - "-0.538243531\n", - "0.0844758043\n", - "0.16985231\n", - "0.169855031\n", - "0.0844758043\n", - "0.16985231\n", - "0.169855031\n", - "0.0844758043\n", - "0.16985231\n", - "0.169855031\n", - " \n", - "matche list ERROR NEED DEBUG: \n", - "[(('Cl', 17), -0.119828567), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('Cl', 17), -0.119828567), (('N', 7), -0.538243531), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('H', 1), 0.169855031)]\n" - ] - } - ], - "source": [ - "print(symList)\n", - "def matchListCharges():\n", - " matchedList = []\n", - " for i,value in enumerate(symList): \n", - " test = value\n", - " for k,charge in enumerate(espCharges):\n", - " if value[1] == numbers[k]:\n", - " test2 = espCharges[k]\n", - " print(test2) #DEBUG REMOVE LATER\n", - " step = test,test2\n", - " matchedList.append(step)\n", - "print(\" \")\n", - "matchListCharges()\n", - "print(\" \")\n", - "print(\"matche list ERROR NEED DEBUG: \")\n", - "print(matchedList)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 208, + "execution_count": 149, "id": "cb1be89f", "metadata": {}, "outputs": [ @@ -342,18 +269,30 @@ "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", " \n", - "STEST\n", - "[('H', 0.169855031)]\n" + "Atoms and Numbers from RDKit\n", + "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n", + " \n", + "2\n", + "3\n", + "4\n", + "5\n", + "6\n", + "7\n", + "8\n", + "9\n", + " \n", + "matche list ERROR NEED DEBUG: \n", + "[(('Cl', 17), -0.119828567), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), -0.453200648), (('Cl', 17), -0.119828567), (('N', 7), -0.538243531), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('H', 1), 0.16985231)]\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, - "execution_count": 208, + "execution_count": 149, "metadata": {}, "output_type": "execute_result" } @@ -361,6 +300,7 @@ "source": [ "chem2 = chem\n", "numbers = np.ndarray.tolist(loadInput.atnums)\n", + "\n", "print(\"IOData Retrieved Charges, Bulk : \")\n", "chargeDict = (loadInput.atcharges)\n", "print(chargeDict)\n", @@ -374,104 +314,142 @@ "print(\" IOData Retrieved ESP Charges : \")\n", "print(espCharges)\n", "print(\" \")\n", - "dict = []\n", - "print(\"STEST\")\n", - "for i in range(0,len(numbers)):\n", - " step = numbers[i],espCharges[i]\n", - " dict.append(step)\n", "\n", - "test = []\n", + "print(\"Atoms and Numbers from RDKit\")\n", + "print(symList)\n", + "matchedList=[]\n", + "\n", + "\n", + "\n", + "def matchListCharges():\n", + " \"\"\"\n", + " this is meant to address the discrepancy between the way IOData will list atomic nums and charges,\n", + " and how RDKit will list and render to image\n", + " \n", + " First we iterate through our RDKit list of chemical symbols:\n", + " test = symbol\n", + " then we iterate through our loadInput.atcharges['esp'][:]:\n", + " where symbol[1] the corresponding RDKit atomic number, matches the IOData atomic number: \n", + " test2 = corresponding charge \n", + " step = test,test2 together in ordered pair style format\n", + " append step to matchedList and return \n", + " \n", + " \"\"\"\n", + " counter = 1\n", + " for i,value in enumerate(symList): \n", + " test = value\n", + " for k,charge in enumerate(espCharges):\n", + " if value[1] == numbers[k]: # value[1] = atomic number from RDKIT numbers[k] == atomnum IOData\n", + " test2 = espCharges[k]\n", + " if numbers[i-2] == numbers[k]:\n", + " counter +=1\n", + " test2=espCharges[i-1]\n", + " print(counter)\n", + " step = test,test2\n", + " matchedList.append(step)\n", + " \n", + "print(\" \")\n", + "matchListCharges()\n", + "print(\" \")\n", + "print(\"matche list ERROR NEED DEBUG: \")\n", + "print(matchedList[:])\n", + "\n", "\n", "\n", - "def function(test):\n", - " if symList[i][1] == dict[i][0]:\n", - " step = atomList[i],dict[i][1]\n", - " test.append(step)\n", - "function(test)\n", - "print(test)\n", "for i, atom in enumerate(chem2.GetAtoms()):\n", " atom.SetProp(\"atomNote\", f\"{matchedList[i][1]}\")\n", "\n", - "chem2\n", - "\n", - "\n" + "chem2\n" ] }, { "cell_type": "code", "execution_count": null, - "id": "111db663", - "metadata": { - "scrolled": true - }, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "8a5c1c12", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "f9c16415", + "id": "1593459e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", - "execution_count": 54, - "id": "a006790a", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "OrderedDict([('Cl', 17), ('C', 6), ('N', 7), ('H', 1)])\n" - ] - } - ], - "source": [ - "print(OrderedDict(symList[:]))" - ] - }, - { - "cell_type": "code", - "execution_count": 114, - "id": "ba56304c", + "execution_count": 92, + "id": "5ec5be3a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "['17,-0.119822758', '17,-0.119828567', '7,-0.538243531', '6,0.260573695', '6,-0.453200648', '6,-0.4532028', '6,0.499768812', '6,0.499772652', '1,0.0844758043', '1,0.16985231', '1,0.169855031']\n" + "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n", + " \n", + "-0.119822758\n", + "-0.119828567\n", + "0.260573695\n", + "-0.453200648\n", + "-0.4532028\n", + "0.499768812\n", + "0.499772652\n", + "0.260573695\n", + "-0.453200648\n", + "-0.4532028\n", + "0.499768812\n", + "0.499772652\n", + "0.260573695\n", + "-0.453200648\n", + "-0.4532028\n", + "0.499768812\n", + "0.499772652\n", + "0.260573695\n", + "-0.453200648\n", + "-0.4532028\n", + "0.499768812\n", + "0.499772652\n", + "0.260573695\n", + "-0.453200648\n", + "-0.4532028\n", + "0.499768812\n", + "0.499772652\n", + "-0.119822758\n", + "-0.119828567\n", + "-0.538243531\n", + "0.0844758043\n", + "0.16985231\n", + "0.169855031\n", + "0.0844758043\n", + "0.16985231\n", + "0.169855031\n", + "0.0844758043\n", + "0.16985231\n", + "0.169855031\n", + " \n", + "matche list ERROR NEED DEBUG: \n", + "[(('Cl', 17), -0.119828567), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('Cl', 17), -0.119828567), (('N', 7), -0.538243531), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('H', 1), 0.169855031)]\n" ] } ], "source": [ - "temp = symList\n", - "lol = []\n", - "for i,value in enumerate(symList): \n", - "\n", - " for k,charge in enumerate(espCharges):\n", - " if symList[k][1] == numbers[i]:\n", - " test = symList[k]\n", - " test2 = espCharges[i]\n", - " lol.append(f\"{test[:][1]},{test2}\")\n", - "print(lol)" + "print(symList)\n", + "matchedList=[]\n", + "def matchListCharges():\n", + " for i,value in enumerate(symList): \n", + " test = value\n", + " for k,charge in enumerate(espCharges):\n", + " if value[1] == numbers[k]:\n", + " test2 = espCharges[k]\n", + " print(test2) #DEBUG REMOVE LATER\n", + " step = test,test2\n", + " matchedList.append(step)\n", + "print(\" \")\n", + "matchListCharges()\n", + "print(\" \")\n", + "print(\"matche list ERROR NEED DEBUG: \")\n", + "print(matchedList)\n" ] }, { "cell_type": "code", "execution_count": null, - "id": "6df6eba9", + "id": "b7247b2a", "metadata": {}, "outputs": [], "source": [] @@ -479,7 +457,7 @@ { "cell_type": "code", "execution_count": null, - "id": "f9b62834", + "id": "f1d740fc", "metadata": {}, "outputs": [], "source": [] @@ -487,7 +465,7 @@ { "cell_type": "code", "execution_count": null, - "id": "1593459e", + "id": "9d4c4405", "metadata": {}, "outputs": [], "source": [] diff --git a/examples/annotate_3D/Annotate_3D_Chimera_Stage1.ipynb b/examples/annotate_3D/Annotate_3D_Chimera_Stage1.ipynb index b97b9098..0f8943bb 100644 --- a/examples/annotate_3D/Annotate_3D_Chimera_Stage1.ipynb +++ b/examples/annotate_3D/Annotate_3D_Chimera_Stage1.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 18, + "execution_count": 28, "id": "1f5c3fdd", "metadata": {}, "outputs": [], @@ -19,15 +19,12 @@ "\n", "import os,glob,sys\n", "\n", - "import pandas as pd \n", - "\n", - "import mendeleev \n", - "from mendeleev import element" + "import pandas as pd \n" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 29, "id": "8d549015", "metadata": {}, "outputs": [ @@ -42,7 +39,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "RDKit WARNING: [14:43:30] Counts line too short: '' on line4\n" + "RDKit WARNING: [21:16:28] Counts line too short: '' on line4\n" ] } ], @@ -51,15 +48,18 @@ "loadInput = load_one(inFile)\n", "dump_one(loadInput,'test.pdb')\n", "dump_one(loadInput,'intermediateFile.xyz')\n", + "\n", "interFile='intermediateFile.xyz'\n", "molName = inFile[:-5]\n", + " \n", "mol = Chem.MolFromMolFile('test.mol2')\n", - "print(molName)" + "print(molName)\n", + "\n" ] }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 30, "id": "b6043f33", "metadata": {}, "outputs": [ @@ -78,13 +78,20 @@ "('H', 1)\n", "('H', 1)\n", "('H', 1)\n", - "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n" + "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n", + "[('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('Cl', 17), ('H', 1), ('H', 1), ('H', 1), ('N', 7)]\n", + "[1, 1, 1, 6, 6, 6, 6, 6, 7, 17, 17]\n" ] } ], "source": [ "symList = []\n", - "def rdkitProcessInputs(interFile,symList):\n", + "test = []\n", + "def rdkitProcessInputs(interFile,symList, test):\n", + " \"\"\"\n", + " This function consolidates all RDKit and Chemml calls into one function, generating\n", + " mol object to extract data from \n", + " \"\"\"\n", " xyz_files = glob.glob(interFile)\n", " molecule_list = [Molecule(interFile, input_type='xyz') for file in xyz_files]\n", " for molecule in molecule_list:\n", @@ -96,20 +103,27 @@ " interMol = Chem.MolFromSmiles(smiles)\n", "\n", " interMol = Chem.AddHs(interMol)\n", - "\n", + " \n", " for atom in interMol.GetAtoms():\n", " step = atom.GetSymbol(),atom.GetAtomicNum()\n", + " stepTest = atom.GetSymbol()\n", + " test.append(stepTest)\n", " print(step)\n", " symList.append(step)\n", " #print(atom.GetSymbol(), atom.GetAtomicNum(), atom.GetTotalNumHs())\n", - "rdkitProcessInputs(interFile,symList)\n", "\n", - "print(symList)" + "\n", + "rdkitProcessInputs(interFile,symList, test)\n", + "print(symList)\n", + "\n", + "temp = sorted(test)\n", + "print(sorted(symList))\n", + "print(sorted(numbers[:]))" ] }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 31, "id": "edf3a177", "metadata": {}, "outputs": [ @@ -141,17 +155,35 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "id": "606397d7", "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "AttributeError", + "evalue": "'NoneType' object has no attribute 'GetAtoms'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m--------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0mTraceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;32mfor\u001b[0m \u001b[0munit\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mmol\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mGetAtoms\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mstep\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34mf\"{unit.GetSymbol()}\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mtest\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mstep\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msorted\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtest\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mAttributeError\u001b[0m: 'NoneType' object has no attribute 'GetAtoms'" + ] + } + ], "source": [ - "\n" + "\n", + "for unit in mol.GetAtoms(): \n", + " step = f\"{unit.GetSymbol()}\"\n", + " test.append(step)\n", + " \n", + "print(sorted(test))\n", + "temp = sorted(test)" ] }, { "cell_type": "code", - "execution_count": 106, + "execution_count": 61, "id": "0c73fda1", "metadata": {}, "outputs": [ @@ -160,14 +192,15 @@ "output_type": "stream", "text": [ "['Cl', 'C', 'C', 'C', 'C', 'C', 'Cl', 'N', 'H', 'H', 'H']\n", - "['Cl1', 'C2', 'C1', 'C1', 'C2', 'C3', 'Cl4', 'N5', 'H1', 'H2', 'H3']\n" + "[17 17 7 6 6 6 6 6 1 1 1]\n", + "['C1', 'C1', 'C2', 'C3', 'C1', 'Cl1', 'Cl1', 'H1', 'H2', 'H1', 'N1']\n" ] } ], "source": [ "redundantNumberDict = []\n", "convertedSymDict = []\n", - "\n", + "atomList = []\n", "def ConvertAtomnumToAtomsym(convertedSymDict):\n", " for i in range(0,len(numbers)):\n", " if numbers[i] == symList[i][1]:\n", @@ -176,54 +209,83 @@ " elif numbers[i] != symList[i][1]:\n", " step = symList[i][0]\n", " convertedSymDict.append(step)\n", + " atomList.append(numbers[i])\n", "ConvertAtomnumToAtomsym(convertedSymDict)\n", "\n", "print(convertedSymDict)\n", - "\n", + "print(numbers[:])\n", + "convertedSymDict = (sorted(convertedSymDict))\n", "\n", "def RedundantAtomCheck(redundantNumberDict):\n", " count = 0\n", + " \n", " for i in range(len(numbers)):\n", - " if numbers[i] == numbers[i-1]:\n", - " count += 1\n", + " if numbers[i] != numbers[i-1]:\n", + " count +=1\n", " # print(f\"{numbers[i]} REDUNANT ATOM! APPENDING INTEGER!\")\n", "\n", " step = f\"{convertedSymDict[i]}{count}\"\n", - " # print(step)\n", " redundantNumberDict.append(step)\n", - " elif numbers[i] != numbers[i-1]: \n", + " \n", + " elif numbers[i] == numbers[i-1]: \n", " count = 1\n", " step = f\"{convertedSymDict[i]}{count}\"\n", " redundantNumberDict.append(step)\n", - " \n", + " count \n", + " return redundantNumberDict \n", + " \n", "RedundantAtomCheck(redundantNumberDict)\n", "print(redundantNumberDict)" ] }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 60, "id": "c0625011", "metadata": {}, "outputs": [], "source": [ - " \n", - "f = open(\"test.defattr\", \"w\")\n", + "\n", + "f = open(\"attributeFile.defattr\", \"w\")\n", "f.write(\"attribute: myFactor\\n\")\n", - "#f.write(\"match mode: 1-to-1\\n\")\n", + "f.write(\"match mode: any\\n\")\n", "f.write(\"recipient: atoms\\n\")\n", - "count = 0\n", "for i,p in enumerate(redundantNumberDict): \n", - " count += 1\n", - " f.write(f\"\\t@{redundantNumberDict[i]}\\t{espCharges[i]} \\n\")\n", + " f.write(f\"\\t@{symList[i]}\\t{espCharges[i]} \\n\")\n", "f.close() \n", - "\n" + " \n" ] }, { "cell_type": "code", "execution_count": null, - "id": "905b7fdb", + "id": "098bb82d", + "metadata": {}, + "outputs": [], + "source": [ + " " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b70985bd", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a8b97f91", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9ab1d882", "metadata": {}, "outputs": [], "source": [] diff --git a/examples/annotate_3D/Annotate_3D_Chimera_Stage2.py b/examples/annotate_3D/Annotate_3D_Chimera_Stage2.py index 8f72bfa0..b2dba7fa 100644 --- a/examples/annotate_3D/Annotate_3D_Chimera_Stage2.py +++ b/examples/annotate_3D/Annotate_3D_Chimera_Stage2.py @@ -65,7 +65,7 @@ def annotateChimerax(session,moleculeFile,annotationFile,attributeName,outputFil # INPUT FILES moleculeFile = 'dichloropyridine26_q+0.pdb' -annotationFile = 'test.defattr' +annotationFile = 'attributeFile.defattr' # ATTRIBUTE NAME attributeName = 'myFactor' diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index 24648d29..f05215c8 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -364,15 +364,15 @@ }, { "cell_type": "code", - "execution_count": 203, + "execution_count": 207, "metadata": {}, "outputs": [ { "ename": "SyntaxError", - "evalue": "invalid syntax (, line 45)", + "evalue": "invalid syntax (, line 50)", "output_type": "error", "traceback": [ - "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m45\u001b[0m\n\u001b[0;31m return rot\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" + "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m50\u001b[0m\n\u001b[0;31m return rot\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" ] } ], @@ -401,7 +401,9 @@ " \n", " color : str\n", " Color of Gradient Arrows \n", - " \n", + " \n", + " _rotate_3d(normal) : helper function\n", + " this function consoliates the rotation matrix operation \n", " \"\"\"\n", "\n", " v1, v2 = coord2 - coord1, coord3 - coord1\n", @@ -504,48 +506,81 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 217, "metadata": {}, "outputs": [], "source": [ - "scalar_func = ''\n", - "levels = 1\n", + "\n", "coord1 = coord[0]\n", "coord2 = coord[1]\n", "coord3 = coord[2]\n", - "def PlotContourOverPlane(coord1,coord2,coord3,scalar_func, levels, step_size=0.5):\n", - " coord1 = coord[0] \n", - " coord2 = coord[1]\n", - " coord3 = coord[2]\n", - " \n", - " \n", + "\n", + "def plotScalarFunctionContourPlot(coord1, coord2, coord3,scalarFunc,step_size=0.3):\n", + " v1, v2 = coord1 - coord3, coord2 - coord3\n", + " normal = np.cross(v1, v2)\n", + " normal /= np.linalg.norm(normal)\n", + " print(\"Orthonormal : \")\n", + " a, b, c = normal\n", + " def _get_rotation_matrix_to_xy_plane(normal): \n", + " \"\"\"\n", + " This function is designed to consolidate a 2D rotate \n", + " operation, returning rot, which can then be used \n", + " to determine the rotated coordinates by computing the dot \n", + " product \n", + " \"\"\"\n", + " a,b,c = normal\n", + " costheta = c\n", + " sintheta = np.sqrt(a**2.0 + b**2.0)\n", + " x = u_1 = b / np.sqrt(a**2.0 + b**2.0)\n", + " y = u_2 = -a / np.sqrt(a**2.0 + b**2.0)\n", + "\n", + " cos, sin = np.cos(costheta), np.sin(sintheta)\n", + " rot = np.matrix([[cos, sin], [-sin, cos]]) # 2D Rotate \n", + "\n", + " return rot\n", + " _get_rotation_matrix_to_xy_plane(normal)\n", + " print(\"Rotation Operation: \")\n", + " print(rot)\n", + "\n", + " rot_coords = np.dot(rot, (coord - coord[0]).T).T\n", + " print(\"Rotation Coordinates: \")\n", + " print(rot_coords)\n", + " l_bnd = np.min(rot_coords, axis=0) - 1\n", + " u_bnd = np.max(rot_coords, axis=0) + 1\n", + "\n", + " x_grid = np.arange(l_bnd[0], u_bnd[0] + step_size, step_size)\n", + " y_grid = np.arange(l_bnd[1], u_bnd[1] + step_size, step_size)\n", + " grid_2d = np.array(np.meshgrid(x_grid, y_grid)).T.reshape(-1,2)\n", " \n", - "PlotContourOverPlane(coord1,coord2,coord3,scalar_func, levels, step_size=0.5)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[2.17212008e-04 3.59387779e-04 5.82559952e-04 ... 6.25544026e-06\n", - " 4.63270562e-06 3.42546710e-06]\n" - ] - } - ], - "source": [ "\n", - "electroDensity = mol.compute_density(grid_plane)\n", - "print(electroDensity)" + " grid_zeros = np.hstack((grid_2d, np.zeros((grid_2d.shape[0], 1), dtype=np.float)))\n", + " grid_plane = np.einsum(\"ij,kj->ki\", rot.T, grid_zeros)\n", + " grid_plane += coord[0]\n", + " print(\"Grid Plane:\")\n", + " print(grid_plane)\n", + "\n", + " x = grid_plane[:,0]\n", + " y = grid_plane[:,1]\n", + " scalarFunc = mol.compute_density(grid_plane)\n", + " scalarFuncPlot = np.array(scalarFunc)\n", + "\n", + " #proj = (np.dot(x, y) / np.linalg.norm(y))\n", + " scalarFuncPlot = np.broadcast_to((scalarFuncPlot*scalarFuncPlot).sum(-1)[...,None], scalarFuncPlot.shape)\n", + "\n", + " proj = density - np.dot(density,normal)[:,np.newaxis] * normal\n", + " rotProj = np.dot(rot,proj.T).T\n", + " rotProj /=np.linalg.norm(rotProj,axis=1).reshape((-1,1))\n", + " scalarFuncPlot = np.array(scalarFunc)\n", + " # rotScalarFunc = \n", + " #levels = np.array([0.001 * n * n for n in range(1)])\n", + " levels = 1\n", + " #plt.contour(x,y,scalarFuncPlot,levels)\n", + " plt.show()" ] }, { "cell_type": "code", - "execution_count": 199, + "execution_count": 214, "metadata": {}, "outputs": [ { @@ -572,80 +607,14 @@ "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 52\u001b[0m \u001b[0mscalarFuncPlot\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbroadcast_to\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mscalarFuncPlot\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mscalarFuncPlot\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mNone\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mscalarFuncPlot\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 53\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 54\u001b[0;31m \u001b[0mproj\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mscalarFuncPlot\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mnormal\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreshape\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 55\u001b[0m \u001b[0mrotProj\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrot\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mproj\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 56\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplotScalarFunctionContourPlot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcoord1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcoord2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcoord3\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mscalarFunc\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mstep_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0.3\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m\u001b[0m in \u001b[0;36mplotScalarFunctionContourPlot\u001b[0;34m(coord1, coord2, coord3, scalarFunc, step_size)\u001b[0m\n\u001b[1;32m 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designed to consolidate a 2D rotate \n", - " operation, returning rot, which can then be used \n", - " to determine the rotated coordinates by computing the dot \n", - " product \n", - " \"\"\"\n", - " a,b,c = normal\n", - " costheta = c\n", - " sintheta = np.sqrt(a**2.0 + b**2.0)\n", - " x = u_1 = b / np.sqrt(a**2.0 + b**2.0)\n", - " y = u_2 = -a / np.sqrt(a**2.0 + b**2.0)\n", - "\n", - " cos, sin = np.cos(costheta), np.sin(sintheta)\n", - " rot = np.matrix([[cos, sin], [-sin, cos]])\n", - "\n", - " return rot\n", - "_get_rotation_matrix_to_xy_plane(normal)\n", - "print(rot)\n", - "\n", - "rot_coords = np.dot(rot, (coord - coord[0]).T).T\n", - "\n", - "l_bnd = np.min(rot_coords, axis=0) - 1\n", - "u_bnd = np.max(rot_coords, axis=0) + 1\n", - "\n", - "x_grid = np.arange(l_bnd[0], u_bnd[0] + step_size, step_size)\n", - "y_grid = np.arange(l_bnd[1], u_bnd[1] + step_size, step_size)\n", - "grid_2d = np.array(np.meshgrid(x_grid, y_grid)).T.reshape(-1,2)\n", - "\n", - "\n", - "grid_zeros = np.hstack((grid_2d, np.zeros((grid_2d.shape[0], 1), dtype=np.float)))\n", - "grid_plane = np.einsum(\"ij,kj->ki\", rot.T, grid_zeros)\n", - "grid_plane += coord[0]\n", - "print(\"grid plane\")\n", - "print(grid_plane)\n", - "\n", - "x = grid_plane[:,0]\n", - "y = grid_plane[:,1]\n", - "scalarFunc = mol.compute_density(grid_plane)\n", - "scalarFuncPlot = np.array(scalarFunc)\n", - "\n", - "#proj = (np.dot(x, y) / np.linalg.norm(y))\n", - "scalarFuncPlot = np.broadcast_to((scalarFuncPlot*scalarFuncPlot).sum(-1)[...,None], scalarFuncPlot.shape)\n", - "\n", - "proj = np.dot(scalarFuncPlot,normal).reshape(-1,1)\n", - "rotProj = np.dot(rot,proj.T).T\n", - "\n", - "rotProj /=np.linalg.norm(rotProj,axis=1).reshape((-1,1))\n", - "scalarFuncPlot = np.array(scalarFunc)\n", - "proj_density = scalarFunc - np.dot(scalarFunc, proj)[:, np.newaxis] * proj\n", - "print(proj_density)\n", - "\n", - "\n", - "#scalarFuncPlot = scalarFuncPlot.reshape(len(x),len(y))\n", - "#levels = np.array([0.001 * n * n for n in range(1)])\n", - "levels = 1\n", - "#plt.contour(x,y,scalarFuncPlot,levels)\n", - "plt.show()" + "plotScalarFunctionContourPlot(coord1, coord2, coord3,scalarFunc,step_size=0.3)" ] }, { From 0bc01730ab4f0c87e19de5d059e8bd6df20ab8a6 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 13 Aug 2021 15:09:12 -0400 Subject: [PATCH 056/126] iso = esp, color = rho, coloring is off, gaping hole at .003 = isosurf --- examples/esp/chimerax_vis_esp.py | 20 ++++++++++++-------- 1 file changed, 12 insertions(+), 8 deletions(-) diff --git a/examples/esp/chimerax_vis_esp.py b/examples/esp/chimerax_vis_esp.py index 3d643da9..2e0c61f1 100644 --- a/examples/esp/chimerax_vis_esp.py +++ b/examples/esp/chimerax_vis_esp.py @@ -86,7 +86,7 @@ """ -def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, isoSurf, material, scalemin,scalemax,colorscheme,representation, lighting, shadows,silhouettes): +def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, isoSurf, material, scalemin,scalemax,colorscheme,representation, lighting, shadows): run(session, 'open %s' % (isoFile)) # Open ESP run(session, 'open %s' % (colorFile)) # Open RHO run(session, 'hide #2') # Hides Colorfile from Rendering Window @@ -102,23 +102,27 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is #END FUNCTION # INPUT FILE VALUES HERE -isoFile = 'dichloropyridine26_q+0_esp.cube' -colorFile = 'dichloropyridine26_q+0_rho.cube' +isoFile = 'dichloropyridine26_q+0_rho.cube' +colorFile = 'dichloropyridine26_q+0_esp.cube' # OUTPUT FILENAME AND SUFFIX HERE outFile = isoFile[:-9] # Removes '_esp.cube' from esp cube file to generate name outSuffix = 'png' #THESE ARE DEFAULT VALUES -isoSurf = .055 +isoSurf = .005 material = 'shiny' -colorscheme = '#b800ff:#7500ff:#6500ff:#5405ff:#3000ff:#2934ff:#31ff38:#ca1313:#ca1111:#ca1818' # THIS FORMAT IS USERMADE AND NOT FOUND IN DOCUMENTATION +colorscheme = 'rgb' +#colorscheme = '#ca1818:#ca1111:#ca1313:#31ff38:#2934ff:#3000ff:#5405ff:#6500ff:#7500ff:#b800ff' +#colorscheme = '#7500ff:#5405ff:#3138ff:#ca1111:#ca1818' +#colorscheme = '#ff0000:#ff5c0b:#ff0303:#00aa00:#06ca1c:#0949ea#:#0521d9' +#colorscheme = '#ca1818:#ca1313:#ca1111:#3138ff:#5405ff:#6500ff:#7500ff' representation = 'surface' lighting = 'full' shadows = 'False' -scalemin = -.02 -scalemax = .02 +scalemin = -.2 +scalemax = .2 # CALL FUNCTION HERE -print_chimerax_isosurfaces(session,outFile,outSuffix,isoFile,colorFile,isoSurf,material,scalemin,scalemax,colorscheme,representation,lighting,shadows,silhouettes) +print_chimerax_isosurfaces(session,outFile,outSuffix,isoFile,colorFile,isoSurf,material,scalemin,scalemax,colorscheme,representation,lighting,shadows) From 68d7df02cfd3d710a9a4b909fca77fb8bfeab802 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 13 Aug 2021 18:54:22 -0400 Subject: [PATCH 057/126] incorrect shaping of scalarFuncPlotRefine` ` --- examples/plotting/2D_Plotting_Gradient.ipynb | 198 +++++++++++++++---- 1 file changed, 155 insertions(+), 43 deletions(-) diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index f05215c8..f4443288 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -22,7 +22,7 @@ }, { "cell_type": "code", - "execution_count": 102, + "execution_count": 1, "metadata": { "scrolled": true }, @@ -31,7 +31,21 @@ "name": "stdout", "output_type": "stream", "text": [ - "Initialized: \n", + "\n", + "\n", + "User: woodn\n", + "Machine info: Linux woodn 5.13.8-arch1-1 #1 SMP PREEMPT Wed, 04 Aug 2021 16:57:44 +0000 x86_64\n", + "Time: 2021-08-13T12:58:56.319030\n", + "Python version: 2.7.18 |Anaconda, Inc.| (default, Jun 4 2021, 14:47:46) [GCC 7.3.0]\n", + "HORTON version: 2.1.0\n", + "Current Dir: /home/woodn/GSOC/projects/chemtools/examples/plotting\n", + "Command line: /home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel_launcher.py\n", + " -f\n", + " /home/woodn/.local/share/jupyter/runtime/kernel-baedc8d9-34ca-42eb-96e1-a8fc46e1b2cd\n", + " .json\n", + "HORTON module: /home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/horton/log.pyc\n", + "\n", + "Initialized: \n", " Number of basis functions : 219\n", " Number of normalization constants : 453\n", " Maximum shell type : 2\n", @@ -60,6 +74,65 @@ " [-4.10063012e+00 -3.05289036e+00 -7.55890453e-05]\n", " [ 4.10047894e+00 -3.05315492e+00 2.83458920e-04]]\n" ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/woodn/GSOC/programs/chemtools/chemtools/chemtools/outputs/plot.py:27: UserWarning: \n", + "This call to matplotlib.use() has no effect because the backend has already\n", + "been chosen; matplotlib.use() must be called *before* pylab, matplotlib.pyplot,\n", + "or matplotlib.backends is imported for the first time.\n", + "\n", + "The backend was *originally* set to 'module://ipykernel.pylab.backend_inline' by the following code:\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/runpy.py\", line 174, in _run_module_as_main\n", + " \"__main__\", fname, loader, pkg_name)\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/runpy.py\", line 72, in _run_code\n", + " exec code in run_globals\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel_launcher.py\", line 16, in \n", + " app.launch_new_instance()\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/traitlets/config/application.py\", line 664, in launch_instance\n", + " app.start()\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel/kernelapp.py\", line 499, in start\n", + " self.io_loop.start()\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/tornado/ioloop.py\", line 1073, in start\n", + " handler_func(fd_obj, events)\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/tornado/stack_context.py\", line 300, in null_wrapper\n", + " return fn(*args, **kwargs)\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/zmq/eventloop/zmqstream.py\", line 462, in _handle_events\n", + " self._handle_recv()\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/zmq/eventloop/zmqstream.py\", line 492, in _handle_recv\n", + " self._run_callback(callback, msg)\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/zmq/eventloop/zmqstream.py\", line 444, in _run_callback\n", + " callback(*args, **kwargs)\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/tornado/stack_context.py\", line 300, in null_wrapper\n", + " return fn(*args, **kwargs)\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel/kernelbase.py\", line 283, in dispatcher\n", + " return self.dispatch_shell(stream, msg)\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel/kernelbase.py\", line 233, in dispatch_shell\n", + " handler(stream, idents, msg)\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel/kernelbase.py\", line 399, in execute_request\n", + " user_expressions, allow_stdin)\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel/ipkernel.py\", line 208, in do_execute\n", + " res = shell.run_cell(code, store_history=store_history, silent=silent)\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel/zmqshell.py\", line 537, in run_cell\n", + " return super(ZMQInteractiveShell, self).run_cell(*args, **kwargs)\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/IPython/core/interactiveshell.py\", line 2714, in run_cell\n", + " interactivity=interactivity, compiler=compiler, result=result)\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/IPython/core/interactiveshell.py\", line 2818, in run_ast_nodes\n", + " if self.run_code(code, result):\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/IPython/core/interactiveshell.py\", line 2878, in run_code\n", + " exec(code_obj, self.user_global_ns, self.user_ns)\n", + " File \"\", line 3, in \n", + " import matplotlib.pyplot as plt\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/matplotlib/pyplot.py\", line 71, in \n", + " from matplotlib.backends import pylab_setup\n", + " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/matplotlib/backends/__init__.py\", line 16, in \n", + " line for line in traceback.format_stack()\n", + "\n", + "\n", + " matplotlib.use('agg')\n" + ] } ], "source": [ @@ -102,7 +175,7 @@ }, { "cell_type": "code", - "execution_count": 103, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -364,15 +437,15 @@ }, { "cell_type": "code", - "execution_count": 207, + "execution_count": 59, "metadata": {}, "outputs": [ { "ename": "SyntaxError", - "evalue": "invalid syntax (, line 50)", + "evalue": "invalid syntax (, line 52)", "output_type": "error", "traceback": [ - "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m50\u001b[0m\n\u001b[0;31m return rot\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" + "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m52\u001b[0m\n\u001b[0;31m return rot\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" ] } ], @@ -506,7 +579,7 @@ }, { "cell_type": "code", - "execution_count": 217, + "execution_count": 94, "metadata": {}, "outputs": [], "source": [ @@ -515,7 +588,7 @@ "coord2 = coord[1]\n", "coord3 = coord[2]\n", "\n", - "def plotScalarFunctionContourPlot(coord1, coord2, coord3,scalarFunc,step_size=0.3):\n", + "def plotScalarFunctionContourPlot(coord1, coord2, coord3,step_size=0.3):\n", " v1, v2 = coord1 - coord3, coord2 - coord3\n", " normal = np.cross(v1, v2)\n", " normal /= np.linalg.norm(normal)\n", @@ -559,82 +632,114 @@ " print(\"Grid Plane:\")\n", " print(grid_plane)\n", "\n", - " x = grid_plane[:,0]\n", - " y = grid_plane[:,1]\n", + " x = grid_2d[:,0]\n", + " y = grid_2d[:,1]\n", + " xy = np.meshgrid(grid_2d[:,0],grid_2d[:,1])\n", + " \n", " scalarFunc = mol.compute_density(grid_plane)\n", " scalarFuncPlot = np.array(scalarFunc)\n", - "\n", - " #proj = (np.dot(x, y) / np.linalg.norm(y))\n", - " scalarFuncPlot = np.broadcast_to((scalarFuncPlot*scalarFuncPlot).sum(-1)[...,None], scalarFuncPlot.shape)\n", - "\n", - " proj = density - np.dot(density,normal)[:,np.newaxis] * normal\n", - " rotProj = np.dot(rot,proj.T).T\n", - " rotProj /=np.linalg.norm(rotProj,axis=1).reshape((-1,1))\n", - " scalarFuncPlot = np.array(scalarFunc)\n", - " # rotScalarFunc = \n", + " \n", + " \n", + " print(np.shape(grid_2d))\n", + " print(np.shape(scalarFuncPlot))\n", + "\n", + " lenScalarFuncPlot = len(scalarFuncPlot)\n", + " print(lenScalarFuncPlot)\n", + " \n", + " # PROBLEMATIC \n", + " scalarFuncPlotRefine = np.atleast_2d(scalarFuncPlot)\n", + " print('scalar')\n", + " print(scalarFuncPlotRefine)\n", + " #scalarFuncPlotRefine = scalarFuncPlotRefine.reshape((lenScalarFuncPlot),lenScalarFuncPlot))\n", + " \n", + " print(scalarFuncPlotRefine.shape())\n", + " \n", " #levels = np.array([0.001 * n * n for n in range(1)])\n", " levels = 1\n", - " #plt.contour(x,y,scalarFuncPlot,levels)\n", + " plt.contour(x,y,scalarFuncPlotRefine,levels)\n", " plt.show()" ] }, { "cell_type": "code", - "execution_count": 214, + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 95, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ + "Orthonormal : \n", + "Rotation Operation: \n", "[[-6.97331320e-01 7.16748929e-01 -4.77061362e-05]\n", " [ 7.16748929e-01 6.97331321e-01 2.01453432e-05]\n", " [ 4.77061362e-05 -2.01453432e-05 -9.99999999e-01]]\n", - "grid plane\n", + "Rotation Coordinates: \n", + "[[ 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n", + " [-6.90578162e+00 7.09758945e+00 3.32933254e-20]\n", + " [-3.78908149e+00 3.22168550e+00 6.49732457e-21]\n", + " [-7.55924902e+00 -4.46580843e-01 -2.63191882e-05]\n", + " [-5.01995578e+00 -1.16084361e+00 -2.95672968e-05]\n", + " [-8.20369267e+00 2.11132954e+00 -7.37073181e-07]\n", + " [-3.23205529e+00 7.81105542e-01 -5.68426273e-05]\n", + " [-6.21348886e+00 3.84534212e+00 3.37365785e-05]\n", + " [-9.03609861e+00 -1.88352622e+00 -2.26066815e-05]\n", + " [-4.43829811e+00 -3.13120126e+00 -4.03176841e-05]\n", + " [-1.01573780e+01 2.74675040e+00 -8.11709351e-06]]\n", + "Grid Plane:\n", "[[-1.31954229e-01 -8.56611497e+00 1.84489266e-04]\n", " [ 8.30704494e-02 -8.35691557e+00 1.90532869e-04]\n", " [ 2.98095128e-01 -8.14771618e+00 1.96576472e-04]\n", " ...\n", " [-3.23166990e-01 8.40867332e+00 -1.66595694e-04]\n", " [-1.08142311e-01 8.61787272e+00 -1.60552091e-04]\n", - " [ 1.06882368e-01 8.82707212e+00 -1.54508488e-04]]\n" + " [ 1.06882368e-01 8.82707212e+00 -1.54508488e-04]]\n", + "(1764, 2)\n", + "(1764,)\n", + "1764\n", + "scalar\n", + "[[2.17212008e-04 3.59387779e-04 5.82559952e-04 ... 6.25544026e-06\n", + " 4.63270562e-06 3.42546710e-06]]\n" ] }, { - "ename": "ValueError", - "evalue": "shapes (1764,) and (3,) not aligned: 1764 (dim 0) != 3 (dim 0)", + "ename": "TypeError", + "evalue": "'tuple' object is not callable", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplotScalarFunctionContourPlot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcoord1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcoord2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcoord3\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mscalarFunc\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mstep_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0.3\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m\u001b[0m in \u001b[0;36mplotScalarFunctionContourPlot\u001b[0;34m(coord1, coord2, coord3, scalarFunc, step_size)\u001b[0m\n\u001b[1;32m 54\u001b[0m \u001b[0mscalarFuncPlot\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbroadcast_to\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mscalarFuncPlot\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mscalarFuncPlot\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mNone\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mscalarFuncPlot\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 55\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 56\u001b[0;31m \u001b[0mproj\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdensity\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdensity\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mnormal\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnewaxis\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mnormal\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 57\u001b[0m \u001b[0mrotProj\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrot\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mproj\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 58\u001b[0m \u001b[0mrotProj\u001b[0m \u001b[0;34m/=\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlinalg\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnorm\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrotProj\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0maxis\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreshape\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mValueError\u001b[0m: shapes (1764,) and (3,) not aligned: 1764 (dim 0) != 3 (dim 0)" + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplotScalarFunctionContourPlot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcoord1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcoord2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcoord3\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mstep_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0.3\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m\u001b[0m in \u001b[0;36mplotScalarFunctionContourPlot\u001b[0;34m(coord1, coord2, coord3, step_size)\u001b[0m\n\u001b[1;32m 68\u001b[0m \u001b[0;31m#scalarFuncPlotRefine = scalarFuncPlotRefine.reshape((lenScalarFuncPlot),lenScalarFuncPlot))\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 69\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 70\u001b[0;31m \u001b[0;32mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mscalarFuncPlotRefine\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 71\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 72\u001b[0m \u001b[0;31m#levels = np.array([0.001 * n * n for n in range(1)])\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mTypeError\u001b[0m: 'tuple' object is not callable" ] } ], "source": [ - "plotScalarFunctionContourPlot(coord1, coord2, coord3,scalarFunc,step_size=0.3)" + "plotScalarFunctionContourPlot(coord1, coord2, coord3,step_size=0.3)" ] }, { "cell_type": "code", - "execution_count": 185, + "execution_count": 89, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[ 1.70982687e-05 5.10868096e-04 -6.55691344e-09]\n", - " [-2.04658254e-05 8.72965114e-04 -1.29942129e-08]\n", - " [-1.34014657e-04 1.43885163e-03 -2.51374698e-08]\n", - " ...\n", - " [ 3.92944438e-08 -8.98940297e-06 1.84799988e-10]\n", - " [ 3.01288771e-09 -6.67502749e-06 1.34390522e-10]\n", - " [ 4.24791253e-09 -4.95304702e-06 9.83619427e-11]]\n", - "[2.17212008e-04 3.59387779e-04 5.82559952e-04 ... 6.25544026e-06\n", - " 4.63270562e-06 3.42546710e-06]\n" + "ename": "NameError", + "evalue": "name 'grid_plane' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mgradient\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmol\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcompute_gradient\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgrid_plane\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0;32mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgradient\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mscalarFunc\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'grid_plane' is not defined" ] } ], @@ -643,6 +748,13 @@ "print(gradient)\n", "print(scalarFunc)" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { From 467a08e9f454e37dee1f7e50d693ce1f5f3717bf Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Sat, 14 Aug 2021 14:08:18 -0400 Subject: [PATCH 058/126] COMPLETE --- .../annotate_3D/3DimensionAnnotation.ipynb | 140 ++++++++++++++++++ examples/annotate_3D/3DimensionAnnotation.py | 69 +++++++++ 2 files changed, 209 insertions(+) create mode 100644 examples/annotate_3D/3DimensionAnnotation.ipynb create mode 100644 examples/annotate_3D/3DimensionAnnotation.py diff --git a/examples/annotate_3D/3DimensionAnnotation.ipynb b/examples/annotate_3D/3DimensionAnnotation.ipynb new file mode 100644 index 00000000..3be11546 --- /dev/null +++ b/examples/annotate_3D/3DimensionAnnotation.ipynb @@ -0,0 +1,140 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 15, + "id": "d869e72c", + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np \n", + "\n", + "import iodata\n", + "from iodata import load_one, dump_one \n", + "\n", + "from biopandas.pdb import PandasPdb\n", + "import io\n", + "from typing import TextIO, Iterator\n" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "aadb1e41", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Filenames: \n", + "dichloropyridine26_q+0.fchk\n", + "intermediate.pdb\n", + "dichloropyridine26_q+0.pdb\n", + " \n", + "Name of Molecule:\n", + "dichloropyridine26_q+0\n", + " \n", + "Our Working B Factor to replace within IOData Dump : \n", + "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", + " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", + "\n", + "Will be written to dichloropyridine26_q+0.pdb and dumped\n" + ] + } + ], + "source": [ + "inFile = 'dichloropyridine26_q+0.fchk'\n", + "interFile = 'intermediate.pdb'\n", + "outFile = f\"{inFile[:-5]}.pdb\" \n", + "title = inFile[:-5]\n", + "\n", + "print(\"Filenames: \")\n", + "print(inFile)\n", + "print(interFile)\n", + "print(outFile)\n", + "print(\" \")\n", + "print(\"Name of Molecule:\")\n", + "print(title)\n", + "print(\" \")\n", + "\n", + "loadInput = load_one(inFile)\n", + "\n", + "\n", + "workingBFactor = loadInput.atcharges['esp'][:]\n", + "print(\"Our Working B Factor to replace within IOData Dump : \")\n", + "print(workingBFactor)\n", + "print(f\"\\nWill be written to {outFile} and dumped\")" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "2f0fd102", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", + " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", + " \n", + "Written [-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", + " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503] to dichloropyridine26_q+0.pdb\n" + ] + } + ], + "source": [ + " \n", + "workingBfactor = np.array(loadInput.atcharges['esp'][:])\n", + "print(workingBfactor)\n", + "test = load_one('intermediate.pdb')\n", + "\n", + "for i,item in enumerate(test.extra['bfactors']):\n", + " test.extra['bfactors'][i] = workingBfactor[i]\n", + "print(\" \")\n", + "print(f\"Written {test.extra['bfactors'][:]} to {outFile}\")\n", + "dump_one(test,'test22.pdb')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "22c275bd", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "16fe8bd4", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:.conda-chemml_env] *", + "language": "python", + "name": "conda-env-.conda-chemml_env-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/examples/annotate_3D/3DimensionAnnotation.py b/examples/annotate_3D/3DimensionAnnotation.py new file mode 100644 index 00000000..d40442b9 --- /dev/null +++ b/examples/annotate_3D/3DimensionAnnotation.py @@ -0,0 +1,69 @@ +#!/usr/bin/env python +# coding: utf-8 + +# In[15]: + + +import pandas as pd +import numpy as np + +import iodata +from iodata import load_one, dump_one + +from biopandas.pdb import PandasPdb +import io +from typing import TextIO, Iterator + + +# In[23]: + + +inFile = 'dichloropyridine26_q+0.fchk' +interFile = 'intermediate.pdb' +outFile = f"{inFile[:-5]}.pdb" +title = inFile[:-5] + +print("Filenames: ") +print(inFile) +print(interFile) +print(outFile) +print(" ") +print("Name of Molecule:") +print(title) +print(" ") + +loadInput = load_one(inFile) + + +workingBFactor = loadInput.atcharges['esp'][:] +print("Our Working B Factor to replace within IOData Dump : ") +print(workingBFactor) +print(f"\nWill be written to {outFile} and dumped") + + +# In[27]: + + + +workingBfactor = np.array(loadInput.atcharges['esp'][:]) +print(workingBfactor) +test = load_one('intermediate.pdb') + +for i,item in enumerate(test.extra['bfactors']): +test.extra['bfactors'][i] = workingBfactor[i] +print(" ") +print(f"Written {test.extra['bfactors'][:]} to {outFile}") +dump_one(test,'test22.pdb') + + +# In[ ]: + + + + + +# In[ ]: + + + + From 8c655d04c63958432541fee8c3b1bf23b8aebaae Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Sat, 14 Aug 2021 22:48:32 -0400 Subject: [PATCH 059/126] modified scalemin to accept chimerax computation; added verbosity to 3D annotation --- .../annotate_3D/3DimensionAnnotation.ipynb | 20 +++++-------------- examples/esp/chimerax_vis_esp.py | 19 +++++++++++------- 2 files changed, 17 insertions(+), 22 deletions(-) diff --git a/examples/annotate_3D/3DimensionAnnotation.ipynb b/examples/annotate_3D/3DimensionAnnotation.ipynb index 3be11546..6fe1665b 100644 --- a/examples/annotate_3D/3DimensionAnnotation.ipynb +++ b/examples/annotate_3D/3DimensionAnnotation.ipynb @@ -3,7 +3,7 @@ { "cell_type": "code", "execution_count": 15, - "id": "d869e72c", + "id": "3a98701f", "metadata": {}, "outputs": [], "source": [ @@ -13,15 +13,13 @@ "import iodata\n", "from iodata import load_one, dump_one \n", "\n", - "from biopandas.pdb import PandasPdb\n", - "import io\n", - "from typing import TextIO, Iterator\n" + "import io\n" ] }, { "cell_type": "code", "execution_count": 23, - "id": "aadb1e41", + "id": "1a9a64b9", "metadata": {}, "outputs": [ { @@ -71,7 +69,7 @@ { "cell_type": "code", "execution_count": 27, - "id": "2f0fd102", + "id": "3fde180d", "metadata": {}, "outputs": [ { @@ -102,15 +100,7 @@ { "cell_type": "code", "execution_count": null, - "id": "22c275bd", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "16fe8bd4", + "id": "cda77d5f", "metadata": {}, "outputs": [], "source": [] diff --git a/examples/esp/chimerax_vis_esp.py b/examples/esp/chimerax_vis_esp.py index 2e0c61f1..f497e878 100644 --- a/examples/esp/chimerax_vis_esp.py +++ b/examples/esp/chimerax_vis_esp.py @@ -62,9 +62,11 @@ scalemin, float Defines the minimum electrostatic potential for colorization + NOTE: If both scalemin and scalemax are set to 'compute', ChimeraX can determine the best minima and maxima to use scalemax, flaot Defines the maximum electrostatic potential for colorization + NOTE: If both scalemin and scalemax are set to 'compute,' ChimeraX can determine the best minima and maxima to use representation, str defines how the isosurfaces should be rendered @@ -91,7 +93,10 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is run(session, 'open %s' % (colorFile)) # Open RHO run(session, 'hide #2') # Hides Colorfile from Rendering Window run(session, 'volume #1 style %s level %s' % (representation , isoSurf)) # Setup Volume - run(session, 'color gradient #1 map #2 palette %s range %s,%s' % (colorscheme , scalemin , scalemax)) + if scalemin != 'compute' and scalemax != 'compute': + run(session, 'color gradient #1 map #2 palette %s range %s,%s' %(colorscheme, scalemin, scalemax)) + else: + run(session, 'color gradient #1 map #2 palette %s' % (colorscheme))# , scalemin , scalemax)) run(session, 'material %s' % (material)) # establish surface material run(session, 'lighting %s' % (lighting)) #establish lighting and shadows run(session, 'lighting shadows %s' % (shadows)) @@ -102,17 +107,17 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is #END FUNCTION # INPUT FILE VALUES HERE -isoFile = 'dichloropyridine26_q+0_rho.cube' -colorFile = 'dichloropyridine26_q+0_esp.cube' +isoFile = 'acrolein_q+0_rho.cube' +colorFile = 'acrolein_q+0_esp.cube' # OUTPUT FILENAME AND SUFFIX HERE outFile = isoFile[:-9] # Removes '_esp.cube' from esp cube file to generate name outSuffix = 'png' #THESE ARE DEFAULT VALUES -isoSurf = .005 +isoSurf = .009 material = 'shiny' -colorscheme = 'rgb' +colorscheme = 'rainbow' #colorscheme = '#ca1818:#ca1111:#ca1313:#31ff38:#2934ff:#3000ff:#5405ff:#6500ff:#7500ff:#b800ff' #colorscheme = '#7500ff:#5405ff:#3138ff:#ca1111:#ca1818' #colorscheme = '#ff0000:#ff5c0b:#ff0303:#00aa00:#06ca1c:#0949ea#:#0521d9' @@ -120,8 +125,8 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is representation = 'surface' lighting = 'full' shadows = 'False' -scalemin = -.2 -scalemax = .2 +scalemin = 'compute' +scalemax = 'compute' # CALL FUNCTION HERE From bf36740fcb1489522d341400daf9c208c4a6466b Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Mon, 16 Aug 2021 19:08:26 -0400 Subject: [PATCH 060/126] 3D: followed suggestions about for loops, maintained workingBFactor; 2D Complete, will mend markdown text --- examples/annotate_2D/Annotate_2D.ipynb | 333 +++--------------- .../annotate_3D/3DimensionAnnotation.ipynb | 111 +++++- 2 files changed, 143 insertions(+), 301 deletions(-) diff --git a/examples/annotate_2D/Annotate_2D.ipynb b/examples/annotate_2D/Annotate_2D.ipynb index 8b8e0669..1304d74f 100644 --- a/examples/annotate_2D/Annotate_2D.ipynb +++ b/examples/annotate_2D/Annotate_2D.ipynb @@ -25,7 +25,7 @@ }, { "cell_type": "code", - "execution_count": 145, + "execution_count": 114, "id": "3744a11c", "metadata": {}, "outputs": [], @@ -41,20 +41,13 @@ "from rdkit.Chem import Draw\n", "from rdkit.Chem.Draw import rdMolDraw2D\n", "from rdkit.Chem.Draw import MolToImage\n", - "from rdkit.Chem import rdMolTransforms \n", - "from rdkit.Chem import PeriodicTable\n", - "from rdkit.Chem import rdmolfiles\n", "from rdkit.Chem.Draw import DrawingOptions\n", "\n", - "from IPython.display import SVG\n", "from IPython.display import Image\n", "\n", - "from collections import OrderedDict\n", - "\n", "from chemml.chem import Molecule\n", "\n", "import pandas as pd\n", - "\n", "import glob\n", "import os" ] @@ -71,7 +64,7 @@ }, { "cell_type": "code", - "execution_count": 146, + "execution_count": 118, "id": "ee68d1a9", "metadata": { "scrolled": true @@ -92,14 +85,17 @@ "loadInput = load_one(inputName) \n", "\n", "xyzName = 'dichloropyridine26_q+0.xyz'\n", - "\n", + "pdbName = 'dichloropyridine26_q+0.pdb'\n", "molName = xyzName[:-4]\n", "imageName = f\"{molName}.png\" \n", "\n", "print(\"Molecule Name : \")\n", "print(molName)\n", "print(\" \")\n", - "\n" + "\n", + "dump_one(loadInput,pdbName)\n", + "dump_one(loadInput, xyzName)\n", + "espCharges = loadInput.atcharges['esp'][:]" ] }, { @@ -119,7 +115,7 @@ }, { "cell_type": "code", - "execution_count": 148, + "execution_count": 119, "id": "22744f1d", "metadata": {}, "outputs": [ @@ -127,9 +123,19 @@ "name": "stdout", "output_type": "stream", "text": [ + ",\n", + " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", + " smiles : None,\n", + " smarts : None,\n", + " inchi : None,\n", + " xyz : )>\n", + "Clc1nc(Cl)ccc1\tdichloropyridine26_q+0 ub3lyp/cc-pvtz sp-stable\n", + "\n", "[,\n", - " pybel_molecule : ,\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", @@ -142,31 +148,41 @@ " \n", "Our Molecule in SMILES format: \n", "Clc1cccc(Cl)n1\n", - " \n" + " \n", + "-0.119822758\n", + "-0.119828567\n", + "-0.538243531\n", + "0.260573695\n", + "-0.453200648\n", + "-0.4532028\n", + "0.499768812\n", + "0.499772652\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "" ] }, - "execution_count": 148, + "execution_count": 119, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "dump_one(loadInput,xyzName )\n", "xyz_files = glob.glob(xyzName)\n", + "mol = Molecule('dichloropyridine26_q+0.xyz', 'xyz')\n", + "print(mol)\n", + "print(mol.visualize())\n", "\n", "# make a list of ChemML Molecule object instances based on the names of the xyz files from xyz_files\n", "molecule_list = [Molecule(xyzName, input_type='xyz') for file in xyz_files]\n", "\n", "# alter the ChemML Molecule object instances of molecule_list so that their SMILES codes can be recognzied by RDKit\n", "for molecule in molecule_list:\n", - " molecule.to_smiles(kekuleSmiles=True)\n", + " molecule.to_smiles()\n", "\n", "print(molecule_list)\n", "\n", @@ -184,284 +200,33 @@ "print(smiles)\n", "print(\" \")\n", "\n", - "chem = Chem.MolFromSmiles(smiles)\n", - "chemc = Chem.Mol(chem.ToBinary())\n", "\n", - "def imageMolecule(chem):\n", + "chem = Chem.MolFromPDBFile('test.pdb', sanitize=True)\n", + "template = Chem.MolFromSmiles(smiles)\n", + "AllChem.Compute2DCoords(chem)\n", + "tempMol = AllChem.AssignBondOrdersFromTemplate(template,chem)\n", + "\n", + "def imageMolecule(chem,imageName):\n", " \"\"\"\n", " This function consolidates all calls done to generate the desired image\n", " \"\"\"\n", + " \n", " drawMolecule = rdMolDraw2D.MolDraw2DCairo(300, 300)\n", - " rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chemc)\n", + " rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chem)\n", " drawMolecule.drawOptions().addStereoAnnotation = True\n", - " drawMolecule.DrawMolecule(chemc)\n", - " drawMolecule.FinishDrawing()\n", - " png = drawMolecule.WriteDrawingText(imageName)\n", - " png\n", - " Image(filename=imageName)\n", - "\n", - "imageMolecule(chem)\n", - "png\n", - "Image(filename=\"molecule.png\")\n" - ] - }, - { - "cell_type": "code", - "execution_count": 38, - "id": "18c584a4", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n", - "['Cl', 'C', 'C', 'C', 'C', 'C', 'Cl', 'N', 'H', 'H', 'H']\n" - ] - } - ], - "source": [ - "symList =[]\n", - "atomList = []\n", - "chem2 = Chem.AddHs(chem)\n", - "for atom in chem2.GetAtoms():\n", - " step = atom.GetSymbol(),atom.GetAtomicNum()\n", - " symList.append(step)\n", - " atomList.append(atom.GetSymbol())\n", - "print(symList)\n", - "print(atomList)\n" - ] - }, - { - "cell_type": "markdown", - "id": "a6bf61ec", - "metadata": {}, - "source": [ - "## Annotations\n", - "We now want to retrieve IOData information, and add it to our visualization by appending the information to the MOL Object. \n", - "\n", - "In this context, we are outputting atomic number and electrostatic potential charges. \n" - ] - }, - { - "cell_type": "code", - "execution_count": 149, - "id": "cb1be89f", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "IOData Retrieved Charges, Bulk : \n", - "{'mulliken': array([-0.17984029, -0.17984725, 0.05002824, -0.04091242, 2.02394948,\n", - " 2.0239583 , -0.86473324, -0.86474131, -0.67554864, -0.64615815,\n", - " -0.64615473]), 'esp': array([-0.11982276, -0.11982857, -0.53824353, 0.26057369, -0.45320065,\n", - " -0.4532028 , 0.49976881, 0.49977265, 0.0844758 , 0.16985231,\n", - " 0.16985503]), 'npa': array([ 0.01191899, 0.01191245, -0.49012581, -0.1689309 , -0.27573862,\n", - " -0.2757388 , 0.21524212, 0.21524428, 0.24472353, 0.25574567,\n", - " 0.25574709])}\n", - " \n", - "IOData Retrieved Atomic Numbers : \n", - "[17, 17, 7, 6, 6, 6, 6, 6, 1, 1, 1]\n", - " \n", - " IOData Retrieved ESP Charges : \n", - "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", - " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", - " \n", - "Atoms and Numbers from RDKit\n", - "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n", - " \n", - "2\n", - "3\n", - "4\n", - "5\n", - "6\n", - "7\n", - "8\n", - "9\n", - " \n", - "matche list ERROR NEED DEBUG: \n", - "[(('Cl', 17), -0.119828567), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), -0.453200648), (('Cl', 17), -0.119828567), (('N', 7), -0.538243531), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('H', 1), 0.16985231)]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "execution_count": 149, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "chem2 = chem\n", - "numbers = np.ndarray.tolist(loadInput.atnums)\n", - "\n", - "print(\"IOData Retrieved Charges, Bulk : \")\n", - "chargeDict = (loadInput.atcharges)\n", - "print(chargeDict)\n", - "\n", - "espCharges = (chargeDict['esp'][:])\n", - "print(\" \")\n", - "print(\"IOData Retrieved Atomic Numbers : \")\n", - "print(numbers)\n", - "\n", - "print(\" \")\n", - "print(\" IOData Retrieved ESP Charges : \")\n", - "print(espCharges)\n", - "print(\" \")\n", - "\n", - "print(\"Atoms and Numbers from RDKit\")\n", - "print(symList)\n", - "matchedList=[]\n", - "\n", - "\n", - "\n", - "def matchListCharges():\n", - " \"\"\"\n", - " this is meant to address the discrepancy between the way IOData will list atomic nums and charges,\n", - " and how RDKit will list and render to image\n", " \n", - " First we iterate through our RDKit list of chemical symbols:\n", - " test = symbol\n", - " then we iterate through our loadInput.atcharges['esp'][:]:\n", - " where symbol[1] the corresponding RDKit atomic number, matches the IOData atomic number: \n", - " test2 = corresponding charge \n", - " step = test,test2 together in ordered pair style format\n", - " append step to matchedList and return \n", + " for i, atom in enumerate(tempMol.GetAtoms()):\n", + " atom.SetProp(\"atomNote\", f\"{np.round(float(espCharges[i]),3)}\")\n", + " print(espCharges[i])\n", " \n", - " \"\"\"\n", - " counter = 1\n", - " for i,value in enumerate(symList): \n", - " test = value\n", - " for k,charge in enumerate(espCharges):\n", - " if value[1] == numbers[k]: # value[1] = atomic number from RDKIT numbers[k] == atomnum IOData\n", - " test2 = espCharges[k]\n", - " if numbers[i-2] == numbers[k]:\n", - " counter +=1\n", - " test2=espCharges[i-1]\n", - " print(counter)\n", - " step = test,test2\n", - " matchedList.append(step)\n", - " \n", - "print(\" \")\n", - "matchListCharges()\n", - "print(\" \")\n", - "print(\"matche list ERROR NEED DEBUG: \")\n", - "print(matchedList[:])\n", + " Chem.Draw.MolToFile(tempMol,imageName)\n", "\n", "\n", + "imageMolecule(test,imageName)\n", "\n", - "for i, atom in enumerate(chem2.GetAtoms()):\n", - " atom.SetProp(\"atomNote\", f\"{matchedList[i][1]}\")\n", - "\n", - "chem2\n" + "Image(imageName)" ] }, - { - "cell_type": "code", - "execution_count": null, - "id": "1593459e", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 92, - "id": "5ec5be3a", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n", - " \n", - "-0.119822758\n", - "-0.119828567\n", - "0.260573695\n", - "-0.453200648\n", - "-0.4532028\n", - "0.499768812\n", - "0.499772652\n", - "0.260573695\n", - "-0.453200648\n", - "-0.4532028\n", - "0.499768812\n", - "0.499772652\n", - "0.260573695\n", - "-0.453200648\n", - "-0.4532028\n", - "0.499768812\n", - "0.499772652\n", - "0.260573695\n", - "-0.453200648\n", - "-0.4532028\n", - "0.499768812\n", - "0.499772652\n", - "0.260573695\n", - "-0.453200648\n", - "-0.4532028\n", - "0.499768812\n", - "0.499772652\n", - "-0.119822758\n", - "-0.119828567\n", - "-0.538243531\n", - "0.0844758043\n", - "0.16985231\n", - "0.169855031\n", - "0.0844758043\n", - "0.16985231\n", - "0.169855031\n", - "0.0844758043\n", - "0.16985231\n", - "0.169855031\n", - " \n", - "matche list ERROR NEED DEBUG: \n", - "[(('Cl', 17), -0.119828567), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('C', 6), 0.499772652), (('Cl', 17), -0.119828567), (('N', 7), -0.538243531), (('H', 1), 0.169855031), (('H', 1), 0.169855031), (('H', 1), 0.169855031)]\n" - ] - } - ], - "source": [ - "print(symList)\n", - "matchedList=[]\n", - "def matchListCharges():\n", - " for i,value in enumerate(symList): \n", - " test = value\n", - " for k,charge in enumerate(espCharges):\n", - " if value[1] == numbers[k]:\n", - " test2 = espCharges[k]\n", - " print(test2) #DEBUG REMOVE LATER\n", - " step = test,test2\n", - " matchedList.append(step)\n", - "print(\" \")\n", - "matchListCharges()\n", - "print(\" \")\n", - "print(\"matche list ERROR NEED DEBUG: \")\n", - "print(matchedList)\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "b7247b2a", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "f1d740fc", - "metadata": {}, - "outputs": [], - "source": [] - }, { "cell_type": "code", "execution_count": null, diff --git a/examples/annotate_3D/3DimensionAnnotation.ipynb b/examples/annotate_3D/3DimensionAnnotation.ipynb index 6fe1665b..73296cee 100644 --- a/examples/annotate_3D/3DimensionAnnotation.ipynb +++ b/examples/annotate_3D/3DimensionAnnotation.ipynb @@ -1,24 +1,56 @@ { "cells": [ + { + "cell_type": "markdown", + "id": "1b23acba", + "metadata": {}, + "source": [ + "# 3D Annotation of a given molecule \n", + "\n", + "## Introduction\n", + "When working with computational chemistry files, it is sometimes desired to visualize the working molecule and annotate specific features. \n", + "## Dependencies\n", + "\n", + "1. NumPy\n", + "2. IOData \n", + "3. IPython`s Image module, optional, used to display example image only. \n" + ] + }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 19, "id": "3a98701f", "metadata": {}, "outputs": [], "source": [ - "import pandas as pd\n", "import numpy as np \n", "\n", "import iodata\n", "from iodata import load_one, dump_one \n", "\n", - "import io\n" + "from IPython.display import Image\n" + ] + }, + { + "cell_type": "markdown", + "id": "b8a0c915", + "metadata": {}, + "source": [ + "## Opening of Input File \n", + "\n", + "We need to establish a means to opening our `fchk` file, and then obtaining our desired information, aptly named `workingBFactor`. This is accomplished using the `load_one` and `dump_one` functions from IOData which allows us to read and write data, respectively. \n", + "\n", + "`inFile` is our Input File\n", + "`interFile` is our intermediate file \n", + "`outFile` is our final PDB file. \n", + "`title` is the name of the molecule, obtained from `inFile` \n", + "\n", + "In this example, we are extracting Electrostatic Potential Charges using `atcharges` from IOData. " ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 20, "id": "1a9a64b9", "metadata": {}, "outputs": [ @@ -63,12 +95,25 @@ "workingBFactor = loadInput.atcharges['esp'][:]\n", "print(\"Our Working B Factor to replace within IOData Dump : \")\n", "print(workingBFactor)\n", - "print(f\"\\nWill be written to {outFile} and dumped\")" + "print(f\"\\nWill be written to {outFile} and dumped\")\n", + "dump_one(loadInput,interFile)" + ] + }, + { + "cell_type": "markdown", + "id": "c926e236", + "metadata": {}, + "source": [ + "## Writing Our Selected B Factor to Our Output PDB File \n", + "\n", + "We now need to take `workingBFactor` and append it into the \"B Factor\" column of what will be our PDB File. \n", + "\n", + "We accomplish this by iterating through our B Factors using IOData's `extra` function, and for every 0 entry for our B Factors (default, as there has been no additional data written to our `fchk` input file), we will write in our desired B Factor, then save to PDB. " ] }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 22, "id": "3fde180d", "metadata": {}, "outputs": [ @@ -85,25 +130,57 @@ } ], "source": [ - " \n", - "workingBfactor = np.array(loadInput.atcharges['esp'][:])\n", + "\n", + "workingBfactor = loadInput.atcharges['esp'][:]\n", "print(workingBfactor)\n", - "test = load_one('intermediate.pdb')\n", "\n", - "for i,item in enumerate(test.extra['bfactors']):\n", - " test.extra['bfactors'][i] = workingBfactor[i]\n", + "Final = load_one('intermediate.pdb')\n", + "Final.extra['bfactors'][:] = workingBfactor[:]\n", + "\n", "print(\" \")\n", - "print(f\"Written {test.extra['bfactors'][:]} to {outFile}\")\n", - "dump_one(test,'test22.pdb')" + "print(f\"Written {Final.extra['bfactors'][:]} to {outFile}\")\n", + "dump_one(test,outFile)" + ] + }, + { + "cell_type": "markdown", + "id": "80f09873", + "metadata": {}, + "source": [ + "## Visualizing our PDB File with ChimeraX \n", + "\n", + "ChimeraX is a tool capable of visualizing a variety of chemical file formats as well as DICOM Medical images, and is maintained by staff at the University of California San Francisco. \n", + "\n", + "To visualize our file:\n", + "\n", + "1. Open ChimeraX\n", + "2. Either enter into the ChimeraX Command Line `open outFileName` or use File > Open from the uppermost toolbar \n", + "3. Once the PDB has been loaded, run from ChimeraX Command Line `label #1 atoms attribute bfactor` or use Actions > Label > Atoms > Other > Bfactor, from the afforementioned toolbar \n", + "\n", + "The below example is 2,6-Dichloropyridine, annotated with the Electrostatic Potential Charges obtained using IOData's `atcharge` function" ] }, { "cell_type": "code", - "execution_count": null, - "id": "cda77d5f", + "execution_count": 14, + "id": "a8ed2fad", "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "image/png": 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a/examples/annotate_3D/3DimensionAnnotation.ipynb b/examples/annotate_3D/3DimensionAnnotation.ipynb index 73296cee..b70d13d2 100644 --- a/examples/annotate_3D/3DimensionAnnotation.ipynb +++ b/examples/annotate_3D/3DimensionAnnotation.ipynb @@ -18,17 +18,13 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 24, "id": "3a98701f", "metadata": {}, "outputs": [], "source": [ - "import numpy as np \n", - "\n", "import iodata\n", - "from iodata import load_one, dump_one \n", - "\n", - "from IPython.display import Image\n" + "from iodata import load_one, dump_one " ] }, { @@ -50,7 +46,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 25, "id": "1a9a64b9", "metadata": {}, "outputs": [ @@ -113,7 +109,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 26, "id": "3fde180d", "metadata": {}, "outputs": [ @@ -159,28 +155,6 @@ "\n", "The below example is 2,6-Dichloropyridine, annotated with the Electrostatic Potential Charges obtained using IOData's `atcharge` function" ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "a8ed2fad", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "Image(filename='./3DAnnotateExample.png') # OPTIONAL " - ] } ], "metadata": { From 384fb689b25933634eda84549069bb0ee125a530 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Mon, 16 Aug 2021 20:32:12 -0400 Subject: [PATCH 063/126] corrected 2d annotation --- examples/annotate_2D/Annotate_2D.ipynb | 1 - 1 file changed, 1 deletion(-) diff --git a/examples/annotate_2D/Annotate_2D.ipynb b/examples/annotate_2D/Annotate_2D.ipynb index 1304d74f..87e25fd3 100644 --- a/examples/annotate_2D/Annotate_2D.ipynb +++ b/examples/annotate_2D/Annotate_2D.ipynb @@ -16,7 +16,6 @@ "1. IOData\n", "2. Numpy\n", "3. RDKit\n", - "4. Collections\n", "5. CHEMML \n", "6. Pandas\n", "7. Glob \n", From af0f121c8d135281fae41721801a54d4c64cea0f Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Thu, 19 Aug 2021 12:39:09 -0400 Subject: [PATCH 064/126] finalization --- examples/annotate_2D/Annotate_2D.ipynb | 71 +++-- .../annotate_3D/Annotate_3D_Chimera.ipynb | 253 ------------------ examples/plotting/2D_Plotting_Gradient.ipynb | 135 +++------- 3 files changed, 87 insertions(+), 372 deletions(-) delete mode 100644 examples/annotate_3D/Annotate_3D_Chimera.ipynb diff --git a/examples/annotate_2D/Annotate_2D.ipynb b/examples/annotate_2D/Annotate_2D.ipynb index 87e25fd3..aa383e6a 100644 --- a/examples/annotate_2D/Annotate_2D.ipynb +++ b/examples/annotate_2D/Annotate_2D.ipynb @@ -24,7 +24,7 @@ }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 2, "id": "3744a11c", "metadata": {}, "outputs": [], @@ -63,7 +63,7 @@ }, { "cell_type": "code", - "execution_count": 118, + "execution_count": 6, "id": "ee68d1a9", "metadata": { "scrolled": true @@ -74,17 +74,17 @@ "output_type": "stream", "text": [ "Molecule Name : \n", - "dichloropyridine26_q+0\n", + "acrolein_q+0\n", " \n" ] } ], "source": [ - "inputName = 'dichloropyridine26_q+0.fchk'\n", + "inputName = 'acrolein_q+0.fchk'\n", "loadInput = load_one(inputName) \n", "\n", - "xyzName = 'dichloropyridine26_q+0.xyz'\n", - "pdbName = 'dichloropyridine26_q+0.pdb'\n", + "xyzName = 'acrolein_q+0.xyz'\n", + "pdbName = 'acrolein_q+0.pdb'\n", "molName = xyzName[:-4]\n", "imageName = f\"{molName}.png\" \n", "\n", @@ -114,7 +114,7 @@ }, { "cell_type": "code", - "execution_count": 119, + "execution_count": 9, "id": "22744f1d", "metadata": {}, "outputs": [ @@ -124,7 +124,7 @@ "text": [ ",\n", + " pybel_molecule : ,\n", " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", " smiles : None,\n", " smarts : None,\n", @@ -133,39 +133,46 @@ "Clc1nc(Cl)ccc1\tdichloropyridine26_q+0 ub3lyp/cc-pvtz sp-stable\n", "\n", "[,\n", - " pybel_molecule : ,\n", - " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", - " smiles : 'Clc1cccc(Cl)n1',\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", + " creator : ('XYZ', 'acrolein_q+0.xyz'),\n", + " smiles : 'C=CC=O',\n", " smarts : None,\n", " inchi : None,\n", - " xyz : )>]\n", + " xyz : )>]\n", " \n", "\n", - " Name SMILES\n", - "0 dichloropyridine26_q+0.xyz Clc1cccc(Cl)n1\n", + " Name SMILES\n", + "0 acrolein_q+0.xyz C=CC=O\n", " \n", "Our Molecule in SMILES format: \n", - "Clc1cccc(Cl)n1\n", + "C=CC=O\n", " \n", - "-0.119822758\n", - "-0.119828567\n", - "-0.538243531\n", - "0.260573695\n", - "-0.453200648\n", - "-0.4532028\n", - "0.499768812\n", - "0.499772652\n" + "-0.473096529\n", + "-0.16880218\n", + "0.492524424\n", + "-0.353041221\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Exception ignored in: \n", + "Traceback (most recent call last):\n", + " File \"/home/woodn/.conda/envs/chemml_env/lib/python3.7/site-packages/iodata/utils.py\", line 80, in __del__\n", + " self.f.close()\n", + "AttributeError: 'LineIterator' object has no attribute 'f'\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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NMlowgCVLNFnSutn60fbv1+w4fnwrR9HeIayrq0tOTuZfDkZSeeothg1+GjY1NZXfWe7q6nr06FEDvjK03Jgx94Mkk7EbN5qxo1qtuZ5hYcFaNz+u/UJ48+bNmJiYvn378p91e3v78PDwq1evttsAmiopKWnPYriwsHDs2LEoTQVQqVjTX+Zra5ml5f0gPaCZ78O89prmy7B1v/C3RwiNsK2LqGK4vr4+IiKCn+wJCAhAadrmSkpYTAxzc2NKpe6qc+c0KXr55Wa/8ooVmt3Xrm3NGNswhLW1tUql8qmnnuI/6GZmZtOnTxc768dIiuHt27fz0tTNza3d5nyYnBMn2Guvab7rXn1Vd4ODB5t9XlTbv/6l2f3Pf27NSNskhAZv69J6xlYMFxQUjBkzhpemMTExAn8l7mzq6lhyMhs37n485HLm789SU/Vc/du27VeXB5vrv//V7L54cWuGbOAQtkVbl1YywmKY0y5NZ8yYIfaehM7g5k0WE8NcXO4Hw96ehYezhxxnk5I0KdLqSvi4DhzQ7P7737di3AYKYZu2dWmZ2tra5OTk0aNHS5Wn8GJYr++//57PinRzc+M9vKDZ0tNZSAhTKDRzHWJj2SOPs//5jyZFERHNftPUVM3uH33UsoFzrQ1h+7R1aRYjLIYfrqCggB8sUJo2T20tS05mo0drKs/p01la2uPObzh6tFVfZZs2aXb/y1+avbuWFoZQSFuXRzLCYvgxqVQqqTSdOXMmStNHKCpiUVGsV6/7GXB0ZBERrLnH2UuXNCl67rlmj2HpUs3u//xns3fX0uwQ6m3rIraOMsJiuGW2bdvGS1N3d3eUpvodPswCAzW3UA8fzuLjW3itXK1m3btrYtxcM2dqQnjhQksG8ItmhNBI2rpou3z5srEVw62Un58/atQofnSLjY0VPRyjUVPDlEo2bJjmJpXAQNb64+zUqS0MUl0d69lTcwaodfddPDqEjY2NaWlp2k8La8F8AsMyzmLYUGpra8PDw/nnmjVr1t27d0WPSKjLl1lEhOYnvndvFhHBDHWc/eqrFp5c2bJFs2NgYCtH8bAQGmFbF7E9DtvT1q1bu3XrxkvT48ePix6OCLzylCa8+/oypdJQk9nvKytjXbpoptKXlDzWXg0NbPhwTQgPHmzlKB4Wwp07d/KfdWNo66K3GL5165bAIbW1/Pz8kSNHmlxpWlnJ4uPZkCH3f8QtLVlgIGu74+wbb/zq5rXHKSyXLdPsMnx464fwsBA2NjbOnz9/x44dAm81bloM88pTYDHcnrRL0xdffLGTl6aXLrGICM3JEmdnFhXF2vo4W1bGnJ01oZo//xGTdFeuZDLZ/Y0VCnb6dOuHYBQz6/UywmJYlC1btvDSdNCgQTrPl+wMGhtZWhqbPl3zw80rz3Y7zu7e/auOFZ6e7N//1p3g29DADh5kEydqNiNiMTEGeX9jDKER9jgULjc3l98Kb2Vl1XlK04oKFh/PvL3v/0xbWbGQECbkOJuaqvnlUBrMqFFsxgw2ezabMEFzZkiaf/jFF4Z6cyMKoRH2ODQqNTU1Umk6e/bs8vJy0SNqufPnz+dFRrKuXe//TPfvz776iom9ReHECfZ///erpD3oT79+bMsWA76zUYRQb4/DFrd16dxSUlLs7e2JyNPT8+zZs6KH0zzax9k3hg5lRGzcOJac3H6V58Op1Sw5mQUEaI4O2n/MzZmfH1u9mtXWGvZtBYfQCHscGr+cnJwnn3yyY5WmpaWlX3zxhdsvz3KwtbV955136nNyRI7p7t0HXu6vrWUnTrDUVLZhA1u3jm3dyv73P9ZmpYeYEBphj8OORbs0fe2118Q2yHo4YzzO5uSw8HBmY8OsrZkRNDdo7xC2c1uXzm3Tpk02NjZE5OXlZWznjdunfVZzx8S2bmWTJmlOrvj7s0uXhI3nF+0XQiPscdgJZGdnDxs2zKhKU36clSpPozjOlpez2FhNfzQbGxYayozmpEObh9BI2rp0YtqlaUhIiMDjmjEeZzMyWGgos7a+H78BA1hMjDGUoNraMITG1talc/vmm2/4lVUvL69z586151sb43G2oYGlpjJ/f818X39/lpys5zEvRqBNQmi0bV06t6ysLD6p0srKKj4+vh3e0RiPs1KPQx4/OzsWGtrK+X5tzZAh1GnrYgw9Dk1NdXV1aGioVJree8yHKzSfznHW29s7NjZW8HE2PZ2FhmpufPH0ZDExrCPcbWuYEHa4ti6dm1Kp5KWpt7e3YUtTY2yfxXsc6lSeenscGqvWhrDjtnXp3LKysoYOHUpEXbp0SUhIaP0LGuNxVm+PwytXRA6pRVoYwk7T1qUTq66ufuONN1pfmuocZ4cPHy7+OKu3x2Gb1d5trSUhXLJkCZ9ZQ0R9+vSJjo4uLi42+MjAIKTSdPDgwc26HZcfZ/lFSGM5zvIeh9KjlJrb49BYtSSE8+bNo87V1qVzu3jxolSa/v3vf3/k9rx9Fn/GMBE5OTmJb59144aeHof5+SKHZDgtCWFubu6ZM2cMPhRoO1VVVXPnzpVK0wedxuSVp3G1z+KVp0F6HBoro5jKBO1DqVTyG6kHDx6cmZmps/b48eM8e1ZWVgsWLDhtiMYNLddGPQ6NEkJoWi5cuMB71dnY2Hz77bc6a2fMmLFs2TKxvWR1exw6ORmyx6FRQghNTlVVVXBw8CNL03amVqv37NkT9OKL6m7d7sdv7FiWmGjgHodGCSE0UVJp6uPjc0HoXV06vWRPTZ7MFixg6ekCh9TOEELTdeHCBR8fHyKytbVNTExs/wFcunTJ1HrJ6oUQmrTKyspXX321nUvTB/WSNdnLXQghMKVSyScBPv3005facqY57yU7ePBgnj1LS8uQkJAO167K4BBCYIyxM2fODBw4kJemSUlJBn/9nJwc7V6yHh4e6CUrQQjhvsrKyqCgIKk0NcjdoUb4SC8jhBDCr8TFxVlaWjo4OBQVFbXmdcrLy2NjY/v168ezZ2Njg16yDyJjjBGAltOnT1dUVEyaNKllu2dkZKxbt27z5s3V1dVENHDgwDfeeCM0NFQ6Cwo6EEIwjMbGxl27dq1evXrv3r1EJJfLJ02aFBoaOnv2bOlmVNDLXO9SlUqVlJR0+PDh6upqd3f34OBgaeqgjosXLyYmJubn53fr1s3HxycoKEh6ePWxY8e2b9+us/24ceMCAgL4f+fk5GzevDk/P9/Ozs7b2/vVV1+V5oxCB3Lr1q2NGzeuXbu2sLCQiOzs7IKCgt577z3pLCg8QtMKtaysjHdZt7a2dnFxISIzM7PVq1frbKZWqyMjI2UymYWFhZubGz/x5eDgIE2wiIqKavp2X/zyLJvo6Gi5XK5QKFxdXXkH2x49epjoI2k7LGPscdgB6Qnhyy+/TERvvvkmv3R76tSp3r17y+XykydPam+2ceNGInrrrbf4kyvr6+s/++wzIvL19eUb8I5DentvJSUlEdGCBQt4O/SGhobly5cTkY+Pj6E/IBieMfY47Mh0Q5iXlyeTyVxcXLRPIm/YsIGI5syZo73ljRs3li1bpvMQX15P8rPbAQEBMpmspqam6bsWFxd//vnnOuepeW/820bWmBW08R6HvD4iI+lx2PHphnD16tVEtHjxYu2FFRUVVlZWdnZ2Dz/UqVQqKysrGxsbvpmvr2+PHj0ecxwNDQ329vYWFhYme++SkTPGHoedhe6JmQsXLhDR8OHDtRfa2dkNHDgwMzOzsLBQeoqgDpVK9eGHH9bW1n744Yf8ymxxcbGzs/P58+czMjJUKpWPj8+YMWOki7ba6uvrIyMjKyoqFi5cKP1vBiORlJS0fPnyjIwMIjI3Nw8MDFy4cOGECRNEj6sT0QnlSy+9RERN+/lMnDiRiPTOtv74448nTZrk4OBgZWUVHR3NC9SGhgZzc3OdyI0cOTL/131BoqOjJ0+e7OTkZGFh8cknn+ChvEZo4cKFZCQ9Djsp+RNabt68qVKpiMjKykonq3zuWV1dnd4km5ub29vb19bWpqWl5efnE5GZmdmOHTs2bNhQUFBQXV2dnZ0dEhJy8uTJF198Ua1WN91XpVLt3bv38uXLBjq2gMGEh4crlcrCwkLtZy2BIT2vpaSkhM+53rZtm05YR40aRURNG5No+/77783NzQcNGqT397rGxkb+IgcPHmy6dteuXQqFwt3dvdbQzyIGMHLyXVocHR09PDyI6ObNmzpZLSoqkslk0q2Aes2cOfO55567dOnSsWPHmq6Vy+XPPPMMEWVnZ+s9FsycObOgoODQoUMtO5oAdFBynb/zxwzs3LlTe+FPP/10/fr1YcOGSVNRHsTJyYmIysrK9K69e/cuEUmNg5u1L0BnpRtCf3//3r17p6WlZWZmSgtXrVpFRCEhIdpbZmZmLliwoLa2Vlpy7969/fv3E9GQIUPKy8s/+ugjfgsvV1RUtHXrVktLy2eeeSYnJ4fP45bW1tTUpKWl8X0N+fkAjF/TCnXz5s1E5ODg8OWXX3777beBgYFENGTIEH4JPjY21tPTMzExccWKFUQ0ePDg1atXp6amJiQk8JvdgoKCGGN//vOficjV1fWTTz755ptvoqOj+RfdX/7yF8bY2rVr6Ze7nFJTU9evX+/r60tEM2fObOdyHEA4/fMJlUplnz59eErNzMxmzJghzS77+OOPiWjt2rWMsaSkJP47JNe1a9dFixbxW2TUanVCQsKgQYOktQMGDNi0aZP0Flu2bOFTuTlra+uwsDBc/AUT9MCpTGq1+tKlS9XV1W5ubtJjCYiopqampqama9eulpaWfEleXt7Nmzft7Oy8vLyaXtu4fv16SUlJz5499Z7UuXLlSlFRka2trZeXl3QfMIBJwXxCAMF0T8wAQDtDCAEEQwgBBEMIAQRDCAEEQwgBBNPfbQ06lsbGxtzcXH5R18HB4ZHbM8bKy8uJyMzMzM7OTntVXV1dXl6eSqXq37+/vb29zo4NDQ0FBQVVVVWurq7aV4+hVQTfLACt9o9//IPfEkhEMplsypQpj2z6EhcXx7fX7qzV2Ni4bNkyqWOlQqEICQkpLy+XNli7dq10HxURPfHEE4cPH26jD2VSEMKObdOmTUTk6Oi4cuXKpKQkfpP9gAEDKioqHrRLYWGhra2tr6+vpaWldggXLVrE942NjY2Li5s6dSoRTZ48mXcMioyMJKLf/OY3GzZsSExMfPfddxUKRZcuXbKzs9vjc3ZqCGEHVlNT4+TkZG5urj3Z+q233iKiTz/99EF7zZgxQy6XHz9+3MrKSgrh1atX5XK5o6Oj9IxOtVrNO+Fv3769vr7e399/3rx52p2+eCwjIyPb5sOZEJyY6cD27t1bUlLi7++vPf8rPDyciBITE/XukpiYmJqaGh4ezrscSPbt26dWq+fOnSv9SimTyXh3mZSUFHNz87S0tPXr12s3DfLy8iKiyspKQ38sk4MQdmAnTpwgohdeeEF7oY+Pj4eHR05ODp9Cre327dvvv/++s7Pz0qVLdVbxLOk8s+Xpp58morNnz/K/6jTCS01NJSI/P79Wfw5Th7OjHVhBQQEROTs76yzv06fP1atXCwoKdEL13nvv3bp1a9u2bU1Pe3p6ehLRkSNHtBdaWFgQ0a1bt6QlFRUVp06dKi4uTk5O3rFjB3/ei+E+kIlCCDuwe/fuEVHTSwV8SVVVlfbC3bt3b968edq0abNmzWr6UlOnTvX09Pzhhx/CwsLmz59vYWFx4MAB/mwC7RZ7Fy9enDJlCv9vPz+/yMhIuRzFVGvhX7AD499U2j1EOB5O7bmd1dXV77zzjrW19Zo1a/S+lEKh2L59u4+Pz5o1a0aOHPnUU09FRkbOmzePiLQvJD799NOXL18+evToypUrMzMzhw8fzrtFQ2vgm7AD4ydRSktLdZbzZlnaV+3/9Kc/XblyZdGiRWq1+sqVK3whY0ylUl25cqVHjx7dunXz9vY+f/78kSNHLl++3LNnz/Hjx+fn58fExGjPxraysurfv3///v3Hjh3r7qsqWuoAAAL7SURBVO7+0ksvRUVFpaSktPUn7eREn56FlouPjyeihQsXai+srKzs0qWLnZ2d9rN6Hl40Ss+r05GQkEBEH3zwgd61t2/fJqIBAwYY8BOZJnwTdmDPP/+8XC7/7rvvvvrqK16aEtHWrVtrampmzZqlHbyvv/666e5hYWG9evVaunTpyJEjm65taGiIi4uTyWSvvfYaEWVlZfXt21e7NL1x4wb9uliFFhJ9FIBW4bfIzJs3jz+a88SJE05OTmZmZhkZGYyx9PT0devWPahvuvbFesZYYWFhbm4u/+/Lly/zByovWLCAMVZRUeHk5OTr63vu3Dm+wbVr18aPH09Ey5Yta9MPaAoQwo6tvLycX3a3tLTkN3YqFIp169bxtfx6YFxcnN59dUI4Y8YMIurRo4d0J+rcuXOlpxIolUre+tnZ2dnd3Z0/hn727Nl4lF3rodFTh9fQ0JCSknLo0KGqqioPD4/g4GDpYfEHDhzYt29fQECAzv0x3Mcff9yjRw9+yygRFRcXJyYmZmdn19XVubu7z5gxY8SIEdrbX79+PTExMTMz8+eff3Z1dZ02bRq/vxRaCSEEEAzXCQEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQT7f0JDv87GXgmOAAAAt3pUWHRyZGtpdFBLTCByZGtpdCAyMDIxLjAzLjQAAHice79v7T0GIOABYkYGCGABYmYgbmDkYNIAsZl0QUL+hgoKICV6IEIfRCgYgJRFRESY/wcCQ7CQEZg0hpj0wd6SjSkDZAQzI9gMZyOoGUwUmGEMNYOZDDOYIH5xNoGawUKKGdxMjApMDBpMzIwaTCIM4rDwYmD5lvzXvvMYtx2I86BAcv/1S89gbHsgex+IDVSzH6gGzBYDALMrPeAX0Wt2AAAAl3pUWHRNT0wgcmRraXQgMjAyMS4wMy40AAB4nKWQwQoCMQxE7/mK+YGWabftmrP1JCp48B+87/+zrZWy4C4UDDlkSPJgRlDrma/vBb18FgECMAHcbVXFy5OUeu+szprqROumFNtUtsQDR4htV4qhjaqh/YbI04ZyHqagU8wfFNMdmR9Hw5QSni/ZdOE+mi1Z/xU34HLPsgJaWTz5DMp5mwAAAIR6VFh0U01JTEVTIHJka2l0IDIwMjEuMDMuNAAAeJxVjDsKgDAQBa9iqbBZsq5J3ASr9OoVLCwlIpYe3gh+sBuGNy92MXZDcZSKUJxYAqWR2BoIGYwIOwGNjdFt7SC8Sn3uCe+ugmlPy7il1Wu8sE/7jHnPhj39DFnx9WfypbDn36RxfJxVKCmpyscJfgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, - "execution_count": 119, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -200,7 +207,7 @@ "print(\" \")\n", "\n", "\n", - "chem = Chem.MolFromPDBFile('test.pdb', sanitize=True)\n", + "chem = Chem.MolFromPDBFile(pdbName, sanitize=True)\n", "template = Chem.MolFromSmiles(smiles)\n", "AllChem.Compute2DCoords(chem)\n", "tempMol = AllChem.AssignBondOrdersFromTemplate(template,chem)\n", @@ -221,7 +228,7 @@ " Chem.Draw.MolToFile(tempMol,imageName)\n", "\n", "\n", - "imageMolecule(test,imageName)\n", + "imageMolecule(tempMol,imageName)\n", "\n", "Image(imageName)" ] @@ -233,6 +240,14 @@ "metadata": {}, "outputs": [], "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e64c6d0d", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/examples/annotate_3D/Annotate_3D_Chimera.ipynb b/examples/annotate_3D/Annotate_3D_Chimera.ipynb deleted file mode 100644 index b97b9098..00000000 --- a/examples/annotate_3D/Annotate_3D_Chimera.ipynb +++ /dev/null @@ -1,253 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 18, - "id": "1f5c3fdd", - "metadata": {}, - "outputs": [], - "source": [ - "import iodata\n", - "from iodata import load_one,dump_one\n", - "import numpy as np\n", - "\n", - "import rdkit\n", - "from rdkit import Chem\n", - "from rdkit.Chem import PeriodicTable\n", - "\n", - "from chemml.chem import Molecule\n", - "\n", - "import os,glob,sys\n", - "\n", - "import pandas as pd \n", - "\n", - "import mendeleev \n", - "from mendeleev import element" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "8d549015", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "dichloropyridine26_q+0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "RDKit WARNING: [14:43:30] Counts line too short: '' on line4\n" - ] - } - ], - "source": [ - "inFile = 'dichloropyridine26_q+0.fchk'\n", - "loadInput = load_one(inFile)\n", - "dump_one(loadInput,'test.pdb')\n", - "dump_one(loadInput,'intermediateFile.xyz')\n", - "interFile='intermediateFile.xyz'\n", - "molName = inFile[:-5]\n", - "mol = Chem.MolFromMolFile('test.mol2')\n", - "print(molName)" - ] - }, - { - "cell_type": "code", - "execution_count": 57, - "id": "b6043f33", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "('Cl', 17)\n", - "('C', 6)\n", - "('C', 6)\n", - "('C', 6)\n", - "('C', 6)\n", - "('C', 6)\n", - "('Cl', 17)\n", - "('N', 7)\n", - "('H', 1)\n", - "('H', 1)\n", - "('H', 1)\n", - "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n" - ] - } - ], - "source": [ - "symList = []\n", - "def rdkitProcessInputs(interFile,symList):\n", - " xyz_files = glob.glob(interFile)\n", - " molecule_list = [Molecule(interFile, input_type='xyz') for file in xyz_files]\n", - " for molecule in molecule_list:\n", - " molecule.to_smiles(kekuleSmiles=True)\n", - " table = pd.DataFrame(data={'Name':interFile, \n", - " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", - " columns=['Name','SMILES'])\n", - " smiles = table.iloc[0,1]\n", - " interMol = Chem.MolFromSmiles(smiles)\n", - "\n", - " interMol = Chem.AddHs(interMol)\n", - "\n", - " for atom in interMol.GetAtoms():\n", - " step = atom.GetSymbol(),atom.GetAtomicNum()\n", - " print(step)\n", - " symList.append(step)\n", - " #print(atom.GetSymbol(), atom.GetAtomicNum(), atom.GetTotalNumHs())\n", - "rdkitProcessInputs(interFile,symList)\n", - "\n", - "print(symList)" - ] - }, - { - "cell_type": "code", - "execution_count": 58, - "id": "edf3a177", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "[(17, -0.119822758), (17, -0.119828567), (7, -0.538243531), (6, 0.260573695), (6, -0.453200648), (6, -0.4532028), (6, 0.499768812), (6, 0.499772652), (1, 0.0844758043), (1, 0.16985231), (1, 0.169855031)]\n" - ] - } - ], - "source": [ - "\n", - "espCharges = (loadInput.atcharges['esp'][:])\n", - "numbers = loadInput.atnums\n", - "\n", - "print(\"\")\n", - "\n", - "numChargeDict = []\n", - "for i in range(0,len(numbers)):\n", - " step=numbers[i],espCharges[i]\n", - " numChargeDict.append(step)\n", - " \n", - "print(numChargeDict)\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "606397d7", - "metadata": {}, - "outputs": [], - "source": [ - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 106, - "id": "0c73fda1", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "['Cl', 'C', 'C', 'C', 'C', 'C', 'Cl', 'N', 'H', 'H', 'H']\n", - "['Cl1', 'C2', 'C1', 'C1', 'C2', 'C3', 'Cl4', 'N5', 'H1', 'H2', 'H3']\n" - ] - } - ], - "source": [ - "redundantNumberDict = []\n", - "convertedSymDict = []\n", - "\n", - "def ConvertAtomnumToAtomsym(convertedSymDict):\n", - " for i in range(0,len(numbers)):\n", - " if numbers[i] == symList[i][1]:\n", - " step = symList[i][0]\n", - " convertedSymDict.append(step)\n", - " elif numbers[i] != symList[i][1]:\n", - " step = symList[i][0]\n", - " convertedSymDict.append(step)\n", - "ConvertAtomnumToAtomsym(convertedSymDict)\n", - "\n", - "print(convertedSymDict)\n", - "\n", - "\n", - "def RedundantAtomCheck(redundantNumberDict):\n", - " count = 0\n", - " for i in range(len(numbers)):\n", - " if numbers[i] == numbers[i-1]:\n", - " count += 1\n", - " # print(f\"{numbers[i]} REDUNANT ATOM! APPENDING INTEGER!\")\n", - "\n", - " step = f\"{convertedSymDict[i]}{count}\"\n", - " # print(step)\n", - " redundantNumberDict.append(step)\n", - " elif numbers[i] != numbers[i-1]: \n", - " count = 1\n", - " step = f\"{convertedSymDict[i]}{count}\"\n", - " redundantNumberDict.append(step)\n", - " \n", - "RedundantAtomCheck(redundantNumberDict)\n", - "print(redundantNumberDict)" - ] - }, - { - "cell_type": "code", - "execution_count": 107, - "id": "c0625011", - "metadata": {}, - "outputs": [], - "source": [ - " \n", - "f = open(\"test.defattr\", \"w\")\n", - "f.write(\"attribute: myFactor\\n\")\n", - "#f.write(\"match mode: 1-to-1\\n\")\n", - "f.write(\"recipient: atoms\\n\")\n", - "count = 0\n", - "for i,p in enumerate(redundantNumberDict): \n", - " count += 1\n", - " f.write(f\"\\t@{redundantNumberDict[i]}\\t{espCharges[i]} \\n\")\n", - "f.close() \n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "905b7fdb", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python [conda env:.conda-chemml_env] *", - "language": "python", - "name": "conda-env-.conda-chemml_env-py" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.10" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index f4443288..8fa55e6f 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -22,7 +22,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": { "scrolled": true }, @@ -34,18 +34,18 @@ "\n", "\n", "User: woodn\n", - "Machine info: Linux woodn 5.13.8-arch1-1 #1 SMP PREEMPT Wed, 04 Aug 2021 16:57:44 +0000 x86_64\n", - "Time: 2021-08-13T12:58:56.319030\n", + "Machine info: Linux woodn 5.13.10-arch1-1 #1 SMP PREEMPT Thu, 12 Aug 2021 21:59:14 +0000 x86_64\n", + "Time: 2021-08-17T22:55:09.916226\n", "Python version: 2.7.18 |Anaconda, Inc.| (default, Jun 4 2021, 14:47:46) [GCC 7.3.0]\n", "HORTON version: 2.1.0\n", "Current Dir: /home/woodn/GSOC/projects/chemtools/examples/plotting\n", "Command line: /home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel_launcher.py\n", " -f\n", - " /home/woodn/.local/share/jupyter/runtime/kernel-baedc8d9-34ca-42eb-96e1-a8fc46e1b2cd\n", + " /home/woodn/.local/share/jupyter/runtime/kernel-eb9fe2a4-0233-4cd8-be0c-79316ce70da4\n", " .json\n", "HORTON module: /home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/horton/log.pyc\n", "\n", - "Initialized: \n", + "Initialized: \n", " Number of basis functions : 219\n", " Number of normalization constants : 453\n", " Maximum shell type : 2\n", @@ -123,7 +123,7 @@ " if self.run_code(code, result):\n", " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/IPython/core/interactiveshell.py\", line 2878, in run_code\n", " exec(code_obj, self.user_global_ns, self.user_ns)\n", - " File \"\", line 3, in \n", + " File \"\", line 3, in \n", " import matplotlib.pyplot as plt\n", " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/matplotlib/pyplot.py\", line 71, in \n", " from matplotlib.backends import pylab_setup\n", @@ -140,10 +140,11 @@ "\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits import mplot3d\n", - "from mpl_toolkits.mplot3d import Axes3D # Need this to plot in 3D\n", + "# mpl_toolkits.mplot3d import Axes3D\n", "\n", "from chemtools import Molecule\n", "\n", + "\n", "mol = Molecule.from_file(\"dichloropyridine26_q+0.fchk\")\n", "coord = mol.coordinates\n", "\n", @@ -175,7 +176,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -217,7 +218,7 @@ }, { "cell_type": "code", - "execution_count": 104, + "execution_count": 4, "metadata": { "scrolled": true }, @@ -255,7 +256,7 @@ }, { "cell_type": "code", - "execution_count": 105, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -288,7 +289,7 @@ }, { "cell_type": "code", - "execution_count": 106, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -319,7 +320,7 @@ }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -348,7 +349,7 @@ }, { "cell_type": "code", - "execution_count": 108, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -437,20 +438,11 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 9, "metadata": {}, - "outputs": [ - { - "ename": "SyntaxError", - "evalue": "invalid syntax (, line 52)", - "output_type": "error", - "traceback": [ - "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m52\u001b[0m\n\u001b[0;31m return rot\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" - ] - } - ], + "outputs": [], "source": [ - "def plotVectorFieldOverPlane(coord1,coord2,coord3,vectorFunc,step_size=0.32, title=''):\n", + "def plotVectorFieldOverPlane(coord1,coord2,coord3,step_size=0.32, title=''):\n", " \"\"\"\n", " PARAMETERS\n", " \n", @@ -500,7 +492,7 @@ " [u_1 * u_2 * (1 - cos_theta), cos_theta + u_2**2.0 * (1 - cos_theta), -u_1 * sin_theta],\n", " [-u_2 * sin_theta, u_1 * sin_theta, cos_theta]\n", " \n", - " \n", + " ])\n", " return rot\n", " _rotate_3d(normal)\n", " rot_coords = np.dot(rot, (coord - coord[0]).T).T\n", @@ -530,7 +522,7 @@ " rot_proj_gradients /= np.linalg.norm(rot_proj_gradients, axis=1).reshape((-1, 1))\n", " plt.figure(figsize=(10,10))\n", " plt.quiver(grid_2d[:, 0], grid_2d[:, 1],\n", - " rot_proj_gradients[:, 0], rot_proj_gradients[:, 1],color='black', scale=40)\n", + " rot_proj_gradients[:, 0], rot_proj_gradients[:, 1],color='black', scale=45)\n", " plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", " plt.legend()\n", " \n", @@ -543,7 +535,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 122, "metadata": {}, "outputs": [ { @@ -562,7 +554,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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QokULVKxYERUrVsSpU6cAAElJSejUqRPKlCmDgIAAbN26FQDg5eUl/3bLli3o2LGjWZpLlixBxYoVERgYiBYtWsjWpo4dO2LAgAH48ssvMXToUMVv5s+fj+DgYFStWhWAZIVr2bIlcuXKZbUe1o6PGTMG3bp1Q7169dChQwekpKSgbdu2CAgIQJs2bWQlFJC2sIuJicHDhw/h7++Prl27olSpUqhXr54sZ6k+p0+fRnh4OAYPHoyyZcsiMjISkZGRqF+/PsqXL48vvvgCt27dAgBs3rwZpUuXRmBgIKpXr57ZS5tpVKVKRUVFReXfw8iRgOk0VnKydPxP0rZtW2zYsAGpqamIiIhA5cqV5XOjR49GuXLlEBERgUmTJqFDhw5mv+/bty/69++PCxcuYOvWrejSpQsAYPz48ciaNSuuX7+OiIgI1KpVK9Nlat68OS5cuIBr167B398fy5Ytk8/duXMHBw8exIwZMxS/uXHjBsqXL28xPWv1sFW/S5cuYefOnVi3bh0WLFgADw8PREREYOTIkbh06ZLFfO7evYuePXvi999/h4+Pj6xIWqrPZ599hiZNmmD69Om4evUqihQpgm7dumHu3Lm4dOkSQkJC0KNHDwDAuHHjsG/fPly7dg3h4eGZbsfMosapUlFRUVH59xAV9W7H34GAgAA8fPgQ69evR8OGDRXnTp48KSsGtWrVQmxsLN68eaOQOXjwoGIKKyEhAYmJiTh48CA2bNggH8+WLVumy3Tjxg2MGjUK8fHxSEpKwldffSWfa9WqFRwdHd+pjtbqYat+TZo0gbu7OwDg+PHj6NOnDwCpvQICAizmU6hQIZQtWxYAUL58eTx8+NBufQwkJSXh9OnTaNWqlXwsLS0NAFCtWjV07NgRrVu3RvPmzd+p7plBVapUVFRUVP49FCggTflZOv4eaNKkCQYNGoSjR48iNjZWPk7STNZ0+b5Op8OZM2dkBcT4t5aW+hsfsxZbqWPHjtixYwcCAwOxcuVKHD16VD7n6elp8TelSpXCpUuX0LRpU7Nz1uphq36m+WQmbIGrq6v8v6Ojozz9Z6s+BnQ6HXx8fHD16lWzcwsXLsS5c+ewe/dulC1bFlevXoWvr6/d8mQWdfpPRUVFReXfw8SJgIeH8piHh3T8PdC5c2f8/PPPKFOmjOJ49erVEab32zp69Cj8/PyQJUsWhUy9evUwb948+btBKTA9HhcXBwDIlSsXbt68CZ1Oh+3bt1ssT2JiInLnzo2MjAw5f3v06tULq1atwrlz5+Rja9euxfPnz63WIzP1M22HGzduWPQts4W1+nh7e8uO9FmyZEGhQoWwefNmAJIieO3aNQBAZGQkKleujHHjxsHPzw+PHz9+p/ztoSpVKioqKir/Htq1AxYvBj7+GBBC+rt4sXT8PZAvXz707dvX7PiYMWNw8eJFBAQEYNiwYVi1apWZTGhoqCzzySefYOHChQCAUaNGIS4uTnawPnLkCABgypQpaNy4MWrVqoXcuXNbLM/48eNRuXJl1K1bFyVLlsxUHXLlyoUNGzZg0KBBKFGiBPz9/XHixAlkyZLFaj0yUz8A6N69O5KSkhAQEIBp06ahUqVKmSqTvfq0bdsW06dPR7ly5RAZGYmwsDAsW7YMgYGBKFWqFHbu3AkAGDx4MMqUKYPSpUujevXqCAwMfKf87SEsmez+aipUqEBDXAoVFRUVFZU/w82bN+Hv7/93F0PlfwRL95MQ4hLJCvZ+q1qqVFRUVFRUVFTeA6pSpaKioqKioqLyHlCVKhUVFRWVfzx/hyuLyv8ef/Y+UpUqFRUVFZV/NG5uboiNjVUVK5U/BUnExsbCzc3tD6ehxqlSUVFRUflHky9fPkRHR+PVq1d/d1FU/uG4ubkhX758fzwBkh/8U758ef7V/PLLL5w1axbv3r2rOP7kyRPF92vXrnHIkCE8c+YMtVqtfDwhIUHxXafTccCAAQwPD2dqaqoijbS0NMX3NWvWcNGiRXz9+rXiuE6nU3x/8OABR40axcjISLv1GTduHE+dOmWWhik7d+7kunXrmJ6eblMuJiaGEydOZHx8vN28582bx3v37tmVO378OA8dOmRX7u3bt1yyZImifa2xdetWJiYm2pW7ffs2f//9d7tyaWlpPHHihF05krx48aLd9ibJV69e8cWLF5nKOyoqyq5ceno6Hz9+bFdOp9MxOjra7rUmpXsts3KvXr2yK5eSksJjx45lqoybNm1iRkaGXdlDhw5l6hpGRkZyzZo1duXi4uI4YcIEpqSk2JRLS0vj8uXL7dZHq9Vy//79nDFjht28r169ygEDBpj1AabtEBUVxZCQEO7YsUNx/M2bN4rvcXFxXLNmDUeNGqU4npiYyISEBEVd9u/fz969e/PRo0fycZ1Ox4cPHyq+X716lZMmTeLatWsVad6/f1/x/fnz51y5ciX79++vOJ6cnKyoX3p6Og8fPswBAwbw5s2bCtmkpCTF9+joaIaGhnL58uWK46bPm1ar5aFDhzho0CC7z2JsbCynTZvG69ev25QjyZMnT2bqHkpKSuLMmTOp0Wjsyh44cID/+c9/7Mq9fv2a27dvtytHklu2bDF7v1ji+vXrmXp2UlNTGR4enqm8d+/ezbdv39qVi4yM5OXLl+3KZWRkZLre+/btM3sGLPH48WOePn06U2n+WQBcZCb0m/9Zpap///709vYmAJYsWZKDBg3isWPH+NNPP7FDhw6MjY0lSe7atYsff/wxATBPnjzs3r079+/fzytXrrBmzZp88OABSelBqFKlCgEwS5Ys7NChA3fv3s20tDQ2b96cV65ckfMeNGgQXV1d6eLiwmbNmnHr1q1MTU3l3LlzefDgQVlu3759zJkzJwGwVq1aXLt2LZOTk3nr1i2uW7dOlktMTGTZsmUJgIGBgVy0aJHcSW3cuFHR2QwaNIhCCObPn58hISHyjXnlyhWFEnPgwAF6e3sza9asHD16tNw5xsXFKV6+SUlJLF68OJ2dndmnTx/FC9e0o+nVqxcB8LvvvuPz58+tXps9e/bQ0dGRdevWNVNyjYmLi2POnDkZGBioeEFYolmzZvzoo494584dm3ILFy6ks7MzL1y4YFPu7t27BMDNmzfblNPpdCxUqBCHDRtmU44kf/zxR1auXNmu3LZt2wjArjLw5s0bAuDu3bvtplmyZEkOGTLErlyDBg1Yo0YNmzI6nY7BwcHMli2bTaVcq9WyX79+BKC4703JyMjgTz/9RCEEBw0aZFUuLS2NEydOpJubGwMCAhT3qU6nk7+/ffuWU6dOZbZs2ejj48Pz588rymQYaL1584bTp09nnjx56OjoyClTpshyGo2GGzduJCm9rGfMmMFixYoRAGvUqCHf+xqNhqNHj2ZMTAxfvHjBWbNmyc9qwYIF5ftMq9UyJCSEK1as4LNnzxgaGspq1arJ/cm0adPkeqxatYpt2rTh06dPuWDBAtarV49OTk50dHRkvXr1ZMXs4MGDLFSoECMjI7ly5Uq2bNlS7vNKlSolv2zu3r3LL7/8krNnz+aOHTvYtWtX5s2blwDo5+fHiRMnkpQU5REjRrBu3bo8d+4cR48ezQoVKhAAnZ2dWbt2bSYnJ5MkT506xeLFi/P69esMCwtj27Zt6ePjQwAsXry4fL0zMjI4btw4Tpo0iZGRkZw+fbrcj3p6enLw4MFym79+/Zo9e/YkSd64cYNDhw5lvnz5CIDlypVTDFyioqJ448YNkmRERAS7du1Kd3d3enl5KfpOUqnQXbhwgfXr1ycANmjQwKaiFh4ezgIFCtDb25tXr161Kpeens6hQ4dSCGG3H7h16xaLFSvGAgUK2FRYdDodhw4dSgB2laCLFy/S19eXLVu2tCmXkpLChg0b0tvb2+4gcOnSpRRCcNmyZTbl7t69y3z58rFWrVo25dLT09mqVSu6ubnJ71RrhIWF0cHBgbNmzbIp9/DhQxYuXJiVKlXK1OD3z/KvV6pIqRM+ePAg+/XrxyJFihAAHRwcCIAfffSRrDXrdDpevnyZP/30E0uXLk0Acufk7e3NpUuXyhft4cOHDAkJYaVKlQiAPj4+zJo1K52dnTl9+nRZcYmPj+eyZcv45ZdfUghBHx8fBgQEUAjBkSNHyh1jeno6t2/fzsaNG9PBwYE+Pj5s27YtAbB3797yKEWn0/H06dNs164dXVxcmCVLFvbp04cFCxZkcHCw4gV879499urVix4eHvT29uaAAQP4/fffs0WLFnKnSEovi9GjRzNr1qz09vbmyJEjuWfPHjZu3Fghl56eznnz5jFHjhzMkiULJ06cyLdv37Jjx44Kq51Op+PWrVuZN29e+vj48JdffqFGo+G2bdvMFLAzZ86wcOHC9PX15bZt20jS4oMeGRlJf39/5sqVi2fPnrV6rePj41mhQgXmy5fPbKRtjEaj4ZdffslChQoxLi7OqhxJtmnThsWKFbNr4RkyZAjz5ctndzS7evVqOjk52R39nTp1igAUlgVLPHz4kADsjtQeP35MANyzZ49NuWPHjhEAf/vtN5tys2fPphCCv/76q1WZjIwMBgcH08nJycwSQlK2PkZHR7N69ep0cXFhaGioWedouDeOHj1Kf39/urm5ccKECWb3Xd++fXnt2jUuXLiQuXPnpru7O4cNG6awpKSmprJNmzYcMWIEhw8fzqxZs9LDw4N9+/ZVtHVcXBwbNGjAwMBAdurUiW5ubvT09OQPP/ygeLk+f/6ctWvXJgAGBQXRycmJnp6e7NixI48cOSL3BU+ePGGdOnUIgEWKFKEQgh4eHmzbti137NghP7vPnz/n119/LSscQgi6u7vz66+/5qpVq+SB4Js3b9itWzcCIAAKIejs7Mw6depwzpw5suU7IyODISEhdHd3l2UBsHz58vzpp5949uxZ+Z49ceIES5QooZDLkycPu3Tpwm3btsnWsKSkJPbt25dCCAKgo6MjHR0dWbNmTYaEhPD27dty+9y+fZuVK1cmAGbPnl3uLzt06MAdO3Yo+pizZ8/y448/pq+vL8uVK0cAzJs3L4cMGWJmeTpz5gxz5crFIUOGsEaNGgTAYsWKcc6cOWbWjatXr/K7777jtWvX2LRpUwJghQoVuHfvXrN77erVq7x79y4fPXokX4c2bdpYHPgZ+o579+6xUqVKdHNz46JFiyy+3A3H9u3bx6xZs7JixYo2B5Pp6ekMDg6mo6MjV6xYYVWOlPqKLFmysHbt2mbWQGOSk5NZr149ZsmSxW5/sXjxYgLgiBEjbCord+7cYd68eVmuXDn53rREWloamzVrRnd3d5uDK5JcuXIlhRDs16+fzbzv3bvHAgUKsHTp0jYH8O+TD6pUAegP4HcANwCsB+BmS/5DKVXG6HQ6njp1iq6uroqOo02bNnz58qVC9u7du/KDbfg0bNjQ7EG4f/8+O3furJCrVauW2dRNVFQUJ0yYICt0APj555+byT158oSTJ0+WrVcAWLVqVTO5Fy9ecPLkySxQoIAsV7lyZT59+lQhFxsby0mTJjF37tyyXJUqVcyUl/j4eE6YMIHZs2eXy1i9enUzK0RCQgJ//vlnenh4ME+ePHRycmKTJk3MzNMJCQkcMGAAHR0dWalSJZYuXZp9+vQxe0gSEhIYHBxMAOzatSuHDBnClStXml27+Ph41qtXj25ubtywYQOPHz8uj1JN6xsQEMBChQrx8ePHTExMtGg6f/bsGXPmzMkWLVrYfHDv3r1LJycnLliwwKoMKZne7VljSGlqDQAPHz5sU+7evXsEwHPnztmUu3LlCgGYTbWYsnLlSjo7O9ucRtXpdPzss89Yo0YNm21y8OBBOjo6csKECRbPnzt3jsnJyWzSpAnd3Ny4a9cuM5mXL1+yRYsW3LVrF319fVm0aFFeunTJTG779u10dXWV75GvvvrKbBpap9PJFtIcOXLQycmJ3bt3N3sW4uLi5BewwUIzduxYxsTEKORu3rzJ4sWLy3L+/v6cN2+e2bNw9OhRfvTRR7JciRIluGrVKrM23rFjB319fWU5Ly8vrl+/3uwFuGXLFvr5+Sn6kqlTp5rJ/fbbb8yfP79CrnHjxmbKREREBCtWrKiQ8/X1NWu/N2/esEePHgo5AFwW9NB6AAAgAElEQVSwYIHZfXDkyBEWLlxYIVezZk2Lbg7z589XKHMuLi7ctm2b2fOo0+kYEhJCJycnWbZOnTo8cOCAxUFKWFiYog9v2LAh9+7da9GV4Ny5c/Tx8ZHLERAQwJ07d1q8vx8+fMjcuXOzbdu29PDwYJEiRawOLh49esSmTZty7dq19Pb2ZunSpS32R6Q0pX3hwgXOnj2bDg4O/OabbxTKpGn7vn37lo0aNaK7u7vFZ4eU+pHk5GQeOnSInp6ebNSokVWr9sOHD/n27VvWrl2bPj4+VvsUwztm0aJFBMBRo0ZZbKekpCTGxsby1q1bzJMnD8uXL292/Y3LmZqayiZNmtDT05NHjx61KGcYBCxevJhCCA4ZMsRq3k+fPpXzLlu2bKZcFd4XH0ypApAXwAMA7vrvmwB0tPWbv0OpIsn9+/dzypQp8mfq1KmcOnUqly9frvB1iIyMZP/+/dm7d292796dXbt2ZadOndi3b1+FApaamso+ffqwadOmrFevHqtXr86KFSuyRo0aZtNLs2fPZrly5VikSBHmyJGDrq6uzJ49u5lp9+TJk/zoo4/kkaDhZWHqq/T8+XMzxS9PnjyKqQ5SmnYYNWqUQq5QoUK8deuWWfucPHmSzs7Ospypyd3Ao0ePFIpas2bNLFpzrl69ylKlSsly06dPt3hdNmzYIE8duLm5KaZSDWRkZLBnz54EwNKlS7NSpUoWO90XL17Q39+fxYoV49SpU/nLL79YzPPAgQMUQnDu3Lm8evWqwi/FmJ49ezJXrlxMTEy0qWx8+umnDA4OtnqelF4gefPm5bhx42zKJSYmZsrsf+jQIQKwO1Jr3749q1evblMmPDzcptVr1apVvH//PrNnz86WLVtabIsLFy6wcOHCrFGjBrNmzWrRd02r1bJ+/fqy8t6uXTuLbX/q1Cm6ubnJiojpNLchre7du8v3l5OTE48fP26WVlRUlOI+BMDQ0FAzuV27djFLlixmSoNx+bRaLSdOnCiX38nJiX5+fixbtqzCSpORkcGJEyeyePHiLFu2LKtWrcratWuzcePGZv5Tu3fvZvv27dmpUyd27dqV3bt3Z+/evTlz5kxFnSMjIzlp0iSzz+TJkxWWguTkZK5Zs4ZLly7lokWLuGDBAs6fP59z58416x8OHz7M5cuXm8mGhYUp8o6KiuLkyZMt5v/s2TNF+8yePZtNmjRhy5Yt+e233zI4OJhdu3blpk2bFHnHxMSwcePGstKVI0cOFi1alEFBQWZKrFar5ciRIxXXxsXFxWyqz8CJEyfk2QYArF27tlW/vtjYWPr7+8uyQ4cOtar4pKWlsXLlynL/3KNHD6uyiYmJLFiwoDxtPHHiRKt9yOnTp5k3b15WqVKF2bJls2lNatWqFXv37k1XV1e2atXKqs/V6dOnWb9+fdasWZPZsmXjxYsXLcppNBp++umnnDJlCgFw9OjRVss5btw4Dh48mLlz52bFihWtWvsjIiJYo0YNNmrUiF5eXlb9WDUaDQMDAzlmzBibyhxJjh07lj/++CNz5crFihUrWlXm/io+tFL1GEB2SKsJdwGoZ+s3f5dS9f+NtLQ0xsbGWryJNBoNX716xZs3b/LkyZP89ddfzUYjCQkJvH37No8cOcKwsDBOmzaNw4YNU1jUMjIyeOPGDYaHh3POnDns27cvg4KC+MUXX5gpfvv27eOkSZPYrl07li1blq6urixevLiZP9OePXvYrFkz2S8DAFu0aGGmWJ06dUoxmgfAsLAws7pevnyZgYGBskzhwoUtPjCJiYkKa0NISIjFdn369Kk83ZsnTx6rnd7PP/9MFxcXli9f3qKFjJSUV09PT44fP172PbHErFmz6OnpyaSkJJtKTtu2bVm3bl2r5w14eHhwyZIlNmW2bNlCAFY7Va1WS51Ox9y5c3Ps2LEWZSIiIrhnzx6WLl2aTZo0sSgTFxdHDw8PFihQgGXKlLFo8dJqtbKvjKOjo9VRqaHjBqSpddOXNyn5nRimiwwvz7lz55rl17VrV1mmaNGibNOmDZctW6ZILyIigv7+/vz000/Zpk0bjhw5kitXruSpU6cUSvmdO3c4cuRIhoaGcsuWLTx9+jQfPHhg9szFxcUxIiKCUVFRdhVtFdvExMTw+fPndn0HdTodlyxZwi5dunDs2LFcvnw5Dxw4wFu3blmc8jpw4AA9PDzkvqRZs2YcO3asxQVBKSkp/PzzzxV9VNu2ba2WqU+fPrJctmzZuH79eqvlNrYANmvWzOr0XEZGhuyHZ+vZIaXFQMZWOmuKosHyDIDu7u4WLcEGli9fLqdpyyfsxYsX9PLykq1+tvwpGzRoQEDyxbO1MGjp0qVy3sb+daY8ffqUnp6e8qA6Mwus3jcfTKmS8kJfAEkAXgEIsyLTDcBFABcLFCjwAZpA5c+i0Wh4584dqyMcUvKJ2b59O4cPH27Rp0Cr1fLixYucMmUK69SpwyxZsphNk2k0Gh45coQ//vgjc+TIIU9pmJr0L126xNatW9PR0VG2apmu7iSlB9XY4jZz5kwzmaSkJE6aNEmWs+Zo+eTJE3bu3JnOzs50cHCwqlA8f/6cjo6OrF+/PkePHm0xLY1Gw3nz5tHLy4vz5s2zOGWQmprK5ORkFipUiOPGjbPawV64cIELFy6kp6cnU1NTLZZr48aNnDhxIgGYKREGli1bJk+n7Ny506LVKDQ0VG7LGjVqWPRtW7lypSzj6OjI7t27m62SPXHihHztSpUqxSlTppgp7M+ePWPhwoUZGBjIQYMGcd++fRZ90Pbv38+QkBAePnzYpm+cqvj8u0hKSuKyZct48uRJu6vHNBoNW7RowXz58rFTp05ct26dzQHRpk2b5Hu8evXqXLhwodXpp8OHD8uyXl5e7Nmzp8W+iiTnzp0ry7q5ubF///5mzw4p9TPly5eXZXPnzm3RMkv+d7GL4dOrVy+LCtjbt28Vg2N/f3+rPqmGmQIAdHV1tapQHjx4UJF3x44dLQ78EhMTFTMe/v7+VleZf//997Kcu7u7xcH5X82HtFRlA3AYQA4AzgB2APjO1m9US9W/l+TkZJ4/f97qiy4jI4MHDhxgly5drE7dRUVFcdiwYcyePTtr1Khh0Z/izJkzrFq1qjx9aknp+O2332QlTghhMdzBsWPH5FEvAIvL7uPj4xkQECBPCfXr189iudetW6fwg7PUeRnM4V5eXnR1dWW3bt0spjV27Fh6eHjQ2dmZhQsXtjgK3rhxo5xXsWLFLCpxxh3lp59+atE/xjA14u7uzrlz55q1d3x8PHPlykVnZ2d269bNYr1evXrFSpUqceDAgbxy5YrV63/jxo1MhadQUfmzGPxzMqN037lzhzVq1OD06dPthkUxTPuVKFGCc+fOtancPX/+XF4oNGzYMJtK3apVq+T+bMaMGVYt8Onp6fKUY82aNXnmzBmraU6ePJmA5G83a9Ysqxa627dv08nJiQ4ODuzUqZPV1dharVZ2S6latapNq5thyi9PnjxcuHCh1QVB165doxCCLi4u7N27t2K6+UPyIZWqVgCWGX3vAOAXW79RlSqVzGBvNd3bt2+5ePFiq/GFdDodN27cyEKFClmdunv69Clr1apFAJw8ebJFGWPFytqU44ULF2SrV6dOnSzKaLVaeTUUAKs+AWPHjpVlrE0BHjhwQJaxlt/OnTvtmtYNU3Zly5a1uILHsCKwSpUqCp8hY0aMGMGePXvafNnExMRkKtaPisr/R2ytrDNl9+7d3L9/f6aUtQEDBnDChAl2VyInJSUxICCAU6ZMsRu3b968eSxfvrzdMsTExDBv3rz8+eef7Vr1WrZsyWbNmtmNhbVmzRqWKVOG4eHhNvN++vQpP/74Y4aEhFhVDg00bNiQnTt3trsa+q/mQypVlSGt/PMAIACsAtDb1m9UpUrlQ5KamsqlS5daHQlpNBqOHz+epUuXttoRGBSrtm3bWs1nzpw5BMDmzZtblTl79qys6FhTMh4/fixbvSw57ZOSP51BxppSuX//fgJg/vz5LXbEGRkZdHd3Z5kyZaxOYwQHB3PSpEk2fTc+5AocFZX/FXQ6XaaCa5JSn5CZYJg6nY7Hjx/PlEJ35cqVTFmF37x5YzOcjTEnTpzI1ODp+vXrmapPXFyc1cHch+ZD+1SNBXALUkiFNQBcbcl/CKVq5cqVnDdvHq9du6a4yAcPHlSMCn7//XeOHTuWR48eVZg+Hz58aDYH/vPPP3P79u1mowrTF9/mzZu5ZMkSs5H7w4cPFTf7o0ePOHHiRF67dk1xPCEhwUwBmD59Og8ePGh23HTufe/evQwLCzN7iZo+ZK9fv+b06dPNlp5bYunSpZmKUnzmzBnu27fP7gOdmprK5cuXZyrC965du+yO4khpZZS90AKkZC2ytqz42LFjivAVt2/fVtTl2LFjDAwMNPtdYmIiX758SZ1Ox2bNmrF27doW0zcoIB06dKCXl5fVMup0OgYFBdHNzc1mG5UtW5YFCxa0Gpne4NS6fft2s3uPlJy4S5UqpVjR+ujRI9mvSqvVWm3Tt2/fZqqj1Wq13LRpU6Y6+f3792fqGkZERHDDhg125R4/fswpU6aY+XOYtldsbCyXLl3KkydPKo6bOsMmJSVxx44dnD9/vuL4kydPFJaMtLQ0Hj16lCNHjlTcu3Fxcbx27ZqiHFeuXOGsWbO4d+9e+Xh6eroiBphOp2NkZCRXrVrFSZMmKfI+cOCAYsro9evX3LVrF4cPH664l589e6ZwGM7IyOCFCxc4a9Ysbt26VZGXqZ/O8+fPuXHjRrPFDgkJCYqQFFqtlhcuXOD48ePNfGNMlfLExERu2LBBkbc17t69yxkzZti9hzQaDTds2GAzTp2BqKgo7tu3z66cTqfj9u3bM3X/Xr9+ndHR0XblUlNTeerUKbtypLQiOzM7Tzx69MhugGRSukaZjUB+9uzZTPXRz549s+ovZoxOpzN7xqxx/vx5uwsYSOnZtRbO4n3zQZWqd/18CKWqZ8+e8kqFrFmzskGDBpw4cSJ/+OEH+vn5ccGCBdRoNAwPD5cd9VxdXVm9enX+9NNP3LRpE11cXDhixAgmJSUxISFBXqHm4ODAChUqcOjQody/fz8/++wzBgcHy1p///79Zedff39/9uvXj3v37uX06dNZt25ducPZv3+/7NOTP39+/vjjj9y1axcjIyMZGBgor9hITU2Vg5Jmz56dwcHBcvC8tm3bKhy/Bw8eTAcHB7q7u7Nly5bcsmULk5OTuXz5ckV08CNHjjBLlix0cHBgw4YNuWnTJqakpPDJkyeKYKdpaWlyUMDq1atzw4YN8kvK1Lw8cOBAAlIoho0bN8rKrOkc+OHDh+nk5MRixYpx8+bNchqmHVdycjLz5s3L3Llz293eIDg4mN7e3nbDEKxbt46Ojo525R4/fkxnZ2ezVYHHjx83M1dXq1aN3377LUnppdaqVSuLaQ4fPpyBgYF88uQJS5YsaTXvNWvW0MHBgVWqVLFZxtatW1MIYdUkf/78eTZu3JgxMTHMkiULFy9erDh/7tw5xQs5LS2N5cuXZ4sWLWzmGxsby88++4z58uWz2fHdu3ePX3zxBR0dHc2W8htf6wsXLshBNE3DTRg6a51Ox3379rFevXoEwIoVKyrSWL58OZOTk5mWlsbNmzezQYMGdHBwYLZs2WRFRqfTMTQ0lNu2bWNcXBxXrlzJBg0a0MnJiS4uLvLUrkaj4cyZM9m5c2c+fvyYCxYsYMOGDeVnumbNmtTpdNRoNAwNDWXu3Ll548YNzpkzh40aNZJXKX388ce8fPkytVotV6xYwZw5czIkJISzZs1i06ZNmS1bNrl/mjp1KklpUFSyZEnWrVuXc+fOZevWrZknTx55JVXNmjWp1Wp5584dBgUF0cXFhcuXL2fXrl35ySefKFZDnj59mqmpqZw6dSq9vb05ZMgQjh49mrVr15bL6OPjwzFjxpCUVl3WrVuX1atX58aNG9m9e3fZn87Q5xkGceHh4cyfPz+vXbvGVatW8dtvv5XjbOXMmVNWEg0r96ZNm8a4uDiuXr2aTZs2paurKx0cHBQ+g4Zo8qS0Ki8sLIxffvml7JRt2o8YLB0ZGRlctWoVS5QoQSEEFy5caPWeTEtL45QpU+jh4cFPP/3UprL04sULNmzYkA4ODnYHEL/++iu9vLz4ww8/2JRLTExk3bp16evrazWMiwFDIEx7A4ioqCgWLlyYjRs3timn1Wr5/fff093d3a5f0q+//kpnZ2ebbUlKfbu/vz+rV69usy0N4U+cnZ3tRlTfu3cv3dzcrIbgMfDy5UsGBATYvY7vi3+9UkVKD9ulS5c4Z84ctmrVymx5f5kyZXjo0CHqdDreu3ePy5YtY/v27RXOxACYL18+OU7Oy5cvuXHjRnbr1k1etm/4+Pj4yMra27dvuXfvXvbr108RA8WwwmPKlClMT0+nRqPhmTNnOGrUKHlZrSFYnaOjI4cPHy6/uG7fvs0pU6bIfjkeHh5yx9yrVy95tPzixQv+8ssvrF69OoUQ9PLyktPu3LmzbMV6+/Ytw8LCWK9ePTnquyGYaXBwsJyeVqvl3r17GRQURCEEc+XKxVGjRjEgIIDdunVTWALOnTvH5s2bUwjBIkWKcNGiRfz555/NovPeu3ePbdq0ISAFLj127BgvXLhgpsS8evWK3333HQGwZcuWcmcQERGhkEtJSWHHjh0JgGPHjpVHd6YPm06nk6Nk23KiJKVtd7Jly2a3AzI4hBtCVFjbt2/fvn0EwHv37nHnzp1W0wsLC7Ppv2WgdevWzJ49u9WR7L1793j//n2OGDGC2bJls2vxGz58ON3c3GzuX/b48WN+8sknzJs3r9kIMS0tjc+ePaNWq+W8efPo4eHBUqVKma0evXDhAhcvXsw7d+6wdevWBMBKlSrxyJEjCrnQ0FB+9dVXXLFiBcuUKSMrNOHh4XKdU1JS2KVLFzo5ObF///708/OjEIJ169blhg0b5Gfn2bNn8jLvcuXK0cXFhU5OTmzYsCFXrVolt83NmzflBQ6GQZm7uzuDgoK4ePFiOVzJpUuX5C1cDB9vb282bdqU8+bN4507d6jT6Xjp0iU5PcMna9asbNKkCWfOnMnLly9To9Hw9u3bbNSokVl6X331FSdMmMCjR48yOTmZcXFxHDBggGJ1q7OzM6tUqcKBAwdy27ZtfP78uWxhMe2jChQowG+//ZYLFizg9evXqdVqmZCQwCFDhijSdHBwYPny5Tlw4ED++uuvcvs8ffqULVu2VKTp5OTEGjVqcPLkybISSUoWrqCgIALSlj3Ozs50cnJivXr1uGjRIsXU09u3b9muXTvmzJmTffv2lQMRN27cmDt37lRYunQ6HQcNGsTVq1dz8eLFLFy4MB0cHNiuXTuLAwxDVP79+/ezRIkSdHV15ejRoy368hj6vH379jFXrlzMnz+/1RV2hrKEhIRQCMEOHTpYXLVnIDY2lpUrV6avr6/ZIMOUZcuWyds22VIYoqOjWaRIEfr7+9t0ctdqtezWrRudnJxs9j2k5BPm4uLCjh072rSSGRSqIkWK2PSnNM7b3rZf4eHhdHFx4XfffWdzv9CnT5/yk08+YcGCBTNlmXwfqEqVBZ4/f85cuXKZdVx9+/ZVTJfpdDq2atVKIQeAX375pdkLZ+3atWZylSpVMnuRmMbeAaRYH6YjoKioKNatW1chV7JkSTOTbXR0NIcMGaKQM4xOTeVmzpwpB1KEfiWYaYyqx48fc/LkyfJeW4C07N20vg8ePOCwYcMU0Z8///xzs7n5mzdvyqEIDIHyOnbsaGZOPn/+vDwaLVOmDIUQFmNG7dmzhwUKFGC2bNk4b948fvTRR2YPsk6n49y5c+no6Mivv/6ab968kfdUMyYjI4PNmjWjt7e3bA20ZOZOSEhggQIF7FpudDodK1euLFswrJGWlkYfHx+7I7ANGzYQgM0OmiSrVq3KDh062JR5+fIlPT09bcbYIqWpTSGE2dQWKVkE7t69y5s3bzJ//vwsWbKk2VSDTqdjly5dOHnyZH755Zd0cHDg8OHDzepw4cIF+vj4sGjRonRycmLx4sW5ZcsWRbtpNBp5z0DD4OLbb781e6bu37/PTz/9VJbLmzcvx4wZY+bQ+uuvv8oWYUBa6bRs2TKFY35GRganTp1qtuPC0qVLFS/fhIQE9uvXT7E7AiAFgTS+h2JiYvjjjz8qgvgaLNfG6Wk0Gs6ePdusb3B0dDTrG06dOsUKFSowa9asCtmBAwcq5GJiYtixY0dZKTR+7o2tIzqdjuvWrZMtYcYf0y2NtFotFy5caJZ3o0aNLFpctm/frmhzFxcXLlmyxOJiiHv37jEgIECh+I0bN87i4CQjI4OdOnUiIM0sODk5sXPnzlannxYsWMAcOXLIimBQUJDVDezXrl3L+fPnyxb3li1bWl1MsnbtWqalpbFz584UQnDq1KkWn/309HTevn2b0dHRLFWqFPPly2d10GLoQw1RzYcPH24xTUPYlSdPnrBYsWIsWbKk1YHfmzdvqNPp2KNHDzo6OlqdbjVMde/du5eurq5s3769Rd+o9PR0JiQkKBQqa4PIly9fytYxJycnWbk1xVD2rVu30snJiZ06dbKYd2pqKmNiYhgdHc3ixYuzaNGimZryfF+oSpUFoqKieOXKFT548ICvX7+26lCXmJjIffv28fTp04yIiOCDBw/46tUriy+53bt3c8uWLdy9ezcPHz7MM2fO8OrVq7x3757igTh37hxnz57NX375hUuWLOHKlSu5bt06bt26VdHJvnr1isOGDePQoUM5bNgwDhs2jMOHD+dPP/2kMJtqtVr+/PPPbNOmDVu0aMGmTZuyUaNGbNiwIQ8cOKAo47p161ihQgWWKlWKhQoVYq5cuejr68uQkBBFG9y4ccNsCwxPT0+zmCCJiYnyqN/wyZ8/v8WdymfPnq2Qa9CggUV/r/Xr18svICEEV69ebZZWQkICe/fuLcsFBARY7NCPHj3KHDlyyNuNWNpwOCUlhbVq1aKfnx/Pnz/PAQMGmMmQUtgFANyyZQvT09OtKjoG/yVb++GR5HfffceqVavalNm8eTMB2BypxcbG0sHBwe7UwMCBA+nn52d1xVBUVBTj4uJYoEABNmrUyGInPmDAALZt25a+vr6sXLmyRcd041hWJUuWtDhdYlCoDHL9+vUzq2NSUpK8R5vh880335jJ7dmzR7bSGj758uVTvFxTU1M5YsQI5s6dm4UKFeInn3zCTz/9lNWqVVM8Iwblol+/fmYf0w1lb926xd9++407d+7k5s2buXbtWi5btoxLlixRWGy1Wi0TExNlf5MrV67wxIkT3Lt3r9WXkEaj4evXr/ngwQNevXrVpsXQIHv//n3Z2mWJjIwMxsbGMjIykpcvX1a8fHU6nfyievjwIW/cuMGzZ8/y4MGDZr4vkZGRXLduHVetWsWlS5dywYIFDA0N5cyZMxWKh1ar5Zw5c1ihQgV+9tlnrFmzJuvVq8fGjRtb3ANy9+7dinsCkII7WlISkpOTze4NWz5ZmzdvlvuKXLly2Xw2f//9dzlEiYeHh8IFwpTLly/TycmJVapUoaenp1mEfGNmzpzJ1q1bs2DBghYDKRtIS0tjpUqV5MUuP/30k9X858yZw7lz57J48eIsXry4Vb/Yp0+f8ttvv2Xfvn3p4OAgbxBuiaCgIG7atImurq5s166d1fvpl19+4dSpU+0qVPfv32dQUBA7duxIZ2dnq9YxnU7HatWqccGCBXR0dOQPP/xg1To2Y8YMDh8+nIULF2bJkiVt7p/4V6AqVSqZwtKDm5GRwZiYGN69e5fnz5/nvn37FCs10tPT+ejRI545c4Zbt27l3LlzOXz4cHbv3l2h+KWnp3PTpk2cMGECO3TowKpVq9LX15cVKlRQWLa0Wi3Hjx/PsmXLysEhhRBcs2aNolxarZbDhw9XWAmsRRU2WHsAafNs0z3eSElJq1ixIl1cXOjs7GzVhB0cHCxPedrabLhp06b09/fn0aNHzSyBBgxB+Z4+fWrVCdQgY02BMyihDg4OVkfSu3bt4r179+jm5mZ1GlGj0bBMmTJs3rw5c+TIYXH64Pr16/I1KVu2rEXl7MCBA7IMANavX98sLVOFqkSJEuzSpYvCGfzZs2esU6cOy5Urx+bNm3PQoEH85ZdfuHfvXoVcbGwsV6xYwZ07d/LkyZO8deuWGrLhH8iTJ084c+ZMrl69mnv37uXFixcZFRVl0U8vPj5e3k2hQIECrF+/PgcMGMDVq1dbfAkfOnSILi4u8v3m4eHBLVu2WCxHQkICS5YsKcvWrVvXqt9PWlqaYvcHS4qigefPn8vbHhUqVMjmSjvjQYm14MGGshosgEWLFrXpGG+I6O7g4GAzWKZhuytAiiZvbTCXmJgoz/TYUqhI8ptvviEgTU1b28OQVMbS69Gjh1VFMiYmRu4/SpYs+cE2UTZGVapU/t8SExNj9YF8+/YtT506xdmzZ7N9+/Zm05np6ek8fvw4hw0bJvvZ9O7dWyGTkpLCWbNmyQ72ANiqVSuzB/bs2bMKf7devXqZlScpKYm7du2SN3w1zcu4XCdPniQg+eDMmTPHav3c3d3ZvXt3i1tCxMbGyvGl3rx5Y1EZ7NGjB5s3b87PP//cYh6kZBHz9fVlzpw5GRcXZ7GzOnr0qFz3Dh06mO0HqdPpFNsCZc+e3WzBwJ07d5gtWzY6ODjwiy++4IwZM8xWfj158oQ//PADp02bxiNHjlhdSp2ZlUYq/06uXLnCCxcu2I3RREr+bn5+fqxRowbHjBnDY8eO2RygtG3bVlYAmjRpwnXr1lmNS2UcQ87Hx4eDBg2yWiaDjycg+dEuXbrUolx8fLzCnaJChQpWp/OM8/f09LS692FkZKRik+p27dpZVFZ1Oh0rVaqkmCK2tgJ33Lhxspyrq6QMHuMAACAASURBVKvF2QRSGkAZWxPbt29vMaJ6amoqCxUqJMsVL17cakR1Y3cAW3s+/pWoSpXKv4KoqCguXrzYooOqTqfjkSNH2LZtWzo7O1scrR07dkz253B1dTUzKWdkZLBXr17yA124cGGLCsrr168VjsuG1YDGJCcns379+rKvi6UNmBcvXiw7F3/88ccWfUUMymKePHnYs2dPi+UxKJyA9Q2vjfcmq1mzptlI2uAwnzt3bs6YMcPs5WGYXluxYoUiLIOKyt/J9evX7QaUNLBgwQLWqVOHS5cutbtBb0REBJ2dnVmqVCkuXLjQZkDQM2fOyIrP4MGDbVpWhg8fTkDaS3DatGlWY1e9evVK3iS6WrVqNsMyGBb3ZM+enbNmzbKqVBqs4g4ODuzSpYvVKbWXL1/K/VbNmjWthqXR6XSsWbOmbM1av369zek8AMySJQvHjRtndTXk3bt35UUUbdq0MRv8fShUpUpFxYgXL15w0aJFFjuXjIwMzp8/n9myZbO6xUxoaKg87WhtJBcXFyevzCxSpIhFGYNDuDXF69mzZ/L5okWLWkzDsHTe29vb4pRlamqqPEpt0KCBxTprNBrmzJmTgBRt3dTk/+bNG1arVo0LFy7MVLwYFZV/IvYUKQMGFwXDanF7srVr1+bIkSPtBsaNioqin58fR40aZXeT4AEDBrBEiRJ242ZFRETQ3d2dgwcPtrniNyMjg/7+/gwKCrIbKb1Pnz4MDAzk3r17bea9e/du5s6dmwsWLLBpeY6NjWWePHk4ZMgQi9Z4Y5o3b86goCBevXrVptxfjapUqai8IzExMRwwYIBVq8vu3bvp7e1tM9TBmzdv5N3hrXWoAwYMIAC2bt3a4nnD7/v06WPxvCFmmbW9Ea9cuUJA2iTa2oj98OHD9PLysupnEhsba9NRXkVFxTJxcXGZVtZOnjyZKf+gpKQkrly5MlPP5MaNGzO1pcuVK1fshpUhJZeFTZs2ZSoI6a5duzIVJf7SpUuZcjSPi4uzuXfhh+Rfr1Rt2rSJixcv5unTpxU+HPPnz+e2bdvkG+TWrVucPn069+3bx2fPnslaeEREBKdNm6Yw8U6dOpVbtmzh3bt3FXGQxo4dq/ARCg8P57Jly3jlyhXFXPK2bdvkJfykFAV3xowZPH78uCKfR48ecceOHYoRwdy5c7lr1y6zF/W2bdsUI4JDhw5x7dq1Zg/V5cuXFe0QExPDOXPmMCIiQvGwxMfHm83nr1q1iidPnjR7oE1HQefOnWN4eLiZZcP0YUxNTeWyZcvsjsxISZHJTNT3yMjITEXW1el0Vk3XxjKkdA+Y1jkiIoIdO3ZUHEtISFB0EAkJCfziiy8srjqMj49nSkoKP/nkE6vb2UybNo0AFFG2jQkMDOQXX3xBjUZj0T9pxYoVrFatmmK67s6dOwqZ0NBQixa3mzdvZiqCfUxMTKaiQickJHD16tUW44UZk5yczK1bt5qteDN9OaWmpvLgwYPctGmT4vjVq1cVz1p6ejrPnj3LadOmKY5fv35dcf0zMjJ45coVLlq0SNF53759m3PnzpW/azQa/v777wwLC1MEUY2Ojmbv3r3lUAEajYZ3797l9u3bOX78ePl4QkICp0yZwvXr18v1f/z4Mffv38/Zs2fLqxF1Oh3Dw8MVCnV8fDzPnDnD5cuXc/bs2fLxZ8+eccCAAbK1UqvVMjIykjt37uTEiRMVTsxnzpxRBLxNTU3lpUuXuGTJEsV9ZpgyNyYhIYH79+/nvHnzFMe1Wq3ZC/Tp06dcunSpTSdmQz7nz5/n4cOHbcqR/703MsPFixcztW1ScnKy1S2gTMmshSQ6OjpTz45Wq8301iuGeGf2ePXqlV2LDym1e2bzvn37dqYUqbi4uEz10SRtrmg15tatW5lSIJOSkj7YnoD/eqWqa9eu8ia4Bv+URo0ayTGgAgMDuW3bNm7fvl0Ru8rPz4+1atViz549CUjRgWfMmMHY2FgWL15cnprx8vJitWrV2LNnT5YqVYqurq7s378/X7x4wb59+8rxblxcXFihQgV269aNwcHBstP0rVu3eODAAfr6+spz2qVLl2anTp0YGhpKR0dHed5co9EoVqcULVqU7du35/z581mjRg0WL15cVsKGDh0qT/3kz5+f33zzDefPn8/JkyczV65cXLZsGbVaLU+cOCGvTMmRIwdbt27NhQsX8saNG8yZMyfnzJnDjIwMarVaOW8fHx+2atWKy5cv55MnT9iuXTuGhITIN/+IESPktmndujU3bNjAhIQEbtiwgaGhofIDeubMGbq4uNDNzY3ffPMNf/vtN1lBMF7xp9FoWLhwYTo7O7NDhw6KTtB02suwbPiHH36wOfIzhEgYPny4zdViycnJzJUrF+vVq2em/MXGxio6uu+++44lS5ZUWLiSkpLMXhjz5s1jgQIFmJaWxosXL1pVqgxhKKxZmT777DPeunWLe/bsYdasWc3qGxYWpijzli1b6OjoqHhZWuos161bR09PT4sO9AZSU1MZEhJCHx8flilTRtEOxoEfb9y4wR49etDLy4uurq5yR67T6bh48WIeOnSIKSkp3L59O7/55ht6eXlRCCErDSkpKRwxYgT79OnD+/fvc/78+QwKCpIjgdesWZOkpNz16NGD+fPn57Fjxzh+/HjWqVNHfvb9/Px469YtRkdHs3PnznRwcOD48eM5cOBAfv7553Kg3f9j773Dokq29eHV3TQ5CRKMmMWECogiKGDOiAqm0TGho2JGUVSUmVEHZsyKiBExoDMGEBMqZhADgqIyICKoKDnn7v3+/uD2/th2PPc7M+fcc3ifpx4UVlftvbt21aoV3qWtrY2dO3fiw4cPmDNnDgQCAZydnbFgwQLY2dlxCHldXFzw8eNHLF68GOrq6jAwMMCsWbNga2vLyknWnAcPHsDf35+lfxg5ciT69u3LxsZIYmm2bNmCc+fOsZllXbt2xeDBgzkcUurq6ujXrx++fPmCFStWQEtLC5qampgzZw7s7OzYZyN59x89eoSXL19i3LhxIKon/p07dy569+7NxqhoaWnBx8cHQL3lYuDAgXBycsK5c+ewdOlSWFtbs27v9u3bswpqWloanJ2dkZ6ejsePH2Pjxo0sZ5iGhgYnoSEvL4/9f3Z2NgIDA1kXtpubG2d+NVTSSktLERAQAFNTU2hoaCgkmCwqKoKXlxf4fL5STra3b9+ie/fuaN++vcKNm2EY/PrrryAipcrfhw8f0K5dO6W8cQzDYPHixTA0NFSqgN27dw+ampoKM/eAeqXb2toao0ePVigHABs2bFCJUf3hw4fQ0dFRyqheVFQEOzs7ODk5KZRjGAYbN25UiVH90aNH0NfXV0p+LAlRsLGxaWRU/7vcf2KxGO/evcOlS5fw008/YfLkyWwciaRZWVnh/PnzyM7Oxs2bN7F9+3Z8//33Uizo5ubm2L17N/Ly8hAbG4ugoCDMnz8fdnZ2nBR/bW1trFu3Dl+/fkVSUhKOHTuGJUuWoH///pwFVyAQYO7cucjMzER6ejrCw8OxatUqDBw4kLM4EhHGjx+PN2/eIDc3F5GRkfD19cWgQYOkyP2cnJzw9OlTdkP39/fH0KFDpfqzsbFhLU/x8fHYtm0bhg0bxrk+ieL58OFDMAyD169fY/v27RgyZAibqizp18bGhuWoyszMxO7du+Hk5AQ+nw8NDQ12oxg8eDC7MBYUFCAoKIiNQWrWrBm8vb3B4/Hg6enJKhSVlZU4dOgQuwi7uLggMjISw4cP5yw2IpEIR44cQbNmzaCrq4stW7agsrISZ8+e5RAOMgyD4OBgqKurY8iQIQoDrOPj42FmZoZu3bopXAg+fvwICwsL9O7dW6H1LSMjAwKBgOU+kmfWPnHiBHg8ntx+oqOjAQCOjo4YNmyY1N8bLjDXr1+HUCjEDz/8INdaVFVVhYULF4KIsHjxYk4MllgsxqFDh8AwDH7//Xe0a9cOGhoaWLt2LcdKFh4eDmNjY5w7d44NVG3bti0CAwNZy0FeXh7Gjx/Pfo8SxcLR0RG7d+9mLSsxMTHo2LEj+z5Jfo4ZMwb79+/Hu3fvIBKJEBQUJEWa2bx5c0ydOhUHDhzA69evUVxcjPXr13PmNo/HQ/fu3TF37lwcPHgQiYmJyMrKgpeXF4dVXF1dHfb29li0aBFCQkLw9OlTpKamYtGiRZx0faL6Ek5Lly5FSEgI4uLikJ6eDl9fX/bgImldu3aFl5cX9u/fjzt37uDTp08IDQ3lHJokwbszZ87Etm3bEBERgdTUVGRlZWHZsmUcIl8iQv/+/bFkyRIcPHgQjx49QnFxMd69e4fp06dzyEd1dHQwcOBALF++HCdOnEBycjLq6uqQk5MDT09PjiyPx0OvXr3g5eWF8PBw1vJUV1eHX3/9lb0GSdZaixYtMH/+fERERHCs7o8ePULLli1ZDj0+nw99fX3Mnz8fsbGxnDlZUFAAJycnFBQUYNOmTWjSpAl0dHSwatUqKUtIXV0dnjx5AoZhcPLkSZZ7T3JobIiG/w8NDYW2tjZsbW3lkoAC9euJ5GAdGBiocNN+9+4dWrdujR49eiikTWAYBitXrlTKGQXUkyLr6enBzc1NoeJXXl4OBwcHmJmZSVmjv8WWLVtARHKzECWIi4uDnp4exo4dKzNrT4KioiL06dMH5ubmCoPHGYbB2rVrQUQ4ePCgwrHv3r0LHR0djB49WmEsZ2FhIezs7GBmZqZSXdp/BhqVKhmQ1FyztraGm5sbli9fjh07duD8+fOczZVhGEybNg2tWrWCg4MDpkyZgjVr1mDv3r1S5QUuX74MLS0ttG/fHgMHDsTUqVOxevVqKf93UVER2rdvDy0tLbRr1w4ODg6YNGkSVq9eLXVqkMTcCIVCtGjRgj2FfFsu4fHjxxx+IF1dXbRt2xa7du3iWGEqKiqkFm0iwnfffce57+rqanZzbdhmzZrFWSzKyspw6NAhjoxAIMCaNWs4J82cnBwcOnSIky5sYGAg5Q56+/Yt1q1bh2bNmnEUuoZmaoZhcP36dbb2m6T5+/tz+iorK8OmTZugra2NVq1awc7ODra2tlLKTnx8PFq1aoVWrVohPj5ebgbbhw8f0L17d5iamuLx48fs5vYt0tLSYG5uDgcHB5SXl0MsFstciL///nt06NBBoZVMUvtPESRko7JiIiR9P3jwAFpaWpg2bZrURlNTUwM/Pz+kp6fD2toaurq6UkSiEibm5s2bw8HBAUT1RJzfktCuX7+esxmPGjUKV65c4dzj9evXOWWizM3NsXPnTo6bqKCggC2TJGlqamo4f/48R9GTFLb+dp7++uuvUqWQJk6cCEtLSxgbG7NKw6BBg6Tej507d2LRokVwdXWFra0tq5w3LIfEMAwePXqEY8eOYfPmzZg9ezYGDRqE9u3b46effuI8u/z8fMTGxuLkyZP46aefMHv2bDg5OWHYsGEcC2R1dTVev36Ny5cvY/fu3Vi2bBnGjh2LHj16SLmpnz59irCwMPz888/w9PTEsGHD0KlTJ6xevZoj9+nTJ6xevRoeHh5wdHRk150uXbpwXMJisRgHDx6UYknn8XgyLTMvX75Enz59OLLOzs5ITEyUqbBv376dk9Y/bNgwnD59WqYFVlL+SLKOGRgYYOPGjTJdWgzDYM6cOZg4cSKrwHt6esp1f/n6+uLLly8sxcGyZcvkZsPFx8ejvLycrasoj1y3sLAQDMMgJSUFzZs3R+/eveWOX1NTA4Zh4OvrK5N/TwLJnHz58iWaNGmCYcOGyb3Ouro6VFdXY+jQoTAyMpKrWEhCQ3bs2AEiwp49e2TKSRSYJ0+eQF9fX2GCi6RcUp8+fdCsWTO5ClVxcTEYhsGqVavA4/Fw9OhRmXKSQ290dDS0tLQwYcIEmcpcbW0tSkpKkJubi169eqFFixZ/ayZgo1IlA6qaCBmGUTlIt7y8XKV+y8rK2EmmCBJ/uzxuoYZ48+YNXr16hezsbIUlTT5+/IirV68iNjYWr1+/xqdPn2Red01NDUJCQnD8+HGcO3cOUVFRuHPnDuLj46X81seOHcOqVavg4+OD9evXY9OmTfjxxx9x7tw5Tr8xMTEYMGAA+vXrB1tbW/Ts2RNdu3bF2rVrOSeR9PR0KTZ3PT09qROdWCxmeWUkbcaMGVL3/+nTJ9btQUSwt7eXStnNy8vDkCFDIBQK0bZtW4wbN07mMy8pKcGIESOgqanJMtfLknv16hWMjIwwbNgwXLlyRWbR5pSUFPB4PIU8KydPnlSqVI0cORL9+/eXeR0rVqzAs2fPoK+vj3HjxsnMwvHx8YGenh4MDAzQvXt3mRxVknIdRPUcMt+ypJeWlnKesUQZbqicVlZWYtmyZdDS0oKhoSHMzc3Rpk0bdOvWjcNBJhKJEBoaiq1bt8Lf3x8bN27EunXrsHr1aql4msrKSuTk5ODdu3dISEjAvXv3cPnyZak4xG8hscokJycrLWYrkVeFF0nyvP5VUGVshmFQXFwskwZAQvabnp6O58+f4/bt21JW1A8fPmDlypVYvHgxFi5ciAULFmD+/Pn44YcfpA4jRUVFrEWyYduwYYPMa01JSeHUW7WwsFBoQd6wYQNnvikKZJa4+83MzGBoaKiwMPulS5dgbW0NW1tbGBkZ4cGDB3JlFy9ejOPHj8PMzAx2dnZyA9Nzc3OxYsUKluNJkZVo9erVSEpKgpmZGRwdHeVSNty5cwenT5/G+PHjoaenJ5douKKiAl5eXjhw4ACIiC3aLQuzZ8/GvXv3YGhoiKFDh8q1Eh0/fhzBwcHswUOeUpOVlYVp06Zh6dKl4PP5chVJhmEwePBgnDlzBhoaGjKrJ0iwd+9eBAQEoGvXrrCwsFBoafwr0KhUNeL/HOrq6pCXl4e0tDQ8ffoU0dHROHfuHCfwND8/H+Hh4di2bRsWLFjAntaHDRvGcfNlZ2fD0dGR49JwcnKSCqwtLCzkWPHkmafr6uowfPhwVk6eUvTkyRPo6upCW1tbbvV0Dw8PdO/eHSUlJTKDxU+dOiVXqUpISEBCQgKISCZTseRv2traGDRokMzFMTo6mqO4ygrEbbhxEZFUYdmSkhIsXrwYU6dOxapVq7Bjxw6Eh4fjwYMHnA1RLBarFOzaiP8cSBIJbt68iefPn+P9+/coKiqSOQ+ePHnCWrItLCwwYsQILF++XIr0V4L9+/dLuVPlueazs7M59Qe3b98udy6WlpaydU/19PQUUgy8ffuW9RA4ODjIJbMF6r0OEmudrLqaEmRkZEBNTQ1aWlqwsbGRG0bAMAwGDhwITU1NaGlpKSz2HBgYyI69efNmuXKSNUMgECjMGK6qqmIPvs2aNVMY8D5z5ky2T0lyhiz88ccfHI+IPAt+UVERG3/8d9f8k6BRqWrEfxXEYrFMBaKoqAg3btzA5s2bMXz4cHh4eHDk7ty5g3HjxrGLpJaWlkxFJzY2lqN8NW3aVGaW0bFjxzjBxbJqXiUlJYGovsbZt+b4iooKnDp1CjweDwzDSJ1W+/Xrh+7du8PKykqmwtbQQuDs7CxFHpqTk8O64fh8PkaNGoXz589z+goMDISdnR2WLVuG8PBwZGZm/kstMY34z4RIJEJkZCQSEhIUEmlKcP78eQgEAlhZWWHFihWIioqSa3EUiURsoXZJ3NmBAwfkWh6XLl3Kyqqrq0uFFTTE2LFjOW5seVmwnz59YhOW1NTUsGjRIrkehXnz5rF92trays1MbFhSpmnTpti3b5/M6ywtLWWVEB6Ph++//17uvTes49qzZ0+5WdSSoH2i+qQleYzqCQkJnDqunp6eMt15NTU1LNExUX18szwF2dvbm5XT0dFRWvP0r0CjUtWIRsiAWCyWubBlZ2dj27Zt6NChA6ytrWUuAmKxGNeuXWMtVtOnT5eSqa2txc6dO9k4ld69e3MWvby8PPTp04dddBYuXMj5fGBgIBsvZG1tzXG7MgzD9qurq4tVq1ZJZd9JFh5JMsK31z9ixAh06dIFAQEBMnlixGKxymzUjWjE34WamhpcunRJYSB4Q/j7+6Ndu3bYtGmTzKoEDfHkyRPweDw0adIE69evV5gZFxMTwyoL06ZNUxgc/sMPP7BK2po1a+Ran9LT09lDXffu3XHr1i2ZcpLiwxJrWkBAgFwl7aeffmKvc968eXLvSRKbSUQYPnw4kpKSZMoVFhayGaxWVla4evWqTGVO4s6TWLMUkYBK4rw0NTXh7e0t1+Wbnp7OJoaMGDFCrrvzr0ajUtWIRvwvwDAM7t69q5TL6vXr15g/f74Up48Eubm5WLBgAfh8vlQV+9evX7MLlIuLC+dvycnJ7CLXo0cPzt++fPnC/m3o0KFSit/48eNhZmaGo0ePynRzZGRkID4+vtHq1Ij/aFRXVyMuLk6leV5XV4cJEyZgz549Sq1lYrEY1tbWGD9+PCeBQRbS09MhFAoxZcoUpRQCs2fPhrGxMYKCghTG8kZHR4PH42Hu3LkKFb/CwkIYGBhg8ODBCjm2JEpaz5492YxiefDx8UGbNm0QFham0J1/9epVGBkZKSy3A9QHp5uZmWHRokVKSUDd3d3h5OSkMMbt70CjUiUHqp7CVZUTiUQKg8QbQtVyH4rSWBviHwmoVzWupXHD/ceg7PknJiZi5cqVUs81NjYW2traMDc35/yeYRi0a9cORPVcWg0hKYBsa2sr5fZ4/fo1fHx8FMZ3/DtB1Xmm6rtVXV2tEpOzWCxWickZgMqZRdnZ2SpZUGpra5WmvUuQk5Oj8jNqjFn736OqqkrlNTQ1NVUq+1seQkJCpBI7ZCEzMxPe3t5KGdgZhsG6detY6hpFOHnyJC5fvqx0/iQlJSE0NFRhJjJQn4wVEhKi0rt47tw5lUid4+LilCqbQH0M7a1bt/4t9qX/eqUqMjISx44dw61bt/Dnn3+yStL69esxY8YM1oSYlpaGffv2ISIiAgkJCcjLywPDMEhISECfPn0QFhbGTqa9e/fizJkzePjwIbKyslBXV8cWkPTz82O5VK5fv46jR4/i1q1bSE1NZcfetm0bpk+fzlpBsrKysHfvXkRGRiIpKYmdjKmpqejfvz/Cw8NZ02lISAjOnj2L+Ph4zoLr5uaGgIAA9qW8e/cujh07hnv37iErK4tdcIOCgrBkyRI2YyI3NxdBQUGIjo7G+/fv2YXl48ePcHd351hqTp48iYiICPz5558cU66Pjw9u3LjBXsuTJ09w5swZJCcnc+SuXr3KYbEvLy/HoUOHkJCQwJErLS3F2bNnOZtEZGQk4uLipBTN5ORkzouWkpKCO3fuSC2Q3y4YDMPg6tWrKi2kDx8+VEqSB9Q/S0WZKAzDsPfUcPO9evUq1NTUpEgAly1bBiKSitUIDg5Gx44d2T7EYjEb16VoY1WFRV7Sx7179zhKR2FhIa5fv86RKygowI0bNzi/T0lJwaJFi9jviWEYfPr0CTdv3sTevXs5FQw8PT3Zz4rFYmRlZSEmJgaHDh1iLQBpaWlYunQpFi9eDKBeIcnIyMC9e/cQFhbGZoVmZmZi3bp16NSpE6qqqlBZWYn09HTcv38f4eHh2L59O8rLy/Hlyxds2bIFbdq0weXLl1FcXIw///wT9+/fx7lz57B37148fvwYxcXFOHDgAGxsbDB9+nTk5eXh7du3uH//Ps6fP4/g4GAcPXoUtbW1uHjxIsaOHQsjIyNkZWUhJSUFjx49QkREBI4cOcJydKWmpsLHxwdmZmYICwvDp0+f8OLFC9y8eROnT5/G7t27cffuXTAMg9u3b2PSpEkYO3YsxGIxcnNzkZSUhOvXr+PYsWMsmzvDMLh58yZGjhzJuoirqqpYUth9+/Zx5m5CQgInsYFhGGRkZODixYtSFoCGCR8S2dTUVLkljb6dQzExMVJ9yEJhYaHKHEOqyn3+/Fmlw+s/olyrUkYGqKcQUPUQIHF1KVOIJXIMwyhULMrKylhLmzIFRNX7aVhhRBEqKytVLsuj6jP//PmzSmPX1NT8bcXc/+uVqpkzZ0oR9BkbG3PS9u3t7bFixQoYGhpy5LS0tFjyQaJ6VvX169fD3Nyck03G5/PRsmVLloBQTU0N06ZNw8SJE9kARUkzMTFhLRBEhL59+8LX15d1A0mavr4+evTowWZttGzZEtu2bUO7du04Y2tpacHS0pINitbR0cHixYvh6enJuW91dXV06tQJtra27DVPmDABBw8e5BATCoVCdOrUCaNGjWIJF52cnHDlyhW21pzkHi0tLeHq6opevXqx8Tvnz5/Hpk2bWCJUoVCIHj16YOrUqfD09GSDIC9cuICEhASWPFDCOL9gwQKEhITA2NgYNjY2iI6OBsMwsLKyYu/XxcUFfn5+iI6OxuzZszFs2DA2S0eSstykSRNMmzYNZ86cQVFREaKiouDn58du9omJiSCqJ4n08/NjOadqamqkSihYWVlBIBDA1dUVERERrCIWExPDUdY2bNgAoVCIpUuXKnzBr1+/Dl1dXU5m08mTJ6VOtD/99BMEAoGUQhgYGIj3798DqF84ly9fjg4dOii0bD548AD29vbg8Xgcxe/Ro0ds/ERycjLWrl3LprXv27cPlZWVCAwMhKGhIebNm4fffvsNkydP5gSWjh49GomJifDw8ACPx0OrVq0wc+ZM9OnTh8MYbmBggIiICLi6urJzeMiQIbC0tOS8J5qamli+fDnGjBnDyrVu3RotW7bkEOwKBAL06dMHrq6u7O81NDSkiEAl82HEiBEcvqRv1wVJjEpD5nR5TcJ/9i2J8LdNQ0MDTZo0gY2NjUI5Ho8HIyMjjBo1Cp07d+aM0/CaJdfds2dPhIaGsnF3GhoaGDBgAFq0aMGRNTAwwIMHD5CcnIyJEyeCiPDDDz9g6dKlcHJy4nBTeXl5Aai3uu7YsQNjxozB169fcfr0acyZM4edFwYGBhyl4fnz5+ycSk1NxYYNQ+1BjwAAIABJREFUG2BhYQEiwsmTJznzsOEGWVhYiI0bN0JfX18pE3dubi4mT54MHo+n1HIYGxsLc3NzhRUBgPqD1pw5c2BhYaFUAXv48CF0dXXlloySoLKyEo6Ojvjuu+8UygHAzp070bRpU6VlZV6/fg0jIyOF2XNAvZV2yJAhcHV1VTr27t27oa+vr7SsTFJSEkumqggVFRUYPHgwBg8erHTsnTt3QltbW2lZmaSkJJiYmGD37t0K5SorKzFq1CjY2dk1Mqr/nYzqX79+xdOnT3HhwgXs3r2bVS4kTVdXFxMnTkRycjLevHmDGzdu4PDhw6wi0HAh7927Ny5cuICMjAzcv38fp06dwrZt26RYk83NzbF+/XpkZGTg6dOnOH/+PHbt2sUWym24SI4ePRoJCQlITk7GlStXWKb2bxffdu3a4cyZM0hNTcXNmzdx+PBhbNiwgc3waKgceXt7IyUlBffu3cPx48fh5+cHOzs7qT6dnZ3x8OFDxMbG4sSJE/Dz88OECROk5Lp3745jx44hPj4eYWFhWL9+PSZNmiR135aWlggJCUF8fDxCQ0OxevVqjBgxQiaL/blz5/DixQscPXoUixcvRr9+/aSYogcNGoS4uDi8fv0awcHBmD59OrtoN/xeJLXXJHUcBwwYAD6fDzU1NXbz6dGjB549ewag3gqyevVqGBsbg8/nY9y4cbhy5QqMjIw42XoVFRU4ceIEnJyc2O/Vx8cHI0eOxPDhw9lFsba2Fvv374epqSn09PTw448/ory8HJGRkZz6a7W1tRg5ciSaNGnCOXl/qxQdP34cRCQ1nxtuANu2bQMRSZWwOHPmDMrKyvDmzRu4urqyyrHEUiUWi7F161YIBAIsXryYfT7NmzeHt7c3nj9/jiNHjrDp5ZJmbGyMESNGYOPGjYiIiEBUVBQnC0qiIAwZMgRLlixBUFAQYmJiEBERAXt7e5lzb/369Th69Cju3buHFy9e4LvvvpM6jHTq1Imtmffo0SN8+PABu3btgoODA6eigEAgwG+//YYLFy7g8ePH+PjxI+7du4dly5ZJVTPw9PTElStX8OzZM3z8+BGfPn1i33krKytWUbOyskJ0dDRevHiBT58+oaKiArdv38aWLVswbtw4Nl2fz+cjPDwcz58/R2ZmJioqKvDq1Svs2LEDkydPRps2bdix586di3v37rEVEvLz87FhwwY4Oztz3icLCwucOHECN2/eRHJyMvLz83HmzBkp5YmonsQ3ICAA586dw7Nnz1BYWIi0tDQpRnV1dXXY2Nhgzpw52LNnD+7fv89ax+Pi4ti5IHkPBQIB7O3tsXHjRty7d49jhQwKCoK6ujo2b97MrmtmZmZYtWqVVLzRx48fsXnzZhQVFWHTpk0wMDCAgYEB/P39pVxFNTU1KC0tBcMwOH36NJo2bYoWLVrg8uXLipZ6HD58GOrq6hg5cqTC8i+1tbWYPHky1NXVZWbmNsTz58+hr6+PsWPHyg22BuqV0XHjxsHAwEBprNXZs2fB4/Gwbds2hXJZWVlo2bIl+vXrp9CtLYkJ09PTY9c3eQgJCQERYevWrQrlXr16haZNm2LgwIEK48zKy8vh7OyMJk2aKB1769atICL88ssvCuXi4+PRpEkTDBw4UCGXXFlZGQYNGgQDAwO59Bv/bDQqVTJQXl6OOXPmwN/fHxcvXkR6erpc8+vOnTuxcuVKHD9+HC9evJBr1n369ClmzZqFHTt24NatW3JjK6qrqzF37lz4+voiPDwcr1+/lvui7t27F56entizZw9iYmLkWj9evnwJV1dXrFu3DqdOnUJiYqLMk1dNTQ2mTJmC77//HgEBAbh8+TLS09Nl+tK3b98OFxcX/PDDD9i1axeuXbuG9+/fS8kmJiaiY8eOGDx4MBYsWIDAwEBcuHABL1++5FxDbW0tW0bBzs4OkyZNwqpVq7Bnzx4pnhPJSy/ZxLt3744hQ4ZIEfYlJCRIWRS+DfTMz89HWFgYZ0MTCATw9fVlv8vq6mqcOnUKAwcO5PTl7+8vNS/S0tLg6+vLoUto3bo1J8aitLQUmzdvho6ODszNzeHk5IQOHTpwFKuKigo4ODigWbNmHKtTQ5w5c0amUiWBhM2+YXFdoL5UDJ/Px5QpU8Dn89GtWzdERUWx/X/58gVDhgzhHCjmzJmD27dvQyQSobi4GF5eXujSpQtHWW/RogXHvC8SifDkyROEh4djy5YtmDt3LlxcXNC6dWuZ/F2FhYWIi4vDsWPH4OPjA1dXV5llc4D6TeLt27c4d+4cNm7ciClTpsid/xKi3PDwcKxduxY3btyQ+8zq6urw8uVLHD16VC6rtATl5eW4d+8efv31V4VuLIZh8P79e5w+fVppEO3Xr18RGRmJAwcOyD1Vi8VipKWlITw8HGvWrJHJxVNeXo5nz54hLCwMvr6+GD9+vNSJPisrC97e3pg0aRLs7e3RqlUrqKmpoXfv3lLrQ2FhIRYsWMBRvogIe/fulRkbU1paismTJ3Msch4eHrhy5YpMl/q7d+9gYWGBVq1awcDAAPr6+ti0aZNMxYdhGMyaNQtnz55lSWU9PT3lxuhERUWhtrYWXl5eICKsXbtW5pomIT6tqqrCmDFjoK2tzRawliUL1FtvjY2NMXjwYIXWLIZhMG/ePGhoaCjkjALq6VvU1dWxePFihZaVgoICdO3aFZaWlnKtWRJ34Jw5c6ChoSE3YUayjoWFhYHH42HDhg0y5SR7UXJyMkxMTODo6CiTgkEkErGK74ABA2BsbCyX/qGsrAwMw8DPz0/meiWBJA70/v370NPTw7Bhw2QqknV1daioqEBRURH69+8PY2NjPH/+XGaffwUalapG/KVQ1dxaW1urctD/q1ev8PHjR6WB+rGxsQgNDcWlS5dw584dvHjxAu/fv0dBQQFnUU1KSsLgwYPh4uLCNmdnZyxevJizUBcWFrKuTEkbP368VNA3wzCckiyS039wcDDneXz9+hUzZsxgZTp27MhRrIqKimBlZYX27dvj8+fP2LlzJ2ecs2fPgog4fUrY7i9evAg+nw9fX1/OZ86dO8emZWtra+PIkSOcZxEdHS1lMdTX15fLsQPUf3efP3/GixcvOOVkFKExaPrfEyKRCF++fOFslJL4wuDgYOzatQu//PILNm/ejLVr18pk/k5KSkKnTp04c8jMzExuGn5ycjKn9JSbm5vC2JuAgABWtk2bNnKpBYD6DdjQ0BDOzs7Q0tJSWKHg0qVL2Lx5MwYNGgR9fX0pqpGG2LhxI/78809OySlZePfuHW7duoUNGzaAz+crZGoPDQ3Fy5cvYWBggAkTJsgNDD916hTy8/Ph4OCAFi1ayCW4fPv2LSIjI+Ht7Q2BQCDX4lZTU4MNGzawBdVXrFghd91etGgREhISYGpqiv79+8u1Eh0/fhxhYWHo378/TExM5FrmMjMzMW/ePKxevRo8Hk8uqTLDMBgxYgQiIyOhpaUFV1dXuQaMAwcOICgoCNbW1jA3N5fLp/VXoVGpakQjVER2djaio6MRGhqKgIAArFixAlOnTsXixYs5ipVIJMK7d+/w+PFjXLlyBaGhodixYwd8fX05loqSkhK2eGxDxaphkOaXL1/Qvn17mJubQ1tbm2Ph/P3330FEnMX38OHDMDY2hoaGBubNm8dZHCWLpmQsHR0d7Nu3j/17ZWUlrly5grt37yIhIQFpaWn4+vUrKisr/y2yahrx74+KigqEhIQgNDQUkZGRuH//PnsIknVoevbsGcfa2bZtW0yaNEluLM+FCxc41rJly5bJVWjKysrY+FSBQCDXSgPUW6MlcYDKLBspKSng8/kwNDSEtbW1wiy2BQsWsLFmiooEP3v2DJqammjevDkcHR3lHjBra2vRpk0bWFhYwNDQUGFg/owZM2BmZgYiQmhoqFy54OBgaGhoyC2oLkFSUhJ4PB40NDRgb28vN4O4srISLVu2hEAggKmpqUKlRuJ65vP5Cq9RstYREaZMmSLXe1NUVMQy77du3Vop99hfgUalqhGN+BejvLwc9+/fx/bt2zFlyhSMGjWK3VSSkpI4ZW98fHwA1Ctu58+fBxGhtrYWtbW1qKurQ4cOHdj4HT8/P9Y8fvnyZfTt2xcLFizAkSNH8OrVK6Up0o1oxF+JgoICrF+/HgcPHkRsbKzSOosJCQlsckzv3r2xYcMGPH78WK7VU0KqKbHKent7y92MG7KA6+rqKlSApk2bxsqOGDFCbmD858+f2WQHExMTHD58WK7C4u7uzvbp5eUlV6k8ceIEK9e/f3+57uS0tDT2AGVqaiplJZegurqaExfp5eUll1F9zJgxrJyjo6Pc+5bEcUpiMH///XeZcvHx8aycUCjEihUrZLqGq6qqOOEZ9vb2ci3iDRnVmzZtigsXLsiU+yvRqFQ1ohH/hpAoPCKRCCEhIezpS1dXF/n5+dizZw+cnZ1BVE/w+erVK5w+fZpdUGxsbDjZgooCaBvRiH93FBUVYeHChTh48KBKLmZJgeSuXbvKjfuSICcnhw3+79Onj1wWcKC+OL3EUtapUydOLOK3aFhofOzYsWxs5LdITU1l+zQ3N8fp06dl9ikWi9G1a1dWCfH19ZUbnD5nzhx27JkzZ8pV0vbu3cvKjR49WmbpLaA+O7ihMifPNZqbm8s+yy5dukiVtpKgIeu7qakpdu/eLTcm7ZdffmFDKBYvXiyXbiEtLQ1CoRBEhAEDBuDu3bsy5f5qNCpVjWjE/wEUFhbCy8sLfD4fGzduxNu3b9lFrlWrVhCJROjWrRuMjIwQHBz8t1uhKisr8eTJE7mn3IYoKytTmQOnMfaqEf8oysvLsWrVKpbTSxnmz58Pa2trlYgwJ0+eDENDQ+zcuVNhTGdBQQF0dHTQpk0bREZGKuzT09MTPB4PXl5eCpW/ixcvgqieZkQRbcT79++hpqYGGxsbhRlvlZWVaNasGbp3766QKV2iAHXq1AkXLlxQ+IyWLFmC1q1b49ixYwrXoD/++ANNmjTBL7/8ojBz8OvXrzA2NsaCBQuUFkd2c3NDv379cPPmzX9puEKjUiUHCQkJKhE/vn37luUwUoSKigpER0er1OeNGzdU2nRevnyJhw8fKt14qqurERYWpjCFWILIyEi8evVK6aR8/fo1Ll++rJTErq6uDkeOHFHKdwLUk1w+e/ZM6djp6emIiIhQyh3DMAxOnjyp0rOUxH4oGzs7OxvXr19XyfJz5swZTuC5PDTk8VGEqqoqxMXFwdXVFeUhIfikpgYxEfJ1dfFs5UrMnz9fJfLDuro63Lx5U6m7paqqCpGRkVInvoKCAkRHRyMwMBDTpk1D165dwefz4eTkJDUXq6ur8eTJE+zfvx+zZs1Ct27doKOjg3fv3skcs7KyEnfu3GEDhhWldZeUlCAqKgorV67EhAkT5H4nElLKoKAgTJgwQSHbdHl5Oa5evYoVK1Zg+/btcuUYhkFKSgp2796NWbNmKXwPampqcPv2bXh7eytl2q6qqkJUVJTCgOqG16DI/dUI5SgtLVVobWqIt2/fYsmSJTILpH+Lbdu2YcOGDUrZ+7Ozs+Hg4KC0Th3DMHBzc8PZs2eVXuv69etx6NAhpQersLAwBAcHK92Tnj59qrA2nwSFhYU4cOCA0j2BYRiEhYWpxKh+584duRa+hvj69atCC+PfCVWVKl697N8LW1tbPHv27C8d49atW5STk0MGBgZkaGhIBgYGZGBgQEFBQXT8+HGaPn06zZgxg/T19enu3bukp6fHaQUFBTRkyBAaOHAgTZ8+nSZNmkTnz58nDQ0N0tHRIV1dXdLR0SEdHR2aOXMmff36lSZPnkxTp06l6upq+vDhA2lra5O2tjZpaWmRtrY2Xbp0ibZv304uLi40efJk6tevHz1+/Jg0NTVJS0uL/VlVVUWurq7UvHlzcnd3p8mTJ9Pbt28JAGloaJCmpib7c/369ZSQkEBDhw4ld3d3MjMzo0+fPpGGhgan3b9/n3755Rfq3Lkzubu7k4uLC6WmpnJk1NXViWEY8vDwIE1NTRo7dixNmjSJiouLSSwWk7q6OiunoaFBgYGBdO/ePXJ0dKRJkyZRu3bt6MuXLxwZDQ0Nev78Ofn5+VHbtm1p0qRJNGzYMHr37h17H5ImEAjIw8ODiIjGjh1L7u7uVFlZSdXV1ayM5DN79uyhq1ev0sCBA8nd3Z06d+5MGRkZnGepqalJb9++pSVLllCXLl3Iw8ODxo4dS8+ePWO/Ey0tLdLS0iINDQ1yc3MjhmFo4sSJNHnyZCotLaXCwkKpZ37kyBEKDw8nBwcHcnd3p549e9L79+9JW1ubnRM6Ojr04cMHmjJlCtnZ2dHUqVNp0qRJdPPmTTI1NeU0dXV16tmzJy03NaXZsbEkqKlh53GdUEibW7QgzTlzyMfHhwoKCig/P59tJiYmpK6uTmfOnKFz586RsbExnTp1iiorK6miooJthYWFZGZmRhcuXKCrV69SeXk57du3j0xMTEgkElFdXR2Vl5fTw4cP6fnz55SWlsZ5n4RCITVv3pxatGhBzZo1o9zcXEpJSaG8vDyOnImJCZmZmZGpqSmZmZlRZWUlJSYmUnZ2NtXV1bFy9vb2ZGZmRvr6+qSnp0cA6M2bN1RQUEBv3rwhsVhMRERdunQhOzs79l3S0NCg9+/fU05ODqWnp1NWVhYREWlra9N3333Hfu+amppUVFRE6enpVFZWRvHx8VRbW0tERBMmTCALCwt2jjIMQ1lZWVRSUkKJiYmUmZlJREQ9evSg4cOHk7q6OtsqKyvp8+fPVFRURLdu3aLy8nLS0NCgtWvXklAoJIFAQAKBgNTU1KimpoYMDAwoJiaGrl27RhUVFbRs2TKytrYmsVhMYrGYGIYhsVhMvXr1oqZNm1JYWBidPHmSOnXqRAcPHqTS0lIqKSmh0tJSKi0tJSKiKVOmEBFRYmIi7dixg/z9/alt27YEgIqKiigjI4Pev39PgwYNImNjYyKqPzxnZ2dTixYt2O+AYRhKTk4mHo9HPXr0ULieikQiSkpKIhsbG6Vr78ePH8nMzIzU1dUVyjEMQwUFBWRiYqK0z+LiYjI0NFQqV1FRQdra2sTj8ZTKVlVVkZaWFolEIlJTU1MqR0SUn59PTZs2lSlXU1NDQqGQ+Hw+5eTkUNOmTUkgECjss7q6murq6khPT0+mXGVlJWlra7P3pqOjI3dsPp9PQqGQxGKx3HGJiMrLy0lXV1fu3yUoLS0lfX19pXIikYhqamrkXltDlJSUkIGBwT9NjmEYqqiokPv8/png8XjPAdgqFVRF8/pnt7/DUuXh4cHJvpLXWrduzfprFTWhUAihUKhSn7q6ulJsyLKahKBSFVmBQAB1dXUpPhlZfUquVZU+NTQ0lN6TRE6V6xQKhTIZq2Vdpyr3I7lvVZ67mpoaJwtO2XNXJqeurq7y2KqMS0Qy71dPTw+amprIIKo3Hn/TMoikiFElTUdHR6X7VfScJd+Fjo4ODAwMcObMGdy9exeTJk2CQCDA3LlzERoaii1btmDRokVwdXWFjY0NZs+ejRs3bmDixIlQU1ND27ZtsWvXLvj6+mLu3LkYO3Ys7Ozs0KJFC/j5+cHS0pIdc/LkyfDw8MDIkSPh4OAAKysrNG/eHK6urhxm8a5du2L48OEYOHAgbG1t0bVrV7Rs2RJdu3ZFnz59OM/QxcUF9vb26N27N7p06YLWrVvDwMAALi4unO/bxsYGdnZ26NmzJywtLdGmTRsYGRnBxsaGwwTfvHlzWFtbo0ePHujcuTPatGkDY2NjmJqacqowSKoRtG/fHhYWFmjZsiWMjY0hFAqlnrvkWWtqakJHRwd6enrQ0tKSSeopa+506NABV65cwaBBg0D/My8mTJiAXr16cVjSiQgxMTEA6pMinJ2dERISgri4OAQGBmLMmDHsPcyYMYOzdja0rqSkpMDHxwfm5ubQ0NBQWFuypKQEvr6+0NTUxIEDBxSuzzk5ORg6dCj69Omj1AoRFRUFAwMDpQSTFRUVGDBgAFavXq1QDqjneuvQoYNSq25WVhZatWqFq1evKpRjGAbu7u6YO3eu0rHPnj2L1q1bK7WMZWVloXXr1jh//rxCOZFIhIkTJ2LKlClKxw4NDYW5ubnS8lupqalo2bKlFDP+t6ipqYGbmxvGjBmjdOyjR4/C2NhYqbsvLS0NFhYWCpMKgHrL/PTp0+Hk5NTIqP53uf8YhkFpaSk+fvyI5ORkPHr0COPHjwdRfdbI4MGDsXnzZty6dQvFxcUoKipCVlYWXr9+jSNHjrCLlrOzMzZt2oSYmBhUVFSguroa+fn5yMzMRHJyMptm2rdvX5aEsLy8HGKxGBUVFcjLy0NmZiYWLlwIonqG8qVLl+LSpUssb0tdXR3KysqQl5eHW7dugag+pmbWrFk4efIk62ZjGAa1tbUoLS1FTk4OunbtCgMDA7i5uSEoKAipqansBBOLxaiqqkJxcTH8/PygpqaGAQMG4KeffsLjx485ZmSRSISKigokJiZCIBDA0tISS5YsweXLlzkLT8M++/XrByMjI3h4eODQoUOc8gMMw7Akcb/99hsEAgEcHBzg7++P2NhY1jQtuZ+ysjK8ffsWGhoaaNOmDTw9PXHu3DkO+V1dXR3Ky8uRn5+PoUOHQltbGyNHjsSOHTs4Lj7Js8zNzcW+fftAROjWrRuWLVuGyMhIdmOQyOXk5CA5ORm6urowNDTE+PHjsXfvXrx580aqz/z8fLi5uUFTUxNDhw5FQEAAEhISIBaLIRaLUV5ejtzcXGRkZCA4OBhE9RlCHh4eOHDgAN6+fYvi4mKkpaXh0aNHuHjxIg4cOABdXV2I5ShVYiKMHDkSv//+O+7evYvk5GR8/foVJSUliImJwcaNG+Ho6AihUMjyt2RlZaGgoADV1dUsUWBiYiICAgLg4uICoVCIGzduKHUxffr0SSEHjwRfvnxBQECAwk2KYRg8f/4cK1asUFhHTnKta9euxezZsxWO+/79ewQGBqJ///4K3fWFhYU4fvw4Ro8ejf3798uVq66uRlRUFGbPno2RI0fKXaxra2tx69YteHl5oU2bNnLdnnl5eTh16hSmT58OY2NjKQJEsViMpKQk7Nu3Dx4eHiyvU7du3dhqAh8/fkRJSQlOnz6NLl26SClbo0ePxqpVq7B//35cvXoVKSkpqKqqQn5+PhYtWsQeCiSKv7GxMdzc3LBjxw48e/aMfRdFIhH8/PzQvXt3HD16lA04bt68OXx9faWKQefn5+Pp06eoq6vDgQMHYGpqCn19fQQEBCh04cfExMDc3BwWFhaIi4uTKwfUl3ESCASYNWuWQndWbW0tRo0aBUNDQ7m8WRLcunULampqUlxv36K8vBy9e/eGpaWlUpeWv78/BAKBXFJRCeLi4qChoaGUALSwsBDdunVDly5dlBLQzp07FxoaGqwSLQ9nzpwBn8+Ht7e3wrFTUlLQvHlz2NjYKBy7srISI0eOhK6urtLg8d27d4OoPstZ0dgvX76Eubk5rK2tFZb8qq6uxvjx46GlpaW0hNA/C41KlQyIRCIEBwfjyZMnSv3IMTExuH//vlI/8ufPn3H16lWlJx6GYXDlyhWV4oASExM5ypE8FBUV4fHjxyrFc6mS2gzUn1CUnSSA+lPhkydPVAqcjo+PV8nPnp6ejrS0NKX3XVNTwymboQixsbEqxX2lp6erdD8ikQgxMTEqEZrevXtXpXiuZ8+eYe3atSg0MJCpVBUbGsLf31/p91xeXo4bN26olEVVWloqxWj/74h/5ASqagySKu8LUL9Rq9InwzAqBfKLRCKl/DoMwyAtLQ1Hjx6VWdg4KysLN27cwM6dO+Hp6QlHR0f89ttvHLm6ujrs27dPqq5o+/btpQqRS5CXl4dhw4ZxrG8TJ06Uy5ReWFiI3r17Y8aMGbC0tISamprCuKS9e/eitrYWmzdvBp/Px/jx4+USgUoOPXv27AERYcWKFQq/B7FYjKlTp0JbW1tpyZI3b97AwMAA7u7uSouQu7u7o0mTJlLK5LeQcC015IaThYyMDJiammLEiBEK52BVVRUGDhyIZs2aKayTxzAMVq1aBYFAgEuXLsmVAf4/LrulS5fKrWQA1MeXmZubo0+fPjK/n7q6OvaA6eLiAkNDQ7mKcUVFBRiGwc8//wwi+eVxJAHtkhI1jo6OMvcLkUiE6upqlJeXY+jQodDT08O9e/dk9vlXoFGpakQj/g9ALBbj/Pnz6N27N6bzeKgRCjkKVY1QiKlEmDBhgtxyEI1oREMUFxfj2bNniImJwcWLFxEaGoq9e/diy5YtMhXp+Ph4TqF5IsK0adPkHjBKSko4tUTHjRunUEF/+PAhBAIBbGxsIBQKsXv3brnK8ufPnzF16lRs3rwZRISff/5ZrmxsbCySk5OxcOFCCIVChZlusbGxyM3NRdu2bdGvXz+5h6LU1FRUVVWxlid5rO4Mw+Dly5d4/vw5tLS0FJJrxsXFobi4GF27dkX37t3lulBv3bqFiooKuLu7Q09PD4mJiTLl3r9/j1u3bmHLli0gkk8AWlNTg61btyIyMhJqamoKr9HLywsvX76EmZkZ+vbtK/cQHBwcjIsXL7JlYuQlh7x79w5LlizBmjVrFCqcDMNg7NixiI6Ohq6uLkaMGCE3CeDQoUMICwuDo6MjjIyMlCaH/LPRqFQ1ohH/xhCJRDh16hTLT0NEWLp0KV6tW4diQ0OI/8dClf3bbyx7NBHB1dVVaWxJIxqhKtLS0rB48WL4+PggMDAQR48eRUREBB4+fCjT+lZWViZVGH7MmDFyN8L8/HwOCWV4eLjC6/nuu+/Y+LGgoCCFsiNHjkS7du3A5/PlElEC9a5pExMT9OvXD23atFHoLViwYAFL2Ll37165crdv30a/fv3QsmVLODs7y/V8lJSUwMTEBE5OTjAzM5NreWIYBn31CqvXAAAgAElEQVT69IGtrS2EQqHCEj2enp5o27YtiEiq7mND7N+/H7q6ulBXV8ecOXPkWuYeP37MhsQoYlSX3IuamprSMjFubm7g8/ng8/k4fvy4XDlJnVMejwd3d3e53oeSkhKYmpqCz+fD3NxcpWzofzZUVarkpzw0ohGN+F8DABUWFlJ6ejqnubu706hRo4jH45G2tjabZWdqakr+/v5kaGhIJywt6fvvv6fju3aRh4cH7ezYkVxdXYmIKCsri80+qqmpIX9/fyosLKQOHTqwrV27dmzG0D+Kt2/fUllZGZmbm5OZmRlpaGj8cx5II/4t0aFDB9q3b59KspWVleTq6kolJSU0d+5csre3p379+pGlpaXMbDMANGvWLPr06RMREZmbm1NCQgKNGzeOzaZriEePHtHJkyeJiEggEFBqaqrczLwnT57QtWvXiIioU6dOCuf7gQMHKC8vj/Ly8mjt2rVyMwOLi4spLCyMKisrqUuXLjRw4EC5fe7bt48eP35MfD6ffv31VxKJRCQUCqXkjh49Snl5eXTv3j3y8vKSKUNEdPfuXXr69CkRETk6OsrNfMvMzKRjx46RSCQic3NzMjExIQBS91RZWUk///wzlZeXE5/Pp2bNmlF1dbXUcwJAa9asYT/TpEkTKiwslJn1t3XrVjbbV0dHhz5+/EjdunWTkrt9+zZdvHiRiIi0tLQoIyODGIYhPp/PkauoqKDVq1ez11FaWkpFRUVkZmYm1efPP/9Mubm5RESkrq5OHz58oO7du8t8Rv9qNCpVjfivR1lZGV28eJFqa2ul2qRJk8jS0pKVjYmJoZycHKqrq6O6ujqWjqB58+bk5uZGPB6PAJCfnx/9/PPP7Of4fD4FBQXRqFGjiIiosLCQtm7dSgYGBsQwDAUEBJChoSHl5eVRaGgoEREFBwfT69evKSAggIYPH06fP3+mFy9eUEhICP3888+koaFB69evpylTptDBgwfZsYyMjOjatWtkZ2dHRPWbRXBwMIlEIg7Vhbq6Og0YMIA6duzIfrZFixY0Y8YMioyMZPsyNzenAQMG0N69e9lNISUlhb58+cIu5g1/2tvby908GvF/FxUVFXThwgWVUt2JiHbt2kUxMTH03Xff0YwZM2jw4MFyU/3FYjF5eXkRUf0c9PHxoXnz5smlOvjpp5/Yf/ft25d69eolU666upoOHDhARPXvoKLU/+PHj1NlZSUR1VMe5Ofny5TLysqiiIgIIiJSU1OjjIwMmfNdLBbTnj172P/X1tbKVf4CAgLYf5ubm1OzZs1kyv3yyy8kEomIiMjW1pZsbW1lKon79++nL1++EBHRoEGDyN3dXebYUVFRdP/+fSIicnBwoHXr1lGbNm2k5DIyMmjnzp1ERNS9e3f68ccfafjw4VJyIpGIli9fzt7H2rVraf78+VIKFRFRYGAgffr0iYRCIc2ZM4fWrVsnU6F69+4d7dq1i4iIrK2tafPmzTR69GiZz+ffAqqYs/7ZrdH998+BqkG8kgw7VVBUVKRSv4WFhZzMPHkQi8WIjY1ViaD0zp07iI6ORmZmpsIg0qSkJLa22LVr1/D69WuZQfh5eXmwt7dHz5494eTkBFdXV8ycORMrV66UylScOXMmx6VhYmIiM/gzOjpaKk1+9uzZnBiExMREfPfdd6yctrY2oqKi2L9nZmbC0tISrVu3RkpKCg4ePMi5327durF9h4WFAagPII2Li8Phw4fB5/OxcOFC9jN1dXVYsGAB+xlTU1Ns3bqVE2iakpLCoSAgInTu3FnmcxOLxdi0aRNHdtGiRZzsuuLiYsybN08qE+3bdPY///wTAQEB8PHxwbx58zBhwgQ4Oztj5MiRUmOLRCJ8+vQJcXFx+P3337Fjxw6sWLFCrpuBYRjk5+fj8ePHOHXqlNIsoOrqarx69QoRERFKA9Dr6urw5s0bhRlIDa9DEdXAfyPKysoQHh6uUgA/ABw4cAAWFhYIDg5Wmhz0/PlzEBGsra3lllWR4PDhw2zGdXx8vFw5sVjM1tdcuHChwuteu3YtiOpL3yhygV24cAFEhA4dOigs+vzixQsQ1RedvnLlily5rKwsCIVCdOzYUaFccXExjIyM0K1bN1y7dk3uel5XV4cuXbqgR48eSolSPTw80LlzZ5w5c0bhuxMUFAQzMzPs3LlTYTLPhw8foK+vjx9++EFpYpSrqyt69eqFS5cuNTKqy2v/SqXq5MmTcusgNcSNGzdw9OhRpXweOTk5WLJkCSIjIxW+iJJMjc2bN+PBgwcKlZzw8HBMnDgRe/bsQVJSktxJnJ2dDTs7O3h6euL48eN49+6d3Ek3bdo0ODo6wtvbG3/88YdcRvCIiAg0bdoUI0aMwMaNGxEZGSkze660tBStW7dGq1atMG7cOGzatAkRERHIysqSugYvLy8QEVq2bIkRI0Zg9erVCA0N5WTV1NTUsIWEiQhaWlqwsrKCu7s7QkNDIRaLwTAMPn78iCtXrsDU1FSK/2f58uUoLS1FcXExrl69Cl9fX3Tq1IkjN3z4cLx+/ZpV9latWsUp6kn/EyPSMO4iOzsbQUFBGDJkCIePytTUlFW8GIZBdHQ0hg4dCqL6+ljTp0+HmZkZh/fnzZs3LM+SvCw9CfUGEcnMFvvjjz+grq6OqVOnsvOIYRhs3boVWlpa8Pb2hp6eHnR1dbFixQp20aqtrYWfnx/nHvT19TF9+nRcvHhRahG8ePEidHV10bFjRzRt2hR8Ph/jxo3DlStX2CDm69evc4KcBQIBnJ2dsX37djaT88qVK1JUANbW1ggMDMTDhw9Zio6lS5dK8as1b94cly5dQkZGBhiGgVgsxuHDh2FjYyPFy3T69GmO8v706VN4e3tjzJgx6NChA0stsGjRIs7GXVxcjBs3buC3337D999/j969e0NDQwMdOnSQSQ2Qk5ODqKgobNq0CaNGjYKJiQlu3Lgh87uUPPdHjx7B398f27ZtkyvXEMoOFv9JEIvFuHTpksoHP09PT4SEhCjN1GUYBjY2Nvjxxx+VZgpfu3YNFhYWuH37tkK5qqoqtGjRAtu2bVOaReri4oI1a9YozRT+/vvvFdb7k2DdunUIDAxUei8HDhxASEiI0uu7desWTp48qXSeffz4EaGhoUr7E4lEOHHihNL7AOrXDVWyzD9+/Ki0hM7fBVWVqv9YRvXY2Fj68uULy3DM5/NJIBBQeHg4hYaGUufOnWn8+PHUr18/qqqqIqJ6dlZJy83NZX3Ntra2NGrUKBIKhdSyZUsSiUQcF1FQUBBlZmaSUCgkBwcH6ty5M+vvrqqqoqqqKqqsrKQnT55QTEwMEdX7pO3s7MjExIQ6duxIWlpaVFZWRmVlZVRUVERnzpxh78XIyIjatm1L3bp1o3bt2lFJSQkVFxdTcXExPXz4kMNq3aRJE7KysiJ7e3uqqKig/Px8KigooPfv39O7d+84z6hdu3Y0bNgwlgE4NzeXcnJyKDU1lSNnZGRETk5OZG5uTl++fKHPnz9TdnY2ff36lWW+JiIyMzOj3r17U4sWLejr16+UlZVFmZmZLBO0BG3btqVevXqRsbExZWVlUVpaGmVmZhLDMBw5W1tb6tu3LwGgV69e0atXr6i4uJiIiDQ1Nam6upr4fD5NmzaNRo8eTQ8fPqSHDx/Sy5cvCQC1b9+eunTpQlFRUdSpUyfasWMH9e7dm3755Re6cOECff78mdq1a0cTJ06kSZMm0eTJk2n9+vU0d+5c4vF4tG/fPjpz5gzFxcWRpqYmjRw5kiZOnEgxMTFUWFhIBw8eJBMTE7px4wb5+PhQUlISOTk50erVq2nkyJH0+PFjat68OWtOT0pKosGDB1PHjh0pKiqKZbv+8OEDx+T+66+/0po1a8jY2Jjy8vKIx+MRwzCUmZlJbdu2JSKimzdvkpubGzk7O9OlS5dYN8nZs2dp8uTJVFJSQgcPHqRdu3ZRXl4eTZkyhXbs2EEmJib0+PFjmjFjBu3atYtSU1Ppjz/+oNjYWNLR0aExY8bQihUrqG/fvkRE9ObNG7p48SJ5e3vThQsXKDg4mO7fv08WFhbk5eVF3t7eVFpaSqtXr6YbN27Q1q1b6fLly3Tt2jUqKSkhS0tLGjt2LK1cuZIuXrxIfn5+lJ+fTy4uLvTy5UsqKCggoVBI1tbWZG9vTy4uLnT58mU6duwYicVi0tXVpfLyciIi0tfXJysrK7KysiIzMzN68eIFXbp0SerdNzMzI0tLS+rUqRMJBAJKS0uj27dvc2R4PB61bNmS2rdvT23atKHq6mpKSUmhxMREjpy2tja1atWKWrduTS1btqTc3Fx68OABZ07zeDzq2rUrhyWfx+PR169fqbi4mGJjY9l7mDBhAnXv3p1TQUFTU5OsrKyoffv2dP78eTpx4gRpamrS5cuXqbS0lIqLi9l3XiwW05AhQ9ixP3/+TFpaWmRkZMT+rra2ll69ekWdO3dWypxdU1NDxcXFMt0u30JVluuamhqVY/GUsZlLIInJYRiGSktL5bKrN4zd+fLlCxUVFVHXrl2VykZERNCgQYNkMnM3lEtKSiI1NTWZsUQN5YqKiuj9+/dyGeglrOdisZjS09OpU6dOMuUaPp+ioiJq0qSJ3P54PB7x+XyljOq1tbVK2e7/ETmGYdjQAmVQdW6oKgeA6urqVBr7/y/+6xnVx40bJ+WaUNT4fD4EAgGEQiE0NDSkGKzV1NTA4/EgFAqhq6sLIyMjmJubo1WrVhxWay0tLbRu3Rrq6upo0qQJWrRogY4dO8LKyopjNdHR0YGzszPU1dVhYmKCtm3bwsrKCg4ODhgxYgRrTdDR0WGJA01MTNCxY0f06dMHQ4cOhYeHBzp27MiOO23aNEyYMAFGRkbo1KkT7O3tMXbsWMyaNQsTJkxg+Wfc3d2xe/du6OnpoUOHDnBwcICbmxt++OEH+Pn5QUtLi7VKREVFoUePHmjbti0cHR3h4eGB5cuXIzAwEM7Ozqz1JyIiAv7+/mjZsiX69/9/7H15XI35+/7T6bRp16IiEUKUUoSsKVmSGkmJKFGWlGxDpMJYorKNPVuYyjb2rcjYxjZkItJgSoXSvp/zXL8/+j3Pp6fzLM33NzOf+X2n6/U6r9dM53aec57l/b7v677v6x4Eb29vfPvtt/j+++/p1l9HR0ecP38er1+/hq6uLgYOHIhp06YhOjoax48fx8OHD6GnpwdnZ2ekpaWBJEk4ODigf//+CAgIwNatW3Hz5k0UFRUhMDAQPj4+9ADSXbt2wcbGBiEhIUhJSaHZtWvXrmHLli10dFdcXIxevXohPDwcT58+pSMgiUQiI+Do4+ODqVOn4vTp04zoq7nWz+nTp+Hp6SnY4ltcXIx58+YxBo0mJycjIiKCYbdmzRr6fDWFo6MjI215//59bNiwgfeYtbW1SEhIwPDhwxmsS2VlJYOBzM3NxbZt2zB06FD8+OOPjM9oHiVmZmYiJCQEc+bMYfz95s2btG19fT1SU1MREhKCnj170qm+0tJSLF26lLZ98+YNDh8+jKCgIFhaWtKdQm/fvsX06dMRGhqK0tJS3L59G9u3b8esWbPQv39/jBs3DgDw4sUL+Pj4wMTEBNnZ2bhw4QI2b96MWbNmYciQIdDT08PHjx+RkZGB6dOnQ0FBAfv370dSUhLWr1+PgIAAjBgxAh07dsTmzZvx+PFjTJ8+HYqKihg/fjz27duHiIgIzJgxAw4ODvTzd/LkSYwaNQpycnLQ0NBAeHg4Zs2ahQkTJmDgwIEwMTGBkpIS7O3tGcygmZkZevbsiU6dOsHAwAAaGhpQUFCAubk5VFRUGIwf2zplaGgIoDFN/+2330JbWxvPnj3DkSNHMH/+fNjZ2UFJSQkEQeDKlSuM69M0lfn27VssWbIEurq68PT05L2HqqursWzZMrRt21ZQ862goADW1taCmk1A4zNrb28vyLwUFBSgd+/egkKhABAQEIBVq1YJ2qWmpqJ///6CZQmlpaXo27evoKgnAMybNw+hoaGCdlevXoWlpaWgovqnT5/Qu3dvQTV3qVQKf39/BAQECB771KlT6NatGz59+sRr9+HDB3Tv3l1Q+LehoQEzZsxokZr7qVOn0KlTJ8G5qXl5eejVqxdd+sAFqVSKBQsWYOzYsa2K6n+HUyWVStHQ0IDa2lpUVVWhvLwcJSUlCAoKgpqaGtzc3LB3715OCvLu3bvQ0NCAl5cXTpw4wVlrVF9fj969e8PLywspKSmorKzkvMDLli3DxIkTkZKSQgujseH+/fsYO3Ysjh07Rm/AbLYSiQRTpkzB/v376ZoOrs/cu3cv4uPj6QeZyy47OxtRUVEtEpCMj48XFMYDgPT09Ba1wJaUlHBqszRHS0RU/0lgqxM5ffo05OXlZcZQjB49GsT/1aZqCk9PT5iamrJeG6E6lH8aWroI8ik6N8Xbt28ZzioX8vLyWqT39enTJ8FFHWjUDAoPD+dcR0iSxJcvX7Bv3z44OTkhJiaG8X5JSQlOnTqF0NBQ9OvXj3amevTogaSkJFy9ehUPHjxAVlYWCgsLUVpaitjYWLRt25bhbCkoKMDGxgZBQUE4cOAAMjIyGErpK1asQGRkJM6cOQNnZ2faQYuIiJBRom9oaKBTcbdu3UK3bt2gpqaGHTt28KaKsrKy0KlTJ3Tp0oVTYZ7CqVOnIBKJsHr1al67uro6DB48GKampoL3QmJiIgiCEBzrUlhYCAMDA3zzzTe89yFJkpg4cSL09PQEHYGEhAQQBIETJ07w2mVmZkJDQwOTJ0/mPXZFRQX69esHExMTfPz4kfc7BgcHQywWywRDzUEJgM6ePZv3OmZnZ6Njx47o1asXrxNdU1MDNzc3KCsr4/z587zHpmpBAwMDedO2b968gYmJCbp3786bHpRIJPDz84O8vHyLhpT/GfjXO1VsIEkS9+/fb5ESd25ubovsampqeEcyNEVLPg/4YyrSrfhn4+XLl5gyZYqMOOK5c+fo+qF3797Rf6+oqKBnJ44ZM4bxb7777jua7Whe67d582Zs2LChRY5FK/57EForKioqkJqaiujoaJlGkLS0NJqZbvpatWoV5+eWlJRg3LhxDPbLyckJp06dYq1hIkkSc+bMwcOHDzF79mz6PuTa4Cim5969e9DR0YGtra0gC3Lr1i0oKSkhMDBQcK2bP38+2rRpIzh6JisrC6qqqggODua1k0qlcHJyQqdOnQRZqvj4eMjJyQmyVA8fPoSSkhIWL17Ma9cS8VGgcZ9wdnaGjo4OzcSzgSRJfPvttxCJRJz6X9T5TU5Ohry8PIKCglgdKsoB//XXX+kxMWxMWl1dHaRSKcrLy+Hg4AANDQ1OVfPq6mqQJIkNGzaAIAisXLmS9XpT9+4vv/wCfX19zhE1VMNVXV0dJk2aBCUlJZw7d47j7Pz5aHWqWtGK/yFyc3ORnJzMG82VlZUhISEBixcvZt2c3r59i2nTpkEkEmH+/PmM9y5dukQ7Ttra2oyFpmmxvpqaGsMRv3z5Mv2eubk5Y+GhxPHatWuHrVu3sm6yN2/exMmTJwULST9//tzq2P9DQZIkiouL8erVK6SnpyMlJQVHjx5lvV4vX76UadQQYlLi4uLojlUdHR0kJibyzj8cPnw4Tp8+DWVlZYwdO5azWYckSVy/fh3Pnz+HhoYG3N3dORmLL1++QCKR4PDhw4LfubKyEtXV1bCwsICNjQ0nY0s5Md999x3EYjEePHjAaldXV4fq6mrcv38fYrEYUVFRnMcuKChAYWEhOnToAEdHR85C7szMTNTU1GDQoEEwMTHhZNlv3bqFuro6TJ06FW3atOH8jq9evcK9e/foMoGEhARWu4qKCsTExCApKQny8vKYO3cu67UkSRKzZ8/GkydPoKOjg0GDBnEqqm/cuBGXL19Gv379oKenhydPnnD+5mXLlmHRokUgCAJxcXGsdiRJwsPDA+np6dDQ0MDw4cM5O2kTExNx9uxZjBkzBqqqqoJNBX82Wp2qVrTiDyAnJwebNm2CnZ0dFBUV8dNPP8nYNDQ04NKlS/D29oaKigrU1dVluvM+fPiAWbNm0ayApqYmI+Kj5rIZGBiAIAg4ODgw/v358+fpxfLHH39kpFEKCgrozXHcuHEyYzmoAc7E/+203LNnD8Phq6+vh729PVRVVeHl5YXTp0+zRswvX76Eubk5/Pz8kJSUxDmjrRX/XFy+fBnm5uawtbXF+PHjMXv2bERERHA6YEAje9pULmTXrl28znVMTAxt6+/vz9sdduXKFZiamsLQ0BBDhw7lZexWr16N8PBwKCsrIywsjNOupqYGHh4emD17NjQ0NHhTjiEhITh27Bjk5eVlUrBNcebMGURGRsLY2BijRo3iDKw+fPgAR0dHDB06FJ06deKUl6mpqUGnTp0wceJEqKurc5ZBUJ2KQ4cOhVgs5q2j8vLyohlLvtq1yMhIaGpqQl5eHvPnz+e8lufPn6frckeOHMnJdn/8+BFqamoQi8UwNjbmHE1EkiRGjhwJeXl5yMvL48iRI5zf8ejRo3TNsqurK+d9UVlZifbt20NJSYl33uBfiVanqhX/ejQ0NOD169c4e/Ys1q9fD19fXzg6OjJqanJychhzzKjNpDlKSkowYsQIwai/oKAA7u7utE3zYbdAY6qEIAhERETg22+/lXn/2LFjkJOTY/1N48ePx8SJE2FmZiaziTU0NNAaV3Jycjh48KBMyjk/Px/t2rWjv5+6ujqSk5NljpOWlkanJ+Xl5WFvb8+IiBsaGrB+/XqsXLkShw4dwp07d1BQUNDKcP1D8Eevw9OnT+mGm3bt2mHGjBlITk7mZH4+fPjAaNBxc3PjTacNGzaMvi8TEhI4018NDQ30WBtTU1NenTBqkDFBELwjberq6ugatEGDBvHW9EyYMIF+Ln777TdOu1WrVtHHTkpK4nS+Dh48SNuFhYVxMkDXrl2j7ZycnDgdlhcvXtCOb+fOnTm12QoLC+nro6SkhC1btrAy6vX19Qw208fHhzN9O23aNNrO0tISd+/eZbVrel00NTURGxvLej+Wl5fD0NCQtp00aRKnc9r0fHfv3l2mCePvQKtT1Yr/r1BZWYmnT5/i0aNH+Pnnn3H//n3cuXMHt2/fZtQcUZv5nDlzMHnyZIwaNQq2trbo378/Y0J9fX09fHx8GE5Qu3btZArhq6qq4OHhQdsEBARw5v2bCmzOnj2b9XekpKRALBbD0tISpqamMpsSSZIYPnw4Bg0aBJIkWdMliYmJEIlErJ9fVVWFrKwsiEQiVtr/8uXL0NTURMeOHdG7d2/WVEN6ejrNpHXs2JEzej506BAjFdlc6LC0tBQjR45knOO2bdvi1q1btE1dXR0iIiLg5uYGX19fzJ8/HytWrMD69esZizJJksjOzmZ9tUTPphX/c+Tn52PixImIjo7G48ePW6SP5ebmRl/v1atX83ay3blzh74/tLW1sXv3bk7HhmJNKObk+++/53QQx48fT9v26NGDVdMNAM6ePcso6N+/fz+r3adPnyAWi2nbwMBATkekqTPg5ubG+vtJkkSfPn1ou7Fjx8o0BVCgOqkpFjonJ4fVjuriJojGOaBcjUJz585lfL/MzExWu/j4eMb3a6qp1xR3796l7ezs7HDx4kXW61JZWUnr1nXo0AHbt2/ndKCXLFlCs1R+fn6cv+X9+/d0N36XLl1w6NAhQc2svwKtTtXfhJZGhPX19S1SFQcaFbkLCwsFP/vXX3/FpUuX8ObNG17hvNLSUsTExODEiRO4e/cucnNzWRc1qqhw6dKliI2NxfHjx5GWlobMzEyZzpuUlBQ4Ojpi0qRJmD17NpYtW4YNGzYgMTGR8V2obg59fX2YmJigR48esLKywsyZMxlRiUQiYTg3VFS7aNEixkPZ0NAgo/ZtZ2cns/Gmp6fTQpxU1Ns8PfDw4UN0794dGhoacHR0xIABA1gj89evX6NPnz5QV1dHREQEevfuzbpQHD16lFY7Lykp4VRkJwiC4XiwfY68vDzn+wDg5+cHExMT1u979OhRvH//HqampjAzM2PtFoyNjYWFhQXdgr9161bW+23VqlWQl5dHt27doKqqiq1btzLunbq6OoYavYGBAXbu3Mmo26qvr8eKFSsYqSUdHR0ZJuD69eswMTFhXFuRSCRTjHrz5k04OzvTavndunVD+/bt4evry3AI3r9/j4MHD2LLli0IDw9HUFAQPD094e7uzhoRl5WVITMzE9euXUNCQgLWrFnDuck0xefPn3kLiv/p+KMio+fOnYOxsTHi4+Nb1BhBFcr7+/sLKtS7uLiAIBrVyvnO6efPn2kHyM/Pj/d7TJw4kV4D+K5nbGwsCIKAlpYW74BmSildXV0dBw8e5Fynb968Sd/rfLVp9+/fpwMcPtXwp0+fgiAI9OnTh7ee6M2bNxCLxRg2bBhvmqyoqAhaWloYNWoUr51EIkHfvn1hb2+Pa9eu8e5L4eHh6Ny5M/bu3cvbkUw1FsyePZuXEQT+0/V88ODB/4ozRaHVqWIBSZJYv349zp49KzhW4uDBg5g9ezYSExM5owug8eawtLSEr68vdu7ciUePHrF2+ZEkCUdHR3Tq1Alubm6IjIzE2bNn8f79e5mblGoNbtu2LQYPHoxZs2YhLi4Ot2/fpm1JkkRWVhbU1dXpFE3nzp3h5OSENWvW0Jt+Q0MDMjMzafqdesnLy8PFxYVmgWpqavDgwQMsWLCAYUcQjXU/lAZTeXk5rl+/jtWrV9PF1tTL19eXbj3+8uULkpOTMXv2bIb6uYqKCtavX0+fo99//x07duyAk5MTI0rs2rUrYwTFr7/+isWLF9O1SG3atAFBEFiwYAH9WSRJ4urVqxgyZAgIgoC9vT0mT54MS0tLRmtwfX09Vq9eDXl5eYwYMQLv37/HnTt3WFuXjx07BjU1NVhbWyM7Oxt1dXV4+fKljN2+fbbac1YAACAASURBVPsgJyeHsLAwzkWHJEnY2trC2dmZ/h5s4HOqqH/z7t07KCgoYOfOnax2QKN8QI8ePdC5c2cG20d9l6tXr6K+vh6rVq2CSCTC6NGjZboKqQ6j6upqLF++HGKxGHZ2dsjIyGDYrFy5EgRBYObMmVBUVISuri4iIyMZEfy1a9foe0EkEkEsFsPFxQU//PAD7YRVVFRg3rx5jPvK1NQUISEhuHHjBn2tMzIy6OtMvYYMGYINGzbg4cOHkEgkIEkSSUlJMor5NjY22L9/P16+fAmpVIrKykosXbqUcf9RrMrVq1dpB0wqlSI9PR07duzA3LlzMWzYMOjq6oIgCMGi2ZKSEpw8eZKzqPj/J6Snp7dY/fyXX36BlZUVZ6qoKX7//XcoKipi9erVgp+/bds2qKqq8tbrAI3nXVFRER4eHpypN6DxHrawsIC9vT1DC44Nzs7OGDZsmMwz1RwTJkzA5MmTBbshPTw8sHz5ckEHddasWdi3b5+gkvzatWtx6dIlwaD85MmTuH37Nq8N0DgWLDU1VfDzqqqq8MMPP7To3qCmbwjhw4cPOHjwYIvvt78S/3qn6tmzZ7h8+TJ+/PFHJCcnIzExEQkJCTRlTNWJLF68GDExMThy5Ah27dqFjRs3Ijw8HDNmzGAssCYmJnBwcEBwcDA2btyIpUuXws/PDy4uLtDQ0GDYKioqYsyYMVi1ahWCgoLg4uICa2traGlpMeyUlZUxbNgwLFiwADNmzMCwYcNgbGwsM1tOT08Pnp6eWL58OaZNm4Z+/frJHJMgGnPsy5cvx3fffQdfX19YWVnRQoBNX7169cLevXuxY8cOzJw5E3369KE3FKoQkSAIWFtb48qVKzh27Bjmzp0LKysretRHx44d6c3K3t4eDx8+xIMHD7B48WJYW1tDTk4OcnJysLW1pRmo8ePH4927dygoKEB0dDRsbGxoB8nd3R2HDh2CmpoaQkJCaB2vnTt30jPrjI2NsXLlSmRnZ8PX15dRC3T9+nXaztHREbdu3QJJkrh9+zaDIczOzoatrS2UlJQQFxfHGaXX1dVh5syZIAgC8+fP5y2s3blzJwiCQHh4uMzC0/T/T548CYIg8PjxYwDg1OjZunUrZ03VpUuX6Blm8+bNg6GhIW83X2FhISwsLGBsbMyZHgEaUzSdOnWCrq6uzFyxpr/h2bNn6NevH8RiMcLDwxnnj4pO8/PzsXz5cmhpaUFFRQXz5s2jN5aCggI4Ojri9OnTOHLkCEaNGgWRSAQ1NTVMnz6ddt7T09PRpUsXuLq6YsmSJejRowcIonGsjqenJ44fPw6SJHH48GHo6+ujbdu28PT0pJ0cTU1NuLq6Ij4+Hnl5edi4cSP9zFhaWtLPhba2NsaMGYM1a9bg4sWLmDFjBn2PN3WyjI2N4eLigrlz52Ls2LGMeiLqme/WrRucnJwwe/ZsrFu3DmvWrMHy5csZAqBz587FsWPHkJycjDNnzuDChQu4evUq49rU1NTg9OnTMteoqqqqRbpwQKNz2lIWXWiTpvA/qZd79epVi9mF48ePc3a8NUdAQECL2MEjR45g586dgt/9+fPniIiIEPyu+fn5iI2NFWT3ysrKeNv9qe9TW1srKJsAgJYx4LNrGnDzoaXMZEvtqPFRf+Zn/hH29O+q4/zXO1VUwWFTZkZFRYWhWkwQBNq3b09HzlpaWnQtysCBA2kbJSUlTJo0CWKxGIqKimjfvj2srKzg5OSEKVOmwNTUFATROAtu6dKlcHNzg6KiIjp37owhQ4bAy8sLixYtomt8TE1NsXnzZpw6dQry8vIwNTWFo6MjZs2ahfXr1+PIkSMQi8UwNzfH/v37UVNTA319fXTs2BGjRo1CcHAwduzYgRs3bmDUqFHo1asXEhMT0dDQgNDQUOjp6WHkyJEIDQ1FQkICHj16hISEBPTs2RM//PADpFIpHj58CFVVVQwZMgQLFy5EYmIisrKyUFZWxrADgJ49e8LW1hYLFixAUlISnU6aM2cOkpOT6Zs6MjISZmZmmDt3Lk6dOkWnDC9dusQQpsvOzoa+vj4CAgJw/vx5mlWrqqqSSYsNHz4cPj4+uH79OuNBa8407tixAy4uLoJdIR8+fICDgwNnjQEFasjyyZMnWd9rmlJLSkrC2rVrZWxiYmIYEVZGRgatgH7q1CmYmpqyHjsqKgoikYg1XXzt2jV06dIF5eXlyM/Px+rVqxkRLtsA1aKiInh5eQkKppaWlmLatGmsacumkEgkiIuLw4wZM3jtysvLERsbix49ejDSbVKplBG9UxtV3759sW/fPvrvVVVVjI0pOzsbcXFxcHBwYKjNl5SUYOHChbSGTkZGBuLj4+Hq6gpNTU2aPf306RPmzJmDc+fOoa6uDg8ePEBcXBwmTZqEDh06YOPGjQAa2Wdvb2/MmjULeXl5uHDhAtauXYtJkyahW7dusLKywtevX7Fx40Z06NABWlpaOHjwIFavXg1fX18MHTqUZuSaB1LUZIbmgc7SpUtRVVWF2NhYGBoaYvTo0Th8+DCWLl0KFxcXmJqaQk5OjlZUb4rmKc9FixZBU1NTsJi3rq4O8+bNg5eXl+DG9Ntvv8HOzq5FTl1ISAh2794taPfgwQNMnDiRrivk+g51dXVwdXWlgwmpVMoZ5KxduxabNm2i/5+L/Xn69ClcXFzoZ4xLQ7CmpgajR4+mWXO+87Rq1SpERkZyvk/hzp07GDFihGA5yNevX2Fvb8+pA0WBJEmEhoYK6mQBoOUQhDp68/Pz0a9fP0GNLqlUipCQEAQGBgoe+9q1a+jTp48gc1dcXAx7e3vWwKI5vvvuO3h7e7cqqv8dTlVZWRlKS0tRXV3NiMQWLFgAS0tLREdHIzMzE7W1tawq6KmpqRg+fDgOHDhA08bl5eUydvX19Zg2bRpOnTpFP5g1NTWsF/nw4cO4ePEivQg2NDSwRkZv377FpUuXGIsl10OflpbGsOOiSX/77TfGeZBKpawRalVVlcxncEVvzf99SyNe6vgtQUsflj/zoeL7rPLyckyZMoU33VNfX0+zmGzIy8ujp8izgaorYRP0++mnn+g6EjasXLkSvr6+vK3Jf3eH3h853p8dybLdk1z3c/O/cylZN5epOH78OKvDWldXh9raWqSlpWHevHkwMjKiO0slEglqampQXl6O9+/fIzo6Gnp6egxHS0FBAb1794anpyeioqKQkpLCCAZIksSqVavw/Plz3Lt3D5MmTYK8vDwMDQ2xdu1a3uLx3NxcDBgwAG3atBHUrvry5QvMzMxgaWnJm0ID/qOzxiVGSaGmpgY9e/aEg4OD4P0RHR0NZWVlQYfu2bNnEIvF2LJli+Cxzc3NYW9vL7hmzZkzB2pqaoLHpljoPXv28Nq9fv0aOjo6cHFx4WXFKioqMHDgQBgZGfHWHFEOlUgkwrFjxwS/o4KCAnx8fHjTadnZ2ejcuTO6du3KWTAPNLJsnp6eUFBQQGJiIu+xExMTIRaL4eXlxVtrlZubC3Nzc3To0IG1zIICSZJYvnw5CILAtm3beI/9Z+Ff71RxoSXjVwBu56QV/3shkUhw/Phxzvbs58+fw8zMDEZGRpyLcUVFBcaMGQOCILB161aZ96VSKRwdHUEQBGxtbWXer6qqojtdpk6dKvP+48eP6U2XTQrh0aNHIIjG4n22ERNFRUVwcXFpUY1LK/5cSKVSmTqcqqoqrFu3Du7u7rCysoKmpiadvuQbT1JTUwMvLy8QBEGnRvv27YujR49yBmCUUGNaWhr09PRgZmYm09HZHJWVlbCzs0PHjh15vw/QyAJraWnB39+f1w4Ali9fjjZt2ggWKb98+RKKioqCMy7r6+thbW2NgQMHCjpKoaGhUFNTEzx2UlISCEJYMDUjIwOqqqqCbM3nz59hamoKGxsb3vqp2tpaODo6QkdHh5dRJ0kSISEhvA4VFXwcPnyYHhPDFpBQ98yTJ0+gr68Pa2tr1kCBUkkvLS3F8OHDoa6uzslmUYHd5s2bQRAEFi5cyHpsaq/NyspCx44deUfUSKVSSKVSBAcHQyQS4cCBA6x2fwVanapWtKIJpFIpfvrpJ7qeqfl7ycnJMDc3h7a2tkynI0mS2LdvH+3scNHshYWFdJ0YQRCsC+KWLVsYhdXN8eOPP9Lvt23bVmaDyMzMpN/X0tKSKfYkSZJOaRsZGbF2O1HjbiZMmMD6HfPz83HlypXWwOK/hJKSEjx9+pSTJfj8+TMGDRpE3weampr0AHIuFBcXo3379vRYE3d3d95mncePH6OhoQHjxo1D27ZteVkDiUSChoYGDB48GN27dxcsuH78+DHk5eUFGQapVIpBgwbB2tpasNZp7dq1UFJSwqtXr1jfp87NjRs3QBDcKuTUKJS3b99CXV2d11EqLi5GcXExTE1NeQdDv3r1CtXV1RgwYABMTExkmkEoUI0j7u7uUFdX5+xUTE9PR0ZGhqBDlZeXh9jYWLrmc8mSJaz3SENDA3x9fZGamgp1dXU4ODhw3htLlizBzZs3YWFhAQMDA845mk+fPkVkZCTCwsJAEOx6fUDj+fbz88OjR4+gq6uLfv36cTKsV65cwfXr1+Hn5wexWCzIhv7ZaHWqWvGvQHV1NW7fvs06TJRypIKDg2FkZCQjmUCSJE6fPg0LCwt6g2Jb6Lds2cIo+Gcb+iyVShEeHk6ncIyMjGQWMIlEghMnTqBnz57Q0tKCk5OTzOf88MMPWLRoEUQiEfbt2ydTXP7u3Tuoq6tDTk4OwcHBDG0uCnPmzKG/69ChQ2WivqqqKhgZGdG1hH5+fjLOWWBgILS1tTFjxgxcuHCBlbLPzMxsVVv/m/Hq1Su6hrNpcTxb7R8FajAwdU+sXbuW1wGrra2FsbEx3N3doaKiwnqPUZBIJAgNDaW7gfmGVaempiI7OxsWFhYYMmQIZwqXJEkkJydjx44dkJeX5xyFAjRqqb148QKKiopYv349p92xY8fw9OlTdOjQAW5ubpy//969e9i+fTv69u0LS0tLTo2lDx8+wN3dHU5OTmjfvj2no1RaWorOnTvDzc0NmpqanMxTXV0dOnbsiCFDhkBZWZlTcoUkSdjZ2aFz584QiUS8w4SnTZtGM59r1qzh/M1bt26l76dJkyZxpudevHgBsVgMsVgMMzMzTqZPKpXCzs6OtuVLDR4/fpxu2nJ0dOQsxm9oaKCD3r975h+FVqeqFf9YSCQSTrG8wsJC3L59G/v378fSpUuxe/duxmKQm5uLH374ASEhIXQXmqmpqcwU+f3799OOA9VE0NymrKyMHglDpVHY2JmKigqYmZlBSUkJvXv35lyc3r59C2VlZVhbW8PX15fV5vPnz5CXl0diYiLnKIrExEROSYWvX7/i3r17GDZsGCZNmsRqc/XqVejo6EAsFnNGiPv27aN/t7OzswwrUltbiwEDBjDYkLCwMAZjkJ2djQ4dOsDU1BSenp7YtGkT0tLSZOpu0tLScPXqVbx69Upw7mAruEGSJC5duoS7d+/i48ePLa4rS0hIYNRqjR07lreT7MCBA7Tt3LlzeW2vX79OO+fx8fG83yMwMBB6enqC9VGZmZlQV1eHmpoali5dymlHkiQ6dOgAPT092Nra8rJZY8eORZs2baCvr8+rlRUUFAQ5OTkoKytzsl4AaAkRgiB4R8pQqS+CILBu3TpO9nfPnj20nbe3N2eqtels0L59+3I25jx48IC209HRQUJCAuu6VVBQwOgkX7BgASvTSJIkBg8eTNsNGjSIM3Xc9Lfo6+tzsoLl5eWMNTogIIAzSNuxYwdtZ2FhgbS0NFa7vxKtTlUr/jCqqqrw/v175OTk4M2bN8jKykJmZiYyMjIY+fWGhgacOXMGhw8fxs6dO7FhwwasXLkSoaGhMjPz9u3bh2nTpmHUqFGwtLREu3btoKenJzO37sSJE3RURb18fX1lFqHHjx8zHkRjY2NWXZmsrCyaNZKXl2eN/IqKimBjY4N27dpBXl6ec3GcNm0a2rZti59//plz4yBJEqNHj0bPnj1RVVVFSwM0x+7du6GsrMy7UbVE/HPnzp1QUVFhVWSvq6tDSkoKoqKiOFMiDQ0N6NGjBywsLCAWi1k7bT5+/EiPtJGTk2O1efv2La2gTHXKNles/vLlC0NTSk9PDzY2NjIFxampqXB1dYWPjw/mzZuH8PBwWu6kqQPx22+/IT09Hffu3cPDhw/x9OlTvHjxgk6ztOI/yM7OhpqaGtq0aQM/Pz/cvXuXl6WSSCSMsSUuLi68tUd+fn60rYmJCe88OCotraSkBH9/f04Ho+lMwd69e+P58+esdpQYJuU4cNXXlJSU0COXFBQUOGt7amtroa2tTX+mm5sba8NHfX09rZdHEI1jZdjEZOvr6+mRO1S6na2mt66ujiF6O3XqVJkAEGh8ZqlrIy8vj8DAQFbni2KKKPZp7ty5nLXElHAvpWrOdf2ajtsZM2YM0tPTWe+jz58/0+fQxMQEO3bs4AykKEV1OTk5eHh44OnTp6x2X79+pccMaWlpYc2aNYI6k38FWp2qvwlFRUW8GkYUiouL8eOPPyIjI4NzkjvQ+EDExMRg06ZNOHz4MK5evYpnz56hoKBApr5m//79GDduHLy9vREUFISlS5di3bp1DDkEoLF4uUOHDjAyMkKnTp1gZmaGXr16ITg4mLG5V1VVyYiEEgSB4OBgmehl48aNDBt1dXUZKpokSZw8eZLW/SGIRo2g5ot0VVUVtm3bxnCqvv32W5mH9vXr13B1daVtDA0NZdJjVP2TqqoqLC0tYWRkxNoNlJ+fj169esHY2Bhv3rzhLIQ9fPgwCIKg6WYudiA5ORkEwa+UDgAODg745ptveG2OHj0KsVjMa1NYWAiRSMRbRFtfX4++ffuif//+rFH8hQsXUFxcjMDAQIjFYpw6dUrG5qeffoJYLKbV6UNDQ2Xu95ycHIZj5eLiwhAHBRo3rOnTp9M2IpEIe/bskUk1pKWlMTYsgiBkBE6rq6uxcOFCGWmCb775hvE7v3z5Aj8/P9jY2MDCwgJmZmYwMTFB9+7dGer6UqkUX758wa+//oq0tDScOHECW7duxYoVK1gHa7PhnzjzsKGhASEhIdi7d2+LNyGqi01I3RtoLESmWA57e3veJqCmDtD48eN5gwpqxqaGhgauXr3KaRcVFUVvyjExMZzf9ciRI/Sxw8PDOQvZKRZIJBIhKiqK046abaeiooIdO3ZwrgnUsGAjIyNeeYC9e/eCIBpV5PlSrdTA9IkTJ/JqWx09ehQKCgoICgriFdj86aefaB05PsHToqIitGvXDt7e3rzpXaDRye7VqxeOHj3KW5P56tUrKCsrY9q0abz1ekBjY4GGhgZWr17d4qkkfwVanSoWkCSJ7777DmfOnBG8OHFxcXB1dcXatWtx7do1TvvXr19DTU0N3bp1g5ubG8LDw3H8+HFkZGQwbqrq6mpGcSlVlDdz5kz6xpdKpXj9+rWMojRBEBg4cCCtlVJdXY1bt25h1apVjI1FXl4eISEhNIVaVlaGs2fPYs6cObSnT3n7e/fupReDr1+/4ujRo/Dw8GCIGnbq1IlBsxYXF2Pv3r0YPnw447j9+vVjbFJfv35FfHw8evbsSUeRBEHAy8uL4Zx9/foVa9asga6uLpSUlODp6Qk5OTls376dcY6LioqwYMECiMVi9OzZE5cuXYKlpaXMw/j582e4urpCTk4OixcvRm1tLet4iPfv36Nr167o2rUrvZiwLcjUKIXQ0FDWa0+hrKwMhoaGmD59Oq8d5QhRBZZczvWRI0d4mSrqXhw5ciTc3Nx4j/nixQsoKCjw1ptIpVLasWKrzTl06BBIkkRCQgLU1NTQq1cvmcU1JycHHTt2xJ49e2BpaQk5OTn4+voyFmvq+aOca3l5ebRr1w6RkZEMJrSwsFBmpmD//v2xY8cOBiNw8+ZNhlp6mzZtMHHiRCQmJtLnqKamBpGRkQz1//bt22PJkiW4du0aqqurUVtbi/j4ePo+bRoonDt3TiZVXV9fj2fPnuHAgQOYM2cO+vfvz9qJ+d/GH3X0SJLEwIEDsWzZshaNn6GckMWLFws2NURHR4MgGoul+brzysrKoKCgABMTE8HOxH79+kFNTU2wvsbV1RVqamqCukdubm4wNDTEzZs3ee0cHBwwcOBA3hQmSZKwtrbGvHnzeGUo6urqMGDAABw8eJA3nVtZWQlvb29BcdS6ujpER0cLqsIDjXVmXLVgTXH37l1eaQUKRUVFOH/+fIvS0klJSTJjw9iQn5+PqKgomeah/wb+9U7Vb7/9hp9//hk3b97EpUuXcPLkSRw5coTWABKJRLC1tUVwcDA2b96MY8eOYffu3YiOjkZwcDBjWCf16ty5M0JCQrBmzRoEBATA0dERXbt2pdWSqZeVlRWCg4OxdOlSuLq6okuXLjJRtYaGBhYuXIh9+/ZhyZIlGDFiBB31ycvL0/bm5uY4deoULl68iG+//Rb29vb0BmFkZESnwpycnJCZmYlnz54hOjoagwcPpr+XtbU1PX/L29sbBQUF+Pz5M7Zv346RI0dCLBZDXl4eI0eORFxcHE0tl5eXQyKRICkpCa6urlBQUICSkhImTpyIU6dOwdnZGUuWLKG7Xh4+fAhfX18oKyujTZs2mDlzJh49eoRdu3YxIsnCwkIsWrQIampq0NDQwPLly1FYWIjff/+dMXOroaEBcXFx0NbWhq6uLr7//nuaiWgeFV+6dAnt2rVDhw4dBOdiGRsbo1evXqySAxRqampgaWmJvn378uqqAI3aZ9ra2oxaDTYanUrZVVZW4syZM5yL95EjRyAnJ8e5GH///ff45ZdfsHfvXigpKQmyEN999x0UFRU5BycDjY5VUFAQp2NFIScnB/b29lBQUMCGDRtk0nJlZWWQSqU4evQoOnXqBEVFRYSGhjIWxZSUFJw6dQq///47vv32W2hra0NRURHTp0+nGS6JRILIyEhMnz4dV69exZQpU6CiogIFBQW4u7vTLEp5eTkCAgKgpaWFHTt2YOTIkZCXl4eCggKcnZ2xZ88elJaWIisri2ZAJkyYQKdRlJWV4eTkhE2bNuHx48dYuXIlPQKJ6vakAgwPDw9888039Ggo6iUnJ4dx48YhICAAK1euxI4dO3Dy5EncuXOHdk4kEgl+/PFH1oaKysrKFkfgf0QL7o/i06dPgo5MUwQEBAgKxVKwt7dvUfv76dOn0b9/f0Gh2vz8fHTq1EmGEW2OsrIy9OnTR5ANKSoqwoQJEwRnE7579w4bNmwQvA4fPnwQFCIGGtnUlrCIdXV1/0g29N+Ef71T1VxRnXJWmo9t6dKlC8PR6dKlCwYOHEg7X5TNunXroKCgQM/YGzFiBPz8/BAVFUVH3V5eXvj5558xbdo0WhHdw8MDERERSEpKQmRkJLS1tREVFYWSkhJcvnwZIpEIvXr1wvTp07F9+3bcv38fubm56NixIxISEiCRSCCVSqGjo4Nu3brB398fhw4dQk5ODq363ZSmnzdvHgwMDODr64vExERavTYlJQWXL1+mz8+9e/egqqoKDw8PHD16lN70vnz5wqDcSZJEly5d4OjoiISEBMZG33yhWrFiBSwsLLBz506GXfM6lxcvXsDAwAAbNmzgjeKkUikGDBiApUuXCooObty4EV5eXoLdaM+fP4ejoyOvMCLQ2LUzZcoU1tEuv/zyC6NOID4+HocPH6b//+nTp5g8ebLMv7t+/To2bdqEsrIytG/fnjO1kZqaCjk5Oc4Na/369bC3t8fnz58REhLCUCi+efOmzOLb0NCA6dOnc9amUJBKpZg3bx4OHjzIayeRSLBu3Tq4uroKdpFt27YNHTt2lHGCm/67qqoq7N69Gz179pRhKZv+u7KyMiQkJGDYsGEYNGgQw+7ixYs0W1JUVIRDhw7B1dUVysrKdLqZJEkcOXKEPu/v37/Hvn37MGnSJLRt25ZWxc/Pz0dgYCACAgJQWFiI8+fPIyIiAmPGjIGuri66d+/OYGLV1dXh7e2NESNGwNzcnMEK3717F1u3bqXXmblz5yI0NBTu7u7o27cvzY7xFWQDje3xCxYsgLm5uSArVFdXBy8vL5m6RTbcvXsXoaGhnHIAFCQSCQIDAxnda1xByf79+xnPQ1VVFWsaNScnB/Pnz2ekAi9duiRTg0OSJObNm8foun327BmrMveePXsYqvy///47q9Py+vVr+Pv708cuLS3l1FCaOnUqzczy3e8xMTHYsWMH5/sUHj9+DA8PD0E2sKysDOPHj+esNaJAkiQiIiIEtbwA4NatWxg9erRgw8iXL1/g6OhIq9jzHTsqKgorVqwQPPaDBw8wcuRIwbW8qqoK7u7ugvM0gcYmjODg4FZF9b/DqcrNzUVOTg4KCgpQVlZGL0RhYWGwtLTEunXr8PbtW1RUVCAvL0+GjUhPT4e3tzdDsTw3N1emNkUqlWLdunWM3HVxcTHrInX//n3GA15bW8uaAiopKZFxRLiimebfp6WK2XyjHpqjpXZ/JJpqqQbSXzmXjA1Pnz7l/b3JyckYPHgw5/s5OTlo164db8qQGlp9/vx51ve///57EETjzEE2hIeHgyAIHDp0SOa99evXY/r06YLs2p+Bv2K2XEvvi5b+vpZ2G0okEhlbNtaCJEnacSdJEunp6fDx8ZFxGl+9eoWAgACZGZ3a2tqwtbXFxIkTERYWhq1bt+Ls2bMydYZUivj9+/cICgqCoqIiDA0NERsby/vba2tr4eLiAjU1NcFhuZWVlejatSucnJwEr+XBgwchEol42U6g0Tlp27Ytli1bxmsHAN7e3ujatavgNafa7rmaPyh8+PABqqqqCA8P57Wrr69Hv379YGVlJehMhoWFQVlZmVVGpSlOnz4NOTk5zm5bCllZWdDV1cXIkSN5r2NZWRkGDRoEfX19XvaQEsKUk5MTVHNPTk6GUdmtAAAAIABJREFUoqIi3NzceBs63rx5g65du6Jjx46817u2thbTpk2DSCQSdCbPnj0LFRUVjB49mree7uvXrxg0aBC0tbUFmT6qy3D58uWtTtV/s1C9JZOxgX9m4Wkr/ueoqKjgLTr++vUr5s6dyylTIJVKERERAYIgEBUVxWrz+fNndOvWDQRBcKqyP3z4kE7tshWGA43zDgmiUeKBDaGhoSCIxnbl5mmjX3/9FQTR2PLMFslfv36dd1FrxZ+DsrIy3Lt3D3v37sWCBQvg4OAAfX19VgazKajxG3p6evD394dYLIaxsTF27twpGNzU1NRgzJgxUFdXp+sv+RAcHAwNDQ3BNbGyshJGRkaYNWuW4GeuWrUKmpqagozxkydPQBAEkpKSBI/doUMHwTmTJEli3Lhx6Natm+B5Wr16NZSUlARTnVTRvhBz++TJE7Rp0wYBAQG8+waVgejXrx/vMyjkUFHHoEQ7xWIxZ8MK5bDGx8dDTk4Oc+fOZQ1yKCfrp59+Qtu2bWFjY8PKRFKBR3FxMYYNGwY1NTWZAewUKId1586dEIlEmDlzJqsDTZEW+fn56N27N4yMjASvDSWxEBER0TpQGf9lp6oV/7uQm5uL/fv3c0Z9BQUFWLFiBfT09FhpdJIkcejQIVp+gU3FuKKiAu7u7jTbwBa1VlRUoF+/frTNjRs3ZGwaGhpgbW1N27AJ9xUUFDDq79g6qmbNmkW/v2DBApnfQ4lDduzYUSbld//+fbRt2xYrVqzgrFvh605txf8bPn36xMncSSQSxrU1NjbGvn37BNmUI0eOoLKyEs7OztDQ0GhRLU9aWlqLHAagsctOVVVVsKj506dPUFVVxbp16wQ/08nJCba2toJFzREREVBTU+OtfwT+030rpF/04MEDyMvLIy4ujvV9qtzi9evXUFdXR0BAAOdnff78GXl5eTAyMsKIESM4r9PTp09RVFSEnj17okePHpylB0lJSbRDpaenx+lY7Nu3Dzk5OXBzc4OysjIuXLjA+Vu///57LF68GARB4LvvvmN1QEpLS+Hj44Pjx49DUVER48eP50xN+vv7486dO+jevTvat2/P2Q34+PFjbNq0CcuWLaMDUS7nZ9myZXj79i06d+6Mbt26yYxyovDq1SvcuXMH8fHxIAgC0dHRrHZ/FVqdqlb8Y/Hp0yfOvDpJknj58iW2bduGOXPmsEa8xcXF2LNnD4YNGwaRSIQzZ87I2GRlZWHWrFl0DV1YWJiMTUZGBkPQjk3hvLa2Ft7e3hCLxXTBMtvicO7cOXqmH0EQrNH/69ev6TE1BgYGrOm71NRUmhELCwtj1c6aMmUKTExM0L59e+zevVsmMg8JCaG/R58+fWS6bIKCgkAQjXpBgYGBMnVjWVlZsLOzw8KFC5Gamsq5WQht9q1oOWpra+Hh4cFIFerp6fGqiQON9WOampowNzeHlpaWYIrs7Nmz+PjxI0xMTODi4iLIrOTn50NVVZV3AysrK6PlG/T19Xmd8k+fPuHatWsgCEKwoeT9+/dQVlbmrRW6desWvn79inbt2nEOGQca03PZ2dno2rUrRo4cyenMXblyBYcPH4aFhQWsra05Wa+ff/4ZPj4+6Nu3L8zMzDiZuZcvX6Jr167o378/jI2NOVnB3NxcKCsrw8rKitehKikpga6uLtq1awd1dXWkp6ez2jU0NMDKygoqKioQi8Wsaw2FoKAgWvYmODiY0+lPTU2la5P79OnDKaEhkUhgY2MDJSUliMViTvFPoPF8E0TjSC5ra2tWdp2Cq6srunfvDoIgeLuZ/yq0OlWt+FPQ0NCAvLw8Ttr23bt3uHr1KrZt24aoqCiZBbW4uBhXr16lh8YaGxvD19eX8eCWl5fj2LFjmDFjBi2Wp6GhIdPZU1JSgkmTJtFCfgRBYNGiRTLfKzc3l9GSb2xszLrQFxQU0F2RfFFuZmYmFBUVoampyVsrNXz4cAwbNgyjR4/mXLSPHz8OeXl5fPz4kbNegRqKzNXG/OLFC5w8eRJycnKsrcbUDC+uiPzr16/Q19enf7e7u7tM/dCNGzdoR1JdXR0eHh44ceIEYxNOSkpCnz594OPjg5iYGFy/fp01Cs/MzER+fn6LFcD/baitrUVYWBgmT56MqKgopKSkIDMzs0VOK5UKJggC/v7+gmzSmDFjYGhoiLZt2wqyP0OGDIGLiwvat2/PW5t25swZzJ49G4qKirzz/KqqqtCvXz9YW1vD2dmZ99hWVlYYNmwYunTpwlt7NGLECPTu3Rt6enqsApwUJkyYgLZt20JLS4tXT2vy5MkQiUTQ1NTklRGYMmUKCKJRTJSvkHzq1KkMZprLiZ05cyZtt2TJEk4nren1dnZ25uxqjIuLY3Sts3WdAo3pPspOUVERkZGRrJp21dXVjKau0aNHcw49psbeEASBDh06MDq6m6Kuro4hNBsWFsYpnZCenk7b9ejRQzB4+CvQ6lT9LwdJkqiqqkJ5eTlKSkpQVFSET58+IT8/Xyatc//+fSQlJWHv3r2IiYnBypUrERwcjAMHDjAe8vT0dMyZMweurq6wtbWFoaEhlJSUsGPHDoZdVlYWbG1tGZ2UnTt3ltFtKSwsxMCBAxnR9/Tp02UiIYlEgqVLl9I2CgoKrA5OU50jqm6Izdn7+vUrhg4dSqfRuHRskpOTIScnB1dXV9jZ2XEOG7W1tYWNjQ0eP37MWfx7//59EASB69ev825AM2bMkOlcaw5qoeMaVQE0ducQBMGqvVNfX4+EhASsXLkSKioqrB2MiYmJIIhGaZHRo0ezOp2UKCFBNAodsg2jPnnyJMPJFYlE2Lt3L8OGmrkmFothYmICe3t7eHl5ybTYX7lyBcuWLcPatWuxbds2HDp0CKdPnxYcFvxvRU5ODn3u27Rpg/DwcF5phrKyMlqORVtbG6tXr+Y8r5WVlbQkS58+fXiZjlWrVtHXf+HChZyO3d27d2m7cePGcbIsnz59ou2srKw4BwaXl5fTv79Dhw7YvHkz6+8pLy+n1ypq9A2bg19cXMzQM/P392d1MPLy8uiAgyAI+Pj4sBZ+Z2dn0wyQSCTi1KzKzMyk7VRVVREREcHamPTy5Uv6uHp6eti0aRPrc5ubmws1NTUQRKPsTkxMDOvn1dbWMrQEV61axVkSQKXx5OXlMWXKFM5hz02PbWxsjNjYWM76sU2bNtHncODAgbh06RLr9ZNKpYzSim+++YZzhuJfiVan6m8CV6dfc+Tm5mLXrl04c+YMHjx4gPfv37NGYFVVVfDy8sKYMWMwceJE+Pr6IigoCGFhYQxmgyRJBAcHMxwWgmici9Q8crp79y5jEZCTk0N4eLjMgpGTk8MYAdO2bVtWiv7BgwewsbFhLHzNF1KSJJGSksKIRGbMmCHjUNXX12Pjxo1o06YNvfCx1RqVlZXR0eHo0aOhq6vLGnG+f/8ePXv2hJGREVJTU+Hh4cFyNRqlBxQVFREUFASpVMrZOrx27VooKioKFk5OmDABNjY2vJs/SZIwMjLiLHSnQKVHhATvLCwsZGqqmqK2tha9e/dmHV5LkiRcXV2Rnp4OXV1d9O3bl3UzpKbM6+vrw8DAgDXVev78eXozUlFRwYoVK2Qi7YKCAnp0BkE0jsU4f/4843yRJIlt27YxNjaCIGS6mp49e0bXpsnJyUEkEkEkEsHBwYGxueXl5eH8+fM4evQotm/fjjVr1mDRokUIDAzkTTM0Bd88uf82Jk+eDAUFBcyfP79FIo4//PADI7jhK+i+desWbWtra8t7LzZle7du3cppR9XCEESjKjhX11/T+XZOTk6c9T0//vgjbcdXB3TixAnaLjAwkJP52r59O31vbtq0iZNZpbpvDQ0NWZ8HChT7NHjwYN7uwQkTJkAsFmPu3Lmc15EkSTg7O0NfXx8xMTG8cgweHh7o3r07Dhw4wMvyRUZGwszMDLt37+YNBH/55Rfo6OhgyZIlgk0N7u7usLS0FFRUz8vLg5qaGoYNG4YbN27wrpvU9XN0dPyvMFQUWp0qDty4caNF3U/79u1DWFgYUlJSeOnijIwMtGnTBt26dcP48eOxZMkSHDhwAHfv3qVvaJIk8eHDB1hYWMg4QVOmTKGjgy9fviAlJYVRm0MQBHr16kWPPyFJEs+ePUNkZCT69OnDYAhWrFhBH1MqleLWrVvw9/dntHXr6ekx9JGkUimuXbuGCRMmQCQSQUtLiz5mU/qbJElcu3aNFlDs27cv3RrcPApKS0ujIwtPT0+4urrCz89PxqG6c+cOevfuDSUlJURFRSExMRGbNm2SOcc///wzTE1NoauriwsXLqCoqIhV4+nJkycwMDBA79696Yef7Vo/e/YMGhoa+Oabb3jb/Z8/f06LXPIhMzMTBEHwimYC/+nMEyokPnfuHAiCQFVVFaRSKesCWlBQgAULFsDCwoL3sx49egR5eXnWtAz1uW/evIGpqSk6d+4sM/5CIpHAz88PRUVFdCrD09NTxim5du0aVFRUsHjxYmhra0NTUxPR0dGMe6OmpgY+Pj4gCIKeKWhlZYUDBw4wnKEnT56ga9eu9D2rrKwMT09PnDt3jl6o6+vrER0dzWDJzM3NsXLlSjx8+BBSqRQSiQS7d++Grq4u43mys7NDamoq47xWVlbi559/xv79+xESEgIHBwd0795dMEX238Ljx4/h6+vLO5evOby8vCASiRAXFyfI/K1fv55mEIR0hQwNDUEQhKCcAHXtPTw8eDdcKsXl7u7O6xTMnTsXBNEoPcL3HE+cOBGKiooyMymbo2/fvujWrRsnCwM0psF0dXXh7+/P2+H4/v17mJiY4NixY7zn+t69e/D09ORVZwcau4a3bNkiKBHy+++/4/Tp04Kp9rq6Oly9erVFKfnbt2+3aM/My8vDlStXWsQqHzp0SFDyA/hPTWtLNKv+avzrnarS0lIUFhYiPz8feXl5yM3NxYcPHzB79mwoKChg5MiRiI2NxfPnz/HmzRvcv38fFy5cwOHDhxEbG0sX81Kv9u3bY/To0QgPD0d8fDwWLFiAcePGoXv37jKK6kOHDkVERASWL18OZ2dnurOs6WvAgAG4ePEizp07h9DQUFhaWtKRt42NDeTk5KCmpobNmzejpqYGt27dQmhoKD2Ww8DAAIGBgbC0tESPHj1opuX169cIDw+nB3RaWFggJiYGq1atwvDhw+mUUklJCeLi4mgmyd7eHseOHcOrV6/g6upKP0QSiQQpKSk0MzVixAhcu3YNJEkiMjKSsej98ssvcHZ2BkEQcHBwoBene/fuMR7eoqIiBAQE0NEHtaBUVFQwHkipVIoNGzZALBZj5MiRvBvc5cuXoaqqCgcHB94UyLt372BgYIChQ4fyRup1dXWwsrLCgAEDBHWWpk+fDjMzM0G72NhYaGlpMdiP3NxcmY2D6mSSSCQ4cOAAa83GypUraT0rIRXoFStWoE2bNrxjIQoLC2FrawsdHR2Z+WNNf9fFixfRoUMH6OjoyGwYt27dQklJCUpLSxEREQF1dXXo6Ohg06ZN9GZAkiTWr1+P5ORk3L17F15eXhCLxdDR0cGyZcvoOo3y8nJMmTIFHh4e2LVrF+zt7ek0xbx582jHNCMjA3379oWWlhaCgoLoob0GBgYICAjAuXPnkJ+fj7CwMEbqhEpl2NraIjAwEOPGjWOMaKKY2jFjxiAwMBDr1q3D0aNHkZ6ezqglqaiowPfff896b9bX1/9ldWQt1Y6jUFtbi06dOuH69estsp8wYQKGDh0quJnm5+eDIIgWCU+amZlh0qRJgrpUNjY28PX15WUJSZJE165dBR3EyspKmJmZCYpYPnv2DP7+/oKdr6mpqS0SVX327FmLHJH/xmDg/5/wT1KS/9c7VWyK6i15icVitGvXDubm5oxI2dvbm8576+jooH///vD29sbKlSthaWkJsViMqVOn4tmzZ/D29gZBEOjWrRu8vLwQExODtLQ0xMbGwtzcnFZApxiJ3r17Y8GCBTh79iy+fv2K9+/fY/LkyfSk8rq6OmhqasLMzAzLli3D/fv36cV67969jCg/ICAABgYGWLRoEYNyfvXqFWNzvHHjBtq0aYNZs2Yx2mJramoYG0FdXR2MjY0xYcIEQYZlwYIFsLa2xtWrV3kfhLt378LAwIC3cBNoTIVaWlrKjENhw7JlyzB16lTBVGx6ejrs7e0Fx4J8+vQJzs7OrINLSZKkC7IpXaHmdR8NDQ3YtWsX428pKSmM1F9paSkGDx4scw4ePnyIoKAglJWVoV27dqzjbLy8vODj44Np06bRc77Ky8tZN6La2lqMGTNG8PpVVFRgzJgxnO3mTb/37NmzYW9vz3tdvnz5gqVLl0JDQ0PGoWvqSObn52P16tVo164dNm7cSP+dJEnGvZmTk4M1a9bAzMwM1tbW9N/r6+uxYcMG1NfXgyRJPHnyBJGRkejbty8IgsCrV68ANAYc48ePx8WLF/HhwwccP34cc+fORZ8+fSAnJ4dly5YhLi6OlqSws7PD1KlTMXToUJiYmNDBU48ePfDbb79h0aJF0NTUhKamJrZt24YlS5Zg8uTJGDhwINq3b98iscyioiLMmTOnRd1MFRUVmD9/Pm9BNoWkpCQGm/v27VtWpzovLw9btmxhsHYkScLHx0eGIY2NjZV5Hi5evIg1a9Yw/nbhwgWZaQClpaXw9PRkOFQFBQVYu3Yt4zjl5eVYuHChzH0VFRXFYHPy8vJYdd5OnDjBqDP87bffWFO97969w9KlS+n7kIuNa2hoQHBwcIsYwV27dtGirXx48eIFgoKCBFPLFRUVmDp1quCMPJIksWnTJoaSPBcePHgAHx8fQce2pKQEnp6eguN9SJLE9u3bWYfWN8fLly/h7e3NKzwKNJ7zOXPmtCjVd/nyZaxZs6ZV/PPvcKoyMjJw8+ZNpKen4/bt27hz5w7u3bsHf39/EAQBGxsbREdHIz09HY8ePcK7d+9QXl5OX5x79+6hX79+2LVrF70BZ2RkyGzGJEli7dq1jFxzbm4u60OalZXFcGyqq6tZCwPZGI+W1EwAjUXaLakDIUmyxfPGWhpNVVdXtzgyb2mk3VKFbalUKvhgUe9z2TU0NHCqnFOoqKiAl5cXb41VTU0NJkyYgCVLlnDa1NXVYeTIkQznoDmo4lC2ug07OzuIxWLGYl9dXQ0XF5f/p5TVH5kt11JV85YM5wUaz0lLFNCbOrVC+Pjxo8z1ZmMjSktLaWdFIpHg3LlzMqM3GhoakJSUhJEjR9IBVlNWy8rKCq6urpg3bx42btyIEydOyNQiUeeioaEB27Ztg7a2NvT19XHkyBHB3zx16lRoa2tzdl1RqKmpgYGBAauMSHOsWbMG2trajOexoaFBZuPLzs4GQRAyzhJbLaW5uTmmTZvG+HvTqRYUwsLCoK+vz7jmbMzEpUuXQBDCGlQfP36EpqYmb50h0LimDBw4ED179hS838LCwqCkpCQ4yDglJQVycnKIjIzktXvx4gV0dXUxePBg3ueiuLgYdnZ20NHRYW0QoUA5IARBCDo2x44dg5KSEpydnXlZtNevX6N79+4wMDDgZfjq6+vpjA414okL6enp0NLSgp2dHW9QUFtbi2+++QbKysqMsWpsSEtLg7KyMqZNm/a3dBb/rU4VQRBaBEGcJAgiiyCIVwRBDOSz/2/WVJ06dYq3RoqCkDfdin8GJBIJzehxITc3F6Ghobwb8bNnz2Bra8uphA40Rlo9e/ZE7969OW3KysowbNgwEATBqTRMzWyk6kvY8PbtW7pgm02gkapJaq5yPX36dOjr6/8jahD+t0EqleLt27c4c+YMoqKi6IJgkUjUorTa48ePMWfOHFy/fh29evWCWCzGokWLBGuWAODAgQMgCO5O1qbYu3cvFBQUBNc5qVSKTp06CTohQKODb2hoKBiwUU0WfI4A0JhuVlFREazDqq+vR48ePTBhwgReO5Ik4ebmBhMTE8EU3vLly6GkpCQ4jPngwYMgCELQ4U1NTYWioiLmzJnDG9j9+uuv0NPTg729Pa9T8/HjR/Tq1QsdOnRgZYqoa1BRUYFx48ZBSUkJycnJMnZUh7hUKqWL60NCQlivIRU4X7lyBZqamrCxsWG9fyhHsLi4GA4ODlBRUeGUTKACtB9++AGKioqYMGECrxNbVVWF0aNHQ01NjXPYPIW7d+/Ss2v/rmaSv9upOkwQRMD//W9FgiC0+Oz/N3X/teKPQ4h9kkgkuH79Ou9GVVpaii1btsDS0pKzI6W4uBhLliyBsrIyVq9ezWpTU1ODFStWQCwWQ1tbmzN6TEpKomtuuKKyT58+0SknkUjEyfBR4p4EQXDOSHNzc6Nt4uPjGe9VV1fT7ykoKNDpP+A/YnoikQhr165lRHBv375FXFxcizvfWtEyVFdXC3ZFZWZmQkdHB8rKyiAIAmPHjmVNLTcFtUFnZGRAWVkZixcvFvwuEokEXbt2hb+/v6At5QAJORd1dXXQ19cXnKkHAGPHjsWQIUME7RYtWgQ9PT1BFnP79u1QUFAQLOROSUkBQRCcQ8op3LhxA3L/h73vDovqWr/eM0OZkeaAIKLSRKwgItgLigUVjb33roiK3SgqIqASjQW7MTYEjGKJJcYaa4LG3nsBRIqAdGbmrO+P+Z39Mcwpk3tzvUXW88zzxPg65Zyz937rWhIJb/BUVFQEhmFw7do1mJiY8F7zoqIipKam4tatW5THjSvLq1arcfbsWTx8+BB2dna8DhXDMFi9ejWeP38OZ2dn1K5dW2ddl8X06dPx7NkzKsjNJ0n0448/4ocffkDv3r1hZGTEqw346tUrDBs2DGvWrIFUKhUs0Q0cOBC///473Nzc4ODgwOs8P3jwADExMYiOjhYdJtixYwdyc3PRtm1bVK5cmTcrWFRUhLt37+LGjRuwtLREYGDgFyUg/mJOFSHEkhDymhAiMfTfVDhV/1tQqVS4ceOG4DTH69evERMTg65du/KOId+7dw9z5sxB9erVUb9+fc4N9+XLl5g+fTosLCxACLfGXn5+PiIjI2FlZQVCtHQAXBvZb7/9pkP5MH/+fD0bhmHw7bff6pR6uHifiouLMXToUHpo8j3jT58+xcCBA+l7led0ArQllaioKBgbG8Pe3l6vpPD48WM62DBx4kSd7IVKpdIZjOjRo4dOdBgSEgIjIyP06NEDhw4d0tuUDCmjVuCv4dWrVzpUJe3atTMoE37gwAHcunULdevWRfPmzQWDEYZhwDAM5V5j+8iEMGDAADRr1kzUjtXAE+srevLkCYjIFGxpaSk+fvwIhULBOenLIi0tDVlZWbC2tuYk+GVx9epVZGVlwc7OTlAfcOfOnXjx4gXs7e3Rp08f3md83bp1iIuLg729PQICAngdgS1btmDMmDGoWrUq2rdvz1sK37VrFxo2bAg7Ozu0bNmSN0OVmJgIU1NTVK1aFV5eXryBz9WrV+kQk5ubG6+zmZycDCsrK8hkMlhbW/NmfjQaDfz8/CCRSCCRSBAVFcV7bVjHlR3w4OPR02g0aN26NZ065+MPA/5/Rr5evXqwtbUVpJ5Yv349/P39YW1tjY4dO/7lYY1/Fl/SqfIihCQRQnYRQm4TQnYQQsw47CYQQm4SQm46Ojp+kYtQAW6wJTMuxmC1Wo2nT5/ip59+wuLFi9GnTx/88ssvOjYFBQU4d+4cwsLC0LFjR5iZmaF+/fp6tfKbN29i/vz5aNiwIT1QuDJGv/76qw49hEKh4OxZOnv2LJRKJbXj4l8CtOn4su+3ceNGzuvw/PlzmlkyMjLiLSPm5+fDxcUFEokEPj4+nDaA9lAxNjaGi4uL4EGwbt06yOVyTJo0ibdMd//+fRBC8Pvvv+vpa2VlZaG4uBgODg6cU1dBQUEgRMuQXJ4kr7i4WEd/0MbGBqtXr6abXklJCSZOnIjOnTtj3rx5SEhIwLNnzyrY0P9BpKamUiZqpVKJHj16YNWqVYJs3SzYUoghfVRpaWmIjIyEt7c3+vTpI2h77tw5PHz4EMbGxoI0A58/f8bRo0fRpUsXdO7cWfA9V6xYgaCgIDg5OQmWY0aPHo3g4GBUqVJFMEvl7++PAQMGoEqVKoK9n02bNkWTJk1QtWpVQS6tRo0aQalUwtHRkZcKgWEYKoPi5ubG+7kqlQouLi4gREsNwkeYWVRUBEdHRxCiJWe9du0ap3NRWFhIp7oJIYiJieF0uktKStCgQQNqN2LECM7+SVZcmrVr1KgR75DK+vXrqZ2lpSU2bNjA+R0zMjJ0grWBAwfyTh1v376d2jk7Owv2RpXVVJ03bx5vdr+goAD29vZ0zzJk/fzd+JJOlQ8hRE0IafZ/f15HCAkX+jcVmap/HiUlJXj48CH++OMPnD17FocPH8bevXuxadMmHb0wtVqN6OhojBgxAu3atYOLiwuMjY3h7e2t40QwDIOwsDAoFAr6kEulUs5+gtjYWJopIoTA1dWVM2p5+/YtpXZgFyIf43FZJ6g80zaL169f06lMU1NT3vLJxYsXYWZmBmtra9SuXZs3wmcpCfr164ehQ4dy2gBaPhxLS0scPXoUa9as4bRhGAYBAQFo0KABMjIyeDcxlUoFZ2dnTJo0CWq1mvdg2bx5MypVqiSYnejUqROGDRum9/+vXr2K6OhoeHh4wNfXVy8b9fTpU1rKtLS01HNgS0tL0b9/f53snJOTk05/R0ZGBkaMGIHu3btj9OjRmDt3LqKjo7F7926Deha/BqhUKkRERGDjxo24f//+X3JMU1NTdVi2Fy1aJJhBvHTpEr1XM2fOFCzpRUZGwtzcHFKpFAkJCbyH44sXL6BQKCCRSDBz5kxe8dzS0lJIpVLIZDL06dOHcuqVh0qlogS/7du35xUCLiwspPQXPj4+iIuL47T7+PEjVU1wd3fndRBZfjhCCKpUqYINGzZw2p05c0bnmY+Ojua027t3L7UxNTXlze6sWbMA3yKyAAAgAElEQVSG2lWtWhWbNm3idDjDwsKoXcOGDREfH8+ZIYuIiKB2fn5+OH78OOcztWfPHmrn7++PI0eOcL7f8+fP6X7v4eGBLVu28PajsRPtpqamGD16NK80z8ePH2ngq1QqsXDhQl6nkxX1Zm0jIyN5M3lsGZH831BIeZWPL4Ev6VTZE0LelPlzG0LICaF/8zU6VVlZWfjzzz+RkZEh+DDk5eVhyJAh6NmzJ/r3749hw4Zh3LhxCA4O1jnUGIah5Hfsy8jICNHR0ToLjWEYxMTE6Nj17t1b7zDPy8tDZGQkHRs3NjbmHFlOTU3FqFGj6Hs5ODhwlgWeP39OBY8VCgWaNm3KGX3dvXsXdevWhVKphJeXF4YOHcp5fX7//XfY2dmhYcOGmDt3LiIiIjiv34ULF1CpUiX06dMHSUlJvKWIU6dOQSaTYcmSJSguLuYdHWZZm1mWdz4nh7UTm1CKj4+HRCIR7REZOnQoOnToIGgzY8YMzulBhmGo061QKDj7tnbv3g0HBwd4e3vD3NxcbxRcpVJRskZCtGSwp06d0rk3OTk5Or1fhGg52speo+zsbIwePRqmpqZQKBQwMzODhYUFatasqePMFRcX49y5c0hMTMSuXbuwbt06hIeHY86cOaLXFNA22vKp2/834rvvvgMhWt66b7/9VrQZd8eOHfQe+Pj4CDZrh4SEUNvAwEBeZ+/atWs6zghftuzVq1fUzsLCgpdGgi0PEqLlCnv69CmnXVmdt/r16/NOs+7atYvaffPNN7y/mS3fS6VShIeH8/5eNmvi4ODAO2Si0WhoYNe1a1fOVgBAuzZsbGxgZmaGpUuX8n43VjTay8sLhw4d4v1uz549g7m5OQYNGiRITpqamoqaNWti8uTJglIuarUa7du3x6BBg3Dp0iXBM+nIkSOoUaMGIiMjRaduhw0bBicnJ6xdu1bwGVSr1WjUqBEqV66M8PBwwQnzz58/o0qVKjA2NsbMmTMFSVf/lfhiTpX2s8hlQkid//vvpYSQaCH7/wanKi0tzaDx8idPnmDSpEnYuXMnHjx4wPtvVCoVZRlXKBSoU6cOOnXqhKlTp9KM0efPn3Hs2DE9RnUvLy862qrRaHD+/HmMGzeOsp8TotXeKzv+WlhYiO3bt1MWd9Z2/vz5Ogs3Pz8fq1atQpUqVWBmZoZevXpxjrMWFRUhKioK5ubmqFGjBmJjY2Fvb6/njKjVaqxevRoKhQINGzZEUlISp9ArwzDYunUr5HI5WrRogbdv3+Lw4cOckcqBAwcgl8sREBCA3NxcfPjwgdO5OXfuHBQKBZXAYPtMyuPu3buwsLDgdeBYpKSkwMbGRm88vDyKiorg6uqK/v37C9oxDIMmTZqgd+/egnYA4OTkhMWLFwvabN++HaampoLP6datW0EI4SQsTExMRFFRER3JDgoK0ukNUavVGDVqFNzd3dGtWzcQopXcKNs7p9FoEBkZSTMGhBDUq1cPq1ev1smAHD58WEfEuWrVqpg1axYuXbpEv/+FCxdorxj7Mjc3x7Fjx+hzodFo8NNPP2H+/PkYMGAAfH19YWNjA0LEJ+NUKhWuX7/OKy77nwRPT09UrVrVYLJOVjuzVq1aooMILDN+rVq1BEtrR44coc6I0DTphQsXqJ1QqYftzbKysuLNegGg+p7e3t6Ch/iAAQNACMHs2bN51wDDMHB2dkbVqlUFnfN3795BJpNh+PDhgof24cOH4ejoiMOHDwvuHWFhYQgKCuLN0rBYtWoVjh07Jpp1OXbsGG/jellw0f5wIT093WDqlStXrhg0Yff+/Xvs37/fINuEhAQsXbrUoO8aERGB3r17iwai/2p8aafKi2j7pe4RQo4QQpRC9v9Op2rPnj2i476ANp1ua2uLMWPG4NixYygsLERhYSHevHmDGzdu4OTJk9i9ezeio6N1ZDAsLCzQtm1bTJo0CZs2bcKMGTPg7++vc6CwadSgoCAcPXoUS5cuRatWrWjKm3WEzM3N8f3336O0tBS3b9/G7NmzKWO0p6cnVq5cCS8vLwwcOJCOZb9//x4LFiyAjY0NjI2NMXToUCQlJSEiIkJnNL+wsBBr1qyBnZ0dlRf5+PEj7t69q5O+ZxgGhw8fhqurK+RyORYvXkyzXOUdqocPH1L+pCVLltCyU/kmztzcXAwaNIg6eXzZn7ICypMnTxZcrGfOnIFcLhdlbGYjudatWwvyLGk0GnTs2BGurq6iPF3h4eFQKBSifS/s4VOesbw83r17B0KIzoGak5Ojd1iywst80TKgvYZ9+/aFvb294GEbGxsLMzMzNGnSRCfzqNFoaJbuypUraNu2LQjR6i+WXUenT59GrVq1kJSUhPHjx8Pc3BzGxsYYMGAAzpw5A41Gg4yMDHrfBw4cSHuNbG1tMXr0aBw5cgS5ubnYtGkTrK2taemLPbCbNGmCGTNmYN++fVi4cKGe/EyVKlXQpk0bTJw4EevWrcOpU6dw6tQprFq1Ct26daMl66VLl+LmzZt49OgR3r59i4yMDBQWFuodbP8u3b87d+6gU6dOogdyWfTq1Qu2traiRJEA0KVLFygUCty9e1fQjhXU5iuDsWAzRjExMYJ2bHsB37Qai+7du6Nly5aCVBOlpaWoUqUK70Qbi6tXr8LPz0+U52/Dhg16HFxcSExMNIh3zVCH5WsdCjF0bTEMI/qcfil8Uafqr76+hFM1ZMgQODk5oUWLFujbty+Cg4MRFRVFo7SmTZti165d2LdvH6RSKYyNjSGXy2FmZgZLS0udhmg2u1T2z2yJzMHBgU6ZEaJlYWYlXUxNTdG4cWOMHDkS3333HWbOnAkTExOanWIjNwcHB4wcORL79u3Dhw8f8PbtW/Tt25f2phQWFsLMzAyOjo6YP3++Tnq9PHv5kCFDYGtri9DQUJ2FXb70dvToUcjlckFVeUCbPbO1tcWAAQNEI6XRo0fD29tbcIID0JbebG1tRcndcnJy4OrqapBW2cSJEzFw4EDRxXry5Ek0bNhQNI2dlpYGLy8vUdI/QNsYzleOZBiGZgYPHjyIvn37ctqVLYU9fPhQh6BPpVIhICBAzyk6e/YsCCG4fPmy4Pf79OkTGjVqhN9++03Q7vHjx2jQoIEgkR/DMDh9+jSaNGkCb29vnfvy5s0b+ue8vDzs2LGDiiiXdfwOHjyIK1eugGEYPHjwABEREWjatCkIIYiMjASgLZcHBwcjJCQEycnJiI+Px5QpU2jA4enpifz8fKxevRr29vZwcHDAmjVrMG7cOLRq1Upn/XKtXa7XsmXLAGgP7E2bNmHq1KlgGAbv3r3DoUOHMH/+fPj7+6Njx46C15H9/RMnTjSoJPn8+XPExcXR5+TNmze8ZaD4+HhO+oamTZvqlIWSkpJ4e5u8vb2pAkB2djZiY2M5HYXly5djwIAB9J7Gx8dz7gFhYWEIDg6mf7506RLnJPDQoUN1hl6ysrKwbds2nZ4/jUaD/v3765WOYmJidJzMu3fvcmbxfv75Z5318PDhQ84sVnJyso5oMl8gplarERoaKioFBWgDdjFKB0C7zhYuXCi6pxUUFCAoKEjUIWQYBps3b+bliyqLO3fuYNq0aaKfnZ+fj0mTJhmUHYuNjcWuXbtE7ZKTkzFjxgxRSh2GYRAREWHQBOuff/5pEJP834Gv3qk6deoUoqKiMHXqVPTp0wfNmzeHo6MjzQaxLysrK3Tv3h2rV6/Gzp07sX37dmzZsgXh4eHUpm7duggJCcHy5ctx4cIFPHv2DNnZ2bS81Lx5c0ybNo161I8ePcLjx4/1DvgzZ87oNPHm5eXh4cOHBkXIT58+NajRNS0tzaBRU4ZhDI6EDWWvzsvLMzgCMUQXC4BBDNuAdvMT+2z2OgvZZWZm0s8Uut4nT57Uuc5cm1Rubi7mzp0rWJ5Tq9WYMWMGb/MsoJX/MTU11fsMtsGV3VQOHTrEe4gb2iRdUFBgUNmbYRiD+a4MndRJSUnRe9a4JrqysrJ0AovCwkJs3LhRT2olLS0N58+fR3Z2NuLi4tCzZ08YGxtj9+7dePbsGe7cuYOrV6/izJkzOHLkCB49eoQDBw5QMWcnJydKskoIQZ06dTBs2DBBgljg/5PEWltbGyQaO2TIENSuXVv0+c3OzoZMJqOZw7K/tfzI/ODBg+Hv78/5PmUJNw8ePAiJRMK5xrdt20adm+zsbBgbG2Pnzp16docOHdL57i1btkSvXr307MqX/BYtWgSlUqmTkSouLtYLAFk+Lb7GdhbJyclQKpWYMGGCoF1xcTGaN2+O2rVrC+5DDMNg6tSpMDExEb2Pe/fupf1vQkhKSqIyZ0I9R6mpqfDx8YFSqRSUlyouLqY6qmKs5rt374ZcLkfr1q0Fs+/Pnj1Dw4YNoVQqBQMxjUaD+fPn0xKsEB4/fgxHR0e4u7sLOokshY1EItGT/iqPN2/ewN7eHv7+/n9JCeIfxVfvVHGBYRh06NAB1tbW8Pf3x+zZs6mIcPmbcvLkScTExIgeCKWlpRXs6/8iGOKg/f7776KNi2/evEFISIjgJqbRaLBt2zYEBgYKRnGZmZkYMmQIBg0aJPq9XFxcsGDBAl6b3Nxc2qvExwG0efNmEKId8S4PVmQ4ICAAgDYqt7CwwM6dO7/asoIYPn36xJlJvXDhAu15LFvKX7FiBc6dOyfKes4GKHFxcTAzM4Ovr69BUf79+/chkUj0HCUusFIoYkEOwzCoUaMGr2RKWQd74sSJ8Pb2FrXbvXs3jIyMBGkLAG0mhK+HryyysrJgYWGhpxtYHiUlJahTpw569OghaMcwDDp37gxXV1dRRvWJEyfCzMxMUGoKAKKiokAIEdXzY6sds2bNElx3Z86cgZmZGTp37sz5Hdn97s6dO6hRowbc3Nw4m/lZRzAlJQXNmzeHubk551BRUVER8vLyUFxcTOVkQkJCODNF7H09evQoLC0t0bhxY849iQ0kc3Nz0aNHDxgbG4tmiq5fvw5ra2s0bdpU9NldsmQJCOGfAGeRnZ2N+vXro0GDBgbLrf2zqHCqOFBUVKRToqjAlwXLLiwkK1NaWoqEhAT079+fdwNnI3N/f3/B5vCsrCzMmjULJiYmgiLBN2/epOUnoWbnQ4cO0d64q1evctpoNBpERUXRjCjfhNPr168pf1eDBg04bc6cOUOnMctPAubk5NC/MzIyoo5l69at6TRUBXO6YSgqKsLZs2exf/9+fP/991iwYAHGjh2LwMBAUbkMQDsgMXz4cMoPVr7hXwi9e/dGw4YNDcokjhkzxiCyztevX4MQYpBUkaurKy+rf1kEBgZS510IEydOhJubm+jvWbhwoV6WigurVq2CqampaK9YTEwMpFKp4LoE/v+UJJesCwDKtbd7924QQngpVJ4+fYrs7Gzs378fUqkUISEhnOfK+/fvceLECRw4cADGxsYYOHAgJwv4p0+fMHfuXBw/fhzm5uZo27Ytp0ZeaWkpOnXqhMuXL8Pe3h5ubm68U37Tp0/Hjh074OvrCzMzMyQkJHDaJSUlYfTo0VTKZtSoUbyJgmHDhuH+/fto0KABbG1teTN4GRkZ2LNnD44fPw6FQoGuXbvy9qL9+eefYBgGy5YtAyFEsE/u8+fPKCkpQYcOHVCtWjXRPta/ExVOVQX+FhQUFAiWCd++fYtNmzZh6NChnKUnhmFok72DgwOGDx/Oufl8+PABYWFhqFatGgjRF25l3+vkyZNo2bIlCNES6nH1lxQVFSE6OppOPDo6OnKWRD99+oQpU6bQyTUPDw/OwyA9PZ1OGhGiZUvn+g0pKSno0KEDtWvZsiXnNbt//75OWYnrUMvLy8Po0aNpo3Z5tuiff/6Z0hkMHjyYXq+yHDp2dnb/FZNu/83IzMykbOlmZmaiJQsWrAoBIdyC2eXBMAwcHBxEBXsBbW+PkZGRaOn85cuXIITg7NmzgnbZ2dkwMTERzR7k5ubCzMxMUNhXo9EgMzNTNEuVlpaG5ORkmJmZITQ0lNfuzJkzePLkCRQKhWDpLTQ0FNevX4eJiQnmzp3Lazdw4EBs3ryZ6jLyoW/fvujfvz+kUimmT5/OG6gPHDgQ7u7ukEgkmDx5Mm+ZasyYMTAzM4NUKsXIkSN5nfKlS5fSwY1u3brxZmlOnTql077CRxmTl5eH2rVr0x7hLVu28P6WAwcO0F7hRo0aCWZix44dC0dHR8hkMowcOZK3j0qj0aBRo0ZUC1WotJ6WloYhQ4ZgxIgRMDMz0+Fj/BKocKoqwIvS0lK8ePFCL/pjGAbPnj3Dnj17MGXKFHh7e8PX11envKZWq3H58mXMnz+fNg3LZDK9Bk2NRoO1a9fqMADXrVtXL+3NMAyVZGHt+Ig4t2zZAnNzc2rHNjWXx7Fjx3TkZ7gEiQFthqqsE8RXgklOTsaECROoHV9TZmFhIVavXk3tuCRoWGzYsAFSqRRSqZS30fzRo0cghGDKlCl6h6laraaH4o0bN+hGWFRURCfn2CiWbQjv168fFixYgISEBDx58uSL9CH8L4NhGHzzzTf0ftva2vJmQMqipKQE48ePR0BAAHx8fEQz5+np6bSsVpY2pTw0Gg2Ki4sxfvx40YxWdnY2pTQR6sF8/PixQaW/gwcPIiYmBnK5XNBu2rRpmDdvHpRKJW9fD8MwaNasGXr27AknJyde57CkpATW1taoV68eGjduzKsDl5mZCRMTEygUCnTs2JG3reD58+eUcLVXr1682bakpCR6z1u3bs17/cqSW7q5ufGSFbMDJ4RoyXjj4uI4n4mkpCSanSZES/LKlVFKT0/XCdpatWrFm+kbP368zvPLtwd+/PhRZ9p24sSJvPf56tWr1K5atWqCz+z+/fup7ejRowUznKGhodT2559/5rX7V6HCqaoAAG1EHB0djVGjRqFdu3ZwdHSEVCpFmzZtdNLLJSUlOmSPhBDOKTmNRoMtW7bo2PFFF2xkyE5g8ZEC3rlzh2aV7O3tBRcrO9VVu3Zt3mju8uXLlGSyfv36vM7DjRs3qMROrVq1eDfbZ8+eQalUIiAgANWrV+fdRD98+AB7e3v07NkTrVq14i1tvHv3DhYWFpg1axYWLVrE+7mTJ0+Gi4sL1Go1Z0Pt+/fvOUuRISEhGDNmDKRSKVauXEn//6VLl3SY8CtVqoRRo0Z9UVHS/yWwjPxyuRxDhgyh1BFiuH37Nr0HkyZNEp2WnTJlCtq1awelUonHjx/zllE0Gg3atm0LFxcXTJs2TXB6KiAgAL6+vmjfvj3u37/P69i1bNkS7u7uaN26Ne7cucNr5+rqCisrK3Ts2JF3Yra0tJTuB926deNtgmaDBUIIOnfuzJtJO3nyJLVr1qwZL6dXWWbzmjVr8pZ0J06cSO2srKw4y6dsX27Z4QWu/rHS0lJKEkoIQffu3TmpVFgJLHY9Tp48mdP5KigooBI6dnZ2mD9/Pme/L8Mw6NGjBwjRyrnMmDGDd989fPgwCNESzHbp0gU//fQT517A0rKw2azBgwfT6d3yUKlUOuoYPXv25G20Ly0tpbQqhBD4+vry8pcVFBRQPjq2HUKsdPx3o8Kp+i8FwzB4+fKl6ASfRqPBhAkTYGtrC6VSCQsLCygUCri4uOhsLgzD4Pvvv9dxgoYMGaLnkLx79w7Dhw/XySpxlf0uXboEd3d3GjFNmzaN8/sdPXoU1tbWcHd3h7GxMW/pIDExEWZmZmjTpg0aN27MW646ceIEFAoFunfvjtmzZ/PSMVy9ehXm5ubo2bMnLly4wFtaefbsGWxtbdGxY0fk5eUhMTGR0y47Oxt16tRB48aNkZ+fz5tyZhmKnZ2d8enTJ96SKcMw6Nq1K9zc3FBQUMB7SH369AmVKlXi7ekAtOlwQojeIfH27VuUlJRg1apVkEqlOlnE33//XYc0dtasWXRzYh3wfv36oXfv3ujRowe6deuGLl26CIrksigpKflq+rgePHiAdu3aYfPmzX+5UfbHH3+k19/Dw4Ozd6YsyiontG3bVtBxK0vvsmXLFl67Fi1aULvp06fz2rHZaEIIbxmOYRgqJE4I4ZWVYTOvhGjJiPn4h3744QedEjrfIMqYMWOo3cKFCzmDJ4ZhULduXRCipa7ha6BPTU2lDt/AgQN5xYJPnz5Ng7+tW7fyBkSrV6+GRCJBv379eCVdAG0AVKNGDaxcuVI0w9ehQwckJCQIBkFbt25F586dkZCQINjXl5qaCm9vbyxZskR0oCI+Ph7Vq1dHeHi4KL3D2rVrIZPJMHToUF5njgU7hOPq6oqEhATBjG3ZACYqKkqUluFfgQqn6j8QV65cMYg4jm3Ys7Ozg4+PD/r06YMZM2bQDSEnJwexsbEIDAzUcZaGDx9ON/jS0lLExcXRiSa2bBYaGqrz8Obm5uLbb7+FXC6Hk5MTxo4dCzc3N71N5fPnz7QRt0uXLkhKSkK3bt30NrLi4mJMnz4dhGgFP/Py8hAdHa23YBiGobQV48aNQ0lJCW+aeN++fTAyMsKIESNQWlrKu/lcv34dFhYW6N69O4qLi6HRaDgXampqKlxcXNCkSRPBkWqVSoVOnTrB3t5eVM9u4cKFMDExESWWZRtgxTijvvvuO5iZmQke2J8+fQIhhJcbh2EYDBw4EEqlUieqvXXrFmxsbNCuXTvKyRYZGUkpMaKjo3W4neRyOdauXUu5ptRqNeLj47Fo0SIMGzYMrVu3Ro0aNSCVSgXH3ouLi/HHH39gw4YN2Lx5s+DvZ5Gbm/sfOVhiKCUIF9j1wRe4lMe0adNAiLDeJYuaNWuCEK2IrlB518/PjzoaQuP1bBnd19eX9yBjn0NCtGS+fEhISAAh2t4zIZoANrjr1q0bb+lPpVLBxsaGd/KNBUuQO2DAAEGnZd68eahVq5Ygz5RGo4Gfnx/Cw8MF9/H09HRMmTJFUCYG0AZsP/30k6iDUFJSYjCbuCF8WoC2nGcodcrFixcNmsT+9OkT5s2bZxCFSkFBATw8PLB27VrRoQ61Wg03Nzd07NjRIHLbfxUqnKovBLVaLRgVMAyD4uJi5OTkYMaMGTAxMYGfnx8iIiLwxx9/IDMzE5cvX8amTZswefJktG7dWieTQIhW/2rr1q3YvHkzAgICYGxsDJlMBn9/f7i5ucHW1pZuLDk5OYiOjkbNmjUhkUjQu3dvXLlyBcuWLdPpLVKpVNi8eTPs7OxgZWWFVatWoaioCPfv39dr/v7ll1/g6OgIpVKJ3bt3U36u8gfL8+fP4e3tDTMzM+zevZv3mhUWFmLQoEGQSqVYt26d4KG5du1a2j8gFKH/8ccfsLS0RLdu3QQXaU5ODho1agQ3NzfRrMrUqVMhl8sFewIAbRaNECLqKHz48AFKpRJTpkwRtFOr1XB2dkZQUJCgXX5+vl5/AcMwOgMD+fn58PT0hIeHh85B8ODBA5w4cQJZWVlYsGABKlWqBDs7O3z//fcoKirCixcv4O/vD0K0ciasU+7m5obg4GDExcVhzpw5OuVE1rZnz55YsGABYmNjsW3bNkyaNAm+vr46fXPBwcE4ePAgLl26hMePHyMzM5Pe33fv3iEmJgadOnXi5Dviwtu3b0VH6f9T0K5dO9SqVYs3G1IeM2fOBCHiPEQA6ESpmNMeEBAAQogoYaSjoyMqVarEO8UKaKk8CNFq4Qkd1IsWLYKJiYlgYzzDMKhZsyaGDRsm6GycPXsWtWvXFnVcgoODsW/fPsE9pqioCGvWrBGtDnz69Mkgp+U/MQj4T8P79+8NzvBevnwZe/bs+bdf16/eqQoNDcWsWbOQlJSkczPK38jz58/D398fS5cuxdmzZ+nG/PDhQ8TExFAPnWEYeHh4oF27dhg2bBjmz5+PjRs34ujRo/D19UXVqlURGhqKlJQUTJ48GZaWljSdbMjL3NwczZs3x/jx4/H999/DyMgI9erVQ3x8PAoKClCpUiWYmpqiZ8+e2LVrFy0ZLFmyRMc5GDBgAMzMzBAcHKzj1ZePrA4cOAAjIyMEBwcLcofk5OTAysoKffv2FU39Dhw4EJ6enqLRdGJiIipXrmwQl03VqlV5VeDLYujQoQgICBDdGI8cOQIHBwfRaCozMxOOjo6iHDWAtgwhpiPIfnadOnVEsxyvX79G3bp1RRmFS0tL9bT41qxZo/edX758CQcHB0Hts48fPyIkJASmpqZYsWIFAO0z/+OPP2LZsmUoKSnB+fPnMXv2bDp80KpVK2RlZWHx4sWwsrKCq6srFi9ejL59+6Ju3bq0RMz2bJRtsi3vjLF2bKaFfVlbW8PZ2RmOjo6oWbMmqlevjmrVqiEwMBCAdpJy+PDhcHZ2xrt373DhwgVs27YNc+bMQa9evdCwYUNR5/nRo0eYPn0678h5WeTk5BjE8A9oS63luX4YhkGjRo10RsFzc3Nx8eJF3md37ty58PDwQElJCa5fvy6YNW3ZsiUGDBiA58+fC+rrffPNN+jWrRvy8vJw9uxZ3s+uWrUqLSOeOXOGs1R55swZuLu707311q1bnM9uv379dMr7ubm5SExM1LmWL1++xIwZM/QCqH379uk4zcePH+c8lM+ePatTduJzgtLS0jiJTMtDo9EgOjraIIf94MGDohJUgDb4FJqQZFFYWIgFCxYY5Hzs3btXVKEC0GrVssoBQigpKcGiRYsMKuf/+uuvBk0Z5+bmYuXKlQb1He7du5cG90Jr7dWrV19swvmrd6oiIyPh7OwMQrRiw/PmzcOtW7ewcOFCLF68mDpLf/zxB4YMGQJHR0cQop1k8/X1pX0MDRo0wJkzZ6BSqbBs2TKMHz8eXbt2hYeHh56UDSFaziA/Pz/MmTMHP/74I+Lj43H48GGcOnWKpvE9PDywbNkyXL16FUePHsWrV690HrTXr19j//79OlHf5cuXDVrYr1+/NkjFW6PRGJxKNZQL5NOnTwaxuQOGs7SLkQ2y4GJi5oOhGQ1D2dzZbKQhMLQXQOzQ5krH//LLL7zThGj6ONIAACAASURBVIZem+TkZL1yEFf24e3btzqlzuzsbKxYsULn9xUXF+PevXuIj48HwzBISUlBREQEXFxccP78eRQXFyM5ORm3b9/GL7/8goiICEybNg0tW7akU1ht2rRBVFQUVqxYgVWrVuG7777D6tWrsWTJEnTv3p0zQKlUqRI8PT3Rt29fzJ8/X+dguH79Oo4dO4aSkhLEx8fTMpiTkxP27t0reG3y8vLQsmVL2NvbG6TtxkpUlUVubq7eujt37hwIIbyZq0WLFtHmb2dnZ8GMVd++fSnZbePGjXntRo0ahVevXuHMmTMghPA6aiwFSn5+PhQKBedQytGjR3WcKD8/P3Tt2lXPrrzDERoaCktLS501npeXp/fs//LLLyCEm2alLF6/fg2lUomxY8cK2uXn58PHxwcuLi6ihMBjx46FsbGxaOZv06ZNkEgkopxf58+fh7W1Nby8vAT3lxcvXsDLywuWlpaCWol5eXkYOXIkCCGCAuxsgGRmZobGjRsLBnZv3rxB06ZNUalSJdHANyYmBjKZDGPGjBG0+/TpE5o2bQo7OzvR84Rl+RfiFgS0+4uPjw8aNmz4RXQ6v3qnCtA+SElJSZg1axaNgNlekebNm+ttbm/fvsX+/fsxZcoUKlVRdoqBS7j2/fv3sLKygkwmQ/369TF48GCsWLECp06d0ls0iYmJolmcCvw1MAxjsBMpJDxcFo8ePTIomsrPzzdYOFWsJ4sFn1YZC41Gg927d+vJ2jx58oQ2KfOxs/+nQKPRiEbAmZmZiI2Nxdy5c3XuhUajwdatW9GiRQudaSBCCGJjY5GcnMzrkP7www8wMTGhAucSiQSBgYE4fvy4aH9JQUEB/Pz8UKVKFdGSEwDcu3cPhBDB7CCLTZs2wcLCgvd7s43EGo2GyuwIfS4AdOvWTZD1n10LS5cuRc2aNXnt2LXFsrlzZavL3p+7d++CECKaNfnw4QMqVarEq5nJ4vPnz3B0dESfPn0E7YqLi+Hr64v69esL9jupVCoEBgbC2tpacC/WaDQYP348jI2NBTMhDMNg8eLFIIQgLCyMs3eUfbZY/qu+fftyfkd2YOTIkSOwsrKCp6cnZy8VS558584d1KlTB0qlktPhTE9PR0FBAXJzczF48GAQomVU5woAWcf2559/hlKpRP369Tmf87JaiWziget3l/8eXl5eqF69uuj5d/XqVcjlckycOFE0sAwODoaZmRkvB9ffjQqnqhw0Gg0SExNpBMyW3H788Ue9m1dUVIQ2bdrA1tYWbm5u8PHxgb+/PwYPHkw3LRYvX77En3/+aXCG5msGwzC4efOmqCPy559/Ijg4WJB5vaSkBHv27EGbNm0EHZbS0lLs2rULDRo0QFJSkuDnXrp0CQEBAYIRH6DdgMLCwuDt7S24gTMMg19//RX+/v6iMiTXrl1DYGCgoIbWlStX4OPjA3Nzc1qGYRgG2dnZOrxchmbN/heQmZmJa9euYdeuXTpivWVRWlqKqVOn0usjk8mwYMECg2RkXr9+jeLiYnTu3BmVK1cWLKmVxezZs+Ho6GiQcz59+nT4+PiI2qWmphrsqNWqVQtLliwRtevUqZOo5BIADBo0CG3atBG1GzduHNzd3UV/95QpU1CtWjXRwZ2pU6eicuXKoq0HU6dOFTxgCwsLwTAMJk+eDFNTU97sz+PHj8EwDCZNmgQjIyPe6eH4+HgUFxdjwoQJkEqlvJOWcXFxOHfuHB3yCQ0N5bw2Fy5cwOzZszFv3jwQQjBy5EjOTBabRdq4cSNMTU3RqlUrTgJktVqNzp07Y/PmzXB1dYWtrS1OnDjB+R0vXryISZMm0c8ePnw4731ZsGABUlJS4O/vD4VCwcvLxjAMLl++jNTUVNSvXx9OTk68LRdFRUXQaDR4+vQpbGxsEBgYKJp5YolIxbLLfycqnCoOxMbGYvbs2Zg6dSrGjh2LIUOGoHfv3npaaWwjdgXEoVKpcOXKFYSGhvJGIa9fv0ZERATq1q2Lfv36cV7boqIi7NmzB82bNwchBOvWreN8r+zsbKxcuZKyWMfExHDaFRQUYN26dTRDOXnyZE47hmFw4sQJqqPn4uLCWyp7//49QkJCKMs534arUqmwf/9+eHl5gRCCTp06cf5m1ukqO4nFlZZ/8+YNBg0aRJ2CRYsW0b/Ly8uDt7c3zVLZ2NhwfqevFenp6WjXrp1ORqtKlSqCVBUsXrx4gebNm6Nnz56wsLAQdcpZqFQq2NvbY+HChQbZBwQE8BLelgVLOimWcS0uLoZUKhV15NVqNSwsLATFvAHt2jQ3N8fatWsF7TIzMyGXywXfT6VS4dmzZzAyMhKUI3n58iUuX74MiUTCS97LMAz27NmD+Ph4mqnkQklJCQYPHoyVK1dCIpHwNud//vwZzs7OGD9+PGQyGe9UYUZGBpRKJXx8fGBiYsJrl5aWBhsbG1SuXBlyuZy3PzMrKwvVq1eHRCKBqakptm3bxrlflJSUUDktiUQiyHHHTpATQuDv788byGZmZqJ69ep0unT79u28Z9+1a9cgkUhgY2MDBwcH3Lhxg9MO0HJgeXp6ws3NDW5uboIlv82bN2PPnj1wcXGBj4+PoKMdGxuL58+fw8LCAuPHj+e1+1egwqmqwD8MhmGQlpaGc+fOYd26dXoRTkpKCn744Qf079+fTiqWb7zUaDT44Ycf0KZNG7q4XV1d9QjbGIbB+vXrdUo5fn5+nNHc8ePHYWlpSe2aN2/OWbZ58eKFTubG1taWs0RYUlKCUaNG6Ry4fEy9R44c0aEZ4BNe/vDhA3x8fKidqakp5yGoUqlo9Mq+uPh9SkpKKF0DIVrG5fK/5enTp7QJvFKlSpg5c6bBY9D/6/jll19w9OhRJCUl4f3793+J6JSVzpBIJKK9JSzu379PJUKEJubKwtnZWVRYGNBqTxJCRLPi7DSekIyHWq2mJKRCPEqpqak4evQoCCGcGREWx44dw4oVK2BhYcHbr6NWqzFhwgQMGDAA7u7uvM9namoqGjVqhDp16qBz5868h/zly5dhaWkJc3Nz3qAJ0OUF++6773jtWDFfQgjWr1/Pazdu3DhqN2PGDF7CzN69e1O7gIAAXhmvPn366OyRfCSmM2bM0NlX+AZ4zp49S6W3CNFSU3D1pjIMg549e1K7mjVr8lKiFBUVUb4vtozIR75ZUlJC22fkcrkgua1araYEoC4uLoIUIwUFBbCwsICjoyMaNWpkcJ/o34UKp6oCfwkMw2DDhg20b4RdPCNGjNDZ/NRqNVasWKFTRp08eTLn4v7tt9/oGL2xsTFvZPPq1SvqVJmbm/P2BGVmZtLsj5GRkV4ploVKpdJxloR6UH766ScqftyzZ09eu9TUVDqurlAoeL8jwzCYP38+/Wyhw/L48eMwNTUFIVqGYL7Dg+XzsrCw4CzpXLx4kZa12M8NCgr6r6EY+E/Eo0ePdJ5xvj6Y8mjfvj3q1KmDJk2a6A2glMetW7ewd+9eSCQSxMXFCZa79+7di9DQUNja2iItLY3XcdmzZw8iIyNBCEFqaipvv2FoaCjGjh0Lc3NzZGVl8TZNs8zrTZs2RXJyMufvYRgGVlZWUCqVGDx4MC+nEuvsEUIEeZxY0WNCCCZMmMCbAR87dqxOzyuX08cwjI5UVtOmTTlLiR8/ftSRwPLz8+PM7ly/fp3ayOVyTJ06lfO+xcXFUbvatWtj7dq1nFN827Zto457586dER8fz+k0JyYmghACExMT9OnTB4cOHeK0S0lJoaLvrVu3xqZNm3gnIDds2ED30m+++QaHDx/mDTrY0iAhBD4+PtizZw9vm0FZsmlzc3MsXbqU14E+ePAgtTU2NuatPADaLBVr26RJE4MEw/9OVDhVFaD49ddf0bJlSzRr1gy+vr5o0qQJvLy8sHDhQp2Fcfz4cepgEKLlEiq/ib548QIdO3bUiYK4Fsxvv/2G6tWro3r16pDJZLzlvKtXr6Jq1aqoU6cO6tWrx9ubwGafatSogeHDh/OKpxYUFCAwMBByuRwrV65E27ZteZ2VjRs3QiKRYNKkSWjevDlnJAlom8CdnZ1Rq1YtBAUF8TbXlpaWYvTo0ZBKpQgPD0e9evV4N55du3ZRsVE/Pz/eXhB2g9q4cSNWrlzJuTH3798fvr6+lKFYIpGgevXqvD0UFRAHK6DdoEED3l4tLpSV6AgODha0ffv2LbVVKBSCn7Nw4UJ6ANaqVYu3sZ5lniZEy/rNR+w5e/Zs6og3bNiQdyqVLccTQnin6rKzs3UyrnxlcZb4lhAt3xmfE1k2wzNjxgzO35qfn0+doOrVq/NKz7AccoQQjB8/ntfJZAlZ69evj2PHjnHuGWq1Gt7e3rCwsMC8efN4syppaWmwtbVF9+7dcerUKV7H+vHjx2jYsCHCw8MFy2Nv3rxB7969sWPHDkF6BZVKhalTpyIqKop3L2Nx584dNG/eHGvXrhUdGklKSoJcLsfgwYNx/fp1wdaYrKwsKJVKKBQKzJkzR3DKm2EYWs50cnIS3a86d+5MnS9DaU3+TlQ4VV8B3rx5gzVr1uDy5cu8kebbt2+xfv16HUJRKysr7Nq1i/aOnT9/nvadsIrlixcv1nloVSoVVq5cCYVCgfr16+PIkSNo1KiRXsSsVqsRHh4OqVSK7t27IyMjAwsXLuRcAOw0VteuXZGTk4NTp05x2l2/fh22trbw8vJCSkoKnj9/zpn6zczMRIsWLVC5cmVcvnxZjwiTBcMwVJxz2bJlYBiGd1O7fv06bGxs4OPjg48fPyI5OZkzmsvLy0NAQAAUCgWOHTsGAJzlH4ZhsHLlShBCMG/ePMHPZqNYljeKa3NOTk6GTCajIs9Tp05FQkICdQpGjhypd5AwDIMXL17warR97bh9+7aoDAkfnJycQIiWgdwQpmi2rNu4cWPBQ4JtzCWEYNWqVbx2v/76K7Ur23tXHhEREdTu5MmTvHbe3t60NMOXHWMnHQkhiIqK4n2v4OBgUYequLgY5ubmkMlkgmS6e/bsASEE33zzjaDMj5+fH+rXr88rWg5oez5dXFywY8cOwfudkJCA8PBw0WnjixcvGkRXk5qaatAgg6HPoCHvxcKQiWkWBw4cMJiodu7cuZg2bZroYAGgDbxlMhnmzp0rmgVOTk6GVCpF7dq1Bcva/0pUOFX/xcjNzeVdSEVFRXj37h1u3ryJkydP0kZsmUyGRo0aYdy4cQgNDcW8efNoqczc3Jz+d0BAAN6/fw+GYXDu3Dna89SuXTtcuHABf/zxh14T759//onGjRvDxMQEYWFhKC4uBsMwehvjhw8f4O/vDyMjI6xevZoeEuUPC5VKRSPDuXPnCo6zJyYmQi6Xo2vXrqLcKnXr1kWNGjXw4MEDXjuVSoXx48dDKpUKNsoC2vFihUKBgIAAwVLahw8f4O3tjSpVqgg6KhqNBiEhISCEiDZKx8bG0mZUISxevBg2Nja0FKBSqeh1OnjwIOzs7GBvb49NmzZh69atGDJkCG1M3bdvH7KysgS5sx4+fGjwhE1eXt6/RZPr78bFixf/YRmaypUrw8rKymBaC7ZPRYzZ/MmTJzSjJcTd9urVK2onxP7NZrQCAgIEP7dhw4aQSCQ6BLPlwWaDRowYIegYtmjRQtChArT9QJaWloJyMYCWMiImJkbw8x48eIDly5eL9tHdu3fPoNLuX3FavkYwDGOQM8UiIiKCV/+xPFasWIHhw4f/U/JQ/yy+eqdq3759gocri6dPn2Ljxo2iC4ZhGHz77bcGcR1t3boV0dHRejX58hvAn3/+ia5du2LGjBnYsmULLly4gNTUVKSmpqJ27drYunUrjXY9PDx0av5cr8qVK1NldHt7e0yYMAEnT55EUVERdu7ciR07dtDvwNbo27dvj4sXL9LvVP465OTkwMLCAq1atRLlA+nTpw+cnZ1FZV3i4+NhamoqelhnZ2ejcuXKmDhxomi0NnjwYDRo0ECUD+rYsWOQy+W8JQoW+fn5sLe3x8iRI0UdhUmTJqFWrVqi+lxsj9m+ffsE7QoLC+Ho6Ijp06eLprh79eolSDiYnp6uMyzA9zI1NUWVKlXg4uKC/fv3Y+fOnWjZsiUIIRg2bBi2bNmC8PBwTJs2DYMHD0bHjh0REhICQJdiQq1W4/Xr1zh16hTWrl2LSZMmoUOHDjpZm3PnzlHiUIZh8OzZM+zYsQMjR47Uy5qU//25ubnYvn27KL8RoC0Fh4eHG0Ti+vjxY4M3+KSkJM7nUaPRQCqVUnHu1NRUweZuAAgMDIS7uzsePHgg2ICuVquhUCgwYMAAwcyMSqWCsbExxo0bJ/jZcXFxkMlkuHXrFu7du8e7/7m7u9Pn68aNG5zZty1btqBVq1b07x49eqR3uJaWlsLDw0Nnfebn5+uRam7YsIFz3z527Bhdh8XFxbxivVeuXKHZaaE9PTMzU3QPYN9jy5YtBg04nDhxwqBn6M2bN7wC82VRXFyMqKgog57fI0eOCDq+LN6+fYuNGzeK2mk0Gqxbt463Gb0sbt26JUqOCmifzbKSQUJ724ULF3Sec75gNSMjQ1BH8u/EV+1UaTQatGnTBqampli3bp3g4tq2bRukUinatGkjSEyWnJwMd3d3GBkZYcqUKXTT4GLTDg0NhYWFBaRSKQICAhAXF4fCwkKsW7dOR/fqzp07GDp0KJo0aULH9AnRTnixTbIODg5YvXo1Vq1aha1btyIxMRFXrlzBs2fPkJ2djU6dOqFdu3bYu3cvCgsLcfPmTfz+++96v7n8n0tKSgRT4mVx584dg6K01NRUgyQV2PKTIXj9+rVBtfOcnByDU9qG8BOxdoZ8dkFBgUFyDn/lsz98+GBwz4Ah2aG7d+/i1atXiIiIoI53QkICTp8+jYMHD2LXrl1YsmQJmjZtqvMssi8LCwu4urqiWbNmCAwMxKhRoxAVFYXZs2dTZ1+hUEAul9N/Y2Njg1atWmHs2LHIysrCq1ev6KTT/Pnz0a9fP1StWpU6dW3atKGlU0DbR7d8+XJoNBqcP38ew4cPR6VKlWBiYiKaFTl//jxcXV1hYWGBq1evCl6b3Nxc1K1bF35+fqLXPDU1FRKJhHOMntX3ZBESEiLKPzVjxgxaihOawgMAX19fuLm5YcGCBYJ2DRs2RFBQEBo0aMBr88svvyAoKAjnz58HIfyEsb169UJxcTHy8/NRqVIlzkbi7du36zz/bdu2Rbdu3XRs0tPT9QKeBQsWwNLSUufg5nJWjxw5AkKIoFg3oHXmKleujAkTJgjaZWVlwcvLC87OzoITZMXFxRg0aBCMjIwEHRaGYRAZGWkQo/qhQ4dQuXJlNGzYUNCJvnv3Ljw8PGBmZibIqP7p0ycqQC302Sz9hKWlJerUqSOYeU9PT0eXLl1gZGTEOw3N4vTp0zA3N0fv3r0F7TQaDUaMGAGFQiGamHj69CnMzc0NoiQZOXIkHBwcvgg331ftVAHagyY0NBRSqRRdunShWSOuQ+3GjRvw9PSEqakpIiMjUVpaigsXLugdVqWlpdiyZQuqVauGSpUqYdGiRUhPT0f37t31bmpBQQH279+PgIAASKVSWFpaokGDBpBIJFi6dKleyYstp509e5aWiMq+XF1d9R5wjUZjsHp5BSrAgmEY3L59m7M3ISUlBYcPH8aCBQvQoUMHWFhYoGvXrjrOhlqtxvr16yk3FvuSSqVYv349rly5otOgmp+fj4ULF9JJR9ZJ69q1KyIjI3H58mW9AyYxMZEeAC4uLiCEwNvbGxs2bODM1Hz8+BH37t1DdnY2xo8fD0K0tBdimUt29N3W1lY0qwRohxsUCgVnuaioqEgnozFkyBCqUciHY8eO4ebNmyCEiDK179u3D05OToJ9S4D24B4wYAB69OjBa/P48WNkZGQgLCwMNWrU4HUm2VJdbGwsZDIZZ/BQXk6LEMLbOM7iyZMntOFYCO/fv4e1tbWe3E95fPz4ES4uLmjatKmgo5SVlYXGjRujZs2agvqfOTk5aN++PczNzTlLkexvzsvLQ79+/SCTyTibp7Ozs6HRaFBUVEQpVMaMGaP3/KhUKrx69QpqtRorV66EsbExWrRowemAsAS0p06dgoODA+zs7Dizbq9evUJpaSkyMzPRr18/EEIwdepUzswX62RduXIF1atXR40aNUR1DHft2gUjIyMMHjxY0KlhGAYzZsyAkZGRaDN6YWEhPD094e3tLUodwkos8RGQ/t346p0qFlevXoWLiwtsbGwQFxeH2rVrc2ZTSktLsXz5cpiYmMDLywv+/v4YN24c52ZTUFCAyMhIWFlZ0QZwLseKRUpKCpYvX67DHeLv7887PbJ+/XosXboU+/btw/Xr15GRkVFBRlqBfws0Gg0ePnzI+WxrNBq8e/cO58+fx/bt2zFv3jw9SY+XL1+iV69eqF27Nuzs7Ggmq1mzZpyHX2lpKZ1MY19jxowRLKsUFRWhRYsWGDp0KBwcHFClShXExcUZtGYiIyMhk8kMYikHgA4dOohKppS1FdOhYxgGN27cACFENHvLMAyUSqVo+YZhGPj4+OhkzfjQsWNHDB48WNSuW7duov1XrF3z5s0Frz3DMOjUqRM8PDwEy/pqtRpt27ZF7dq1eTMrGo0GhYWFaN68OZycnDj3VIZh8O7dO3z69AlNmjRB9erVOa81wzBITExESkoKPD09YWdnxxl4aDQaBAUF4eXLl/Dw8IC1tbVOBaLs+/Xp0wcnT56El5cXzM3NeQlKZ86cienTp6NNmzYwMjJCREQEb9auSZMmNHDo378/Z+9cfn4+PD09sWHDBtjb28PBwYG3T+3mzZuYNWsWoqOjIZPJ0LVrV96pvRMnTuDz589Yvnw5CCGYM2cObxWDvWdsJlas7QEAJkyYAEtLS9G1UFBQAFdXV/To0eOLnY0VTlUZ5ObmUtFJNoIVGnMtS94oNGnz9OlTnWi9W7duvN51dHQ0mjRpglq1asHGxgYymQz29vaiEd3/IjQajWDJSqPR4NatW1i/fr2o4OmNGzcQFhYm2u+lUqlw7do17N+/36BF+PnzZ4N1/Srw11BSUoL09HQ9pyo5ORmtW7cGIVpaCKVSiVq1amHSpEm8wwwMw+iwzffr188gse5du3bh9OnTkEgkesS1fMjIyIBMJuM9GMujfv36BpUwrly5AkKEyTUB7W+VyWQGHU5KpVKQwBLQrgkzMzNOkeSySE9Ph0wmw549ewTtWDLRsiXc8p9XXFyMn376CYQQ3pJaeno6njx5grCwMBgbG/NOe92/fx87duxA//79YWVlxZvp+/XXXyntiIODA292f9++fXB0dISTkxPc3Nx4M1kxMTEghECpVMLT05O3dLpu3Tr6XHp7e/N+bln+pXr16gn+XrbUbm1tzcvQXn5NDBw4kHe44fPnz3Bzc4ORkRGkUikiIyMFnaSaNWuiRYsWkEgkgs+XWq1GYGAgpXnho9QBtM/FmTNn6HUQyjxlZWVBo9Fg3rx5MDc3Nyi7/HehwqkqA5VKhZCQEJ1MER8p4927d1GjRg1qx9c/AWinwyZMmABvb2/K79S1a1eDdAAZhkFeXt5XcXDn5OTg9OnTCAsLQ0BAAEaOHKnX+Jmeno7Y2FiMGDECVatWhVQq5azn5+Tk4MCBAxg1ahTtx1m+fDnn575+/Rpbt25F3759UblyZdja2vJGQBkZGTh8+DDtg/Hx8eHtD2NLtceOHUNYWBgWL15sUCNrfn6+qEL714wXL17g2bNnyMzMFBU4ZsGK2bKvZs2aifa33bx5EwqFAtbW1hg4cKBBTnZ2djZ27NgBExMTXu6n8rC2thaVgAG0jfuEENHvXVBQIOi0sPj06RMIIYKlFlZsnhDC2/QNaLPsbMmTb/KqsLCQlhw9PDx4D+Xff/8ds2fPplxzfNi4cSN8fX0hlUoFp2THjh0LuVwOIyMjXhZyhmHQpEkT2qv6+PFjTrvs7GxKmimXy3mJip8+fUqVFSQSCbZv386ZUUpKSqLEx4QQjBo1inM/uX37to5SQ4MGDTipWDIzM2kZnO1f5HM+oqOjddbE0KFDeUuiw4YNo3a1atUSzNjOmTOH2o4fP14wy1jWUQwNDeW1A7T9fS4uLjA3N0dQUJCg7fr16xESEgKZTGbQ2vo7UeFUlUNeXh7i4+PRp08fyOVySCQSXiX10tJSXLx4EXPmzEGDBg2gUCgEdY4AbQkiKSkJmzZtEh2P/m9HSUkJXrx4gatXr+LQoUPYtGkTlixZguDgYJ0NgRX/LOvMdunSRa+UlJGRoUMoSgjhLHFoNBosW7ZMhzmcr2H5jz/+0HGOFQoF5wSJSqXSkZ0ghMDd3Z3zgLtz5w66dOlCN19CtPxC5Xt8GIbB4cOHER4ejlGjRqF169aoVq0aHB0dOSebGIZBQUEBUlJS8OjRI1y7dg0nT56scMBEsG/fPkilUjRr1gxhYWG4efOmQQMVEydOpPevV69eokSJgJbvyNfXF4GBgaLyGE+ePMGdO3do1C0kvXHv3j0cPnwYhBC8f/+eN8h6/PgxzQSdO3eOt1fs3LlzNBP08OFD3sBg8eLFmDx5MpRKJUpKSngzx15eXqhfvz4GDRrESztw9+5dmJubQyKRIDo6mjdTGBUVRa/71q1beSkfWB1OU1NTREREcF7vjx8/0h49uVyOkJAQzkOevRbsa/bs2ZzPyJQpU6iNg4MD1qxZo+fYq1QqSoYqlUrRs2dPTnLP7OxsODs7gxAtqeW3337LmUXLzMyEs7MzJBIJ2rVrh/Xr13Pe19LSUnTo0IEOVK1evZo3ODxz5gykUiksLCwwePBgHDp0iHd6sCwZa6tWrbBt2zbeab+7d+/SfVcmk2Ho0KG8DecajYYOw7B7pFBv45AhQ6htUFCQIBVIt27dqIMcFxf3RcXjK5wqAXz+/Bn79+/H2LFjDeLVePPmDY4cOVLR1/R/KCoq0tGrIoTAzs5OS1BayQAAIABJREFUL53/7t07yoJLiJa+gWuB37p1i0aT7MbHhbS0NEpqSQhBmzZtOBcVwzBISEiAvb093QCPHDnC+Z55eXk6EgyOjo68KeXU1FSd0rCvry/vxOHx48d1nEmWuLQ8MjIy4OnpqXMtZTIZoqKi9Dbr9+/f4/bt23j37p1BY9b/yygsLERCQoLBU5cs8vLyaAmlatWqBrPOs3xwcrlctFfp7du3dHq3SpUqguWM/fv300yFlZUV7+Fz7949ShSqVCp5+2PYSTlCtLQqfBPNEyZMoL/H19eX16lir5WRkRGWLVvGaVOWmNTa2pq3FN+pUydqN2bMGE4n6PXr1zrODV+JcOnSpXRtz5w5k9PhU6lUVAO0Xbt2vILYSUlJkEgkcHd3x44dO3gP6oiICFSrVg2LFy/m3SMYhsHYsWMxceJEXLp0idfJZ0mAN2/eLHoGnTp1Cjt37hR0NgBthnLWrFn4+eefRaslT58+Rf369bFo0SLRYSeNRoMWLVqgUqVKmDZtmmgQwkrPSKVSBAUFCfKq5ebm0uffxsZGcMKzqKiI2hobGwvKj/0rUOFUVeAfQkxMDIYMGYKwsDDEx8fjzp07Ogf4kydPMHPmTB0B5KZNm+ocBrm5uViwYAHkcjmcnJzQqFEjtGrVSq8/Kj8/H7NmzYJMJkOLFi0wZ84c9OvXT28jYseBra2tUaNGDSQkJKBWrVqcEfGrV6/QtWtXmnLv2LEj5xg4wzDYu3cvHBwcYGFhgWHDhsHOzo4z9Z6VlYW5c+dCoVCgWrVqsLGxQYsWLTijumfPnmHixImQy+X0YO3cuTNn6SQlJQXR0dGoU6cOvZbVq1fnPUgyMjLg4OBAbeVyOapXr46goCCDS1JfO1hduV69eokeUmXBlprr1asnmqliGIbqZ9rZ2QmWhj9+/EjvZ4sWLXjtNBoNlEoldZb4Si8sSSghWrZxPpQt5fA5aBqNhtr4+fnxlmSXLVtGs8F8nEElJSX0QJw/fz5vgMpmszp27MjrMBcVFcHW1haenp68jhKgpXpo0KABjh8/zvt5arUakyZNwsGDBwVLzoWFhfj5559F6UtKSkq+aPbkHwWfjiMXEhMTERYWJsiPxoJhGHh5eaFVq1Z0SlEIP/zwA3V6hUhhAS19Axt8GDpY8neiwqmqgEFgyRrPnDmDzZs30wi27KtatWoIDg6Gn58fCCGoUaMGli5disaNG2PMmDE6bN6bN2+GnZ0dLC0tsWrVKhQVFWHPnj16h/7Jkyfh5OQES0tLbNq0CRqNBi9fvtQ7sN68eYOAgAAQohVhZd+nfHNoaWkpldGpU6cOHQDgUki/ceMGbbYcM2YM0tLS8Pz5c71NIC8vD+Hh4bC0tIS1tTVWrVqFgoICzJkzR89Jun79Ovr06QOJRAJnZ2esX78e27dvx+jRo3U24oKCAsTGxqJLly6UamPcuHGwsbFBQECAzkFfUFCA3377DStXrkSvXr3owc6+3NzccOjQIc4D46/Kq3wt8Pf3xw8//PCXs85KpRJGRkYGS2Swz6wYpxQANG7cGIQQ0Yb5nj17ghBCSVe5wJJ/EkIEeehYkW4hEfHPnz/TDILQgTd06FDIZDLBrN+lS5dACBGlUGjUqBEn5UxZ7Nu3j1Lf8IFhGJw+fVq0N0+tVldUIETwV5jkb968qUPwKYb27duL3m8WISEhcHJyEqUe+Vfhq3eqrly5Ijg5xiIjI4Pz4C0PViPPECQlJRlEgpmdna3DZi6E7du3G0RuGRcXh4ULF+Lnn3/WOaBPnDihw3R+8+ZNuLu76zRTmpubo3HjxnTs/f+x955hUZ3b+/AzAwwwtKGLCgoCIigqgg1Q7L1ExF5jr9jBhsaCDROCFU3sisaSIBIVgyVGjY0YUWNFFBUBQZqUKft+P0z2zgyz23lPTn7n/HVdFx+E5d4zez9lPWvd6759fHywfft21KlTBxKJBL169cLJkyeZDfunn37Smzxjx46FkZGRYF2clrUIDw/n1ZSqqKiAk5MTvLy8BBl7p06dCplMhuXLl/OeFK9evQqJRII2bdrw4uQ0Gg0aNWoECwsLLF26VC8rVXPBoLX8AgICkJSUxDyf/Px8Pd/s7GxYWVnByMgIPXv2xOHDh5kgMj4+Xm/xGjVqFNP84OjoiL59+2LNmjWYOHEibG1tER8fj+rqaly/fh3jxo3Dl19+iTNnzuDly5egKAq3b99G//79mSDg2bNnohbHn376SVRHzcOHD3Hs2DFBv7KyMnz11VeiFs2zZ8+KWjDLysp49ep07ebNm8zmW15eztnRVVJSwts1aGlpyTS35OfnCwatixcvhkQiEbW2LFiwAIQIUyrExcWBECLIH+Tr64vAwEBe6ZWEhATIZDLcv3+fE8f15s0bEEKYhpFHjx6xbpaBgYF6pZhnz54ZHDpiY2MNuhYrKir0DjJv3rxBWloa62e5cOECc2++0vfNmzd5MWy0FRUVcYLbdU2j0eDAgQOixu/58+d5CaRpe/XqlShuperqamzZskVUE8z58+dFBfwFBQVISkoS9AO0ZV2hrCygLdnevXtX0I+iKL0sfFlZGee6fv/+fYP3PHr0aINSaXl5uWgi6X/XPuqgqqKiAi4uLujatavggJw0aRIcHR0FtbouXrwIQgh2797N66dUKuHh4YGwsDDBNPDq1athYmIiOMHy8vLg6OgIR0dH7N27l/cU8NVXX8HT01MvmzFixAgGjD106FBkZ2fj9evXWLp0Kfbu3YsrV64gLy+P0W5q164dkpOTmU346NGjokDT9+/f5+yu0TW1Wi1qQQO0J1wxEzsrK0vUgkZRFG85QNfS09NFYXaePXuG9PR0wWtSFIUdO3aIwvEdPXoUBw8exLNnz/Sum5aWphdcp6eno3379ky5iRAtsSat/k6ItiPVzs6OlzSSbgKQSCRYtmwZp19paSnmz5/PkBNyfWeNRoPdu3fDxcUFVlZWvDxThYWFGDNmDAjhFwEGtBtvQEAAnJ2dBQ9Njx8/hlwuF8yOAGDITLnWi/bt2zOBVK1atQSzSt9//z28vLzg4eEheG+6U0pIbuP69eswMzPD/Pnzef3Cw8Px2WefwdfXl9Nn7969iIqKYhjV2QLpR48eITIyEoC269bCwgI7d+7U86EoSk/4mKIotG7d2oDLiy1wmzVrFuzs7ATfI/18uAIu2q5fvw5ra2tMnz6d1y87OxuNGjWCu7s77xpdVFSE3r17w9jYmDeQraqqwrx58yCRSBAdHc3pR89/a2tr+Pj48GbaLl++DF9fX5iamvIyqhcUFDB0QXPmzOH0A7R4OycnJ7i6uvIG3FVVVQwPllDT1fPnz1GvXj106NCB1w/4S29SKAD78OED6tevj6lTpzK/02g0rMF0bGwsFAqFKO3Gf9c+6qAK0E4wCwsLDBkyhPeEXlJSgiZNmsDHx0cwE7RgwQKYmJgIZk1+++03WFlZYfDgwbz3pknkpFKpoBZUYWEhJk2aBIlEgrCwMDx48AAfPnzgxEMUFBQgJSUFixcvRseOHfWkR0xNTREVFcWKCfpUNvrftfz8fFy4cAFbtmxBv379DMq4ISEhepIt9KJeUFDAyFJ8/fXXeoESvRFQFIWDBw/CxcUFNjY2+Prrrw3GyoEDB/D06VP8/PPPaNGiBaRSKSZOnGiQOaAJLwEtqNXZ2RlOTk44evQob2B6//59uLm5wdPTUxBcq1QqERQUhKZNm4rCuAQHB2PIkCGcf6c7ndRqNaRSqSBX1cuXLzFq1Ci4ubkJ3psWQRbKWiuVSjg6OmL58uW8frt27UJ4eDgvpurXX39FaWkpoqOj0aBBA1afd+/eMc9u8+bNMDMzMwAdUxSl985okLKQ/idNIyG07l27dg2mpqZMcMdlN2/ehI2NDbp168YL0s7IyECtWrXg5+fHelCkM1J37tyBh4cHatWqxYpxpMd0ZmYm/P39IZfLsXPnToPxS2tcPn36FB06dIBEIsHs2bMNgoDs7Gzcv38fhYWFzAG4S5cuBh12FEXh3LlzoCgKu3fvhr29PVxcXFjnDp2d1pWyGTlyJOs+R+9TOTk5aNmyJSwtLQUz0XRA1aRJE0F84q+//goTExPBQxMALFq0CJaWloJqCEVFRVAoFFi0aJHgNf8O++iDKkB7qjcxMcH06dNBURTnKfTly5dwcXFBhw4dUF1dzXv67t+/P+zs7JjBzuWblpYGY2NjzJ07FwB4yQsXL16sh6ngi+SvXbuGZs2aMaKplpaWgmnfwsJCeHh4wNjYGM7OzvD19UVoaCgmTJjwL6mKf7L/DaMoCrNnz8bQoUOxcOFCBAQEwM/PD0+fPmXmQGlpKSZOnIirV6+ibt26cHV1Zc2ULFu2DHZ2dowo8+eff86avTtx4gSMjIwYEeaOHTtylr7i4+MRFhbGdJCOHj2as0Po1atXuHXrFi5cuAAbGxu0bt1aFMB8yZIlMDMzEyWq/vLlSxBCODtEdS03NxeEEEEoAEVRiIuLg4uLi+A1CwsLRWViAKBOnTrYsGEDr49Go0HTpk05u2h1LSAgAFOmTOH1oSgKjRs3xpgxY3j9qqur4enpicGDB/P6vX//Hq6urujbty9vEP3ixQs4OzujR48erIe9d+/eQaPR4Pbt21AoFOjcuTNrVvvp06d48OABzpw5A0tLS4SFhbHCMzIzM7Fp0ybs3bsXZmZmCA0NZc2w3blzB71790Z8fDxMTU3RsmVL1iD/0aNHsLOzY7Cevr6+rHOsqKgIjRo1wsiRI+Ho6AgnJydOkuKFCxciKCgIYWFhkEgkmDp1KuvhuKSkBL6+vti5cycjZcM1vt+9e4fVq1fj4sWLcHJygre3N2cZvqKiAkVFRcjKyoKbm5uogCo/Px9169ZF165dBcuo9+/fFyVfBGifhUKhEAW1+TvsU1D1px0+fBgSiQQrVqzAzJkzOXk4bt++DQsLC4wePRrHjx/nXIzLy8vRvHlzNGzYEDk5OQbpcF3bt28fCCH48ssvsXjxYt4U5fr160EIwYwZM1C/fn1e3IBKpcKXX37JdJc5Ozvzli/Ly8tRUlLyCZD5EVphYSFkMpnBOB01ahRMTU1hbGyMbt26seKJEhIS9LoSuZTiT58+zWDzJBIJDh48yDnWUlJSGKoJNzc3nDlzhvfzf/bZZ2jXrh1MTEzw2WefCZaCnzx5gl9++YXRIRRjcXFxsLa2FpXRysjIACFEkMEf0D4/BwcHQb+ysjIQIiwYDGgJRcXI1MjlciQmJvL65efnQyKR4MSJE7x+NOM71/un3/WmTZtgYmLCiVujBcrp4IGrtL5v3z7k5OTA398fvr6+nGv2jBkzsGXLFtjZ2aFjx46sayZFUejatSs6derE8CuxvefKykr4+/vDzs6OaQZgK88VFRXBw8ODoQyIiYlh9Xv37h0DwzA2NkZMTAzrfauqqtCuXTtmno0ZM4azYrJ9+3bGz8fHh7NcrNFo0KdPH8Z30KBBnHhBiqIwcOBA2NnZwcjICH379uV83oB2n1q0aBHc3Nzg7+/Pi0O8dOkSysrK0LlzZ7i6uvL6VlZWgqIotGvXDs2aNROsmOTm5kIulwvqYP6d9imo0rEtW7aAEC3/z+rVqzn9UlJSIJVKoVAoeDW7cnJy4OLiAkdHR9SrV493ANAtwqampoKLPK2RRAjhTfFrNBqmhk/7e3l5iZLn+GQfj+Xm5jJs2LoLpS7bsZWVFVJTUw2CoAMHDuiVDmvXrs160r148SLT2ECIluwwJiaGtex9584dvTK0vb09b4eaLudSy5YtBbl37t27h1atWsHd3R3dunUTPESUlpaCoigEBQVh1KhRvL600U0WYk7H27Ztg0KhEPRTKpUghAgGNwBgZmYmiOt89eoVCOEXNdZoNEhKSoKRkRHnd6GlmoYPH45mzZrxBsoXL16Eg4MDL4fX1KlT8fnnn/NmBSmKgo+PD5ydneHg4MAZoGVlZTGBfGhoKOeBNSkpSY8WggvHpCti36xZM9b7ajQahnySpstgU9uorq5G+/bt9ebPkiVLDJ6fRqPB4MGD9fy6devGSo9y6tQp5hBNzx0unBdd+aB/Jk+ezFmloQ/+dJc3X5WksLCQ0br19fUV3G969uyJZs2aQSaTCZaDJ0yYgLi4OEgkEs7gHdCOjy1btmD69OmoVavWP4Klou1TUPWnlZWVYfDgwUwAYm9vz/oiNBoNli1bBmtrayYI4uoiOXnyJBo1asQMRi4Zm5KSEj222Hr16nFO6levXqFNmzaMr7m5uSA4vLCwEMePH8eUKVPg5eWFVq1affSkkJ/sL6NP+sOGDWMW9GfPnsHKygqEaEkkp0+fjlu3bukt+KmpqXB3d8fw4cOxc+dOPH78mHVDvX37NsLCwjBz5kwcOXKEt+3+zZs3qFu3LqytrREREYE9e/bwdmmVlpbqMeIHBgYiPT2d9/suW7ZM71AiJAGVkpLCYE3YAsuadvXqVSQmJsLMzAxqtZo3a/bmzRt88803sLCwQHFxMSfHz/v371FZWQlCCA4dOsTZyfTmzRumTPjdd99xbmjp6ek4fvw4CCF49eoV52Y6ZcoUhIeHo23btga4KNru3bsHf39/yGQyJCYmcuJDo6KiYGJiAplMhhs3brAGvxqNBi4uLiCEwMPDAykpKaz3TEtLY95hw4YNOXE99HsjRMuuzdb4UlRUpEdD0qpVK9YgnuY/ogOLhQsXsrKF0+NLLpdj8ODBOHbsmMF6S1EUxowZA4lEgtatW2PlypXIyMhg/a7z5s2DpaUl+vbti02bNuHhw4esfjdv3oSFhQWaNm2K+fPn49y5c5wHjCNHjoAQAoVCgREjRuDYsWOcjQDZ2dnMfmdubo4xY8bwAvJ1hc5NTEx4NShfvXrFBIENGzbk1CkEtNAYOlgLDQ3lDeyysrJgZGQEExMTxMTE/GOlP+BTUKVnhYWFDCCcLsexWVFRkZ5kCVcXlEqlwrp16xiZhHbt2nHe+9WrV4iIiGCuyTcQKYpCamoqgoKCQAgRxCbUtOzs7H+svfT/0t69e4fi4mLBTbCqqgplZWUfZdlTo9EwBwlra2uG16dt27bo2bMnvvvuO85y15s3b0Q9M7H6fIC2PfvixYuC5Im0zZw5E4Roxc8vXbokqrNS96CzZMkSwc+nywRev359QfqDmJgYmJmZQSaToVGjRpxaeICWZsPFxQUSiQSOjo6ci39BQQETPNrb23NiSXJychjyz7p162LHjh2sfjt27GDkRBo3bswJCwgICAAhWsZ3Lqmnc+fOMc/HxsaGE0hP89cRoiUcZRtXdAmRhitwZSh79+7NlMyWLVvGGhRmZmYyY3vo0KGc35GWI+rTpw9+/vln1u9YUFAAV1dX9OvXT48upqZduHABQ4cOZQ2kdO3u3bvYt2+fIM7o3bt3uHz5suB8oCgKaWlpojRic3NzsWDBAvz000+C11Wr1WjXrh38/f2xefNmweDkxYsXzH4XERHBSpKsa6tWrWLed/fu3Xmxu9evX9fLnPN1htONEPSYFJKP+zvtU1DFYhkZGWjbti1cXFx4SwkXLlyAl5cXHB0deU+jjx49QkhICAghguyxP/74I9zd3eHv7y9qg/jxxx/RqlUrwU7D/5csPj4e3bp1w+TJk7Fu3TocOXIEN27cQEFBgd4zu3PnDuRyOYyNjVGrVi00btwYYWFhiImJ0XuvVVVVaN26NczMzODm5obAwED07NkTEyZMMFgUEhISEBAQgP79+2PGjBnYsGEDjhw5guvXr+vdOy8vDzNnzsTWrVtx8eJFhoqCzR4+fChKXPs/YbSoLiFadmq1Wo1Xr17x8oL9t9jdu3cxceJEUbgl2jIzM5kAMjk5WdT/2bNnD/OMhMDfAJCcnKxXUuGzx48fM74hISG8vh07dmR8+Xi6vLy8mICDK/NFU78QQjBs2DDOa9EadnK5HNnZ2aw+uqUhLvFatVrNSNkMGDCAMzNGl9datWrFmdF88uQJJBIJmjdvzhvg9u3bFx06dGA669js1q1bGDdunCDvWUZGhqhmnX+FAPN/wR49emSwtvHZ6NGj0alTJ14Ge9o0Gg08PDwYyIvQPegAzMXFRXAfXbRoERN88ZUJ/xP2KajiMI1Ggz179gjiFyoqKrBo0SLs2bNH8HqbNm3CjBkzBO9dUVGBxYsXC5YxaKMoSpTY63+7bdy4EZGRkTh//rzeCYqiKLx+/Rrnzp3D119/jVGjRulhAQghaNu2LU6dOoW7d+/im2++wYQJE9CkSRM9fIGzszMSExOhUqlQUFCAH3/8EcuXL0fPnj315HToUxZdzsrKykJycjJWrVqF8PBwg3tHRETg3r17oCgK+fn5+PXXX5GUlAQ/Pz89P3t7e4waNcpgcT5w4ABkMhmCg4MRHR2N1NRU1hNhaWkpkpKSRPFxibVnz54xC9W/qo/3f23/fzawmJgYNG7cWJBqQde2bdvGBJ1i7pmTk8O8czGknk2aNAEhhCEN5TKav6dOnTq8GxCdeenZsyenD03YKfQZaczP+vXrOX3o5pmxY8dyfi46mI2IiODMjlAUhXr16mHcuHG8zQBRUVGCTOlv374VVar9V7Kon4zfysrK8NNPP4n2P3/+PBo3bozMzExR/mFhYfDx8eEM7nWtR48esLCw4OXu+k/ZRx9UPX78mBdATk/KiooK3tO77ibIxzSdm5vLXDMvL4/33vRpjg4CxJhY6oO3b9+K2pyrq6uRkZEh6prffvutqE3kyJEjGDp0KIYNG4YRI0Zg1KhRGD16tB64U6FQoHfv3vD29oaNjQ3ze1tbW4SEhDA1/rCwMKSnp2PQoEEMBsjU1BRt2rTBrFmz0K1bN8jlcixbtgxlZWXYvXs33N3d9fBrAwcOZMpI7du3x/Xr1/Hy5Uu0adOGuSYhBK6urujZsyecnJxAiJbp/e7du4iMjETjxo31wNW0tAz979atW2PRokXo0aMHgoOD0aRJE7i5ucHGxkavkUD3+/fr1w8rVqzApk2bcODAAaSmpsLT0xM2NjaYOHEirly5gqSkJBw+fNiAaqAmDqmwsJCVUuPWrVswMjLS49gRw0GWn58vKrumUqlE0RUAWoUBMSfiFy9eiNYX0y1zUxSFFStWsGIl3717x3nvjRs3ws7ODq9fv4ZarRYMrCiKgpOTE69Gn67RGByhEkVubi4kEokgZQGNl9m3bx/vZ7S0tBQE6nfp0gX+/v6oqKjgLGPOnj1br0GArQT17bffYsiQIXpjKycnRy9j9fvvv2Pr1q0Gn6eqqkovCObD5InJkADaLKcY5Yni4mI9zjYu02g0+P7770WN36tXrwqSSAPaOXz69GlBP5VKJZrN/datW6Iyux8+fBBF3QFov4+YNaOwsFCPU+rSpUuca0jN51NeXo6OHTuyrnM1vzdFUXB3d9crQ1dXV4t633+HfdRBVUlJCWxtbUURjQ0aNAht27YVXFCTkpIgl8sFyyeFhYWwtLQUJAcEgP79+xswD7PZ0aNHIZfLBQOwqqoq1K5dm1NNXtc2btwIc3NzwayZUqlkBH+bN2+OhIQEZuNLTEzUmzz79+9H37590bt3b/Tq1Qs9evRAt27d9Ni96esEBgYiOjoa6enpePv2LSiKQnFxMXr16qUXCMTFxWHz5s24efOm3kK9Z88evXeRnp6OmJgYnDp1Si8zc/nyZT0G9YqKCkyaNAlbtmzBzz//zEzIqqoqjBgxQi94XL9+PaKiopCYmIi0tDQ8efIE1dXVmDVrFsLDw5lFOT09HSNGjMC0adOwcOFCrF27Ftu2bWNkRRwcHDBjxgxcuHABXbp0QWBgIDw9PWFvb6+XcdP9sbKygkQigVQqRZs2bfDFF1/gxo0biImJwejRo5l3sHjxYpiZmRlg9c6dO4d169Yx/54xYwY6duzI+64BICIiAl26dOH1oSgK48aNg729PS+uCNCWkCQSCSN1wmUFBQVo2LAhBg4cKPgZDx48CBMTE+ZkywW0BoA2bdpwEkeuWrUK33//PQDt85LJZIJBXffu3eHq6oqlS5cKfs6oqChIpVLBtYXu1hMi9czLy4NEIhFkzg4ICMDw4cMRFBTE6dO3b19cu3YN586dg6mpKeuhbc6cOUygU1BQAAsLCwPA8YULF/Q2XpVKhRYtWmD06NHM79iCAoqiMH78eNSuXVswiN+8eTMIIYLZidTUVFhaWgryc926dQseHh7w8vLiDRqePn2K9u3bQyqV8pYa8/Pzma7GxYsXc/pVVlZizZo1sLKyQsOGDXm5C1NTU+Hr6yvI5l5QUICJEydCIpEIVkuuXbvGwFqEWOy3bdsGqVSqJz/EZkqlEh07dkRgYKCoRg+pVKr3fQoLCw2SABRFITQ0FGPHjtX7fWFhocF+tX//flhbW/8jgvIfdVAFaGkUJBIJJ+M4bRkZGTAyMuLEDND24cMH1KlTB59//rngvYcMGYJGjRoJLqaHDh2CRCIRBJeXlpZCoVDwyofQtmrVKlGdg0qlEhERETA3NxdM7Wo0Gpw/fx4jR46Eubk5ZDIZBg4cCD8/PwQEBAiezlauXInw8HDs2rWLN+P2v4JbEJNNAbT4FiFle4qikJOTAxsbG9jY2KBHjx5YtWoVLly4gJycHBw5cgRjx45lOqd09QAPHjwIpVKJWbNmgRCtTAW9Sbx+/Vrvea5YsYKTOZu2a9eugRDCBBpctmzZMkilUkG/gwcPQiqVYu7cubwLbnl5OVq1agVXV1dBpfrc3FzY2dlh0qRJvH4A8Mcff4AQwpkV0JU12r59OywtLQU3hi+//BJNmjRBVFSU4P13794NqVQqeM3i4mIQQkRpsjk4OAiuA/Hx8ejTpw9vgErP+SlTpqBJkyasPrpZ+iVLlsDW1lYwiF6/fj2jKchndKAkBMOgS7SrVq3i9du6dSukUilGjBhhUGKk5wRFUdjy+k5LAAAgAElEQVS0aRNkMhnCwsIMDsiVlZXIzc2FRqNBQkIC5HI5fH19DegAqqurce7cOajVamzbtg22trZwcXExIOykKIrBFB0+fBj16tWDubk5YmJiDLKqycnJePDgAe7cuYPOnTszoP+a2M/q6mqcPHkSarUaW7Zsga2tLZydnbF3716D9ZMmR62ursaSJUsglUrRqVMn3oqLRqNBVFQUCNE2avGNXYqiMHHiRMjlckECaqVSiSZNmqBDhw6C84GWThJSGKAoCgEBAaIOYn+HffRBFUVRiIiIgKOjo2B2aeHChbCwsBCs6e7du1eUSCqNMxDS9FMqlXB1dRXUqgK0GQk7OztBXo7Kykp4eHggIiJC8JoqlQqDBg2CmZkZ03EhlEotKSnBzp079bJPCoUCJ0+e5Pw//yvB0v+VZWdnIzMzk/c5URSFy5cvQy6X62W0evTogezsbOzduxempqbo0qULCgsLsXnzZr3Fa8+ePZDJZJz3oCgKISEhCA4OZl306N/t3LkThBBs3bqV9Tr0ppuUlASpVIpZs2ZxLqIURUGlUqFXr16wtbUVLF9QFIV+/frBzc1NcHMHtJmi2rVriyqfzJ8/H/7+/oJ+1dXVCAwMFMwWAX9xWvGRKQLaTA4hBEeOHBG8Zt26dfUykGymUqng4eEhmPnSaDSoVauWYJBWXFwMGxsbwes9fvwYZmZm+OKLL3j9zp8/DyMjI87r0VkUeqxx+aWlpUGj0WDu3Lm8QcCsWbOQnZ2N8PBwSCQSxMTEsJaWhg8fjnXr1iE0NBRGRkZYtGiRQYCm0WgwbNgwJjtjZGSE2bNnG2RKKIrCnDlzoFAoEBwcDEIIRowYwRrQnD59GjKZjJGxCQgIYOUYU6vVGDx4MFq3bo1mzZrByMgIc+bM4ZQb69SpE86cOYPmzZvD3NwcCQkJnPP/559/RlVVFYYOHQpjY2Ps2rWL1U/XvvzySxDCTSmka+vWrYNMJhPsGgSAdu3aISwsTNDv8uXLIISIKuP+HfbRB1WANgDw9PREaGgoVCoVJ/9FZWUlvL29GRwCV8usRqNBQEAAOnXqJBhtDxgwAP7+/oIBRVxcHORyuWAwk5eXJ4pAFPirS4kW+eX7rCqVCoMHD4aZmRkOHz6MXr16CV6/srIS3bt3NyhZRUVFfdIO/A/aTz/9hJUrV2LNmjXYsGEDvvrqK2zatAn79++HUqnE9evXUadOHXh4eEAul2P//v3M/6VPf1yZQppok42lWaPRYPXq1UhNTWU2GzbTaDTo0aMHQyo5c+ZMXoDz4cOH8fnnn8PMzIx3Yfzw4QOUSiUOHToEQogoMW6VSgUXFxdegVtdGzBgAD777DNRvm3bthXVmEK3iouhObG0tORVZ6DNwcFBMKteXl4OiUQiKIZL0xzwiV0DWlJiKysrTimhiooKaDQatG/fHo0bN+bsAExJSUFWVhbs7e0xYMAA1rVRqVSiZ8+e2LVrFyQSCStpJqAtzVlaWqJPnz4wMTHhLFPRa6FCoYCzszPn2ImNjWXWscaNG7Pi4CiKYrLCdCcj156ydOlSxs/NzY2T/DI9PZ0hz5VIJJx8YBRFYfLkyXr35sM0zpkzh/Ft2bIlr9j81atX4erqivbt28PS0pK3uqNWq3HgwAFGGUGI0VypVCIrKwvm5uaCwTagLScTwk9cS9uAAQMQFBT0j1HmfAqq/rSMjAyYmpqiX79+vK3NdNQbFxdnUMvVNfqlnzx5kjfAoeUsfvjhB16dsOLiYlhZWWHNmjWC3RKTJ09GvXr1UFpayutLURS6d+8OPz8/HDp0SDA1q1KpMGTIEGYSiun0oIPPly9f4s6dOzh//jyOHTsmuuPjk/1n7NKlSwzTtI2NDQMgffr0KQgxFLq9du0arl+/zotnSklJgUwmg1wu5+Q0ArSSUPQYmjZtGu9iN3z4cFhbW0MqlQpSIJw4cQJLliwRXfYrKipiskRiTsYARGvlAdrOOSFKBeAvoWQuORFdq127NqP9yWdyuVxQhPjmzZsghOCPP/5g/TsNyp8zZw4aNGjA+Z5u3LiBwsJCODg48JY7R40ahXXr1kEqlXIGD3l5ebCwsICPjw+aNGnCielJTExkxlB0dDRn1rRTp06Mn+7hQddevHjBcHvRJUS2Urwucz8hWm40Nvzq2rVr9fwaNGjA2m1a069+/fr48ccfDfxqZp4dHR0RHR3NGlTpBmn0vbne7/79+/V8FyxYwIlbo8tyNLSATTxa106ePAkHBwdYWlpi9OjRvHO8uLgYM2bMQM+ePdGwYUPezs+srCw8fPgQYWFhvLyPgLZsn5WVJUrY/O+0T0HVn3blyhU9bSWuU+PTp08ZvhgLCwvOAVBeXo5OnTrB3Nwcrq6uvPfu06cPXF1dBZXq58yZg1q1agnS7j99+hRSqRS+vr68JYCqqir89NNPIEQrzSMkTvnw4UOGA4cQgoCAgE8lu/9BU6lUSEhIYBoLCCHo2rUrVCoVqqqqQAjB4cOH9UC3GzZsgIWFBaRSKTIyMlhLZTQXGyFa7iM2YkOlUslondGnYy6VeZoVmc4gxMbG8o63MWPGgBBt9+fZs2cFu1s7d+6M9u3bo23btrx+gHbjff78OSwtLbFt2zbez6HRaBgts3HjxvFSVSiVSkbTLzk5mTO4UyqVUKlU8PHxwbJlyzghCAUFBXrM61zZ9DNnziAxMREymQwqlYqT8HLcuHGoX78+5s+fz/kdoqKi4OHhATMzM072+w8fPjCkkN26deOUlaHlugjRkhqzlXorKipQu3Ztxi8sLIx1rOnyixkbG2P06NEG5Tea6JYQbcdu9+7dcfDgQYOxQ0snGRsbo3PnzkhISGClsdm1axfkcjm6dOmCNWvW4Pr166xZ+e3bt6Nly5aYPXs2jh49ygk9odUIpk2bhv379+Pp06ecAUp8fDycnJwQERGBzZs34969e5zj9Pbt20zmKygoCGvWrOHNUq1bt455ljKZDJGRkbwYUBrvRQhBZGQkZ/YSAL7//nvGNyEhgbcMfuzYMYYEV0isPDw8HEFBQahduzZnVvQ/YZ+Cqj/t+fPnevIvXPiBtLQ0vRZ/rrZTGmBJ/3ABa9etW8eAigkhnN0J3333nd59uVK6hYWFaNGiBdOmP378eM7v/P79e72NsH///py+tOXm5mLq1KnMZz506JDg//lk/51GURTOnz+PiIgIGBsbY+3atQgODoZMJoO1tbVeGl6X7T8wMNCgDH3lyhXm7y1atOCkB6DFXo2NjTF9+nTegGPKlCnMZjdjxgxeNme1Wg0HBwe97IUQRqpWrVrMyV8o+5STk8NkC1q0aCEoQtyuXTs4OzvDxcUFvXv35vTLzs5mcIeOjo6cKg4qlQotW7ZkwM66XXM1r+fm5gZCCPz8/Diz5HPmzIFMJoOFhQU6derE+mx1uay8vb05ufj69evHlKVCQkJYD3ynTp1irqVQKFg3RLVajXr16jEb97p161jfIc2LJZPJMHfuXNYNOy8vD3Z2drCxscGCBQs4A/eFCxeiadOmiIuL42Qjp7kIjxw5wrvhK5VKXL16VVBwm6Io0WS/Ynm0lEol/vjjD1Elrnfv3mHEiBGIj48XbFQCwJTlbGxsEB0dLcjafu/ePeZdu7u7C1Y06HlOiLbjmw/bvHz5csbX1dWVt/mpRYsWIITAzMwMgwcP/sc4yT4FVTqmVCqxcOFCSCQSuLu7cw7Q+/fvM1xHXG3YgBZASQc3XLgFiqIQGRnJDBQ+9tclS5YwfnyA7ydPnsDR0RGEaHmX+OzDhw8MP5SdnZ3ozNOTJ08wZMgQNGjQQHAR+WT//Zabm4v4+Hi98q5uxxW9Ubds2ZJ1A+7Xrx+srKywadMmzsXrw4cPqF27NgYOHChIvpmbmwtTU1O0bNlSsCwN/IX7kclkvPxMtFEUBZlMBkIIfHx8BAHtFEUxPGQ2NjaC/jExMcxzjIuL4/Xt1q0b48tHB6C7TnzzzTecfh4eHkyQw7VBJSQkMNfiopR58eIF4xMcHMz5Xr29vUEIgaenJ2eQPHXqVKYcxZURSUlJYTLgXPCA9+/fw97eHsOGDeMlPF6yZAkSEhJ4KQGqqqp49eP+X7V/BVtEURQmTZqEL7/8UlTTBwCGuiEyMlKUkDE9Xrt37y54j4EDB4IQLV+h0LujCZ19fHz+MY4q4FNQxWppaWlwcnLirRvn5+ejbdu28PLy4r3Wvn37IJVKebuANBoNRowYAUIIbzcFRVGM8HJ8fDzvfa9fvw5zc3PUqVOH1w/QBpP0df/VReb27duiyUE/2X+/3bp1i9lIabHY3NxcEELQpk0b1pP6gwcPMGTIEMHu2UuXLvFy6eja+vXrsWPHDtFB/oIFC+Ds7Cz6+uXl5SBEK78ilpyUPvkuWLBA0PfOnTvMcxTCDx49epTJ3vGVLGkMFCGENyidMGGC4IHq5MmTIITwAstpfJ2FhQUnHKK6uhpGRkaoVasWZ9aAoijUr18fISEhvBx6/fr1w/Lly3nLSmlpabxcUPT9PjGl/z2mVqtF63AC2kpJ8+bNRTOZ02Ns3Lhxou7j4+MDCwsLQfwhPb/t7e3/cZ3bjz6o4tJky83N1SOwU6vVBhtKZWUlhg0bZrDA1TwdHTlyhBVUV1VVxdxbqVSiT58+mDt3LuvnpOvyVVVVaNeuHWeGTHcTSklJgbGxMSuuoma3n0ajwbRp01g7hsQuUHwCorpWVFQkSCpH31cIEEnbqVOnRLEU37lzB999953ByaWwsFDveahUKnz11Ve4deuWAWlhzS6o48eP4/Tp0wal2zt37ui9j4cPH7Kyn5eWlhrw1hw4cECUsjoNEhayyspKzhJITWvbti3kcjnz2ZOTkxESEqJ3itT9XkKnS7EK8bpZDr7goqSkxAAjMXToUNZSBtdJ+eXLlyDkL+FyMaf34cOHw8TERJAji75egwYNBCVlAG1g4uDggICAAMFrNmzYELVq1eK9ZlJSEggh2LZtG6fP77//DkIIFi5cyOlD83clJiZCrVaz4lLu378PGxsbvTlRc249ePCAlRdKlw27qqqKU89NqVSKkiYBILoB5uHDh4IUFoB2bIvJlGo0GkGuQ9oyMjJ4OaBoe/funShNV41Gg1OnTok6gDx58kSUpJlarRbU16MtKyuLGY85OTmcpc3KykqDdX/r1q1YsWKFwXhm2x+qqqpgYWGhV07kutf9+/chk8kYQe5/NTj8d+yjDqpKSkrg6Ogoin5gyJAhrJgjiqL0Tl+HDh1iBZKfOXNGLzh58+YN7O3t9VTYKyoqsHbtWoN79OrVSw8oWlhYyAoc3bp1Kxo3bqz3u8TERIMgIDs7G46OjgaLBUVRBl05ERERmDlzpsG9alpaWhoUCoUg4SVFUQgODkbfvn0FgzW6M2vQoEG8WRCKopgSRPv27bF7925mUh46dEhvMV+/fj3DQN66dWssW7YMV69exenTp9GpUycmO/PkyRMoFArmNN+9e3fExsbil19+gYeHB6ZOncp8V7p8I5VK0aJFC8yePRs//PADpk+fjjZt2jD4Ipp9mGY/X7FiBW7evIkrV66gW7duTFD4/PlzmJqawtTUFEOGDMHZs2eZZ6VL/EiT2ikUCmzcuJG3DBsZGYl69eoJLqhxcXHw9PREy5Ytmd+dPXvWYJHbsmWLKNHvH3/8EdbW1oJZLHo+iCndjR49Wo/NXa1WswZPjx49gqWlJevmcOfOHb3OvFGjRmHixIm89121ahX69u0LFxcXUQF8gwYN0LRpU0G/ffv2QaFQCHYK5uXlwcrKSpDx/u3bt5BIJLwBU3FxMSwsLDBr1iz06NGD1SczMxM9evQARVE4ffo0nJycDOZ3amqq3sEnJycH1tbWel1s+fn5BuOkvLwcjRs3FlxbVCoVBg4ciAYNGvBuihqNhoFH8GXOKYpCYmIizM3NeZU0KIrC8ePHUadOHfj6+vIGLOnp6QgICIBEIjHI9Ov+vzt37qB///4ghCAmJkbPTzdgffv2LebPnw8LCws0bNjQ4N70vzUaDY4fP47GjRuDEP7u0dLSUkRFRUEmk2HKlCmcfoB2Lnbs2BEKhUKQgfzWrVuwtrbG9u3bef2AvzjedNd9tvUoNzcX1tbWBlis+/fvGxAJDx06lLUL/8cff9RTj6DHr5gD6L9rH3VQBWhZn2UymSBR5+nTp0EIQWpqKq9fXl4ezM3NBTvpKIqCv7+/wYBgCzRmzpwJX19fvd+xbSI0JqFmB07NaF6lUkEul4uaCLNmzTII1NispKQEVlZWrEFhTfv5559hYmLCmZXTtZMnT6JevXqwsrLC119/DZVKhSdPnhhkR6qrq/HDDz/gs88+g7GxMdPW36pVK7Ro0UKv2+jdu3c4fPgwxo4dy3QRmZubM6DG1atXo7q6GhqNBr///js2bdqEiIgIODs76zUf2NnZYevWrVCr1Xj9+jUOHz6MqVOnGggpSyQSjB8/Hnl5eSgsLMThw4cxZswYBihNNyDI5XJs3LgRKpUK79+/x7Zt2xgQc926dbF48WLY29tj/PjxTCanuLgYUVFRMDU1hbu7O44cOQKKorBjxw69sVRQUIAmTZqgfv36vKf+Y8eOMUBvPhs+fDg6d+7M60NLF/Xr14/Xj6Io9OjRA+7u7oJZr3PnzvFiFHVt8uTJcHd3Z51Tr1690psXXl5enLxatB07dozhwOLqXtO14OBgBAcHC/rRHEl8mSUATGcmX/MJbXZ2dgYbd01bt24dunTpguHDh7P+PSsriwmGBw4cyNolWbOzbdiwYahfvz5vppGGMdja2vI+R5rCxdzcnLfT68OHDxg4cCCMjY1Z1zQ6YCkoKED//v0hkUiwYMECg8wbvQc8f/4cvXr1AiEEI0eONFhPjx49ijdv3jBBJyEEXbp0MQjez5w5g127diEzM5MRYvf398eJEyf0gswnT55g7NixeP36NSIjI2Fubg4HBwesWbNGL6ihKAqLFy/Gs2fPkJycjGbNmoGQvzRIdU2pVOLMmTPQaDTYu3cvXFxcYG1tjS+//NIgOKUoignUaOiLu7u7oI5iZmYm7Ozs0KlTJ0Hg/bVr1yCVSkXtOXPnzoWTk5NB5aNmcJmfnw8TExPs2LHD4Bo1g0GaDPWfsI8+qFKpVAgJCYGPj48gqG7AgAFo0KCB4ACKjIwUpVUVHx8PCwsLwVLY2bNnQQgRzDIUFhYaAIy5LCQkBOPGjRP0oxd8tpblmhYZGQlXV1dRxJ779u1jSgtCVl5ejqioKBgbG6N58+aYO3cuunbtytkmW1BQgISEBDRv3pwJbGxsbPDDDz8Y+FIUhczMTOa0R//4+fkZEE1SFIWvvvpKz48QgqZNmxqk6R8/fqwnxkx/hvj4eGZR02g0yMjIYLA69E9gYKBekH/v3j3MmzdPL6hr1qyZHlYgOzsbw4cPByFa8WZXV1eMHTtWbyHKz89H48aN4e7uzpTKam5+7969AyHCUiju7u6Cm/ZXX30FExMTJvvHZdu3b4dEIhEs9X748AEeHh7o06ePYIasoKAAZmZm+Prrr3n9AG25ihBh2Z3KykpcvXoVhBBRXVMTJ04URddAd0uJwYNZW1sLHtgALaO60AGnuroatra2gtejNy8h3iu6WeDYsWO8fgkJCZBIJKycTIA2eFSr1Rg+fDhMTU1ZiTirq6tx8eJFvH79GoGBgVAoFKz6pDk5OZgxYwbS0tLg4uKCOnXqsPpdvXoV9evXx9q1a2Fubg5vb29WvxMnTsDY2Bh9+vSBVCqFv78/a9nvxIkTMDExgYeHByQSCfz8/HD06FGDwOD333+Hs7MzrK2tYWpqilq1amHjxo0Ge5FuQxNNa9OvXz/WLKxarcbQoUPRvn17tG7dWu9Qx2Y7duzAvXv3sHjxYkgkEgwcOJCzNEqv7Y8ePYKzszNnt6euVVRUoGHDhqLIsPPz8yGXy7F+/XpeP0BbdbCyshLcP4uKimBqaipqr/k77KMPqgBtl4tCoWBOgFxs0i9evNBjfOUaIDk5OZDJZIInz4KCApiYmAhS/dO15M2bNwt9FTRq1EgUOeHs2bNFyW28f/8eUqlUUEoH0J64xDA007ZkyRIYGRnh3LlzSE5OFsQE3Lt3D6GhoUxgMXLkSM53oFKpmCBD92fu3LkGJ7Vnz55hwYIFWLx4MZYvX47Y2Fhs2LABCQkJesEkRVE4ceIETpw4gZ9++gk3btzAw4cP8fr1a4OJffv2bSQlJSE1NRWXL1/GnTt3kJWVhYKCAr3MyYsXLzBt2jRERkZizpw5WLBgARYtWoQVK1bojcP8/HwEBAQYBGk1A4GbN2/qZcomT56s94zy8vLg5+cHd3d3pKWlsQq7NmvWjFcSiW61P3PmDKdPQUEBFAoFL79RSUkJnjx5Arlczgv+pp9XVFQULC0tReFRVqxYAYVCIQq7l5aWBkK4aU907eeffxbtK0ZHEdBuOmKzb56enqIYpx0cHARhDc+ePQMhRA+CwGYbN26EpaUl77NUq9UICAhAWFgYJxHn3bt38csvv8DY2JjzO9y5cwexsbEYPXo0ZDIZpx7jihUr0LZtW9SpUwdeXl6s/F7V1dVo06YNQ4URHh7OCk949OgR0ylmamqKFStWsJbST548yRDm0kEmWxZ0//79DL8aIQRr1qxhXdt++eUXPZqcrl27smb41Go1xo8fz/iZm5tzvrOajOpBQUG8wP67d+/CzMwMtWvXhkwmw5YtW3gDn+joaPz++++oW7cuAgMDecuDdFJhwYIFsLS0FIXlWrhwIezt7QXnrUajgaenp2ApE9BCFczMzERh6P4O+xRU/Wl02WP+/PkYNWoUp19sbCzMzMxw7do11rQjbZMmTUK9evVQXl7OC54MDw9nGNz5Iv5+/fpxYh90bfz48WjTpo2g36FDh2BkZCQKXN6iRQtRgxfQ4r9ouR8uIkDaNBoNBg8eDBsbG9StWxcpKSm8/sXFxUy6nf7hw41UVVXh7du3ePDgAa5cuYJTp05h//79gmnt/0bTaDQoKirC06dPcePGDZw5cwaHDh3C5s2b9Tb469evo379+nrPqKYMDB1YSaVSyOVyA96Z2bNnG5Sbde348eMghLAC0JVKJXbu3IkpU6bAycmJc9HNycnBsGHD0KZNG/j7+/PiwWJjY3Hq1ClRguZZWVmorKyEk5OTKDFjQCuvUrt2bVG+tFICn+A3bd9++y3MzMxEgeBr164tqnTepk0bURqgcrmcl3YB0DbQSKVSzg2srKwMFEXB19eXN6v99ddfY+fOnZBKpZxSNpcuXULLli3h4uKCnj17ch6gevXqBWNjY5iYmODUqVOsPpmZmUxwU69ePc6OwhkzZjBzwM3NjVW8OTc3l6HHoTsd2aRsfvzxR4aCgz7QxMbGGrxbOutKX6t169aYP3++wfhOTU1lIAfOzs7o0KEDpk2bZoDVUyqVGDp0KHNfBwcHdOrUCbt372b9ztHR0Xpz39PTk7P7rby8HD4+Pozv/PnzeXGuOTk5MDU1hZmZGZo0aSKIT1q0aBH27NkDqVQqmGC4ffs2CgsLYWVlJSiK/f79e4a0mg+2QweoQUFBGDZsGO81/077FFT9affu3WPKMJaWlpyYgNLSUri5uUEmk6Fr166c16PZoP39/XmFSGkw9owZM3izQTt27ICZmRmSkpJ4AYm7d++GTCbDjRs3eLs3njx5wmQbhJhp582bBx8fHxw9elRwM6FP/b179xYkBi0uLtYjc+vUqROvP6DNbqSkpDA4M0KIqAzex2Y5OTk4duwY5s+fj9DQUMTExDAbwKVLl/Q2kpoBM43NO3funMHYOHToEObMmQM/Pz/W+964cQPm5uaQSqW86XZdnqRvv/2W92RKg4C9vb3x7t073iAlKioKHTt2hLGxsWA2iaIo/PDDD+jfv78g7gvQbkL0Yp6fn88bCFIUhTNnzjAYR6HOy3bt2mHChAm8lCa0UPSgQYPw6tUr1udQUlLCCC8fOnSIsxSfkpKCefPmcb5HQNtYQRMzcq055eXlMDY2hoWFBcaPH8/5bkaOHMm8761bt7JmDejyIb0Gs3WFqVQqBAUFMX7Ozs6szQ009o0QLTfWokWLDJ5taWkpAgICYGZmhi5dumDdunXIyMgwCPguXLiA4OBgTJ06FXv27MEff/zBGhTeu3cPX3zxBb7//ns8e/aMM3AsKSnBt99+i8uXLws29hw7dgwbNmzA2bNnkZubyzv2165dCwcHB3z22Wesncs1jVYgIITA19cXa9as4aW8qEnSyUXwSxut2ODj44OcnBzezz527Fg0adIECoVCMKPUuXNndOzYEa1ateL1279/P2bPns2sZf+UfQqq/rT09HQ4OTkxg4YtwNFoNHoDSy6Xs+J6SktLmYWdEIKIiAjWez558gTt27dnrscVzV+8eJGRxiGEcLbZpqWlMZ1oRkZGnOKz2dnZGDhwICQSCUxNTTlZnAGt7AIt40AI4V0EXrx4ocdKL+bknZycrCc58a/yZL1+/RoHDhz4R7o6/pdNqVTqnUIvXbqEVq1agRAtPxKNe8rIyGBAuhKJxAAf07ZtWxgbGzMdkDUXSlqRnhAtQR9XO7ruuO/RowcnOd/bt2/1Tt6rV6/mXZwHDRrElHF69uwpiPdwcXGBTCZD06ZNBTFiO3fuZA5eISEhvBnP5ORkZi7WrVsXFy9eZPWjKArjxo2Dt7c3bG1tecG0o0ePho+PD5ycnDg3lMePH8Pf3x+EELRt25YzsxcaGgozMzN4eHhg0qRJrAHAypUrmXHQuXNn1g7O9PR05t0YGxuzljDfv3/PZGVMTEwQFxdncD+KopjSvkKhQFxcHGvQSrOpBwYGYv/+/azrb2ZmJnx9fTF//nzcunWLc7ykp6fj3LlzgnJG/wucV1VVVaIZ1QFg7969cHJyQmRkJO8zoi07O5vJDnS8jkIAACAASURBVPr6+nKWZWl7+PAhMy6MjIywZcsWXn96LTI1NUVERARvpyfdlV23bl0sX76c0+/rr7/WO7CLKT/+HfYpqNKx169fMxObS4meoii97ApXbTsrKwsuLi4ghPB2z+luQlxpT4qi9FiXuQC9arWa6QghhLDqZtE2atQoxk+39bSmlZaW6gU9QuB7ujREiFYsV4wVFxczhIViwPOf7O8xiqJw7NgxeHt7Y/DgwczvadkRQojB4kkHXHSWs6YNGDCAySBwlYLy8vIglUpBCMGiRYt4Ny26oUEmk4mSRAoMDGQCOi4hWV1r2rQpEzhwfV7aaG4rQgjq1KnDiwGsqqpiVA24SqW00d+REC1OkMu++eYbxu/zzz9n9aEoitFGI4Rwdnrqyg4dP36c1UeXwZ1rjVi2bBkI0XbNcpXrtm7dCkIIGjVqxJk9p8trXLIzgBYDNmbMGFy9epU3CHjz5s2/xBr+sZlGo8GlS5f+Jd6mcePGwd7eHlu2bBHViLRhwwZmHrIB/nWNoiimqcfPz4/3gEzrWtLBHV+3sO4+LQQb+DvtU1BVw1QqFdOizrcQbtu2DRKJBCtWrOD0yczMhEKhYERL2YyiKIZ6n491PTs7m5HJ4GOrpTEfhBBejaYXL14wAqdc+oW0HT58GIRoeZjELFaxsbEghKBPnz6CvrqWnp4OPz8/UZ2Gn+zvM6VSie3btzMlqufPnzOZhZpZUbqMw4bvoygKTk5OcHV15RQGBrTcaRYWFoJdYoC2Rd/Ozk40CaydnR1MTEw4M0M1rUuXLiCE8OIodY3uEhVzYFi4cCEIIahfvz6vn1KpZAKh1atXc/qVlZXB0tIShBDe1nT6wMSHrZw+fToIIWjVqhXnnKYbPfgwXB07doSVlRUvSWWLFi0wffp0zowQRVGIi4sT5P76JN7+f2MvX75EdHS0aBJfQJsJ9fHxEez8BbRQBXqeCJXsaekkGxsbQamrmTNnghAtz+E/GWR/9EFVSUkJ6wNPSUnR66xiE8E8evQounfvbvB/dQOoK1euwNzcnHWToVnNS0pK4O3tzSmSStumTZtACOEs69FGZwuEskpz584FIUTwhE5RFLN4ijGKojBq1Che4kOuQf7hwwc97hqh1DxtfMK8ulZUVCRaB0qsfMm9e/dE6R++e/dOVCs+IJ4Z+sWLF6LKExqNRpDIjzaKorBq1SoQQgxwE5GRkTAyMmIF/T5+/Bienp4G37FmiWbatGmsz7bmeFWr1WjdurXB3FGpVKzjp7i42CCrIrSY0m37Yt/L/PnzRWM0Xrx4AalUypn11rW4uDjerBFtdEaXj+Byz549IITw0knQ7/fChQucPt26dUObNm1QXV3NKv1SXV0NNzc3g+4yXXzcq1evOLn93r17JypQUqlUguSxtPEF87qWlZUlaj6UlZWJmot09keM3b9/X1T3aHFxsSBuCdCOcaHsHW35+fmCDUS00c9c6Lo18ZAFBQXo3bu3ATZKrVazvu+zZ8/CyclJL0jiuueNGzcgkUiYrCjfZxsxYgS8vb0ZxYp/KrD6qIOq0tJS1KtXj/PUp7uITJgwAUOGDDHwuXr1qt5AOX78OLy8vPQ22dTUVIOF5fXr12jQoAGzIN29e1evBKNrgwcPRmxsLDQaDYKDgzlBo4mJiejZsyeePn0KGxsbjm+tXXiaNGmCjIwM2NjY8ILPBwwYgISEBNy/fx+urq6cfgcOHEBYWBjz76qqKvTt29fA78OHD/D39+csFehafHw8mjVrJpimLigogJ2dnSgM17hx4+Dm5iaoTXX58mUQQjB27FjezJlGo0GDBg3g4eHBEG9y2dKlS2Fqaoq5c+fyYtMyMzNBCMGAAQN4cQBqtRo+Pj7o0KGDoHL8zJkz0bZtW8FAe+/evQgKCkJlZSW8vLwMgqfly5dj6tSpSE5ORlBQkN7Yv379usFYunr1KurUqaMH1GbDOZWVlcHDwwMHDx5kfvf+/XvWZ79y5Up0797d4Fn/9ttvepnjoqIi1KtXz0AlQNfmzJmDefPmISYmBpMmTeL0o43umhU6iABaYK+Xl5cgBUJKSgr8/PxgbW3NGqzS9v79e3h7e0Mmk/HOCfo0z3ffnTt3onv37li2bBnnYa5Hjx7Me0tOTkbDhg31yi3Z2dkGEIMHDx7A3t5ecH69fv0aXl5evE08gDbw6ty5M5o2bcobgBUXF+Pzzz+HVCrlFGwGtIfoBQsWQCaTGWQFda9fUlKC1atXw97eHs2bN9cba0VFRYxvWVkZNm3aBE9PTxBC9O5dXV3NlF+rq6tx5MgRBktY893ozvPMzExMnjyZYVSvKSdGH9o1Gg2+//57hiCYb5xrNBokJibC1tZWUDlAo9Fg3rx5ohQySktL4e3trVdeKywsZD3o7dq1C82bNzc4ZO3atUvvkFBZWQlPT09W3NbJkyexcuVK5t+RkZGcnekREREMRvfKlSto2LDhP1IF+aiDKkDb9kl3y/EZLUDKRVhHG81RVROYVzOTQWuDzZgxg/kdV2Zk5MiRjHbgw4cPOdtId+3aBVNTU6jVal5Cv9evXzOn1PXr1/PWyENCQphBy1dyOHLkCCQSiV5mKT8/n3UhDAoKElVu+eOPPyCTybBu3TpBX5qUU6gdNy8vD927d4eRkRFWrlzJTP6aGzRFUUhKSkKtWrVga2uLxMREaDQavHnzxuCE+/z5c0aQulWrVgzOLikpSe+6VVVViI+Ph729PaytrREbG4sPHz4gJSXF4CR+6tQpeHp6wszMDMuXL0dFRQXy8/MNgqybN2/C3d0dzs7OBrIOupaZmQkrKysMGzaMN/CjyS1v3ryJs2fPGtxv3759yM/PR1xcHFxcXDivA/wlSRQcHCx4Spw9e7ZggA9oNztbW1tWfq3379/r3WfXrl2QyWS8ZYvExEQUFhaif//+nA0lukbPHaGSOaClVWnUqBFOnjzJ63flyhUQQjBp0iTejKdGo4FMJkOHDh0E761QKLB06VLOv586dQq//fYbWrVqhQkTJrD60Jg0iqIQFBSE3r17896zsrIS/v7+aNGiBScxL6BtPvDx8YGXlxfvYeDu3btwd3dHnTp1DNZnjUbD0MGcOXMGdevWhYODg0GDUUlJCX755Reo1WokJibCyckJNjY22Lhxo95nfPnyJRYsWICioiIsX74cCoUClpaWWLhwod5G/OTJE/j6+iI7Oxvz5s2DjY0NzMzMMGHCBL31++3btwgODsaWLVuwZMkSODs7QyKRoHfv3khNTdVbdzZs2IDw8HBGI5YQbcfixo0b9bLqSqUSI0eORE5ODvbt28d0P/fp04eVOJYO8DIyMtCqVStIpVLMnDmTt7uusrISgwcPhrGxMSu1hK5RFIXhw4fDzs5OkDtOqVTCw8MDY8aMMfhbzbFC7yVs13z+/Dmzp6jVajg7O3MG5rpNTzNnzoS3t/c/kq366IMqtVqNTp06wc3NjbedFNBKNdDcU3w2ZcoU1K1bV7Ak9MUXX8De3p53AQK06XwTExPmvnypUUIIHj16xFsSUqvVzKQRygINGjSIaTfnOynS2RUhuR9A28FjY2MjqmT2xRdfwNzcXJTSOF0epTtCuK6v0WiwceNGmJiYICwsDK9evcKiRYtYg8vi4mJERkZCKpWiVatWWLt2LTp16sR67Zs3byIsLAyEEPTv3x+1a9dm7SgrKSnB0qVLIZfL4eLigg4dOsDLy8sgsKqqqkJsbCzkcjnq16+PL774Ap6engbp+/fv3yM8PBwSiQTLli1DeXk5KzDz9OnTkEqlvBkMiqLg6enJBPs13zn9jGbPng2h+fnDDz+AEGGm8Js3b0IqlfLyvtG2evVqWFpaCp6gAW35SgjXR4//li1bcoqU65pGo4FUKsX+/fsFfRMTE2FmZiZYbq6oqICxsTF27twpeM2GDRuKIvd1dXVFbGws59+rq6tRWloKIyMjvewgm9GKDnxULoAWp2VpacmKo6HXo/z8fPj5+cHDw4OVZuLSpUv48OEDjh8/DgsLC7Rt25Y10I6OjkZycjJDijlw4EADCEB5eTlCQ0MRHh6OJk2awMjICNOmTTNY5x89egRXV1fUqlUL1tbWsLGxwdKlSw0A0z///DPs7OwYfKmLiwtWrVplkP24efOmXrOAo6MjoqOjDQ4olZWVeg1DEokEvXr1wunTpw3mXVlZGbp37w5CCFxcXCCVSjFs2DDObunExET06dNHb+3iKhmrVCo8f/4chYWFCA0NhZWVlajyNt04Iabq8O2338LIyEjUOt69e3deuiLaaPywEExDrVbDxcWF95Dxd9pHH1QB2olet25ddO3aFWq1mrPk8ubNG9jY2DCadVzBzYsXL2BiYiJIePb8+XMQQljlU3SN7jriY7AGtIuIGFwGANSvX18wqwNotf+CgoIE/aqqqiCVSkV1aGVlZYmejFVVVWjUqBG6dOkiqi6+bds2EEKwdOlSzJs3j5cf6NatW/D09ISdnR3kcjkvWeRvv/2G1q1bMwvgkCFDWINMiqKQkpKiR8Cpm67WtTdv3mDEiBGMH1tgBWizn0OGDGH8mjVrZnDapCgKmzZtgkwmg5+fH0xMTFjxGHTgmZSUhFu3brF2z6xYsQIODg68wf6gQYNYy7u0qVQq+Pj4IDw8nNOHoiioVCo0a9YMISEhgvia0tJS2NnZ8RK+0lZQUAAjIyPezlZdq1u3rqiMKKClYYiLixP0u3XrlqhFH9BycYkh9ezevTtGjBgh6Ofs7Iz4+HheH1rPlA/fQ1EUQkJCOHUey8vLUVVVxQTQXM973bp1yMzMhL+/P+rVq8falUjDMWidvPHjx7MeXg4cOABCtPQM9vb2OHLkiIFPZWUl04RAiJatnK20evv2bb0uzb59+7JmNvfu3ctQCtCdjGxz58CBAzAzM2P8TE1N8euvvxr4vXnzhqERoH+4guWCggKmxEeIVnOUr0z8ww8/MN21tra22LFjB+/ciouLw/jx4+Hj44M6derwlrYpikJeXh4yMzNhbm4uKsBXKpVwd3dnFT6uaa9evYJUKhWUyQK0yQs+njXaLl26BEKIaJzqv2ufgqo/7dq1azAxMcGECRN4uWK2b98OqVSKS5cuYcOGDZx+kyZNgpubGyorK3mpDdq3b88AWfnKcF5eXrxSHrR5eHiIkrEIDQ0VhSFZv3496tSpI+gHAN7e3rzK77oWGBjIYDmEAiWaFHDv3r2CGAxAixeRSCQwNjYWnMh3797V0+jjYnWvqKjA2LFj9RZBrm7NS5cuMSda+ocN71VaWopevXoxDMxcgZVarWY6Weif0NBQVhD/9u3bGZ8GDRqwgnGnT58OU1NTBAUFsWa06KA3OTmZM+MZHBzMiWVIS0tDYmIijIyMeIHDy5Ytw4YNG2BiYsI7RyiKwv3797FmzRpYWFgIZpQpikJiYiJMTU0FBZoBbfbJyMhIVPYJ0Mr48Mnv0FZVVQUTExNWcsqaNmXKFLRs2VKUnxiRZisrK0Gts6ioKHh5eXH+/fHjx7h48SIIIZzdlAcOHEB0dDTs7Ow4sVlFRUVQKBSwsLCAq6srZ5efrhRLdHQ067pw48YNpmuZEILZs2cb4ASVSiX69OmjN19CQkIMMoaXLl2CtbU1CNFybPn6+mLIkCF6QaZGo8HixYthaWmJxo0bo1evXpg6dSoTJNJGi5iHhoZi8ODBmDVrFtavX4/9+/cbBFX3799HWFgY2rdvj2HDhmH+/PmIj4/H0aNHDRQunj9/Dm9vbxCi5UVs3rw5hgwZwrlOXblyRS+oa9SoEW/1IDs7m5HxoUk6+ey3335DREQEGjVqhNatWwtWOu7evctkqfjEs2msWGxsLBQKBS/2k26acHJyEsy6A8DUqVN5FSL+bvsUVP1pL168YE5IfGUsjUaDoKAgyGQyNGzYkPN6NFlamzZteIOhXbt2wcTEBGvXrmUV5qRt8uTJaNGiBVJTU3nLCX379kVERAQyMzN5g5Vhw4ahZ8+eyM/P5y0VHjx4EEZGRqiurhYk2OzXrx/Cw8Px4MEDwUBp3bp1UCgU2L17NydBJG0URWHs2LGQyWQwNjbm3SjVajUWLVrELCx8/EMUReG7775Dz549Ga0uW1tbzkxlXl4ekpKSMH78eIaRnCtjoVKpcOfOHSQmJuLzzz+Hn58fJ86ttLQUFy9eRFxcHAYPHowePXoYYE2qq6vxyy+/YPXq1ejatSssLCzQu3dvvUWttLQUCxcu1Cs9DB06VO9dKJVKJCUlMfQcXl5erKfYdu3aoXfv3gYbZUlJCSoqKjgzncXFxbC0tISTkxOmTp3K+n0B7fwgRMs/FR0dzekH/NXUYW9vL0p6ZsaMGejYsaOorrv8/Hzk5uaCECKoLEBbt27dMGrUKFGEs82bN0dkZKRgCZRWQmADf+va+vXrUbt2bZSXl7Pev6qqChRFwdjYGPv37+fskjxz5gwvngoA/Pz80Lx5c4T+f+x9d1hU1/r1HoZepAvSVCyIgC0oCEaxgSIqij3WxBJbjCJgF0yMBmNvUaNBo0ZJ7MZITCzYK/ao0SgIIiBKG8qUs74/5p6dOcxpuTc39/6+63qeeR6FzbSzz97vft/1rvXuu4JjWNsoOzs7ZGVl8c6lOXPm0PnYunVrXnkM1lmCfXTv3t3ocJGXl0e1/+rWrYsPPvgAhw8f5hwutFotBg8ejEaNGmHEiBH48ssvcfv2baM1rri4GEuXLkV6ejru3bsnmJWtqqpCcXHxf0T3ivUaPXHiBHJyciQzuffv34ejoyPs7OwQExODlStX4vbt24LvnWEYju6cpaWlpMzJjBkz6Ph9+/aJUjgqKyvh7u6O+vXrC+qqsXj9+jXef/99NG3aVNISbePGjVT7TOxeuXfvHtatWycZfP3VeBtU/QP37t2jQoCE6P3S+MBqMLEPvg24srIScXFxdGOPjo7mfa7bt29zJjVfGhvQp567desGhUIBExMTwVbgRYsWITQ0FPb29vD19RX8rPPmzUNoaChcXFxEI/g9e/ZQeYbAwEBRY87k5GSEhITAwcFB0kT29OnTnM8tZei6f/9+ju+WVLm0rKwMycnJNAPFJ3tRG4WFhVi/fj3Cw8PRrl07WXyv33//HV999ZXsdu/S0lLZWjtSMglqtRqXLl3i7XTSarX4+eefMXLkSNjY2Bh5wB09ehSenp70+6xdhl29ejVV5baysuL8rqioCE2aNIGZmRmioqKMLIIMFbZdXV0F2+k3bdpEx9na2oq29rOcHjYIFBurVqvp2JCQEEme0pEjR6j21NChQ0UPNgzDYNKkSQgKCoK3tzdtHhEam5SUhMDAQNjb2yM4OFhw7C+//EL93erUqSPYmr9161bExMSAEAJfX1/est2DBw/QtWtXEEJ4rw+g78BVKpUwMTFB165deQ3dy8vL6ffo6enJK89QWFhIDyMKhQLz5s0zmrcvX76kmRAfHx/s2rXL6B4oLi5GvXr1YG9vj48++oh3o6ysrMSoUaOQlJRk1HFtiNevX8uWDPj/CTqdDtu3b8eFCxdki3qyfrd2dnaSVAlAf1B0c3Oj8+KDDz4Q9Y69fv06HVu/fn3s379fcOzjx4/p2LCwMCOjeEMkJibS0uqYMWMEDzdXr16lzxkVFSWrueSvwNugygDV1dXUK8jJyUlwY926dSu1oBHqiDNUVPfx8RF8zUmTJtELL/RchYWFcHR0pOOEbhrWd4+dmELYv38/HSfElQD0Gyibajc1NRUNNFh+BiFEsjyh0+nQrVs3Ol4OKfL06dP0O/jwww8lx7Pvf8aMGbCwsPhT3k9Pnz4VTVX/X0J5eTm+++47o2tXUlKCCRMm0KyAIYqKijjZrtqneMPf1eYLLVmyhP5OrPzUr18/EELg4eEh6lEJAMuXL6fPKcV7Ki0tpWN9fHwkBQvZbj5CCJydnSUlJwytL/g6mQyxd+9eOrZXr16C42pqamhLvtjp+9mzZ5QrU6dOHd4MBMMwHAcEvudiGIaWnO3s7HiJ4CwfjBBilBFlsX79evq9CdmWTJ06Ffb29khNTRX8bpcvX46vvvpKtAHo/4JVzP8llJSUoG3btkhNTZX02mPBrvG2trayuIqsXhohRDLDfPnyZTq2Y8eOolQYQ6NsMS22zMxMOq5Tp05/2xx6G1TxICMjA+7u7tizZ4/gmJ9++gl2dnaIjY0VHHP37l3KrRHKLlVXV6NNmzYgRNwrj+XKmJqaCo5hGIZ67w0dOlRwnEajgY+PDwgRV3EH/lBnFhPyZF+btQiRQ6TNzc2lQZIcwjqgb/Fu2LAhGjRo8KfS8Tk5OVi3bt1b6woenDp1Co0bNzYKjs6dO0ezELW7m1i+iqEuGYt+/fpBoVCIZojUajXs7OwQFBQk2YoNAO+//z4IIbII6qxXoEKhkCXGyKrAE0JkcRZfv35NM9BSRt46nQ6tW7cGIXrStRi+++47ugGIccZYb0Mx3iereh8UFCQ4hs3iCvl+stY5Qtw9QO8DGRYWJngNX7x4gcTERFmdmm/x96KgoECy67w2hg0bhpYtW8oWWGXFpSdOnCi59rIBm5ubm6TmHiuAGxUVJfq8bIbbwcFB1jrzV+F/PqgSOj0VFhYaLZq1o+fbt28jICDA6BRneKGvXLkCW1tb0Xbkx48fo06dOqLcEq1Wi3bt2qFOnTqCYwC9ZgshRJKn8vnnn4MQgrS0NNFxly5dknUqB/5ooZcypmXBbiRy7EpYFBQUICQkxOjGlnsK0Wg0shcTuQrkcs2cKysrZT+nXJG6oqIiWcGiGCdOpVJxSrvsPGfnSG07iPnz54MQwmue6+3tja1bt3J+VpsDl5mZie7duxt9F0Kq+O3ateMszGKfl+2onTNnjuCY2oiKioJCoZCdnWQPGnxdXbXBbhZS7dwMwyA0NBQKhUJ0LrMnejGOytdffw1CxDXb3N3dedcuFrNnz0bLli1ppq+2ovrTp0+RkJDA+/dsSUhqXhqKaIpBq9XKLunJvYY5OTmyMjTl5eWiYqIstFqtqPimIR4/fizr86hUKtEuP0NIWbawqKyslNW8AXAlacrKyjBz5kze/VLoOkdGRmL48OGyrvGuXbtgYmIiWtpnMWLECLi4uEgGX+x+JESr+XfhfzqoUqlUCAgIEBW1ZJGYmIhhw4YZ/TwvL49zcY8fP47WrVtzJt/JkyeNOotevnyJ0NBQSoj//vvvBctaEydOxNq1a3Ht2jV4eHgIvscdO3Zg5MiRCAkJEZVzePToETp27AhLS0tRuwtAv4E0aNBANM0K6LuARo0ahRYtWuDrr78WHMcqJLMln5EjRwqmklNTU3m/E5VKxTHLffz4MW+2RejzDB48WDIIO3HiBFxcXCT5XtXV1fD19cX7778vyi8A9BtVgwYNJH3pbty4ASsrK6SmpoouSDqdDi1atECvXr0kF+nPP/8cbm5ukgHs6dOn0bhxYxQUFECn0yE6OtpImmHfvn1wcnJCbGwsZ0F9+fIlJ0hnGAazZs2Cn58f5364desWZzPWaDRYsmQJLC0tjV5Lp9Nh3LhxnO9h9erVGDx4MO9ifv/+fQQHB0OtVqO6uhrt27eXDH5mzZqFwMBAUWI9i+LiYrzzzjtQKpWSpcJPP/0UM2bMQKdOnYzEgA1x4cIFhIaG4uTJk3B1dRUcV1lZiaioKAQGBopKOrCK6kJSHgDQuHFjnDp1CosWLeLtZIyPj+eUBXft2oX27dvTjVboYHLy5Em4ublJ3osXLlyAl5eXpOzDpUuX0KZNG0lKwYULFxAZGQmlUsmxHNLpdPQwwTAMTp06hbi4OCiVSk7jiFqtpplNrVaLEydOYMSIEbC2tuZkBTUaDVasWEHlQE6ePImJEydSrpEhx/b48eP0MH3//n188sknlLdrqOau1Wqp6bBOp8PJkycxZswY2NnZwd/fn/M5GYbh3Avnzp2j/FSpoC4rKwvNmzeXVFQH9IcBHx8fytsTWy/79euHNWvWGP180qRJnETEiRMn0KVLF951cu3atViyZAmAP2zRhErKAwYMoLzaxYsXC8o6fPvtt7TRJisrC+++++5bRfW/I1O1cOFCmJiYCLaosmC7U6RqyTk5ObC0tDSSW6idQmftTQyNWYWsHYYNG4YuXboA0PMPhLBhwwbY2dnhhx9+EJyQgF4VmBCCuLg4yY2BbSOWCi6WL18Od3d3pKeni5ZdtFotrKysqNBjaWmpYNfVxo0bYWFhISmeqNFo0LZtW7Rt21bSQf3EiRMwMzPDpEmTRE/SKpUKvXv3hoWFBW9GxhAHDhyAvb09goKCRE+1L168oBIK06dPp3Oi9nvWarX49NNPYWpqis6dO9PUNd/7zczMRP369eHq6sqZw7XHFhcXY9SoUfS6sxtmbR7Lmzdv4O3tjZiYGDAMg6KiIqPT8pMnTxASEmIk/mn4mhqNhtqG1M5cGX7mhw8fIjQ0FGZmZliyZInRd6HRaDgBWFVVFTw8PDhOBIZ4+PAhzWKePHkShBDJ7EV6ejr69++PNm3aiI4D9Petg4ODKPGcxZIlS+Do6IjMzExRki7bCXn48GFepXhDeHl5YciQIZLODg4ODqI8ls8//xwMw8DX15fq7hnC0M+tsLAQzs7Okpvx2bNnYW1tjbi4OFED+VWrVsHU1BRRUVFGpU52rr969Qrjx4+HQqHAu+++ayRfkJycTD3vIiMjaUn0+PHjdB5WVFQgLi4OBw8exJdffkkbEtq1a4dvvvmGBog5OTkICwvDwIEDkZSURJs4goODsWbNGroRP3nyBGFhYahbty4mTJhA9a0CAgKQnJxM7xOVSoXJkyeDEL1Rt7+/PwjRN26MGzcOGRkZdE6/ePECERER6NWrF2bPnk1pGS1btsTy5cs5B3adTofp06cjPz8fx48fp+rrISEhOHjwoNEBjP0edDodli1bBnNzc4SHh0saLv4kUQAAIABJREFUV9+4cQO2trYYPny4ZLaRldyoraHIMIwRj3P48OGC983ly5fp+79586ZoJvjQoUP034GBgYJrwZkzZ2g2fP78+fD09PxbTLn/9qCKEKIkhGQRQo5Kjf07giqGYTB69GhYW1tLWtVMnjwZderUkZyUs2bNgoODg2RZaMmSJbC3t5fMcGzduhXm5uZQqVSiJwZ2E3n+/Lloipc1npUj1Nm+fXt8+OGHRqaZtbFjxw6YmppCo9FIppdDQkJkZQVKSkpgZWXFewqqjTt37sDMzEyWgON3330HhUIhWabUaDSYOHEiFAoFPdUK2ag8efIEbdq0ga2tLfbs2YPi4mLezjeGYbBlyxbY2trC398fV69eRUJCAm+m6cqVK2jSpAkcHBywd+9eHD58mDdgLSkpoSKi7LUSOr39+OOP8Pb2hqOjI7Zv347ExESjYP706dNQKBSC2U6WP1db50yn06GkpASVlZXo06cPLC0tOQsgi71792L//v1YvXo1rKys0KpVK1leeoA+0DYzM5PsVAL096FUJyqgL6HGx8fLCqoAIDo6WtKyBfijo+nHH3+UdGEIDQ3F8OHDJQ3EBwwYgOjoaMmDRpMmTURLjhqNBllZWSBEWvF+2LBh8PDw4C2XsZvuxYsXYWdnhz59+hhlsXQ6HdLT01FaWooBAwZAoVBg0aJFRhvc1atXERYWhq+++grOzs6oW7cuduzYwdnYGYahzURCwRSgD5RatWpFeajm5uYYOXKkUTbn6NGjHE05Ly8vzJ49m0PwZxgGW7duha2tLR3XrFkzpKSkGDUCXL58mepKkX80PE2ePBmnTp0yCjR/+uknyucjRK+UnpCQwKuSXlNTQztEWXuabt264eTJk7yBT3V1NebOnYvnz5+jS5cu1JZL6tCZnZ2NevXqISIiQpImwTAMQkJC0KVLF1mmy9bW1rLW8k8++QR169aVDIDYjKxYAoFFQEAAJ4Hx78R/IqiaQQjZ/d8SVAH61G/37t1Rt25dPHnyhKZia6OyshL+/v4IDw+HRqMR7IYrKSmBs7OzJAk8Pz8fpqamkrwmdvJItYS+ePEChBBRDzhAfzOYm5tLvi6g55sIifoZ4tixYyCEyOIpjB8/XpaAIQCMGjUKQUFBsnhDn3zyCSwsLPDrr79Kqq+zLf2rV6/GmTNnBFWlGYahHW3Tp09HZGSkYOajqqoKEydOBCEEXbt2haurq2Dd//fff0fHjh2hVCphb2+PDh068C5i5eXllJhZv359uLm5CUo4fPvtt3BwcKCnXSHvrrKyMtp1amFhAVdXV6ODQlJSEqysrPDrr7+ipqbGKAtlaWlpREbfunUrli1bhg4dOsDBwYE3u3nz5k1YW1vDyckJSqUS8+fPl81xU6vVqF+/vqzyBaBXKZfSvGGRkJCA1q1byxr76aefwsPDQ9acfOedd2QpSa9YsQJ2dnaSmeNly5bBxcVF8rUbN24sWv4D9NIqHh4egs4AgD7oIITwBscMw+Czzz7DtWvXYG9vj549e/KuiStXrkSDBg3QpEkTuLq68nbiPnr0iGZ+TExMMHnyZKPOTa1WyxEIdXNzMwqmAH0p0LD138rKykh3UK1WIyEhgY5hH7WpIEVFRbRT1fDRsWNHTqCsVquxcOFC2tzBPpydnY10+DQaDebOncsR/SVEuLO1rKyMow7v5OQkWdKeNGkS7Ozs4OjoiMaNG0uOP336NN68eYOAgAA0b95cMmgH9DQAQohkMgL449Atp/wWEhIi657ZuHEjrKysJO+Zhw8fghAiuK//1fhbgypCiBch5BdCSJf/pqAK0JehWrZsiaZNm8LNzU3QUykrKwvm5uZISUkRNaddvXo1zM3N8fvvv4uS1OPi4qj8gZSiulRbKsMwsLe3l+xKAvRlhNTUVMlxAwcOlCWiyGqC8Pl+1caGDRtga2srKxV79uxZeuPK0W5q3bo12rdvj/T0dEkfQlZzrFmzZpK+bzt37qQ2FVJdJ4sWLaILYLdu3QQ/Z35+Pho1akTHCgUAOp2OdnQRopfLEApEjh49ShdrMc5cQUEBwsPD6XM2b96cExDX1NSgTZs2aNOmDZYsWcKRPbh16xYIIZyfvX79Gi4uLiBEL5PAd/8UFRWhfv369DXHjx8veXJmkZubi23btkkqM7MoLCwEIUS07GaIxMRE2UEVmxHms1qpDVbkVipwZK2opDTY2DZxKQ81Hx8fyaxts2bNBK1x9u/fj2vXrsHLywuDBg3iHfPjjz9CqVTC0dER3bp1482y3bhxg2rMOTs782b58/PzqZgumy2qzTusqanB4MGD6RiFQoEmTZoYmVXv2LEDdevWRUBAAKKiojB27FgkJycbZTOOHTuGZcuWYfPmzUhPT0dGRgYuX76Mhw8fcu7t/Px8PH78GM+fP0dRURHKysqMDhmA/sD98uVLvH79GhUVFVCr1YJrxMmTJ7Fy5Ups27YN33//PU6cOIErV67g4cOHRmtFQUEB3nnnHfq5PT090aVLF1Edp+3bt3MCMKk1+fXr13B0dERYWBjc3d0l5/Xt27dRWVkJPz8/SRNy9jvo1q2brOzuy5cvoVAoZFmtxcTEyHrOpUuXwsnJSfZa86/i7w6qvieEvEMIiRAKqggh4wkh1wgh18T0nf5qvH79GkuXLqWTceTIkbzjGIbhKAQLqYHX1NSgUaNGCAoKEm1/Zrv1li9fzivCx4JVVL948aJoi3JISAgmT54s6ucF6E/xM2fOlCw3vP/++zQwEAtq2K6rixcvSp4cLly4AEL0xs9SmwPDMPDz88OIESNkZSiysrKgVCphYWEhelJnGAb79u2jJ1pLS0tBsrdWq8W0adM4J0shuY3CwkIMHjyYI1bKEjBr4+LFi5g8eTJHV4jPVPjp06eYPn06Rx+KbzPUaDRYu3YtOnToQMc1aNCAd76wMhM9e/akWmRRUVGchefatWv05M3KGdy5cwdbt26FpaUlh+tkqLfm6upqFMyo1WpqNk0IQfv27ZGamiqrC6q8vByBgYFo3LixrKzpkSNH8M0330CpVErqVAH6uZCYmIhWrVrR/4uhoqKCGhFLZQBYy5+0tDRJIdKwsDAMHTpU1AiZFe7ctWsX79rDvvd69eoJKvjv27ePckSFuq1YkrajoyPvNWIYhkrBEKIXS649zyoqKuDn58cJlmpngkpLS2mZrmXLlpg+fTqOHj3K6QxlGAarV6/GjBkz8PXXX+Pq1au8lAmGYSRpCv+XwDAMdu7cid27d+P69euyPltWVhaV/DAzM0NMTIxkgGKoLTd58mRJMeOkpCTarCElr3DgwAHs3LkTCoUC6enpomN37dqFTZs2wdzcXJRCcv36ddrMI9aQVVJSgu3btyMkJERW9/pfhb8tqCKExBBCNvzj34JBleHj78xUqdVqLF26FFZWVrQOz8fbuHLlCtzd3ekkFNK2SUlJoSd3CwsL3pNqfn4+xo4dSwX9Fi1axPtc33//Pfr37w+FQgErKyveFCrDMFi0aBGCg4Ph5eWF9u3b8z6XVqvFxx9/DH9/fwQFBYmeNObOnYuOHTvCx8cH3bt3F8y4ZGVlUfuCrl27imbK7t27h1mzZtENX8qfbNWqVbRjxsXFRXRsSUkJJ/si5aV28+ZNTgAiplOk1Wqxf/9+aoLq7u4uumG/evUK69atQ3BwMExNTUWzlTqdDhcvXkRiYiKaN2+O8+fPC447f/48pk2bBk9PT1GvutzcXKxevRrh4eHo2bOnaEBcUVGBQ4cOYfz48TQALC0t5Qi0NmrUCAzDYMiQIfDw8ICnpyfmzp2LqqoqXL9+nQac3bt3x+nTp40CkxkzZiAyMhIbN26UbIWuDUNl5DZt2kjqmrEBgZubG+bOnSt5cJg5cyY6duwIT09PDBo0SPRQoFKpMHfuXLi5ucHFxUV0sa6oqMDMmTPh4OAAQoio1+bmzZvp3LWxsRF87Tlz5sDNzQ1ubm68r52fn4+4uDjY2toiJiaGNxu9ZMkS6s4wffp0o+uh0+no2kUIwbBhw4ykE1g1bjYY4ivpffDBB7CwsMCQIUOQkZHBOwfT09ORnp7+t3Rl/f+O169fw8/PD7169UJaWpqsA0V1dTUVqVYoFJgyZYqk7Aur2G9lZYWhQ4eK3i+swT0hBOPGjRPNMsfFxcHMzAxeXl6YN2+eYHb3xx9/pIfW8ePHC5YfCwoK6LokJ7j8q/B3BlVLCCG5hJBnhJCXhJBKQshOsb/5T4h/PnnyBD169AAhwq7hL168oJuxkBBldXU1x4qldqs4i9TUVNHsA6BPidrb29NxQlE864dEiN5tXQgs0ZMQcfFPw+fr3bu34DidTscp64gRXxmGoYKIhEgLfz579gzOzs4gRM+1kCoBVlRUUGsdQoggsdzw/ezatQv16tWDjY2NpFAhwzDIzMxETEyMbOLj3bt3sWHDBlnlToZhJN8zoP/Ob9y4IYvX8/z5c0ENKL7XZ59To9HQAJjNyn788cf0/0lJSdDpdAgLC0NsbKzg4qbRaGQt8EJghSgJ0eszSX1mQ96NUJbQEHLvGxasTQYhep6dGAwV2IWy34A+o8UKciqVSsFxht5rQusTazFECOFtlkhJSRFdc1htOkL0jQ983an+/v7w8PDA119/zXtPPnjwABs3bvyXrvtb/Dn89ttvsrhQhti2bRsNjOXobLEUE0L0HE8hn1QWhtUfqeakAQMG0LFiMkeGtlXt2rUT3BMM3RI8PDxk6wn+q/jbgirOk/0XZqoMwTAM9u7di6ZNmwoSr9VqNQ1OhCZjdXU1+vbtC0KIoE4NwzBUJVmIuwD8YQlBCBGsDVdVVdFTh9hif//+fckyFqDPtrB2PLUlImojOTmZppylyn+G5qlSvCdA3yXDnjjE1KZZsM7yhBAj3zshlJWVISEhQTBbyIf79+//aVXi/zbIEWDcv38/7Ozs8G1MDF7XqQMdIchWKFC+aROys7Npu7tcUUGdTvenvrfZs2eDEILY2FhZvAi2nV1M3NIQLJ+JCJRfa6O0tJSSqqXI4AzDICoqSvL+BrjBo9DnLC4upk4EQpypmTNnghC9lQ0fcXzevHkghMDPz4+3jLZgwQLa8coXwO7btw+ffPKJZNfyW/x3g2EYalUj1y/w0aNHsgMq4I97t1WrVpL7AhtUde7cWXRNOnHiBN1rDKU2aoNt8CJEXofgX4X/+aBKbJF+8+YNh/PDd6H37t2LhQsXCj5HTU0N+vfvL3pKLS8vR0BAADp16iQ4RqvVIjg4WPQUCwBffPEFCJG20GBLDVLyEH369BENHFlkZ2dDoVDI0u8xtNOREyQBepE3QsRdyWtj586dGDJkCO/rC8EwSyRXpV1ugPBn1NylWvBZ5OXlyQo08vPzcfLkSWRlZSE7Oxvl5eVgGAZXr15Fw4YNkZKSQhfJs2fP4vHjx5wNOTc1FSqFQr8U/OPBWFlBu2MHDh06hL59+1ITcp1Oh1evXuHhw4e4cOEC5f7k5uZi0aJFeOedd+gCq1ar8eLFC9y8eRM//fQT7z3Wt29fRERE0L+RylSxhx0h3Tc+sLweKS4iC9Y2SkzUk8WLFy/g7OwsmQVjGIaSscUCVNYLkU//C/hj03nvvfd4f5+YmAilUimYWYyIiODt9mPvB6kNWO7cLSkpkTV3NRqNLO4dwzC8Gz3ffMnLyzM6MPMFiWVlZUYlq1evXhnNU41Gw3tA5AskcnNzZa17Go1Gtr2K3AyVITe2oKBAcv2vjd27d8PHx0dWQAXouZa2trayFN8HDhwIa2tryUYU1rRdbN8F/pA0ESu7/zvwHwmq5D7+3UFVTU0N2rdvL6nqC+jTmEOHDuW9QQ3TiufPn0fHjh05N6harTbSRHr16hViYmKo8vCjR48EeVBz5szB119/jWvXrona1Hz33Xf46KOP4OTkJBqZP378GKGhoXB2dpbcoKKjo41IyXxIT09Hw4YNJUtiBQUFGDZsGHbs2AELCwvR11+1ahU9jet0OvTp0weZmZlG4x48eIDOnTvzpndv377NeY0PP/xQlAjM4ueff0aLFi0kF3OVSoWWLVsKkoINkZKSguDgYMkF5t69e3B2dsbmzZslr09ERARcXV0xefJkXLhwgY4/e/Ys55rt3LmTntrYh5mZGUcnhxC9nx+bFVQoFHB3d0fbtm1RaG3NCajYR84/+ICE6FvcnZ2dKUeQfbRs2RIxMTH05/b29vDz8+OYhLMPvs1myJAhHJ7HggULRDOxs2bNwrhx42iQIsZnYzF8+HA4OztLjqupqcGQIUNw9OhRBAQEiGq9paWlUTuZAwcOIDIyknfcw4cP0bFjRxQUFOD169fw9vbm5RhptVqMHj0a+/btQ8OGDXkDH0C/kZuZmQmKIn788cdITk4GoP8uDQWFq6ureQ2uFy9ejOjoaNEMglarpcr9YmTn8vJyfPbZZ1QrzRCG93BeXh5SUlLg5eWFnj170p+zlQQWd+7cwfz58+Hn5wdTU1Nawq+urkZycjKuX78OtVqN06dPIykpiXI02axkeXk5Zs+ejYULF+LNmzc4cuQIZs6cibZt20KpVKJz584A9Nd+5cqVaNeuHUpKSvDjjz9i3rx56Ny5M6ytrTl0g5ycHAwYMACZmZl48eIFdu/ejXHjxqFJkyYghHAU8SsrK2kXo1arxalTpzBx4kTUrVtX0nO1uLgYCQkJsLKy4lhN8UGtVmPYsGGyNAJZikvtzsHVq1cbBWKLFi3C2rVreZ/nvffew7fffgtAz2EdOnSoYPVn4MCB1Llj9OjRvDw9QO9XGhAQgOrqamzcuFGwuvDgwQP4+vqivLwc9+/fR1xcnOxD/L+C/+mgCvij80Fqo83IyIBSqZQsDz1//hy2trZG3nu1sx46nQ6NGzfGuHHj6M+ECMoDBw5E9+7dAeg3ZiGsWLECdevWxaJFi0S7MtiW+F69eol+FgCoX78+AgMDJcctXLgQ9erVw44dO0THlZaWUi6V4WfnQ0JCApo0aUL/X1JSwnsaLCkpgaOjo6QaNaDX+VEqlYLfNYsXL17A19eX43/GB0Mdq2nTpolmt+7fv4+WLVvCxsYGaWlpggFTVVUVZs6cCYVCgZ49e9INim/8o0ePkJKSQgUHGzZsiLlz5+K9995DaGgoXQA1Gg0KCgrw66+/4vz58zhy5Ah27NjB4QeZmpqibdu2GDduHFavXo1vvvkG77zzDmJiYqDjCahACHQGAVFYWBjWrFmD3bt3IyMjAxcuXEBSUhLatm1LOwwJIbC2tsb8+fOxbt06pKen49SpU7h3756gj6Ehzy0zMxMmJiaiIoLr169HcXExTf9L2QIBf3Ab5XCAoqKiEB4ejuPHjxspSRuC9R5j55pQY0FZWRnc3NzogeTUqVOCGbPIyEh0794de/bsEZ3DLi4ugibOO3bsgFqtxuvXr2FjYyMprbJixQoQQnitqtjr9fjxY4SHh8PU1BSLFy/mZKAePXqES5cuobKyEsuXL4erqytsbGwwe/ZsjoXMsmXLkJiYiBMnTqB///5UrmHGjBnUqaCwsBC9e/eGr68vkpOTqRCmu7s7pk6dirNnz9KGDvZ3PXr0QJ06dej9MWnSJBw5cgRlZWXYvXs3VVCvW7cuPVA0a9YMEyZMwO7du/H8+XMcOXKE3mPm5uZ0XMOGDTF8+HBs3LiRSg189tlnNMhq0KABWJ5cSEgIkpKScPz4cdrJd/PmTQQEBKBnz56YMmUKbYJq3rw5r7jonTt3kJeXB5VKhSVLlsDBwQFOTk744osvRMtrlZWViImJgZWVleicZTFixAh4e3sbZR1rZxZramrg7Ows6DNp6PKwdOlSuLi4CAbma9asgU6no6bofHxAQH9gZLtuw8PDBTuC79+/Tw/hixcvhouLy98iq/A/H1QBf5BJ582bZ2Qcaog1a9aAEH4j2drjTE1NBbWuWKxduxaWlpaS0fOWLVtgYWGByspK0fLR4cOHQQhBdna26DhW/kBM64RFkyZNJDWcAL0ej5eXl2Q7LgDY29vTjU8MbJpXSnYB0Asy2traSn6XOp0OPXr0gI+Pj2TK/Pfff0e9evUQFhYmWdLYtWsXzMzM0L9/f1RWVuLNmze886iqqgrTpk0DIfquqtLSUmzevJl3ocnMzISvry8cHR2xa9cuZGRkCGYgGYbBtWvXMH36dMqrY3k1Yoai33zzDZYuXYrMzExOl9yLFy8QGhpKg6CnQkGVtzeuXr2KtWvXYurUqYLzrqamBteuXcOGDRswevRoWdmj2mCzONHR0aIZPDZDd+TIERBCZBFUnz9/DkKkBXYBvf0FG6yJtbkzDIN3330X7du3lyVGq1QqafAgNPbAgQMgRG9yLfba4eHhggKK7HMvXrwYdnZ2ooK9bPfW0qVLjX63e/duZGVlYdOmTbCxsUFAQICRLtrdu3fh7u6OQYMGoV69erC0tER8fDyncUKlUmHYsGE0e0qIXnJj+/btnDl57NgxjqgnG4ieOXOG3mulpaWYPHkyR/6kefPmWLlyJR48eEA/+61bt6jNC/twdHTE3r17OdnpO3fucIQ32UdqaqpR1+SPP/5IM1Hso3379jh27JhRR51Op8Py5cs50it+fn5YsGCBoG/i7du34erqioSEBHh4eMDKygpz5swR5f0C+qA9IiIC9vb2skrirDag1D4H/LHnyCkjRkZGinabs9eQdbwQOuAYXmulUiloHWd4D7Vr1+5vk1V4G1T9A5s3b4ZCoaBaKHyiiQzDYMKECTTV+uzZM96NU6vVol27dggJCRHNXJSXl8Pe3l7UTR74wxtMasFnCehSJsnFxcWyN5DmzZtj3rx5kuPWrFkjKXnAIigoSFLIFNCn721sbGTxVkpLS+Hk5GSUIeRDQUEB3N3d0b9/fzAMIxqA3r17F05OToiKikJ1dbVgyQXQZxjs7e3Rvn17LFu2TDAlDujJ+q6urmjYsCHq1asnmAEtLy/Hhx9+CJYcam9vL6kNs2fPHqNNYNy4cbKJxVevXqWnd/aUPZQQqGoFVGozM+zo0UNWgPyvQKPR0IYONzc32Z2MixcvhpeXl+zX8fLykiSes+jQoYNgOc8Qly9fBiFE0shao9GgefPm6Nu3r+Q4T09Pwc4/FjExMbwG8Cyqqqrg5ubG+zyFhYU4evQo0tLSBLkrWVlZsLKyQqNGjaBQKDBz5kyjTMmNGzdo5y4h+u6v2oeu7OxsTjcwIcadX5WVlZg6darRnH7vvfc46+vz588xZMgQhIaGIjg4GK1atUJgYCDCwsI4AZBKpcLOnTuxbt06LFmyBHPmzMFHH32EMWPGcFwAGIbBvXv3cObMGRw8eBBpaWlYuXIlFixYYNTQ8OzZM6xatQqffvopZs+ejalTp+L999/HyJEjjQ56ubm5HLkS9iHGg7116xaVuVAqlfjwww8lpUk+++wzXLx4EW3btoWrqytvWbc2NBoNWrZsia5du8rqLB48eLAsd4zq6mpYWVmJdvWxmDp1KtWMEwN7aJLqls7NzQUh0sK6fxXeBlUGYAUD7ezsEBERwTup1Go1unTpAk9PT/Tr109wk7158yaUSiXWrVsnyruIj49HvXr1UFNTI2h7AwBNmzaVXEirqqpkiayp1WpZCz0AtGzZUlYAtGXLFkF9ndqIiYnB0KFDZY3t3bu3qJyDIZYsWQIbGxsUFhZKLjg///wzFAoF1q5dK9pEAOg3RltbWwQHB8PT01P0Ot29e5faxNjZ2YkSn58+fUoXSoVCIcghYBgGH330EV18mzVrJqolc/fuXZw/fx4ZGRn4/vvvkZaWhnXr1hmpT/OBtbpp2LAh/P39afcnIQTf9euHPDMz6AhBobU17s2di6dPn8LBwQHm5uaIi4vD4cOHZXcS1UZlZSXmzZuHLVu2cJStJ02ahK1bt4KQP9fFM3jwYERHR8seHxcXJ0uhGfjDlunKlSuSJcPBgwejcePGqK6uFsxCAH90xZ4+fVo0y52cnAxnZ2dUVVUJllLi4uIQFxdn9HOGYVBRUYHNmzcLeijOnDkTjRo1gomJCRISEozWwdrK+HyB6MWLFzkyMGxQZRgEZWZmonnz5ggKCkL37t0xcuRIJCUlYfPmzZxxv/76KzIyMnDmzBlcuXIFd+7cwW+//Ybc3Nx/eq79J3H+/Hn89NNPOHv2LK5evYq7d+/i8ePHyMvL491zbt26xQlOCSFISUkRDXpyc3NhY2MDS0tLeHt7ixq9A/p58fPPP2PdunUwNTU1MlHnQ2lpKSwtLbFhwwbJsWx2Vw5hvWXLlrTpRQzTpk2TRU3ZsGEDrKys/rZu1bdBlQG+/fZbjmo1X3mMYRhcvHiRqtZ269ZN8PkSEhJgZ2cHKysrQauAZ8+ewcTEBHPnzhUVn5wyZQpatGiBBw8eiJKnfXx88Nlnn0m2t1tZWWHbtm2Sp5Hg4GBJD0NAX/5SKBSSZQ5Av0mGh4dDq9VKdsOtX78eNjY2yM7OFt2QAH1Wx8XFBX379pUViBlq/vz666+C437//XcMHDiQjhVbRH766SeOQjrfxsYiLS0NzZo1o2NdXV15g7D8/HwkJCSgcePGdGzv3r3/Zcf1yspKXL9+HWlpaYiPj0f37t0RGBhIM506nY6a1pqbmyM/Px8vX77EjBkz4O/vT5/HUAiSEIIuXbrQQINhGHzxxRfo0aMHpk+fji1btuDcuXOCpdeHDx9S8ry7uzvVejMxMRHUcasN1tTZ39+fKsHLQWpqKlxdXVFRUSEZlLOK4pGRkYiIiBAd++TJE5iZmaFDhw6iJGGGYdC1a1cEBATAy8tLMMudm5sLpVKJpUuXCnZADR06lDdAfPXqFfr37w8/Pz9eLsqLFy+oALKzszP2799v5PvYpUsXeq0bNWqExMREzvW8fPkyIiIi8MEHH2DNmjU4c+YMb+Apt7v2fxk3b95Eo0aN0LlYAd1JAAAgAElEQVRzZyQkJGDv3r148uSJ5BrLGqwTQhASEiJJYn/y5AlcXFzg4OCA+Ph4yfe1fv16bNiwgdMYIISLFy9iwYIF8Pb2Fn3f9+/fR35+PhQKheiBn7UOCggIwMcffyw4rqqqCocOHUJkZCRiY2MlP9NfhbdBlQHevHmD+fPnUxG+xo0bG236NTU1mD9/PucEzxfVX716lePrxpfaVavVmDdvHuUJ9OjRg/d9ZWRk4IMPPqB1f776tUajweeff46AgAC0atUKAwYM4H2ugoICzJ8/H/b29ujdu7cg8V2tVmPatGlo2rQpunTpgoSEBN5xgD6gGj9+PAjR21WIpZm3bduGwYMHw9nZGeHh4aKnhxs3blDxSQcHB0HiIvCHuSvrIebm5iY4FgDOnTvH6T4TK3EWFhZiwoQJlKfh7e0tGgxeunQJcXFxdLxYhohhGGRlZSExMRE+Pj4IDw8XPH0zDIPbt28jJSUFrVq1klWWFQKrrG8YDHl5eXFOtHPmzIGpqSnWr1/P4SOwPArDMhxboiRELxhpWApiGIYjOEmI3mVAKB2flZVllOVgM39ySOfZ2dkICgqCUqnEuHHjREu2LE6dOkWlGJo0aSJpErtjxw4EBwfT9yZ0iFGr1ZgyZQpVVRdb09LT0ym5mhDCe4hQq9VISUmh5VnDrjgW8+fPR8eOHREUFIT333+fE3yz5UhCCKKjo3Hy5EnO3xqW2Tp27Gi0GU+fPh1BQUFYuHChUWctCzllo7eQh8LCwj99eGJtwAjR60MdOHBA8jnYTDAhBEFBQYJi1Sx69uwJExMTNGjQAJ9//rkoAbx169ZwcXFB27ZtsWHDBsH58c0339B5/cknnwgeoh8/fkwzd+PGjROksZSVlcHU1BSmpqaIi4t7W/7DfyCoYvHq1SskJSXB2toaK1as4B1z48YN2porZISbkZFBAzShssIvv/xCAzTD078h8vPzOZuMEBncsEQk9J4APWmPHZeWliY4Li4ujo4T63o0tBGpU6eO6A126NAhOtaws48PNTU1nE0mIyNDdHx+fj6HKCrFvXn69Cn9Lnx9fSU3gxs3blAlfSl7HUCvcDxx4kT4+fnJ8u3S6XQ4d+6cLEFU9v3/s+WPc+fOGdnQGBqpsnwa1q/OkDP15s0bKBQKDpG1srISgYGBSElJga2tLdq0aWOkN7NhwwYaaNrZ2WHu3LmCjQVnz56FlZUVHW9vb48zZ87I+mwajYbKN5iYmIhmIVkUFRXRDjFCiKQOT1lZGcfoViwT8OzZM/j6+oIQfYelkG2OTqfDuHHj6HMKCdf+8MMP9Hvh456w4p6EECNe1e7du+nvYmJiOPdqTk4OzM3N0ahRI6MMFaC/xnLKN2/xn4NOp0Pbtm3RqlUrHDx4UHaAyxq2m5mZiQpCszC09xKjtwCgDS+EEFFrLcO9ISgoSHAfYTlS7GFbqHJTUlLCOZBlZ2dLfq6/Am+DKhG8fPkSKSkpgp1fNTU1SElJgaOjoyCv4ubNm/D09ISNjY1gduOrr74CIXovJaGbwNBDSWgjevr0KTXAFdPeYrsYCRHv2jBcgMXEPxmGoZuGlMChVqulY/v37y86FtBv/ux7+OWXXyTHZ2dnU07Tzz//LDm+pqaGduOJ2euwYBgGu3fvFs0o1UZhYaGkU/xfDaF5dP78edrNFB4ejsmTJyMwMJBT7jp9+jTMzMwoh692mYaVhqhdjrt//z60Wi0ePHiAoKAg2NvbGxkr79mzB2ZmZpg9ezacnJxgY2ODqVOn8pJNN2/eDEL0Ug0eHh6ws7NDamqq0X3EF7CyJ94RI0aIfEtcGBrLygmCCwoKaBAv1IHE4vnz57R8KyaFoNPpqCK8kCQCoCchsyXS2rh58yb9HF9//TXnd4sWLQIhBMHBwUbrWlJSEpYvXy7KGXyL/25cu3YNhw4d+lPZQoZh4O3tDWtra8mDKws2ocDqsImBLRd36tRJ9H2dOnWKzlsho29An/Rgx4kZKrMNWWIHlH8H/ueDqj+TWhWaELdu3RKdBM+fP0eLFi2MUu2GSEpKAiFE0FhUp9PRiF+ML8W2JosRegsLC6FUKuHp6Sk6yUtLS2Fubg5nZ2dJ/gNrRyBHSHXlypUgRFoRl8XEiRNBCOEV/uTDo0eP4ObmJphl5MP+/ftl6VyxKC8v52jsyIFOp5M93+RubE+fPkV2drbR+Pnz5+OTTz6hwdK1a9doMBUWFoYTJ06AYRjcvHmTk4V69OgRnJycEBsbC61Wi2+++caIX7R+/XpERkYiKCiI83OVSkW/C5VKRUvW06ZN45w6MzIyoFKpUFZWhuTkZFhbW8PCwgJTpkzhzP+lS5fiiy++oOTqefPmwcLCAk2bNqWkfoZheLlWoaGhUCqVfyqzolKp4O3tDUtLS9Fravi733//He7u7oKlWMOxeXl58PPz452XhuMYhqFlNrH3MHDgQF4/TIZhaLBXm6M3atQoNGzYkJ7u2ddlGEa0+YFhGNlzku95+L7P0tJSo45BPn5OdXW1Udb5/PnzRs+p1Wo5h0SGYXDq1CmjMhLDMMjNzeW8z+vXrxsJkQL6jdlQ1bysrAxr167lpYXUJoNXV1fzcvPevHkjKmNhCClzYxb/Cj/tyZMncHJy+lMyJ76+vvD395elnt+rVy+YmppKcmKvX78OQoio7AKgV+wnRO/7J7aeFhYW0jL331mS/p8OqnQ6HXr27IlFixZJbnZbtmzBoEGDJLMTd+7cQc+ePY0Cn9LSUk53V0lJCUaPHk3F3XQ6Hfr378/L5fjiiy/w3Xff4datW1AqlYIZr6NHj1KejFgG6vHjx2jYsKEg78oQjRs3RteuXSXHsVpfYl5MgP50P3HiRNjY2EjqoGzevBlpaWkoKSmBh4eHYCbpwYMHGDFiBOd7uXPnjlG3JMMwmDVrlmC62jDbmJmZib59+0oS6VUqFbp27coRuRPCihUr0KVLF96OK0Pk5OTA1dUVCxculFxUDU27HR0d4e/vj86dO9OyJssnWLBgASeYMoQhJzAnJwcjR45ERUUFfvvtN9ja2hplbSZNmoQmTZoY8SOePn2KpKQkzs+2b9+OESNGCC5qz58/h4mJCZKSktC0aVNOUMWX1n/y5AliY2PpyTM9PR316tUzGjdw4ECMHj0aaWlpvBpLtVFQUID27dsjOTkZ3t7eomOnTp2KxMRE+plu3ryJDz74wGjczz//jMjISM7Gk5+fb1RKf/XqFSIiIjg8FoZhMGfOHM46olarER8fTzNdFRUVaNGiBe/G3bZtWzRs2NDo53369KGbf01NDWJjY7Fv3z7Rz3vu3DlEREQY6fwYdii+fv0amzZtQseOHeHo6EiDJZVKhaSkJDx8+BAajQYXLlxASkoKFQplm4EePXqE/v37Y/ny5Xj69Cn27NmDjz/+GKGhoTA3N6e+iZmZmejcuTNCQkJw+vRprFmzBmPHjkW7du1gbW0NpVIJlUqFw4cP00Popk2bkJKSgmHDhuGdd96Bra0tCCHYvn07jh07RjMpgwYNwqxZszBo0CC88847lAfXo0cPFBQUYO7cuXBwcECTJk2watUqTJ48GZGRkWjYsCEtNxcXF0On0+Gbb75BgwYNcPbsWZw5cwbLly/H0KFDabBbW27FMPjPz8/HihUr0KpVK7Rr10702gB6DpWfn5+klA6gL+vXvkczMjKMeMFarRYffPCB4Hru4+NDr/+OHTtEpRIGDhyIxMREPHnyBNOmTROUX/ntt99gZWWFZ8+eYfbs2YKHaLa8f+PGDXz77beCQsD5+flwcHBAXl4enjx5gokTJ/4tpsr/00EVwzBYuXIlTE1N0bNnT9Euhl9++QXW1tbo16+f6Eb7/PlzuLi4YMiQIaLRsVarhZ+fH0daQKVS8WoQ9evXjxJSDRfz2khJSUGjRo3Qu3dv0ZPL6dOnQQi/oF9t2NjYYPjw4ZLj4uPjYWtrK3kiYOvhcXFxkm2+o0aNon6I+/fvFyRPPnv2DAqFwogLwHcDjR07Fm5ubpInxTt37sDa2lrSdker1WLUqFEwMzOTFFO9dOkSGjduDAcHB1FBzrKyMixatAh16tSBs7MzvvjiC1RWVqK8vJz66LHIycnBuXPn8P3332PdunWYN28exo4dy+kqZB+9e/fmBNsajQbx8fG886CmpoYSsWsfOCIiInhT9AzDwM3NDdOnT5d9Mnz48CEtRf6Z0zbDMHj16hXq1q3L25SQlJSEJ0+eIDU1FdbW1oIZYIZhUFJSApVKhW7dusHe3l6yhJ2WlgalUomRI0fSQxafR9udO3fg7OyMbt26cTIytdeP6upqdOvWDc7OzhwFbYZhjA5xQUFBHC+z33//3Yj/xera8XU8sfecVqvF4MGDYWNjw8lQaLVaevi7evUqevToAUIIOnToQJsENBoN5s+fj+DgYHz33XeIjY2FmZkZLCwsMGDAABw4cABqtRo//PADVRTv06cP5YV6eHhg1KhR2LVrFx4+fIiPPvqI8kpZJXITExO0bNkSEyZMwLZt27B3715eEU57e3t07NgRU6ZMwcaNG5GSkoKAgADOGBMTE/j6+qJnz574+OOPsXbtWiQlJcHf358zzsLCAs2bN0fv3r3puK1bt+K9996j3d7sw9nZGaGhoRgxYgRSUlKwe/duXLlyBYcOHUKLFi3oOJb75uzsjKioKMydOxcHDhygmbfq6mpMmTIFw4YNw+7du9GzZ08olUrY2tpi9OjRotUNrVaLxYsXQ6lUIjIyUtJS6/nz56hTp46RfRHfvXry5EkQwt8sAYDDxe3SpYtomX3evHkoLy/Hrl27oFQqBZXfCwoKkJycDJVKBaVSSe1t+MB2KHbv3h2DBw/mHZObm0s5XMuWLYO9vf2fMnL/Z/E/HVSxOHfuHDw8PFC/fn1cvXoVGo2Gt4PtzJkzsLGxQUxMDE2F803IH3/8EYSIt94Df8gQSJkEf/nll7CyskJVVZUgyRXQc7OsrKwkDSnZoIqV+heDlZUVxxtMCPHx8WjevLnkuKqqKhCiF/iT2kQ3bNgAGxsbOk7MhiE6Opp6dImhqKgITk5OslTiWRFNMTI/oM8yjh07FqamplQjTCioKC8vp52SI0aMQElJCbZu3cpLynz16hVmzpwJS0tLeHp6UlsKqc60qqoqREdHY/jw4Vi5ciUyMzONsk35+fno1KkTCCG88yU+Ph6EEF7tMVdXVxqk1Ubfvn1BCMHkyZNllTqzsrIE+T9SGDlyJAjRS1HUBtvMUV5eDmdnZ15RWJZfxmZ6Kisr0b17d9jZ2Ul+x8eOHYO1tTWioqKoOTVfeYz16+zdu7dolru8vBwhISHw8vISJdR+8sknknYbGzduhKWlpSB5nmEYjB07Fubm5hzeoVqtxtChQ9G5c2fExsZS7tXx48fpfM7JyeGQlBUKBbp06YKtW7fSg0peXh5HgoQQgjZt2mDlypW4d+8eGIZBVVUVUlNTjbo8fX19cerUKTpfNRoNVq1aBX9/f9jY2NBxSqUSmZmZnPssMzMT8+bNw5AhQxAcHEyfu7a4cmFhIX744QcsX74cY8eORYcOHeDi4oKgoCDONdRoNDh06BCWLl2KMWPGIDw8HK6urrxm1Hfu3KH3k+Fj4MCBePr0Ke968PjxY7Rp04YT/PXo0QO7du0S7IouKSnByZMnkZeXh65du8LU1BSpqamS9xrDMIiKikLjxo1llezGjx8vWX4G9IGdnZ2dqHAp+3qJiYkICAgQHKdWq6FSqSiPVoyHqlKpJAVFWdFgAAgLCxM0GP+r8Tao+gdevnyJzp07w9zcHPHx8WjatCnv5Dt//jzs7OzQo0cPFBYWGinrspgzZw7Mzc1x/fp13hMnoJ+QzZo1w5AhQ0TfG2srI6WAzgZzUvYrLCFQSomWYRgoFArJ7g5AvwkHBwdLjgP02S+2q0wMbI1dyu4H+KPNX0ptHNBbgpiYmMjqspsxYwYsLS1x/fp11NTUCJ50dDodJk2aBKVSid27dyMtLU0083no0CG4uLigfv368PHxEZWsyM3NxYQJE+hpvk6dOv+UzQuLc+fOUSubtm3bGv2enUeEGEtTsDwF9lH7+zYke48bN05ysT9//jwd7+rqKjl3WRw/fpyTNRDD4sWLYWtrS6/Ho0ePaGdrbR2ryspKREZGok6dOrh8+TK2bNkiGPxfunQJzs7OaNu2LS5cuGBkms7i7NmzsLa2xpAhQ6BWqwW91169eoXmzZujadOmKCgoEDQPJ0S8CaN379683cbnz59HZWUl4uPjoVQqOZnVmpoa9OvXj36ngYGBOHDgACcYOHjwoJEJdm1j64cPH2LQoEGIiIhA+/bt0aZNGwQGBqJbt26c7LBKpcKDBw9w7tw5HDx4EF999RWWLl2KmTNnCt7DDMPg9evXuHXrFo4ePSrZWMIwDIqKiugaLIWioiJZDQqvX7/mDXyrqqqQnZ2Ny5cv4/Dhw9iyZQtSU1N5D4Pp6emcblNCiOBeYvh5BgwYgE6dOsHFxQW+vr6iDUSG2LJlCxQKBUcxXgg1NTVwcnKSZTx/9+5dEEIkJRgAvU2NmMo/i5UrV8LR0VHymmVmZoIQaUFRVvtKqsz9V+FtUGUAthxiuCnw4fLly7C3t4e3tzecnZ15O/80Gg06deoEX19f7Ny5U/CC7t69GwqFAvfu3RMtSfn5+UmKsrFGyVK8JjaokkoX19TUgBBi1MHFhxkzZsgOqnx8fGSVHtVqNSwtLWUFYBqNBl5eXvQ7kiq9tm3bFuHh4SgrK8OtW7dEnzciIgL169dHamqqKA+MYRhMmzYNJiYm8PDwkMyG5ebmcsRmxZTwN2/ezPEJs7Ozk+XjVRsXL17kvOayZcuMxqSnp+Pdd9+FtbU1GjVqxPldZmYmbfv/7LPPjDZ+ww6erl27SupKnThxAn5+fiBE76cmV07iyJEjiI2NhZOTEzw8PETHlpaWwsHBATNmzMCHH35IO2SFunYrKysRFRWFOnXqwMXFRTSD9vDhQzRo0AAWFhYwNzcXXOBPnDgBc3NzhIeHw9fXVzBrlZubiwYNGqB169Zwd3fnlYNo0aIFxo8fz/v3VVVVsLa2NsqSMwyDDh06UP6QofE5m9k03OBbt27NOXRlZWUhISEBKSkpWLFiBbZs2YI9e/bghx9+EM0gv4UxfvrpJ4wePRrTpk3DggULsHz5cnz11Vc4ePCg6CHEsGv73XfflUVi3759O3777TfY2dnJEnEG9NxcoQx2bXz11VewsLCQVVZzc3OTNO8G9M1W3bt3lxzH6rVJBV9ffvklLC0tZWXo/gq8DaoMUFxcbGSyyafs+vDhQ/Tp04eOEVJCz8vLg7OzMxQKhSBPQ6vVwt/fHzExMaLq7B999BECAwORm5srmGFiW00zMjJEb065QRWr83Hs2DHRcYBeFJAv68GHNm3aYObMmbJOj+Hh4Rg7dqxkVg34w75j3759kpmcq1evQqFQoFWrVpJdfy9evKAndDG/N4Zh8P3338PJyQmE6EniYins9PR0Dv/DxsZG0B5Cq9Xi119/xa5duxAfH4/OnTvDy8tLlhhmbUyYMIGWUgy1qVio1Wq4uroiJSXFiKem1WrBMAxsbGx4tbrKy8vRrFkzWT52gJ7nUVFRARcXF3z++ed/6nO0aNECkyZNknVKTklJgZ2dHUeVXiiwr66uxubNm2nw5eXlJVh2v3PnDmfNiIqK4p3XtUtiQi3eVVVVWL9+PR3Hx1VhS4C//vorJ4t78eJFmsGrfV1Zc3JC9Ir3LAesoqICsbGxCAsLw6RJk7B582Zcvnz5b7P0eAt5uHz5MjWbJoSgadOmsrJUgYGBcHZ2RtOmTUWpIyx2796N4cOHIyQkRHLsixcvMG7cOLRv31503Js3b5Cfn0/3JrFxNTU1aNKkCebMmSM4rrS0FHl5eYiIiBDl+1ZUVODs2bOIioqStRb9VXgbVNWCTqfD6dOnMXLkSFhZWcHR0dGoW6u8vByfffYZ7Q6xsLAwWsS0Wi0mTJhAbwJTU1NesuyePXvQvn17Oo5PLuH8+fOYOXMmCCHw9PTk3XhzcnKwY8cOmJqaYtCgQYIbxoEDB6h8w9KlSwVvzPPnzyM5ORmE6NXGxdTMU1NT0bdvX/j7+2PevHmiJbJVq1ahbdu26NSpk6TtyPfff4/Y2Fh4enqK1uIBfQdbYmIi/R7FMkrV1dWcwEJsUdBqtZg0aRKHQyImDHnz5k307t2bjpfTYXnv3j0kJycjICAATZs2ld1uzTAMb7CZmZnJ8fxbunQp5s2bh/T0dBw4cACEEOzdu1cwvc+W/8TS6gEBAYIWME+fPuX42MnBwIEDERUVJWssoA/GCCGi85LFo0ePMHbsWHpNvL29Ua9ePcHAgWEY/PDDDwgKCqJ/IxTwsWMNeUZ8cy8nJwfvvfceHVO/fn3e+6S8vByzZs2iG6iJiQknML99+zYWLlwIQghsbW05n3/06NFwd3eHm5sbtm3bRj8fwzCcwK9Lly40my3mH/gW/x0oLi5G/fr14e7ujo8//hhXrlyRdSB98uQJveaOjo5YuXKl6HidTgelUgkLCwv0799fsqM5MDAQXl5e6NOnj6itzKZNm9C5c2cQohcTFmpQunv3LkJCQkAIwaxZswTFfgsLC+Hl5QVzc3N8+OGHgp6pxcXFsLa2hqmpKcaMGSM47q/G26BKBCUlJdi0aRNmzZrFu/C8fv0as2fPhrW1NS8JjmEYrFu3DhYWFiCEX8PpzZs3VEiNEH4Byry8PE79nW+zYxiGllFqp/cNYUgMNjc3F9S8KikpoW3ChAh3gQDgWJAIWe2wGDNmDB1r2MXEh127dnFOZmLQarXUp44Qccd3QL/gsFkLU1NTSa/E7777jmar5NjDXLhwgXbJiYk91sb9+/clSdJSYN3bDQPBuXPnIjs7G87OztTzTWhhHjFihGTWMSYmRpQLyPrYBQcHy9q0N27cCGtra9ndOZs2bYKlpaWsjArDMBgyZAj9PqZMmSLLTFyr1WLz5s2oX78+HBwcJNuxz549i+joaHh5eQnOp4sXL9KNQ0yV/9GjR1QuY8yYMfTnVVVVCAwMpJ/FkFbw/vvvcz4jC7aTq2HDhrxK6W/x3419+/bhxIkTf1qLasWKFXQ+LFy4UPI+ZPWfCCGwtLSUNFU27DAWE79lD1jsgUZI78yQrymW5VepVHScUqkUpLsUFBTQcdbW1nj8+LHo5/mr8DaokgmxhSg/Px8fffSRIKH65s2b8PPzQ+vWrXl/X1BQQAMioYXWUFFdKFPCakURIsyrYhiGcmqkMgOszotUVx9LKCeEYP369aJjDRXSpbq9dDod7Y4JDw8XHQvoTyasWrucwKegoIBajcgpcebm5qJ79+7w8PAQ7b5iwTAMTpw4gWnTpv3bN7Ls7GwcPnwYQ4YMoYa4hBDUq1cPv/zyCzVHbtiwoREXw7AsoFKpYGtrK3iqZXkJU6ZMQWhoqOh7ysrKgkKhwK5duyTfPyutcPbsWVlcjr59+yI6Opr+X2zDuXDhAmxsbKjSvhy+Bov8/Hy4urqibt26CAwMxIIFC7B3717cvXtXkBd18+ZNUUKwTqfDzp07ERYWJimoefToUfj7+3OkMG7dukX5dYbfLct18/Hx4QR10dHRWLx4sSzuk0qlkk1+LikpkRUESwmLGkLImaI2KioqZJWzdDqdoANFbcjNEP9fQceOHWFtbS2pB8jCMAgRUypnwWZn27RpIxqwGSr8i5Hx2UwZIURUyoZhGPp8YjyxvLw8Ok6qE/+vxP98UPVn5fzFILawV1RUYMyYMYKBV05ODnx8fARLYjqdDmFhYSDEWCWZRUlJCWxsbGBhYSHavs2a30plc1gPseTkZNFxDMPAw8MDhBBevZ7aY9kAUo4nG3vKlusyfvv2bdjY2IhafBiirKwMXbt2NRIKFQJbwvwzqWSGYaDT6cAwjOz5Jle9+syZM7Q9ng0+169fjwkTJsDf358KAq5atQpKpZI3E/r1119TWY89e/bAxMSEV1ASAA0Qly9fLmlaXVlZCW9vb/j4+Ehu6AzDwNPTEykpKRgwYIAoqbS6uho2NjZ0/mZlZQl2w126dAl2dnbo1asXKioq0K9fP3h6evKOzcrKwv79+7FixQpMnToVvXv3RlBQEM00G2ZN169fb5Qlu3TpkhENQOw+rKiooBu+2NpRXV1t1BG3fPlyEEKwdetW+jOWbmDoplBRUSG4XgD6RoyCggJs3boVffr0gaWlJRYtWoT8/Hzk5eUhJycHT58+xZMnT1BYWIiKigp8++23iI2NRXBwMKe1vry8HAUFBXQNePDgARYsWIDGjRtz9NW0Wi3lxVRWVuLVq1f48ssv0alTJyQlJdFxOp0O5eXlePnyJYqKilBdXY2DBw9i8ODBCAgIoAcbnU4HlUqFoqIiZGdng2EYXLlyBTNmzICXlxcNcFkph+LiYjx//hzl5eUoLS1FWloaIiMjOX6pDMNApVKhoKCAakqp1WocOHAAAwcONOoS1Gg0yM/PN1LG5wvUtFqtbHL/P1uaLSoqQsOGDUXN7WuD7TKPjY2VtU6xshtiWlrAH1xfsQYNFu7u7rC1tZX0bbW2tka9evVEg/Xs7Gx6iHqrqP43BlVDhgzBtGnTJFu59+/fj9jYWMkSQG5uLvr06SNIrGZvsqqqKsTHx3NSrL/99htvSSUtLQ3Hjh3D3bt3YWZmJjjhTpw4gYiICMkuPNZTTUp8k9WzktP917NnT/j4+EiOKyoqQo8ePWBvby+5YOzZsweHDh1Cr169RIOk3377DXPmzKE3Tnp6Oq+Gkk6nw7Jly4x4PtXV1UZdcBcvXhTkDAF/bJYVFRUYPXq05HcJANu2bcN7770nWWosKSmBlZUVOnXqhE8//RRXrlyhBPHExETOHIyOjoaPjw/MzMw4Gczbt28jIW2c/n0AACAASURBVCGBBqNffvmlIIdq/fr1CA8Ph06nw5kzZ0SzfB4eHjhw4ACuXr2K+fPniy5WN27cACEEffv2lZUtWLNmDdatWweFQiHaBVhcXIzp06fj2bNnqKqqQkBAgGBQ9cMPPyA2NpZuYlVVVejatSvevHmDly9fct4/m8lyc3NDSEgIBg0ahMTERISHh9PF+dixY5g9ezZMTU3RtGlT9O7dG/Hx8di0aROWLVsGpVKJESNG4O7du7h37x6cnJwwYcIEnDlzhs53lUrFCXQYhkFISAiGDRtmZL9S+x5ZsWIFtm/fDp1Oh27dunEyw5MmTcLw4cORm5uLgQMHcr7zoqIiusYxDIOLFy9i8ODBMDMz45T5xR6NGjWi4pyEEMo5rR10WlhYcPSXFAoFGjRoABcXFyMRzeDgYCoVQghB3bp14erqynkdtnRpqGllZWUFFxcXo3Hs5m34f2dnZ1hbW1MhTvbRrl07znt3dXWlm7rh2IiICMydO5fKkNSrVw8DBw5Ep06d4O/vD2dnZzr2/7H35XE1pv3/16loT3uoJGlPWbNlkG3IOsYekZ0hFWqs2RkkDIaxhkqWwVgyZKehLEVlDZUtijbVOZ37/fvjPPc153TOvczzeOaZ33e8X6/zB13nnPvcy3V9rs/n/Xm/2UX+2rVraNeuHVJSUvDs2TMcOHAA4eHh+Oqrr2BoaCiYCXr79i2mT5+O7t27CwYEcrkcEydOVGnYyMzM1LhO3L17FytXrtQY3Ny/fx+2trZUemT16tW8Qdn48eMREBCAM2fOcNJNAMX9pqenh/Xr12PZsmW8a623tzeioqIQHR3N24BiZWWFuLg4/Prrr5wmzU+fPkWdOnWQl5eH3NxcUQ4VnwP/6KCKYRhs2bIFFhYWsLCwwKZNm+jup2bwdPHiRdSvXx/29va8qf38/Hw4OTnBw8ODN9qWyWRo3rw5/Pz8VCZOTRYm/fr1o4rqc+fO5bwpw8LC4OHhIZil2bt3LwghgrsGtsbOp2zLolevXoL2HoBCAVpsOW/gwIHo27cv7t+/z7vQp6amghCiwkXiCgT9/f3RqVMntf+vOXGxvCQuTSEWnz59QosWLeDq6ipYPjh58iQsLCzg7OzMaylRVlaG3bt3Y8SIEbC2tgYhCqLpt99+C1tbW1hZWSE2NpbuhNnMX83d87Rp00AIwYkTJ3iPiy0bi0mRm5ubw87OTpSeT2xsLAghKhkAIbB+gWJLFqwtkxj9HRYlJSU4cOAARo0apfL/L1680MjRWrlypUo5/dGjR9i7dy/mz5+PwYMHo2nTphoX9+7du2PixIm0w9POzg6zZs1CamoqbGxscPz4cQCKRXH79u1o2rQpCFHIGWzfvh3l5eX47rvvVLggYWFh0NXVRWpqKvLz81VK6IsXL8aTJ0/QpEkTuLq60sUxOTkZ9erVw5UrVzB37lw4OjqCEAJnZ2dERkZi27ZtGDduHM02T58+HRcuXMDly5dx9epVXLx4EZs2bcK0adPQtm1bWqJp1KgRNm3ahN27dyMxMRG//voroqOjERwcjA4dOqhIgERGRmLDhg3YuXMnEhMTsWvXLsyaNQvffvstDVYIIejZsyfWr1+P7du3IyEhAYcPH8aaNWswefJkle+uV68eVTxnN1979uxBREQEBg8eTAVqCSGYO3cuduzYgfj4eBw9ehT79u1DREQEBg4cSH8zGzytW7cO27ZtQ1xcHA4fPozg4GC1a6uvr48BAwZg4sSJmD9/PjZu3IgDBw7gwoULSE9PpxkcQgjtBNbS0oKXlxeCg4OxZcsWtRI3u4n4+PEj5s2bB0NDQ1hbW2P9+vWCm88lS5ZAR0dH1DMQFhYGJycnjYFaWloazTpVVlZSzT0uzJs3D5mZmQgODha0MuvTpw+VauBLTAQGBqKwsBC6urrYuXMn57jg4GAwDINevXrhm2++0Tjm4cOHNNiLjo6GsbHxXyL/8Y8OqlgUFRVhxowZ0NHRgZeXF86ePYuvv/5ajahXUFCAXr16QUtLC4sXL0Z1dbVGgb7c3Fw4OjrCy8uL0x4DUNzEWlpagjpMrBZIWVkZKioqOIOhhQsXwsXFRTDlu2HDBpiYmPCOAf7osBLzsAYGBgpybIA/nMOFSo+AQiKB9S/jK2EwDIMGDRpoVM2uibNnz4IQzQ0BNdGvXz84OTkJcjfy8vJgY2ODgIAAQTJpXl4eXXA2btwIhmF4iexyuRx3797F6tWrKfGdfXXu3BmLFy+m/65JxGQ73hwdHXl/A0toNTY25j3PAGjHpJhyKdtlamBgIMpzKz8/n3a9LVu2THA8ey1rBtR8qK6uRlRUFCQSCe/u+s+CYRja3cfanfTr1w/h4eG4d+8eMjIyEBkZCQcHB5VrOG3aNDrRMwyDq1evYtiwYahVqxbMzMxgY2MDc3NzutjJZDL4+/vDzs4Ob9++VeH2vX//Hl999RUsLCzw7NkzSKVSzJkzRyXrUr9+fYSFhSE1NVVtYWUNtoUC2pKSEpw8eRKzZs3i3Th++vQJ58+fx4IFC3iz3QzD4OHDh9i6datg9rOkpASnTp3CzJkzeZXn5XI5MjIyEBMTI6gt9+jRI2zbtg2zZs3S+PzKZDJkZGRgx44dmDRpElq0aKHmRvHq1StMmDCBBn3sKyAgAJcuXeLdhMTFxcHb2xurVq2CmZkZTExMsHTpUlEbl99++w0SiUSws4/9rQ4ODpwSQMq/PTMzE4QQ3s0f61rQrVs3lWYKTcjJycGPP/4IU1NT3nG5ubnIyMgQ/O7CwkJIpVIYGRmp+SiyqKqqovdS27Ztvyiq4y8MqlhkZ2dTETwtLS3Uq1dPbUfBMAyio6NRq1YtdOrUCd7e3hptTJ4/fw4HBwd4e3vj3bt3nO2pISEhMDU15dWMevXqFQghgt5ya9as0WguWxNz584VZSlz/fp1EMJNjFfGkCFDRPGeZDIZCCG83ncsDh8+DEI0y0zUxIwZM+Ds7CyYKmcYBq1atdJYHqyJFy9ewMDAgFMpWxlXr15FrVq1qL4KHyeI9U6TSCQYMGAAnJ2dBYnyDMNg0qRJsLKygp2dHRo3bgx3d3cV7ZqaYqDDhw+nf+P7DT/88AMd17dvX95zyC4a2travKKpgKJDkP3cFStW8I4FQGVDCCFq5r01UVRUBFtbWzpe6FgAxaaI7RDV09MTdV9pgqaFt6qqCufOncPz5895A2tWTFZ54fX29lazqnr9+rXK9dPR0aGZxOjoaJiammJB48ZgGjQAI5FAbm+PSHt7SCQSbNu2DTk5ObTRhH01b978i1DnZ0LNZ6SwsBAZGRk4d+4c4uLiEBMTgzlz5iAsLIx3QxMbG0vLr/r6+oiIiBDcgDAMA5lMRrt5Bw8eLIozpCmjz4VDhw6BECKqu9bV1VXUHBkaGgoxa3psbCxq1aol2ASRkpICQohglyKbHBBaPz8XvgRVNZCbm6siTdCwYUONu/e0tDTUrVuXPgyaJAdycnJgb2+Ppk2bwtjYWOPFLykpga2tLUaMGIHXr1+rdPkoo1WrVhg7dizvsW/duhVGRkaCv3HcuHGifPISExNBCBHV4dOnTx9RFgQAYGRkJGjJACjKLGKzSqxlgZCaPACq1ZSRkSHYxbdq1SrUrl0bDx8+FHSBZ7lqO3fuxODBgwWPIzk5mWqdWVhYaCz98uH27dtYtmwZCCFo0qSJmmr/gAEDUK9ePTRq1Ag//vgj53VcsWIFzM3NoaWlhZiYGLoDrQmZTAYjIyMYGBhgyJAhgpPU119/DXd3d3Tq1Ilm5bggl8uxfv16NGvWDD4+PoIB+oULF2ipUFdXV5DT9uzZMxXhTzH6YSyqq6uRkpKCBQsWoFevXqI2GVx49eoV9u7diy1btmDNmjWIiorCzJkzER4ertIc8PHjR4waNQq+vr6wtbWlC++kSZNQUlKCUBsblBGimJr/9SojBCuaNMH79+8RERGB8PBwLFy4EKtXr8aWLVsQGxurUez1C/432LFjh0oW0dXVVZQl15UrV/Dzzz/D19cXbm5uojcHkZGRaNCggagAbOnSpXBwcBAcxzAM9PX1OcVsldGnTx9R82JYWBh8fHwExy1fvhw2NjaCv2f9+vUwMjIS1S36OfAlqKqBx48f46effkJgYCB1WHdzc1Mr4+3atUuF5Oju7q6Wrq2srFSRORgwYIDG72QX+RYtWmDDhg0axyxevBg2Njb48OEDZ+AVFxcHQohgDb5Pnz6CfoNsRk6ow4uFv78/p61PTdja2mq0R6mJ6upqGBgYYOvWrYLdcNXV1bCxscGiRYsEdaHkcjk8PDwwZMgQNV5NTUilUnh6eqJFixZo2LCh4AOsLDLJt9Cz51e5XODn5ydKqkEZ8fHx0NLSQmlpqVowlJqaij179kBHR4c3c5aSkkJT7hcuXOAcV1VVhdu3b6NPnz6cDgHKqKiowPjx49GxY0exPwdOTk6IiooSVfoYP348fHx8kJyczBkIKmP37t00Cy3kAyaTybB//36MGDGCEpF1dXVFBfj/DchkMuTn5+PGjRt48eIFqurVUwmo2Fe1nd2f+twvmlX/G2zduhWGhoZo27Ytpk6dih07duDOnTuiNrCjR4+GlpYWDA0N1TKcmvDs2TPk5uaicePGal6NNSGXy1FdXY3AwEBByR2GYWhnH58vLbseeXh48Db/VFZWorq6Gv7+/lRLTxNKS0tRVFSErl278q5j7969w/379+Hn5ye43n1OfAmqBJCXl4eEhATs2LFDbQL68OEDtm/fjs6dO0MikWDkyJEqY0pLSxEVFaXirl6zFl9aWooJEyZQUqcmI9Ts7Gxs3LiR8mM0lYrOnTuHlStXghCCDRs2qLQws5BKpZgyZQo8PDwQGBjIu7DMnj0bffv2haenJxITEzmDGqlUiqioKHh7e2P48OG8PJXy8nLExsbC2dkZw4YN4w2spFIpjh07Bi8vL3Tq1EmwZn/69Gn06NEDVlZWan51NZGUlKRSmuLTxjl06BAlEBNCeCexK1eu0MwTIQQzZszgPQ5AUeaJiYlBy5YtQYi6wa8QwsPDed3k2dS3cps9F5ycnDj5FspYv349jI2NRQWAy5YtE7XjBRRBm5aWligDb5lMBktLSyxZskTUZz958gRGRkb47rvvEBYWJqoMduTIEZVMQk3LHmXcvn0bR48exZ49e7BhwwYsWbIE4eHh2LJly39FsZyRSDQGVYxE8qc+5+TJk3Bzc0Pz5s3Rq1cvjBkzBt9//z127979JeD6L0EqlSIrK+tPi3kCCosWZeJ8YGCgYCB2+fJlWlVZsWIFbzafJX+7uLhgxIgRvPPGoUOHEBoaCkII9u7dy5lle/ToESZNmgQ9PT3Mnz+f02Xh/fv36NKlC/Xp5FJUf/PmDdzc3KCvr4+ZM2dybnQePXoES0tLSCQSzJ49W5Sd1efAl6DqMyEvLw+rV69WC5oARcp/4sSJ0NbWRufOndUmq1u3btGb3tDQUO0h+fDhg0qXiqag6tq1a/Tv2tranCnhVq1a0XF8LuQhISF0nBD/qEOHDqK4OwBU7DKExg4bNoyOFSp9HjhwQIWMy4dXr17RDihNga4yqqqqMHLkSDqWK5PIIjc3F127dgUhBKampn/KQy07Oxvz58/XWCZmGAahoaFo3749/P390bNnT/Tv3x9WVla8foQA4OLiglmzZgl+/9SpU3kDNBYsiVWMUvz+/fuhra0tKgB78OABCCFIS0sTHMt62YmRspBKpfD19UWTJk1QUVEheCwMw2D//v2wtLSkTgZLly7lfU9aWpqaXMB3332ncTNy7NgxHD9+HKmpqXj58iXn8cTGxqJjx474+uuv0b9/fwwdOhSjR49WdCnb2moMqqT16+PJkyfw9/eHkZGRyqtFixYa+TpZWVlwcXFROXZlzqNcLkd+fj7S09Nx/vx5HDx4EFu2bMHSpUtx9OhR3vPC4t/lr32BKliKgba2NhYvXizquTp37hy9rvXq1aNdoVxQVuxfv34957ibN2/Scbq6upxNWTKZTIX7yZXVYhhGpfrDFdCVlpbSMRKJhJMjdu/ePTrOxMTkLyt9fwmq/kJkZWWhX79+Gm+q58+fw93dHYRo9ktTth7RFFQxDEMDBT6LEdbHTkdHh9ekeOfOnfT7+EwwAVAvMqFMDqDoZGTHCgloZmdnUy7JokWLeMcCfwRhVlZWgmMfPXpE2641NRoog2EYREZGghAiyphTLpdj06ZNMDAwUBFn/HdRXFyMY8eOITAwUGXhc3R0hL6+vqCK/eTJk9G8eXPB72FbnoW4XazYq9A1YRiGlrbF8JCOHz8OQvgtkVhMmjQJXl5eguMABZdEjO0GoGhOYJtVJkyYgJycHAQFBWnM2jAMg9TUVEybNk2lhd/ExISz40wmk6kYJrPlyMaNG1MLGZlMhuvXr2PhwoUqGk4GBgZYtWoVbt26halmZmqcqnJCMEZXF4cPH4ZMJsOqVatUFikXFxfMnz8fN2/eVMueffz4kdrisAtghw4dsG/fPnz69AmHDx9W4aSxxx0XF6eS6c3NzcWZM2cQExODiRMn4quvvoK1tTVnUFpdXY2srCzExsZi+vTpCAwM5JV6efv2LX755RfMnDmT15sSUJDHjxw5IsofsqqqSk0j7O+INm3aoFGjRoKG8co4deqUYKCijH79+tF5lG9TWF5eTjO5Qo0lHh4eIISgadOmvOeY1Rhr37495zi5XE5/z4QJEzg/Ky0tjY77nJ2+QvjHB1X/i4eIqw25qKgIHTt25HToZhdVrk4xVgGdr92dDZYGDhzIe4yscKOLi4tg+eLSpUsghIgiF378+BF6enq82TRlsG3qQpY2gGISrV+/vmDbLovU1FQYGhqKLrlt3LgRZmZmonlPjx8/FlUCrAmZTIarV68iKioK7du3p7wrV1dXmJmZoVatWpg3bx71caxpK5Kfn6+yGz106BAkEolaluLt27cq9395eTl0dXU1SnwwDKMyIY8aNQodOnTg/R35+fnUj46Pq8Vi7dq1sLa2Fmx9rq6uhrW1tYrS/7FjxzSOTU5OhkQiERRblMvl2LhxI4yMjODs7Ew3NgzDqGWOc3NzsXz5croJcnJywqJFi7BkyRK0bNmSdgxXVVUhLS0N27Ztw6RJk9C6dWu1bFbt2rUREhKCS5cuYf369ejTpw+MjY1pxtXJyYkG88+fP8fZs2dhYmKCli1bInnsWHyytgYkEpRbWWFT+/YYNWoUCCGYNWsWZDIZsrOz0bZtW0gkEkyYMIF2TNatWxdjx47F0aNHKd9OLpdj/vz5WLx4MU6dOoV+/fpBS0sLFhYWCAsLw7179xATE0O1l9iATyKRwMPDA8HBwZg3bx569eqlJi3g7OyMXr16Ydq0aVi3bh02b96Mzp07w8jISGVcq1atEBkZiXXr1iEuLg4nT57E4sWLMXz4cDg7O9NxVlZW2LRpE/bv349Tp04hJSUFqampiI2NRWhoKJo1a0YX/OjoaJw7dw4pKSlIT0/HkydP8Pr1a7x48QI7d+7EwIEDYWxsjHHjxuHdu3d4//49CgsLUVRUhA8fPqjwEe/cuYOQkBCNHEWZTCZ6Pfl31p3MzEwEBQX9aQHLo0ePghDxenFhYWGClQwW7DURauL55ptvQAi/RyDwR9VDyIhdT08P5ubmvFk3tnozaNCgL4rq7OuvCKqCg4MxaNAg/Prrryo7pJo37unTp9GlSxecPXuW9wKVlZWhZ8+egqURhmGwZMkStQWxsrISa9euVfm/Y8eO4cqVKygsLISNjQ1nULVjxw4QQnjdxdmUKDvpcqGyshI6OjoYPHiwYJahsrIStWvXFiR9A4qgqlWrVqICsKSkJOzduxdaWlpITk7mHPf8+XOqe5WUlMTZAVldXY3du3ercArOnDmDIUOGqI29ffu2xkDu4MGDKhPIhw8fsGTJEs7OElYJHVA0JLBZMb57iPXgsrW1xejRo7F//368efMGOTk5MDc3pzpkWVlZGDp0qBo/6OXLl+jUqRMNBt6/f6/xOqalpamVBWfOnMnJtXN2dqafcfz4cYSGhvL+jrNnz9JOQU0cv5o4cuQIvv76a9gJkK0LCwsxYsQImhXdvXs35055z549GDZsmMbjVC4dFhcXw8HBAZGRkYJdQtOnT4eZmRkmTZqE69ev08/OyspSKfexGxN9fX20adMGU6ZMwfbt25GWlgZra2sEBwdTrSUXFxcYGxujb9++2LBhA7KyssAwDGbOnElFQgFFW/rgwYNRVlYGPz8/GkzOnTsXMTExqKqqwvbt2+Hk5ETLMdXV1YiOjsarV6/AMAxu376NRYsWUR5fzUy08kKVl5eHqKgo2NnZ0WC3qKgI4eHhCAgIwMuXL3H48GHMnDkTfn5+0NPTg4GBAZ4+fYrw8HAYGxtDW1sb33//PYYNG4bWrVvD0tKSBkfTpk1TkX5o0qQJvL29YW1traL07uHhoaLxZWBgADMzMzWVdEIIDUo/16t79+7Yvn07fH19QYjCWzE0NBTDhw9Hly5d4OnpSbk7yhtFqVSqUg149eoVYmJi0KZNG8HsOKDIps+YMYPO03zB1JEjR9QkVVgkJibC2dkZZWVleP36NXbs2MHbuLJp0ybUqVMHO3fu5HU2ABTBUtOmTQU7gefMmQNbW1ts2bKFVyR56NCh6Nq1K2JjY3kzyxYWFti6dSsuXLjAuR6eP38e9evXR2FhIV6/fq3RWuq/gX98ULV7925qQ2FtbY0ZM2bg9u3biIiIQHR0NJ0wU1JSqL5My5YtcejQIVRXVyMtLU3FTfv169fo2rUrJBIJ544GUOxqunfvDktLSzU37poLQLdu3WgL+JEjRzhvot69e8Pc3JyXeC2TyVC3bl1YWVkJRu/spCsmfW5nZ8dbdmSRm5tLdw9C6NOnDwYNGoSRI0dyOpYDCgE8QgitmXNlhxiGgZubGyZOnKjy/5oIjGvXruUUrVTO3L169Qp6enqIiYkR/D2RkZHQ0dHBxYsXceDAAd7y55MnT9SuD8slEOqylMvlqFWrFsaPH897jdnPW7NmjeCxA4qgqmXLlqJ9CTds2ABCxGlUAYrrw5YJhGyjWNy/fx/6+vq8GcGa50AqlWLy5Mlqis1iJ9zCwkJR50AqleL+/ftqm5eSkhI1LtizZ880bnJqZomrq6shl8upthg7F8TExKioaovpIgMUAbiYsTKZTO1Z0OQPKZVKVX7bx48fsXr1arWSbnFxMe7evUvnqvT0dEyZMkUl+1hdXY03b94gPT0d2dnZkMvlOH/+PIKCguDj4wO5XA65XI6PHz/i2bNnuHPnDi5evIiKigocPnwYgwYNgr6+Pq5fv46CggI8e/YM9+/fx82bN3Hu3DkcPXoUs2bNohI6w4cPx9mzZ/Hbb7/hzJkzOH78OEaNGqXSaMRmF1u2bImAgACMHTsWc+bMwfr163HgwAG6wWF1wo4cOYJt27bB39+fduyNGDFCsHzHesE2b95cVEbfxcWFs7MvISGB8kaTkpIEn6+kpCTMnTsXDg4OWLlyJe/3RkVFoU+fPoL6U7GxsZR6wicwPHPmTFy7do12fXPh22+/RXV1NW8n8pkzZyjVZt26dTAyMvoSVP2VnKrHjx9jwYIFVEaB7bDo27evyg2YkpJCbQhcXFwQHBwMKysrlYWZYRhs374dderUgaOjI5KTk/Hw4UM1y5OSkhK0aNECjRo14hX/XLt2LerUqUMnXa5I38fHR2PWpSbatm3LKe2vDFZpm+/YWHTr1o1a6fChoqIChIhTzI6MjISHhwcePXrE26316dMn6OrqUv4S34Pzww8/wMTERPDhKi4uhrGxsagU+PTp01G3bl3BDIdcLkf//v1hbm6OGzduQFdXF+Hh4aKDFAD0vhRS4WfvYyGlZTs7OxBCsGfPHsHvbt26NQjhd5BXxuTJk0GIghwrZuFmg2NCCGfnjzLKyspoECZk+s2ioKAAHTt2hJaWFq/bQU0UFhZi8+bN/1bH1n+Kt2/fIjo6mj7/6enptFuY9Tzct28fLespBzsnTpwQpd32d4HY81taWirquSkpKVETcNaEBw8ecPJuXr58iWPHjmH+/Pno2bMn6taty+taERcXRxsc2CBswIABOHDggKhFvaCgAK6urnB3dxflmfnw4UMQwm1srDwv7d27Fzo6Orybrby8PBQUFMDGxoaXqA4oyOpidA+zs7Px888/Q1tbm/caZ2Vl0YYVvgaiV69eQSqVwtjYmLN5SHnNaNWqFUaOHMl7jJ8LX4KqGpDL5VTPhn05ODioXeDMzEyqF0KIomuvJgkwPz+ftu77+fnBxMRELaX55s0bODo6okWLFigtLdVIHs/KygIh6orZNWFhYSHYnSaXy2FmZobo6GjecYBCAE6oFMPim2++EZV9AsSLf8bGxkJHR0fQoxBQ6GQNGzZMcNzr16+hra3NacKpjLCwMFEBwcuXL6Grqys4AQGKQKBZs2ZwdXWlhFAfHx9RJGoAtARSu3ZtXmVklpugpaXFm2ns1q0bCFF0EwllJHv27EmfCTF+kMrK4WLKHSxRmhBxNkZBQUF0vJhMYXp6Oj1/X331leB4QFHqmj9/PkxMTEQFnoBiU3Xz5k1OPbmaYx8/fqxxkWNFPA0MDOj9WllZCW9vb7Xg88yZM/T//Pz86DPz5s0b1KlTB4MHDxbVAPAFwmAYRmNwVFJSonJPskGuGA01QBF4fPz4Ec2aNeMUndaENWvWoE6dOqLmyejoaNStW1fU59apU4c3W8Ri6NChohp4VqxYIcof9sCBA5BIJLwlSuAPzpRQcxQrIi2GpP85IDao0iL/EEgkElJZWUmmT59OgoKCSL9+/YijoyOZNm0aOXr0KB3n7u5OHB0dCcMwhBBCysvLSZ8+fUhsbCwdY2trS44fP05Wr15Nrl69SkpKSkjv3r3Ju3fv6mgvRAAAIABJREFU6BgbGxty5swZ8uLFC/Ltt9+S0aNHk5ycHJVjcnNzIw0aNCBJSUmcx/3p0ydSWFhI7O3teX9fdnY2+fDhA2nfvr3gubh16xZp0aKF4DhCCCktLSXGxsaixlpZWZGCggLBcZ6enqS6upo8fvxYcGy3bt3IuXPn6PXgQt26dUlAQADZuXOn4GeGhISQgoICEh8fzzuufv36ZPz48WTVqlWksrKSVFdXc441NDQkx48fJyUlJSQ3N5cQQkh6ejpp0aIF2bRpk2IHwwMrKytCCCH29vYkKSmJ8/c2aNCAEEKIsbExSUpKIp8+fdI4zs3NjRCiuO8TEhJIUVER53ebmZkRQgixsLAgd+/eJZWVlbzHWlZWRuzs7EinTp1U7nlNKCoqIj4+PsTMzIz4+vqSJ0+e8I5/9OgR0dPTo/82NTXlHX/16lXSoUMH8uLFC0IIIf379+cdX1xcTBYtWkQcHR3JkiVLiJubGwkMDOR9T1ZWFpk/fz5xdnYmCxcuJA4ODhrHASCpqakkMjKSuLq6kt9//51IJBL6948fP5L58+eThg0bklWrVhFPT08yfPhwQgghN2/eJM2aNSOEEKKtrU1q1apFCPnjviBEcX2uXLlCCFHML/PmzSOJiYmkSZMmZMiQISQzM1PlWOLi4silS5cEr+cXKCCRSIiBgYHK/1VWVpLo6GhSu3ZtMmPGDDJnzhyybNkyEhkZSV6/fi34mVlZWWTYsGGkd+/e5PXr1+Ts2bPE1tZW1PGcOHGC9OzZk94LfCgoKFC5V/hQWVmp8oxxoaSkhJiYmAiOy8/PF1yfCFHMh87OzsTQ0JB33Llz50j9+vXpHMaF+Ph4YmVlRbp06SL43X8pxERen/v1d5dUYBgG7969w9WrV7Fz505ERkZi4MCBKkTxsrIyBAcHq6SD/fz81FLX58+fp6RLTV0aEyZMQMuWLVFeXq6R58NG43wCZ6Wlpfjpp5+gr6/Pu6thMzP29vZYvHix4HkAFCXF6dOnixrr6+uLkJAQwXFsy25iYqJgByLra3X37l1ek1fgDwX7zMxMWj7hwtChQ9GkSRPs27ePl7Cfl5eH2rVrY+nSpaJ+W2pqqop2i1AJmEV4eDhmz54NExMT3p1cVFQUlYHIzs7mHLdp0ybqMcfXDAAoLHtiYmIgkUgENV8YhsGHDx8wZMgQUT6LgIK3o62tjf3794vikezcuRO1atVCQkKCqF3o7Nmz6TnnKwnJ5XIsW7ZMhUvDJTDIMAx+/PFHlexRgwYNNHYlPXjwACEhIbC3t6dja3LBGIbBmjVrVOaLmhnqqKgo2NjYIDk5mWY4c3NzsWDBAjg5OeG7775TGV9VVaXSOde7d2+VEuGzZ89Qr1496OrqolOnToiKiqLcpC/4a6CsyVeTJsKFnJwcFBYWQltbW7CrjsXYsWPh7+8vOI6VLRDj0ern54cpU6YIjuvbty+vTQ3b1BMQEMBb9SguLkZFRQU6dOjA2xz17Nkz5Ofnw9XVVTRl4XOAfCn//TWQSqU4f/48wsLC4OLioqJ9U1JSgj59+tCHSldXV2WBffDgAWJiYkAIga+vr1o9Pz4+HgsWLKDlAK6yQ//+/dG2bVu0a9cOKSkpnIHKpUuXqN3Kjh07eBfl8vJybNy4Ee7u7pg2bRqvMTDDMDh58iR69OiBgIAAXgJzeXk5bty4gYYNG2LQoEG8St/FxcW4efMmTExM4OfnxxvUFBcX4/Tp07R7KDw8nHNsdnY2Pa98HYgMw+Dw4cNo3rw5CFH4RfKhoqKCthgTomhN19XVRUREBO/7gD/Iuzo6OrwyExUVFaiurkbDhg15J5SCggIwDIOOHTsKTrasvICFhYUo3TAA+P777+Hp6SlqLNvEwJKthdCpUyfqESjUdJGSkgItLS38+OOPiIyMFPxs1sGgVq1agp6Wt2/fhr6+Ph1fs6OXhVQqVSlxdu7cWSM5ffPmzXQe0LQIeXt7qzVbyOVyMAyD5cuXw9TUVI3fx+rc6ejooEePHmrlq3v37qm4Abi4uKhs0NLT07Fu3Trs2LEDBw8exJkzZ5CSkoLMzMw/xQn8AnVkZWWpdDEGBQWJsmmKjo6Gj48PJBIJkpOTBTdlS5Ysgb+/PwYMGIBTp05xPjP379/HkSNHaBmei9/46dMnrF+/Hh4eHpg6dSrnxqayshKzZs2Cp6cnJk+ezCmX8OHDBwwaNAh169bF7NmzOUWAHz16hHbt2kFHRwcrV67kpE6w3X/s73jy5InGcZ8bX4Kq/xEePnyoQoBnGAaJiYn0JlDWqsrOzqbEVELUxRGVhUENDQ05u/++/vprOo5Ps4QlPrLBhBAXgyULEyKsPM1mRQgRNrVVVl/n86xiGEZlLJ96OMMwGDp0KB3LJ1pXUlICHx8fOpbPNPTq1at0YSWECE6KcrkcGzZsoO9hgyyxTurffPMN2rdvLzhuzZo1MDQ05G1jBv4giYsRFZw+fTocHR1F2a/8/PPP0NfXF6UTc/XqVRBCqMwAH549eyb6fH369Amurq7w9/enHWN8WL58OW2mmD17NnJzcznH/vLLLzA3N0fjxo2hp6fHyQUrLCyk9139+vXRoEEDjUT5NWvWgBCF2O3ChQvVsqOPHz8GIdyq1C9fvtSYuWAYBsOHD8f169dhbm4OPz8/tXvi2rVr9H6sXbs25s6dS4MvhmHw008/qYiJEkIwZswYFeJxbm4url+/jlOnTiE+Ph4//fQTVq5ciaVLlwoGXwzD4O3bt6ICiv9LYOdEX19fXnJ2TbCNRIQQeHp6Cp5f5fmfTzTz48ePKjpjfOLPyurrfJZRbm5udBxXkxLDMCq6ZVy8V3bzxa5PXMEXKyZM/sVt+zONKf8JvgRVfzMUFxcjJCQEFhYWKrokixYtojdIzXZs5ZuML1hiJ3VTU1PerpLi4mJRQQcLtlVWqKwCABcuXKBjhUyVle0VhEjgmZmZVIxw/vz5vGNLS0vpQy5kDJyXl6cx0NWEpKQkWl7iylbURE5ODrp06QJ7e3uMHj0aJiYmePjwoeD7WJVkIYJ7UVERDAwMBLsAGYZBy5YtRZXqWNFRIYG+jx8/UjsZPvV+FnFxcdDS0hJF0F2yZAnMzc1FdRWGhYXB2NhYVMmSLZmy9xvXQvXp0ydMmjSJPiOlpaVYvXq1xuAxKSkJ9evXh42NDU6cOIHt27er6XYxDEOfcfa50FSiX7VqFczMzFBVVcXZbdq3b1906tRJ7f/Z33Lv3j3UrVsXzZs3V1toTp48CX9/f6xevRpGRkZo0KABDh06RH9Xenq6ygJpYmKC4OBgnD9/HnK5HO/evcPkyZNVNKYIIRgxYoTK+c/Ly8OGDRswY8YM9O3bF15eXjA0NISPj4/Gc15VVYU7d+5g9+7dCAsLQ5cuXQSfsVevXuHAgQOirXT+Fxm37Oxs2NraYvfu3X/aI5INqrS0tHibVlgoO18I+eC1bdsWhBBYWFjwUkXYDl9CCG9jxpAhQ2j2lS+4Ye8td3d3zi7BgoIC+p3Tpk3j/Ky4uDgQohCnFaJ5fE58Cao48OjRI1G764qKiv+KWuvt27dVVKirqqpoRohNY7IPIcMwNHXPt8iyi4CYBVZfXx+1a9cW5ZfE+u61bdtWcCzDMNTuQqhtnmEY+nArCyBygV0Qxcg1ZGZmwtDQUFS2586dOzAyMhLVXZiYmAgtLa0/ZU/DMAx+/vlnnDhxAs2bN4eXl5dg50t1dTUVIRTCpEmT0KhRI7VJquYkznLN0tPT1T7jyZMnKsfUtGlTXid5QJHxuX79OggR7lwFFN1BdnZ2gjpcDMPA2dlZpayZnZ2tMcC6fPkyJBKJoASFXC7H1KlTRV27jIwMeHh4wMTEhLcLsqysjG44Bg4cSDcyNc87wzCYPXs2CCGClkO+vr4ICgpCQkKCmoo1y39hd+h8Ni6PHz+Gg4MD3Nzc1IJYdmP08uVL6mjQtWtX2mVVWlqKoKAgeHp6Ys2aNTSba2dnh9mzZyMjIwPp6eno3LmzSombEAJ7e3sMGzYMP/74I3bu3IkuXbqoBF+6urrw9vbG0KFDsWjRIuzbtw+TJk1Sy5AZGRlh8uTJWLZsGWJjY5GcnIzffvsNmzdvRlBQELU7IYRg1apVSE5OppqCBQUF9F4pKytDYmIiBg0ahHHjxvGe+/8GUlJS/m1fRDaoEkMbABQBMyGKbmOhNYulPQg9i/Hx8SBEwRPmA5v9FZozWN/UxMREzjElJSU0+8SXgWd9Ev+sSf1/in98UDV27Fi0bNkSgYGBWLp0KQ4dOoT79+9j6dKlaNq0KRITE1FdXY1Tp07By8sLI0eOxLp163Dx4kV8/PgRWVlZ6NSpE1VQl8vlaNGiBcaNG4f4+HgV0nRNRdelS5dizpw5grv4GzduICUlRaU8kp2drZLi79ixIxo3bsy7C4iMjISLiwuuXLkiSEp2dHTEjBkzEB8fL6iV8ubNGxBCRBHVP336hFGjRkFLS0swzX/jxg2sX78ehBBerZ3Xr1/j0KFDKC8vR8OGDdUU6VlIpVKcOHGCLiJxcXFwc3PTODYjIwOXL1+m/z516pTGAOzVq1dqO+Ht27cjLCxM5f9evnyJvXv38u5G5XI5cnJy0LhxY1Gmwj/88INaUKWJUJ2ZmYl27dqpiTWuXLlSZXcul8vRpUsXjQFsWloahgwZQifjn376SXARGj16NCZPnowePXqIKivu2rUL/v7+aNSoEe+4oqIidO3alWYq2DZ0TQvFhg0b0KdPH41/U86q5uXlwdbWVhQxd/jw4Wjbtq2g08DJkydRp04dxMbG8i5i7969g4ODAydHjr1GUqkU/fv3x7Fjx+Do6KhWlnFwcMCTJ08gk8nQsWNHwUxiXl4e3NzceMvagIJj2aRJE7UspnIJMiMjAxEREbCzs4Oenh5KS0sp19DR0RE5OTlITk7GokWL0K1bN9oEEB8fj+vXr1Ou2ejRozFz5kz06tWLaq0RolA1nz17NrXIqV+/Ptq3bw8HBwcVf0RCCLXiEXq1atVKpWTv4OAALy8vODs7o0GDBrC2tkadOnVUNP1evHiBKVOmUA5bVlYWfv75ZwQFBcHd3V2UDtXmzZsFfU8BRbC9b98+TqHO6OhouLq6oqKiAvfv3xfkIrIZngkTJggGcpcvXwYh/JQHQCEbRAg/PQP4I6Bbu3Yt77w/evRoeHt74/jx45wbeqlUCkIIEhIScOPGDc6MZXR0NFq3bg2pVIp3794hMTFRtCjuf4J/fFB18OBBhISEoEePHio2CMovV1dXLF68GGFhYfD394eZmRn9G+vNRQhBQEAArl+/jjlz5qB169Y0Be7t7Y3Q0FB4enqiYcOGtDtwzZo1sLS0RO3atTF27Fi6Ezx58qRK502fPn3QpUsXAIp066VLl1C3bl2VTJafnx8I4dfiWLFiBY4ePQovLy90796d97z06NEDN27cACHconLKsLKy4gxQlPH+/Xt63oTQu3dvDBo0CK1ateJ9ENkMS2FhIX799VfO3b5MJoO+vr6KRhZXd+O4cePUMm9HjhxRG3f48GEQQtQm05rp9TFjxsDOzk7UpKtMXk5JSRHsZlTGxIkTsWrVKlHZ0+nTp6N3796iyh4vX76ku36x6NSpE2rXri1ab4dhGDRt2hSECHPSWMjlcvTu3Zs3EKsZyLKK6jV3w3zirVVVVfQ6lJaWivZ/1NSpqwmavlsul2P58uVqWb5169aBEHUftXr16qFdu3Z/SqBUSLCWhUwm4/VZUz7mmtnyiooKNZ6nTCZDWlqaSsBw69YttWtSVlaGW7duUbuUT58+Yfv27QgICKC/Uy6X49WrV7h58yaOHz+O6upqnD17FqNGjYKRkRFSU1Px5s0bPHz4EDdv3kR8fDymTJmCvn37qhhh+/n5Yc6cOVi0aBFWrlyJmJgYbNmyBUlJSSgrK8OCBQugr6+P+vXro2/fvrCwsAAhBHp6eujYsSPmzp3Lq1Quk8kwdepU0c9RRkYGCOHuPI2JiaGb+ZCQELRu3VrwM8V69VVVVaFWrVqismCWlpZwdXXlHZOfn0/5V3ycyXnz5uHIkSMwMjLC5s2bNY5hGAY9e/YEwzDo27cvAgICNI5bv349LUmuW7cOhoaGfwlf7x8fVNVEWVkZ7ty5Qzu52Fe9evUQGBiIly9fgmEYPH/+HEeOHMG3336rFoQNGTIEDx48wMePH3Hs2DFMnz4dnp6eKmNYg9Ty8nJs3ryZBmd9+vRBt27d4OfnRyfkw4cP0zb21NRUWFtbgxBCOVdJSUmQSCSCJPEHDx5g9erVqF27tiBv5/bt29i8eTMMDAxELbqs4akYWFlZCaaVAYVflJubG+ekwoL1ymODVb6H1s/PD2PHjqX/5loc9+zZg1q1agkuOiy/iI/Mf+fOHUgkkn/LKT0vLw9169ZFQkKCqEDp0KFDIETBrRNa+FkV7oCAAMFrLJVKIZFIIJFIRIvoOTo6ghCi1uLPBXZ3TIg4wjwAzJ8/H4QQtGvXTtT49+/fo3PnzqhVq5ZoY9rz58+jbdu2osffvn2bt2OWxZUrVzjb59+/f4+ePXvC3t5eJSj88OEDzdbULOOzm0JlF4C0tDT89NNPooQh/38CwzCiOEhlZWW8FAa5XI67d+9i9erVmDZtmtozJpfLsW/fPrXsV0BAANasWYOUlBTe7Af7DH748AHdunWDnp4eEhISRP3GZcuWwcrKipdbxGLatGmingH2mRdjcO7i4iJKHob1/+MDwzCYN28eCCG85ys1NZUqqvPNAS9evEBlZSUMDQ05m0PYuZthGDRp0gRjxowR/C2fA1+CKg14+/Yt1qxZg19++QUZGRmc/Jbq6mqEhoZi0qRJWLx4MbZv347Tp08jPT1dbVfHenWxvAFTU1M0btwYBw8eBMMwqK6uxuHDh6kVCJshexMdDaZBA8gJwXsjI0z+l36Ni4sLAAX3y9TUFEOHDhVcdPPz82FkZIS5c+eKOg/9+/fn3AXUxMqVK+Hg4CBqbIcOHXi7T1gkJCRAS0tL1G7axcVFVKt8WFgYmjRpIjguJydH1OTD1vdZY9uaYBgGXbp0QYsWLURnN2qCDdy/+eYbwbbpoqIimiHt3bs3LzdLucuzV69egrpE7K7e1NSU14sRUDwbbFlGV1dXVLZq4MCB9HjEKO6zbd/suRFCVlYW3bwIZWoBRWmX1Q8SalIAFAFM37594ePjw5stSktLw9dffw0bGxuNZZjr169TLauaUiIs90rTMbFZCB0dHZqJYBgGHTp0gLOzMxITE/8r/M//q2AYBgcPHsTYsWMxcOBA+hw7OTlh3rx5ot4fHByMR48ewdXVFfXq1RNFKGfRpk0bUY1CgKJZSIjXBPxhEyama7Zz586iNr8zZsyAr6+v4LiYmBhYWVkJjmPnfaGsPtvIJNQclZaWBkLES7X8p/gSVP1FKCwsRHl5Oe/uqry8XEXHZhghKCdEcfr/9Sr71/+3adMG586dg5ubG5o3b857A75+/RoMw2Dw4MFwcHAQVYJifZXEWK8AivSqWPuD8ePHi7IJYe15xPCLgoODRU0q7AMrlAZmGAa2trai9JisrKzUbH8YhkFZWRlOnDgBQhSdch8+fMDQoUOxcOFC3Lp1S/QCd/HiRXpPmJubIy4ujve9LLmfLWlwZVjkcjnq1KkDQgiMjY0xc+ZM3s9lBS7t7e0RGRkp6B/Gdk0OGDBAUJywsLAQEyZMgImJCdzd3QV3yMXFxQgKCqKcGCHxweTkZBVBTT4bHJlMhpiYGBgbG9PyDl8JNjU1ldpR8QXimZmZKoFjTQsQhmEQHR2twhFiy16AouzIdgabmpqqbUzYbLibmxsWLVpErw/bLECIwgxeuRNKLpfj9OnToku0XyAesbGxIERBqm/WrBny8vJEv/fNmzeQSCQ4fPiwqPGTJk1Cx44dRY2tXbu2KNuo3r17C2q0AcDUqVNFzb2zZ8+Gj4+P4LiIiAi4u7sLjgsPD6fJBT5MmTIFzs7Of9mG4ktQ9TeDVCrFkydPkJSUhGIzM5WAin09I4o2Wi0tLVhYWAjq+kRFRWH8+PG8GRVlfPjwAVeuXAEh/Grcyti0aRPMzMxEjV27di2sra0Fx8lkMujq6mLnzp2CD8SOHTugq6uLyspK3vQyq2906dIlQe7J0KFD0bVrVyp6yYXWrVurlbhevHiB0aNHw93dnQpUAorsENupaWtri0mTJuHkyZO85Tc2fU2Iwuj72LFjvOWcqKgo6OvrQ0dHR9AXq2vXrpSYK5SpCgoKQlBQEKysrAQJnwUFBZSAzadfo4zq6mrqyyiGR3b//n2azeETkgUU5zAkJIRm8fiemefPn1PxW0L427avXLmiwsXk0l7Lz89Hjx496DgPDw+1zCXDMMjLy0ODBg1AiEJ7qOZ9X15eTlXnWT4NiyVLliAkJAQNGzZUe5+y2Kyfn59KufratWswMDCAk5MTxowZg927dyMnJ+dLVus/wKtXr1S4twsWLBDN53n9+jV27NiB2rVri37P+PHjBU2NWVhZWYnyyhw8eLDK3PWffndgYCB69uzJ+Xf2fuvevTtvMFdUVITq6mp4eHjwNkfdvXsXBQUFMDU1VSmJ/7fxJaj6O0Mi0RhUyZVq+wYGBli+fDnvBMgKY1pYWGDTpk2C/Irg4GCqnfT06VPBxfbatWuIiYmBoaEhrly5wiuW+PTpUyQmJoIQhRYQV6u9TCbDo0eP0Lx5c3z77be8gp5v3rzB77//DkIIxo0bh507d2ocV1ZWhtzcXFhZWWH48OG8JMxnz54hOjoahoaGGDp0KGeKOSMjA8OGDUOnTp0wb948eh0SEhLoNYqIiFBpbz979qyKuF5UVJTgNdm2bRs6duwIQ0NDBAcH817vlJQUnDt3Dj4+Pvjqq694s6OXLl1Cbm4u9PT0sGbNGt5j+PTpE54/fw6JRCKaFxIQEIAhQ4aIGpuXl0cDXjGYNm0aFSEVukfT0tKgra2NmJgY3iAJUPCZ3Nzc4OzsjNq1a/MGYPn5+VTqRE9Pj5O/U1FRgYCAAJqF4jKvnjt3LnR1dfHDDz9olAZheWdc9yP7HNTUwXrw4AG0tbWhp6eHpk2bqtETlDXWCFHIIygLUWZnZ2P58uXYsmUL4uPjkZSUhBs3buDRo0dfFNVrgGEY9O/fH+Rfm98BAwbgwoULooPUTp06wcfHB/7+/njw4IHg+44fP45Ro0ahS5cuOH36NOfzXlZWhtu3b8PZ2RlhYWG8z/DFixfpZ+7fv5/zM48cOYIRI0age/fuOHv2rMZxcrkcq1evhp+fH4KDg9XuTRZ5eXmYPn06LC0tsXz5ck6Kwfnz56mQaUJCAqdh9ebNm2FnZwdCFGK5Ql3snwtfgqq/GeLi4mBtbQ0zMzO84AiqnisFVb6+vrxaHWVlZXSyNDIy4lRiVsaoUaPo53fv3l3wod6+fTu1WRAitqekpKgEFHxaOj179qSZBT6NqLdv36pYbHBpnLByF+yx8rUBnz59mn4eIYTzgZwyZQr9PW3atAGgCAinTZtG3ztgwAC1zM6PP/4IQhS2JnXr1hUUKCwvL0dmZiaOHj0KiUTCKRsB/LHju3HjBiQSiWBbNKBIzZuZmfF2L7Ho3bu36FJDRESEaJsa1nVeSKoAUJyPOnXqiNqBVlZWwsvLCx06dIBcLufNUJaXl6NNmzawt7dHXl4e9u/fzzn26dOncHR0hIuLC/bu3YsFCxZwfmb37t1hYmKCK1euYNiwYRqfqeTkZEgkEmzatAkMw2h8rtmOYa5nUi6Xw87OTiMHLDQ0FBkZGWjQoAF8fHzU7ukDBw7QZ8PCwgJbt25VOVfx8fEqiteEEAwePFjl3i4qKsLjx4+RmpqKc+fO4fDhw9ixYwd+/PFH0cHX/+8Zsvj4eJiZmWH27NmidP5qolmzZvT88tlosQgKCqLj2S5xTWAYBp6envQa820qx44dS8fxUTVYNXiJRIIePXpwjmvRogUNMrlK+zKZjH6nlpYW57On3NCiq6vL2XS1ZMkSOs7b21sU7eVz4EtQpQFyuRxxcXF48uSJ4AOekJCArVu34u7du7xE5CtXrsDX1xejRo2i0gYPHz6k75HJZDh//jy+++47KnQ3jBB8qhFYlRGC4URBYt+yZQu1yGBb+GUymcpkzOqDWFlZqXGTuBZQtvShp6cnyi/p/fv3NLDo1auX4Hh/f3/64PCVkW7evEkfCj7vP+APew92V8IFVuGbECK4ICvz2zRlkvLy8mhwRIhCO6dx48Zo1qwZWrZsCUIIhg4dypmFmjx5MpKTkzFy5EgQQjB8+HBRbesrVqyAlpYWZ7ZDGd999x3MzMwEy2lFRUV0IRACyxMTKi1KpVLs3bsXOjo6ovRh4uPjIZFIRJX+du7cCR0dHVEm1PPmzYO+vr4guV4mk6F3794wMzMT/G337t1DvXr10LRpU7x9+xYymUxjU0BZWRk6d+4MU1NTSlLWFFwUFBSgXr16GDBgAO+cM2jQIN5nrLKyEt999x1cXFzUPoeda3JyctCgQQN4e3urBVZbt25F69atMW3aNGhpaaF58+YqZcYHDx7QUjQhiqaFSZMm4ffffwfDMMjJyVHhjbGv0aNHq5Dyy8vLcffuXRw8eBDLli3D6NGj0a5dO7Rq1Yq3y1Imk+HOnTvYvHmzKOcBQF1S478JuVyOX3755T9awNmgysXFRVSTDiu+TAjBhg0beMeuWrWKjmW7pTXh7NmzKpl0LuzZs4eO42suUS6n13QEUUbdunVBCIGXlxfndVPmCPLN4aGhoSBEofrPt3n/3PgSVP0LcrkcxcXFyMvLQ1ZWFgYNGgSW9zJs2DBs2bIFmZmZKC8vx4sXL5CWloakpCQV+xgDAwN06NAB4eHhiI+Px7Vr17Bv3z4sXrwYo0ePhoGBgcpEY2ZmhlGjRmH06NGwtLRdFlYYAAAgAElEQVSkXItOnTpBW1sb8+fPh2zPHpRZWkJOCMqtrBBUqxZMTU1RXl4OmUyG/Px8dO7cGTo6Ovjhhx9w5MgR7NmzB5s2bUKXLl3Qs2dPNGrUSOOCwmVpw6pA/5k6dLdu3UCIsFo78EdgI2Q8DIASgPmIxYBCV4VVahfqsOnZsycIIYIq2w8fPkStWrWgr6/P+Z3bt2+nQobsy8rKChKJBB4eHti6dSuuXr2qUa9IKpXSstXx48dRr149WFtbC5JTGYbByJEjYWJiImhTU1xcDFtbW4wYMYJ3HACsXr0aurq6auVbqVSqMsGxau58ZHK5XI6VK1dSyQk+8VYWP/zwA+rXr4+ZM2cKjvX19VVxsmeNpmtCuezHB7ZTS19fX42rVBM3btyAubk52rdvz+mzCSg6Q/38/GBhYaFmgl7zuwMCAmBvby+oa+Xg4KCyyNXUG8rKykJERITgOc/JyYGDgwOaNGmiJhjMbr4yMjLQqVMnEEIwcuRIKh5bXl6OMWPGwN3dHStWrICrqyvIvzZ6K1asQH5+Pi5cuEAbG9gXG6RNnz4d27dvR2hoqArviJA/FNcXLlyIffv24fLlyzhw4ADmzp0Lf39/mimztLTEqVOncPPmTTx58gRFRUUq9+j79++xY8cO9OzZU7Sf5t8lQ9a0aVNIJBJRLgSAYkPEbmqF+LX5+fk0G8R3r8lkMirdoyyCXBOvXr2i15ZPeHrTpk2CmTQAVMqI75qx+one3t68tAm24iKW7P+58I8PqgIDA9VS2ppederUUeEcsC/lUhYhBK1bt1axVNDR0YGTkxO6detGFYIbN26MzZs304ChefPmWLp0KSWF79mzR4XPEBYWhlGjRgEA9u/fDxMTE4wfP55OAtXV1QgPD4eWlhbtWGJflpaW8PHxgY+PDzw8PODs7AxHR0esXLkSEolE46IwY8YMeHl5QSqV4vLly7wLB4uNGzeCEGEvOoZhcO3aNTRv3hxdu3blHVtQUEA/l49gX1lZiVOnTuHYsWMghLukWF5ejuvXr9OyGN9nHj16FJWVlZg5cyZvV+POnTtpaz9LMPb394eTkxO8vb2hp6dHr4WQjERRURGCgoIEeTyAgqPTpk0bURYMR44cgbOzs0oGU1NpqaKiAm5ubmqTkFQqRWhoqMqis2zZMl5D7MLCQhgZGeH58+fw8fERDFQARUm0VatWaNWqFe+4jx8/okmTJipdbLNmzdLYJbps2TJa9qsJZRLwkydPYG5uLsoOKSAgAN27dxe0Etq3bx+sra0FA8qnT5+ibt26nC3f7Hn/9OkT2rRpQ9W4nz59qrZI/frrr2jcuDGaNm2KEydO8H7vs2fP4ODgwNvhyxq929vbq5GMWY0thmHw+++/Y9KkSTA1NYWenh5KSkpQXV2NrVu3wtraGunp6UhISMDUqVPh4+NDF/bY2FhER0dTHaju3bujV69ecHZ2VplbnZycBOdpiUQCQ0NDdO3aVeW9nTt3RocOHeDr6wsfHx+4u7ujUaNGtOReXV2NXbt24YcffgCguC8uX76MtWvXYujQoaJKcO/fv8fMmTMFuX2AIqBV7uqsiaZNm9INy+3btzk5Q8po06aNoAAnoJgrfX19RXXXDRs2DHp6eoJZZnd3d7Rs2ZJ3DJtdWrFiBe856tOnD1q1aoVr165xZu1v3bpF/Q7v3bvHyS/s3bs3vXYfPnz4U7y2/wT/+KDqxIkT2LZtGxISEnDy5ElcuXIF6enpCA0NhaGhIUaOHIkzZ87gwYMH+Pnnn3H06FFcu3YNDx8+RFFRETIzM2FpaYmwsDAaUMTGxuLcuXPIycmhKXe5XI7hw4fjyJEjlKdw9+5dXhNKZbCfw6pON2/eXOXvDx48QFhYGN01sBPKoEGDEBYWhoiICMybNw+LFi3CsmXLaC1cU/t3REQErl+/jrKyMkgkEl7rjqqqKkilUuzatQuE8JtqAoqH2tzcHMOHD8fEiRN5x0ZFRcHIyAg9evTgVQA+f/48CCG4c+cOunbtyrljYrMmWVlZGDNmDKeoKGsH9Ntvv6G4uJiTU8Cm0rds2YL27dsjOzsbR44cwcaNG1UC3pycHJw8eVK0oKXYe4K1AgEUpUgu6wlN3Yvjxo3TmD3hKmF7enqqGFULTU6PHj0CIfwG35qO08vLC/r6+oKdmQzD0GPYuXMnCCGc111TuS05ORkLFy5U+T8+biLDMHRzUVJSIpofJKacC3Arm6ekpGhU8q+oqNC4MYmJiQEhRMWTsKY9kTIKCwtFLTTl5eW8DSjKx1UzOPzw4YNamfHjx484deoULfVWVVVh165dKiraUqkUDx8+xIkTJ3Dp0iWUlpZi165d+Oqrr9CsWTMUFhbiyZMnuHnzJk6fPo358+eje/fuasLNQ4cOxeTJkzFjxgxERERg/vz5WLp0KTIyMvDrr79SKYqWLVvC09OTzp/m5ubo0aOHYEnt6NGjsLGxQd26dZGRkSF4jqZMmYLGjRtznveBAwfSgN3W1lbQeB5QZN+NjY0Fx7HNIEJG8gDg6uoqSnuwXbt2sLGx4R1TVlZGS3t889vEiRORlJQEY2NjTmeMu3fvUj5snz59ODsKIyIiaCaLbTrie8Y/F/7xQRUXLl26JLgTBRTtr2Im2M8VIS9duhSEaCZus38zNTXFmTNnEB4errHOXV5eTtPumgjPbKmQ5TRxySr89ttvGDFiBF20jYyMROk6hYaGwt7eXpATxHr5devWjXdxksvlcHR0REhICO7du8e5s2LF4goKCpCXl6dxkWAYBh07doSfnx+9ZjWDD4ZhEBUVBUII1ac6derUvy3uqQmszpVYlJWVwdvbm5cnoYzNmzdDX1+f1xBYGYMHD1b5vUJgd6ba2tqC/CQWFy5coAuhWCmPS5cuoVatWtDT0xP1jDEMg7Vr10JLS0uU/RKgKIN1795dFNeLYRj88ssvglwvmUyGn3/+mbMTii2f6unpafysyZMn002TMtgGiSZNmtDs3OzZs7Fo0aL/U116T5484c14FBQUID4+HmPGjNHoZJCSkkK7otmXjY0NZs6ciYSEBDx9+pTzfnr79i0ePHiAoqIiyocMDAwUZUn06dMnwRZ/ZT2rhg0biqJhsObKQnOGXC5H7dq1BTtgAYW0QYcOHQTHjRw5UpSbRnh4OAghvPfhpUuXkJmZyUvjePv2LUpLS1FaWgpdXV01vTcW7P0hl8vh5OQkuIn/XPgSVP1NUVVVhYSEBBWOEuu6TQhR0/5hAwv273wkTnZnz04GXGC1n2oGC8+fP6e6N8q76OnTp9MWdz6wop6nTp3iHQcoyhmEEE47DxaLFy+GhYUF7wPLEjr5gh+WoKnJjJYl47KcFS5vqs+FmTNnIiIiQrQwY2RkJAhR2CQJLeqvXr2iJZjZs2cLZoaUuYNckhXKYK8bIQpldzFQ1lISI9nw9OlT6r/WuHFjwfHl5eVUId3S0lIwCC4pKUFoaCi0tbUFFyGGYZCUlISWLVvylkUZhsGvv/4KDw8PtG/fXuPC/ebNG8pR1ORoEBcXx1lS7tWrF/0bW95+9uwZtLW14eLiImik/k/Ahw8fsHv3bqxatQphYWEIDAxEt27d0LJlS167KUAxL7dv3x7BwcGUAymWswUo6BtaWlqiSnqAwilCzEY1PT0dhBBRmTJ3d3dRtIERI0aIajz6/vvv4eXlJThu3bp1sLS0FBzHWoQJbQJY+7bXr1/zjmM7ucWcm8+BL0HV3wwvXrzA3LlzYWNjA0tLS7o4/v7775SITQjBwYMHVd539epV9OvXD4QoCKN79+7l/I7x48fDw8MD1tbWvPYCISEhKmXGiooKLF68mKpYe3p6qgRQbHlNU0BSE35+fqKE5QCgX79+aNy4MSoqKjh3gy9evIBEIlE7L8rgEyhly0m+vr7o1q2b2t/Ly8thZ2eH4cOHQ0tLC7t27RJ17Mq4d+8eLl++LNopvbCwENbW1tDR0UFgYCAv2RlQkFBZHSQzMzNB0dR27drR+6l79+68O23WU5AQAgcHB0E/xl27dlFu4eDBgwUXq9evX2PgwIHQ09ODg4OD4KQvlUoxatQoqgjv7+/PO/7p06cqxGk++w2GYRAfH08V4XV0dHg5bpcvX0aHDh1AiEIig6tjNjU1lRK/CdFMAP7tt99gY2NDx9Qsvb9//x79+/en/M6abfFeXl6oU6cOmjRpoiIZMmLECJWN1J8x6f4CBRiGwdixY+l5HDhw4J/WPurSpYto6y9AUXYXYytWVlamtsnlQu/evUVpx02fPl2USXNkZKQopfRZs2aJGjd16lRBjhagyJDVNL3XhN69e4ty8Phc+BJU/Q9QUVFB6/lszffVq1fo37+/Ch+qZoCwdu1a6Ovrw9PTU438yjAMzQDduXNHMFPBWhDk5uZyLrz+/v4ICgqi/z59+rRKO3VcXJzae3x8fDB69Gg8fPiQN3iIjY2FtrY28vLyqBwEF54/fw59fX3qLM+Fbt26oWfPnsjNzdVYLly8eDFnRmPZsmXYv38/CCG4ceOGxveyv1uZW/RnIJVK0atXL+jr66Nbt25YsWIFbty4wZsxURYRZcs9fCn+wMBAOjYsLIx3F6csQ5GYmMi7M8zOzoaTkxMMDQ2xatUqwd965coVqjslFICxqKqqohw+MVpVHz9+hJGREfr166dikq0JxcXFWLhwIf29fJnPnJwcDBkyhI7l8187fvw49UQkhFv7LDs7W8XXkysDcOfOHcrxqVOnjsYSV0ZGBs0w1izf37p1C4GBgWqaQXfv3qXf3bhxYxw6dAiAojli6tSpWLhwIY4ePYoXL178bbrg/m5Yv369yrPYqlUrUZIegOK6sn6iYgIfFk2bNhUlcwIA9evXp2R7PoSEhIgKWvjmS2XMnj0bzZo1Exw3fPhw3swXe9/5+vrycjHfv38PqVQKMzMz3rno4sWLePTokSAv+HPjS1D1mcEwDCoqKlQCips3b2L69Ono0aMHGjZsCIlEAhMTEzWS+IIFC+gDW1Omv6KiAvXq1UNISAgeP36scQG8dOnS/2PvusOiuPru3V126U06SlEUjbFgQ1GxIYoiltiwIRrsBRWjwUIs2CXEgr2gxhKNJbFjNxp772IHsSIdFnZ3zvfHvnPDsDvFFN98b3KeZ58nwbtldmfu/Mr5nQNCiKR2Ud26dXlH158/f05LtQsXLqQbx40bN2BrawsnJydUqVLFoGX0+vVrzJo1C5aWlvD09OS9oRcWFiI1NRXW1taoVKkSxowZI/hZjx07RvkPSqXSaFDx7t07rFy5EnK5HFWqVDGo6uzcuRPDhw9Ho0aN8OjRI4NAxs/PD3K5HLVq1cKvv/7KubG8fPmSI4cRHBxMyZa7du3C3LlzsWbNGuzevRunT5/GnTt3eCsB+fn5nJsrIQRff/01b8uUHbdn14pxoK5cuQJbW1tUqFABzZo1EwyUHj9+jGHDhsHf3x9+fn6CQbBGo8GNGzfw1VdfwcnJSRLfi2EY2NvbS+ZhsRZCUiYFAT0p28LCAh8+fBC9ub169QqOjo6IiIhA+/btBUex8/Pz4e/vDzc3N8jlckF+17Nnz1CpUiVaHeSr9uXn5yMwMJBWmPimv5KTk0GInuDPNy0aExMDT09P6HQ6o7/vrFmzjBKMQ0JC4O3tDYVCwQkqHz16RCdXCdETtENDQyW3qP4JSElJoXvL+PHj8csvv4i2zEtj8ODBqFq1KhwcHPDs2TPR1lZxcTFu3LgBf39/REdHC7oM6HQ6vHz5Es2aNUPfvn0F5UPS09OxaNEi2NvbCyYvqampWLp0Kezs7HDmzBle38IzZ85g3LhxqFevHq5du2b0uLRaLdatW4dmzZph0KBBvO957do1zJ07FyqVCmvXruWtAq5cuZJOzt+4cYN3QCcqKgru7u5wcHDA/fv3Pxmn8N+gygguX76MJUuWYP369di+fTsOHDiAU6dO4cqVK5wpnTt37qBatWpwdnaGjY0NVCoVCCEYOnQo56bz/v176iBPCIGbmxtnU9Vqtfjqq69ACEFISAjc3NwMNufly5dDqVQKmnKyLRopJ4+LiwvvzY51MidEr8K+Zs0aOvbdrFkzPHr0yCj588SJE5xKGx9BWaPRICgoiK4TUksH9JONpf3VjFUZbt68SduShBDOuD0ASig1MzND48aNOf9WXFxMb3Yymczg2AYOHAhCCAIDAw02t+LiYo56Ovsay5cv5z0e1gaFXTto0CBBIv7z58/h4uJCVY4TExMFqwk7d+7E9evXYWVlhb59+wquzc/Px/3792FmZoYpU6bwrmPx+vVrmJubi1rasGjXrh169OghaS3rNykmJwF8HPmUDUy9vLyQnZ3NuwkD+mpiSEgI3YiXLFnCu5YNRmrWrIk1a9bwarQVFBSgRYsWcHBwwIULF3iDpTt37sDCwgJjxowBwzBGvweNRgMXFxfB32rnzp0gxJC0fOLECaSmpqJPnz6wtLTkkORLB4eEEHTu3JmekywPbP78+YiPj0dcXBxiY2MRExPzl/MK/w5Qq9VYsWIF7t69+7ureKX5gu3atZMkSFq7dm0olUqYmJgItqsBPZeOTfyEOIyrV6+m0hQymYx36nTZsmX09VQqFe9QwLBhw2BiYgKlUinIq2KtnCwtLXnNz1+8eEG/I0tLS96hm2XLltF1rq6uvFO/rB4h26r9VCKw/wZVRnD37l2UK1eOc6N0d3fH1q1b6UX17NkzLFiwgJPhOTk5cXRu3rx5g9jYWNjY2MDKygpyuRy+vr6cSP3Dhw8ICQmBSqXC+vXrUVhYaBA0aDQaeHt7i15Yy5cvh42NjejxlZSUiPq3scJvlSpVwosXL+Dj44PatWvTkVS+zWX27Nn0+zhz5gy0Wq3Rk5k12yVEXBAO0FeLateuDUIIrw8g6wpvjIvCis8RYij6yXLBCDFUBb527RoaNWqElJQUwQ11y5YtnGqWn58flixZIsgBK1++PObMmQNnZ2eUK1cOq1at4r3wL1++DIZhMGfOHBBCMHLkSNFM+cCBA1AoFAbSAcawaNEiKBQKjj4aH8aOHQsXFxdJqtHTp0+Hh4eH6DpAr6gul8slWeWwqu5SREVXrlwJmUwmyvXT6XTo168fLCwsRL+H+/fvw93dHXXq1MH79+8NqtMsCgoK0KpVK5QrV45WT42ty8/PR/Xq1eHv7y9YMWSPW0gdnp2e4tO9Ki4uRlBQEFxcXDjj7WlpafD19UXlypXh4OAAa2trTJs2DTk5OSgsLERsbCzl7LGPhIQEzu/FMAxevXqFU6dOYdWqVYiJiUGHDh0knYNFRUU4e/bs/2T7sXnz5iBEz0eUKrNRejiEbdfygZWVIUTY2qaoqIhy9ipWrMi7Lisri2rsCfFuSw+kGLNGYsFK+BDCr2VYOpkPDAzkPQ9Y7UJChIU9WQ5l7dq1P2qS+o/i36AK+gApOTkZ/fv351RECNGTVCdMmIC8vDw8e/YMCxcuhL+/P+U8sOTw0NBQ2oJ49uwZRowYATMzMzg4OGDGjBnIzMxEUFAQp6R59+5dVKlSBW5uboIaRhs3boRcLhe12ZgxYwZ8fHw4fzNW2WK1SkoTZYuLizkin6zNytKlS1G7dm34+PhI4g/odDo6gbR3715otVq0aNECgwYNwt69ezmZ0ZUrV2BmZoaaNWuKvi6g59C0bNnSQKOrNIYMGQJCDCfzrly5AkL0qvdlbTBYjS1jVYn09HTJmzxbuezXrx8iIiJgbm4OlUqFnj17IiUlxSBgunXrFgoKCpCVlUVtQfz9/Y2KWJbGtm3bYGpqig4dOoi62LNZ3YYNGwTX6XQ6tGzZEr6+vqLBUkZGBkxNTQXbDGyWmZKSIrklPX/+fLi4uAiKUbJo06aNATndWDCSmpoKCwsLSSrtX331FRQKhehU6q1bt+Di4gJ/f3/BALCwsBDBwcGws7PjlU5g0b9/f9jZ2Ylyybp164amTZsKrlGr1VAoFOjevTvv58vOzkatWrVQtWpVzk0+IyMDCQkJyMnJwfTp02FjYwMHBwfMnz8fBQUFuHnzJgICAui1JJPJIJfLERAQgG+++QYLFizg8C7ZR6dOnTBz5kxs3boVly5dQlZWFtRqNU6dOoVp06ahefPmMDU1xZAhQ6BWqwWvucePHyM+Pl6ShcvfBZ9//jlUKpUof7Q0bt++DUL0siRiAswMw9A9W8guBtC3h9mKmRBYfubo0aN51xQUFNCBFGNcVBbz588HIXohViHY2NiAECJ4P2S12MpSZMrCwcEBTk5Ov8t/8Y/gHx9UdenShXJ1AgMDERcXh+PHj+Obb75B69atKZ+C5TrY2NggIiIC+/btg1qtpj5U7Cbw6tUrKJVKVKhQAYmJiZwIufQmwDAM6tSpA39/f1HuwoABA4yeQPfu3eO0+mbPns0p/V69etUoX+nOnTvw9PSkSrQMwyAqKopz4/viiy/g4+ODefPmwdXVlVe1tjQ6duyI+vXro06dOlCpVPDx8UHjxo3pFBUhBObm5mjYsCF69eqFx48fIzk5mVc4Ljc3FzNnzuQEDmq1GuHh4QYVoH379kGj0aCoqAj169c3kJwoKSmBubk5vvjiC4PgJjo6mtPOKiwsxPr160WDqTt37mDs2LEcvavc3FzKlcvOzqZeaoToRQiFcO3aNQQEBECpVIoGIWfOnIGDg4OkceuYmBh4e3uLqj0/f/4c9vb2HKX53Nxco8H0qFGjBNsMzZs3x8WLF5GdnQ1nZ2dJlhtz586Fj4+PqKVOTk4OKlSowDGhfvfuHeLj4w3WTp06FTVr1hRtiaempsLMzAzJycmin7N169Zo0qSJoEcdoDcat7W1Fb2RPn78GFZWVoIK/4C+Yv35558btVfKzMzkXCf+/v5wcHAQJOS/fPkSHh4emDVrFufvpc/79+/fY8KECTA3N6dDIjqdDsuXL0dYWBjevXuHbdu2YeDAgVQVnVWmZz0+FQoFWrduDW9vbw49wJhDBftQKBSwsbGBu7s7qlSpgujoaMrLIYSgWrVqSExMRFxcHEaNGoW+ffsiNDTUoMJx5MgRuoczDEP3nIEDB0oaoLh8+bJoQsLi119/5a0yurq60mAnPz8fT58+FW1HMQwDHx8fUYcBQL8vJiYmghAiyr+6fPkyLC0tBQ3lgd/oJMYGkkojKCgIzs7OgsfDJldJSUmCgzmVK1dG165dce/ePd7vMiEhgVJkWIuisigqKoJKpaLV2tzc3H8lFfCJgqrDhw/j6NGjBtl5WfG39PR07N27VxJf6fDhw5LG5p88eSJ4oyv9/mWzsl9//VUwY2Xba1Im1ZYsWQK5XM452ceMGYPk5GQwDMN7gz958iQns541axbGjRuHsWPHIjw8HC1btsSoUaNoP50QvQxDixYtYGZmBnNzc0RFRaFXr17QarVISUnhvNfp06dhbW0Nd3d3fP/99/T7YH0aWTx//hympqa0Lfj06VODoAoAzaDLVu9KDwy8ffsWAQEBsLW15QRLGzduxKNHj5Cfn49169ZROQJPT09JEhK3b9+WlKXqdDrJyutPnz6VdJ7pdDoaGBUVFQlWosoGqwzDoHHjxgYmqIWFhaJyDTVr1kRxcbHkSl9JSQnc3NwkWWiUlJTQ9idLLDcWVDEMI9iCLd0+lKoH9vbtW9EKIfveUvhhACSP5jMMY3BTevz4MVq0aMH5nlmhW7GgOyMjQxLXJCMjw0AWo2z1hGEY3LlzB5s3b6Z/u3TpEkdSQ61W4/79+9i3bx++++47/PLLL5g/fz41ER4+fDh27dqFTZs2YcWKFZg9ezYCAwM51l+E6F0jXFxcUK1aNQQEBKB9+/bo06cPRo4ciZKSEjx+/BidO3cGIXoP0/DwcBr0qVQqNGnShNr9GMOHDx8wfPhwyGQytGrVSvQcTktLg7m5udEqK8MwGDx4MH2NAwcOgBAiGpQDehqGFNmARYsWwcbGBpUqVRLsKLBefV26dOEVzWRRr1492NraiibU7dq1g62treCat2/fUkqJkKJ68+bNcefOHVhbW/Mq2c+fP59aMHXo0MFoxe3x48dYs2YN/f+FCxfC0tJSkE/5Z+EfH1T9XXHw4EFekuy+fftgbm6OESNGGP330kRwPql/FkePHoVCoYC7uzvn73v37uXNKEpKSjBp0iR89tlngptNTk4O1Go1+vXrh6VLl3ICsKysLCxatIiasTZs2BDdunWDq6srJ6h49eoVBgwYAEIImjRpgitXruDs2bMGGyIraLp9+3YAMHrx9OzZE3Z2dryf+cGDB/Dx8YGnpye9CRQXF1OD6V69esHa2homJibo1q0bDh069FETQH8VPoYvwDAMOnfuLEl4lUXfvn1Rrlw5yVN5gN6LjBBDkVohsJmxTCaTFLQAvxHLCTGUIOEDwzDYtGkTKlSoIHmT1Wq1OHz4sOQA8WN4QWLn0I0bN3h1586dOwcnJyeO9AkAhIeHgxCCpk2bChrifipI+T7u3btnlDvEMAyePXuGzZs3Y8SIEfDz84OTk5NRblJ+fj4mT57MCcIsLS0RHByMmTNn4uTJk0bbhgzDYMWKFdDpdFi/fj2cnJzg6OiIdevWSQo6+/XrB09PT6OvrdVqOYnMjh07QAiRtHe0a9dOkNPEgjUZXrBggeB3zTAMHB0dMWXKFNHrOSwsDPXr1xf97UaNGoUKFSqIfsZhw4ZBJpMJJoIpKSlU/oPPmowNyjIzM6FUKo1qBpae7lWr1XB3dxc0gP8z8W9Q9V+ATqfDjRs3jP7bgwcPEBoaCpVKZdRGZf369dQslI+kx04SihEcU1NTqV2NlBIz+xyWUyZFr6g0MjMzcfjwYc7fGIbBsWPH0LVrV6rwzZL2S+PChQto2LAhZDIZ/P39YWlpaVDRGTp0KCwtLXmFJgcMGIDmzZtz/vb+/Xvs3bsXv/zyC8qVK4d69epRKYj09OnDrJgAACAASURBVHTKHyFEP2myYMGCv51w4uXLl9GhQwfJhqHff/89CNFrXkkZm2cHAMzMzCQ7vrPniEqlkmxTU3oiVEq7kCWWs8+RUt5///49unXrBkLEDa7Z9/jxxx/x+eefC04CssjNzcXixYt5JwFZaDQa2jbjq36np6dj4MCBMDU1NVot2LFjByUTl5baeP/+PZ1ELleuHKpXr44OHTp8svbHp0BOTo5BUHXv3j20adMG5cuX5xjLt23bVlQ9f8aMGbCzs0OTJk0gk8kwbNgwSbYzwG92XlJcAAA9lcTU1FTS2rlz5woaurMoLi6Gqakp1q5dK7q2VatWiIyMFN0rBg8eLEk0c+rUqZKqy/PmzYObm5vouqVLl8LKykr0N1u1ahVMTU1F/fzWrFkjKuD7Z+LfoOovAN/JeuvWLUycOBEeHh4GDvJZWVkYN24cna4pO3bKMAzmzp1LNwqZTGY0Uzt69ChnNJpvAqioqAihoaFUhqBTp06ix7R+/Xo6jqtQKASNWllotVocPHgQPXr0gJWVldEWGMMwHGFG9hEdHc25sHQ6HRYsWED/3d7ennOjUKvVaNSoEapUqYL379/TqhWL+vXrG9iNREZGUhJpWFgYrfqcOnWKo2xNiF4K42OqNX8EixcvxowZM3Djxg1JgRIr61C/fn1s375dMAsuKSmhAxk2NjZYsmSJ4Hq2ZcCed0IEdRYsabZChQoYNmyYJANmVm3cyclJEll91qxZdOJSJpOJcsYOHjwINzc3eixC5HFWRsDPz49yeIS0rZ48eYKxY8fCxsYGHh4evK2drKwsOjUsk8mM8npyc3MxdepUem2WFUJkGIYSf9lWWOm9YOXKlWjQoAE9Z1esWEG/o4iIiE9O3P1vgaUJvHjxQpDUzn4/bOIkNijCQqvVgmEYNGnSBI0bN5ZcnUxKSkK5cuUkrd2/fz8IIZImBgMCAiQlCmPGjBEc9mHxzTffwNfXV3TdlClT8Pnnn4uuGzVqlCSF9l69ehkYhRtDy5Yt8cUXXwiu0Wq18PX1Najk/pX4N6j6g9Bqtbh16xZWr16NqKgohIWFcbgZr169wsKFC6kcACHEYBJJo9EgJiaGZp3GqlQMw+Dt27eoXr065HK5oILtvHnzYG1tjaCgIDx8+JB33YcPH2Bubo62bdvythJZ5OXlISkpiVbJwsLCBNe/ePECkyZNQoUKFehxC1W2GIZBVlYW7ty5gyNHjmDDhg2YM2cOh7xbVFSEYcOGUbdzdhMsbQuSnp4OZ2dnVKxYEVWqVKEbnVarhbm5OYfke+zYMfo6lStXphWooqIi7Nq1C8ePH8etW7fw+vXrP2yWzDAMVq5cidmzZ+PgwYOik5RFRUW0hebt7Y3o6GgcP36c93Pk5ORwBgIqVaokKAtQWh26YcOGvME3C5aPVq1aNaSlpYneQCZMmIABAwZI8gQD9L/Pu3fvQIheh6wsh4sPwcHBqFy5sqiha1FREZYtW0bbQkJ7i1arxejRozkBddkkiMWrV6/wxRdfcAjYxlqrWq0WU6ZMoUkJIcSon2BRUREiIyPp65mZmRlUE3U6HR49egRvb28QQtCoUSPOv2s0Gnz//fdQKBTIzc1FRkYGmjRpQt+3SpUqorZB/xTs3LmT89t5eHhIbiN/9dVX1I9VaPKtLObPny9ZZuT58+cgRJr119ixY1GrVi3RdWvXroWZmZnonrZixQpYW1uLvt6kSZMkTXB37txZ1BcTADw9PQUlON68eYP09HRRW7Ldu3dTzTY+GYe/Av8GVWVQVFSEU6dOYePGjYiPj8fgwYMREhKCFi1acKoieXl5CA8P55SZPTw8DEh4WVlZdMKQ3QCNZbxsi8XU1JRXHC05ORkymQwHDhzAnDlzjK7R6XSoXLkyhg0bhtzcXMHs/dtvv4WFhQWysrIERUUB/QkfGRkJW1tbNGrUiDN5ZQxFRUWc1kxQUNCfJr7GMAwePnyItWvXon///ggKCqI3nj179nBGuk+cOIGUlBRs3boVhBCcP38eBQUFKCws5HgpNm3aFAcPHvzoz3Hx4kVcv34dT548QWZmpuBGVVhYSPk/bEDYrl07XpG7jIwMSq4lhKBmzZq8PAPgN9FHQvQSH0KfJT8/H+XKlYOzszO8vLxETUmnTZtGDUyl+B4yDEONTKWW3Vn7FaltKrbtcuDAAUn6WhMmTICpqSnq1asnOnZ+/PhxWilq3bq1YBAZHx9Pv/d+/frxrmMlRNi9go/PtXz5clpZ4tNkW7x4MRQKBbZs2WIwvQfox86dnZ3p/7OWQWxCJNV/8n8ZJ0+ehKenJ8LDw7Fq1SqkpqZ+FBeO1Shs2LChqC8ni4sXLyIuLg7VqlXD27dvBStoarUaJSUlsLGxwfTp0wWNzNVqNbZv3w65XI5Vq1bxVtQLCgrodbNlyxYDOgaL9+/fY8+ePfR65HMVuHv3LmJjY1GrVi08f/7c6PHk5+dj3759qFu3LsaNG8crD3HgwAEsXrwYhBAcOXKEty0+cuRItG3bFtbW1sjPz+fd53x9feHg4ICgoCDR/e3PxL9BVRkwDMPhJBFCUKNGDYOSeUFBAaKjo+kad3d3Ax0pnU6HefPmwcTEBHZ2drC3tzdaet+1axcUCgViYmIwc+ZMo1yqrKwsODk5UQVpvgCFnfrhs8Eo/dmqVKkiqVwMgGZke/bswY0bNwRbITqdDrNmzYJcLkeFChXg4OAgyt358OEDrl+/jhcvXqCgoOCjBQDZC1CtVmP8+PGUn9W7d29aQmfbUdevX8ekSZMgl8vRo0ePj8oyy+L69euUbM8+LCwseNtXarUaYWFhdK2LiwsePHjA+/qXLl2iN2IrKyusXLmS97thGIZ6OpqZmSE0NFSQ8L1kyRKkpaXBx8cHdevWFSRtsxvX8OHD4eDgIGlaraioCObm5oLq8qXBjl1LnYTr0qUL/Pz8JJ0rP/zwAwghWLduHa5cuSJ4rAcPHoSZmRm6deuGLl268AZ5DMNQzZ/Q0FA4OzvztmlOnTpFOXteXl68gwJr1qwBIQTTpk3Dl19+afT1Xrx4ASsrK3z99dcAjOtzTZkyBdWrV+f8rVu3bti9ezesrKwQFhZGb5w//PADNm7ciNWrV2Pp0qVISEiQHCT8f4aUiqvQc9lrWKlUSvbzGz58OMzNzWFubo6qVasKJppqtRq1atWi17+QBMLhw4c5lWq+5OvmzZvw8PCg6/gSup07d9KOgImJCe8eNXToUFhbW8PMzIzTGSgNhmHg5OQEmUwGZ2dnXs24I0eOcPbpixcvGl0XERFBP1fDhg2NBl8ajYYjVCvVKuvPwL9BVSncuXMHQ4YM4Shjt2/fnsOP0Gq1WL9+PcqXLw8LCws0bNgQrq6uBu2Kt2/fIiQkBAqFAnPmzMGOHTuM6tCkpKRApVJh0KBBRselWYwYMQIODg6ivfXu3btL6lsfPnwYhBBewnxpXLp0CSqVim7iQsjMzERoaCgUCgUSEhJw5swZjso8H4qLi2m7i63Yubu7o2vXrkZboWI4ceIEPDw8YGpqintTp+IpIdARgrcWFnibmIjx48cLjvbyfUZjyMvL41TlFAoFoqKicOrUKaObZnFxMbp27UrbdCYmJhg8eDBvtXDbtm0YPHgwDRaDg4N5qz/Pnj1DRkYGzp49S2/ifK1G9ntMTU2Fo6MjQkJCBINlQK+95erqKmgyXBodOnQQ1LMqjQ0bNkCpVIpyo4DfVMPL8uaM4ebNm7CwsOCtAJfG7t27oVQq0a9fP2g0Gt4Ml51qlcvlWLRoEbRaLW+gtHHjRiiVSnTu3Bn5+flISUkxum7Dhg2QyWSYNGkSGIbhnVILCwuDj4+PYJVj6NChBiRjltB75swZWFlZoUOHDti/fz+nYsvysEq31I2huLgY58+f/6QVgL8T2CDdzMzsoyrc7OQfIUSSUXJpJwgxLmPbtm3pWqHqcPfu3ek6vv1fo9HQIM3a2po3+GMV/vna2SxYzTKZTMYr0XD58mX6WhEREbyvxVr+WFhY8NIEUlNT6WuNGzeO97X+CvzjgyqdTod9+/ahTZs29CaXmJiI8PBwjBkzhkPgPXz4MGrVqgW5XI5BgwYhIyMDP/30k0G/9sSJE3B3d4eHhwctwxoLls6ePQsLCwv07NlTkCh85coVyOVyju6GMbx+/RomJiaSJkA6duwoqswM6IMkLy8vtGzZUrQHf+nSJXh7e8PNzY1ydPgCIK1Wixs3bmDFihXo378/fH19ORt7uXLlsGjRIqOBzK1bt9C2bVskJSXxBiIajQYfPnzAeHd3qBUK/SnMPiwskLdyJdavX48BAwbwBhIajQanT5/G119/jdq1axsYYJcGS+S3sLBAcHAwbUF6eXlh0qRJBuVzjUaDyMhIlJSUYOXKlShfvjxMTU0xduxYo9OF7FDA2bNn4evrC2tra6xevVowwLx//z4qVqyIihUrinKUzp8/D3NzcwwcOFA0aGVvKMa+D41Gw6mOLV++HObm5pICpblz56J8+fJYunSp6NqIiAj4+vqKjqVnZmaiUqVKaNKkiWjLa+vWrVAoFBg8eLBgBeHdu3do2rQprKyseLlWgP6cYE3SY2JiBD/rli1bIJfLMX78eMHvf/v27SDE0NuyLLp164auXbvy/jsbWIWGhiI7OxtxcXF0YpB9VK1aFSNHjsRPP/2EZ8+eYd++fYiNjUWzZs1gZmYGT09PvHnzRvC4Hj58iJkzZ0qa5gQgOsn1d0F0dDQsLS0F9wRjYHmDhBBJ1UC1Wk0pALt37xZce/PmTcoPE9Kiu337Nq3kCzkCsMNDQhOABQUFtJImpPs1ZswYECI8EPXo0SMaLAlpxrHBo1A7lO1O9OrV65N5/rH4xwdVwcHBlPPz888/0w2i7Bg42+tt3769IMnz/v37kMvl6Nixo+BIrkajQeXKlREaGipaHRg4cCAaNWpkcHJotVpO5WrLli2ws7Pj6BYxDGOQzefm5sLe3p4zhg3oA8yyE1FxcXFwd3cXJVa/e/cOlpaWaNWqleja+fPnUy6ahYUFWrRogdjYWEybNg1KpRIxMTH48OEDnj9/jvbt26NDhw4ICwtDp06d0KVLF3Tt2pVTTaxXrx4CAgIQHByMLl26oHr16mjTpg1iY2ORoVJxA6r/PJ7957nVq1fH8OHDERUVhYiICPTo0QP169eHl5cXbG1t6XvI5XI0bNgQjRs3RmBgIFq0aIGgoCC0adOGk+3duXOHjlZfv34dMTExdOKsrHdj6d+zqKgIiYmJcHJygpWVlaBsQ2FhIcaNGweZTCZa1n79+jXq16+PqlWrigYgP/30E+RyuegNm2EYtGvXzuiwAsMw6N27Nz2258+fQ6VSSWqxTp48Gd7e3qIG23l5eXBwcDC6qZatasbFxcHNzU10UvX58+dQKpUYPXq0aFDZrl07eHp6inK/Nm3aBIVCIdr+ZE2qxd6bYRg0aNBAUpWwQ4cOGDp0qOCas2fPwtraGnPnzgWglyRo0aIFkpKSkJKSgvHjx9MBG7lcTi1EjD1sbW3h5eUFPz8/BAYGYv78+ahbty6tTkyePBkTJ07EqFGj8OWXX6J3797o3LkznQY+c+YMOnXqhLlz56KkpAQPHz7EgQMHsGTJEkRHRxvYTpW9PgoKCvDzzz/j66+/Fv39GIbBzp07RS2BAH1FztiUaHBwsMHk5rt37yTdwGvWrAlfX19Jwy/FxcV00lOIT8l6LkZFRcHMzEzwNbOzs9G9e3dYWloKfldPnjyBQqEQVV4PCQmBjY2NYNKydu1awXYjoOdxEUIwY8YMvHr1ivezNW3aFD179gTDMHj58qXR9/3uu+/QqlUr2hosKCj4ZFOv//ig6vDhw5KIsa9fvxa92bA4fvy4pBbVw4cPeUv47969o1mEsTZEQUEBunTpYsBVKksCnDp1Kr788kuD18/Ly+MEcxqNBhEREQaBllar5W2Tpaenc3rtp0+fliRod/z4cSQlJeHq1aucjeX8+fMGk3wRERHo27cvevfujfDwcPTo0QPdunWjJGJCCHx9fVGzZk24uLjQDMzCwgImJibQGQmo8J9WICH68f2mTZsiKCgI7dq1Q+fOndGlSxeEhISgT58+NLBSKBQYPXo0Ro0aheHDh2PIkCGIiorCgAEDRKtArFr88ePHRb+bvLw8ydNHZ8+elZTZ5+fnSzIeBsCpugrxsd6+fctLJK1UqRJnekeK8TLw25BF1apVRddmZ2cbbKZHjx41ONc1Go0kiyVAXxGWct0+fvxYUttLq9VK5utJlc7Izc0V9YFjISbMyzAMbt++zfkeGYYxCExfv36N77//Hvv378fJkycxYMAAWFlZoVGjRjh06BC2bduG5cuXY/bs2QgNDTUwoydEP3Ho5+eHxo0bo3Xr1ggLC0OPHj2wcOFC6k5ACIGjoyOdMCaEwM7ODvXr18fs2bMB6M+RFStWIDAwEE+fPsXSpUvRrl07Wi2pW7euYPXl1q1btBUlRbZj9OjRsLW15VxnOp3O6D2jZcuWiIqKEn1NVphViEvJIjAwEFFRUShfvrxgkr5y5UrY2NjgxYsXgtfPmzdvQAjB2rVrRSdz/f394ePjwys8y6J9+/aiU4IXL16kUj98waxGo4GXlxdyc3NhY2PDq/jepUsXeg20b98eXbp0MVizatUqDm1n3rx5sLOzk7wX/RH844Oq/wZevXolGHzs3LkTTZs25c16Xr9+jQYNGoiOz06bNg2EGJoLl4VaraYTimJTgCy2b9+OihUrSlbzfvr0qejEoFRcu3YNbdq0waJFi3D48GGEh4fTYIp9NGzYEPPnz0da2dbffx55Dg6IiIhAgwYNBLkpJSUlOHLkCEaMGCEqO/C/hqSkJMyZM0e0kloWTZs2BSHSFc5ZsERVmUz20XYSmzdvhlKpFLXeKAt2kvSfAoZhsHXrVowcOfIPvU5+fj62bt3KW21JT0/Hxo0bERkZCQ8PDwNe5dOnT9GpUycOmZgQ/XT05s2bceHCBYMgIjU1lWqZsc+ztLREp06dsHr1aqPDMBkZGdi9ezc+fPiAUaNGQaFQwM/PT5LK/ObNm0EIEQ0qAH0AbW1tLepgAfxm4C4lSZ8wYQJ8fX2xYcMGwSCZ5RiePXtWdJ8tX748Zs2aJXpcXbp0QdOmTUXFe6Ojow0cOcqioKAAgwYNgkKhEKzQ7d+/H+fOnQMhhLcjxPLFXrx4AblcblAIALhdgKysLNjb20viBP8Z+GRBFSHEgxByghByjxByhxASLfac/29BFcMwgkTy58+fY/jw4byE2Xfv3tEsho+UePfuXapPI0R0nDlzJt2ohLLl/Px82gL19vbmXcciJyeHTl+UFSU0hg8fPiAmJgaWlpai5NfSYBiGN2ArvbkwDIM3b97g3Llz2Lx5M2bOnIkBAwagU6dOaNu2LXoRgmKlkhNQaU1NcXPiROh0OsHhgP81nDt3TnLVBtD/1jY2NqhRo4Yk81kWPXv2pNXCj5kiKy09IjWAZRgG8+bNo8+TenwMw+Cnn35C3bp1JVUQWQiNcP+dYKzK+OTJEyrpIUWC4s8CwzC8FdWSkhI8ePAAP/30E+bNm4cRI0YYBNRarRYLFy7kVKcJ0fsaCnH1MjMzUaNGDQQEBMDBwQEODg5YuXKlpGo6O9wgNfi8ffs2CCGS/D1Zs18p0iSsT6CYLyXDMHB3d8e0adNEX7NLly7o1KmTaGV09OjR8Pf3F/2+pk6dimrVqom+7/Tp01GxYkXRdfHx8XB1dRX9fNOmTYODg4OoH++kSZNgZ2cnWMH8M/Epgyo3Qkjd//y3NSHkISGkutBz/i5BlVarFcxmHz58iGnTpqFevXpGo/rHjx8jKioKSqUStra2RvkyO3fupIaTlpaWRkv8J06cgJ2dHd1Ujh07ZvTzzJ49m64xMTHh3XiysrI4ooB9+/blPUZA395jAzqxHr9arca3335LbXDE+B0sHjx4gOnTp6N58+aSDW5Lg2EYrF69mvI/PDw8cHLwYDr9l6FS4emsWfjss89QuXJlJCQkSLaj+LuBYZiPGgt///49KlSogNatW2Pbtm2SzMFZeRHWukNK62ncuHH0OTVq1MDbt29Fn5OWlkbJ/RYWFrxmqqWh1Wqpkjw7ZCIGNphiDXyFyNwsiouL8fPPP6NXr16CE04s1Go1jh49KsgfYZGTk4O9e/eKVuZev36N5ORkwapBamoq4uPjERgYyGnZazQaLFiwgPIQAwMDRT/X3wnHjx/H7NmzMWvWLMTHx2PGjBmYPn06Fi9ezFvNz8vLQ8OGDem50bNnT0k31SNHjiA7OxuVK1dG48aNJet5rVu3DqamppLXV6pUSZIvZm5uLhQKBb7//nvRtf3795c0fDR79mxJQcuCBQtEK1CAdEX1gQMHolWrVqLrWrZsid69ewuu0Wq18PDwEOV7vXr1ChYWFry6jn8F/mvtP0LIT4SQYKE1/62gSqvV4urVq0hISEBYWBhcXFwMpjwyMjKQmJhI7SAI0YuplX2dmJgYDkfAWB//yZMn1I9MKAC5ffs2WrZsSQMvYzdFtlrWoEEDWFhYoHbt2rzHmZeXRwUj5XK5YOuksLAQs2fPphNCQr9Nfn4+dYgnRD92LBQgPX/+nENslUKWzsrKwuHDhzFjxgx07dqVBniXLl1C8+bN6XvPnTsXhw4dosd5+/Zt6HQ6XLp0if4uZmZm6N+/v6i216cAwzAfpZ2zfft2eHp6onfv3li1ahUePHgg+HxWC4oQAgcHB4wdO5ZX2A/Qt3HYVoutrS1mzJghSsZduHAh/P39IZPJ8OjRI0nHU1RUhJycHBBCsGvXLkkZf2FhIY4dO0ZV0lkNNz68fv2ak0SYmpry8gW1Wi2OHTuGqKgomhjUqlWLt1X84sULrFy5Ep06dYKVlRWqVq1q9CbO8qxmzpyJwMBAmJiYGK1Ka7VanD9/HnFxcdTyx5jdT1paGhISEjj7UNmJxO3bt3Osq4xJu/wvQa1Wo3Xr1vR45XK5pAEarVYLT09P1KtXDy4uLpJ8MVkMHTrUQNleCM2bN5esEdioUSPKFRS6ljZt2gQTExPk5uYKrmO1DMWoHtu2bYNMJhNt/0+aNEmSc0KLFi0EOWesjIiYh+GLFy9oBY8vyWC5dyNGjICbm9sn4VKx+K8EVYQQb0LIC0KIjZF/G0wIuUwIuezp6fnXfwNl8PPPP3OIlnK53Kiw29GjRzlia3ytsGvXrtGydY0aNYy2DjQaDdq0aQMXFxcolUreXvLFixchl8sxe/ZsQR0PVoPq6NGjgsrRDMMgODgYtWrVwqpVq0R759OmTYOJiQmqV6+OFStWCK5l1d8JMbTlKfsZNmzYwJnmi4+PN7pWq9Vi8uTJ+Oyzz+halUrF0QfKzc1FzZo14ebmBnNzc1qFUqvVMDEx4fAI2HF3QgiaN29OiY3FxcVITEzEt99+iy1btuDYsWO4c+cOMjMzf7dYoFqtlvzc5ORk1KhRA+3bt8fIkSORkJCA3bt381otsMKs7MPd3V3SeDMhBP7+/qKTcREREbC1tYVcLsf+/ftFP/+jR4+oM3xMTIzoehb3798XrYCWRXR0NOzt7bFkyRJJHK6EhAR67JMnT+Zd9/79ewwYMICutba25q1W79+/n+Os4OjoaLTV/f79e05QR4hxQUedTmcgQNymTRuDvYNhGPzwww+cqbxJkyahpKQE8+bNQ2xsLJYsWYKkpCTY2dnBxsYGVapU+eQj5p8SGo0GvXr1QpMmTRAbG4uDBw/y+jCWxaFDh+j32LJlS0m8K9a+q06dOpImRwH9XtCnTx+0a9eOV8uOBcMwiI2NRcWKFREfHy+oOffq1SsQop+e4zP/ZluxhBAkJSXxVsDUajXOnDlDr0e+Ya6XL18iNjYWNWvWxIcPH4x2Rd68eYMrV67A09MTs2bN4g3SVq1aRVv5z5494/0umzRpggYNGqBJkyZG/x3QdzyUSiVMTEwwc+bMj+Zo/hF88qCKEGJFCLlCCPlCbO1/o1J16tQpjl9daa84FoWFhRg2bBhtr9WtW9foyXT+/HmUK1cOAQEBqFevHq+mSXR0NMzMzHDhwgVe7Y2SkhLUrl0bzZo1g06n4+Ub6XQ61K1bFyEhIaLH+vPPP4MQvd6QWIWEFXlbsmQJzpw5I7hRbd68mVpsdOzYUZBnlpmZSYUwCdErU/NtMqwWVOnWZumsW6vVokOHDnB0dMSTJ08MRtlr1arFEYIrLi5GnTp1qPjhiBEj6AX/8uVLjhgpIXrz4dIeXAUFBdizZw+2b9+OzZs3Izk5GWvWrMHy5csNAoNbt26hVq1asLS0hLOzMypVqoSaNWuiT58+Rs+d/fv3w9LSklPtE9LEmTNnDl3r4+MjWOkpKipCjRo1qGH06NGjBbPRmzdvYseOHYiIiIClpaVkw9np06fD3t5ecpZ4/PhxEEIkC0qy+m2rVq0CwzCi7cyFCxeCEL0YYMWKFQWnG0+fPg0PDw9azfzxxx+NrmOJ305OTjTI59NkSk9PR6dOnejv1LVrV6Pnen5+PsaNG0c1hz7//HOjnKScnBz06dOHtlpLa8nl5OSgQ4cOnPPX1tZWkuDk/2ewFlS/B6W7BYMHD5Y0hMMwDJRKJb3upLT0BgwYAE9PT5iamooaFi9duhQ+Pj70c/EFB2/evEHDhg1pVXn69OlG1719+xYNGzakHQe+dceOHcPnn39O9x4+qklUVBRcXV1hZWWFatWqGT2f2eqTTCZDlSpVeFtxrHSEXC6Hv78/b6WQVXq3tLTEqFGjjN63tmzZwjnvpe5ZfwY+aVBFCFESQg4TQsZJWf8pg6qXL1/SDSo4OBguLi5Gf/zbt2+jRo0asLa2xpYtWzBw4ECj5NiUlBRYWloiJCQE+fn5vIRdtspQtnVYFvPmzYNKpRJs1QC/CTOKZftqtRqVK1cW6Qw4rAAAIABJREFUNLhkkZqaCjs7O/Tt21c0E2P9p8aMGUNNkvlw8uRJVKhQAa6urkhJSUHbtm15eQ8XL15Es2bNQAhB7dq1oVAoDG50MTExgje1fv36oWXLlpy/3bx5E/v378e2bdtgbm6O5s2bUw6QWq1GVFQUvTgtLS0xaNAgjm7NyZMnDYRLnZycjI4NFxYWYvjw4Zy1Xbt2xdmzZ41+r1evXuVUQ6tWrYqVK1fyKm2PHz8e5cuXR0BAAGQyGQYNGsTLZ7px4wbWr1+PTZs2wdzcHE2bNhWsWDEMg+LiYgQFBcHFxUWSxk9GRoZkMVpAH4wrFApotVrR80yr1aJBgwYICAgQrbwwDIOpU6eCEIL58+cDMNShY6HRaBAXFwe5XI7Q0FDs27cPY8aMMbr2xYsXNHD58ssvUbduXaPXsVarxZIlS2BtbQ0vLy9ERESgcePGRn/HY8eOoVKlSrCxscGCBQvg7Oxs9Ls+d+4cKlasCEdHR+zduxdhYWEGVYyCggJOgqhUKtG7d2+cOXPmd1dc/1fx9u1bKJVKODo6fvSUMqtDZ29vL4m3dfr0afqbiO2/xcXFnP1FiDTOekaS/9Ae+FB6iIlPQ41hGFSvXp2u47OO2rVrFycQ5QMbGJqZmfHuSUuWLKGvtWDBAqNrdDodTXTq16/PyxeOiYmhifAfsSH7PfhkQRUhREYI2UgI+U7qcz5FUFVSUoKFCxfCysoKnp6e2LlzJxiGwffff28wZbZy5UqYm5vD39+fBlLGspnt27dDqVQiPDxckLh48uRJmJiYCLYhAH07xczMjDerKH0sVapUQXh4uOA6QJ8VmJqait4c8/PzUbNmTdSuXVu04sB6GI4YMUJw0y4pKcHkyZMhk8nQoUMHepEZy8afPn2K3r17gxC9TMKZM2dw4cIFKrDJYvXq1SCEYOPGjfRvZTegzp07w87OzuCzsf9/9epVeHp6wsvLixMEr1ixAkqlEhMnTqQbXP369bFmzRrk5+ejqKgIcXFxNGNlH3Xr1sWkSZNw6tQpTiVo9+7dKFeuHFxcXKhvoJeXF77++msDvaK0tDTUqlULy5YtQ2RkJN344+LiDAYe2EqeTqfDhg0b4OLiAjs7OyxZssRo25kNRq5fv45KlSrB1dVVVPk6OzsbNWrUQLVq1STdQHr27Im6detKuomzxNjU1FReQ1gWSUlJUCgUojZLOp0Oo0ePhkwmE21ZP3v2DE2aNIGpqSkWL14MhmFQVFRkcA3rdDokJSXB2toaPj4+NIs3Vh28du0a/P39oVAoMGHCBOTn5+PGjRsG1dusrCx8+eWXIERveMwOIJQVntRqtYiPj4dCoUBwcDANhMtWjnU6HXr27Alra2vMnz8f5ubmmD59Ovz8/ECInh+2YsUKo9U6KYMF/2tISEhA27ZtRVvhxlCrVi0QIt1fjmEYKqo6Y8YM0fUsnUNM1FOn01FyvpClTX5+Pg0E+SqwALBs2TJKJ+BDbm4u3feE3AVYv1OhwIv1vfz88895K+eZmZm0xS5kxdOyZUtYW1vj3LlzvGv+KnzKoKrpf242Nwkh1//zaC/0nL86qGIYBk2aNIFKpcLkyZMFg4a5c+eCEIKJEycKtkquXLlCJ6WEsori4mJ4enqic+fOopl2ZGQkPvvsM15iOos9e/bAxMTEwNgZ4AZ/arUazs7OvMFc6decOnUq7O3tRUfVnz17BpVKJWrxAQC9e/eGqakpli5dKnizPXHiBExNTVGpUiVs376dri37nPT0dKhUKkyaNIn+7dChQwYZCruRlCZolg023rx5g8DAQFhaWnLKz2fOnKF9/hMnTqBnz55QKpWwsbGhTu937txBkyZNkJiYiN27d2Po0KF0WtLa2hpTp06lr5eWlkaJx1euXKFVJnZTKV3mz8nJoYKMGRkZmDRpEuzt7WFqaooffviB9/vLyclBTEwMTExMEBQUxLsO0EtftG/fHiYmJqIyCC9evIC7u7skZW82Kxfj6wH6qcH69eujf//+2LBhA+86tVoNV1dXQa4ei0WLFkGhUIhWgt+9ewd7e3tUq1ZNdGAhMjKSBklCe8ahQ4egUCjQsGFDweCvoKAAHh4ecHJywrZt2wSviSFDhkCpVGLhwoWC11lycjJMTEyoz+DVq1dpoHbu3Dn069cPKpUK1tbWSElJQUlJCbZt24aAgAAsW7YMBQUFuH//PlJSUrBmzRrExcVxOGs5OTmcwRaGYfD48WNs3brVoMKfn5/PCcAZhsHdu3fx3XffiapcMwyDU6dO0WtMCCUlJaJWLiwePXrEucZSUlKMfp8Mw4hOBwcFBcHb21vSNC2LlStXghDxoQFWWqZr165wcHAQXJuXl4dr165BLpcLqviXlJTQqpYQbywvLw+2trZo166d4PsGBwfDwsJCsO06YcIEEEJ4eaHAb7pgp0+f5m293rt3D3K5nCYymZmZBr8bwzCoUKECJzFTq9WfLFn45Jyqj3l8ikrVvn37JIn/vXr1SpD8y4JhGOzfv19SZn7jxg1eXsfjx49p8FZQUGD0Mz569IiTfTMMY7Q9ePr0aapIzOLZs2dG33vPnj2cakVRUZHgTbZ0Znfs2DFJJNirV69KUvguKipCUlKSpM3q119/pe997do1WFlZcbg5rOdW2emTr776yuBiKy4uljQh9ebNG8ydO5dTMdLpdJwAlGEY3L9/H4sWLTKwCyp7juh0Opw6dUoSLyM/Px9JSUmC2RqLu3fvSjJ91el02LFjh6Rz986dO5xqC1+JnWEYycbVOp0OV69ehUKhEM3gHz9+LMiJYlFQUMDhwQnhxx9/lMT/unjxolHrkrIoKirC+vXrJeki7dixQ9QsHdDTD6TwQ7Rarai22Nu3bxEXF4fJkyfTgJ5NAEpXXM3NzVG1alXMnj0bxcXFWLx4MRwdHdGgQQNMnToVISEhcHBwoHwYPz8/unft378f3t7e1L5p4MCBtCVpY2PDqW68efMGO3fuBKCfCJ45cyZtG/Xs2VPwWA4dOoRq1apBpVKJJoCpqalwd3eXpLP366+/wtTUVPAeER4eji1btmDAgAGSJDpSU1NhZmYGW1tb0U5Bx44d8eWXX+L58+f47LPPeNexFmXFxcUYO3YsrwbW+/fvYWlpiYMHD6JatWqCbhCtW7dGnTp1MHHiRMHP2L59e9ja2gquSU5ORpMmTWBubm6g2M9i165diIyMRHFxMezt7Y2S6E+dOsVpDbZr1w79+/fnrHn16pVBsBgfH4/y5ctL8iD9o/jHB1V/JqSMw1+9elWwtcEwDJYvX25Uer80Dh48CDs7O1Hhwk2bNkGlUolKFOh0OsTFxdELUwwfPnxA//79JY9nZ2RkSMo2WUghiWo0GoMKCFtFsbCw4PwW7Aiura0t58YZHx8Pb29vSVZF/4Ifs2bNQt++ff+wIW5kZCTlKP1R/MsbEsbdu3fRtWtXeHh4cIKokJAQ7Nq1C1euXMG7d+/AMAx0Oh22bdvGkWYgRK8N1rNnTyQkJHAqDBkZGejevTtdJ5PJIJfLERAQgG+++QZnz57lVInPnDmD8uXLIyQkBK1bt4ZMJkO5cuUwatQoo/zQI0eO4P3790hNTaWtpY4dOxqt0pfGkydP4OHhgTp16khuX/v5+QmeSxs2bIBOp0OXLl3QvXt30dfUaDQwMzNDly5dRM/R+Ph4ODk5QavVCnK9njx5AkIIDh06hNzcXEHx3IoVK2LKlCnYs2ePYBWue/fuVNNOCCNHjoSrq6vgmgsXLmDixIlQKpW8ScaFCxfw5s0bKvlg7Ld8+/Yt/c5u3bolqdr35MkTmJmZYdasWYLr/iz8G1RJQE5OjmCEq9FosGXLFoNqUGm8fPkSkZGRgpoZ6enp1IHbmIwDoL9RzJkzBzKZDA4ODrzqzgzDUJdxPk0rFtnZ2XRj6tOnD+86Fnv37oWbmxu8vb1Fs/D8/HxMnz4dtra2ohseoJ+Y7NSpk2A2rtPpsHXrVlSrVo1TRWP5PoQQA90U1rKHEMJpLbEXppWV1Z9mo/NPRHp6OuRyOby8vH63nc+jR48oCbV169a/+7O8efMGU6dOlSS++S/0yMrKwi+//IJly5ZRWQYWWq0W3333HYKDg+Hn5wd3d3eYmJhAoVAYJHU6nQ7Lli0zMF/u2LGj0aEVhmGQkJDAsatp3749duzYwbtnnTt3DpaWlujfvz9UKhWqVq2KQ4cO8R5bYWEhGIbB8+fP4e3tjZo1a0qqCqalpUGhUIgqn7M3+TZt2khqiQN67amyBuvGwCq1S7mmateuLUlkOTIyEoGBgaJFgAkTJqBmzZqinYKpU6eK+nWWlJQgNjZWsNrGIjo6WpJCe2RkJKpWrSoqSREaGoqqVat+VHv2j+DfoIoHGo0G+/fvR3h4OCIiIoyefLm5uUhMTISnpyesra2NClwWFBRg+vTpVIeJz8STLd+yxEBjvK28vDxO9seXzavVavTt25eu69SpE+9x3rt3j5KlhYI5QF+d6tevH13LTlIZg1arxbp16+j0mpjo28mTJ6lgHx+ZkWEY7Nmzhypvl97AiouLOYJ/ZY85NDSUKtqX5hcxDEOzb5lMhtmzZ/+jKxxFRUWS2mrGwE7CyeVyTJky5aM9A4cMGUKlCapUqfLR75+amoqhQ4fCzMwMLVq0+Ef/jn81GIbBhw8fDMbeHz16hK1bt2LDhg1YtWoVli5dim+//Rbz5s0zqGJmZ2dzrInYR2xsLO9vd/PmTbpPKhQKLFy4ULSyPmvWLOzZswc+Pj6oXr26UUcLY4iNjYWTk5PkllHjxo0l29qMHDkS9evXF13HMAwqV64sSe/tm2++gZubmygFY926dVCpVKLHtWLFClhZWYleR1OmTEH16tVFP1/Xrl3RuXNnwTUMw6BixYr46quvBNelp6dDqVTy6jCyyf7u3btBiDSfxT8L/wZVpcCShseMGUMtYypWrGh0M5g4cSJsbW3pRrB06VKD13v58iW1wyCEoEKFCkZP5Js3byIoKIiui4uLM/r5rl+/jl69etF1pUUvSyMtLQ3Tp0+n64Smnn766SeOPQhfFU2n02HatGn0mM3MzHizvby8PLRr146+v0ql4u2jX7t2jSOIWK5cOaOv++rVK846CwsLThBbXFyMp0+fwsrKCq6urhw9KkBPRI2KikKrVq3w7t07zsZTWgwzMTFRUhb7vwqGYTBo0CA0atQIsbGxOHz4sGTT7D179tDvsWHDhh+9keXn56N3795o06YNEhMTJQdF9+7dQ7du3ajYrFKpFJUeYcESrHfu3Ck6cfgv/lwcO3YMO3bswLFjx3Dt2jU8f/4ceXl5vL97amoq1Shig/evv/5a8Dz58OEDbG1tIZPJULVqVUkaaI8fP0ZhYSEcHBw4wyViqF27tij/iMX69euhUqkkUS1iYmLg4+ND27B8uH79OgghOHfunOC6R48egRCCU6dOCb4vO3XIJ6fAYvLkyZIU1WvWrCmok8YwDK3M8RHodTod7ty5g4kTJ8LZ2Zk3MDx8+DC2bdsGDw8P9OrVS/Sz/Zn4N6gqhfz8fKpvwW7OFy9eNFjHMAwd/2RvIHxtsNKijHzBTUlJCZo1awY3NzeYmJjwBiD5+fmoXLkyWrRoAR8fH95yJsMwaNmyJVXlFiIzX7hwAQqFAt27dxclWaakpEChUMDBwUGU8/Ljjz/S446OjuZdxzAMJ1AUCgATExMFA8+EhARYWFggLS3N6IbBZ6dw4sQJdOrUCY6Ojvjyyy9RWFhI3dJTU1ORnZ39/7rqkZ6ejqNHj+LatWtIS0sTzVA1Gg1tBxOiF1lt1aqVqK1FSUkJXF1dUblyZXh5ef2u4LRWrVqSpvrKft7SFVS+pATQn2+bN2/GqFGjEBgYSNtUXbt2NXqDKykpQVpaGi5cuIDdu3cjKSkJcXFxvFNrrDZbamoqzp8/j9OnTwueO+x018uXLyUrf/8TkZ6ejmrVqiEwMBCTJ0/G4cOHJalkx8bG0vPCzc2NNxEtja+//hrNmjWDUqmUJLGQl5eH3Nxc+Pj4YMaMGZLaTCzt4ODBg6LJxy+//EI7A0IegAzDwNvbGwMHDsTo0aMF15UvXx6xsbFGiwHsmtTUVBrg8E3EZmdnY9KkSahZsyaKioqMHvuTJ0/w9OlTmJmZYe3atbzXw6RJkxAdHY1y5crx0lrS0tJQqVIl2NraCg70TJgwATKZDCYmJrhw4cJHV83/CP4Nqkrh4cOH8PPzo7wOPt2Ro0ePwsbGBg0aNIBSqeQdl168eDEIIVi4cCGaNm3Km5WMHDkS5ubmuHbtmqBQ4tChQ2FnZ4f09HTBaZTVq1dDJpPh/PnzgllGQUEBfH190apVK+h0OsHXvH//PmxtbREeHo6UlBRBcdGff/4ZSqUSQ4YMQVBQkKC1AmvH0alTJ9SrV483OF21ahVkMhlGjhwJb29vgxZVSUkJPDw8BMvviYmJcHZ2Nvi7RqNBRkYGFU49ePAgDhw4QD3f2MDC09MT58+f5339T4mioiI8fPgQt27dwuXLl/Hrr7/ixIkTOHTokAF5X6fTYdasWVShm+XZNWrUiLcVUlhYiMDAQLq+a9eukkjoO3bswJs3b1C+fHm0bdtW0uQbi5KSEqhUKiQnJ0t+DsMwmDVrFgghaNKkCapUqSIaNB44cIBWtQgh6N27t9FNPDMzk+OpR4he4JGVKSiNJUuWwNnZmcMNqlGjBh48eMBZ9/jxYzRt2hSVK1eGo6MjXR8dHc3ZHxiGQXx8PLp164bQ0FC0bNkSjRo1gr+/v4Ee0PXr1zFz5kxMnz4d33zzDaZOnYrJkydj9uzZnMBDq9XiwIEDSElJwcmTJ3Hu3DlcuXIFt2/fFg2Y/9tIT0//6Mkt1kyXECLoaFEWrC6eUqlEq1atRNvharUa3t7eMDc3R/Xq1UVV6+/fv4/g4GDawjTm2sHi0aNHVPRYKOnU6XQYMGAAdUngM1bWaDQIDw+n68LCwoyuu3nzJvWZtbGx4XX6iIqKQqVKlWBnZ4fatWsbvd4fPHhA3SECAgI4WoKl0bFjRxCi9yQNDw83GgidOHGCfhdOTk5Gr0UAqFevHocK8ntV9n8P/g2q/oOtW7fCysoKfn5+uHDhAsLCwoxG1Bs2bICJiQm6d++OoqIi3syBFaNkJw74sva1a9eCEHFFdXZ6TWzdy5cvYWtrK1gdYjFy5EjY2NiIjuV/+PABvr6+qF+/PiV98uHgwYNQqVQYMGAAdDod701bo9FQvZ8NGzYgNzfXaFUQ+E1pd8qUKVTjpiw2b94MuVwuOE7NrhEqjXfr1g0VKlRAdnY2njx5Qk2eWa7bd999Z/Bbsr5bJ0+exMqVK41qnul0OlpBS05OxjfffIN+/foZZKkXLlzAokWLEBsbi8jISISEhMDPzw99+vThfG6dToe1a9dyfCoJIbCzs+OtdB45cgSOjo50bYMGDfDDDz/wZtZZWVmoVasW6tWrB3t7e7i4uGDjxo2Sqnbnzp2DUqn8qPbJ3bt3QQiRbCmh0WgwePBgyGQyLF68GO/evRPM+t+8eYOxY8fC1NQUZmZmIIRg4MCBRm8EOTk5SEpK4vhMfvbZZ0aHLR48eICJEydyAqo+ffoYtE2Li4uxZ88eKhZJiH4a1RiPMTMzk6N8TQhB9erVjVYMnj59Ck9PT87aoKAgo9U0dnil9KNdu3aSZS/+P2HUqFHw9PTE5s2bP8rvsGnTpvRaEpIcKI1WrVrR71NMQBcApzovNlBR+jdbtmwZ77rbt29T+5mAgADedfv37+ckFHxggypCCG8yuW3bNrqmrLQBi+LiYlqocHJy4qWYsNVxmUzG24ov3SHiK3pkZmbSpGnIkCG8Va+/Cv/4oKqwsBCDBw8GIQTDhw+n2VDZ0jLDMJSn9NVXXwlepJs2bYJMJhNVSj9//jxUKpUoKe/9+/dwdXVFjx49RG9oX3zxBby8vESzq5SUFBBCBEUWAf2Nq3Xr1nBzczNKxC+No0ePwszMDH369BGsUBQWFiIsLAzm5uaCKrzAb35tQqVehmFQp04d0XFm9pjZ6p0xBew3b97A0dERAwcOBKCvCA0cOBCEEHTv3h2WlpZQqVTo0aMH1q1bhw4dOhhMOgUFBSElJQVPnjyBVquFWq1GfHw8h4NHiF7/Z8GCBTh48CCeP39OrWCWLl1KOX3sIyAgAJMmTcKuXbvoWkA/Yty/f3/OWisrK3To0AGLFy/GvXv3OOfMixcv4O/vj3LlyiEkJIROkUZHRxuVlWAreO/evcOgQYMgk8nQtGlTUYFM4DdFZqlTeNu3b4dMJpOkFZWXl4fQ0FCYmZkJDlcA+k02NjYWlpaWcHJywrfffouDBw9i2LBhBtfxrVu3MGzYMFhZWcHMzAyRkZHw9fVFWFgYpz2Xn5+P5ORkWs1zc3NDy5YtoVQqkZSUxBGqvXTpEkaNGkUDWrbyUL9+fU4SkJ2djeTkZLRr1w4mJiZQqVSUuD9y5EiabTMMg+vXr2P69Ok06GdvWpaWlli+fDl9/4KCAhw8eBBjx46lXm7sw9XVlSOq+7+EDx8+IDEx8XfpEnl6esLExOSjOIFsAOzl5SUpgHv06BENwoV8OgF9BZfl5vIZJbNg/fMaNGgguC40NBSEEMFpwb1799Jzha81nZWVRc89VmPMGNhhoPj4eN41bFDFZwsF/NbOFTKvZqknM2bM+K+c2//ooEqn08Hf3x82NjYGwoxlMX36dMjlciQlJQmuO3/+PORyOcaNGyf4g6rVanh6eqJNmzaiLZIhQ4bAzc1NVNmX1fcQGi8G9Bept7c3vvjiC0k6KWZmZrxVJBZPnz6FhYUFunfvLpoZdOrUCXZ2dqIZ3ffff0/bp0Jg3dTFWnMskfPu3btU38YYtm/fDkIIRzxx9erVVIV59erV1GzZ09MT48ePR5UqVegGZGpqSv9bqVTC19cX7du3x+LFixEfH0+rS46OjpzgycrKCg0aNED//v2RlZWF+Ph42NjYQCaToWfPnpz3cHR0RNu2belnPH78OHx9fTF+/HgsWbIEHTt2hJWVFQgh8PDw4FgcqdVqWkF68eIFZsyYQZXfGzRoIEjmvXDhAho0aCCq2gzob/4RERGwt7cX9IBkERcXh8qVK4uuYxgGrVq1goODg6jAZUpKCmxsbGBnZ4fZs2fTZKMsIbq4uBjNmzcHIXpj3IULF9KK5KZNmzg3yoSEBFhbW8PExARdunTBvn37oNFo8OOPP3JsMa5du0b90ypXrowZM2bg6dOnyMrKwqhRo2iFkGEY9OjRAyqVCiYmJmjfvj2Sk5ORlZWFoUOHchKPDRs20N/K2dkZUVFR2Lt3L3bt2oWWLVvSitOTJ0/QqlUrWrn47LPPEB0djf3796NChQoYMWIEsrOzJZtdp6WlSdJyy87OlhREsxO/UrSisrKyJIkFA5BcWcrOzja672o0GigUCs5UmZQbM8t7kkpUZxgGw4YNAyGEt7LMoqSkBDdv3oRSqRS0nykpKYFWq0Xjxo1Rt25dwfe+f//+/7F33WFRXdv3zAwMXYoK0rGhopRYAqiIomJHxEKwK4piQbEkNsReMaix19h77yUqduyJXUGKBAFFQRiYYWbu+v3Bu/dxnVsm75m833thfd98n8jmzi3nnrPP3muvDUNDQ8ENvVarRb169eDk5CR4foGBgZDL5YIb+Q4dOsDCwkJwHujatStq164NhULBu4b06dMHoaGhzLPjKqIZO3asTkq1rKxMrznoa+Bv7VQB5V5tSkqKqF1GRgZOnTolakdrKImRU4FypXM+RykjI4OZyD98+MC7mzl//jwzwLRaLW838efPn7P4Hffu3eOV7c/MzGTy2QUFBbzH/BL79u3TixB4+/ZtvSbo4uJiVmsMPtCtN8SgVCrx5s0bqFQqdOjQgZd3AJTfV7HJ9MmTJ4iNjUVGRgY0Gg0OHToEX19frF+/Hnl5ebh58ya2bduGuLg4REREMHIaRUVFWLJkCePUvX//HlevXsW6desQExODPn36MN/x4cMHTJo0ialmKygowOXLl5GQkICIiAhWqkypVLKc37KyMly7dg1xcXFYuXKl4LVotVpcvHgRY8eOFd1pa7VabNiwQbDlBI2SkhK9OhEA5VEVfd5FoNyJ/JKvxIXc3FzEx8frNaHOmjULZ86cEb3+o0ePYunSpbxcQRofP37EyJEjdRpmc42rWbNmYdOmTTrzwZep2VOnTuGHH35gdRAAyq+z4s/FxcWIiIjA5s2bWYu2Wq1mbT5CQkIwatQo1ndUdDYyMjIQHR0NuVyuUw5fcazdvXsXkZGRMDU1hZmZGYt/p9VqmfuvVquxd+9eNG3aFIQQQQ0orVaLTZs2oXr16oLpLOCfHDSpVCqqdk9RFDp16sSpyZeRkYHY2FjmZzpyLRZNUqlUerWDAsr5YQ4ODjh9+rSohuDQoUMxZMgQAMCCBQuwbNkyTrvjx4/D3t4eJSUlePXqFe/9KigogLOzM86dO4cffvhBMAPw3XffoUOHDmjfvr3g9YSEhIi20BkzZgz69esHZ2dnXvJ/t27dkJSUhNLSUtjb23OKeo4ZM4a1EWjfvr1OZOvJkyc6fzdjxgzUq1fvLyGs/+2dqq+Fd+/eiZI98/PzMXnyZEGPnq4sFMp1A+Uv8bhx4/QqF925cydcXFxEy3cpisL27dsRFhYmekz6HFavXv2HSIB/hLj8taDVallOFx0e9vb2/urfRfOr9MFf0TKhEpXgw8OHD0EIYfXLe/jwIWbNmoX09HSmz6CTkxNWr17NjFeKorBgwQLUr18fGzZsYEjB9evXx/Lly1mOYWlpKXr37o1Tp05h+fLlcHV1hUQiQVhYGCdvhhYTvXXrFpo2bQqpVIpRo0YJRumVSiUGDhwIqVSK5cuXi26G6EIergrhwsJC1hy1Z88eSKVSvYo0mjZtCi8vL1H2DuMXAAAgAElEQVQ7iqJgZ2eHefPmITExUdA2MTER5ubmKC4uhlqt5m259Pvvv0MqlTLq50IbYQ8PD4wbNw6fP38WzND069cP7dq1E0zZAcDo0aNhZ2cnaLN+/XosXboUJiYmvGsAnWE5dOgQJBIJZwSvYmTqwoULIISIbvqvXLkCiUQimjr9Wqh0qgTw8eNHLFiwQDDFUFhYiLi4OFa/qy9BURS2bduGatWqsZr+fonc3FymAkIohP7mzRumKkkoelZaWsrwxUaMGMFrB5RHRHr16gVCiGCTXhpnzpyBu7u7KB8M+GdT1MGDB+tdNp6RkaF3akIIFy5cQOPGjZmCgqKiIqbPmUwmw7Jly/4ypd1KVOL/E3r27AkvLy8mwnX9+nVYWlrCwcEBhoaGcHZ2xtq1a1nvR1FRETNP0OntiIgIJCUl6Tgz79+/R/PmzRk7Y2NjREdH81YZr169GvXq1WM4ggEBAbzcPbq34fv37xEQEABzc3NRfiYARsvuSx07PgwfPhy+vr562c6cORNubm562Q4YMACBgYGiVInc3FwYGBjwVsxVRHBwMDp37ixqR9MVAOHU5rx58+Dq6io6D8fHx4um7UtLSxETE6OX4GnPnj0RGBgoaKPVatGkSRN06NBB0C4/Px9OTk68hWd/BiqdKg7QIWAzMzOEhIRwPgylUonly5cz5FM+R+TZs2cMV8PIyIg3ZXDs2DGGlOrk5MT7sh0+fJghPFevXp3X7vXr1/Dx8WEmP6Fu5GfPnoW9vT1zTKGIVkpKCuP4mZiYCKZAKIrCyZMnmYl1165dvLZA+T3dv38/OnTooFe7h3fv3mH16tWcPLeHDx8iODiYiUjRC8fkyZMZzhPdOLZWrVp6NxKuRCX+F0DrJNHp9bNnz8LExISZL4YPH64zD6SkpDBtoOhPly5dOCOuKSkpOjxDoRTa7t27mYote3t77N69W/B9TExMREBAAGrXrg1nZ2deWRsaJSUl0Gq1aN26NerXr693dL1WrVqCG+GKWL16NaytrfWy3b59OwwNDfXS2goJCUFQUJCo3a5duyCTyUQj5ZcuXQIhRFBCB/hnRF9M/Dc+Pl60TQ1QXk0oNq8XFBTAyMiIVymdBl11yCftQ/esDAsLg729vaiA6ddEpVNVAY8fP0b//v2ZqgwzMzNOuYEbN24wZFG6ioeLh3Hr1i2WAjBftOjBgwf49ttvGbtZs2Zx2mVkZLBKcfkE3tRqNebNm8e0c3B2dubliTx9+pSlVC4UeTp16hSj+yJWpXHw4EF4e3sztkJtQ2huEt3pvmbNmrwRrezsbPz0009o1aoVJBIJGjRowJqYysrKMHLkSJYOUUXBvw8fPqBPnz749ttv0b59e4bISwhBcHDwX0ZmrEQl/hPIy8tDZmYmwsPD4eHhAa1WiwMHDsDQ0JAplvD19cXIkSNZJPK3b98iMjIS0dHRmD17NtavX49jx44hOTlZxzG4desWqlWrhurVq8PX1xd9+/ZFXFwcbyTp1KlTLDkKS0tLwUbxqampzDzk5OSk0yqHCxEREVi4cCGkUimSk5P1uldpaWkgRP8WJzt37oRUKtVrc5adna13ZSydDktPTxeMqisUClhYWCAhIUHQTqVSwdzcnLdlGg1a3VxIkxAod6rEevVRFIVq1arxcsKA8nVr8+bNMDQ05E333r59G9nZ2ahdu7YgRaZHjx6YPn06JBLJX9qiBqh0qlj4+PEjq38c3wCgKAo9e/Zk7PgmAI1Gg+7du4OQ8pYKfA2FNRoN2rdvj6pVq0IqlQpyswYNGgRra2vY2toKVuQdO3YMhJQLEApVpGi1WoSGhsLGxgZSqVSQ/KtUKllRN6HJLD09nen7Z2BgwEtqViqVrGbHMpmMN9366NEjuLq6MrYWFhac1T73799nnKXAwEDWJKfValGtWjUsXLiQ4aXRxzt48CDv9VSiEv8LOHfuHDw9PSGRSLBnzx5kZWUhISEBJ0+eRHp6+leJ1r58+VLvNP+1a9dgYWGBZs2aYeLEiTh+/LhgRSBFUayWXpaWloLimQCQk5PDbLLCw8P1qjjctm0bVqxYASMjI72iWhRFMRIEhYWFen2Hl5cXRo0aJVjRB5Q7QXQXC7GGyUOHDkWjRo3Qo0cPQceqR48eCA4Oxpw5c3htlEolZDIZdu7cyetYKZVKxqnSarWcFJgnT57g1atXIITwinUC5ZV9rVq1EuxVO3PmTDg6OsLQ0JBXkzA/P59x0tu1a4e0tDTe4/0ZqHSq/oGKOlQNGzaEj48PZ2qNoijExMRAKpVi7Nix6NixI+/xoqOjYWRkhJMnTzIVHFz44YcfIJfLkZycLEhc3LZtGwghOHr0KE6cOME7AWZmZsLGxgaDBg1CRkYGZzUEjblz50Imk+HKlSuCOxe1Wo2wsDBYWFhg7dq1gsrlnz9/RnBwMMzMzNCoUSPB6FdOTg5at27NvAR8UTqg3FmqX78+M6FWJNjSePbsGezs7ODv74+WLVvqVAXSsgq0Q5qTk4MmTZpg4MCBMDIy0rtSrRKV+G9ExVZPDRs21KuC8s8CXbWrTwqMBi3+WLduXaxatUqv5t+0EDMtRaKPsvqgQYMgkUhQrVo1DBo0SNSx2rFjB7Mh9/T0FJR3oSgK33//Pdzd3UEIESS3azQaREVFMQrorVq14rXdvn07KzvAJ7z8448/MrpXRkZGnDYfP35EeHg4LCwsULVqVVZFZEWMHj0a3t7esLa2hr+/P6cjd/z4cYayEhYWximlo9VqWeOSr1q5c+fOIKRcIDQwMJBz7GzYsIE5lr29vSD15c9ApVOF8pRRZGQkJBIJVq1ahQcPHnCGiCs6VHv27IFGo+HVRVmwYAEkEgnDWeB7KenWKHR7Gj5H6cWLFzAzMxPs6QSUOz8BAQFwd3cXnXDodh1iOyWKojB06FAYGRnh8uXLoCiKNzybl5eHpk2bolq1akhOTsbJkyd5J80bN27AwcEBbm5uuHfvHjp16sTpyGo0GixYsAAGBgZo1aoVhg4dyims+vz5c9jZ2cHPzw+FhYWcz2bZsmWwsrLSKRtXq9UIDw+HiYkJjhw5grt37+LIkSP46aef8MMPP6Bfv36Ii4vTayevUCj+lvwslUr1p1R37tmzB40aNUJQUBDCw8MxZswYzJkzBzt37vzT1ZI1Go3ez1Lfqs/09HS9Ijn5+fn49ddfRa+Roijs2LEDV65c4ZVJoTFs2DCGOC6mZ/f/DdnZ2ejVqxdOnjz5hxTS6YXY29tb76gFrSFFCBHl9wDlz4qOjpuamoqW7t+9e5dpGyUm1PnkyRMm3enp6clrV1ZWxujnEUJ4HeZ3794xLbhMTU15jzdy5EjmWHyVcxUV1fmqxumNLO1Acj27z58/MzZ169blXDMoimJ4x40aNeJ1Gmkl+DZt2ojKnvwZ+Ns7VUVFRejYsSOMjY05Ix80KIrC2LFjGYdKCNu3bwchRNRZefz4MczMzERDuiUlJfDy8kLjxo1FK9VmzpwJuVwumgd//fo1rKys0K9fP1FNrYkTJ0Imk3HqhlTEmzdvULduXbi6ugrugCmKwooVK2BgYIBOnToxDhoXIfLNmzdo2bIlDA0NsXjxYsaR/XLxfvHiBWrUqAFfX1/B8ufOnTvr6O3QKCsrQ2hoKExMTFg8M/ozYMAA7N69G0+fPmUtdDk5OTh06BBiY2PRrFkzTv2bilAqlTh79ixiY2NFF9fS0lIcP35clAei1Wpx8+ZN3h5dFa/x0qVLmDhxouACXFBQgMOHD2PEiBHYsWMHp01hYSHOnj2LGTNmIDAwEG3btv1qzmRZWRnu37+PtWvXYsiQISzOjYGBAUaNGsU5YU6ZMgXjxo3DyZMnBTcVFy5cQJ8+fbBx40bBNk2fP3/Gt99+i/79+2PTpk14/fo17zWOHz8ejo6O6NWrFxISEnD9+nVOEvf9+/dhYGCA+vXrY8CAAVi5ciVu3bqlY6tWq+Hp6QljY2N8++23iI6OxsaNG/HgwQOGRE5RFLKzszFmzBjm/lSvXh2BgYEYNWqUTsTE398fEomEKb3/b8K/ojFUWFgIuVyO3r17ixKuK2LChAkghMDX11dvBy4sLAyEEL1I5QAQExMDQsp7VoqBXlOcnZ0F7TIyMhhxYaE5Y8uWLQyFgg9v3rxh1NL5GlF/+vSJeTf5NMc+ffrEjE0+1fXff/+dcfb5dMYyMjKYSBafQ5WdnQ2ZTIZp06b9R+R7AP2dKkm57V+Lpk2b4t69e3/a8dVqNWnevDlJT08nJ06cIH5+fry28fHxZN68eWTXrl3ku+++47VLTk4mLVu2JOPGjSMJCQm8diqVinh6epLq1auTy5cvE7lczms7ceJEsnHjRvLgwQNSp04dXrs7d+4Qf39/kpiYSGJiYnjttFotadKkCZFIJOTGjRvE1NSU13bNmjVk9OjRZPv27WTAgAG8dtnZ2aRJkybE1taWnDlzhjg4OPDaRkdHk/Xr15P4+HgSFxdHpFIpp93ly5dJ9+7dibOzM9m5cyf55ptvOO3ev39PvL29ibOzMzl//jyxtLTktFOr1cTGxoYsXLiQjBkzhhBSvlmQSCSMjUqlImFhYeT69etk8+bNZMOGDeTChQvE0NCQuLu7kxcvXhCtVkuMjY1JrVq1SH5+PsnNzWV9j7OzM3FyciJWVlbEysqKWFpaEkNDQyKRSMjbt2/J+fPniUKhIO7u7iQyMpLzXN3d3cnBgwfJ8ePHSVFREdm6dSsxNTUlZWVlRKVSEZVKRUpKSkiNGjXI7du3yZEjR0h2djYZNGgQCQ4OJmVlZUStVhO1Wk0KCgrIp0+fSFZWFjl79iwpKCggLi4uzD2g70NWVhZ5+fIlUSgU5Pbt20Sr1RJCCOnfvz+xsbEhhoaGRC6XE4VCQc6fP09evXpFKIpijmFvb0/c3NyYa7a0tCRWVlbE09OT9OvXj/M6K0Kj0ZBJkyaRO3fukIcPHxKlUknMzMxI06ZNSXZ2Nnn9+jXp2bMnWbBgAUlLSyN37txh7oVKpSJlZWXk1atX5PLly4QQQgwNDUnjxo2JhYUFqVOnDqlSpQpjq1Qqyfbt25nzd3d3J3Z2dsTOzo7Y2toShUJBiouLSVFREfn1119Zz7hq1arExcWFNGjQgCgUCpKfn8+Mg48fP7KuycHBgTRt2pQAIHl5eSQvL4/k5uaSkpISlp2joyOpW7cuqVKlCsnJySHv3r0jOTk5RK1W64wtFxcXYmxsTLKyskhGRgZRKpUsG4lEQkJDQ0mbNm1IdHQ0MTAwYJ6xtbU1Wbx4MRkxYgTr2Vd8B/5dFBQUECsrK1G7lJQU4uTkRIyNjQXt1Go1yc3NJU5OTqLH/PjxI7GxsWF+PnDgAElJSSFTpkxhXaNGo2HuCxdmzJhBFi5cSO7evUsaN24s+r2EEHLs2DESGhpKZs6cSWbPni1qX1hYSBo2bEjq1atHfvnlF147iqKIVColw4cPJ3v37iVFRUWCdqdOnSJdu3Yl586dI8HBwby2HTp0IHfv3iUFBQW83z1o0CCyfft28vLlS+Lu7s5pExQURK5cuUJycnKIra2tzu8BEEtLS1KzZk3y8OFDzvn+5cuXpH79+mT58uVk3LhxnGPy8OHDZObMmeTSpUvM96hUKmJkZMTY7Nixg9jY2JAuXbqw/lar1ZLS0lJibm7Oe61fCxKJ5D6ApqKG+nheX/vzV0Sqtm7dKlpaCpRHQvQhMqtUKqxdu5Z3d1NWVsbsdI8cOcJL9v748SMTDUlPT+cN1Ws0GibiUFZWhp9//pl3J13xu8+cOaNXE9V3797xNo2uCIqisGzZMr2q506dOoUzZ86I2uXn52P69OmifAaKorBmzRrR79Zqtbh79y4rwrF06VKWDotGo0FpaSlWrlzJPMOkpCQEBgbi3bt3KC0txb1797B582aMHTsWAQEBWL16NcLDwxmpht69eyMmJgYDBw5ESEgImjdvDjs7O0a2gv6YmZnBxcWF+Tg7O6Nq1arM7pDrI5PJYGpqiipVqrAqFyt+JBIJjIyMYG5uDmtra5ibmzNhc/pjbGwMZ2dn1sfe3h5WVlZo2bIlq3qyZcuWaN68OSNuWL9+fdSsWROzZs3CwIEDmQ70wcHBGDt2LHPdgYGB8Pb2xrBhw0SfNY0uXbpgxIgR2Lx5Mx4/fszsNseOHcsqYKBb2jRs2BCNGzeGv78/WrduzepOb2FhgY4dO8LOzg7169eHj48PfH190apVK7Rr1465fxKJBAEBAahTpw4aNGiAFi1aoEOHDujVqxcGDx7MyAgYGRmhZ8+eGDJkCLy9vdG2bVv06dMH0dHRiIuLw+jRo0EIgbW1NcaOHYsTJ04wacuIiAiMGzcO8+fPx8aNG2FlZQVzc3NERUXh3r176NmzJwICAtCnTx+MGzcOixYtwrZt2xAaGgpDQ0OEh4fj8uXL2LJlC1q0aIH+/ftjxowZ2Lx5My5duoR9+/Yx9ICUlBQm5eLk5ITp06fj9evXePv2LebNm8fitNy/fx9169blbfhO48WLF/Dx8RFNn124cAGWlpaCvSHz8vIwduxYGBgYCDYIBspTX40bN0azZs1Eo6Bnz56FhYUFKzrHR1MYM2YMbwNgAJg/fz7GjBmD0tJSeHl56dUkeeXKlZDL5aK8zPfv38PLyws3b97EoUOHeHm5APD9998zfNySkhJ4e3tzRuwuX76M2rVrM2mz77//nlPmp7i4GE2aNMHp06eRmpoqGPkaM2YMoqOjYWBgICiz06dPH9jY2PD+HgAaNWqExYsXo0mTJpwR8nv37qFr166gKArFxcWoW7euTgHYrl27WBEqWiKjoio8XzRz3Lhx+Pbbb/+S6BX5u6f/xJCdnS3KaSguLsamTZtEX/rk5GS9xDLPnTuH7777TtQuLS0Nbdu21YvLce/ePVE+Fg2NRiNYpfG/hNmzZ6Np06bIyMhAYmIib/ktRVGi6YdPnz5hw4YNggvF77//jg0bNqBbt25o2LAh5zFVKhWuXLmC6dOn49tvv4VUKsW1a9c4J4Ts7Gz8/PPPiIiIQLVq1TBu3Dje73737h02bdqE0NBQpseWkO3atWvRrl070YbFRUVF2L59u6jy8r8DfdOK8fHxGDBgAI4fPy6oWH/v3j20bt0aq1ev5m2bAZRP3JGRkdi8ebOoqvaBAwewb98+UaX8rKwsbNiwQS+C9o4dO/TihTx79kxnU/H06VNMnjyZkXVp3rw5Nm3aBHNzcyxbtgwURaGwsBBGRkZYv3694PF//vlnGBoaCl7b7du3YWZmhvDwcB3O4o0bN6BQKDB//nxYWFjA1tYWa9as0Rn/NL1Bo9Fg6dKlMDIyQrNmzfDs2TPB8zt9+jSMjIzQr18/0fn6xYsXMDAwEOxduXv3bqbnICEEDx8+FDwmAKZaUIzLSlEU3N3dMWbMGKaDBh82btwIAwMDppn9y5cvOcfN+/fvYWxszFBOysrKeB1bWuYCAG9qHwCioqLg7++PSZMmCV7P+PHjRZ2qqVOnYsWKFahSpQpnwOHFixeMltS6desgl8t1UnxfzgFr1qyBVCoV7Uv7448/ghBxncSvhUqnigf5+fn4/vvvMXToUF4biqKwf/9+ODk5CZb1KhQKTJo0CVKpVDBCo1AomN2u0GCnFdotLCzQs2dPwesoLS3F1KlTIZPJRBdHoLy9gbe3t17kTKBcv2blypV/OmH4zwLdqsPQ0BCOjo5/aR6+pKREr3Lt/Px8vaq0tFqt3o1nS0tL9eaY/Ke4Cf8K9OW//BGi83871Go1Tpw4gbCwMEaPihCCHj16oKCgAGFhYaIK1tHR0YKE6sePH8Pa2hodO3ZkRTXevn2LWrVqISwsDA4ODjA1NcXMmTM5HQOlUomwsDC8fv0aLVq0gIGBAebOncs7t9AO2YkTJyCXyzFw4EC9xmr37t3RoEEDwTmLHh8HDhwAIUSv7g5nzpwBIUQ06geU93qkxZuFNgylpaWwtbXVq1HzyJEj4ebmJjoXr1q1CiYmJvj8+bPgd2/cuBHGxsai8hALFy4U5XopFAoMHDhQlG9GURQ8PDwEo4hAefbG3Nwc33//vaAdXQi2aNEiQbuviUqn6gsUFxdj/vz5sLS0FNTCePbsGaOX4uTkxBseTUpKQp06dUAIQb169Xgn89u3bzMltjY2Nrw7wvfv37M0ss6dO8d7LTdv3mQkCFxdXQVftlevXjGaWjVr1hSNyjx48AD9+vWDgYGBKIEdKJ8cjhw5ghkzZujdFubDhw96RyjE7BQKBY4ePcrSAFOpVIiPj2fupaGhoV4teipRif9GfPr0Cb6+vqw0cO3atbF06VJIJBImGsKFxo0bc8qorFmzBm/evIG9vT2aN2/Ocj6ysrKYuY8QgsGDB/NGBSmKQmRkJFOR1qhRI8FiG7VajWHDhuHYsWMwNDTE4MGD9XKorly5AkKIXi1tgH+2atEHqampIIQItjWjQes26VOBOXfuXFhaWopGNl++fAmJRCLYzw8oT7/q0/qGTiGLRekWL14s6lQBQIMGDUSdoIsXL4IQwmoUXxFarRYURSE4OBju7u6cm1KtVosTJ07g6tWrkMvlGDVq1F9ajV3pVP0DFEVhw4YNjB4IIYRXm2PNmjWsaiQ+TY3Dhw8zrVAIIZztVIDywevh4cHY8fWlKi4uxnfffcdwbmrWrMnrpJ0+fZopmyWEYMmSJbzXPWvWLNYOlq+CTKvV4tSpUwgKCmJshSJlKpUKJ0+exIABA2BhYQETExNBroVCocCZM2cwYcIEeHp6MjITXCgqKsLZs2cxZcoU9OzZk3NByM3NxebNmxESEgITExPWolBSUsJU61T8xMTE8FaWVKIS/80oKCjAr7/+isuXL+PgwYPYsGEDFi1ahGnTprFSgl8uQCUlJTAwMNCJnr98+RIymQzOzs7w8vJiRTSys7OZTSL96dWrF+9mcdWqVSy+n5gK9vr165lK0MjISNHI46+//orff/8dTZs2RVBQkN6LbP/+/REcHKyXrUajgaGhIX7++We97Js1a4aBAwcCEN4UfvjwASYmJkhMTBSdm7p37w5fX19QFCVY3du1a1e0b98eAH/UVq1Ww9jYWDRrkZCQAEdHR0Gbz58/sySGvkRhYSEoikJISIhgNeTkyZOxadMmSCQSXp7b0aNH4eLiAmtra3Tv3v0vj7RXOlUV8PbtW4Z/YGlpyRvGLSwsRL169UAIga2tLW8Kp6SkhOHEWFpa8ubaKYpCREQE03uLT/sK+Gc42szMDAsWLOC1U6lUCAwMhFQqhampqWAINysri2kRU6dOHcFw++bNmxl9lSpVqggS7Vu3bs2aVLdt28Zpe+3aNbRp04ZFvI6Pj9exKykpwfTp0+Hr68s4ltbW1jopr7KyMowYMYJFtg4KCtKJvl24cIE5To0aNWBqasqpf1WJSvyvY+DAgWjatCm+//57VrTp1q1buHz5MgjR7RVHNz4m/5AboUns7969Q/PmzdGhQwfMnDkTJ0+eFHQGLl++zLyHDg4OGDVqFC5evMjraBQVFbHafw0aNEiU77Z06VK4ublBIpHoxY8qKipCTk4OmjZtqjcXFSiPxkybNk0vPazExESYm5tj3bp1OiLFX2LUqFFwcXGBv7+/4Fx+9epVEELQt29fQW7nvn37IJVKsW7dOsFMg7+/P4YPH857fhRFITExETVq1ADATRW4c+cOfvnlFxBCkJ6eznmcw4cPIyoqChKJhDdb8OHDB0ilUshkMgwbNox3fNC9ZiUSCRITE/USiP2aqHSq/oHi4mK0adMG1tbWCAwMxOLFizntSktLERQUBFtbW8TFxQlGgMLDw2FpaYkLFy4I5sQTEhIgkUhw5swZTJ06ldfuyZMnMDMzQ1RUFNasWcNLUKdD6WZmZvjll194I25AufPj4+MDNzc39OnTR5DLlZubC19fX1hZWUEulwsSPQsKCtC3b19m4uPre0ifQ0Ul4MjISN4XZsWKFYydqakpZ6idoiisWrWKcapq166tUwX09OlTWFpaIjw8HOPHj8eFCxewcuVKyGQy3tBzJSrxv4i9e/cy7acIYStx0z1EZTIZYmJimE1USkoK4wjZ2dlh27ZtTMSjqKhI70hQWloaWrZsiSlTpiA5OVkvrhvd+UIikaB///68FI2KoKPSUqkUQUFBok6YUqlEjRo1YGJigg4dOmDVqlWC9lqtFuPHj0e9evXg5OQkGt26ffs2Q7cQo3GcPn0ajRs3Zmz5GlO/f/8eoaGhzHPhI5i/fPkS4eHhopmJOXPmoEmTJrC0tESDBg04beLj49GmTRuYmZmhQ4cOnNGxWbNmwcbGBoaGhoiJieFMAS9fvpw5ny5dunBWpu/cuZOxMTEx4eybeP36dcbG3t4eBw4c+MuFmCudKpSHJgMCAlC1alU8fPgQ9+7d4wxTazQa9OzZExYWFnjw4AGKi4t589zx8fGQyWTMy8LHI7pw4QKkUikWLlwIgD8U++nTJ9StWxd+fn5QKpWCA4V20o4ePQoAvHyvz58/w9fXFw4ODkhNTUVaWhpvqPT58+eoWbMm3Nzc8OzZM8TFxfGe6/Xr1+Hm5obq1atj+vTpaNq0Kef100rQtra2qF69OpycnNCpUydOPtfbt2/x3XffgRACFxcXGBgYcJL+MzIy0L59e0gkEgwePBgWFhY6fQdzc3NRs2ZN+Pn5oaSkhHnWWq0WAQEB8PT0ZIkr5uTk4PLly3+bishK/L1QXFzMRN4JIawFjU6zEUIQERHB/H9kZCQMDAwwadIkvfv88X33H0FOTg7Mzc3RrVs3/Pbbb3r9DUVRjJxJ7dq1eaMlX8LFxYW5diHaAo0lS5Yw9sOHDxc9p9DQUMaeTxSTth08eDBjK8T7PHHiBJNJ4FM4B8olSujj8YlU070MCSEICAjgtDl9+jRj4+vry2mzdu1azjFUEbhAG2wAACAASURBVBMnTmRs+NTb6fnf3t6e17Hs3r07JBIJxowZI+o4/1n42ztVhYWFaNGiBapVq4Zff/2V146iKERFRUEul4v2jtq1axcIIaIaLG/evIGNjQ169+4t6CRptVp07doVdnZ2oh3Zjx07BolEwhtpo6FQKBAYGIjq1avj+fPngrZJSUmwtrZGs2bNmPJurvNVq9WIj4+HVCpFx44d8e7dO3z8+JFzEnv58iXDzRo+fDjy8/ORkJCgE6pVKpVYuHAhzMzM4OrqiiNHjuD8+fPYvXs3y46iKGzcuBEWFhaoW7cubty4AY1Go6MEXFpaCn9/f7i5uXGWqr969QpyuRze3t7w8/ODlZUV87Jv3rxZtFwegF7VP5WoxP8nPHz4kEm/V0ynHzp0CIQQyOVyxtlKS0tD165dReeNPwO7d+/WSzOqIjIzM0FIeaGQEBn/S9DtTrp06aKXfWFhIdPjji+DURH5+flwcnICIUSUh1VWVsb0FqQ34HxYvXo1CCHw8fHhtVEqlUz0i6+pMkVRCAgIYPhwfMcxNzcHIfx9Ww8fPgxCiGDhV+/evUEIwahRozh/X1ZWBisrK3zzzTesYqOKeP78ORo3bizafeLPxt/aqVIqlfDz84Otra1oKfqcOXMglUpFZQnu3r0LIyMj0Ty8UqmEt7c3GjVqJJrznTt3LgwMDHDt2jVBu6dPn8LMzAxDhgwRbT3TuXNnWFlZifILjh49CrlcjtDQUMGy4o8fP8Lf3x9GRkZYsWKFYBg/ISEBcrkcnp6euHHjBuu8KoIWJjQ2NkZ8fDzDXfvy2AqFAh06dIBEIkFsbKzgefbr1w9VqlQRbDK9bNkySKVSeHp66hDZCSFwdHREq1atMGTIEMybNw9paWkoKirCpk2b4O/vj4SEBEYDKDU1FcnJyTh16hSr/UJhYaEOAVSr1SI1NVVH9O7jx486nBSVSoXk5GSdtCZXRPDdu3d6LYBarVZwY1ER+fn5epWZA/9aexExFBUV6ZUq0mg0gm1oKuLx48eCIoc03rx5w9mu5sudsVKpxC+//KLDgSksLNRJW1+7dg0PHz7UidwsXryYxWd58+YNkpOTde793bt3dca0WCk8Dfo66BRMRfFMmqNTsXiGJhXzQZ+NB1AeMdZnbGi1WkbDSAxc/Nb9+/fDw8ODRZfQJyU0fPhwEEJYc5QYpk2bBkK4m71zISkpCVKpVDC9SJ9rQUEBPD09ecV0K17TxIkTUaVKFcHrfPXqFczNzQV1qG7evCno7ADl4p+EEF69qBs3boAQgrFjx/Iew8/PD+3atWPGw5fnfeXKFfTo0UPn/ag4fl6/fs3LB6YoSu/56t/F39qpAsoX0C/TQ1y4e/cuL9G6Ij5//ox58+bppdu0ceNGvH79WtTu8ePHeqmal5SUYO7cuXpJFmzbtk2wkzqN1NRUzJgxQ7SCQqvVYsyYMXqF5Ldt24YlS5aITqjZ2dmIiIgQVX6nKAqxsbGiTidQriUjlsbTaDRITExEcXExrl27Bk9PT0gkEty8eRMHDhzA4sWLERUVhaCgINSoUQPdunVjVMVp8nzFasqKXLHCwkLMnTsX1tbW8PX1RUJCAgYPHoxmzZoxTVONjIygVquhUqmQmJjIpKX37duH2NhYxnklhDB9KEtLSzFz5kwsWbIEhYWFOH78OGJiYtCwYUMQQtC5c2fW/aLHE0VRuHPnDiZMmABHR0dIpVJBUnFFyRF9duN79+5Fw4YN9UoR7du3T1SfhkanTp3QvXt30TLzI0eOQCaToW/fvqwNxJfjWaPRoGrVqrC0tMSAAQNw7NgxxjlYs2YN63vo1ImDgwMiIiKwfv16vHjxAgcOHEBISAizG79z5w7z7GvWrImePXti/vz5OH36NKpWrYpu3boxTmzF9JuDgwNat26N4cOHM1ynwMBAnD59mpEAkUgkcHd3R69evTBnzhxGFiEiIgIvXrzA1atXYWFhISpKnJqaCh8fH6SmpjKbrYqVd8+ePYOVlRXu37+P9u3b80YJaFy5cgUODg6CYp2fPn3C9OnTYWZmJqjvB5TzSFu0aIGWLVuKOkJJSUmws7PTkWLYtm2bDtdn1qxZgos8ACxatAiBgYHo3LkzkpKSBG0B4ODBgwgNDYWxsbHgmlJYWIjWrVszx4yPj+fVUVqyZAnrncjMzET//v117O7fvw8vLy/G+dRqtQgLC9PZdKlUKnTs2JEJDuzevRtRUVGc3z1v3jzExcUhLCwMs2fP5r2ecePGwdjYmHeTk5KSAnNzc5w/fx6dOnXidPaDgoKY/8/Pz4ePjw+L2/rq1Sud45eUlMDPz0+Q20tfc//+/dG+ffu/hF/1t3eqxKBPCxuFQqGTjuLCx48fMWfOHL26zm/fvl20KTJte+zYMb3FNyu2qqmEOB4/fgwjIyM0bNhQJ/X622+/YdKkSQgICGAqNwkhCAkJwbZt23Dq1CkkJycjNTUVmZmZmD17NkvmgpDy6tGgoCDExMRgw4YNuHnzJj59+oSDBw+idu3aLFuJRAJPT09ERUVhy5YtePbsGbRaLc6cOcPYOjk5MURVT09PjB8/HidPnmScgry8PHTt2hWurq6YNm0aatWqxSz6U6dOxaNHj1jjIzs7G1euXIFKpcJPP/0EOzs7mJmZYcaMGaKchVu3bsHIyIhT34gLtGq3PpuCK1euoFq1avDw8BDcmKhUKmzbto1xLoODg3HhwgU8fPgQU6dOZV3rmzdvkJCQAD8/PxBCYG5uju+++w4+Pj6oWbMm47SXlpYiKSkJc+bMQVBQEPPsq1SpwjjFcXFxKC4uxtu3b3Hs2DHEx8cjJCSESfdUfKYRERF4/Pgxnjx5giNHjmDx4sWIjIxEq1atmNQK/fHy8kJCQgL27NmD6dOno1u3bizuD03G7tu3L4YOHcpwa+iU9JfvvkqlQq1atZiFOjc3lxVxyMvLQ0JCArZv3w4DAwNBsdorV67A1NQUPXr0YG2YUlJScOvWLSgUCixatAjW1tawsrLCggULdCIPtBNQUlKCadOmwcDAAI0bNxYtHjl79ixMTEwQGhqqM36+vObc3FyYmZmJdgA4ePAgjh49CkIIjh8/LmhL20skEgwbNkwwWkdRFPz9/ZmNjlqt5iWqHzx4EISwta+4iN6FhYWwtbVFdHQ0838KhYLTgQkNDYWPjw9zX/ja6syYMQOOjo54/vy5oOr7/PnzYWJiwvv7z58/Y/bs2Vi0aBGqVaum8zwoimKlBSdMmICqVasKth3TarXo06cPLC0tBR34goICtG3bFmZmZrxNob82Kp0qHqSlpSEiIkLwxaMoCkeOHIGLi4uoAvr+/fthZ2eHpUuXCn5vamoq2rdvD09PT1Hn5+HDh2jZsqWooBpQ/uJu3boVEydOFLWlUVRU9Kekbv5bUFpayvR94yNq0igrK8ODBw+wdu1azJw5k/XsaIckMjIS7dq1Q506dSCXy2FsbKyTsrl79y5atGihE+UaMWKETlQmKysLvXr1YtlVrVoVu3bt4uSLnT17lqXD5ujoiNjYWCQnJ3OOtaysLNStWxfdu3eHm5sbU72jT9uUtLQ02NraolOnTno7/E+fPoVQddOXSE9Ph4+PD6ysrHD27FlQFMX7txRF4dSpU0zkp2bNmiCEoH///pwpv7dv32LFihWsZyGRSDBlyhQde5VKhevXrzNjhf64uLjg4MGDOvd28+bNLLvq1aujSZMmOHz4MMv27du3cHBwQKNGjRAWFoYffvgBmzdvxtWrV3XGQkREBAgp121ydXVFy5YtMWDAAGzYsAEODg5wcHDA+fPnsXfvXp0U765duyCRSDijzBqNBkqlEqNGjeJUVKfPl8+hevnyJRwcHNCzZ0/Y29vDxMQEU6ZM4VzsMzIy0LZtW1y8eBF16tSBmZkZEhMTeccP/RwOHz4MQ0ND9O3bV6/5aty4cbC1tRWlXXz8+JHhY129elX0uB8+fAAh/NIxFUE7a2KRfYqi0KpVK/j6+oqmu2m5G7EU/v3790EIERVtpiOt9+/fFywo2LBhA8zMzASvobi4GB07duTlZtFITU2FXC7HihUrBO3i4uIgk8k4HcL8/HyUlZXh7du38PT0hJ2d3V9a0V3pVH2Bjx8/YuLEiZDL5ahevTpveiE1NRWdO3cGIUSwNUBmZia6devG7Hz5vO+ysjIsXryY2fUKERfz8/MRHR0NqVQKExMTwXSNRqPBjh07UKdOHRgaGoqmGymKQnJyMoYPH46oqCi9o1pqtVpvpfT/FsTExDALX4cOHb7qsbVaLbKzs3X4PhRFoaCgAKmpqbhz5w5Onz6NHTt2YN26dawFQ6FQYPny5Zg2bRpiY2MRHR2NwYMHIzw8XGcBUCqViI2N1XHUunfvzsshyszMZEXK+vbtq5f2zqNHj1BQUICGDRuiUaNGf6gyTKPRwMzMTDScXxEKhQLh4eGQSqUYN24c3NzcRFOCV69eZUWA2rZtyxl1oygKI0aM0Llv3t7eOhzMtLQ0jB07FtOmTcOCBQvw008/YevWrTh48KDO+3n58mXcvn0bmZmZghyukpISvXhjSqUSt2/fxu+//86Zpv/w4QMjKVCrVi3UqVOHNQ9ptVp4eXmhW7duvN/xzTff6PBEtVotZs6ciaSkJE6H6tmzZyw9qZEjR/Iqqn/69AkNGzZkZFC6desmyIUrLi5GVFQUduzYAZlMhqioKL1EHtPT0yGXy3kFm7/Eb7/9pkPeF4KPj49ekVmtVov69etjwIABorb379+HRCIRpYBotVo0adIEbdq0EZ23u3XrhiZNmogWSNnb23NqBlbErl27IJVKBY9VVlYGc3NzUWmK8PBw1KlTh/O9yMvLw++//44dO3aAEIJ169ZxHmPYsGFYt24dHB0dUa9ePVH6yNdGpVP1D2i1WiQmJrLSM3ylpnTjTNqOr8rv/PnzLEX18ePHc9q9f/8e/v7+jJ29vT3vZLtv3z5GqFPomBqNBrt372ZxNYQIifn5+VixYgVDznZ2dhYMvwLljuW6desQFhamVyNTGgUFBf/vI2AKhQInT55EnTp14OLigtDQ0P/0Kf3LePHiBc6dO4dr167h/v37eP78OTIyMvD+/XvOZ5aens5EcuhPWFiYKAH506dPcHR0RPv27WFra6t36XpFBAQECPbb5AJFUZg5cyZzrnwcERp79uxB165dUb9+fabizdPTk5MvRFEU1Go1k0rJyclBZmamKLfo/xs0Gg1CQkKYe9StWzeWw3bq1CkQQnD9+nWd6GlxcTFkMhnD36Oxc+dOyOVymJmZoUePHqw56/Hjx7C1tWWNoSFDhvA2EKcr7Qgp170S43vOnDkTMpkMEokEEyZMEHUi3r9/j9zcXAwZMgSurq56bwCTkpJACNG7anDChAnw8PDQy3bz5s0wMDBARkaGaFHBkCFD4OjoiIKCAkHiPE0KP3TokCB39O7duyCkvF2P0LWNGDFCsIoQKK84J4QIpoZv374NQghvgVBycjJjwycvMXfuXISEhEAul/NqL167do0ZRy1atNDhlP0VqHSqKuDJkycML8LZ2Zl3ESksLGQWHTs7O167ilokUqlU0GOmldIJIaJK6c2aNWO4G3wSCzTXxtjYmEkx8HFgioqK0K9fP1aag082Ijc3F9HR0awoRuPGjTlD6SqVCr/99ht27dqFKVOmoEuXLnBxccGsWbN4J8FPnz7h0aNHOHbsGFauXKlTCVcRCoUCr169wqVLl7B//37OibKsrAypqan45ZdfsGnTJsyePZt1zyiKwtu3b3Hq1CksWrQI/fr1g5eXF3x9fZnKl3Pnzv3Hy3T/KqSlpSEwMBA9evTAvHnzcObMGb3b9ixbtowZE9OmTdO7+qwiJkyYAC8vL+Tk5Og9IX748IElXkkI0Zs/odFokJ6ejosXL+LkyZP/s3zD58+fY9iwYbCxsWHu0fz585nf0+Xz3t7eqFWrFnMfHj58iEuXLoEQthq2UqmEm5sba8NGRwgfP36MgIAA9O3bFwkJCbh06RLvWKAoCv379wchBBYWFujevTtWr16NlJQU3mvJyMhg5jWZTIbY2FhRh//kyZPw9/eHVCrF1q1b9bpnarWacRj0rRw7efIkCCF4+fKlaBpbqVTCwcEBvXr1Qvfu3QVts7OzYWZmhnr16mHIkCGCtn379oWjoyPMzc0Fz7tz587w8fGBh4cHb0SUdrZv3rzJy72i+/W9f/+e8zhJSUm8fCqgfAy4urqiQYMGaNGiBaeNSqViop41atTAnTt3OPmBNHeSkHJNMn21zL4mKp2qf+Dz589o3rw57Ozs4O/vz9t3rqysDJ06dYKNjQ3Gjx8vqAc1Y8YMyGQybNy4kVf0DADu3bsHU1NTDB48GF26dOFdTCiKwrBhw2BkZISxY8cKlrkWFBSgZcuWsLa2hqOjI9avX89rW1RUxJTFEkIEOVoURbGE49zc3HiV3R8+fMgQoenPsmXLdOy0Wi1iY2MZh5b+xMbG6oT0r1+/Di8vL1ZE0c7OTqeNQl5eHpo3b84I4RFS3nroy55ipaWlGDZsGOt7/f398enTJ8yZMwfVqlXTOwL3v4B/NYKo0WhYi2z//v3/sF7XgQMHEBERAZlMBgcHB724WzQoisK1a9fQt29fyOVy2Nvb/0d2qf/fUVZWhjNnzmDIkCGoWrUqQ5DeunUra6NER+J++OEHhgs1e/ZsprqsYmeDwMBA1qbjj/RaO3LkCKZPn46kpCS9xx7NH5PL5Rg7dqyodh9QLolDn2/79u31iqIuXLgQwcHBkEql+OGHH0SV258/f46pU6cycw2fUjlQPl4XLFjA3HO6zQsX1Go1hg8fzqSs69Wrx2t78uRJODs7M9fKtyndt28fq4sF17WlpaVh8uTJIKRcY4ordXf06FFGeiIiIoIzOtaqVStYW1vDw8MDCxcu1HG8aN4aHczgIsXTKT96vj948KCOzYIFC0BIeQu38ePH/0uR8q+BSqcK5eHtgIAAVK9eHU+ePMHt27c5F1KtVosBAwbAxMQEt27dQkFBAS9nhCaj0lpEfDu19PR01KhRA23btoVKpRLc3U+ZMgVSqRRHjhxBaWkpbwriw4cPaNKkCezs7PDbb79h586dvBPdixcv4OHhgapVq+LQoUNo0qQJb+oxJSUFwcHBzC7AxsaGt0/hu3fvEBsby+woJRIJb2PO9PR0jBs3jnlpZDIZJ69GrVbj8OHDrGqnb775BpmZmSw7iqJw8eJFtGzZkuX8fVnmTPPNKjZ+bdu2LRN1a9iwIUaOHMl5zpVggxb4c3JywqlTp/6lY6SmpjJSFFKp9F9uhJqXl4dFixZV9nEUAa11RlEUNBoNq60UrbNUUSW8b9++AMoj9dWqVYOnpydOnz79l0b3bty4AblcjlGjRv2hFCzdEsbQ0FCvSj7gn1EnQggaNWokep00qZz+GyHlc6A8+uTq6srYC3EB8/Pz8e233zK2QrpdFVu+8EkhqNVqVkN5vntScbPNpXSenZ3NbFylUinnekhzjwkhnBIaFbM0w4YN03G6KIpC06ZNQQjBwIEDOTdLqampcHNzw7x58/7jm6m/vVOlUCjQpk0b2NjYiFZNTJ48GTKZDCdPnhS0u3DhAgwMDDBlyhRBO5qc6eHhIcpfWrp0KQjh79NE4927d2jUqBGcnZ3x8uVLQdvDhw/DwsICTZo0Ybx6rqiTSqXC/PnzYWxsjAYNGiApKQn79u3jVDau6EzZ2dnhxx9/RM2aNXX4GBRF4fr16+jVqxekUilq1KiBgIAAWFpa6ux28vLysGDBAmYHRvMvevfuzapKUSqV2Lp1K7y8vEAIQcuWLVG7dm34+fmxUlgajQY7d+5EvXr1IJVK0b9/f0RFRSEkJIRJIzx+/BiEEFy5ckXwHlaiHIGBgYiOjv63WpYA/9SAsrW1/bfPSavV/s+m8/4MqNVqphXIjBkzAACbNm1iqAb0HLF582Zs27btX3Z6/x1s3rxZbzHXinB2doZMJhMVb66I/Px8ZrEXq9qm8fjxY0bShKs33Zd4/vw5k5IVk9ApLCxknDaxyr0tW7ZAKpWiXbt2vDZKpVJUpT0vLw/Vq1cHIYS3Io8+Bld1KPBPx6xZs2ac6UG6RU10dDTn769fvw4XFxfOtmQ0nj59qrfo7J+Nv7VTRQ8qa2tr0QGdmJgIQsTbCTx9+hRVqlRBeHi4YOVOWVkZ2rZtixo1aoiGKbdu3QpCCBISEgTt3r59izp16ujV32r69OkgpFyQUmgw3rt3Dx4eHjA2Nsb8+fNZPfEqoqSkBBMmTICJiQlsbW2xbNkyJp//pdLusWPHmJ1HkyZNsHPnTqhUKuzfv58VTXrz5g0GDhwIuVyOKlWqYPz48Xj16hVycnIwe/Zs5hw0Gg3mzJkDOzs7yGQyREREMN+5fPlyFoHyxIkTqF+/PiQSCfr27csojT969IiVfpgxYwbs7e1FF46cnBy9VLjVarXeqtD6pr0KCgr0+m66olAf6DsxVRzb79+/10scUR/k5ubC3Nwcnp6eX+V4APRO3+rLmykqKtLLoaAoSu8UaG5url4OYF5eHuc4+rLknaIoPH78WOc8VSqVjlNScWyo1Wr06dMHfn5+0Gg0OHLkCAghmDJlCnN+9LPnmt+0Wi2LD6XRaLB//34dvb/S0lI8fvxYr3GpVqv15vVxjd+8vDzIZDLs379fr2NURIMGDSCTyXirFrkwYcIEEELwyy+/6GV//fp1GBsb855fxXGhUCgQHBzMSdH4cvwcPHgQNjY2guO/qKgIvr6+6NevH68NrZXFV7hFZ2UmT57M+XtaL42Pl9qyZUvExMSwzr/iv8+fP88bxdM3ZVypqP4XOVUURWHq1Kl6aVhcvHgRiYmJonZ5eXkYO3as6OJEURTmzp2rlybPjRs3MHfuXFG7oqIiDBkyRK8JYPHixaJqxkD5zqtz586CxFGg/Ho6dOiAhIQE0cG7dOlS9OrVC9evXxdcSNLS0uDl5YW1a9eyiPBcf9OtWzd8//33OqnAL0Hz24QE44DyapWKk9zZs2eZ+0prGLVq1QoSiYSV7tJqtayWMI8ePUJsbCxsbW2Z9AmNio4v3bbGz88PZmZmrElEq9Wyrv/Ro0eIioqCmZkZdu3axXsNFEXhxIkTaNasmagkBEVRWLduHezs7ES5I1qtFhEREbwq0BWRk5MjWh5PY9++fZg1axZmz54tuMNWqVTo1auXXmnGAwcOwMfHR5R3U1BQABcXF0yZMkWwigkARo0ahQYNGmD//v2CG6ebN29CLpdj4MCBrPdcpVKx/k6r1aJWrVrw8fHBunXrWM/+y1TGrFmzQAiBh4cHRowYgV27diEzMxNnzpxBjx49mGKYlJQUhl8SEBCAiRMnYu/evUhNTYW7uzsmTZqEjx8/MnIKQUFBjGNcVlaGwMBAjBs3DlevXkX16tWxcuVKdO/enXHSbt68yVRppqWlYePGjQgPD0e1atVgamqKoqIibNmyBe7u7pBKpVixYgXGjx+PTp06oWbNmox0QsXIkVqtZu4TrTk2fvx42NnZISQkRPCZUBSF9evXo0aNGjoFQRcvXtQRZ16yZAlvr7qKGDZsGFxdXXW4mFy4du0aevXqhYKCAjg4OOjwPGkolUqEhYWxxu/hw4c536etW7eiT58+rDlPqVTqbLBTU1PRpEkTHef17NmzrI2qWq3GgAEDWPc9Pz+fU9ohMTGR4VH16dOHd/3bunUrZDIZb3HIuHHjEBkZiVu3bmHgwIGs9aGsrAxxcXGs60tJSUGzZs1E56GUlBQ0bNiQk1/1pV379u0RHh4uaPe18Ld2qr429IkaAPrvnCvxn4dCocDo0aNBV0vRattmZmYIDw/H/v37mSjB+/fv0bFjR0yZMgWJiYnw8fEBIQSurq6Ii4tjaYTt3LkTvr6+uHr1KgYNGgRTU1PI5XKEh4fj3LlzzOJVVFSEnj174tq1a9i5cyeaN28OQgjq1q2LH3/8kbXoFhcXY8uWLaAoCkePHmUapnbp0oVzl0hPZFlZWUzvxMmTJ4uqQY8ePRqGhoa8KtAVMW/ePFhaWgqKB9KIj4+Hu7s7ioqKWL3muNCrVy+4urqKHjc1NRV169aFs7OzYOsQrVaLn376CWZmZqhbty7jYFAUpfNeP336lGkA6+3tjWPHjjEObMXzKS4uxvr165mKJH9/f+zevRsZGRkIDQ1lHGU6Fd6/f38YGRnB3NwcI0aMwIMHD9C7d2/WopGfn49jx45h4sSJaNasGZNqoiujjIyMMGPGDHz69An379/HunXrEBkZCU9PT1bRBiEEVlZWWLx4MU6fPs3wD9u0aYOkpCScPXsWEYQg38ICFCFIJwR7Q0KQn5+PqKgoEFIuHlunTh3me9u1a4e5c+di0qRJLLI0/b40btwYffv2xezZs7F37148evSIGWuZmZlo2bIlRo4ciblz5zJSMLVq1UJcXBwnd5Mev+/evUOXLl0gkUgwadIknfH75c9ZWVkwNTXlbSRcEVu3boWNjY1e6b9Hjx6BkPLK0z179gjSSXr37g1nZ2eWA821Ibx8+TKkUqlOgc+XG0uFQoFvvvkGDRo00EnBf2kbEREBFxcXlnPDxeUdOXIkk9LLy8vj1cmKiYmBjY0Nb+o/ISEBeXl5GDZsmA43TaPRsH4uLi6Gp6cnvL29BTfnFy9ehLW1NXx8fHSyMvQ7qFKpsGDBAhgbG8PDw0OvNmZfA5VOlQDevXuHadOmiaZjUlJSMGjQIFGBOJVKhTVr1ui1w9dqtThy5MgfUoLV16mrhH5ITk5mkdjpvnBHjx7ViWbcuHGD1YLEzMwMgwYNwuXLl1lRCaVSyThp9Mfb2xsrV67USRW9efOG4YeZmppCKpWiR48euHDhgk6E5NOnT2jRogW8vLwYZ65bt268kdCjR48yjpqVlRVq167NurZ+FwAAIABJREFUyZH7EjNnzoREIhEl4QLlmwdnZ2deLbUvsW7dOlhYWAAQbwacnZ0NS0tLvToEvH//Hn5+frCysmKcJb50Qnp6Ojp27AhCysUq37x5g8jISM7o6KNHjxgCdLNmzRAUFIQWLVpwLmqXLl1CaGgopFIpw1Hx9vbWieB9+PABy5YtQ926dRliNSEE06dP50w5FhUV4fz58ywSM10wsGfPHp0Fa9WqVSw7uuJq3759uHjxIgICAkAIwczatVFMSPnU/4+PWi7HiAq6e4QQxMTE4OLFi8z7cOXKFSxYsACRkZEIDAyEo6MjCOGu+qVx7NgxltRD1apVMWrUKNy8eZM3kn3+/Hlcv34dBw8eRNWqVeHq6qo3/3HAgAFwcXERjUgC5VHpRo0aYerUqXodOygoCO3atQNFUYKbk5ycHFhbW2P06NGix5w3bx4MDAx4I180MjIyUL16dYSEhAhGULOysmBubo64uDjB4+3du5dFPudLeQ8cOFCw40RJSQkUCgUsLCwEnVOKotC3b19YWVlxRqnoJuYrV66ETCZDr169dDZVmZmZCA8Px/Xr19GwYUMYGRlh3rx5f+naWOlUceD3339HTEwMjI2NBSuIsrKyMGLECBgYGAhqh9AtYtzc3GBlZSXIsygrK8PPP/+MBg0awM/PT1RRmQ6zd+vWTW+BOrptQCW4UVZWhvj4eCYKQH8qNiylQVEUli1bBgMDA8ZOKpVypgsyMzPh6+vLOuaAAQM4F45Lly6xRF6trKxYacWKyMnJYRwpOtpw//593ut7+vQpzM3NGbmLUaNGCY6H169fIzU1lSmj51My/hI0H0ef/pnAP1t36Ds2161bB6lUKnitNBQKBbp37w65XI79+/ejU6dOvIsq3XvTxsYGlpaWIIQISqfcuXMHbdu2Ze5/06ZNeSuQUlJSWM43lxwIfQ7jx49njZXOnTtzFrTk5OQgMjISY8eOxfTp07F48WKsXbsWu3bt0qmQ27NnDzZu3Ihjx47h1q1bSE1NRVFRETMGaQcwy8CA5VDRnzxTU4SEhCA4OBiBgYF6bRBLSko4OzkolUpW1wJCiE46nQtv3ryBjY0NGjRoAELKRUX1LZCgBSb37t2rlz0AtG7dGiNGjNDLlq4Y1Ecf6eeffwYh4i1wtFotOnToAGdnZ3z48EHQGUxKSoKBgQFmzpwJALxctCVLlsDIyEiQ1vHu3TsQQkSfR/fu3fHdd98J2uzatYuXm0ZvoJYvXw6JRMKZRnzw4AF8fX0Z+Zs5c+bozJsFBQVo1KgRsxEJCgrSe+75mqh0qirg7du3GD16NKOW7ujoyDnB5+XlYcKECYydqakpp0Oj1WqxZ88eVrSDj2yuUCiwcuVKRi5AKpXi4cOHnLYVW8nQ2iUHDhwQvLaCggIcPnwYUVFRCAwM/MMaQH8n5Obm4t69e/jtt9/w4sULvHnzBllZWcjLy2PtPimKwo4dOxAZGYlJkyZh/vz5WL16NXbv3q0zUaakpKBnz54ICwtDVFQUpk6dioSEBPz888+shZKiKKxatQpWVlZwd3dHYGAgIiIiMHHiRE7xvYyMDCaqQX/8/Px4n+/Hjx+ZlA1NQBbD0KFDmR54FQUj+UBvBNq1a4fg4GBRexrJyckghIjy9yp+T4sWLdC4cWOkp6cLKk0D5Tvt6Ohohs9DV7jx4dChQ4wtIfxKz58+fWLJd9AOONeCdvXqVQwdOhTt27dH/fr1YWpqCiMjIx3Oj0KhQEJCAiZMmIC+ffsiKCgIHh4e8Pf3F+UD/jvIzMxEaGgotBwOFQgBJJKv8j0URWHfvn2YO3cuVqxYgS1btuDAgQM4d+6coJOsUChY+kpCXSIq4smTJyguLoafnx9atmz5h+a0Hj16oHfv3nrZarValkCnUISEoigEBwfD3d0dqampgun0vLw8ODo6okuXLhgzZowgR3D16tUghGDevHm8zo5KpUK9evWYzTif81GvXj1eAjqNwMBAUaezffv26NKlC+fvRo8ejRUrVkAmk3Fyh1UqFdPpw9TUlLOCU6VSsTY2bm5uerXV+jNQ6VRVwPXr1+Hh4cE8mC9lAGhkZWUhPDycsaN3BV9CqVQyTS5pfgBfe4T79+8zfBk6rM4FrsgIX5RMrVZj6dKlCAgIYKIulpaWvNwSpVKJX3/9Fbt27cLUqVMREhKCTp06/de15PhvhkajEe1dRyMvLw9Dhw5FbGwsNm3ahNu3bwv+rVqtZnTG6PE4ceJE5OXl8f5NWloaM9bq1q2rV1Ro69atTCm+WOl3RWRkZIAQgmvXruldrv/06VMYGhrCwcFBNBWoUCgQGRnJXL+hoSFv9E+t/j/2vjsqimz7uppuaIIIKAiIihlFRRAUIyAGDIg5IKIoiKDCmBVUDIOiKEYMIwbM45jDiIgRE2ICMY0JAwpKMpC7u/b3R391fxRd3VW+meeb98a9Vq+l9KmqrnTvuSfsLcPu3bsxYsQIQjSrp6en0snKgKZpvHr1CsePH8eiRYswaNAgeHp68jaN0DSN/Px8pKenC+5kEqIH+K8iKSkJRkZGyFTjVL3X0YG/vz9Wr16NpKQk5OTkfLdFF03ThPiTifIFBQUJWiBGRETAyckJIpFI0DNcGf7+/ujWrRtomhZ0rps2bYKOjg6WLl3Ky4mVmZkJAwMDmJqawt/fX6Pt2bNnyblripyWlZURB0NbW1vt9WH217x5c04OKkApU9O2bVu8efNGJfrKXIvWrVtj9uzZnNsfO3YMCQkJEIlEnN2NxcXFhPS5Xbt2nE4o06nOfObOnavSKTh69GhQlFJQ3MXFBZGRkbwUSf8u/HCqKmH9+vWgKKX2XpcuXdS+QElJSdDT00Pz5s1hbm6uVu28sLAQ7du3R61atWBkZKQxmpSYmAgDAwNUr14dFhYWGluNDx48SCJUjRo10jiRMikY5gVT1+b76dMnFakPe3t7ztX2vXv3MH36dPj5+cHT0xPt27dHkyZNEBgYqNKl9+TJE2RkZCAtLQ137txBamoqbty4gbS0NLW/+Qf+PZgxYwZat26NhQsXIj09XdAEERQURJ4HR0dHXL9+nXeb+fPng6KUJK5z5szR6LQx+OOPPwhp4cCBAwV12paVlcHHx4dEjFu0aMG7TW5uLhYsWEBqeFxdXXmvg0wmw9WrVxEWFoZevXrxdphWxr/TAfpWfPjwAdu3b8fatWuxZMkSzJkzB5MmTcLEiRPJOUVGRoKiKHhTlEpNFa2vjyNDhrDGCGNjY41SUn8lVq5cibp165KuxG/hyXJ3dyeOsZ+fn6B6KgBYt24dvLy8UL9+fQwePJjX8c3MzMTEiRPJ9dEk3CyTyeDv70+eX0tLS7XPIlMXyOzX1tZWre3x48dhampKbLmiy58+fcKgQYPIYnvw4MEqNgkJCQgICICWlhYsLS1VomOFhYXw9vZGrVq1MHz4cM6ygJUrV5Job0REhEpGh6ELYqJQVSmLUlNTIRaLoaOjA19fX9y4cUPlvHft2oWJEyfi+PHjf5on76/AD6cKysmfkTGIjIzEyZMn1abeTp8+DalUiuHDh+PLly8qYXsGeXl5aNOmDWrXro3Hjx9jy5Ytal+C3bt3QyKRwNvbGxcvXlTbJi+TyQhRWlBQEDp37qxWeLSsrAwLFy6Ejo4O6cTZuXOn2vM/ceIEHB0dyQPeqVMntYSk79+/Z6U0xWIxVq1axXl+GzduZA3CFEXBxcVFpRDxyZMnaNiwIerUqYNGjRqhRYsWaNOmDQICAlgrJIYGY9iwYQgKCkJYWBiio6MRFxenkv7JzMzE2bNn8fz58398x2VZWdk3q7VnZWVBR0cHNWvWxC+//CJ4EmN4aZjaByGoKnMjlJU9Pz+fFFdTFCU4qlpUVIR169bB2tpa7XuhDn93MXB1UCgULHZrJk35+PFj0DSNOXPmkL/XrFkT5/39AWtr0BSFN1paKP3/0l3r1q0jdtWrV8eCBQvIWMG0r5ubm6NGjRowNDSErq4uWrduzdt8QNM03r17x1ngXVFRgTt37vxLUbGKigro6+uDoijUq1fvm+psmFQaM24JwaxZs8g2fF2sRUVFRB+WojQTgJaXl5Pxn6IojU1MOTk5pImiXr16nO/uw4cPSX2fqampygLgxYsXxOGjKIrTYWHSchRFcc5blaNM48ePV/meyc60bdtWhay6tLQUffr0wbJlywQtzP4u+Mc7VQqFghSEMpwcmlYAjMesaZLOyclBy5YtUa9ePd76EIYpferUqVAoFCotpgyys7Ph6uoKXV1dIgiqbt/Jyclo1qwZ9PT0sGLFCrx584aTk6Vq632fPn3g4eEBDw8PlXZWmUyGEydOoH///hCLxTAwMCCrq6r1Q2VlZTh9+jQCAwNhbm5OXipdXV2sWbOG9fJ+/vwZx48fR0hIiIrt0qVLWeHgwsJCnD59GmPHjmVNDExDQdWIYW5uLhk0xGIxGjZsiB49emDOnDkqDuPt27f/q17c74GpU6di0qRJ3yz7wHTPDR069JsmwaioKHJP1elJcqGsrIykhbh0wzShoqICZ8+e/Z+uG8zIyMCcOXNYkigURWHy5MkoLS2FXC5HQEAARCIRLCwsEBISwppAb926BalUyoq67Ny5E4aGhliwYAGMjIxgZGREnKvKC7rKNS6hoaH4/fffUVxcjPz8fFy8eBHr168nC0QTExO4ubn95dG91NRUkr5mui1pmla7IK2M/Px8ch7qUlxVoVAoMHjwYBJ1FWLPOGJC+AhPnz4NU1NThISEaLSjaRo7d+5E9erV1bK7v379mtBXcHWvR0REkHvI5ZgFBweDoii14s1M1M7e3l7FWX7w4AHEYjEiIiI4FypFRUX/Edb+P4t/tFMlk8ng5+cHsVisloODwaFDhyCRSDBu3DiNNzorKws2NjZo2LChRlZzhUJBmHf5OFCuXbsGS0tLNGjQQG0EDVC2iTMcMj179iSRCa5agJMnT3K23p89e5blyLx9+xazZ88mPDiurq7YuXMnnj17BldXVzL5KRQK7Nu3D8OGDSOpSQcHByxatAiurq5o37494ZpJS0vDwoUL0alTJxJ+btWqFVmx9e7dGy9evEBBQQHi4+MRGBjIUh9v2LAhWXl6e3vj9evXuHz5MmJjYzF58mR0796dtHJX/piZmSEsLAzJycnIyMjA48eP8ezZM2RmZiI+Ph5aWlpwcXHB6tWr8erVq798ohU6WQiNqqlzwP/MsRnQNM0rc6QOrVq1gr29/Td3mH748IHUR30rFAoFwsLCBBcUc+HfcS2FRrWE2uXn53PWMSUmJmLXrl3k3c3Pz8fy5csJJYeVlRVmzJiBe/fuwdrammj7lZWVYfDgwZBKpYiNjcW1a9eQkJDA2n+/fv0QGBiI+vXrs57NM2fOAFAudhYuXAgjIyNUr14dERERKCoqwuPHj4msSkhICFq2bAmKUnJaubq6om/fvqhduzbrHZVKpbCxsUHPnj0RGBiIpUuXYu/evaxuurt372LKlCkq70lxcTHnQnP16tVo1aoVq7boyZMngskgGZmVb6kPLC4uRrt27eDg4MD5PdezFhcXxxkN47J99+4dhg0bxhqr1T2/b9680ZhO//jxI5ycnDjrqoqLi2FtbQ09PT3Obfft2weKUl/X6+3tDUNDQ87uz9jYWLU0EULfRaFUCT8Y1b+TUyWXy+Hn5ydIo+nQoUOYPHky74D67t07eHp68tIb0DSNiRMnYteuXbzHTkpKQr9+/XjD50VFRWjXrh327NnD+1BOnToV/fv35y3avHnzJiwtLREWFsZ6MUpKSliDGk3TsLGxQdeuXbF27VqWQ3ny5EmWIzp//nzUrl0bY8aMwZ49e4hjdurUKRw6dIj89sePH0NHRwcdOnTA9OnTceTIEWRnZ6O0tBSurq6s+h57e3tUr14dzs7OGDNmDKKionDs2DH4+PjAysoKa9asQXFxMUsglu9jYGCgNr3LnPOkSZN4Oy+LiooQHBwMPz8/jXYVFRVYuXIlGjVqxKsFmZqaCnt7e142YblcjoULF2LIkCG8z0ROTg7c3d3VimRXxubNm9VqgTVv3pxEBEpKShAcHCwo9Xj8+HE4OjrC09NTo93Xr18REhLC2XBx8OBB1nkeO3YMAQEBvOeen5+Pjh078ra3A0qtMh8fH957dOfOHdStWxc7duzQuBCTy+Wwt7dHQEAAL/P80qVLSW2QjY0NPDw8MGHCBEJNYGlpicjISKSlpcHExAT+/v64cOECOb5MJmMdo7y8HMOHD8fFixcBKKNalWvTaJqGjo4OYmJiMG/ePOIoc11Pxrlq3rw5qVlSKBTYunUrcXbevn2Lbdu2YejQoTAxMcHx48dx4MABUi/k5+eHiIgIjB49Gi4uLrC2toaWlhaGDx+OAwcOkC7Lpk2bYtKkSejXrx/s7e0J/YhIJFJxUFesWKESbXV3d4dUKlXbOFQZjB4ln1TOq1ev0K1bN5KCzsnJ4XSqaJqGv78/NmzYoPLdxYsXWRGdM2fOoGvXrpw0PHK5nNjm5eWhU6dOajtgK0t6TZs2TWXO+/Lli4qI/Y4dO7Br1y4cOXIEZmZmnPt98+YNybRwoXfv3mR8vHjxIqZNm0bmDXVz6Z07d+Di4qIxc1BSUoI1a9agdu3aLH4ymqZZJQBv377F0qVLYWNjI5gW48/iH+1U/S/ir15t0zQtOHIidNVQVlYm6HeqI9CTyWQqv//z58+c+zx//jxr4CwoKMCTJ0/w4MEDpKWl4fbt27h58yZJw5qZmcHX1xdr165F48aNUa9ePbUdYkI63FJSUtCkSRMYGRmpREOLiorItb148SJsbW2ho6ODuXPnqqyqmGv7+fNnhISEQCQSoUuXLhpZwj9+/IiePXtCW1sba9eu1XjNCwoKYGdnh4YNG/JKumRnZ6N69eqcdAxMUTeDM2fOgKIoQTI1U6dOhY2NDRYsWKDRTi6Xo2HDhggODubdZ2JiIrS0tBAdHa3Rrri4GF5eXpBKpbyO6okTJ1CrVi3UqVNHo75bdnY2xo8fDy0tLbRu3ZoIhWdnZ7OaS+RyObZu3Yp69epBR0cHkydPJl2DVfnOcnJycO7cOWzduhXz58+Hr68vunTpQiLJlVPi/v7+Gp+PqsjNzUWDBg3QoUMH8re8vDxQlLIhprKzEhMTo7b8QOjYIpfLWWPLjRs3VBYxpaWlWLJkCWdEq2PHjhg+fDhmzpyJdevWEbLkqg5s1d+zZcsWsh8m2qYJ06ZNg7a2Nm9xe25uLmxsbNCiRQuyAH748CGn4/bzzz+DojSTogLA/fv3UbduXTRu3Fhj5LioqAh9+/aFnp4eb5DA29sblpaWarv5GAQEBKB9+/agaRpBQUFq92dmZqaWLoG5nwqFAg4ODrxyWSkpKTAyMoK7uzsr0p2amopHjx7h69evWLFiBczNzSGVSjF58mQSwPj69StGjRqFJUuWYM+ePejRowdEIhGMjY0RFBSktnP3r8YPp+oHfgDKyff27dsqQsHOzs6oUaMGCVMzE8u9e/cglUo5OVw2bdqEiooKREREQCwWw93dXaVjrLy8HL169cLdu3cxYsQIkvbkKqI9f/48Vq5cicOHD6N27dowMTHBtm3bOCev1NRU0DSNK1euwMrKCvXq1eOtHfny5QucnZ1hZWUlKKLk6+uLOnXqCErv/fTTT7C1teW1A5QRzGbNmgniYVq1ahX09fV5o0WAUudSS0uLODXqIJPJMGHCBIhEIpIKURfJ+PDhAykEnjJlCkpKSrBp0yZOxzUjIwO9e/cGRVHo1asX1q9fDxcXF5XrV1ZWhtjYWFhaWkJXVxczZsyAtbW1xg4yBv7+/rC0tET37t0xZcoUxMXF4caNG2q7oWiaZkVFKioq4ObmBoqiMGTIEGJ3//594oD88ssv5O+JiYnQ19fHhg0b/nQN1P3793Hp0iW1Tn9JSQlu376N7du3Y9iwYTAzM4OZmZnGUgh1OH/+PCQSCaG50eQsMHj//j20tbUF3YdXr16R7nE+J4xZyDHdeerO//3793B0dESNGjWIIgDXfa2oqMCYMWMgFotJ3S1XWjkvLw/m5uYYNWqUxt+3b98+iMVifPnyRWM3erNmzXgL8nfu3AktLS1OUlTmvJOTk1GtWjUVYt5z586hWrVqGD16NExNTaGnp4dp06ax6EoePHiAZs2akWdVLBajb9+++O233wSLxP9V+OFUCcCjR48ErbQZrpof+N9BUVER+vTpAz09PZw6dQqBgYHIzs5Go0aN0KVLF5VBKz4+HlKpFG3btoVUKsXq1atVJh2FQoGRI0eCopQ0F/Xr18exY8fUTsjVq1cnzN6+vr5q0xB5eXmoU6cOpk+fDrFYjD59+mhk779w4QJKS0vh7u4OU1NTtRG5yrhy5QooiuLknOFC06ZNBUnJAEqW5zp16giyLSwshL6+PlatWsVrS9M0hg8fDhMTExUGcS5bhlZg9uzZiIqKUtuRRdM0tm/fDkNDQ9ja2sLExEQtuS+grFesTFzp7u7OOfGWlJQgJiaG1RaviZeI4boSgoqKCuzZswf29vYs4szKNAA//fQT+TsTaWTqsiqn9RjS2W7duqmMew8fPsT06dMFcQXJ5XI4OTmhQ4cOOHHiBK+T1qdPH4jFYgQHB6soHHBBoVAgOzsbT548gbGxMTp06EDOqXbt2oKcwokTJ6JOnTqCovHp6ekwMjLCwIEDIZfLNbKrMzQ+8+fPx6VLl9TKSjFdgtra2ti1axf69u3L6ejQNI3Zs2eDoigsW7YMUVFRnAs1Rr3g2LFjan/b+/fvQVGaO3FpmoaBgQHL4a6K4uJi1KlTh5OHq7S0FLGxsTh37hz09fXRv39/1kLmyJEjpFFAW1sbs2bNUhn/4uPjoaenR+6plpYWSWf/J/DDqeIATdO4e/cu5s2bh+bNm8PDw0NtTURFRQUuXLiAKVOmoHHjxrypg+LiYpw9exbh4eH/0krrB74/mBWglpYWtLS00KxZM9SqVUslTXb79m3Sgqyrq8sZbqZpmiXNIRaL1Ybrs7KyWJImw4YNU5uKpWma1Zq9aNEijZNFYWEhatSoAXd3dxgZGWls5QaUzQVlZWVo3bo13N3dBaVvX7x4AYqiOCV7uLBx40YYGxsLsgWUHFoNGzYUVLBfVFQEOzs7tGrVCmFhYWTFrw47duwg/DjOzs4aryUzWTMDOhfzPaB0HpiaKObTs2dPzpV0amqqSkpv0aJF/3LzxOfPn7Fy5UryPFUWo3737h1+/vlnwidUOVW6fft2Umy+efNmVhRx9erV5LcZGhqqkCUz7fRt2rTBunXrNDpAqamp5PgtW7bEnj171D7rd+/eJcetXr06li9frjEacfr0aYwZMwaNGzeGk5MTNm3ahKCgIGhra2PNmjWCorOvXr2CRCLB1q1bUVpaynsfLl26BB0dHXh7e6NBgwYanbFffvkFIpEIdevWhYuLi9p9y+VyFqWCpigbc2/09fXh4eHBuU8fHx+Ym5vj7du3autCmzdvrnFR9O7dO1AUxenElJaWIjs7G5GRkdDX1+csK1i+fDlMTU2hq6uLoUOHshaplYmzmXq5yosLmqYRHx+Pfv36wdfXF6GhoViwYAFWr14tmJLl34EfTlUlKBQKREZGEk00ptOMaxV469YtIv7I2HJx8igUCpw/fx7z5s1Dp06diC6RupUnU2iXkJCAFStWwM/PD8OHD/8mWZkf+GtRXl6ORYsWsV7wqtxGHz9+JBJDFKXkhlm5cqXKYLZkyRJQlJL5t2PHjggPD0dSUpKK3efPn0nnlra2Ntzc3LBkyRK1xJNV+cD69OmjkRR24cKFxHbGjBm8LO4TJ06Es7MzJBKJoPTc3bt3sWHDBhgYGAgqBgaUJH5isViw4/Dw4UNQFIUtW7bw1kwBSueHWdGOHDlSo+2+fftYdTya9A63bNnCkv6pWbMmp0QGTdN4+fIl9u3bh9DQUDg7O0NbWxt9+/blnHRzcnKQmJiI6OhojBw5Era2tpg3b943O1YKhQKLFi2Crq4u+Y1V9dV27NgBiUSCgwcPsuR48vPzkZ+fD4qiVNjBCwoKyPXs3LmzihNUUVHBigppa2tzFmczqEw027p1a1y5ckWtLdORR1EUiyeLCx4eHqS4n3l2d+3aBYlEonYbLvj5+aFx48bw9/fnbUQqKytjaTdu375dre2VK1dY3c1MZ2ZVVFRUYNq0aSxNUq7FAaNdWatWLWLHJbGUn58PCwsLmJubw9XVlfOYEydOhIODA/Lz81Wi3uXl5bhw4QIoiuJ0mK5fvw53d3dUq1aNs07y48ePhE1dKpVi+/bt5Bk6evQo+vfvjzlz5mD37t24c+fOd+ve+7P44VRVwYULF4gsh4GBgdrQbVlZGYvhdsSIEWoHu99++401IU+fPp3TlmltrTw5tmzZklPq4t69e4iJiUF4eDiCgoIwdOhQuLu7Y+rUqYLZgn9AOJ4+fUpScBSlZJJmnG2ZTIauXbuiYcOGmDVrFqlrqopbt24hLCwMiYmJaln4AeXgGRoaitDQUJw6dUqjLaCsSZFKpTA2NsbEiRPVHp9BYWEhOReRSISAgABep52RbzIxMcGMGTN4mxe6dOkCKysrtGnTBvv27eNNsZw8eRLh4eGkxoSPcb+8vBxr166FpaUlKIrCgAEDNNqXlZWRlCtFUdDR0dEYOfny5QtiYmIINYexsbHGa0TTNNLT0xEREYEWLVrAwcFB0CRQWlqKGzduCC4or9p1KwQ0TZPCaJFIxKkH5+TkhGHDhhH7qrC2tsaiRYtU/h4QEICYmBiIxWLORWVmZiZ51kxNTTUWCxcUFMDMzAxSqRQmJiYatRwfP34MqVSKFi1aoH79+moXG48fP2aNp5MmTUJ5eTn27t0LLS0ttfuvitTUVPj6+pL98EVfnz59ytKis7GxUZvsCqtWAAAgAElEQVTtePPmDQIDA1lyUOoiWwUFBVi2bBl5Lps2bcoZpcvNzUVERARZ9NetW5dVw8c8E5UjrFWdpqtXr2LWrFkQiURo0qSJCi1CREQE+vXrB6lUit9++02FW27VqlXk/IcPH67S2DBp0iTyvaurq0Yn+r8JP5yq/w+5XI7ly5dDR0eHODbqQqIPHjxA27Ztoa2tjTp16sDJyYnTkaFpGkePHoW1tTVZXYwePVrtBHPp0iUiXEtRFJydndXWSuTm5qqQ+YWFhXEOuBEREbCyskL9+vXRpEkT2NrawtHREb/++itrAM3JycHSpUuxbds2nDp1Crdv38bbt285X/A7d+7g5cuXvAN8YWGhoMmFpum/NdHbjRs3WKtofX19svp7+vQp7t2795fxWn3LfsrLyzFz5sxvKshcsGABKIpCly5deNN+gPK5qDw5CKkvrCx5pKnOiMG1a9eIvVQqFXQuu3btItsIGSuYdIGhoSEoip8fDlBe3x07dqB58+bw9fXltWfw+PFjTjLF742Kigr4+/tDS0sL69evh4+Pj4pzyAhZa0qJDhw4kNNxZRxTpjaIS+z2t99+g52dHbp16wYdHR3ExsaqfcZ37NiBY8eOwdPTE7q6uho7aw8cOIAPHz7A1tYWjRo14oweMeSUjRs3ZrXe79+/HxRFCX7XZDIZvLy8yPOmTiuvMmiaxv79+4njz1ca8vz5c/j6+kIkEmHNmjUabSsqKrBv3z44OTkhPDxcrd2XL18QHR0NCwsLlW7diooKcn0oilKh93n+/DmLUb1qNKpydNze3l7lWlaOJla9Xo8ePYJYLEa7du04I/X/zfjhVEFZ+9G5c2dIJBJERkZCJpNxFsDKZDIsXbqUOF4ZGRlYtWoV58v89OlTwiw9YsQIXLt2DX379lUpbKZpGhcuXCCTUJcuXeDs7Ixu3bqpRChomsa1a9cQEBAAQ0NDUoNgbGzMKdz57t077NixA0Oq6HW1adNGReJALpfj4cOHaNu2LcuWWWVUPce9e/eSNFbjxo3h4eGBiRMn4siRI6wXJDs7G2ZmZrC2tkbv3r0xbdo0xMXF4erVqyorp2HDhqFt27YICAjA+vXrcfnyZc6w/rlz5xAcHIzdu3fjxYsXal9IhUKBtLS0v+SFDQwMRI0aNUhhZ15eHrZv3/630nYTgsLCQrRq1QoHDhwQfF0OHDgAilJKSQgpDAb+T2vN0dFRUGSFpmkiU+Pm5iboGACItEqtWrUEb/Pq1Su4ubmhSZMmgu+fQqHA8ePHebmK/k74/PkzevbsCT09PeKcVB1Tnjx5glGjRqFly5Yqz0Pl/y9evBj16tVTeyyaphEQEAADAwPO4vRr165BLpdj/vz5JFrGlXJWKBSoqKiATCbDuHHjoKWlxcuSn52djcaNG8PGxoYVLSkoKED16tUxY8YMlYUd80x/y/tbUlJCeLImTZok+P35/PkzpkyZQugJ+PDw4UNMmDBBUGcrwwzPRx5bWlqKbdu2cRa3b9y4ERKJhFP/j1mAURSlsm1SUhL57tdff1XZtl69ehCJRJxF7PPmzcOJEyf+p5wpBv9op4qmacTFxaFatWqwtbXVuGp/8OABnJyciPo4M1FUfSiKi4sxd+5c6OjowNbWloiNlpeXq7zY58+fJ7plrq6upNjv4MGDrJV6Tk4Oli9fTuQEWrRogZiYGFy9ehUODg5ER08ul+PcuXOYOXMm0WTS0dGBu7s7mjZtSrqlZDIZMjMzsW/fPkybNg0uLi6EBZ1x1CiKQvfu3XHlyhUkJydjy5YtmDp1Knr37o0GDRqw7ChKqXS+dOlSHDlyBKtXr0ZISAj69u2L5s2bkzqyyquaRYsWYc+ePYiOjkZISAgGDhxIzq/yx9nZGVu3bsWJEyewc+dOrF69GnPnziWhcoqiYGFhgT59+iA6Ohrv3r1Dfn4+Pn36hKKiIgwaNAj16tVDaGgoLl68iK9fv3JGxDIyMtTyMxUXF2PAgAG8dRT/DXjz5s031yYEBQWhR48evGnIyujZsyfEYvE3NWMw6T8+nqrKUCgUhNpAaO0Ws92qVatYnFr/DvzVvHGMrExVpKWlsVJgb9++hZ2dHWrVqsWiSKiKefPmQVtbW4X4EVDWtTBRrVOnToGiKI3dpOXl5ejcuTPq16+v0fk+c+YMTE1NYWNjo1JeIZPJyPNJ0zQpdo+MjNR4LX18fNCoUSPY2toS0siEhATcvHmT0/7QoUOgKIrl8F+/fp0zKl9WVobCwkIoFAoUFBSgZcuW6NatG1JSUjBw4ECcPHmS7EfTAiItLY2lQMEHxuZbOAX/VVy4cAHW1tYqEeKSkhI0aNAAFEWpOG6vXr0CRSk5zKqe97t37yASiQi1Q9XfyXdOQs+lapPKixcvOLnjFArFD0Z1fCenqlevXpg2bRpvumHHjh1o27YtHjx4oNHuw4cPpEiZb/UwbNgwdO3alRWW5sKJEydQvXp1QmDGPEQFBQWs3y2TyWBiYoImTZpg8uTJOHXqFIkGzZ07l1U8O3HiRIjFYtjZ2WHcuHHYuHEjUlNTsWPHDrRp04Zw+ly9ehUUpewicXBwwMiRI7F48WL8+uuvMDAwQJs2bXD48GEoFAqSjjQzM4OzszO8vb0xd+5cuLi4QCQSwcvLC5cvXybRBS0tLVhZWcHZ2RlDhgzB8OHDybEmTJiAo0ePshwsbW1tmJubE11Dxgns3r07q0hc00dfXx9isRjNmzfHsGHDEBERgX379mHXrl3Q0dFBUFAQXr58iczMTHTs2BH37t3TqEF18uRJQfQCu3btwsyZM3kHi+TkZLi5ufGqrZeUlGDUqFGCyAvPnz+PkJAQ3oFMLpdj0qRJKiSDCxcuVHFYEhISOAdMBn369MHs2bMhk8mwePFiQSnDuLg4UBR3J1FlfP78GUuXLmWR/rVu3VpFpBtQ0hhoSqUw97WgoAA+Pj68xKeAktU8Ojqa914+fPgQ7dq1UyvFwYCmaXTu3Bnjxo1TcUKrHmP58uWQSqVo2bIlBg8ejPDwcOzcuRNbt26FtrY2/P398ccff+DWrVtwdHTEzp07Ua1aNbXH7tChAxo1asTpMO/atQu9evWCQqFATk4OQkJCSH3np0+fOLf58OEDunXrxmrj51qMvH37Fh07dlSJcNA0jZEjR7LGtfXr12PQoEEaywMaN26M6OhodOjQQZAiQHp6OqZOnUqcAUZejAu///47KErZqWtqaoqGDRvC0NAQffr0IbWyFhYWmD59OiwsLNCrVy/ExsayaCb27t3Lmg9++ukndOvWDQcPHmT9veqccfPmTTRq1AgxMTEsRY2q77JMJkPHjh0RExPDu7hYsmQJZ/ryxYsXrLqpxMREbN++HSdPnoS2traKvUKhgFQqRXBwsEpx/fHjx1UElvft24elS5dqfG8YBn5XV1fWtUhPTycOfXl5ORITEzFhwgSYm5sjJSUFqampGDp0KLS0tBAeHo7Y2FhMnToV/fr1Q/PmzSGVSjFp0iSN1+Wvwj/aqQKE66x9C7O4UB0voTUwlVdvfBCansnNzeXc5+vXr1kvbFlZmcrfAGXIvapG2IsXLzhD+jExMayBLicnB2/evFG5ngcOHGANHmVlZUhPT8ebN29QVFREjvXhwwe0aNECkZGRZLK+d+8ekpOTceHCBZw9exYJCQk4efIkunbtCopScuwwacXY2FjMmjULXl5eaNq0Kaubhhk8BwwYAAcHB0gkEvz8889q732XLl3g7e2t9jrTNE2kcdQ1KADKexwREQEtLS307dtXY0QgKysLjo6OMDIy4iW0vHr1KgwMDDB06FDe53f58uWQSCQqEduq956maTg6OmLQoEFq9zVt2jSUlJTg3r17oCiKt/AcUEbEDA0NeRstSkpKoK+vTwTQAeVzy9WVuGbNGkgkEt5C8I8fP6Jx48awt7fn7YRcuXIlRCIRxo8fr/Fdf/bsGXn+AgICyD2tuo1cLsf69evRtGlTUBQFFxcXHDp0CDKZDLNnz2altJ4+fYrt27dj9uzZGDBgAGckWCQSYdiwYbh58yYhRORyqIuLi6GjowNjY2POCA0TzeFySmUyGdzc3AQ5MLNnz0ZcXJzK39U5+d27d1fpiORzYGvUqAELCwvee8eF0tJStG3bVq1TlZubi4SEBOzZswfr1q3DwoUL4evri0GDBrGuu5aWFqytrdG2bVsiON+qVSuEh4fDwcEBDg4O5D1ISEhAr169IBKJYG5ujrCwMLx8+RIrVqxgUVO8ePECQUFBMDAwgJ6eHsaPH4+0tDQ8fvwY8+bNI9ewuLgYs2bNgo6ODho2bMiSa6paQ8fwsPF1kkZERKBGjRooKSlRW0/YrVs3dO7cGaNHj2b9verc8vvvv0MikSA0NJR1zMpjUnp6Ojp27AgtLS2EhISQxSyzkPj111/h6+tLiutbt26NUaNGsTpMmY+RkREcHR0xbNgwhIeHY9u2bYI40/4K/OOdqh/474MQnhhA+cKuW7cO9+/f12hfXl5OhKgpStkS365dO4wcORKhoaHQ0dFBu3bt8PjxY1y6dIlERHJyciASiVQiVTRNkxD31KlT1RZrv379Gk+fPiVRMalUinXr1qnVVQOUMg4WFhZo2rQpr+DxrVu3UL16dfTr14+XtDAtLQ3a2tqIjIzUaAcAly9fBkVRGruzmEhbbGwsqlWrJqgJYfLkyWjVqhWvHaAsnO7RowevnUwmg729vUb+HwbPnz+HmZkZevbsybswOnLkCPT09NC9e3dyb9Q1q+zduxfm5uaoWbMm4uLicOTIEc4on0KhwJkzZ9CnTx9QlLJjy8rKCnXr1tXolMpkMtbza2VlBVdXV7Rr1478jcvZSExMJN9XpVgAlPxOTAkB14TEOMF8BdhME8K4ceMEdSbPnDkTFKXs6BSyQFUoFKQcYf78+bz2lUHTNOnq69q16zdtu23bNnh5eWHZsmW4fPkyy5EoLS3FmTNnMGnSJFYUXSKRICIigryPL1++RHh4OMzNzSESiUhXX9UO20+fPmHt2rWEcNXe3h4URWHgwIGsiGFmZiZRaOjUqRNSUlLQokULlWjhli1boKWlhYCAALVafAyT/NatW9Uu1m/fvg0dHR2NlBHJycnQ1dVVadJSKBQYNWoUcnNzCVVE27ZtSb3v8+fPWY1bFEWhQ4cOWLlyJV68eIGnT58iJiYG48ePh4uLC6GQGDhw4H+0VuuHU/UD/3jI5XIcOXIEd+7c4SzkzMjIgIODA3R1ddGlSxe0atUKX79+xZYtWyCVSlXSILt370ZKSgq8vb0hkUhUNP8ApSPn7OyMkSNHwsjICLa2tmpXUgUFBfDw8MDu3bshlUrh4eGhtohVJpPhxo0bSE9Ph4mJCXr06MEbES0rK0OrVq3QoUMHQdFYLy8vtG/fntcOAEaOHInu3bsLsp0yZQratWsnyDY+Ph7a2toa5TMYpKSkQCQSIT4+ntf25s2b0NfXx5gxY1TEWavi1q1bsLCwQPPmzZGamoqxY8eqtS0sLERISAi0tLRQo0YNiMVijQSFT58+ZZG5GhgYqGW/lsvlOHnyJDIyMsjE/v79e9LlSFEUJy0L47xQFMX52y9dukS+t7W1VXGILl68SL6fPn262mdHoVCgbt26YJpk+Mg29+3bR/arifCWQUFBAbHX09NTS6/Ahcpt/3zcZf8qGG66yp+WLVuy6CUqKipUuOa6d++uErFWKBRITExkcVDZ2dmp8KKlpKSgY8eOxKZp06YqlAdHjx6Frq4uvLy88OjRI04OMR8fH9jZ2al1Uhieqqr3tKKiAo8fP8bdu3dRvXp1eHl5qdzHWbNmgaKUVBtGRkbYuHEjqZHavHkzifYxH3d3d97FYUFBAW7cuPHdpWkq44dT9QM/IADl5eUYNWoUecEHDx6M3r17o1+/fiy7wsJCmJubw8TEBAYGBkhMTOTcX0hICNmXj4+PxvRuZX6cynUgXIiPj0e7du1Qq1YtuLi4aNzvly9fcPz4ccycORMGBgYqPDRVQdM0/vjjD87onDrUr19fcOH5zJkz0aZNG0G2ubm50NLSUmHxVoegoCCYmpoiPz+fNxV58uRJaGlpYdq0abC3t9cYZXvz5g3s7OxI4wRfOpbhi2Lq+9TpMhYUFGDgwIFo1KgRkekQiURYtmyZoFV4UlISIdO0tLTkjGqGhISgU6dOsLOzw4wZM1QiFampqeS8AgICVIr65XI5i/Xd09NTbSSqMhN4rVq1NDYwVOaWcnR05CSurIznz5+Tes7g4GC171xVFBQUYPbs2eT6Vpbt+RaUlZXhypUriImJUXHyGcec+WRlZSErKwvv3r1jpeWYMgEvLy+0a9cO1tbWkEqlaNCggcrzmpiYCFdXVzRq1IgQupqamiI5OZlld+fOHdSsWZPlGDNF/AySk5NhbGyMGjVqwNjYWKW7laHbUFf3GxERgXr16qk8k9u2bUOfPn1Qq1YtdO3aVcXJWbt2Lfld2trarGfr7du3OHz4ME6cOIGEhAQkJSXh0qVLuHbtGquu7O+KH07VD/yAALx69Qru7u4sElexWKwS9p48eTL53tXVlZM89tdff2WtwNq0aaN2dX38+HFW6mDOnDlqnaqKigrSqWNgYKBCm1EV+/fvJ2kHTYzhDGbPno2goCDUr19fED8ZI2EhdJILCwuDnZ2dIFtAyYU1YsQIPHjwgDdNVFBQgFq1aqFLly7o2LGjRluapkknIkVp1jnMyspi1dbUr19frdD058+fER0dDQ8PD+jr65NUM18alykUv3XrFo4cOSJYX3TWrFlo2rQp3r9/rxKlYBAcHAwXFxfO7549e4bExERYW1urdThCQkIgFoshlUo11lelpqaSd4YvxSyXy2FjYwMHBwf07NlToy2grIfLy8tDs2bNMHv2bF77yjh//jwoSikWLeQdAP7Pifr555/RrVs36OnpQSKRcKZQ/wxomsanT580Rt5omkZeXh7S09ORlJTEei8fPXqELVu2YOzYsaS2zt7ensV9+OTJE5JupigKfn5+KsdwdnbGwIEDsWTJEuJ4f/nyBUVFRXBxcVGpp5LJZESVxMTERGWxduDAAZKuNTU1xbBhw7Br167/GXqFH04VBzIzM5Geno4bN27g3LlzOHHiBPbv34/Tp0//z9z4H/jX8OHDB4wcOZKsEGfNmkXqFe7cuUOcLisrK6xatUolNfj48WNUq1YNlpaWmDJlCm7evKn2mWJkJChKybK8Zs0ajdw1v/zyCxkcTUxMsHbtWo1Rlsr8ZZ6eniqr2MqoqKgg59avXz9eR2nFihXo3r07car46Cj27t2L8ePHo3Hjxli3bp1ax4TB9evXERQUhGrVqqFmzZq8tTpxcXFkYhGLxRrTho8ePULLli1Z0RJN7/2NGzcwbNgw0vAwZcoUjb8FUEY+L1++jIiICPj6+gpuMOHC5cuXsWnTJixevBihoaEYOXIkevbsifr16yMgIEDjtkJSrrNmzUK9evU4C8uvXr2KHTt2wN7eHo6OjmrTMzRNIyQkBFFRUZBIJLwO/6tXrwgPEl93NIOxY8eiS5cugmwZDBkyBM7OzgAgmHz48+fP8PHxYS2MuFL8fzcUFBQgISEBp06dIn8rKSlBbGwsq+6rctTo6tWrGDNmDHGCGOf89evXcHR0hI6ODubNm8cSgt65cyfZV7Vq1RAdHU2enVu3bqF///5YsWIF7t2791/H8ycEP5wqDvz6668qPExck05hYSEGDx4MT09PDB06FKNHj0ZgYCCmTZum4p2/ePFCEAP5D/z9UTl03bhxY5SWlkKhUMDZ2RlNmjTB1q1bOduaFQoF1q1bh4sXLwoawEePHk0cGL7Bp6ysDHXr1oVEIsGUKVPUMvEzKC4uJtGSxo0b81KFPH/+nJxzjRo1eKMrW7duJfaaZDcYLFu2jNjb29trtAWUjkzlqCGfE/bp0ydCSEpRlEambkDpRC5btoxQd3Bx31TF69evMXPmTNSoUUNtWk8d/sxi7d69eyxdPx0dHaxbtw5isVilrb0q5syZwxsdZASMuRoTFAoFFAoFHj16BD09PRXW7sqQy+WQy+VwdXVF06ZNee8ZTdPo2rUrOnXqJOj6xMXFQVdXV3D39fv37yGRSATV2jGQy+X45ZdfWGm1tWvXatzm999/x6pVq7Bz5078/vvvuHnzJp4/f45Pnz79bRbpFRUViI+Ph42NDezs7Mg89fbtW1aKl+H9YvQgmbQ041TJ5XJSTD9q1CgVipK/y/n+O/HDqaqEBw8eYO7cuWjUqBF5YKRSKaesQl5eHn777TfCsMt8nJycOFdhDx48gI6ODsRiMaytreHm5oaxY8ciNjaWNQgoFArMnTsXmzZtQlpamsbJ9+3bt7wDE/B/3Wh/d/w3/EZA2VLPPBuMM5KSkoLffvvtL5PaKS4u5hTlVYf169ejf//+vM4Og8OHD4OilMLLQpibmaiBjo6OSu2Gpv1TFKW2wLoy/vjjD2IfFhYm6Bxmz55NtuHj9QKU0SFG/y8kJETQMV6+fIk+ffrAw8NDkD2g5M3i49r6M3j9+jVomsbVq1fh5+dHnGOKUgp5p6am4syZM6AoijdCuHDhQrVUAgxomkbTpk0RGhqq0W7Tpk0QiUSE8Fgd3rx5A2NjYwQGBmq0k8vluH79OiiK0ljUz4AR2FYnSFwVixcvhomJiWCt1JSUFDg5OUFLSwuhoaFYsGABb7dhSUkJjhw5wloAMJHsnTt3qiyWtm3bhgsXLvzHCq3lcjkOHTrEig6mpqYSp53p9CwvLyfnUvk+7t27Fw4ODv92Ul0ulJeX4+rVqypyO98b/3in6tmzZ4iMjCThfiYt4+3tjZYtWxL9ruLiYpw5cwYzZ86Eg4MDRCIRRCIRaW1luhdkMhlevXqF06dPY8WKFRg7dizatWtHGMuZj6mpKRYvXoxHjx4hLS0NFy9exOHDhxEXF8fKcRsaGqJbt24IDw8nThbjfDx8+BD6+vrw9PREXFwccnJyOCMacrkcnp6eiIqKIvl5dZGPzZs3Izo6moR51TlkT548QWBgIFJSUsj3XPtkWpbXrl1LIn3qjr1x40YEBATg8uXLUCgUao/95s0beHt7IzExkTgx6vYZFRWFy5cvk/2oc9y+ZdXIRFWEaMd9Lzx+/Pib7H18fFg8N3xgUot8kQ8GTFdQ165dBV9XRrRZkwZdZZSWlpJthDiGgPI5mTlzJpo3by7IHlA+M4cPH+YVnf4zEHqNcnJyYGdnR9QHWrVqhbVr12LTpk1o1qwZecfCwsLQqFEj1rZcUfKoqChYW1vzHnf+/PmwsLDQuGigaRr9+/eHlZWVSqS0qpPAyMRocrgZfixPT0/Y29vzPqsKhQLGxsZo2bIl3+lAJpPBysoK06ZNU/muaqTr48ePGDduHChKySHGdOm+e/eOdd9omsbTp0+xa9cuTJw4EY6OjqTQn8l8VKtWDUuWLEFBQQE+fvyIzMxMZGRkICUlBefPn0dAQABZsLm5uWHBggW4dOmSSuT79evXOHnyJOuaqHuGqj63/8rilblfleXbtLW1YWJiwkpdX758+ZsWluoaaSr/xsLCQqxZs0ZFkFkmkyElJQVRUVHo2bMnWVxMmDABly9fxq1bt/Do0SO8fv0aubm536S48Gfwj3eq3N3dUbNmTUyYMAGXLl0iD8T58+dZK5gdO3aAopStqcHBwTh8+DDy8/Nx//59+Pr6kge3rKyM1FaYm5uja9eumDx5MjZu3AgnJyeYm5sjJiYGRUVFKnl55qUzNTUl/zcwMCC1KVU/VVOUIpEIEokEUqkUlpaWsLGxQdu2bdG9e3fSHSMSieDm5obu3bvDwMAA1tbWaNOmDXr27Alvb28iGioWi0num2Eyb9GiBVxcXDBo0CCMHz+epEYY2ZwGDRrA0NAQdevWhZ2dHVxcXODl5UVqWSQSCfr374+hQ4dCR0cHpqamaNSoERwcHODm5sYS4a1fvz6Cg4MhFothZmYGGxsbdOjQAX379oWvry+MjIxAUUoun3nz5hFJDjs7O/Ts2ROjR4/G7NmzScrH1tYW69atw7Jly9CwYUMMHjwYkZGROHXqFN69e4ekpCR06dKFRGFev36NsLAwzoE8MjISXbp0gVwux+vXrzVytDDIzc3FL7/8wkviWlRUhJ9++kkQVcCyZcs0ckUxePr0KZYuXUrOhaZpnDt3jtN25cqVnOznc+bMYRUYp6SkaEyh3bt3DyKRCHfv3sWWLVs4W/qrgom68KVvvnz5gu3btyM/Px+pqakQi8Vq053Xrl3jnLjXrl3L+k2fPn3C/PnzedOUgDKawNflByhT/r6+voIcvh49emDAgAHYvHkz6/ofPHiQFY2eOHEiKIrC0KFDWeoKb968gYeHB3bu3AlAuUBZsmQJ6xgbN25UKUv4/fffWVG7nJwczt/76NEjDBkyhNXiz9WEkZubi3bt2ql09509e1aFPd3f3x8xMTHcFwRAnTp1kJqairS0NPTq1Ys3pQ0AI0aMgEgk4u0S+/DhAzw9PVnM74Aycld12/j4eFhaWmLv3r0aHRKZTEaK1p2cnDB58mTs2bMHz58/R9++fREcHEzmiQkTJnCO6VU/ZmZm0NHRQZMmTeDp6YlJkyYRglA9PT00adIEsbGx+Pr1K1q1agUnJyeMGzcOa9aswYULF5CXl4cRI0bA39+fRL6XLFmCzp07IyoqCunp6eScrl+/zqIQefHiBUaOHIm8vDzQNI05c+Zg6tSp5HsTExNs3LgRy5cvZxHv0jTNSvt9+vQJ8fHx6NWrF5YtWwZAOc4tWbIEo0aNgkwmQ0ZGBuLj4xESEoKOHTvC3t4ed+7cQUBAAPT09KCnp4dly5ZhypQpGDZsGDp37gwrKyuIxWKYmJgIupZBQUEan4m/Cv94pyorK0tQDl5dFwbX6i81NVWFXwTvYIcAACAASURBVISmacTHx7MctYyMDFy9ehWPHj1CTk4OGdB//vlnuLi4YMeOHfj69StycnJw9OhRHD58GAcPHsSBAwewf/9+Em4XiURo164dFi1ahOjoaGzZsgWrVq3CggULMHXqVPj7+6N27drk4dLS0kLz5s3Ru3dvREREYPr06fDz84OnpydxgCp/mjRpgmnTpmHu3LmYMGEChgwZAjc3NxU7IyMj+Pr6YtmyZQgLC0NQUBBGjBhBCO0qDxTu7u5YunQpIiMjMXPmTAQGBqrss2bNmnBycsKUKVOwYMEChISEwMfHB71791ZhQa9RowYGDhyImTNnYsyYMfDw8EDr1q1VIoRSqZQ4kXXq1GFtz/zbw8MDGzZsgEQi4UxFMeRzgLL9XkikZNOmTdDV1dXI+FxRUYFevXoJ6giLiooCRVHYsmWLRruioiK0aNECDg4OvCkFJmXE1cV05swZ1oQyYMAAtV1jgLLQ2N/fHy9evABFUbhy5YrGYwNKQk9TU1Neu7y8PFaUY+7cuWqL7ENDQ1G7dm21NW4Mnj59Cj09PcybN0/jsWmaxvDhw1G9enVOp6IyGKLWBg0a8BZmx8bGonfv3iTNYmtri+nTp5OCc0aOaMqUKaAoijhPldG7d28YGxurldo5cuQIrKysNFJnlJaWwtHRURBT+owZMzgpHrgcj5ycHIjFYhw5ckSjXWVYWFigRYsW3xRhYJwVISnnqli4cKFKdA9QPidCmdrv37/PmU6sulB58OABzp07h5SUFGRkZCAzMxMfP37E6tWrUbNmTQQHByM5ORlZWVnYvHkz5syZA29vb3To0IE1ljMfY2NjeHh4wM/PD66urixHQyqVgqKU1AVBQUHYu3cvRo0aRerC6tatiwkTJmDmzJkwNDTE5s2boVAokJKSgtq1a6NOnTq4cuUK/Pz8sHz5cnIOXl5epCidiWDn5uaiX79++OWXX3DgwAEMHDgQUqkUEokEnp6eOHbsGDZs2ABzc3OSsWEW59ra2mjTpg3c3d1J92DVlGnbtm3Rv39/BAcH4+eff8a2bdvw9u1bJCUlYdy4cTAyMkJMTAzevXuHZ8+eIS0tDdevX0dSUhJv3ehfhe/qVFEU1YuiqD8oinpOUdQcPvt/KqWCkBUZAFy5cgXx8fEq3CJVkZOTg549e2Lu3LlITEzUOED4+PjA3d0d4eHhOHHihNp9//bbb2jdujUmTJiA+Ph4PHnyhDOqk5+fDxcXFwQFBWH37t3IzMxUO5jOmjULo0ePRlxcHJ48eaLWLjExEY6OjggJCcG+ffvw6tUrTtvi4mLY2NigdevWGDduHDZs2ICUlBTWoJebm4ukpCT07t1b5SV2cHDgdFwqd/Q9e/YMFEXx6ru5urpqFLZl2IU1cRcxYAgLNWnaAcpJy9vbGzVq1OCtzyovL4eNjY0K7xYXPnz4AIlEolH7r7i4GNnZ2aS2SkjNU2BgoGBKhebNm2PmzJkAlNFhdQ7j69evIZFIsHXrVt59rlmzBmKxmNcBKi0tRefOnVGnTh1ercDs7Gy4ublBR0cHmzdvBk3TGnUQS0pKcObMGfz0009Etob5eHt7w8zMDBRF4aefflLZlikb8PT05Hwf3r59SyanqhGayhg8eDCMjIx4dSUZ8s/Ro0cLcnwsLCygra2NkydP8toy9hQlnCW9oqKCOAp89V9VsXjxYlAUheHDh3/TdpWPLSTKyQch9CDA/y3mjI2N0blzZwQFBWH9+vW4cuUKKZt4+/Ytjh07xiKBpSiKdOx9/foVN27cwLx588hYx3xcXV3x9OlTfPz4EX369IFYLIaXlxd8xWIUGhmBFolQUqsWxmhrk0hnUlISLC0tSUZES0sL3bp1Q1xcHHJzc7F3714VZ0lPTw+bN2/GnTt3yPUrKyvDnTt3sHXrVkycOBEdOnSAvr6+oFo5RtrsP4nv5lRRFCWmKOoFRVENKYrSoSgqnaIoW03b/FOdqv8UaJoWnA8XavfvKD4XWgdUXFwsqOCzpKQE06ZNw4IFC7BlyxacOnUKd+/exYcPHxAeHg6xWEwiNVXTcnK5HDo6OhodjKysLIhEIk45D6aQeMaMGZBIJEhISODcR0ZGBsrLy7FhwwZQFMVaMVYFc33WrFkDkUikdp+VsWLFCkilUpW6BS6sWrUKBgYGnIK6VTFv3jw0btyY1w5QEnRqin5VRkBAADp06CDIdsyYMWjatCnvM6tQKNClSxdB0ZG8vDw0bdqUaAVqilTKZDLCe+Xj4wNvb29BEwRXgTPz4aIO6Nu3L/l+9+7dKt/TNE0cldq1a6t1rHbt2kUi2qtWrVL7DldUVBAdtk6dOvEu7piFi46OjiDuMiaaIZFINJKFMkhISCDnL6SuikFlQtbo6GjB2wHKeqslS5bAx8fnu9IDpKenIysri3d8vX79OhYsWICtW7fizJkzePjwIeei+vXr1yoRMF1dXURHR6O8vBwrV66Ej0iEIopSugP//1NMUciKjmax81OUsoylcmSooqICz549w5UrV3Dw4EGsX78e4eHhGDduHJKSknjPVy6X/1trGv9KfE+nqgNFUYmV/h9GUVSYpm1+OFU/8J8GTdMYOXIkDA0NERcXh1mzZqnYtGzZUiPp4OrVqzmFghUKBZycnBAREQGKojR2rXh4eJAavEWLFmn8zeHh4bh06RIkEgkWL16s0fb9+/d4//49qlWrhrlz52q0BZTXo1WrVholWSqDoRsRgokTJwrmGWJkaoR0bjFdYYcOHeLthH3+/Dn09fURFhaG+/fva6zNYbQCe/XqBV9fX43RHwA4deoUScvUqFFDowQOoHS437x5g/fv3+Pjx49YuHAh3NzcYG5ujrZt26pM4p6enpBIJLC2tkZERARnaUK/fv2IYzN48GBOxzgvL4+VXp8yZYraa+bt7U3smjZtqpGosjKhqoeHB29norm5ObS1tdGxY0dOCZWqiImJQb9+/VCtWjX069eP18kDlFHvyiUPfJ2LDG7fvo0xY8ZAKpVCT0+PV43g746cnBw8efIET58+xfPnz/Hy5Uu8evUKb968Ie9YmYUFy6FiPp+MjTFu3DhMnjwZs2fPxqJFi7By5cp/awfs3xnf06kaQlHU1kr/96UoKpbDLpCiqNsURd2uV6/ed7gEP/ADmlFWVgZnZ2dQ/79urOpKb8iQIejfvz8AdmQuOzsbWVlZcHZ25lR5P3LkCBnMNTllycnJxK5Xr14a0ww5OTmQSCTQ1dWFp6cn7+q5ffv28PLyQp06dXjpOc6dO0dkK/hoFZiokJWVlUrBtDpMmjQJnTp1EmTLpF2Tk5N5i/8BZQ2Yk5MT1q9fz1s0v379emhpaaFly5a8pI7Xrl0jDkhwcLBG2yNHjrBq91xdXb+ZgsPPzw89evRAWVmZitO0c+dOrFu3Drq6umqvyeLFi0n3sia5HldXV2hra2tkiAeUOn1MzQ4f99fBgweJHp0QmaP4+Hj4+/ujbdu2vLYMli9fDmbeEHpt/f39UadOHVhYWPA2iFRUVLDEqymKwurVq3mPoVAokJmZid9//x3R0dGIjo7+r+MspDkcKlAUIBL9p3/a3wrf06kayuFUrde0zY9I1Q/8HbBnzx5oa2tzDqK3b9/GjBkz0KBBAwQGBrImoFu3bqF+/fqgKGUrcuXVLE3TcHJyIvtUR8BJ0zRcXFyIna2trUaG6ejoaGJbt25djfQEjIwMM8HzcQGNHj0apqamqFWrFi5duqQxtXrx4kVSVL1r1y7ewvtDhw5h3LhxcHZ2xr59+zTWlXz9+hUZGRkwMzNDnz59eOtnHj16hLlz55JaD03Xr7CwEIGBgaSzVlMdXHFxMemWZdIlmljpaZpGamoqgoODSdqMT7KlKjw8PFRkQSojKytLo4Pz4MEDFBUVwcHBAb169VK7n40bN+LKlSswMjLSeH0LCgqwevVqeHt7o3bt2hrToNnZ2cjPz8ewYcNgY2MjyKk4evQoKIpSK7NTFQsWLECzZs0E2QLKZ0NLSws7duzA3bt3BW1z+PBhQpXQqVMnjc7b1atX4eTkxBIHbtu27Z9i0P8eUCgUKC8vR1FREblP5ZaWnE7Vlxo1MGHCBISHhyMmJgbx8fE4efKkoJTt/yJ+pP9+4AcEICMjAx06dABFUbC2tiYDTWxsLBkszc3NWdtcunSJfGdkZMTSbDt79iyZiBcvXqzWQUlMTARFKUVoN2/erHEiYkgaGYeKL/y+f/9+8vvat2/P2yDh6elJ7CdMmKDR9smTJ8RWJBLxFo/+9NNPxJ4vWkXTNIt0t3KbNxc+ffqE1q1bE3u+jskrV66QgvBq1apprK9SKBSIi4sjThJfapZBaWkpfv31V3h6ehKWaiFo1aqVRtZyAHBycuKVp2GeP3VM8UyEk6GS0eSI0jSN3Nxc1KpVS1Ba+PHjx8SR4cPXr18hlUoFNRoA3ybKDSg7Tlu0aCEoqkXTNCIjI0FRFMaPH49GjRrxLhZu376Nxo0bk2evW7duahuFEhISUK9ePVhZWcHS0hIWFhYwNzfnpPoQGuW6f/8+Ll68iCdPnmjk4ktKSoKxsTGkUimp45NIJIiMjIRMJsOxY8cwWixWrakSiZASGoqFCxeyKH4kEonK+FNRUYEPHz7g0aNHuHLlCo4dO4bt27cL4qUrKyvT2OABKO9PQUEB0tPTBVHS/LvwPZ0qCUVRLymKakD9X6F6C03b/KecKpqmkZiY+B+9MT/w94NCoUBsbCwMDQ1x4MABAMoid6agtqpQ7+nTp8kgs3//ftZ3bm5u6NevH16+fKn2eEyUKjw8XFD3HJMmHDFihCA196CgIFAUhZ49ewpi5mdSN23atOFtAPjy5Qs59xEjRvDumxG2pSgKUVFRvPa3b98mg7gQR+b9+/eEq02dOHBlvH79mhD7ChHKzc7OxogRI2BmZiaYoZvBt1AGmJqa8sqiLF68GObm5ryp3x49esDR0VGjHU3T6Nu3Lxo2bMjbmHDw4EFQFCWoMcLPzw/169fn7Zj7/PkzevXqhQEDBvDuE1CmkDt37gwAvL/3xo0bgtKWgNIJ9vHxgZaWFtasWQOapgkxNBeuX79OCvPbtGkDXV1dDBo0iPNey+VyJCcnY8aMGaxOvXr16qkt4o6KikKDBg3g4eGB0NBQxMbG4uzZs4Rtn8Eff/xBKAsoStlt16BBAyxevBhlZWWoqKjA2bNnERQUxDp2y5YtcffuXSgUCixcuBAURcHCwgITDA3xydiYdP+NpChs3LgRgJJ2pbJ8j4WFBWbPno0nT56goqICMTExhF+Q+ejo6JCORQYJCQmYP38+Ro0aRfioRCKRynP/6tUrBAUFoXv37rCxsSHkn507d/7LlC3+FXw3p0p5LKoPRVFPKWUX4Fw+++/pVMlkMhQVFSEvLw9ZWVkYM2YMxGIxOnTogPnz5yM5OZkzJZGcnIz58+cT3iJ1qEqI9gP/OiqzyvNBiLPwrXj79i2ioqLIb2BSblXrpg4dOgSKUlV+z8rKwokTJ3iPk5eXp7HwtypCQkKwe/duwdemefPmGDp0qOBJvVmzZjA2NtboCFaGoaEhxGKxIOmcyp1kfPxPDMaOHQuK4tdeY/DkyRPUrFkTXl5eguyLioowZMgQ3qhcZZw+fVpQZ9u/AkYahK8eKS0tDRRF8VJz3LlzBxRFqZByVkVWVhaMjY0xadIk3t84ZMgQ1KlTh3MRULkwPzMzE9ra2rwF6IsWLUJUVBT09fUFdfKOHTsWHh4eePTokcboFk3TcHV1FaQrmJ2dDWdnZ1SvXp3XYUxOTiZkzc7Ozjh16hRomsaMGTNY0aWioiIcPXoUfn5+hOy5YcOG6Nq1KyhKKf3CXMNPnz7h1q1b2L9/PxYvXgxfX1+0a9eO5ZyIRCJ4eXlh8+bNWLNmDXx9fWFra6vSPdq+fXskJCTg6NGj8PX1Je+cnZ0dBgwYAJFIhFmzZqGsrAxfvnzBgAEDIBaLMX/+fHh5ebHIhpcuXYo5c+ZAV1cXDx8+BKBcjDg7O2PevHkIDw8nHYUdO3bE1q1bkZmZidDQUJI+ZT4mJibo3bs3Fi1ahFOnTmHFihUsHkGKUvIburm5YdKkSdiwYQMuXbqE9PR0BAcHs8ozmEi9p6cnwsPDceDAATx+/Pi7OVrf1an61s/3cKqGDh2qQiSp7qOrq4umTZvC1dUVAwcOxLhx4xAaGsqqS9m+fTtsbW3Ru3dvTJs2DVu3bsX169dRWFiIrl27IjAwkExK/4+97wyLItu6rg7kjChBUYyAoiiKOaIDiuIYMQtGFEcxYE4YAGUwIDgoKooKo45ZGNOYxoARzKgIIqggEgXJXev70W+dS1HdVXW/O/e+YVzP0z+0D9XV1VXn7LP32mutWLECQ4YMwebNm3H79m2yazt06BBrYr5//z569+6N4OBgJCcnk0ng48ePLE0dmqYxcOBA+Pv748aNG6yHuK72zs8//4yxY8ciLi6OxYN49uwZa5F99eoVevTogcDAQNZnFxQUcI45dOhQTJ06FXFxcaz21wMHDrAm2fDwcAwYMABr167FxYsXyXtnz57F3r17yc3//v17ODg4wNvbGxEREbh37x7Ky8vx7ds3DBw4kFU2GT58ONzc3LB48WIcPnwYz549Q1VVFWbNmoVFixYRrktcXBwmTZqEK1eusHboddPp+fn5WL58Oe9OmqZpFBcXIyYmBiYmJli7di3r/YMHD6JFixb4+vUrcnNzcfz4ccHsQU5ODhYuXCioVUPTNEJDQ1m7ZXXdTp8+fcL+/ftZi8fnz5/h4+PDmWgOHjyotgxobm5OdvUvXrwQ9Peys7PD1KlTce7cOVEcksGDB8PCwkJwkSstLUV8fDxSU1Ohr6+vUgiTwbNnz3Dnzh3y78TERJXloZKSEs41ApTXec+ePaz/T0hIENXtlZmZibi4OMFxgFIJfMqUKYiLi2P9jkePHiXPR0FBAVxdXVncH1Vkc5qm0b9/f1YAkJqaqnJR8fLyYvG6vnz5ojLTdvDgQXTv3p01Nzx48IDDofr8+TNatWrFuuYMli5dyrpn/Pz8VHbT1oanpydmz56Nbt26iQrmN23ahNWrV2PUqFFYs2aN2nEFBQVwcnJSKUpb9/+2b9+OZs2asVTDVSE/Px/a2tro0aMHLl68yLGwqQ3Gg7Jz584IDAzE8+fPQdM0YmNjWXN/7QyuVCpF06ZN4erqijlz5kBHRweampqYPn06UlJSSMna2NgY/fv3x5IlS3D06FEMGTIErVu3xunTp0HTNMlQd+3aFSEhIeRejo+PZ333EydOwMzMDNeuXcOXL19w4MABljVXy5YtceHCBXTr1g179uwh/19ZWUn4oTU1Nfj9998xatQoaGhoYMaMGQCUGbRhw4Zh1KhRSExMxLZt2+Dp6Qlra2tQlFL4uby8HLt27ULjxo2ho6OD0NBQwrusnVX7448/8O7dO0yfPh0ymQxLlizBxo0bMXr0aNja2pKMttiO5X8Vf/ug6o8//sChQ4fw22+/4dy5c7h06RL+/PNPQlbt3bs3wsPDcePGDfz8889Yvnw5fHx8MHr0aAwYMADt2rXjBF9GRkbo2bMn2rdvz3KPZ6JzmUwGLy8vhIaGEhVpJmjr3bs3EfHz8PDAmzdv8PjxY0yYMIGMs7CwgLe3N/bv3w+ZTIaFCxeitLQUFRUVWLBgATGENjU1xcSJE3Hs2DH06dMHXl5epCwUGxuLPn36QCqVQi6Xw8XFBdu2bcPGjRvRpk0b4jqekpKCyZMnkwfWysoK06ZNw9GjR6GtrY3Fixfj27dvoGkaq1evRteuXUmQ6uDgAD8/P/Tq1QuWlpb49ddfQdM0EhISMH78eFKOkUqlcHR0JKTf9u3b49q1a8jKyoK/vz/69OlDlNHlcjk6dOhA/j1q1Ci8fv0a4eHhGD9+PNq0aUM+n7HCoSil3c/y5ctx8OBBdOzYkaTXV61ahdTUVPz222/YtGkTCXpu3rwJPT099O/fn7cMfPfuXcIxqiuJsG/fPty/fx+AMoA2NTXlLUncu3cPDRs2hI2NDa9YZ1VVFaZNmwaJRCLINVEoFOjfvz+aNm3KytqVlpZyJnqmHKIqE0LTNEttfPr06Wjfvj3vZw8aNAhPnjwBRYkzxP3hhx9gaWkpOC4jIwMUpfQIDAoK4s36jRkzhqNndfHiRU5we+vWLVAUJSh4WV1dDXt7e1HZrq1bt0Iul4siQG/cuBHdu3cnmQVHR0f4+/vDzc0NVlZW+O2331QGm5s3b8bixYsFg/V79+7B3d2dw+epe8ySkhL07t2bI3egSsPu2bNnaNu2LWesuozA1q1bYWZmRrTQxGRUu3TpAn19fY5DBR+SkpJAURSmTZvGO05VAL1y5UosWrSI8/9iqSBv374V9b1SU1NFVS4KCgoQHx+PV69esTZ479+/x5IlS1jHuH79OtLS0jiff/nyZdZv8u7dO0E5CwZM0Hz37l1oaWmxvD8Z67LaQTjfd/ry5QtHRkRVoPrhwwdWd3FlZSX27t3LOmeappGZmYnz58+zAvu3b99yeILfvn3D/fv3ecu1fyX+9kGVOpw+fVqUX9kvv/yC1q1bY9q0adi3bx9SUlJYE1xNTQ3S0tJw7Ngx0npcO/gKDg5GRUUFXr16hT179sDLy4vVdq2hoQF/f38UFRVBoVDg/v37WL9+Pbp168ZK7da2sqBpGi9fvsTmzZvRo0cPFoHQ0tKStQjl5eXh0KFD8PT0ZEX/MpkMy5cvJztT5rMDAgLQuXNn1jFbtGjBIiUWFxfj7Nmz8PPzI0bVzKt///4sC4wPHz7g6NGj8PPzI0EW8xo+fDiZgBUKBVJSUnDo0CFMnjyZNU4mk2HmzJnkgS4vL8ejR48QHR1NgkHmZWBggDVr1iAxMRGLFi0ifChG6XfIkCEkU/Pw4UOYm5ujbdu2ZDKoO2EpFApYWlpiyZIlHDI2E0AVFBTAwMAAGzZs4Nw/TOv7vn37oKmpiQEDBqhcQJjPLSwshIuLC3R1dUVZcQQFBUEulwuSoRUKBZydndGnTx+Vi4JCoSDZvKqqKpiamiIoKIj3mHfv3iUlJjGGz7Nnz4atra3gOJqmYWxsjLCwMJSXl/MKliYkJICiKEENKQAYOHAgOnXqJLgoMiKTQqKFNTU16NGjB9q2bSu6xJqfn49GjRqhe/fuHEV1d3d3Trbm6dOnoCgKI0eO5OVyKRQKNGjQAG3btmU1TKjC4MGDYWlpKXjP0DQNc3NzNG7cWNTvy0iI2NnZiTbAZp5PMRpqDBgRVL7uxrqoqqqCl5eXqMC6LqqrqwVV+P834fnz56w5+uPHj0QpvfY8z3CYapffjx07hnHjxolaO/+v4ntQ9S9CTJ0fAK5evYrg4GAcOXIE9+/fx5cvX1RO3s+fP4e1tTVsbGzg6OhITIkXL17MmohqampY3VjMa8KECZy27j179nDGTZo0iVPmyczMZAV0FKVs4a87uTL+Z3WPOXPmTM6O7tixY5wSqoWFBX755RdW8Pnp0yc4OjrC3t4e3bt3x+DBgzFx4kT4+/tzdlUBAQEYMmQIpk2bhhUrVmDHjh04evQoyQoxSEpKwrRp0xAQEIC9e/fi4sWLePHiBasUyXS21G55bty4MeGjpKenw9bWFo0aNcKzZ8+wdetWTqnQx8cHjo6OnN+Swfr162FoaMhZSE6fPo2wsDDMnj0bFEVhyZIlKrt6GDPT9PR02Nvbw9LSUtQkfufOHchkMl71dQbR0dGQSqW82kUMGAK+EI8Q+AevTMxzsnTpUt7rWBt9+vTB1KlTBcdVV1fD3Nxc0NMPUJbZKUoccdnd3R0ODg6CXVipqalETFQsNm/eDIqiYGtry+HE6OvrIywsjGQeaJom3ppdunThFbz09vYGRSm7VPn4VlFRUaAopWeckE4XI/5pamqqsuRXG0yAzWyuhErcZWVlrM2QGPuuO3fukL8Ra3n09etX/PDDDyS7LUb3DFA2GERFRaF58+aiVMH/p+PZs2cYPXo0HBwcyG9TXl7O4m8x/Mjq6mpWcoC572pqatCqVSsYGhoiLCzsf50W11+B70HV/1J8/foVjx49wpMnT/DixQu8fv0aaWlpyMzMZC3eNE3jwoULOH36NE6dOoVTp07h5MmTOHHiBIt0CCgfKmYcM+b48eM4deoUa1EsKSnBrVu3kJiYiHv37uHhw4dISkrC48ePOTuU3Nxc5Ofno6ys7N9iWfNX4MSJExg6dCh69uyJNm3awMrKCkZGRggLCwNN08jLy0OPHj1gaGgIExMTbN26lfX3TOaibsmOpml8/foVpqamnJ12Tk4O6tevD7lcDl1dXdJNqAqHDh0CRSmJmu3atRMkr58+fRp5eXlo0qQJXF1deUtDRUVFKCoqQoMGDUS7uHt7e6NTp06ixoaEhIgq6QHA6tWrYW9vL2rsvHnzIHZ+WLhwIZo0aSLKRuTHH39Eu3btoFAoeMenpKRALpcjMjISVVVVvJmoiIgISKVS3L17l5TV+ZCXl0doA4xPW1FRkdoFatq0aWSBa9q0qVruEdOdx2xuapsb10Z2djYrE71s2TK1z+7evXtZgQ+fKGx+fj4Za2dnh3379vFeh5SUFGKrM2LECPz222+84wGQ7Ly+vj6srKwExxcWFhJhX4qi0K9fP8G/KS0txbZt20gw6+npKfg3AEjH4NatW0UZVv87UF1dzdkMPXnyBCNHjiTXoHaAuHfvXla1gSkfFxYWQkNDAxKJBK6urizqQ+17okOHDqwA/tWrV1i2bBmuXLnyT3W9/m/C96DqO75DDSoqKsjieu7cObLQ6enpsQKbiooKGBgYYPv27aygMjAwEJs2bYKuri6LqE3TNLELYThk6jIHubm5rDbl8PBwwcnI0dERzZs3h7m5uaBf1uDBgzF9+nQYGxsLksnT09NRVlYGIyMj0R5pnBnfRwAAIABJREFUs2fPFq2SvnHjRjRv3lzU2OjoaGhpaaG6ulowWGd4XdeuXcOjR49Ejd29e7egka+fnx/MzMywYMECXh0nhUIBFxcXtGrVChYWFrwCoQxqB0ohISG8WZrjx4+T7idV/pIMioqKIJfLIZPJMHnyZN7r1rVrV0Ir4JPzePfuHaRSKbS1tTmNGnXBCN527NhRlHH3x48fkZ+fDxMTE9EdngAwYsQI/Pjjj3j48KGoQPrp06eQyWTQ0dERLGl/+fIFvXr1Ir+Nnp4er91QdnY2oSwwJbSAgADBc1IoFMjKysLVq1dFdc+qQ35+PuLj47FixQr07dsXFhYWrMrDn3/+SYJDiqJUSlcMHjwY3bp1YwWceXl5uHHjBhwdHYmhMoOKigrS9aetrY2IiAhWVnLHjh3k2nl4eOCXX34R3VH8vwHfg6rv+A4BKBQKnDlzBj169CCTD2NLAwBpaWkYMWIEWrdujc6dOwNQLiBGRkaQyWRwd3dnlSZrl2P79OmD2NhYteUxpkuIoij07dsXZ86c4W0Nfv78ORnfsmVLlca6DIqLi0l5qX///vjjjz94r0NkZCScnJxAURTu3LnDu9DTNI3169ejb9++mDhxoiDn5s6dOwgMDESjRo1w48YN3gDv06dPuHnzJiiKwvr163HixAm1Y2tqavDy5UvY2dmhefPmGDx4MO85X7p0iTSftG3bVu3Y7OxshIaGkmvNZ8WTnJyM4cOHk7HR0dFqxzJ4/PgxbGxs0Lx5c3Tu3JmXL1VUVISQkBDSPaVOXBJQGnczgp58WaXQ0FCcOXMGOjo6gsFlWFgYNm3aBC0tLcGuyC9fvuDYsWOQSCSieG4A0LNnT8ycOVPUWABo1qyZqMAFUD7bPXr0QMeOHXHp0iXBTKJCocCiRYtYAa861NTUYN26days39SpU1UGs2VlZVizZg1GjBiBtm3bEm2p6dOnczKUZWVlyMrKwrNnz3Dr1i3Ex8cjNjYWUVFRLPpFTEwMq7NdR0eH85tnZ2eT+11LS4uTxUpPT4dEIsGxY8dUNtnMmzdPZZl1y5YtaNKkCeRyuUrvSMZtgaKUjUqhoaFkXquoqMDy5csxcuRIzJkzBxs2bEBUVBTOnj0ryvD9vxvfg6rv+I5/Ardv3yZ6LgxRfP369Sw+FsC2gNHS0iIEz7dv36JJkyZYsGCBYKARHx8PDQ0NTJo0SbSFRm3TWl9fX14uE1O2pCglUV9ot7ht2zYyXiiDAYDY8GhoaMDX15d3bEhICAnw6tevz5thSE9PJyTZuuUKVWBayClKWK395MmTZCGSy+Vqs4IKhYIlp+Lu7q72mAqFAuvWrSNjxWRpAGWg+fLlSxgaGmLcuHG8mSWappGdnQ1jY2NO5qDuuTDSKy1btlQbrDGZhe3bt0Mmkwly+CorK2Fvbw83NzfBzGF1dTWaNGmCn376iXccg1mzZnGEddWhqKgIFEWJauIAlKUqqVRKvh/fuVdVVWHSpEmQy+WIiopCx44deSVXXr16BRcXF/K7Dxw4UC2PTKFQYPXq1Sz+XEBAgMrzSUtLQ9OmTVljGzZsyJKrqKysJEbuzBxU9znJyMhAixYt0KxZM+zbtw8rVqzgfNbSpUthYWGh9ryPHz8OiUTC2WCVlJTg1KlThLpQW4oBUAacP/74Izn/nj17sjoBKysrCdeUeVlbW7P4tRUVFVi5ciWcnZ3h7OyMzp07o0uXLujatSsuXbqk8nz/E/geVH3Hd/x/ICUlBevXr0dlZSWqqqqITEOjRo0AKKU6mF3YqVOnWH8nhrStUCiwe/fuf0owlqZp2NjYQF9fn6PgrgpMAObg4CCqWycoKIh8JyGNKgCYNGkSKEopTCiUwUhLSyOT57hx4wSP7ePjQ8YLBafl5eXo0KEDKIpCmzZtBI8dFxdHsgt8wSzTgk9RSm2guoFgbm4ubty4gV27dmHevHlwdHSEpqYmtLS0BNW+a+PChQuQSqWifAL37dsHiUSCxMRE3nHv37+Hvr6+oE6UQqFAr1694ODgIFh2vnbtmmAJkkFoaCj09PREdQFu3rwZRkZGojiZN27cAEVRxNKE729yc3NhamrKG4QyKC0txaBBg6Cjo0MU9tX5EZaXl2Pt2rXQ1NRE27ZtERsbCycnJ5W/eVVVFWJiYtCmTRtQlJLwL5PJWLpPDGpqanDhwgWMHz+epZLu7u5OMrs0TeP06dNo2bIlNDU1sXjxYmhpaeHcuXOsY6WkpKBRo0bk2a+qquKcX3l5OczMzLBmzRq1m5x3796BoiheWZOff/4ZFEVxsualpaXo1KkTzp8/jw4dOkBDQwNr165l3Wd79+6FpqYm+a4ODg6IiIggGTmaprF3714YGhqSMcbGxti+fbuoRpp/B74HVWrAl0L/jv97SE1NFaW+rk7N/fnz59DU1CSk7PDwcFAUxasj9Vervd++fRtt27YVTYLt2bMnOnfuLKqrCgDZSfOJKtZGcHCwWp6GKjClRTGecFlZWUSiRMyzmpqaCgMDAzRs2FDUuURHR4su1W3atAkURREdHJqmceDAAY4iNEVRGDx4MIyNjTFv3jzcuXMHOTk5ooKFsLAwUQELTdPo168f2rRpI2gBs3PnTkilUsGSF9PBqCqTURcTJ05Ew4YNVf4mtblHhYWF0NPTQ2hoqOAxmdIpH3eJQVhYGExMTIgwb91goja8vLxgaWkpqEGVl5eHrl27wtTUVDBYvXLlClq1agVdXV2EhISgqqoK5eXlnACspKQE27Ztg7W1NaRSKcaNG4fk5GSsWbMG8fHxrLFPnz6Fv78/4WR17twZwcHBpLOXCXiSk5OJIvuoUaNIUFFXI+7Ro0cwMzNDly5deJ/9Q4cOQSaTISsrC5GRkSrHLF68GPb29hxtr7pYuHAh5HI5x20gOzubyLX8/PPP0NHRgb29PUuE9O7du7CyssLx48cxZcoU6OjoQFdXF1OnTsX9+/eJZtXAgQMJR5XJ0LVp0wbLly9HYmKiKH7dX4G/fVC1bNkyjBgxAqtXr8avv/6KJ0+eoKKiAuvWrWNxQW7duoURI0YgPDycqN8CwJs3b3D16lVyPJqmMXbsWPzyyy+cB6nuDRwREYHAwEDOZFF3kk1JSYGPj4+gKS1N05gzZ44g7wZQ1ttDQ0MFJ5QPHz5gxowZRCGXDwsXLsSRI0cEJ/MjR45g6dKlHOE3VTv9YcOG4cCBAyztpvLycg7n5qeffsKSJUtw+fJlVknj999/Z+18Dh8+jH79+mHatGkIDAxEXFwc7t69i7Nnz8LExATLly/Hx48fUVxcjF69emHu3LnYt28fHj16RLyyXF1dcenSJfI7hYeH4/HjxzgzZgwypVJAIkG2lhZOjx4NQLmAhIaGkgCrsLAQ69evx+DBg0HTNDIyMpCQkICQkBB4eXnBzc2N9d2ePn3KsfjYvXs3Ro0axVoQb9++rbId/MOHDxzeUXl5uUoxyJMnT6rNpPn7+6Nr166orq5GZmYmUlJSeAOC06dPk8BETOC2bNkyUBQlKExYUVGBBw8ewNfXF4aGhrxj379/T4LMY8eOQU9PT+W4b9++cZS0d+7cCT8/P9b/0TSNhw8fqnyWd+/ezfq/Bw8eIDIykmTJDAwMMGDAANjY2LCkEnR1dQXLuzRNw8fHB7169RIMwt68eYP69etzJEbqgslCCRHMAeU9XjdbpUqgNjs7G5aWliqNmg8ePMgys547d66gLAZN06hXrx4aN26M5ORkwfPcsmUL6cabM2cOwsPDVY4rLi5Gs2bNVHbdMl27DAIDA2FtbS2oqP7p0ydoampi8ODBvOK9gDJQ1NbWxpw5c1hl97rP3tmzZwmtYOXKleRezs7OZmWLi4uLoa+vj06dOvFy5QDAzc0NLi4unMxUdXU1675evXo1PD098fLlS7Wbkfr162PMmDGcUu7Vq1dZBsgKhQLjxo1Dv379eO/ftLQ0/PDDD9DX12f5l2ZnZ5M5v7CwEDt27EDr1q1ZpV6aphEdHY19+/ahsrISly5dwk8//YTGjRuDoihMnjyZ97r8VfjbB1U7d+7Ejz/+iJYtW5KJTiaTEdFIiUQCT09P7N+/HwMHDiR6Rg0aNICnpyfxfRs7diw+fPiAwsJCjBw5Ejo6OpBIJOjVqxfCwsKQlZUFFxcXVlvw+vXrYWJiAqlUioEDB+LYsWOoqKhAeHg4S/Pl6tWrxOm8R48eiIuLQ2VlJVJSUlh18tp6K82aNcO2bdsI76WuInNgYCD09PSgr68PPz8/squ5evUqa2G+c+cO+Ww3NzdcuHCB7AxqB3mVlZUYOnQoJBIJLC0tERAQQEpK0dHRLLJlVFQU6ThxdnZGREQE8vLycPDgQVaK+NWrV3Bzc4OGhgZkMhn69u2L7du3Iz09HTY2Niw9oYULF6Jly5ZgOk4GDBiATZs2YdiwYbCzsyOcpsuXL2Pq1Kno168fmjRpwtEBYjhAnp6eGDlyJDp16kQyInK5HG3btoWJiQkoikLv3r1x7do19OzZExMlElTK5cpH5b9eCm1t7OvfH7q6utDT08OyZcuwdu1aYipqbGxMlOEpSqkf1L9/f8ybN494US5ZsgRyuRwxMTHw9fUlv4W2tjZcXV0FtYG+fPkCe3t72NnZsYLd4uJizgR+6dIlUBSllvi9fPlyQhRdsWIFbGxseCfIN2/ewNnZGRoaGjhw4ADveQLKzIGOjo7guJSUFFCU0rhXSNqhf//+rJb3n376SSU/5NChQ5DL5Rwj6rrXt7S0FNra2pwACuCqSZubm2PLli2gaRpXrlzB0KFDiZ5PdXU10tPTceXKFezZs0dUGayqqkp0drP2xoKve6z2OMaSR9WmSKFQcO6XwMBAbNu2jXMPqAvKr1y5Ag0NDRK8ivFiy8zMBEUpxU3/Gdy6dQsSiQTbtm1TO6a8vFzluU+ZMoUTEPDpf9XGy5cvRWUeX79+LaoL9Nu3b7h27ZroLkYx4woLCzm/UUFBAQYNGsTZLNTU1KD/f81hdcHw11TxCZ8+fQobGxtWwFhZWSmq7E3TtCgxWZqmcfPmTc53UaWU//jxY1FB+V+Bv31QVRvl5eV48uQJ4uLiSI279mv8+PHIzMxEYmIigoKC8MMPP7AIs/r6+ggJCUFlZSVKS0tx/PhxjB07liycTG140qRJJENUXl6OI0eOwNXVFRKJBKampmjXrh3kcjnRSQKUD/bFixcxdOhQSKVSNGjQAN7e3pBKpZyJ7cWLF/Dx8YGOjg4MDAwwb948NGrUCLNnz2YtKAUFBdi8eTMaNWoEqVSKESNGYNSoUejcuTMry6ZQKHD27Fn07dsXFKUUBF2zZg309fU5qeX09HQsWbIEpqamkMvlGDNmDFq0aAE3NzeOeOmlS5cwYcIE6OjoQENDg+ihTJ8+nTXZFxUVIS4uDp6enqwghNl91D5uRkYG9u7dizFjxhCLmtpj606OVVVVePv2LYsUqaOjgw4dOmDChAlITExEdXU1nj9/jsOHD8PX15dzX7i6uiLfwIAVUDGvLJkMISEhWLlyJUuxngmMGAukuirqCQkJsLGxYY3v0KEDycaJ4WUVFxejY8eOaNy4saC2VVFREaytrTF8+HC1i0Lt7KCzszPx8VIHRlhVIpGw7C3UYd26dTA3NxccV1lZCZlMhsOHDwuS1ENCQmBiYsLqLFIVVBUUFEAmk/F2SzLw8PDAoEGDeMfU1NRAKpVyxDP/Kq22uh6BfIiKisLYsWNFjQ8MDISTk5OoEjIj5unr6ytK5JEJhuvXr88KWvhw6tQpstEVyy+sqKiAvb09KIoSVV5kkJWVBWdnZ9EabAwqKytFN5L8T8Tr16/RqlUr9O3bl/NebW2zukHwgwcPyHt1qyg1NTXQ19eHtbU1h0/JzP3/U3UL/1V8D6pUIDs7GzNnzsTGjRsRGxuL27dv49OnT5xdQFVVFdzc3MiNJZFIoK+vj379+rEmpbKyMlYbLpPOrS35Dyh3ZXU7QDw9PTklmoyMDKxYsYJFzvP29uYQSfPz87F582ZiUklRFH744QfOrriqqgpxcXGkW4uiKDRp0kRlyS8pKQmTJk0iujhSqRQRERGccWVlZdi/fz/LG9HW1lZlG3VxcTGioqJYNj7t2rVTucOuqKiAp6cn6xo1bNhQpbXE7du3VbqhR0VFsX5LhuwYHx+P9PR03t3ejh074OHhgVmzZmHjxo3Yv3+/coJQEVCBokBLJOQzsrOzkZiYiF9//RXBwcHw8fHhBAUfP37EqFGjOIGbh4eHaE4AI7bau3dvNGjQQJTOzdSpU2FmZiZq4c3Pzydt1kJglJfFCDfu2LED9erVExwHAK1atRJs9Qf+YePCpyDOoH///qIyItHR0dDU1OTtfszNzQVFCXcm/v/i+vXr0NfXx5o1awRL+GVlZTAzM4OpqSkOHDjAu5h9+PABUqkUurq6iIqK4h2rUCiIOOfAgQMFu0GLi4vJ/dy+fXtRWTemEYCilPIZYrB27VryN5s2bRL1Nzdv3iSWOMHBwaL+pry8HDt37oSNjY2g/lltFBQU/MeVxr9+/YrIyEjOJvjy5cswNjYGRVEcUePS0lLW2lF3HYqNjSXvTZgwgfOZTOejlZUVJ/O0ceNGtG/fnpg8/1/C96DqX0BZWRkyMjKIs7u6m6OqqgrBwcFYsmQJ/Pz8MHv2bEybNg1eXl4s4iOj7dO6dWuYm5uTgMDW1pYT4NQWo2Re3bp14/C43r9/D1tbW9Y4e3t7TmdEdXU1Zs6cyRpnaGiosjX1zJkzLFsXiqLg5+fH2cnk5eUR8jHzMjY2VnnMmJgY9OzZEw4ODmjYsCEpTdbtYisuLsbWrVsREhKC4OBgbNy4EevWrcPatWs5u+tXr14hOTkZKSkpSE9Px6dPn1BQUEAMoP8qHDhwABlqgqpMqVRQgLM2SktLkZOTg8zMTKSmpuL58+d49OgREhMTBRctQEmYnzhxItzd3WFsbMzLw6NpGq9evUJ8fLzowAdQ7l5VtVGrAmM1IqbF/eDBg5DJZKJ+Gw8PD4z+L84aH2iahpWVlSjdooiICOjq6vJqQgHKgEkqleLIkSNqxzx79gwUReHp06eCnwso5S1mz56N8+fPi1aaZgRkTU1NERoaynvea9asIc/ggAEDeDujGO88ilL6b/KZGU+ZMoWMdXBwEPQVZDLNVlZWooIkDw8PWFlZwdraGiNGjBAsGWZnZ2PkyJFEFoNPP4xBZGQka/MltAkpKyvD9u3bicClGA2twsJCHDhwAO7u7liwYIHgeEC5yf5nMjqqxj179gy+vr4wMDBA165dWfZGERERLB2ruhpQhw4dQs+ePUnCoO7aEhAQAFNTU2hqamLkyJGcDuLa8i6NGjViZazKysqI12uHDh1w5syZ/zPB1feg6n8wGMLku3fvVKbjFQoFcnJykJSUhPj4eOzevRt79uzhTDwlJSV4+fIlzp8/j927d2PlypVYsGABZ7IsKSnB8+fPER8fj/DwcCxatAhjxozh7PKrq6uRkZGB69ev48CBAwgICIC3tze2bNnCyabQNI0vX74gOTkZ8fHx2LVrF9atWydYjgKUwWhubu5/rGtDLEpLS3H79m2Eh4fD3d0dQ4cORfy4cSiTSlkBVSlFYRxFoXv37iguLsa9e/c4nJ2/Gowno5aWliDfKjk5GZ07d4alpSXGjh0reOyamhpUV1djxowZcHZ2FnU+THaCaUPnw7lz51TuiFXB399ftLebt7c3unXrBpqmecumWVlZoChle7jQ79SnTx+MGTMGZWVlKoMZRlJDbIkOUCq0MzSCkSNHIiYmhlcE9eXLl2RRlEqlmD59utomkZycHEI/aNiwIQ4dOqR2EWOMjymKgpeXF6/gYu3yUFRUlGBA2Lt3b/Tu3Rtdu3blHccgIyMDixcvRvv27QGIK5++fPkSFKXsIhUq59I0jTdv3hDdJyHJjY8fP5LGA2aTqO43+vr1Kw4dOgQPDw9y7bt27ar2N8rOzkZcXBxmzJiB5s2bw9DQUK0Xp0KhwMuXLxETE4M5c+bA1dWVFcAnJiaSgIihNNQOFmmaRlZWFtlwt27dWuXnrFy5Es2aNcO5c+c4DVXJycmkGUVVtvTs2bPES1aV5EJtX1iJRIIlS5aQuf7u3buYPHkytmzZgmvXrqnlHP53ZP2E8D2o+o7vEImwsDC0bt2aRW5nzIqTk5MxjqJQamYGmqLwXiLBLEND6OnpQSKRwNfXF3v27IFMJkO9evXQtWtXTJo0CevXrxfVWSkGL168YKk3T5o0ibcTs3aZxN/fX7BlvaSkBB4eHmjcuDFWrFghWHZ6+/YtUXiPj4/n5em8f/+e6BzdvHmTN8OWm5uLPXv2QEdHB8ePH+cltRYXFyMuLo4EHeoCTYVCgeLiYjg7O6N3794sxfy6KCoqIsKKLi4unOzMhQsXEBkZCalUisLCQtGBdHV1NVxdXclvYm5uLhiMMnpdEolE0EtvypQpsLOzA0VRvBy3qqoq2NjYYNCgQTAzM+PdABUVFWHBggUYOnQomjZtKljSy83NJQGn2JLZli1bYGFhIWosM97IyEj0Yrtt2zbIZDKEhYUJlpRpmmZROdR1FwJKknltrmaDBg3UPmPXr19nmdlraWmptD6qrq4mXa+1Kwp1Oz2rq6tZwqM7duzgHIuR1IiJiVFrON6jRw/eDs1Xr16BoiiVshyfP3/GxYsXMXz4cNja2nK4jDRNo3fv3qAoZQdsXUcH5rllvkPz5s2xfPly1ib77du3aNOmDZo2bQoXFxdMnToVGzZsQFxcnKBh978L34Oq7/jbo6SkBElJScjKylK706ZpGqdOnWIJ0dXmILi7u6NDhw7kgb9y5Qrevn0LU1NTeHh4ICYmBm/evEF8fDyrucHR0ZHVbfn27VuEhIQgMDAQAQEBWLlyJZYsWQJ/f3/BctvYsWNBUUrl4SNHjgju6h0dHcmCvHnzZsHxVVVV5Lx1dXXVatcwSE9PJ9w7HR0dXoHAGzdukNKQVCrl7dSJjY0lHZQURfFmc27dusUqVfNpMo0fP56Ugbp166Z2XEJCAvleFEVxSmnbt28n72lqaqJv37744Ycf4ObmhnHjxvEGo4WFhWjVqhX5ex8fH96yb3Z2NiZOnIjly5eDoiiVXYkMnj59ihcvXsDPzw+ampocCYnaePbsGb5+/QpbW1t06dKFNwNVVVWFDx8+wNDQEAsXLlQ7jgFN07Czs8O0adMExwL/WFzFdAsCwIABAzBq1ChRY1+8eAEtLS0iK8GXJa2pqcG0adMgk8kQHh4OJycntYEbTdOIiYmBgYEBdHV1IZPJOBza2mNjY2MJP00qlartwK2oqMCGDRtYAVXdSkJRUREGDx4MDQ0N9OjRAy4uLpxsf3p6OvT09LB06VIAqjs2S0tLoaGhwTJLrgumaYQvSH/9+jXkcjl++eUXzntJSUkYO3YsPD09oaWlxZkjjh07xipRRkZGcu6D/Px8EpwxL76uz383vgdV3/G3h0KhgLu7O2uiat68OYYOHYo3b97gzz//JKl0xmi29s6PUXFWlVW4cuUKZDIZi9Nz//591K9fHzKZDDKZDI0aNcKWLVvIhB4fH0+0VZiXm5sbbxnmxYsX0NXVxZo1a1RqVdVFeno6+a7nzp0TVVahaZpkwrp27SqqLMvIXOjr6/OW3hQKBZo1a0bG8mUZqquryVgxStu1bWrUlVMA5eTMLGyMh6M61DY8rsvBuXXrFnmv7u/o6uqKa9eu8X6/169fw83NDXFxcTA1NUXjxo15Ce9fv34FTdOkyWXnzp28515TUwMPDw/Uq1dP0H/vxYsX0NPTw5w5c3jHAcCuXbsglUpZhr3qsGPHDujo6IjK4iUkJICiKLUK5rVRUlICTU1NwawdAOKE0LFjR8GsRkVFBUaOHAktLS0i5aJOT62goICU4efOnYuLFy9ybFoYPH/+HH369AFFUZg2bRrat2+PXbt2ccYpFAocOnQITZo0gZaWFlxcXGBgYMARI3316hVsbW1hbm6OW7duITExkZNJVSgU6NevH+zs7HifycuXL4OilOr06gLa8vJytGjRQpCzOHfuXNSvX1/lBuHz58+oqanB1KlTIZfLOTzaEydOQC6Xw9nZGRKJBA4ODhwOVkVFBcvBQSqVYvTo0aIaVP5qfA+qvuNvh8rKSty/fx8RERGYPHkyh8ivo6ODVatW4ebNmxg0aBAoSml8fPv2baSlpbF2XDRNo3v37ujbty9nMnz8+DEUCgV27twJimKrYb99+xY9evTAu3fvMHfuXOjo6MDY2BgrVqxATk4OSkpKsHDhQpL+ZrItzZs3h6+vL86cOcPaVf/222949+4dysvLBYnWgLLk0aJFC7x8+RKlpaWivdK0tbUhk8kEhWgZ/PTTT6AoShRnKyAgABSlJFILYdeuXaAoCmLmiMLCQhIsvXjxgncsQ9p3cnLiHVdcXEwCprqikN++fSO764cPHyImJgZGRkbQ0NAgWShTU1NMmjQJx48fV6ndw2gYZWdnY9iwYaAoJSFaqFmB8RgMCwvjHVdSUgInJye0bNmSl4gOAL/++isoiuLIQ9SFQqFAnz594ODgoLLsXDtDV1RUBD09PU7HmSrs3r0bFEWJ0hlixDIZ+YXPnz+r5bWtXbsWWlpagqKeJSUlGDBgAAwMDNRmmxhcu3YN1tbWrNJtRUUFJ/D/+vUr/P39IZfL0aFDB1KWvn37NueYly5dQocOHSCRSODl5YX379/j9u3bnFJ2QkICDA0N0alTJ95SPlOaFgo4GD5Vbm6uSpFUQGldNXDgQIwfP571/3W/75cvX2BoaMirys/4aUokEo5Nz5kzZ3Dz5k08e/aMeAZ269aN9XvQNI2AgAAsWbIEBw8eRPv27UFRSk7r8ePHRWc6/1X87YOqbdu2YfXq1bh8+TKLDxAfH8/q2kpQIYVYAAAgAElEQVROTsaiRYvw559/sn6cwsJC1q6TpmksXLgQ58+f5+xG695osbGxiImJEVwEMzIysHbtWlFdZBs3buTdjTM4d+4cTpw4IZhtyMvLQ3BwsKj257CwMFHO85cuXcKhQ4cEOQ/FxcWYN28eHj58KJiNWLt2LUJDQ/H06VPW2Lr2BGFhYaSEZ2BggH79+mHZsmXYvHkz4d18/PgR9+7dI4srI3gKcH/DN2/ewMDAAOfPn4eRkRFrMdm7dy9CQkKIGratrS3rO9deZL58+YKAgADUq1cPurq6ZKF7+PAhnJyckJqaijFjxmDJkiWkbKehoUHKBGlpaZg5cyY2bdqEmJgYnDhxAhcuXMDWrVsxY8YMbNmyhXXeQUFBJEvw+fNn2NjY4OvXr4iOjua9J4yMjODv74/S0lJ8/PhR8HdhyOd8dj0MXr9+DYqiRCl8Jycnw8LCAmPGjOEdV1xcjI8fPxJCtbr78+PHjyS4mTp1KhwdHdWOY9Syr1y5Aor6hz0Ng5qaGjRt2pSlQv3hwwcMGTIEpaWlSElJwebNm9G9e3dIJBJoaWnx2p/QNE2yViNGjOD9voBSa0pDQ0PQ++zjx49o1KgR1q1bJ3jMefPmoVWrVuT+Vfe7v3nzBvr6+hx+DABs2LCBxR/08fER9X0WLFgAbW1t3nIlgy1bthCdKYVCgUGDBqnMKJWWlsLKykpUmSggIABmZmaCptKZmZmQy+Xw8PAQFPYcNGgQjIyMEBERwbvYHzlyBBSllKzg28h8+vQJWlpamDhxIu96UlNTg3bt2qn0fKz7bHh5eWH69Onw8/NT6zs5YMAADBw4kCNFkp+fz8k4bd68mTMH1gVN01i1ahU0NTU5WmZ153XGkqeutAuT0aRpGlevXsWQIUNAUZTgXPFX4W8fVK1atYqILMrlcnTp0gWLFy+Gl5cXDA0NERoaisrKSvz+++9EzdrMzAze3t44deoUkpKS0KlTJzJZ5Ofno0uXLqAoChYWFli4cCEJcmbPns3if8yfPx9yuRwmJiZYsGABIfKeOHGCtXtMSEiAiYkJNDU14e3tTXZs6enprNRuUVERES0dNGgQbty4QW7EugJsTKeRo6MjTp06RcbV7bK4ePEi9PT0YGFhgcjISJImr5suLy0thZ2dHeRyOXx9fVkBYN1JY+3atZBKpWjWrBmrY6iuuF9ycjK55g4ODvj555+RnZ2NoqIiLF++nPVwTp48meitWFhYYOLEiYiJicHYsWPRs2dP8vs8fPgQ+/fvx4sXL1jn9ejRI9aET9M0zp8/rzLASE1NZZFsmeCvbokiLi4OcrkcDx48QFVVFWvHfP36dZU8ldLSUo73V3V1Nb5+/Yo+ffoQj63s7GzExMTg6tWrmDRpEsmMNGnShCW1Ua9ePfTs2ZMjglh7gmLMjJs1awYtLS3ejICzszNKSkrIZC8UlJeUlEAqlYri2mzYsAGampqCDvPfvn2DsbExXF1dsXLlSt6xvXr1wpQpU0DTNIYMGaK25X/06NEYMmQIgH9wUlRh7NixsLe3J9fP19cXGzZsAKAMToODg8l8Ymdnx7rHaJrmPAs5OTnYu3evqJJtTk4Obwm4NoQMrBlkZWWR35Dvt6ysrGQFCunp6di1a5fK4Epd5is8PBw2NjbkOeCToamNXr16QV9fX7SaPHONQ0NDQVGU2uxeXl6eyu+cnZ3NyspVVlaylMH5wHjRCeHFixeiOkPLy8sFs2MMnjx5IuqzS0pKOGW/+Ph4TJw4kTM2NTUVGhoamDdvnspjWVlZwcHBQeXnNmnShMUNq6ioEJVFB/hdABjQNI0//vhDlBDyq1ev/iktsX8Ff/ugisH79+9x+PBhzJw5k3TIMC9bW1ucP38eNE3jxYsXCAoKIoETk/XQ1NTEpk2byEL/6tUrVsDWtm1bmJmZoWHDhixvpk+fPmHjxo2klNCvXz+4urrCxsaGlXEqLS1FZGQkObe+ffsiMDAQ5ubmLA4Do37evXt3kiI9c+YM7O3tOWaWSUlJJJXKCLHNnz+fk+rNycnBnDlzIJfL0bJlSxw9ehSXL1/m7PKqq6uxa9cuWFhYQF9fH+vWrUNJSQkmTpzIufHfvHlDauiNGjXCjh07sHTpUqxatYr1gNI0jVu3bmH69OkwMDCATCaDu7s7JBIJ+vTpw9JGqampwd27d7Fhwwb07t2bRSaWy+VYtmyZqMVLHRhvKXNzc1bp7c2bN4TgXDtrwbQbt2zZklPiuXDhAtq2bSu6jAaA6IiFhobiw4cPGDt2LKvbj7nPNm7cSAIsvombuc7MeVIUhZMnT/KeA7Nbj4qKgr6+vqjzdnZ2houLi+A4hsMhxqJi7dq10NfXF2yZX716NZo0aQJA+YyrW/BtbW1ZAZqq4OXPP/8ERf3Dxic3Nxe9evWCvb09xo4dCw0NDRgaGmLu3LnYvHnz/whTdrHK5YBSp6uunRUf2rdvj/Hjx4uyHgH+UZrr3r27qIUQUC7EjCiwUPmxNu7du0eeyX9GkuXSpUto0KABy89VCJWVlX9ZB++/Ey9fvlTJHdu7dy9kMplKLt748ePVZnkYmxqKojhrCwAMGTIEGhoaKk2tz549KzrA+t+G70GVCrx7945lcaKtrY0GDRpg4cKFrAnk06dPcHZ2Zi1qXbp0YS0KCoUCN27cINwcilJaLgQGBrIe9pqaGsTHx7OE93R1dTkBjkKhwPnz51lK7tra2iqFG2/evMk6nlwuV7kIPXr0CEOHDiUlJalUqpLomZqaSjrMGPVhVZyIkpISrFu3Dvr6+jA3N4dMJsOgQYNUZmYyMjIwZ84clpq6j4+PypT4t2/fEBsbS4w0KUrZpqzKvBVgT6zMq2nTpqI0k+oiPz8fo0ePBkVRmDJlCuu9ESNGkOPX3lUyQQJFUZy2ZIVCgSZNmkBTUxMhISGi6v1btmwhxzt06BCx2Ll06RIiIyOxePFiTJgwgaVJ5OzsrHKHn5mZib179+LcuXOsbkQPDw9R12PLli2wtLQUNTYsLAwGBgaCixujaSVGqb24uBimpqbw9/fnHXf16lVQFMWbafj27RukUqla3gigfD47dOgAFxcX0DSNpKQkFgm9ffv22Lt3L7nW/y7+Bk3Tov3lAKUwrZubm6jSWU5ODnR0dODi4iIqSGB8T+3t7QW5aoCSY8hcrwkTJoj6Djdv3iR/U9doXB2KioqI7pQ6A+26qK6uxvLlyyGRSGBtbS0qEKusrMTu3bvRvHlzUdeL2SCqKo2qGnvv3j3B7FxVVRWOHz/Oa+D89OlTjBo1CrNnz+Z8BsPBoyhuwwVjQ8Rs9usiMTGRvO/q6sp5f9WqVSThUDfoOnnyJKysrLBr1y61TQLp6en/4zSoxOB7UKUC2dnZSE9PR15eHq/OT0ZGBlavXo2VK1di+fLlWLp0KRYvXoyVK1eyyl9fv37FsGHDYGtrCwsLC+jo6JAbsXYmQaFQsHRNmNfSpUs5k3RCQgJH1TwoKEglQbC2WB1FUSrb52ma5vjaqeMbMKUf5qWObJqZmUlUhymKwuDBg1UGVoySfO1jjhw5UuXY1NRUODk5oUGDBiyrnPXr13Mmwnv37uH333/HlStXcOvWLTx48ABPnz7F69ev/6lF7+rVq2jUqBE5t9ru8ElJSSyRvdpk9Nu3b5P/t7Oz43RwMRklilKaMws52zNdUBSl7HrjKwswGU0tLS1MmjSJY8vj6uqKhg0bQiKREBNuZlMgZgEOCAhAq1atBMcBypIIRXEJ3arQtm1b0YrTP//8M3R0dHg94crLy6GlpcXL6WI8zFRlyJhJPSoqCjKZDM+ePUNcXBx5hplXnz59/mOZqcjISLRu3RpBQUGCmSiFQoFu3bqRcxRS6J4/fz7Z+Pn5+fEaPTNmx8wGUChrWFhYSMYbGxvzajwxCAoKgpWVFaRSKZycnDiq3aqwdOlS0pggRt/q/fv3JLNPURSWL1/OO54Jppigeu7cubzjCwoKEBYWhjZt2qBZs2a898mHDx8QHBwMOzs7zJ8/X+241NRULF26FA0aNFBpEQMoy4EjR44k17s29YQR8WW+s7W1Nee+mD17Npo1awaJRKJSFHXfvn1kDerVqxcnsD5+/Dg5vo6ODodU3qNHD1AUhRYtWiAuLo4zf6ekpKB58+bw8/PjLateuHBBdOnzP4HvQdV/E6qqqvDlyxeO9hBN0yguLsbr169x/fp1HDlyBNu3b+ekowsKCpCcnIxTp05h+/btWLBgAUaMGIHw8HDWzfXp0yfEx8dj69atmDVrFlxcXGBtbY158+axAouCggJERkbC19cXPXv2JDpA69evZx2vpqYGW7ZswZAhQ0i2iqIoDhEaUN7snp6eLGNgDw8PTqBaXl6O06dPY9OmTfDy8kLnzp2JsCJftxNN0ygtLUVWVhaePn36l6mVf/v2jdjbVFdXIzo6mojt2drach5eRlLh/PnzrKxZcnIyfHx8oKurq3IB+fTpE+FC2dnZ4dSpU7zn9fbtW1hZWUFHR0fl9a6NwYMHo23btrCxseHs9pjOOeb7HDlyBCdOnIBEIlGrj1MXixYtEtV5ByhLOJqamti/f7/g2JkzZ/JqRNVGWVkZrKys4OvryzEVr41+/fqRhUfVmH379kFbW1vlrjg+Ph779u2DmZkZfvrpJ7x69QpBQUGIjo7G+fPn8fjxY+Tk5PxLmamvX79ixowZ8PPzQ2xsLFJTU3kXCJqmWf6Xffr0wZ49e9QGQElJSSwRxQEDBqjVPPv48SPJGmtra8Pf3583W9CrVy9QlFIG48SJE7ybUJqm0bRpU7Rs2ZLTLaYO7969I5u4mpoa0RY+vXr1Qv/+/QlPjg/37t1D//79yfXhC/7fv39PjN8pStnFqe5aJicnY9KkSYTjKJVKWRsyBhUVFYiNjYWrqysp53fo0IHzXWmaxokTJ1jnam1tzfndGbJ37aC/bjdoVVUVkpOTSVBUN/vO4IcffsD48eMRHR3Nee/Ro0ckE5yWlsYJitLS0qCnpwdtbW2VxtZ3795lnePUqVM598/hw4fJ+61atcK6des4pfnMzEw0bNgQ5ubmhEsrJvj+d+F7UPU3xbdv33gnKJqmkZmZiYSEBLWZAJqm8eHDB5w+fRorV67k7Y7Jzc1FQkIC1q5di927dwvuKphjC6l8/6uorq5GVFQU/Pz84ObmRvyo3NzcSOo9ODgYMpkMPXv2VKk3s3nzZjRo0IDznZhW6rFjx6JHjx4qP3/48OHo0qULpFKp2jImg5qaGty7dw/z5s2DlZUV7++XlJSEN2/eQCKRsLpwGNE/Jos1efJkosbs6OiIn376ifccACWvaubMmejXrx8+f/7MWyqhaRpVVVXo0qULJk+erLaLCFBO9Pv374empiaio6MFiaWfP3/GihUrIJfLIZVKVZb4qqursWHDBlhaWmLZsmWc+2nnzp3w8fEhWkV1v8vSpUtBUcrSeUJCgmj+0Ldv3xAUFITg4GBER0cjISEBDx8+RFZWlsrA4/Pnz6yytomJCQYPHqz2/i8uLkbz5s1ZCxJfBqR2FlpItHXOnDkkEBDKPkVGRmLMmDHQ0tJSq8pdG2/evMG+ffsgl8t5M4y1cf78eVAUxZs1q42MjAxQlNJvUgy5/dmzZ9DR0cHw4cMF9clomoa/vz+5lnyaYKWlpUSDiqIotXICDFeTGaenp6eWqJ2SkkKU1yUSidps9dOnT8nGuHXr1ipLbPPnz4eJiQmOHj2KuLg4ledlYmKC7du3q/2OOTk5oChKZUlToVDgxIkTWLRoEerXr6/y2WE2BxoaGmrFgWtn1GxtbVWWmp8+fcpSmdfX1+eYR/+n8D2o+o6/PRgdHOY1YcIEsvD98ccfkEqlCAkJwdu3b1XKWgwfPhxDhw5Ve/wzZ86AoiiVpZrExESUlpZi5MiRqFevnqAhLfCP1u2oqCjBsSNGjICTkxNomiY6Qk2bNkVISAhHiXz+/PlwcHAQPObQoUOhq6sLY2Nj9OrVi3csTdMYPnw4WQhUcTMYnDx5ksVTEiKsJycnw8TEhIxXlWWLiopilaDrZjMZrqOpqSkGDRrECYyZ0hlFKX3w/hmOx/v379GxY0fWvWVlZaXWZDknJ4fVJDNs2DBe9fWkpCRoamrCwMAAenp6vMrX+fn5sLa2Jl2/fPpQmZmZ2LRpExYuXAiZTMarhJ+Xl4fCwkJERERAIpGIIniXl5fDzMxMsHOTAVNGF/NsAMpNkImJCW/WjEFpaSns7e3RtWtXVFVV8XKjFAoF5s6dC4lEgqCgILRr107t/VBeXo6pU6eCopSNKk5OTmrP586dO7C2tiY83piYGJXjMjIy4OTkBENDQ9SvX18tnzAxMREmJibo2bMn3N3dVQrHMtlLRoFf1fdITU0FRVEqtbMY0DQNXV1d3rkoNzcX+vr6KjdUaWlpGDZsGKZMmQINDQ2VjTJlZWVwdHQkm8GZM2eqbDi6cuUKoYTUr18fhw8f/m8pCX4Pqr7jb4vHjx/D09MTEomEELsXLFhAshVv376FmZkZRowYofbhrKyshIWFBYKCgtR+Tnl5OYyMjNSqKgPKElDr1q3h5OQkqitm6tSpaNasmeAiz6TYz58/jydPniAhIUFtZonpAmRa59V9Z6ZVXVVZoaioCMOGDcP06dOxadMmHD9+HHFxcWS8p6en2nOlaZrFTxPS+gGUWTNmR65qka6pqYGTkxM5Zt3sHuOdR1EUZ/H59u0bmaT9/Pz+v4y9y8rK4OXlxeKWTJkyBXfv3lV5fT99+gRbW1u0bNkSxsbGqFevHrZv3642KxkREYErV64QSQ9vb2+12RkmYNi8eTPhDqn7jWtqakDTNLy9vaGtrY0bN27wfk+apvHjjz/CysqK1zaIwcqVK2FmZiaqC5DxjxTbKevg4ICZM2eKGuvl5QUTExPBgK26uhpeXl4sxW91zQ+ZmZlwdnaGgYEBTp06hXPnzqnMrtA0ja1bt0Iul2PgwIHIzc2Fr6+vymNevnwZ9erVQ+vWrfH69Wts3bpV5T3xxx9/QE9PDwMHDsS3b99UdrHW1NSgc+fOgq4IcXFxkMlkKC0tVXufVFdXo02bNoI8tFWrVsHIyEglRePLly9QKBSYMWMG5HK5yqar169fY8WKFTh69CgMDQ3Rpk0blQHw4cOH0aZNG0yfPp2UusVoJ/6V+B5Ufcf/aaiaDO7cuUME4RwcHHDw4EFs3boVmzZtIuMrKirQokULNGvWjJfXxTitq9uh0zSNgwcPYsqUKYIcpCNHjsDAwACTJ08W3GEx5sl1BfZUoVOnTmrFLGujoKAAEomETGpHjhxROY4hdstkMuTk5KC8vBxPnz7Fb7/9hsDAQLRt25aVnZFKpaSsKmR3woiuUhQlOit09+5dGBgYwN3dXe37zPnWva5Ms0CvXr047zF8kYCAgH9px0vTNCIiIiCXy7Fp0yaiJdeuXTtERERwslGfPn1CWFgY8vPzsWjRImhqaqJp06b49ddfOYsgU14FgFOnTsHY2Bh2dnaCAci+ffuI2K2QJdCwYcNgaGiIpKQk3mPm5eWhYcOG8PDwUNkIUxsfP36EXC4XZSfD3G+1pWjU4cmTJ6AoihUEqnt+9+/fD4qieDNxgHIuGDFiBLS1tTkacnVx/fp11K9fH7a2tiTTqureKSwsxLBhwyCVSlmd4HW5eTRNIyQkBFKpFKNGjSIlXlXHPHnyJDQ1NeHp6cmbpYuMjIRMJmNJ9qgKrubPn090DNVJs2zbtg0eHh4qJRdqn0NhYSGMjY15s5NMo5ZMJlM5rzHHS09PR+fOnaGjo4M9e/ZwrgWjNH/z5k20bt0aWlpa2LBhg2g+3r+Kv31QFR0djbCwMCQlJbFu6D/++INVw3/58iU2btyIR48esW7AvLw8zm5rw4YNuHHjBucBqVvXPn36NI4fPy64W/v48SO2b98uaKgLAL/88osogcDr16/zpnUZlJSUIDY2VtSicvLkSVEchqSkJFGq72VlZQgNDRVFQA8MDMSGDRtw8uRJvH79miwUCxYswK5du8gDxfijde7cGWfOnMGHDx+wdetWzsK2Z88eSKVS3uwSAIwZMwZSqVQtn6WkpAQWFhY4c+YMtLW1eVXxDx8+TFS2hTrwnj9/Dm1tbbWBRG34+vpCKpWK8k5zcnLCqlWrkJycDGdnZ5VjqqurYWBggGbNmsHGxoalldW4cWMSVGlqamLmzJm4e/cuQkNDoampKegRFhcXh9GjR8PIyIh33IMHD1jZhZs3b6JFixaccVVVVcjKyiI6Z3URExMDiqLw22+/cRaW9evXc/gkL168YJUlq6qqWGKlNE3jzZs32Lt3L4ec++effyIvLw80TeP27duYPHkytLW1oaOjw/m9az9v7969w8SJEyGRSDjSHHWRkZGBbt26QVdXV9CB4dSpU9DS0hJseigvL4eLiwvatGkjmK27fv06pFIprl+/zvr/jx8/sjpjAaUG0qBBg3iPByifRSbbKoStW7eicePG5Dy/fPmispu0rKwM5ubmokRp16xZA319fUERzrS0NMjlcgwbNkzQTqhv374wNzcXLJcyfoq1N3yq8P79e2hoaGDGjBm8TRM1NTVo0aIF65pUV1ervAcGDx6MqVOnol27dmr5sh06dMDIkSPRt29fznu7d+9mccMCAwPRqFEjXp9FmqYxb948yOVy3m7oyspKLF68GBRF8QbmlZWVCAoKgra2tqimhb8Cf/ugau7cuYTgZmBgADc3N2zcuBE+Pj4wMzPDrl27UFNTg9OnT6N+/fqgKKVGk7e3N44ePYqHDx/C1taW7KIKCwuJl5y5uTlmzZqFy5cvo7q6GqNGjWKpVc+aNQsSiQRGRkaYPn06rl+/DoVCgT179hDyMKAUStPV1YWWlhbGjRuHq1evgqZppKamcnZk1tbWkEgkGDZsGP7880/yINa10vD29gZFKZXXHzx4QP6/7g6H6Qrr2bMn7+63oKAApqamaN68uWBA4O3tDblcjhUrVvAGlHfu3IG+vj50dXUxZ84cksYtLCxEZmYma6yXlxfJhjAk7Hbt2sHe3h4URaFRo0YIDw/HgwcPcPnyZdA0TfzPapsjM3j16hUoiiIK5urQsWNHWFhYqF1s3r59S7IdQhMtkzUR6gIElPpDFCVO02ncuHGQyWSCHm+AMgikaRr9+/cnopmqMHDgQMyaNQvr16/H0aNH8fjxY8JzCAkJwbBhwwgROS4uDlKpFKamppg+fTq5VnUzJDk5OTAyMoKlpSWsra15z9PV1RXGxsasa3Xt2jVOcOzl5YVu3bohNzcXrVu35hzn6tWr6NevH9q3bw8/Pz/We3U5XbGxsdDV1cWkSZMAKIUi7e3tMXz4cOzcuRNjxoyBpaUluf/EaH4VFBQgPDxclChtUlKSoFUKoAz0+AyYa+PBgweidvBfv34lz19lZSVviVoVyZqmadSvX58VgObl5YnKRjLcJHUGxnXBbD6rqqrQp08ftSW1tLQ0tRmde/fukfu0tLRU1CYQUPJ6xJSJHz9+LGqTU15eLkriBFByqVQFXg8ePGCtJ1++fGFlvLy9veHj48P5O5qmERsbq3ZOUigU0NXVVclFBJSZ7ubNm5MyfmlpKStRkZSUpDL7yGh0icHVq1dF0SXS0tJY1+Dfib99UAUoo/fk5GTs2LEDo0ePJhonzMvR0ZEEPA8ePMD69evRrVs34obNjJs1axaKiopA0zSeP3+OdevWkV17vXr1YGxsDA0NDQQHB5PdRFZWFkJCQsg4a2trdOnSBRoaGti6dSu5WYuLi7Fr1y5CfG3RogXmz58PmUyG7du3k3FVVVX49ddf0blzZ1CU0nD28OHDsLe3ZxFZaZrG77//To73448/4smTJ1i+fDnHh+z+/fvo1KkT0a4pKirC3bt3Od07Hz58wMCBAyGRSLBo0SKUl5ejsrKSs2OuqalBWFgY9PT00KpVKxIYqrJHKSoqQmhoKBo3bgyJRIKhQ4fi2LFjsLS0VLnAfP36Fffu3cP+/fvh7++PBg0asH5LS0tLbNu2DcXFxXB3dwdFUSpT+swuqHfv3mrvm9zcXJKlUZf1u3PnDgnYhThCTJfL6NGjeccByg4tilJ6gvGBpmlC1Bbq+mLAmArzKabv2LFDZTdPRkYGunfvzjKdBpSZXka9v0OHDkhISMCZM2c4JtSfPn3CuHHjQFEUhg4dioyMDJSWlnKub2lpKaZMmQKKojBv3jwSGNQNEG7dukW6k1TZ37x9+5ZITNRdvJhntKKigujHzZ07FykpKcTkuHbHlqurKwIDA3Hz5s3/WKnhr8I/IwnBSDqIEbGsDSaDVtcIWAhMl6MY8+XaYH6zwMBA0X9TXl7+/9j77rCorrX7PQxDF6QKglKMInZU7Ncu9t57QRONDY0NNXYFI2IiNlSsiRKNig3FSOxdQMSGoiBYUECQPszMWb8/5js7c5hTxntz8/vud1nPw5MnsjlTztl7v/t917sW5s6di4CAAIP/Ji8vzyANNkAbiBjybFS0teJDQUEB1qxZI5glZxgGmzdvhoODg2DgsWDBAhBCeDv8NBoNLVXzGXTr6pTx8ZtYfbrWrVvzvr5SqUS1atUQEhIiGIimpKQYHFT+b0FlUMWD9+/f623GlpaWmD17NmcjycnJ4bTMst090dHRnOulpKRQ4hz707ZtWz3D06SkJHz33XecQK1Pnz56GYaEhAR8++23qFKlCh03atQoTumNLTEMGTKEc71ly5bp2cBER0ejUaNGIETbBWVlZaWXvler1dixYwdsbW3h7OyMQYMGoVGjRrwaKayFiY+PD37++We0a9eO90SYnp6OHj160IDUz89PUNVapVLhyJEjnG4sCwsLve9aF48ePcI//vEPjB49GkuWLMHu3bsRFxeH1NRUTptuxYyEUqmkWUlLS0vBDYc9xRFCBOG0pGEAACAASURBVMsIJ06coGMqZkIqwt/fn46tmFmsCNYmSSaTiabJ2Q4eljckBZVKRbN7hBDBkzzfxnDkyBHY2NjA1NRUsGQbHx9PVf7ZrM66desQHh7OyeT9/vvvqF27NiwsLBAYGAg7OzvqjamLAwcOwNLSkppODx06VO9+derUSTA4ZhgGkyZN4vj5AX/yO9LS0tC8eXNYWVnhl19+wfr16zneimyZ80vshv4ufIkNyKlTpzBv3jyDJUxY/aAJEyYYlAEF/jw0VK1a1eDvS3fjFipH82Hbtm307wzRRwO0hzo2iBAzuGZRVFSEdevWwcPDQ/LAVF5ejoMHD2LIkCGiQZVSqcSuXbvQokULQbqHRqPBvn374OzsjEWLFvGOycvLo04PQhpUGzZsoN/R+fPn9X6vK/LM12mo6xgxYcIEvd/n5OTQ3w8ePJg3cJo6dSoI0QpD8z1HGo0GTZs2xYABA3jnP6Cdw3v37v3bCelCqAyqePD69WskJCTg5cuXyMnJEawBZ2VlITg4GD/88APCwsLw008/YcuWLdixYwenPFVeXo5Zs2ahT58+8Pf3R8eOHdGmTRt07NhR79QWFhYGd3d32NraUmHIin6BgLbUYWVlxVncGzZsqGekmp+fz+moYgOwimU3jUZD0+yEaIX/+CZadnY2Ro8eTce1b9+et4SXlpZGXcQJ0bbB8qWIGYbBwYMHYW9vT8smYgva06dPOZlEmUzGyegZgpCQEM7fV3z/R44coadjCwsLwQBn3LhxsLe3R5UqVQRNRXWFNps0aSJql+Lt7Q2ZTAZXV1dMnjxZcJxSqYS1tTXkcjnc3d2xbNkywbG7d++m3XHu7u6SXU6RkZEc/SNDRPSKioo4h4YRI0ZI/s3Bgwc5zyRfqay0tJSabxNC4OHhwft+nj17hkaNGlG7nVWrVnF+f+nSJRBC9A4KgHZ+WFhY6J3U2WfE1tYW9evX17Oe+vz5M968eYMnT57g9u3bf5v325dkwE6fPo0ePXpg3759otIMAGjJ19jYGOPGjZMMesrLy6nLgKOjo0G8yx9//JHe72rVqhlk+rx//35qlF6jRg2D/uby5csczSIpg261Wo2QkBDa6dmoUSPRz1JaWopNmzbRg/f69esFxxYXFyM8PJxSE4Sye2VlZdi+fTuVFGGlDiri1q1b1BrN0tKSt9Py3r171KZH6DVZ+gD7U1HuRa1Wo3PnzlSyhI+IHh4eTveohg0b6pVnGYbh3Ae+wEzXhqhGjRq8a//58+dBiLbRZNq0abxcwfj4eJiYmMDf3x/R0dH/X+1tKoOq/8VgGAbFxcXIysrCy5cv9SZ6UVER0tLScOfOHZw5cwZ79uxBREQEZ+HNycnBpUuXsHfvXixfvhzjx49Hhw4dMHr0aE42ITs7GwsWLIC/vz9VSjcxMdHLBOXl5aFz586cCTlw4EC97EBJSQk9hbA/FUtCLM6ePUs3fnaRFgo+0tPTce7cOWzfvh0LFy7E8OHD0aJFCyxfvtzgiaRUKjFo0CDUqFGDlzdUUFBAS2AvX74UXMhTU1Mxf/58NG3aFLm5ubwb3m+//UaF/VJTU0XLLJGRkejXrx8GDx4sSubMzc3F06dP4enpiTVr1ogKUj59+pQa2ebm5koKKGo0GmzcuBF2dnbYv3+/QZvY9evXOSrPfME4C7VajcjISLi6unKeDb5gSKPRUNsU9sfX11ev3KFWq2ljASFEjyjNSjV06dIFycnJdAPJzMzE1q1bYWZmxpkLup6Rcrn8i0yG/xl8iVRDbGws/Pz8MGPGDERFRUnyjFihShMTEwwYMAC//vqrIH/rxYsXnCxc9+7dRYNF1vuPDUSkZBcuXrxI9coOHz5sUCYtJSWFbqpZWVkGNa1oNBrs2LEDJiYmqFevnqQvYXx8PMebdcuWLYJjWesUdqy7uzvvoZJhGISHh3M8ZEeOHMl7zYsXL3Lmg6+vL+86cf78eU4FhS9LpdFocODAAZoFrl69Ou+12PK5vb09rK2t9Z5BtVoNjUaDWrVqYeHChbzZvri4OPz6668ghCAnJ4d3/fP19YWnpyfat2+P8vJyvXnEeqCygfaBAwd4O1x1K0LVq1fnpYqsWLGCE6CtWbPGoOauvxqVQVUleJGVlYXY2FiEhYXx1vZfvXqFyMhIjB49Gi4uLryZqPfv3yMiIgI9evSAQqGAsbExb7YA0AYo4eHh6NWrF8zMzODj42OwgvKXIjU1FTKZDIcOHRKs1+/Zswfm5uaSm+nixYslBTOLiopgZGRkkPzBkiVL4O3tLTkOAFq1aiXpOwZou84IMZzoO2TIEIO6Clm8f/8ezs7OaNGiBdzc3CT5OZcvX6ZWKBYWFrh9+zbOnz+P4OBgTtMEi/T0dOzevRsjRoyAg4MD/P39OWVJjUaDy5cvIyAggJ6MXVxc6HOr0WgQGxtL/51toff29oa3tzfGjRtHr1VQUEA3TYVCgUGDBuH06dNfbEOTn59PM91Swf6dO3fQvHlzdOrUCQEBAVi3bh2ioqJw9+5d3r89cuQIp6Tv6ekpmNlQqVTUSoYQrSK1WNfv2rVr6VgpaY+8vDxYWVnBxsYG9evXl8yGZWVl4fLly+jZsydatGhhcKDK8hINFf9kGAYNGzbE2LFjkZGRIamCX1hYiHr16qFOnTqwtLQUXXcYhuH4s4rN6YyMDBpUWVtbCxLTy8vL0bFjR3pNPisbQPt9+/r6QiaTCWapAODw4cMghKBbt26CAqFv3ryBiYkJtm7ditOnT/OOKSwsBCFEr2tTFyy9QIhYfv36dVy4cAGEEEGieFBQELp37w5CiKCALfsMEKLlnPLNi/Lyco4m3YoVK/5txuZiqAyqKvEvg2EYPH36VPQU+fnzZ0RFRWHGjBmSHIySkhLExMSI8qX+FUyfPh01a9YUzQYFBweLdr+xWLFihUFBUIMGDQxq3z58+DCMjIwMEkXs37+/qJgmi8TERBBCBDkJFeHm5obVq1cbNFalUqFTp07w9PTEp0+fBINmFikpKfD29ka1atVgZWUlavPBB41Gg8TEREEbj5KSEhw5cgR9+/ZFnz59oNFo8OLFC45PZXBwMN0wCNFyfNjy39ixY9G4cWP8+OOPBolYCqG8vJySgNng0cXFBc2bN9fjUgLazemrr77iZOX4jM9Z6NqaSLX7v3v3DtWqVYNMJoNCoUBoaKhgdkypVKJ+/frUZHvBggWimbTg4GA8f/4c1apVQ9euXUXnFItbt25JZjR1wWpPSWWcWLCHiNu3b0uOZRgGQ4YMgZ2dHdLS0ngVvVloNBrMmDEDRkZGWLNmDVq2bCl4f9LS0uDt7Q03Nzc0b95c0Dy6pKQEffr0gYWFBcaPH48xY8bwjisuLkbbtm3h7OyMM2fOCHKpXrx4gSpVqmDatGkoLCwUnPOBgYFwdnYWXWfY+yTGVSovL4dcLscvv/wiOIZhGDRq1Ii3hAhoD7kFBQWYNWuWqEVP//79sWfPHpiZmWHUqFG8AdOjR49gYmKCWrVqwdLSUvR+/rtQGVRV4v8sMjMzOdpVarUaOTk5MDc3l+wkmjNnjkHE2LVr18LLy0ty3MSJE0U7CVk8ePAAhBDe9HZFTJkyxaBrsqdJQzaZzMxMEKKvLi6ExYsXw8TExKBW//Pnz8PGxgbNmjVDZmYmNmzYYFDp6/Pnz5JyFHzIzs6mgf6DBw9oiXns2LFU6oItX2s0GuTm5koKXApBaHM9e/Ys5QsSovVhO3jwIK+eW3Z2Ntq2bUvHOjg4YMWKFYIkaJajxGY5hg0bJpjNuXTpEmbMmIHVq1dDLpejW7dugny569evIycnB3v37oWxsTFGjBghyOViP/e9e/dgYWGBSZMmGZSB8vf3R+vWrQ0ay8qbGNpmP2LECDRr1syga4eEhMDIyEjyeddoNJg8eTLkcjltphGiKDx48AAuLi5o0KABMjMzcfnyZd4AID8/H+3bt0fVqlVx48YNZGVl8fohlpWVoXv37rC1taUWR3wl3LKyMjRr1gyNGjUSDZY+fvwIc3NzXpNjXURERMDCwkI0UFar1ahVqxZWrlwpeq39+/dDLpeLNtWUlZXB19eX10waAD3kxMbGwtTUFGPHjuX9Xjdt2oT8/HzaGLFixYp/yg3hn0VlUFWJ/0iImbGWlpYiJSUFsbGxqF27Nt2kTE1N4ezsDBMTE97JHR8fTyfz6NGj0bt3b8HXZl//hx9+gJubm+B7ycrKwr1797Bt2zbRTkIW4eHhMDY2ljSyBbSinlJ6ToC2PMdyMKSCk6NHj0Imk9FxYtktlndWURahIhiGwcaNG2FkZISRI0dSLo2h5Z/i4mJ4eHigWbNmmDt3LqKjowWznTdu3BD83bVr1zBeocBbhQKMTIY0QjCvenXelvScnBxRsnZpaSliY2MRGBiI3r17i248mZmZtFmkd+/ekMvlsLS0xLhx4/D7779znonS0lIMHToUs2bNQlBQEKpWrQozMzNMnTqV9wTPZrNOnDgBLy8vmJmZ4fvvv+cN2tgA89atW/D09ISDg4Ng6YfFhQsXUKVKFbRv316SnxIdHQ2ZTGaQhAHr5ydFIgdAeTuG+Aq+f/8eCoVCTxCSb1ONjY2lvp5iUKlUGDt2LBQKhaSGXFxcHKytrdG+fXvRMuKHDx/g6+uLatWqiT5nKpUKgwcPhpWVlWRQGRgYCAsLC0nPzKCgINjZ2dGyqNBaOn36dPj5+WHPnj2C17p8+TLatGlDtdsqgg3ylUolqlevjsDAQNH3lpKSQjvtxXDu3DmYmJhgwoQJvBws9r9btmyBXC7HoEGDDDZD/1fxXx9URUVFYefOnbhz5w4n+o+MjOSUMlJSUrBp0ybcunWLE0W/ePGCt4Pv4sWLeqeJinyRc+fO4dixY3qTr+JD/u7dO0REROidLPmIfwcOHBDtMGNx9+5dQWNXXZSVlSEuLk5yHHtNQ04EmZmZBrVhq9VqQfJrv379OPdh9uzZaN26NSVosj+63JPatWvDzs6OV2EZ0J6mWLJ0t27dBNWrnzx5gsGDBwPQnoqqVasm+BmSk5PRvn17qtkiteB16tQJ7u7ugul9XQwZMgSmpqaS44qKiujnl7L6WLBgARo2bAhAywlhP2dFlJaWwsXFBWPGjNF7BisGrGFhYZDJZAgODpYMpL7++msMGDAAXbp0gZ+fH+rWrYvq1atTb0b2RyaToWnTpli5ciUiIyMRHR2Na9euISQkBCYmJhg6dCjOnTuHt2/fIiQkBJcuXUJpZCRUJiba5ex/fjRmZni5ahXWr1+P0tJSXLx4ESNGjICJiQkOHjyIu3fv4uzZs9i/fz+WLVuGrl27omXLlrTTkBACLy8vDBgwAEOGDMGIESMwZswYjB8/HkuXLqWfS6VSYfHixcjJycGHDx/w448/Uo04V1dXDt9Eo9FQ3aPCwkJs3rwZnp6ekMlkos9FWVkZQkJCYGVlBTc3N1GO0+fPn2kXr5CBL4ukpCS4urqiTZs2kvfvp59+0uPPsIKyFdG1a1eDVK4XLlwIQohkAAho56OtrS1n7T106JAen5B9focNGyb5mZYvXw5TU1OcPXtWdNyzZ8+gUCgwePBg0UwRwzBo2bIlPDw8JBtBgoODYWpqKqnmzpb4K97LzMxMTjCsVCrh4OBAy/sJCQlYvHgx7zU7dOiATp06iermbdq0CfXr10fr1q15f7979278/PPPALRZQTs7O866nZ+fr7desC4HUtn6M2fOQKFQSLpeXLp0Cfb29ujUqdPfYrD8Xx9UTZkyBebm5nQDrlu3LoYPH46+ffuCEIIuXbrg5s2b1FeL7aRp2bIlZs+ejYiICEqeS01NRVFRETw8PCjRtU2bNggKCsL58+fRunVrDB06lHYfff3111RAtFWrVli2bBmuXbuGsLAw9OvXj447c+YM7cpp2bIl1q1bhydPnuDVq1cYNGgQJeQWFxdT7kiHDh2wZ88eegrfsWMH5zQ9ZswYEKLVwdIlrlbMZLBaJcOGDRPNDn348AHm5ubo37+/ZDakW7duqFevnuj1gD8NfqdMmaJ3yqhbty4nOFq4cCFmzJiB0NBQ/Pbbb7h//z5ycnIwZcoUeHp6wtzcHG/evMGHDx8EA7qIiAiYmpri+fPnKCkpEdyUHj58CEK0KsNi4wDtSY4QgmPHjknahjAMA3t7e3Tt2tUggiWrKi7FY2EYBhcvXgQh/CJ+ulCr1Xj37h0YhkG3bt3QvXt3wbEJCQl62mjLly/X6xTKycnhtRhRq9V6m8CIESMwbNgwTJ48GXPmzMHy5csRGhoKX19fWj4LDg5GUFAQGjVqBFdXVz3dKN0fBwcHGgCl6QRTuj9p/8N5YiUC+H4UCgVcXFxQq1Yt9OjRg8N/8vHxwfDhwzF48GD0798fffr0QY8ePTBlyhTR7xrQ2t4sWrRIsimD1WkzpCz77t077Ny5U3IcoM0CSRHMAe3mbIh2E6DN1uhuXq9fv8bUqVP1yMXp6ekGZQ86deoEZ2dng+QkNBoNhwP0xx9/wMbGhvewd//+fUFbrezsbJpR/fTpk8EClMePHzdo7t65c0e0cYT9/goLCwVf+9KlS5zvr2IDwqtXr9CkSRO9z56ZmYn8/HwUFhaidu3aWL58Oe/1S0tL0aRJE14nAhbjxo2DpaWloFDpzz//DGtra6SlpVEZkoqf09fXVy+41P0sGRkZgqXqy5cvG/QMvXr1yiBbtr8C//VBFaBd3J89e4aoqCgEBQWhV69eNIBif3r16oV79+7h2bNn2LdvH6ZOnYomTZpwMiEKhQJz5sxBbm4u0tPTsX//fkyaNInTgkuI1ql+9erVKC0tRXZ2NqKiojBp0iS6qLPXtLS0xMaNG6FSqVBUVITjx49j/PjxlKPBLuwODg60zq9UKnHixAkMGDAACoUCFhYWGDNmDL766iu0adOG6mdpNBqcOHGCKq+3b98e586dQ1BQkN5Gd+rUKdSsWRPW1tYIDw+HWq3G48eP9TJxrJmoj4+PKLnx9evXqFOnDjw9PXlJu7qIioqCra0tvLy86OKSn5+P5s2bgxAieXpMT0/Hd999B7abSQybN28G2zUjdqJJSEgAIdrWXqkN6bfffgMhBHXq1JEMft68eUOzMFL+jaWlpTRYMGSjZTXI+ET6+LB9+3ZarjIEGo0GM2fOBCHEoEzphw8f0KVLF1GDVRbl5eVYvnw5EhMTBe9LcXExMjIyqIyHvb09evfujTVr1mDTpk2oXbs2NAJBlYZoVZ/Hjx+PFi1a0KzYokWLkJqais+fP/MaBCcnJ2PVqlUYMWLE/5cuo/8k+Pj4oGfPnoLq30IoLy+nz7khpUJdJCcn087EL0F0dDR69eplcFbjxo0bkgdEQHtglcoUMwyDI0eOCIogA9oA+/vvv0eXLl0Ex6SkpMDNzU30UDR+/HgQQgQzPayGlLGxseDaxYpGCxHx2fWvXbt2gnOkd+/ecHFxEVSlVyqV8PHxEW1cUqvViImJ+VsyUVKoDKp48PbtW9SoUQMeHh5o164dRowYgXnz5uHHH3/UI40GBATQYMnMzAw1atRA586dER8fzxl37NgxvdOvl5cXTp48yakBJyUlcYithGhFI3XT6SqVCleuXEGbNm0444YOHcp5f9nZ2di8eTMaN25Mx9jb2yMmJoaOYRgGcXFx6Nq1K/0MhBA9A8+ioiIsWLAAxsbGaN68Ob755hv0799fb6K8fv0avr6+sLGxQUxMDG7cuMFb8srKykLjxo3h4uKC5ORklJaWCp523r59i+7du0Mmk2HhwoVYt24dVf12cHCQXNB01dPFyNq6CsOHDh0SHMeW8gjRKsGLgc1kii08LGJiYuhYoRIlC10142nTpomO/fTpE72vjRo1Eh0LaLtxLC0tQYjWvkgK5eXlGDt2LAjReixKLWzXrl2j1jmGdnQZAoZhaFMCwzDIzs6mVjZimarXMhk8PT3Rrl07/PHHHygrK8OdO3dw7Nixv+y9/V/B+/fvMXfuXMEOLSHMmTOHrmWGSnsA3Lkm1BnHhzdv3tBDqiHPMKCVLBg3bhwIIdi9e7fk+OfPn2PQoEHo2LGj6DOvVCoRHh6OatWqiTolPH/+HP7+/hy+U0VkZmZSiQwhpfjk5GRasRAyMGcV8cU4kQMHDqRj+OZpWVkZ1XOr6EjA4uzZs/Qaa9as4X0d1vPU0dFRkF82d+5cEELwzTffCGYXv//+e7Rs2VJSL+3fjcqgigdKpdIgbpBSqURCQgIyMjIkDVEvXLiA6OhoxMXF4e7du3j69CnevHmjdwq+c+cO1q1bh9DQUISHh2Pnzp3Yt2+fnmjf+/fvMWLECAwYMAD9+vVDnz590KtXL4wbN45jNVFcXMxRNmd/Fi9erJeO1xVPI0Rrq1Lxe3j48CEnmJs2bZreZCouLsbIkSMhk8nQrFkz+Pn58eqK5OXloW3btrCzs8Pq1atFVcQZhsG2bdtgYWEBIyMjms2Ty+WS5bLhw4eD/E+Jp0OHDoL3dvXq1TRTWKdOHcGSDNtqTIhWcVusNMDq/sjlctSuXVs0sxUcHAyZTAZjY2N4eHiIprXnzZsHc3NzmJiYwN3dXfR5DQsLo3o5JiYmomUUtVqNTp060WzNoEGDBMcC2oxZv3796PcxatQowbEMw+CHH36gKsyGBHh8KCsrM0jp/fHjx4iNjcWJEyewYcMGBJibo6hCQFVECDb5+aGsrOxfklD4T8bNmzf1FLXFsH79emrafv36dYOyA6xOGCFaDpmhNjUbN26EQqGAkZERXFxcDMp05efn0wwKIdKm6ICW38oKcNrY2Iiu59nZ2Zg5cyYNKIS8DNmsE1upEMqUl5SUYNmyZXTOCZXjTp06RcVTzc3Neb+L+Ph4zqGcL7v34sULzhiW86SL1NRUjnMFn3F7fHw89T51cHDg5d7GxcXRa1SpUoVXq0p3jJ2dHW8n8ePHj+kYb29vvaQFoL3v7Ofq16+fwX6MfzUqg6r/AjAMg4KCArx+/RpJSUm4cuUKoqOjORmk4uJi/PTTT5g2bRo6d+5MF5hhw4ZxNuGPHz/qZciCg4P1XlOlUlFBN0L01bJZFBUVUTVumUwm2pqflpbGUXM3NTVFtWrVUFJSIiqwuHDhQkyYMAEeHh5QKpWCY9evX48ZM2ZAJpPhw4cPgsHHtWvXMH36dBgZGeHXX38VVYbesmULli9fDplMhry8PFEC65kzZ7B161YYGxujuLhYdANJSEjAmjVr4OnpiTdv3ogGYB8+fEBYWBicnZ1x48YN0YBEpVKhrKwMLi4u6NOnjyBZn0VWVha2bt0qeeoFtCfxCRMm0LEhISGi12ahVqtx9+5dhISEoFu3bmjQoIGgkKJKpcK9e/cQFhaGgQMHIigoCAzD4Pr16+jYsSNGEoJ0QsD8z3/HyuW4ceMGiouLsW7dOjRs2BCzZ89GdHT0v0189u/A/fv3kZCQYJDeWUZGBqpXr4569eph7ty5uHDhgujflZeXc7LfrVq1ktSUKy0tpdzVNm3aSBKvWdy4cQO7du2CsbExCgoKDFJULywsxJUrV2hmXqo79cmTJxzFbrEOtatXr9LAhhB+eyVAu8HrenkqFArejuPS0lKMGjWKBieWlpa8nM+PHz9ixowZ9HqjR48W/CzsIVK3i1cXJSUl+OOPP0CIljPMd+/y8/Px/PlzGlDxWd0kJiZSw/K4uDjeQ8nNmzfRs2dP0bWysLCQHpKHDh0qmL1u1aoVPaAGBgbyrnkbN26k35GRkRE2btz4t5cEK4OqSgiisLAQCQkJehyZgoICnD59GrNmzUK9evVAiL4Sbnx8PPr27Usni7GxMe/p4vr165xTU9u2bUV5M8eOHcPo0aM5voexsbGin4NhGFou0/VkrAiVSoVPnz7RBUAIbLDVunVrSY4SwzCUKyXk+6UL1qfOEI6GlJyDLubNm4emTZsaNJZVL05MTDRIH6pfv37w9vbGwoULRU+HGo0GXbt2haenJ1xcXCQVsjUaDZYsWaJnYcTH10tISIC/vz/nudA1V05JSYGpqSkCAwMxcOBAnDp1Crdv34aNjQ3NDDAMQ3lh7Kbk5+dnUJfs34HU1FTs27cP586dQ2JiIt69eyd4QMjNzUWLFi0gl8tRt25dDBs2DKtXr8bZs2d551dCQgIt+bKbu5iS9p07d2gg4OrqapDa+aBBgzBr1iwoFIov8ko8efIkCCGCZR8+TJ06Fe7u7khNTeVdd3ShVqvRu3dv2NnZQSaTiZY2VSoV+vTpQ58PsYzbkSNH6Pc5a9YswXHHjx+n2Xexsv+3334LKysreHh4CK55WVlZqFKlChYvXoxvvvlG8FpTpkxBw4YNoVKpBGkXbHOLWIONRqMRlYDJz89HeXk5OnXqhCFDhgheZ9q0aVi6dCmsrKwED0y7du1CzZo1IZfLBQ9kpaWltOzr5uYmeK1/JyqDqkr8y3jz5g0OHTrEe3J4/fo1li5dCmdnZ9SrV4/3BPzhwwcsWLCALupi6rwsysrKcPbsWdjZ2cGQ56SwsFBS+ZdFixYtREuRLFatWgVnZ2eDSsVubm6CnAJdsKKUhgh1Ssk56GLUqFEGta8DwPz58+Hh4WHQCe/cuXMghODcuXMoKysT/Zv169fD2NgYt2/fNqgTh2EYHDp0iJYLLS0teW1sAG0Q0bJlS7qJ9ejRg1rZMAyDzp07o0GDBigvL+dkoFauXAlra2vadq7RaOhJnxAtwVZ3Uzl27BgCAgIwdepUzJw5E3PnzsXChQuxc+dOzmd/9+4dHj9+jMTERNy5cwfXrl1DXFwc/Z5YKJVKrF69GqNGjcKECRPw9ddfY8aMGZgzZ45eOYX1k2PLTuzG3r59e96yckFBAScDY2RkJKpifubMGXoIql69umQ2aebMmfD29oa5uTm6desmGYBnZ2dDpVKhadOmaNOmjcGCjGzWyZCDRR4PWgAAIABJREFUBqANLExNTbF582aDxi9atAgKhQLXr1/Hpk2bBMep1WqMHDkSZmZmWL9+vWip+9SpU1AoFAgICECzZs0EA5erV6/C1NQUU6ZMwZw5czjUDV2wWl2HDh3S0zbTxTfffANnZ2cUFhYKBtxlZWWwtbXlrTDoYteuXQZZddWoUUMy67x9+3aYm5sLZtTVajWKioqo5RkfCgoKcPbsWfzwww8wMjISlPrZvXs3pk6dilq1asHHx0ey6/qvRmVQVYm/BeXl5Th69Kio1szHjx+xcOFC1K1b1+BT6Q8//AAbGxuDzFlbtGghenpjsWTJEri7u0suJvfu3QMhxCAV7iFDhhjUSVdaWgpCxP22WGzZsgV2dnaS4wCgY8eOgouVLhiGwVdffSVJlAe0AYG3tzf69esnOZY1KTa05MeSdgnRdt4aGxvzns5VKhW2bdsGe3t7ODg4wNXVFe3ateNwYg4cOABCCG8g9/nzZ9ja2iIoKIj+W1lZGbp27QofHx9Ur14dNjY2CA8Ph0qlAsMwiIyMRJUqVTgl8B07dnA2sbdv32Lo0KGcMYQQzJgxQ+89lJWVYf78+TTzQ4jWOuf27du8z+CVK1c4xrqtW7fGkSNHOH6ILIqLi6lZsJGREWxtbbF69WrBAGjr1q2oWbMmevXqBUIIAgICBEU/CwoK8Ntvv+Hu3btwcnJCo0aNBIMCXcTHx0Mul2P79u2SYxmGoS4DhjY1LF26FHZ2dgatIYcOHQIhfxLThea8Wq3GuHHjYGpqitjYWDAMIxjknT17FiYmJpg4cSI0Go1gdjw5ORlVq1ZFv379oFKpBEuurPWM1NqVnJwMIyMjPeHTimAzf1LZxSVLlggS0HVhiAfphw8fDPI/3bNnD4yMjESzwwzDYNCgQXB0dOR93lQqFd69e4eMjAx4eXmhfv36gq4E/w5UBlUCMES7BYCkWSoLhmH+V7R7/icgOztbUlKARUZGBmQymUGdWvPmzePVXGEYhnNqZrWlhGQhWO6ARqOBo6OjqIL0/fv3wTAMQkNDYW9vL/kMHDx4EE5OTqInZhYREREwMzMz6LmqU6cOVqxYISlBkZycDEIIJd+XlZUJni5DQ0NhYmIiea8+f/4MLy8vdOnSRTI7UVJSgu+//x4mJiaoV68e1aHhKy9cunQJjRo1grGxMQIDA/Hp0yesW7eOM3dzcnLg4OBAN6SKvJabN29i3bp1sLS05Cy8BQUFiIyMREFBAebPnw9jY2M0adKEBmZpaWk0C8R2VtrZ2WHixIk4ffo03SDPnDkDd3d3TmBVr149zJkzB+fOneMEf1euXKEad2zW1svLC/Pnz9cLsDIzM+Hn5wdPT0/07NkTMpkMTk5OWLhwod79UCqVGDJkCE6cOIElS5bAysoKdnZ2WLt2LS9v79SpU2AYBocPH4aTkxOcnJwQFRUl+py9evUK3t7ecHV1xYMHDwTHsZg3bx6sra0lOwFv375Ny9FChHBdFBYWwtbWFsuWLZMce//+fZiZmUkGBBqNBgEBAVAoFJLzh1X6HjdunGjzTEZGBhVUFTsQlpaWwtfXF40bNxYdxzAM/P390aRJE87r8t2zYcOGoV27dgAgWq4fNWoU2rZtKzqmoKAALVu2FG1oYTseu3TpgoEDB/K+dxZqtRpNmjSBv7+/4PUA7ZpSp04dtGrVivcwweL169fw8PBAw4YN/7ZGlP/6oOr48eOIiIjAmTNn8ODBA2RnZ4NhGCxevBh9+/ZFbGwsFZTbsmULzpw5g0ePHtFT0P3799G9e3d6egG0GYTjx4/j4cOHdNFkGAYjRozAsWPH6EP/+++/49ChQ0hMTORMmN27d2P//v1UG+Tdu3eIjIxEQkIC5wFKS0vDkSNHOBtVVFQUkpKS9DaviqeShIQEUd0fFkql0qDFjH0/hkCpVIpOBF0YEjB06NCBU6/XaDS812dPaBVPLQzDcFLhSqUSlpaWgma/EyZMoJvRmDFj6ALFh+DgYBw4cIASOqUUlDt27Ii6desaZL4cGRkpyQFhYWVlhe3bt+Orr74SPcGvXr0aTk5O9BkNDAzk5SV8/vwZ1tbWemrMnz590tsop0+fbpD0RVZWFjw9PWFpaYkNGzaI6np9++23IITA39+fs+hXfF5mz54NJycnfPr0CadOndILVjt27IiUlBQ4OjoKKksD2u4j1mOP5WBpNBqEhYVh/PjxSElJQUhICNV9s7KyomrzRUVFmDdvHmxsbHD27FkEBgZSLqKpqSm6du1KszCfP3/GxIkTsXfvXty6dQvfffcdDbTc3Nw4z2RpaSn9POnp6Vi6dCl1FOjWrRunzMjyBQFtoBkUFAQrKyvY29uL6pzl5uZSWQopnbfc3Fy0b98eVapUkXwmWZFkIXsTFpGRkZg2bRotMUth69atMDMz48zxmzdv6r2f0tJS1KxZE507d5bUj1u5ciWMjY1x8uRJ0XHJyckwNTXFmDFjRAMqjUZDRTWlrH8WL14MKysr3gOe7p7BcjF1S2K3bt3S43wVFRXBzMwM27ZtQ2FhITp37iz42m3atEHdunV5uwNZXL58GW5ubmjZsqXgmB49euDjx49UXLniIS0hIYHTFch2A+o6mvDdo0ePHsHCwgLff/+94GsD2n2pZs2aaNWqVaWi+t8RVE2aNIlD0GQXOrYFnRCtvcekSZP0BEEdHR2pCCUhBPXr18f27dv1rFJcXV3RoUMH1KxZk14vIiICU6ZMoRwG2f9o5fTs2ZOm3j09PbFjxw6cPn0apqamtIukSZMmmDhxIsLCwugJ+uzZs1AqlXB0dKSn5oEDB2Lz5s14+PAh+vbti1mzZlE+CduF5ePjg1WrVtHNPjo6mpNmZ8XbevToweGzVHw43717BwsLC0lXe7VaDV9fX8l6PgDMmjULEydOlBz39OlTvcXp66+/1usUKiwsxJMnT3gnlo+PDycb8uDBA8F0fLdu3ShB/dWrV6I1+yVLlqBatWr4+PEjkpOTRRdbhmFgZ2eHPn36SC62wJ/ifELBn+51U1NTqbipmJ9fSUkJzTSw3n5Cmapr165xfpebm4vmzZvrZXmzsrJ4S2+ZmZkcjhvDMFi7dq1guUSj0dDM8PHjx3H69GnBRZLdcHJzc3Hr1i3k5ubC2dlZT1G+du3aGDNmDG7fvk0/i9A9YjleFblGFe9VRkYGNm/ejIULF3L+PTExkfN9ZWRkIDIyEsOHD9cLXHV5XwzDID4+HosXL5Ysn5SXl+P48eNYsGCB6DhAm3ENCgoyiKsUFxeH48ePS44rKyvD9u3bDdq87t+/L0kkXrhwIczNzXHz5k1J2Rr29XUPgU+fPoW9vT3vM3zhwgVBd4UPHz7QZ+3t27eSGSpAe5/27dsnGVABWqV3oedcNxDKycnRe940Gg3mzJnDOShrNBpOcPz8+XM4ODjwZmceP36MvLw8zJ49G+7u7oLv9dGjRzA1NRU94LHafmKyMo0bN8bYsWORl5fHW8LNysqCk5MTRwj6999/5+wjf/zxB2+2Oi4ujt5DMR7Zq1evDLZb+1fxXx9UAdrJkJ+fT3Vt9uzZg9atW3MCI09PT4wZMwYPHjzAgwcPcOLECWzatAkjRozQ4014eXnh2LFjSEpKwrFjxxASEoLJkyfTlmL2p1q1alizZg0SEhJw9OhRrFq1CiNHjtSzy3B1dUVoaCju3LmD/fv3IzAwEB06dIC1tTVnXNu2bREXF4f79+9jw4YN6N27tx73w8nJCXv37oVKpcLVq1cxbdo0GkD6+fmhX79+MDc3R0REBC1ZxsbGws/PD4QQDBgwAElJSbh165Zehxzraj9y5EhRLaTly5fD0tJSMvW/bt06ODg4/FMO49OnT4ePj49BXUkA0L17d5iYmOD69euSYwcMGABCiOQGB2gzJYQQgzJPbJegsbGxQRvd4sWLQYi0lhSgzb6xGQ9DFNjfvHkDBwcHyGQyg77/nJwcNGnSBHXr1pUcC2i7PqtVq8Y5jYrh6dOn+PrrryXfS3Z2NsaNG6e3YbE+d1u2bOH8O3sI0bVgOX36NHUOqMQ/D5ZY/K9kBwYNGgRChEUsxfD27Vu4u7ujevXqX/R3x44dw7Bhwwwa+/HjR4SFhUl+xg8fPmD27NmiJTylUon58+eL6mqVlpZiyJAh8Pb2Fn2tWrVqwcbGRvB9sd2brq6ugtcJCwsDIQQdO3YUHDNs2DAQQvQOELpghZqFup8ZhoGVlRVq164tWKIrKSmBhYUFli9fLviZSktL0atXr79UUPifQWVQxYPi4mLMmjULP/30E65cuSKqV7N27VpMmDABGzZsQExMDF6/fs170y9dukRb8IODg3H8+HE8fvxYL/jIz89H06ZN4efnh+HDhyMoKAi7d+/GH3/8oVe2YjdVGxsb+Pj4oGvXrhg3bhzHzZ31DKsY+LVu3ZoSrMvLyxETE4OxY8dyjGsHDRpET+EMw+DkyZNUVM/Pzw9GRkZ6ljaxsbGwsrJCx44dkZeXh+fPn+ttTiUlJXB3d8fIkSNF7wNLUF2yZMkXO4yfOnUKhBA4OzuLal+xYFXXHR0dJW1WRo0aBUII9bQSA6u4L5fLJdvI2U46QohkSpsllLOkZqkAQFfZXcx1HtBmathSl5WVlehYQBvIsLpFUuUc9r0oFAo4OjpKvm+2O87ExETUz45hGERFRcHR0VFvQzx+/Dj97Nu2beP8Dfu8t2zZkgZs5eXlcHNzQ6tWrUQVsCshjTFjxqBLly4Gi31WRMOGDWnm/UskFT5//kyfSbGgQBd5eXnUGUBMUgXQzpFt27ahatWqouUxjUaD3bt3w9bWVlDUE9BKfrAG20LPXE5ODtq2bQtCiCAPrLi4mJaghfbP8vJyuo4LdQ8zDIM6derQdU7oMOPp6UkP60KUDlb89KuvvhLM/jdp0oTuS0KBZ+/evUGIVqNL6NC+aNEimJiYICQkxGC+81+NyqDqfxkMzcqwJR1DFpoTJ07gp59+QmRkJKKionD69GlcunQJ8fHxnABw//79tH2d/alRowbHr0qj0WDv3r2csmVERATn9RITE+Hi4oL69etjxIgRnI2MBWvbI2YpwDAMqlevjs6dO8PGxgbfffedQb5ygDYVrFAoKOn3zJkzouNZNXWWSCzWqKBre9OmTRvRyctmMo2NjdG5c2dJyQFCtF1abm5uotm+hIQE+vlkMhmvUjGLsrIyeHl50XsrJMTKQve7cHZ2Fh378eNHuvERIm7Fo1Qq8c0339CxUrIVd+7codd2cHAQXGzfvn2L/v370+vqlho/fvxILTsIIZxntaSkhP67iYkJp7zAljWMjY2xZMkSg0Q0K6GP58+fQy6Xw8jICN98842gtAAfNBoNbQIwNzfHjz/+aNDfKZVKKihMCDGo6/XixYuoUaOGZIAAaMnzTZs2pRUMofn/5MkTailTkefFgmEY7Nmzh1JQ/Pz8eK/FNgKwn4mvi1qtVnPcDYYPH857reDgYLp+29vb8465ePEix6icrxklOzub/t7MzAxHjx7lvRb7vcrlcixdupR3zJAhQ+i1Bg4cyHvY2rJlCx3Trl073qxWeno6/WwtW7bktUj7d6MyqKoEBwzDUKPn9PR0PH78GPfv36fBHsMwWL16NerWrctpAa/IVUlPT4eXlxfNpFXkTjAMgy5duqBRo0a4c+cO7ty5w/t+Jk+ejGbNmsHX15cGHAMGDMClS5ckU+5stqVq1aqIiIgQXSj3799PlZJPnTolyLUAtORtPz8/VKlSBa9fvxZN6U+dOhWDBg3CV199hZycHFFS7OHDh7F27VqYmZkhOztbNEP6/PlzXL16lZbzEhMTBccWFBQgNzcXpqammD9/vt69qojXr1+jX79+qFOnDpo0aSI69tmzZ9TXjRAieB+BP9WV2bFiPJVLly5xbDKEMndZWVkcG6bmzZtznov8/HzEx8eDEC0vcNeuXfR37969w8SJE+Ho6Ijg4GAONy4/P5+WzmUyGUaMGGGQbMf/ZZw4cQJLly7F2bNnDeL8sdBV0be2tpY84LD4+PEjwsPD4e7ujlWrVhlspfPp0yfExMRAJpPB3NwcoaGhouMTExPp+kKI1khbCDt37uQcPIXU2m/fvs3h1gp5hN64cYPDyxWSmYiJiaGUFIVCwZu5LygowNWrV2FiYgJLS0tBs/L3798jICAA9erVwz/+8Q/eMWlpabSx5/z587zry7Nnz3DlyhXIZDIcPHhQsAmnS5cu8PX1xciRIwU5dIsWLYKlpSVMTU1x9epV3s/38uVL+j117txZsJyoe8Bq27btF1kw/RWoDKoq8U+jqKgIt2/fxo4dOzBt2jRO2XHfvn00k0IIwYgRI/T+/vHjx5DL5ahSpYogcZ3NaIWHh9PFzNzcHNHR0ZJZvXXr1mHSpEkgRFpQ9MGDB0hNTYW7uzumT58uOvbly5fIzMwEIUSSvKtUKqnvmSEaPqzyuyG6Knfu3AEhxKDsHeudJSSeqYu8vDyYmppi586dgrISLNRqNRo3boxevXph8uTJotm10tJSNGjQAM2bN4eLi4vo2PLycnTp0gVyuRwmJiaihGbWi04ul/OSWdevXw9bW1uoVCrO6VatVoNhGAwcOJBXGHXOnDkwMjKCXC43qPPsPxFPnz7F69evUVRUJHlI0Wg0mDx5Mp3TderUwfjx4yXlTF6+fEkFSzt27CjZbVcR/v7+kp2HFREUFAR7e3vEx8dLiphqNBr06dMH1tbWkMlkHMJ0ReTm5qJu3boghIg+w2q1GgMHDoRMJoNMJhOcR0qlEq1bt4aLiwvMzMwED1Lp6emwsLDA+PHj0b17d8H3FxoaCgsLCyQnJws+swzDwNXVFcuWLROlVURGRhok2eLo6Ch6UCsqKkJwcDAcHR0F1+yYmBg8fPgQ5ubmonIyzZo1Q//+/eHk5CR48L1w4QJkMhlMTU0N0tv7q1EZVFXi34aMjAx899131DpEV7wxLy+P1v7ZLEJFPHjwgBJVCdFyvKysrGBubo4uXbpI+oC9e/cOGo0GU6ZMgaOjo0Gn6w0bNsDS0tIgnbJ//OMfGDp0qOS4wsJCGBsbi3IvWDx79gyEEElrDeBPPS1DzIUPHz4MIyMjg7ItkZGRUCgUBvms7d+/H0ZGRkhOTpbcLOfPnw9LS0tJ6xCGYRAQEAALCwtcunRJVEfo+PHjkMlkCA0NRWBgIG82sk2bNqJcr40bN8LW1lZvwU9LS8PixYupLdKDBw9w8uRJTJ48GdOnT8fcuXMRFBSE5cuXY/fu3f/fdOgqvu7r169x6dIlxMXF4eLFi7hw4QLOnz+PmJgYvec6KSmJcvPMzMzg5uaGJk2aCIq0ajQayjtiOXeGWM5MmTIFK1asgLm5OUaOHPlFTQDTp09Hq1atDB7/+fNn2NjYYOXKlQaNX7ZsGYyNjXH16lWsW7dOcFxxcTHatm0LV1dXhIeHY+PGjYJjAwMDYWJigjNnzohaWc2ePRvm5uZ4+PChoGgnwzDo27cv5SQJzXeWCyilu8Vq0UlJ5axevRpeXl6iYwCgfv36onIkAGi2WGpdmz59OmrWrCm4lqSlpeHTp09wdnbG+PHjecdoNBoEBQXh4MGDIIRIiqH+1agMqirxb0deXh6Cg4PRtm1bzqael5eHdu3a0cWZj5swePBguoBHRUVh6dKluH//PlxcXODt7S2p+wRoywHVqlVDQECAQWMtLCwQFhYmOXbbtm2CbvEV0bp1a4Osb4qLi0EIwYkTJyTHnj9/HoQQg4LFRYsWwcfHR3IcoE3X9+/fX3Icq/VjiOzFtWvXIJPJJM1tAS3nQyaTUaNXobJtfHw8LCwsMHnyZDAMw/v8ZGVlQSaTiSrU3717F4TwE4TLyspQVlaG9u3bw9XVFRkZGdi3bx+vorpuUJaUlISTJ09ix44dWL58Ob7++mv07dtXj6yckZGBX3/9FZs3b8bixYsREBCA3r17w9/fn3MSV6lU+PHHHzF48GB07twZTZs2hZeXF2xtbfWysKWlpViyZAnHzoY9lPAFfvn5+bSjlf1Zu3atIP9JpVJRKx87OztYW1tj/fr1oryzd+/eQa1WIzY2FiYmJggICDCYP/rTTz8Jcn/48MMPPwgaE1cE28TAypIIBcas51/VqlXpAUKIz7pp0yZOdlzoIMNaz1T0TRV6j1JduwcOHIBcLpdsntmwYQNsbW0lA9tvv/0Wbdu2FR0DAJ07d5Zc21ihZCkpnZcvX8LIyEjyAMpK/Qh5ILLP1oIFC6gF0d+FyqBKANu3b8fVq1clH7zr16/j5MmTkkTWgoICREREGETUPHbsmEEEu2fPnhl0StRoNJLyBX8HSktL9Ra64uJiqsvFR7Z+//491Qc7ceIEnSyZmZnw9fWFnZ2dQW35hw8fBiHEoLFTp06Fp6cn773X3Qg+fvwIuVwuugCw9fygoCB89dVXkq99+vRp2NvbG+RbFh0dDUIM8wns1asXhg8fDoZhRPlXb9++hUwmw5EjR+i/CZ0aN2zYADMzM8myZmFhIby8vNCjRw/JbA670UgFtW/evEH16tXRqVMnUa7crl27eAUHdVFeXg4LCwvRoDs3Nxfe3t5o3LgxCgoKkJaWRg8EbPDi6uqKWbNm4erVq0hNTcW4ceM4vENCtN2R+/fvR3JyMlQqFdRqNfbv30817NifBg0aIDg4GL///jvNGKpUKuzYsYOjoSeXy9G7d2+sW7cOV69e5axDiYmJlFCtW7KbM2cOfv/9d873xjAMQkJCYGRkhIYNG8LKygrGxsYYOHAgzpw5oxewlpeXY8CAAcjNzcXixYthZmYGDw8PHD58WPIeR0dHQy6XY9asWYJjdd9bTEwMCCEGBUllZWVwcXHhlH2E1vDHjx/DysoKAQEBou+ZYRhMnDgRZmZmkpvzsWPHIJPJRDNegLbsamVlJWk98/nzZ7i6umL06NGi4xiGQcOGDTk0C6F50aVLFwwfPhwqlUp0/xg4cKCkYCbDMGjbti369u0rOObRo0dQqVQYNWqUYCem7hozfPhwNGrUSPJ1BwwYAA8PD9FmLdYs28nJ6W/jVv3XB1VnzpxBeHg4tm/fjp07d2LPnj3Yv38/PYk5OjoiICAAERER2LRpEyIiIrBnzx78/PPP+PXXX2mrupWVFYYNG4Zff/0VGzduxI4dO7B371788ssvOHr0KE6ePAkfHx8YGRmhQ4cOCA8Px+HDh7F9+3bs3bsXhw4dwvHjx3H27FnMnDkThGjFRFesWIG4uDhERETg559/RnR0NH7//XfcunULly5dglwuR8OGDREcHIy0tDT8/PPP+O2333D58mU8fvyYith17twZvXr1wvHjx1FeXo579+7h9OnTePz4sZ6a+9q1a2n2o7i4GHFxcXoTlPVB08WXkFdZPH78GKGhoRg1ahQ2bNgAQJvBunnzJuUEREZGUgK5LgoLCzFgwAAoFAq931UEwzDo0aMHvL29ORuEWq3WCwqePHkCQgjNlOjiwIEDHL5T9+7dRT39+vXr90W8qubNm6NevXqYP3++6Djgz0DRkADM1dUV69atw7Fjx0S7/8LCwlClShX6TLx8+ZL6oukiPz8fVatW5SX1VuzKmTlzJqpWrSoZ2CclJcHU1BTffvut6IKqVqvh5+eH2rVrSz5zvXv35r0/FQVbW7ZsKZkNefnyJRwdHTFgwAD6PoKDgzFmzBgkJiZiyZIltA3dxcUFs2bNQnJyMs0CWVpaomnTppRraG5ujlatWuHbb7/Fs2fPsGnTJtjb24MQQnk2bDBUq1YtDB8+HNHR0cjLy8N3330HhUIBX19fDBo0iHY4KhQKtG7dGgsWLKDZu/Xr18PCwgIxMTGYO3cu7SKzsrLCwIEDOXIHcXFx2L59O4qKirB3714aOFavXl2PN6O7Jrx+/RpjxowB23UldXg8dOiQaPDx/fff03nKmozraokJYdeuXVAoFHSe5efn886P0tJS1K5dG61atRLl9gHAmjVrIJfLRX1LAe3za2Zmhq+//lr0+VWpVGjQoAGaNWsmeRifO3cubG1tOd8nwzB6Ar5s1potr3348IG3W7KwsBAmJibYu3cvtm/fzmncqIiWLVuiWrVqorzKjIwM2NvbiyqqR0ZGYuvWrZRny3fA2bBhA+WT3b9/nxLkdVFRc/Dt27ewtraWXCs/f/4MHx8fNG3a9G/RnvuvD6rGjRsHe3t7VK1alfJ1FAqF3gnTyMgICoUClpaWMDMz05MeqDjW3NwcZmZmetfR/WHJdLqtq0I/bFuy1DhdnSnd19EljTs5OemdYKtXr4527dqhW7duIITAwsICM2fOxP79++kC3L9/f+zYsQPp6enIzc1F3759qcji27dvYWtrK5lhuHHjBtq1a4erV69i8ODBkMlk6NixI6ZPn44mTZpwNpI6deoA+LNTkK9bTKPRYN26dZxN8t69e7yL2qtXr3hT6P7+/noTNjo6mvcEFBkZifbt29MNJTExUVSh3N3dHStXrkRxcTEuXrwouoCr1WqYmppi7NixBomWskrEQq3Turhz5w6eP3+OWrVqiZI3s7OzaVdNSUkJmjRpgr179+qNYxgGJ06c0CPWhoaG6pXaUlNTBdP0mZmZdJEtLy/H5s2bDdKXiY6ONsie59mzZ3pedPHx8XoZAtb2Rsof7NatW3rZzoob3sOHD7Fs2TJOSeTWrVvw9/fH58+foVQqER8fj127dmHatGlo0aIFbTbIz8/H0qVLcejQIQDaeXXy5El8//336NmzJydAeP78OfWdZBgGL168wL59+zBlyhS98m1KSgon08Mq7Pfo0UPP263i3Hn27BkWLFhgUPB+7949TJs2zaDS3i+//CK4YQ8cOBDz5s0DoA1C4uLiDCqz5+Xl0e5CloC+evVq3rFRUVG8IrusiTOLFy9eiOpWsYFReXk5fvzxR97nl2EYzpw+efIBlX6HAAAgAElEQVQkb5nu8OHDnMNHeno6Z+4wDIOlS5fqzcni4mLaNKNSqdCpUydeXpxKpcKVK1eQmpoKe3t70c7Io0ePghDC2/zBgtVAFGsE2rhxI+zt7ZGamoorV67wfj9Lly5F37596XNz/PhxPQX9ZcuWISoqivNv586d42Sgbty4wRvQv3jxwiBKxV+B//qgSghTp06Fq6srJk+ejGPHjvG6ums0Gly6dAnGxsb4xz/+gTVr1uDevXt6C4parUZBQQE8PT1Rs2ZNTJkyBUePHuWcshmGgVKpREFBASU5du7cGcHBwVTSgJU7yMnJQXp6OhW4tLa2Rp8+fRAaGor4+HiUlJTg3bt3SEpKQlxcHH799VdOeaFOnToYO3YsQkNDceXKFfz2229Yv349vvnmG9SvX18vQOzRoweWLFmCXr16UVV4Hx8fyOVyWFlZITw8HCqVCiEhISCEYN68eYKL6ty5czkBHiFaW6AWLVpgwoQJWL9+PU6fPo2XL1/SU0V6ejru3r3L0csSw6ZNmzBmzBiDBUNHjRoFd3d3g7ro2BOh1GmUhZubGxQKhUFl2pSUFBCilYAw5L2zfl/Vq1c36L2EhoaCECJI8NQFwzAYP348CCEGtcAzDIPly5eDECJpPcIiOjoaHTt2NJjgffnyZdEAVhcJCQm8z+DNmzdhY2OjRzJmDxlSXaL/ChiGMfik/M+4CPxfAttlaIhRuhCWLVsGQoioaGxF5OfnY9iwYZICuYA2U7ds2TLBAwOLT58+YdiwYXqZF11oNBosXbpUkvfIfqaHDx8Kjlm4cCEIIbwZZhaBgYEghAjqRgFamzBCCGbMmCE4Zu7cuSBEWDJC9z3Pnj1bcMxPP/0EQohgAAxoA1EpvtXLly/h5uZmUFbz34XKoIoHDMPg6dOnBi32KSkpBnWK5eTkICUlxaBr3rhxwyCfqzt37uDevXuSJ/uMjAysWLEC586dEy2XKJVK9OrVC927d0dgYCAiIiJw5coVTrmrpKQEsbGx6NGjBycwat26NR49eoQDBw7A2NgYo0ePhlKp5GywBQUFaN++PTw9PREQEIBOnTrBw8MDdnZ2ogFNaWkp6tevj+DgYIO617KysiCXy+Ht7S26+LBgJ3SNGjUkie9s5wwh4kKXLKpXrw5CCFq1aiW5obLyEYRI+/kBXP0fKXLqx48fYWNjA0II+vXrJ3ntHTt20GtLcbYYhqFaVYbwxkpLSzF9+nQQQkQ7qFi8efMGI0eORKNGjSSDjefPn2PQoEG8thl//PEHFVnU/Uzp6en0s/r7+2PFihX/VCm7En8dFi1aBEIIqlSpYnAgrYsTJ07QeypFDWBx9+5deHl5wdzcnPcQrYvExEQ0btwYXl5eovP6ypUrqFGjBmrUqCE4rrCwEAMHDgQh4nYvK1asoGVjoTVf1z1AyAD66dOnlAco1ClYWlpKdfuEBEkBUIV3a2trwT2LDc6MjY0FucKHDh2iVRUhKYisrCw6Zt++fYLvqXnz5lAoFAZ7UP7VqAyqKvHFKCoqwpgxY9C7d2/0798fgwYNwrBhwzBhwgQ8fvwY58+fh6WlJbp27YqpU6dyJneTJk30yk/l5eWSqf2dO3eCEIKaNWvi559/ltxc2aDPzMwMO3fuFJ1ct2/f5pRBxcpKnz594pRkhQToWOgKWEopQq9cuZIuGnXq1BH9jEVFRZwONLEUPfBneYsQrRqxGG7fvs3JJorp9qjVao52kVQn4JMnT6hKulwuFzWjViqVWL9+PQ2ExEow2dnZmDlzJoyNjWFtba0XFMXExNAyu5mZGYcPxHZrsaXxLl26oEqVKli4cOEXKYBXQou/YiNjs6qEaLmlX2JR8+TJEyrjQgh/A4wuGIZBWFgYfebF7LOUSiWWL19OgxKh8ll5eTmWLFlCKRtC4rXp6enUMoYQYZkDdm1gD7B8SElJ4awJfCbmADgCvEL6X4cPH6bUFYVCwcv9UiqVdE7JZDLBLsZx48bR1+vZsyfvGFafjxACW1tbwUO2u7s7fT0hqQTWmYLNyv/dor2VQVUl/hJ8+PABx48fp96H9+7do2a1NWvWRFFREZRKJRQKBebMmYNRo0Zhx44dBmcEy8vLqZ4OIQRNmzbV48ro4pdffqFj69WrJ9qOXFZWRrloHTt2FE3TMwwDS0tLWFlZYejQoZK6K76+vqhduzZGjRqlx12piK1bt2L27NlwcHCQzIBmZmbi0aNHdGEXO40zDINHjx6he/fuaNeuHYYMGSL6Pp48eYLZs2fDwsICFhYWogFvamoq5s2bR79rMU2YrKws6t9FCOEV3NS9br169ehYb29v3pM+wzDYvHkzx1y8YglBpVIhMjKS8vUqqkjHxcVh5cqVcHFxwYULF3Djxg26aZqbm2P27Nn/K7pn/1NQWFiIcePGYfr06Th69KgkT40Pe/fupeT7EydOiAbfFfHs2TMEBQXB2NgYVlZWkl1fx44do/50hBDBTEl5eTkmTpxIAyVzc3PejCbDMAgODqZdy4TwC/RqNBqEhobSbLaTkxPvM/7582fs3r2brlFC2aUXL15g1apVMDIygr29Pe/hUKlUIiUlBbVr10bPnj0FpRDi4+OxefNmmJmZ4bfffuM9WKWnp+Po0aOoUqUKwsLCBIWFp0yZgl69eqF27dp49uwZL680KSmJNmkEBwfz2uIAfxo4W1tbIzIykjfYe/XqFf3ea9WqZVAp969EZVBVib8M7OnS0dER9evX55D5J0+ejISEBBBCkJSUhLVr19LfVatWDUOHDhX0jmKhGyhJcZqKiopgaWkJZ2dntGjRQrTtHgCGDh2KGTNmwMbGRrJ1OyoqCsuWLYO9vb1k905WVhaWL18OFxcXg4JHtmxhyMk8JycHhEjr1wDaBdzW1habNm2S7HZiGAb169dHQEAALly4IPm+WU7asGHDJMnjwcHBkMvlsLa2FtWOArRdV+z9rmjcrYusrCwaMDk4OPAGgexJePHixQgKCtL7fUhICGrWrEn/XzdQHDlyZGU58Avx4cMHziGoYcOGmDVrlsGZv6SkJLx9+xZOTk6S5uJ8aNWqFYYMGYLY2FjJOVpUVAQfHx84OjrC2dlZlE5x+/ZtmJqaQi6Xi2ozpaWlwdbWFlWqVEHnzp0Fx92/fx9yuRytW7fGpEmTBMeFh4fDxMQEmzdvFp0LXbp0Qa9evXD37l3BQ9mHDx9AiNY/UOy7Wb9+PWrUqCH4exYeHh60YYIPpaWlOHPmDAghgvc/Ozsb9+/fp+9fCGFhYQgJCYFMJqPNHHzw8/NDnTp14Ojo+EUB+V+ByqCqEn8pwsLC6ELKZqkI0RLenZycQAjBd999h5SUFI5nnLW1tSR3QqPRoGHDhrTcJOSTxSIyMhLJyckwNzennURCKC4uRn5+PhwcHBAYGCj5Od+8eQO5XC66wLFg7WTE9KFYJCYmghAimdUC/mw1lypvAH/a1Ih587G4desWCDGshf3mzZsghODIkSPIy8sTDcAuX74MIyMjrF+/Htu3bxcN7tjyw+LFi9G0aVPBja64uBgdOnSAg4MD+vXrx9t9qlar0bBhQ6raz7fZrFmzhqMeXVBQABcXF/j4+EChUHB0u/iu/3/dF/DevXuIiYnBuXPncP78ecTGxuLChQuiHpyvXr3idPNOnz79i0uD8+bNg5ub2xe1wiclJRl82ACA8ePHo2rVqnj58qWoxEBmZiacnZ3h7++PTZs2Cc7n0tJSNGvWDPXr10dSUpJexxqLsrIyNGjQAO3atUNZWRkSEhJ4xxUWFsLJyYkSvYXmDZuhkbLOYnlXUo4J8+bNQ9OmTUXHAFoO09y5c0XHsLQJqfcWFRUFIyMj2lVeESxva+zYsfDw8BD8LmJiYpCbm4uaNWuiV69efyu3qjKo4oEhHB8W79//P/a+OyyKc337YelNpClKMygiTUDFGkEEMYqKvRB7RY0dUVQUlVhjjRq7RuzGxJIolth7ix07IiJYAOnLsjv398dm5uyyUzbnJDm/88X7uua6KM++szs77zvP+5T7ztbrC8vJydGbvO7KlSt6dX9dunQJaWlpkvIgjx8/xvHjx5GZmSn6XktKSrB69WocOXIET548ER33xx9/xJ49e3Dz5k2dh9SKFSvQhwjpRFAR4ZVMhuEaNQ5eXl7cLontMHNyckLVqlUlW+pZTh2200wfCYKNGzeCSFzAl8W3334LY2NjwfCzJnr06CFaxMmCZRNOTk6WtGUXnyNHjkjastIPUvp8gJq/p3ItkRCGDBkCX19fvbTggoOD0bJlS0lbNpqk2TYthNTUVBgbG+Orr74CwzC8be+AumkiIiICtra2uH37Nh49esS78163bh0MDQ3x4MEDwXMmJSXBy8tL62979uxBbm4uRo4cCQMDA6xevRrLly+Hp6cnatasCVtbW5iamuqQpVaGSqXiWuN//fVX0c8OqCOFL1680Gtdef/+vWQULS8vD5cuXdLS5gTUD+sHDx7g5MmT2LZtGxYuXIjx48ejb9++OhGFd+/ecakXzWPVqlWi575z5w5sbGzg6uoKIkJERIRexMYsWM64P6K9OGrUKNSuXVuvDsotW7aASLiom0VJSQkaNmyIunXrIj8/X3RtHDZsmFaBvdD3OGPGDJibm0s2x8yZMwdWVlaSeqCJiYmoVq2a5PNgwoQJ8PPzE7UB1M5mZGSkpN0XX3yhlzajn5+fpPMll8thb28vKTGUkZEBU1NTyUYXVvB5zZo1ku/vz8Inp4oHKpUKoaGh8Pb2Rv/+/fHtt9/iypUrvAv2d999BxsbG7Ru3RqTJ0/Gnj178OzZM52J9ObNG1StWhUuLi7o2LEjZs6ciR9//BHp6elatixTLBHBw8MDnTt3RmJiIvbu3atFHMkwDLZt28YVEvr5+aFXr16YM2eOVsqGYRg8f/4ctra2IFLzTTVq1Aj9+vXDkiVLuDSTUqnEs2fPOHZztpDYw8MD3bt35x7cDMPg3bt3WLVqldbi6uDggGbNmmHv3r1gtm+HwthYfdv8fhQToc/vtg0bNuRqkSoqKtC3b18UFBQgLi4ORkZG8Pf3lxRBZRgGCQkJnEK6lG1MTAzs7e0lyTfLy8tRp04d9OzZU9QO+Jf2nlD0p7CwkPse+vfvj+bNm0uOee7cOVhbW0tG4QB1LZA+DwQAGDRoEFdLJHYNCgsLYWlpqZdMz/fffw8DAwPBHTYLpVKJ8PBwuLu7SzoAly9fhoWFBfr06SP6UJTL5fjiiy9gY2ODGzduCNoVFBSgWrVqkiLZ06dPh6+vL+//NOki5s6di/Pnz2sVF8tkMoSEhCApKQnnz5+HXC5HSkoKevTogfr163M0JERqqSXNdUSpVOLhw4fYvn07Jk2ahLCwMFStWlWHR4thGGRmZuLQoUNISkpCdHQ0XF1d4eLiorUBZBgG+/fvR2xsLEJDQ7m6JCK1HIrmhiU/Px/Tp0/nGgHYIyAgANu3b8fDhw91IkQ//PADF3EmUnd0RUREYOXKlYIdqOfOncOmTZtw7tw5+Pv7w9jYGPHx8XpTnjRr1kwvjU1A7ShaW1tj4cKFkpHvBw8ewMLCQlJ0l2EY9OrVCzY2NpJjbt68GUQkmdpm035SzSvv3r2DtbU1kpKSRO2USiVcXFy4iLxcLhd0roKDgxEbGyvZGR0VFYWwsDBRGwAICwsTTdmx93hsbCwaN27Ma1NWVsbN9wkTJsDNzU0yOhkfHw9bW1vJiFtCQgLMzc3/kDP/n+Af71SlpqZi0aJFiIuLQ79+/dC2bVsEBgZyTgh7GBgYoH79+oiNjcXgwYPRvn17NGjQQCu8zR61atVCz549MWjQILRt2xb+/v5ce6rm4eHhgU6dOnF23t7eOgscEcHT0xPdu3fHiBEjEBUVBR8fH1hYWOjYubm5oVu3bvjqq6/QuXNn+Pv7845nZ2eHvn37YuzYsejatSt8fX15SUMdHBwwefJkzJw5EwMHDkTTpk11rgv7UOnduzfi4+PRu3dvvDYy0nKo2CP990W4cjus5uKalpaGyMhIEBF69uwpSi3BMAwmTZoEmUwmyWdTWFiIOnXqoGXLlloP65KSEh1nmdWV4qMS0IwgMQwDPz8/wV3ajRs3sG7dOgD/CmuLRStVKhV8fX3h6+vLy1ReGSwFgz62Xl5emDJlCpRKpaiuH8tIrVlcfPv2bR3uqaKiItSoUUMvPcWkpCQYGxtLpikfP34MOzs7fPHFF6IRNYZh0KlTJ1hbW0vSPUyZMgVVq1aVLJaeMmUKAgMDdf6uGUX49ttvYWBggLi4OFRUVGDZsmWwtrZGy5Yt0a9fP67g2NLSEm3btsXAgQPRpEkTnfliYGAANzc3hIeHo1u3bmjQoIHO/LOwsICnpydCQkLQq1cvjBw5Eu3atdPqJmXnXo0aNdCwYUN07NgRI0aMwMyZMzF8+HAEBATonJvdKLVp0waxsbFYtGgRbt68ibFjx3Lvwc3NjSvUt7CwQPPmzTF69Gju3n///j169+6Npk2b4vvvv0e3bt24brv69etjxowZOulQds5VVFRgxYoVqFKlCpydnfVK0W3cuFHnnhQCe/++ePGCV6SdRWlpKXx9fQXrLTU3uvPmzYNMJpPko2IZ1SdNmiRqV15ezqX9Km8cKq93EyZMgKOjo5bjzHfNjh49CiLiHIfJkyfzpqSLi4thaGiIlJQUhIWFiTq2wcHBsLGxEZ2LpaWlsLW1FXSWAHWUOjo6Gjt27ICRkRFvvWhGRgaWLVsG4F+lCpUbhgoKCrT4/vLz82Fvb69zvStf0/LycjRo0AANGjSQjOL9GfjHO1V9+vSBi4sLGjRogHbt2mHAgAGIj49H165dQaTmLpo9ezY2bNgAR0dH+Pv7IyIiAn379kVcXBzmzp3LRYBiY2Nx69YtVK9eHfXq1UPr1q3Rr18/TJ06FStXrkRgYCCMjY0RExODixcvIjY2Fh4eHmjVqhX69++PGTNmYP369Zg4cSIMDAzQqVMn/Prrrzh16hRq1KiBZs2aISYmBtOmTcP69etx6NAhTpZi3759qKioQN26dREYGIhu3bohPj4ea9euxYkTJxAREYHatWtj9erVKCkpwbRp0+Dt7Y3OnTtjypQp2LJlCy5duoT169fDxcUFK1asQHFxMW7dugVnZ2e0bt0ao0aNwooVK5CamopHjx7Bzs4Ow4cP5x48ISEhan03HocKv6cCo6OjdZyqEydOaKXxGIbBgQMHMHjwYK3F7eDBgzoTkmEYzJkzR6s75c2bN7zsubdu3dKJalVUVKBz585aixnbUca3A4qKitJy4H799VfBSNWdO3dgaWmJZ8+eIT8/Hzt27BAtQGf5kqZPn84r7lsZr1+/hre3N8LDwyVtjxw5ggcPHmD16tWws7MTfQ+7du3ifs/IyOBVjVcqlVi3bh1vEeipU6e0UnZ8150PJSUlmDp1ql5F+uvXr8f58+cl7e7cuSNZxwGo+ccqP6xOnDihEzHatWuXVkNFVlYWJxLNyoesWbMG3bt3R7t27cAwDM6dO4cOHTrAzs4O169fx969ezFv3jwuelijRg1cunQJixYtgoeHB4gI48ePR1JSEkaMGIFOnTqhUaNGcHZ2xowZM3D48GG0a9cOBgYGaNmyJb755htMnDgRvXv3RkhICDw9PeHn5weGYXDixAm0bdsW5ubmOHPmDLZv347Zs2ejf//++Pzzz1GjRg3OMX358iUGDRqEtWvXoqysDNevX8e6deswYsQIBAcH63AoaergyeVypKamYtSoUZJ6cYD6QTtgwADBjjFNFBYWYtOmTXpx9718+RI7d+7ErFmz4OLiImjHMAxWrVqlE11TqVRYsmSJ1oP55s2bgmUGd+/e5T5rYWEhZs+ezVu+cPDgQW5MhmGwadMmnbT92bNndbjvfvvtN63O3nPnzvGKHOfk5HBdbqdOnYJMJuP9DsrKyrBv3z7s3r0bRCRa5sBSE4htXM6dOwci4hwiPty9exdsYfy+fft4Mz7v37+HiYkJV6e2ZcsWnbWFYRh4e3trMdMfOHBAp7YtKSlJp3zn0aNH2LRp099SW/WPd6qEsHr1avz888+SIchr165h3bp1kjVYSqUSS5cu1asT4ZdfftGrpufFixd6FRMzDINjx47pVeyZlpamV93Nhw8fhNvM3d0FI1UDBw7UMS8sLISRkRGn/SeE/fv3IzAwUC8JF29vbyxYsECvSRQaGoqQkBC96ui++uormJmZCfLJaCItLQ1EhObNm+t17Vl9wEaNGun1vtlCdSsrK73Gz87ORpUqVWBhYSFpC6hrcXx8fFC7dm297BmGwerVq1GvXj29F6/CwkK9iv1ZsMoCfxaUSqVO/dDBgwexY8cOmJubiz4s/iju3bsnWVepUqlw9OhRvQgrnz17hqVLl+p1PdhuOn3w3yi6v3Dhgl5NFPogMzMT5ubmsLS0/EOvKykpQbdu3dCvXz9JW5bbSkqdoKKiAuPHj0dMTIyo3c8//wwzMzNR1YgHDx7A1tZWSzS5MvLy8uDi4gJTU1NBG5VKhaCgIBAJc1kB6q5eInGCXlZFQ+w6sJ23zZs3F7xXS0pKQESoV6+eqPPMdvWJ1ZclJiYiKCgIb968EbT5K/G3OFVEtJiIHhHRXSL6iYiq6vO6T91//5uo2LoVckNDLYeq3NgYfX5PffB1zTRu3BhEakZhoYlXXFwMMzMzODo6SkrWsC3xAwYMkKQQYNmbmzZtqqNlVxksUaS9vb1kgTjr9BCRpGo98C9mdyKSrCkD1IsHay/G2cWiT58+XMpICnK5HKGhoSAitG3bVtK+vLwcI0aMABFJFqMC6ofSvn37ULNmTa3ImBBUKhV++OEHxMXF6VVA/+OPP+Ls2bOi5z969CiaNWum42xoMttLpXw+4c9BSUkJqlevjtGjR+ulUCEGTbJJqbnPIjs7G8HBwSAiyfsxPz+fY0AXk3B6//49WrduDSISpYvZuXMnjIyMYGpqKkhxkJWVxXVSC1FMMAzDNRPY2NgIno8VYicSlgH6+PEjR+zZrVs3wbE6derEpbyFUomaVDh8IvWAes6yNmKSN+x326hRI8FNMBs9c3d316uL+s/G3+VURRKR0e8/LySihfq87pNT9X8feXl52LRpE5diKS0tRfv27bnuP4YIcHfHNg1Zm/DwcJ0H4+TJk7n/Dx06VDDy0qFDBxCpi/PFNL3YInIiQosWLUR3NgcPHuRsGzRoIBpNOHz4MGdbu3Zt0XFfvXrF2RobG0tSKowcOZKzF2IeZqFSqbT0HKW6W44fP65VWyPWYalSqdC7d2/OVqrI+927dwgJCeHspRzeZ8+ecYz3Hh4eou+FYRj8+OOPqF+/PgwNDUU1FMvLy7F582Z4eXmhfv36guNeu3YNYWFhIFLzVmni+vXrWkSinp6eOl1zn/DXYM6cOSBSdwLv2rXr34pIXr9+Xes+10eH8u7du1rUL2LNFDdu3MBnn30GtuZUqEbn9u3bqFWrFojUDP5CDseaNWs45vKQkBBem4KCAq3GCCHm8u+//56zcXJy4rUpLy/XIjoVWjdYBQt2LL7vgmEYODg4cHZCJJuaNDve3t6C81KzoUNI/HjevHmcTUREBG9WRaFQcDV+tra2epUJ/JnQ16mS0X8AAMcBKH//9QoRufwn433CfxclJSW0a9cuio6OpurVq9O6deuoffv2RER0+fJlYhiGdhHRZ0R057ffiF6+pCseHhQZGUlOTk6UnJxMpaWlWmOGhoZyP3/48IFu3rzJe+7OnTsTEVFFRQVt2bKFrl27xmvXokULqlq1KhERPX/+nDZs2MA6+Dpo2rQp97O1tTVdvnxZ8LPXrl2b+7lNmzb06tUrQVtjY2OqUaMGmZqa0vjx4wXtNM/dpUsX8vPzo7i4OCovLxe0ff/+PW3bto2srKxo4sSJZGZmJjq2vb09TZw4kWxtbalevXokl8sFbXNycujzzz/nfq9Tp46gLcMwtGrVKnrw4AERETk4OFDz5s0F7VevXk1+fn6UmppKRESTJ08mIyMjHTsAdPDgQWrQoAF17dqV7t69SyNHjiRfX18d2+LiYlq2bBl5eHjQ4MGD6fHjx/Tdd9/pjPv8+XPq1asXNW7cmE6fPk12dnYUHx+vdc7Hjx+Tu7s797enT59S69atKTY2lioqKgQ/1yf85xg9ejRZWlpSTk4O9enTh6Kioujjx49/aAxTU1NavHgxGRoaUlRUFOXl5Ynay+Vy2rp1K+Xm5hIRUbNmzcjOzo7X9tmzZzRq1ChKT08nIqKePXuSsbGxjl1+fj4tXLiQMjIyiIiobdu2ZGVlpWOXnZ1Njx494talkJAQ3vOmp6dT69atud89PT157WrVqkXt27cnJycnsra25rXJz8+n7du3k0wmox49elBBQYHgWFOnTiUnJyeaOnUqvX//XscmJyeHEhMTydHRkWbMmEGurq68YxUVFVHXrl3J2NiYtm7dSvn5+bx2tra25ODgQN26dSNHR0deG29vb+7nxo0bc9+FJoyNjalVq1ZERFRWVkaHDh2ikpIS3vH+q9DH89LnIKLDRNRX5P/DiegGEd3QZDj+hL8eZWVluH37Nnbt2oWZM2dyxbaaReC//vqrlvyCnZ2dlgyEUqlEUFAQWrZsiYCAAC7iVFxczEVL+GqxPn78CD8/P/j6+qJt27aCu9S3b9/CysoKLi4uiI6OFt3NsiK8pqamkq3QLVu2ROfOneHm5iZaU1JWVobZs2ejTZs2aNWqleiYxcXFePLkCTp16qRXCo1hGHz33XewsrLSa5deXl4OIun2bRaRkZHo0aMHcnNzJdMi8+bNg7W1NX766SdJjqB79+7BxMQEXl5ektp/bBcmkVqWQ+haK5VKHDp0iEtB2NraCkYQHz9+rCXwLcR0XVJSguHDh3N2fLptGRkZMDExwdSpU+Hs7Awi+p2zhooAACAASURBVFvbsf/pGD9+PPf96MPVxofRo0ejYcOGUKlUejU9HDlyBESExo0bizKDA+ouUTMzM5iamorWI23YsAEGBgaoVauWaM3g7NmzYWFhgY4dO+L48eOCdh07duTen9A8UCgUsLOzw/z580Xr01jC3idPnoiuAwkJCXrxWdWrVw8zZ84U/H9ZWRknRC9Gf3LhwgVMnz4dNWvWFKRTSUtL4xo6xBjoV6xYwaVexTjk/grQn5X+I6KTRHSf54jWsJlO6poqA31O+k9M/1VUVOj1QP3w4QMuXLiAs2fP4tSpUzhx4gRSU1Px888/a9WIFBcXIzExEcOHD0ePHj0QERGBhg0bIjQ0VIsMsaioCG3bttUKnderV0+H2fbRo0ecJhufovjGjRshk8lw9+5dnVqVjx8/wsDAQDCP//LlS5w6dUo09w6oF8GTJ0+CSFxI+OLFiyguLkZAQABatGghynv07t07vHr1Cubm5pg/f76gHfCvwn8i0qt76fvvv4eRkZFkvRbwrzSdPnIerGq7PumpsrIymJmZcRQPUrZOTk4c543Y/ahQKNCgQQM0btwYeXl5Wh1hlcHSOVStWhVxcXGidWZFRUUIDw9HlSpV4OTkhJUrVwraHj9+HFZWVnBwcICDg4PgQ4ftlg0PD4erqytv/cqwYcPg5uYGuVyOI0eOoG/fvvD394eXl9cnqRo98PbtW2zatAkpKSnYvXs39u/fj8OHDyM1NVWvwuFXr14hLCwMUVFRsLOzk9wM8aFBgwaC+niVUVhYCFdXV3Tv3h25ubmiMkvsnF+3bh1WrlwpyiRvZWWFSZMm4dy5c4L3zcuXL2FmZoavv/4aubm5gilCVuNz//79YBhG8LypqakgEu/oA9TUIFWqVJEkR42NjdXRyeRD8+bN8dVXX4naKJVKWFpaSvLvsc6XUD0k26iyfv16GBkZCeo6ZmRkoKCgAAMGDECNGjX+4zq9P4I/zamSHIBoABFdJiILfV/z33Kqnj17hvHjx2PhwoVISUnByZMn8fDhQx0ZDoVCgdGjR2PYsGGYNm0ali1bhu3bt+P48eM6ApRLlixBcHAwIiIi0K1bNwwePBjjx4/Hjh07tMa8dOkSLCwsYGJiAisrK9jb26NmzZqIi4vT6oqQy+Vo2bKllhNkaWmJNWvWaI1XVlamtTsnInzxxRdanC8qlQo//fQTGjZsyNk0btxYy4ZtA7awsEBgYCDatGmjszthiRZHjRoleG29vb0xefJk0evfs2dPfPbZZ5JdSKNGjULVqlUlxW5v3rwJQ0NDrFixQtQOUBd/W1tbSzo1DMMgICBAL5LQvLw8GBkZCdZCaIKVmhDbBbNg2ab1KVJniUKF1N81sWHDBhgZGUkSpQLqOhhTU1PJglCGYRAbGwtTU1OcO3cOxcXFgk5mfn4+mjVrBnt7e9y8eRObN28WrF1JSUmBkZER+vTpgzt37gjWdbAO1ZAhQ6BUKnm5fp4+fQpDQ0Ns3LiRe89v3rxBZmYmXFxc0KJFC617sqioCHfu3MH+/fslWbH/lyCXy0UfuKWlpbh//z4OHjzIWyd4+PBhLdJRIkJwcLCkBh+LrKwsFBcXIzg4GLVq1dKrLopFUVERDA0N9Wp+AIAxY8bA1tZW8hw5OTmcRqnYJkOlUiEkJAQ+Pj6Sn7dHjx7w8PCQtBswYADq1q0r2eE7ePBgvWRlBgwYoBepZ69evdCpUydJuw4dOkh2NwLqbIBYdImFr68vRo4cKWojl8vh7Ows6cy9e/cOdnZ2ejvZfwb+FqeKiL4goodE5PhHXvffcKpycnJw5MgRrWI+IoKpqSkmTJjA7YJzcnJw6NAhREdHa9mZmJhg0qRJ3O7k1atX2LFjB4YMGaJlZ21tjcWLF6O8vBwMw+Dp06dYs2YNOnfurEXs6ebmxrVXMwyD+/fvIzk5GY0aNdIar2XLltwOhWEYXL58GbGxsahatSpkMhnMzc0hk8mQnJzMLZhKpRK7du2Cn58fiAidOnVCVFQU2rRpo7Vrys/P57pKJk6cCLlcjkuXLulM8smTJ2sRLfItzAMHDkRAQIDg9S8qKsKrV69gYWGBOXPmiH5XRUVF8PDw4PiAxDB9+nRYWFjwqq1XHtPJyUm0A4VFSkoKZDKZ4JiaRZSRkZGipJuA+nu7efOm3g7Y+fPnJaN6LKZOnapFjSAU9lepVKhbt65kqzig5tDRhwoDAObOnQsDAwPJVOXbt28RGBiIGjVqiMrKMAyDRYsWgUitJcnuYPnuOdahGjx4sKiz8OWXX8LT01OnkFapVOLevXuoUqUKPD090axZMy2noUaNGjrKCJWRn5+P3bt3S7JYA2pKAH0UBe7evYslS5aItqBnZGRg27ZtGDJkCC/zfnl5OW7evIn169dj+PDhaNiwITp16qSzMZs7dy5atmzJEZyym7jbt2/zXtN3795xXH/s4eXlhWnTpuHGjRt6RePfvn2L2rVrIygoSC+6k/v37+PQoUMgIr1oVy5dugQDAwNBR5yFSqVCZGQk3N3dJaPNS5YsgZGRkWiaCwBOnz4NImk1hFevXsHIyEhUkxBQf4+2trZYsGABAPUGVwi+vr6YPHmy5EYoMjJSsmEGANq2bStKtAqo03YTJ05E/fr1BW3YVO3cuXNFmwBYLF++HGZmZpIO8caNG2FgYKBXVuHPwN/lVD0jokwiuv37sVaf1/0dTtWJEyeQmJiIqKgorQXD2toaRMSpkZ87dw6LFy9G9+7dtbquNJ2vL7/8Eo8ePcK6devQt29fuLu7c2M0atQIrq6uMDAwwODBg5GTk4PU1FQMHz6c6yaxsLBA+/bt0bVrVxgaGiIuLg5FRUV4+vQpJk+eDE9PTxARHB0dMWTIEGzfvh1mZmZYunQpVCoVysrKMH/+fHh5eXHpuwULFuD169eIiorSShPt2rULdevWhYGBAXr27MlFO06ePKn1wL1y5Qrc3NxQrVo10dqaJ0+ewNjYmIsGPX/+nLeDY/bs2TA0NBTsABk3bhwqKiqQnJwMc3NzncWxoKBAK9py7tw5GBgY6JDz5ebmajl9crkcPj4+CAsL03kIVA4hb9q0CTKZjLfTTLOzTaFQwMXFRXAXtHfvXu4hum7dOtEuIEDd1h0dHQ1PT0/RGgUWbNeiPtGyRo0acUSW7969E+Se+emnn0BEOuSjDMNoOYnl5eUICAjQi4OLle6oTGxYGVlZWahXrx5q1aol6vwyDMPV3khpf/38888wNjbGoEGDRB2qe/fuwcCAX/n+m2++gUqlwunTp2FsbIzQ0FCtNUBzzQgODkbfvn0xd+5crFq1CosWLUJoaCgMDQ1hZmaG/fv345dfftERJr558ybmz5/PUYssWLAAt2/fxo0bN3DlyhVcuHABR44cwXfffYdhw4bBxcUFRGrJpx9++AE//fQTDh48iEOHDmHKlClo27Ytt/6wx+jRo5GYmIhFixbhu+++w/z587W6ytjD1dUVrVu3RkxMDCZMmICFCxdi8+bNSE5O5lL/moe5uTkCAwPRu3dvJCUlYdeuXZyTm5KSAhsbG+zduxfjxo3jNADd3d0xYcIEyfTe06dP4ejoiMjISMmH7Jo1a9CxY0fUrFlT0mmTy+Xw9vZGRESEli2f07tw4UIYGhryctNpvvb+/fswNTXl1a3TnCMVFRXw9/fXqR3NycnR6WabMGECnJycuDU5NzdXh2kc+Fdd2PPnz5GXlyeoslBcXAyZTIbNmzejQ4cOvDYsGjZsiGrVqonaqFQq2NvbizKqA0BERARSUlJgaGgouAkYP348FAoFnjx5AiJdRnVAzeHIXrOSkhI4OjrqZD4qO+AqlQotWrQQFWb/M/G3pf/+nePvcKq6d++O2rVro0ePHpg/fz6OHTuGd+/eITk5Gb169eJy7D/++CMcHR0RFRWFOXPmIDU1FR8+fMDDhw8RHh6upWVXrVo1hIWFYebMmTh+/Dj3IB08eLCWtzx8+HA0atQICQkJOH36NDdx9u3bp5XSOX36ND777DNMnDgR586d4ybomzdvtApolUolJ6Vz5coVrQlbeecyffp09OvXT7IA9/bt2+jcubMgaSn7nnNycpCQkACFQgG5XI6GDRvyOlWJiYkwMjISpCJo0aIF5s2bh7KyMkyZMkVHmkKlUiEgIEArPffNN9/osP5mZmaiX79+WovZlStXsGzZMp2Ha1xcnFaRqFKpxPTp03nJEjt37qzlXO7bt4938gNqp8rPzw+lpaV4+/Ytli5dKrrjZiNPixcvlpRfAdSOa0hIiF7knCkpKbh69SoYhkF0dDRmzJjBa5eWlqZTwK1SqTBx4kStugSFQoHZs2eL1qCw99+ZM2ckBVIB9T0aExMjmc4F1LtZPgeoMq5fv44xY8ZI1o9kZWVh5syZvHbdu3fnCph37dqFDRs2QKFQYMuWLahbty6+/PJLnDp1CmvWrMHYsWM5kWc+6af/9LDSECYXO2xtbdG2bVvIZDIQqSk9goODUa9ePTg7O6NKlSrc/7Zs2YLRo0dzVBI9evTA0KFD0aFDBwQHB8PV1RXGxsYYNWoUxwHWsGFDhIeH4/z589iwYQMmTZqEqKgo1K5dGw4ODlprz6tXr7h6KoZhcPXqVUyZMgV16tQRLc5mce3aNUybNk3yOxw8eDDq1KmD7du3S45ZXl6OpKQkLed9586dXB2hJk6cOIHVq1fr/D0lJUVrjXjz5g0mTZqk4/wdPHhQq0ZIoVBg4cKFWmvv+/fv0aZNG95z7969G4D62dKmTRvemtSnT59yRLUDBw4UlM4qKirC6tWrERcXB1dXV14bFuPGjQMRidbCsTVQQtxZgPo7NzExwaJFi7B69WrBjWVISAgnOr906VLelPqMGTMwa9Ys7vedO3fqpPLPnDmjo116//59LFy48JNT9Xc4VUIXuXJxoVKpFKT9r/x3ocmvrx3f6/TlbPmz7YQgl8sxefJk3pqKr776CkT8BJbt2rUDkXBHxueffw4TExNRPqKAgABR8jdA/fmqV6+O/v37S0ZSNm7cCHNzc1GySBbjxo2DlZWVJOcUoI6SEBHGjh0raQuopRmICH379tXLvrS0lOvE1LeIesOGDSAibvGSQkVFBQYOHMiriycEhUKBBQsW6FVs/7+AwYMHQyaT8fJvKZVKwfq38vJy3L17F3PnzkVwcDDMzc3x4sULFBQU4OPHj8jLy0Nubi5ev36No0ePYsKECfD29gYRYc6cOXj06BGePXuGly9fIjMzE9nZ2SgoKOCcDB8fH4SEhKCiogJyuRwlJSUoLCxEfn4+J7GUnZ2N5cuXo3HjxrzRx+LiYm4NLC4uxsaNG7massq2mhFshmEEmxL01Vf7I+uaPmC1DvVRmaiM1NRUvdJsgPp9f/3116hbt66k7ebNmyUj1Pn5+QgKCpJMoU2aNAlEJKrmwBari60h+fn5sLGxgUwmE3Uy2rdvDyLCnj17BG3Wrl3LZWmE8O7dOxARXFxcROvHWrVqBWNjY9EU+bp160AkTtDK6htKNRz9VfjHO1WfIAyhKMTdu3dRv3598H0/+/bt43bLt27d0vpfWVkZR/AmJLXAFt8HBwcLTvhevXqBSJj8jUVUVBSI1NI4Yg4sSxhoZWUlGSFauXIliAg1a9bU6YysDLY4nEi/9vDp06dz6WJ9Csq3bdvGja8P8/fTp085gW196qDkcjm6desGItK70PP27dsICgpC9+7d9bJnGAa//PKL3oXFgG54/6/GhAkTQERwdnbWS9RXCFlZWZL3DACkp6frJTQMqNPu+shKAfo7O/+LKC0thaGhITff/wiuXLnCzQsposiKigqu8UeMFJdhGE47r3nz5oJ2hYWFaNq0KYhIR1tRE5pzvbJeoeZYbFpazMmZNWsWN5ZQ91xOTg53PcWKwfv168elgIXquG7dusWdT6yLl6VACAoKErxXWeFoU1NT0bU6MDAQRKRXhPzPxien6h8KISejrKwM33//PYKDg3WEj1mxUTatUbk9/9mzZ1ps1JUdA01WbysrK95diyYzN1t0WRmai0Lv3r0FP8vMmTM5O7Ei5dLSUi4VUrVqVR1nUBNs9ImI4OfnJ9qqy/LBEKk5maQiN2wzABGJdlCy0Oz+nDt3rqhtRUUFmjRpwtlL1TcVFxdrUWxIcb2Ul5dj5syZMDIyApE0q7pmx6mjo6NkAXB5eTn27t2LNm3aSFJIMAyDW7duYebMmZJOEMMwuH37Nn755RdBm6SkJO46+Pv7/1e08T5BHJcvX9aq8eITQ+fDw4cPYW9vz71WTE2hqKiI26gRCReZs+ly1m769Om8diUlJVrrndDG4vr16zA1NeXshKI9o0eP5myEuvHy8vK01mihebp8+XLORqyxiBUAJyJB0Wm2eYBIzc4uVFMVHh7O2Qk1KT148ICzqV69uuAmJTY2Vuv6/x1Cyiz0dar+I0b1T/j7IMQcW1FRQRcvXqRZs2ZRVFQUPX/+XOv/mZmZNG3aNHJ1daUBAwZQtWrVqH///tz/5XI59ezZkyZNmkQKhYIsLS2pT58+WmNkZWVRt27dyMjIiIyMjMjGxkbr/wUFBZSQkEBEamZtPjZcmUxGzs7OFBgYSJ6ensQwjI6Nl5cX93P16tXpyZMnvJ+5UaNGWtflt99+47UzNzenevXqEZGaefzixYvqnQQPNBnVg4KC6N69e7x2REQWFhYcq/uQIUPo9evXgrZEREZGRtS8eXNq3rw5hYWF8X52FsXFxTRixAhyc3Ojnj17io5LpP5uhg0bRkTqz2hqaipqf/jwYXr37h33uybDemVkZGRQcHAwzZkzh5RKJQUEBAjaMwxD+/bto6CgIOrSpQvdvHmTFixYwF2nynjx4gUlJCSQq6sr9ezZk3x8fCgsLEzwfcyfP5/8/PyoQYMG5OHhQQ4ODjp2AOju3bs0Y8YM8vLyorZt21JgYCDvmNnZ2XT37l2SyWTcdRBihP6EP44NGzZQcnIyXbhwgRQKxb89zqtXr2jixIlERLR27VrKzMzU63U3b96kzz77jIiIHB0dyd7eXtB2y5YtdP/+fSJSz1WWtbsyzpw5Q1evXuV+F7pfL126pMV8LnQPZmVlUcuWLUkmk5GtrS2vekJ5eTmFhYWRm5sbubu7C65f2dnZtHLlSiIi6t69u+B1qlatGg0aNIg8PDyoXbt2vM+VvLw86tmzJ9WoUYNGjRqls96zePPmDUVHRxMR0YoVK+jNmze8djKZjGrWrEm+vr7k6+tLKpVKx0aTtb1Fixb06NEj3rE0VTKePXtGDx8+5LX7r0Ifz+vPPv7pkaqioiI8ePAAR48e1eEiYus1UlJSEBcXh8jISPj5+WlFWZRKJdavX4/OnTtzuxMTExOd3Ul2djbatGnDefY2Nja8xcL37t3jdkzDhg3jfc+tWrVC586dsXv3bt703S+//AIiEgwVX7t2DZs2bYKJiYlgmufWrVtITExE9erVRcV7s7KyEBERAQ8PD8k6paFDh2LMmDEwMTERDIkD6kje2LFjERoaKsmSnpWVhTt37iAwMBBDhgwRtQXU0aQ5c+agVq1akrYsqlSpIkmox2L9+vUwNTXFq1evJFu+y8vLUadOHYSGhoq2QbNYs2aN5I4VUKcVNDUOGzduLBhBvHDhAmrUqMHZent780aJKioqtMYkkRTQhQsXuO5Y+j3VyldLl5eXh06dOnG6bERqXbgtW7ZIXotP0B9yuRwRERFchCkiIgJff/017ty584fHYjne9GnyYFFQUICqVati7NixkhxKeXl5qF69OqcYIQSGYdCmTRt4e3ujZs2agpFNhmHQokULhIaGolWrVoK1nwqFAjVq1MDkyZOxcOFCwfOyWqO//PKLaM3n3r17YWBggJKSEtGo69ixY9GsWTPB/7OoX7++YLchoI7IsXVVYh3kV65c4ToExSKNU6dORe/evREYGCgYgXr06BFatWrFiXT/naBP6T9d5ObmIjs7G2/evEFWVhZev36N169fIzMzU+vGf/36NU6fPo2jR4/iwIED2L17N7Zu3YoNGzZopTPy8/PxzTffYNq0aRg5ciR69eqFyMhIdOrUSavDQaFQ4KuvvkJAQABsbW25xXzAgAFaRaIqlQrx8fFaDxEhXp+ff/5Z68HAV3SYm5urFXqtnPZjP4OnpyeaNm2KOXPm8HJ+vHz5EkTEiSvzgU0BioXZc3JyRDmNFAoFVCoVFi5cCAsLC9Gx3r9/j507d8LAwEB0oS4sLIRcLoerq6ugw8hCpVJxwsr6LP7z58+Hra2tXrUve/bsgYGBgV4pJrlcDiJhpfnKaNOmjSRXFovFixfD1NQUL168wJMnT0Rtr127BjMzM4waNQqhoaGi7z0jIwNeXl5cykVMTiMtLQ316tUDEcHIyIjrsOUDyxlGRPDx8RGUJ8nNzeVoC4iI65iqDJVKhRkzZnB2YWFh6NixI1q3bi34Hj7h30NhYaEW717t2rX1Yl+vjJKSEhDpx9vGYsGCBbC0tMSHDx8kpZtGjBgBR0dH5ObmipLzsnWlZ8+eFSXmZeuDLl68KMor9cMPP8DAwECSY++7776Dubm55NqRmJiIOnXqiNoAapJQfeS1QkJC9OL1q1mzpmTxeG5uLgwNDbFjxw5BG5aHkb3GfFCpVMjKysK6detgaGj4bzHz/7v45FTx4MiRIzA2NtZyWuzt7bF7924tzzg/P5/r1mEPd3d3nUiQUqnEl19+qWXXqlUrHdKyvLw8xMXFadktWLBAxxv/7bff0KlTJ87Gzc1Np/20oqICy5Yt4+Q7iPi1zh4+fIg6deqgZs2aOHDgAKKioni7FDt06IDq1asjKysLpaWlvDuE5ORk2NnZiS5OZ86cAZG0enyzZs0E24JZsLtMKU4nlUqFwMBAREVFidoB4OQPpKQeVCoV6tWrpxdJ5vPnz7kdpBRu374NItKbJJJIurgWUDuXhoaGerWbZ2dnw9raWrAWpPJ7qFGjBiIiIlBRUSHq4KalpcHFxQU+Pj7IzMzEtGnTBG0PHDgAa2trNGrUCJMmTRLsViwuLsbgwYNBRBg5ciSqVKkiSBp68uRJODs7w8nJCcHBwejduzfvffzmzRtERkZCJpMhOjoazs7OyMnJwb59+2BgYKBXsfk/AZW5ywD1vHj//j3u3buHEydOICUlBYsXL8bChQslZaK8vLxgbGwMAwMDfP7553opBVSGtbW1XlJMwL94jvhoFCrj4sWLICJJUt7i4mK4uLhIRsYZhkHDhg3Rvn17yXOHh4dLdgYCamZzKe4pQE0L06VLF0m7Ll26oEePHpJ20dHRgo1HmmjXrp1edmFhYZLcewzDIDg4GN26dRO1q6iogI+Pj96byT8Dn5yq38EwDO7cuYPk5GStnSwRoXv37lpFxg8fPsTs2bM5JnL26Nevn1bhclpaGqZMmcKRirLdFNOmTdNKjT148ACxsbGwsLCAlZUVPD09YWFhoRPxuXfvHsdSHBAQgHHjxqFOnTo66aobN26gQYMGMDY2xvTp05Geno4xY8boPECOHj2KKlWqIDg4mONb4XsoJiUlwcjISPThzTAMPD09uVCrUKSAXZzEUmyZmZmYP38+7O3tBUPi7AKdmJiIqlWrSnaEsbtCqQJqhUIBDw8PSYcOUNMTGBsbC/IqaT5EgoODJcdk70Eiwr59+yTPf/PmTRARfv75Z73eq6mpqeiOmMXgwYPh7OwsKUZbXFyMoKAgeHl5SRaaX79+HQ4ODmjSpAl3j/E5NCqVComJiSAiDBo0CGVlZXj9+jVvKvnu3bvw9vZG1apVubnCt3OVy+VcO3rnzp3x/v17HD58mPfzHThwAPb29vjss89w8eJFvH79mmthLysrg42NzX+tVZsPmZmZktw7WVlZ2Lp1q6gu47t373DgwAFMnjwZY8eO1flulEol0tLSsGvXLsTHx6NNmzZwd3fX2XxcvHiR62bTPEaMGIG0tDRRx+rly5fo1q0brl69ikaNGkEmk2HMmDF6aWayqFOnjt4dXytWrICpqSnevHkjeg6FQgE/Pz+0bt1asuB56tSpsLa2loy0sSS7Umn4x48faxXFC52/tLQU5ubmWLt2LRiGEW2gqV27NmbNmiUZgQ4PD0fnzp1FbQC1MycV0Xrx4gUSEhJQr149QRt2Pi5fvhzW1taSkcPt27dDJpOJPkuAf5WcnDlzRtTuz8I/3qk6c+YMxowZw7EPOzo6YtCgQejevTscHBy4rqf09HQtR6patWqIjY3Fpk2bULVqVY6grbS0FGvXruUWFmdnZyQkJODRo0do3ry5Vmv90aNHuVomDw8PLFu2DB8/fsSiRYu0Uh1PnjxBr169YGBgAD8/P+zfvx8qlQoPHjzQmrxFRUUYN24cZDIZWrRowXE9qVQqHedk2bJlkMlkiImJEQ0Xs2muyt1ilVte2XDs1atX8ebNG8Hc/7Vr1ySjK4MHD+acLyE79v18+PABlpaWvOe7ffs2t7gwDIPQ0FA0b95cZ2F69eqVFs/T1q1bIZPJeIlRNcP+ZWVlqFatmmAr9N69e7moxpIlS1ClShVRnpYPHz6gd+/ecHNz04tHinUUw8LCJEP+bLqZhUql4n3IXr9+HQYGBpIRLZVKha5du8LW1lZS9+7UqVOwsrJCRESEJF9PVFQUjI2NdTQsK4NlqG/WrJmoJMn9+/dRv359WFpaYuPGjYJjlpSUYMSIESAi9O/fX9D5HDZsGHx8fLTGERqz8hgFBQW8jlx+fj43PxUKBXbt2qWT0mUYBvn5+cjNzcWbN2+wYsUKNG/enHvQl5eX4+PHj8jOzsa9e/ewceNGTJgwAb6+vlw92KZNm3Dw4EGkpqbi9OnT2Lp1Kzp27Ig6depoOUCtW7fG9OnTsXjxYmzcuBHbt29H7969dYhHLS0tERISgj59+iAuLg7Lli3Dnj17cP789pa8XQAAIABJREFUefz0009a7OtsV6iVlRVCQkIwYcIEbN++XYdUmL0/2HpQe3t7ODo68krJ8NXdtGjRQlI3DlDXDLq4uGD06NF49uyZYKcxoE4RmpiYaFHMFBQU6Dhijx49grGxsU5KuTLRsUqlgp+fH7p27ar1N746qAkTJsDV1ZW7P4SicKzj8OrVK+zfv1+QYqW4uBgGBgZYuHChKIUDoKYlkKrvZBgGTk5OkozqX375JTZu3AiZTCbY/bd06VKkp6dztXF8n+HWrVvcelNeXg4nJyfez6GZCWEYBuHh4WjYsKHe3JD/Cf7xTlV0dDR8fX0xdepULT27gwcPak2GPXv2cI7UqVOnOLuMjAwt4dmSkhJUq1YNvXv3xrFjx7Scmcot9f3790d4eDgOHTqkZVd5kT527Bjq1auH3bt3i94URUVFCAwMxIYNGyRvnnHjxmHevHmSO6/U1FSdnevHjx91UjcPHjxAXFwcGIZBt27dBEWTWdFaMXHjZs2aIT4+HlOnThVM5Xh7e3OTbsWKFbztzZcuXcIXX3zB7eSvXLmC6dOn66QssrKy0LJlS87hqaioQGxsLC9P1/jx47UW+E2bNgm2QqekpCA0NBRKpRKZmZmYOnWq6I748uXLkMlkSEpKwsmTJwXtWKSlpXGOgBgNBKB2QjUXqfj4eF6W6Lt372LUqFGCUSTW+VQoFNxckMLhw4fRu3dvyZ1nXl4eWrRoIRpRYTFmzBhMnTpVknvp3LlzaNasmeSuvKSkBM2bN+c2R0K4fv065s6dy533yJEj3L2emZmJlJQUDB48GB4eHvDx8QGgjpStWLECHh4eyMvLw7lz57B06VL06dOHk546deoUvv76azg7O4OIMHToUMTGxqJ9+/bw8/PjHBpW6krTWWFryTQPMzMznRIGoSMmJkZLosvX1xe+vr6oWbMmxyvHRg7XrFnDOWq+vr4YPnw4oqKiEBQUhGrVqoFILdcDqB2jLVu2wN3dHS9fvsTVq1exevVqDB48GAEBATA0NMThw4dFr/eHDx8QGxvLm06bMWMGrl27pvW3bdu2SerpAWqnaNy4cUhPT0f79u0RHx8vaLtr1y4tR6m0tBTh4eE6G6THjx9j6NChWpHDM2fO6JQnlJaWIj4+XouMddKkSbwbmd27d3PNEZcvXxZ0cn777TfMnDkTRUVFcHFx4VWzANQO/KxZs9CuXTtJLrmYmBiYmJiIzlu2jnbChAmiY/n7+2Ps2LFISkoSXANnzpzJ6bjOmDGDN/3LciSyjtnGjRt552zXrl21HKvffvsNcXFxeot6/yf4xztV+nLOKBQKSWZuFn82GR/DMHqf+4+wtAvhxo0bgt0j79+/R4MGDQTrYQ4cOCA6yfbs2QMicb26WrVqwczMjFcmhkXDhg1RvXp1QfkcQN1IQCTNaM4wDMzNzdGzZ0/J67ds2TIYGRlJCt4CwP79+0FEnMSJFFJSUkBEGD58uF72gLprUZ9aD02wzO1SDzRNvHv3DlFRUaLXmw9/lB/mr1AE+CvGTE9P58TU69aty0V7jIyM0Lx5c0ybNg2pqalISUlBrVq1uPQ/6xDZ2dmhbdu2GD58OMLDw7V4iIjUHDyff/45YmJiMHXqVKxevRorVqxAQkIC2rZty4mu+/v7Y/v27di/fz+OHDmC06dP48qVK3jw4AHy8vLw/fffo2PHjrCyskJ6ejpKSkqQl5eH7OxsZGRk4MmTJygpKYFSqURqaip69+6NefPmaX1WuVyOnJwcjvOLYRicOXMG48aN05kv5eXlOvO2rKyMN6pUWloq6Wiz4JuXW7ZskeSVkwKbhhMjuNSEQqFAx44d4enpKWl7+fJlWFlZISUlRdRu1apVIBJnSs/Ly4O7uzu8vb1Fx2IbmMQknB4+fAgDAwNJlQSWB08sq7B9+3YuuisEhmFgbW2NKlWqiHb1JSQkgEicLT07OxtEanJTsfnap08f+Pv766008WfiH+9U/dNw584dwXx/cXExJk2aBFdXV17HMDs7m9ul8hVdf/z4kdvxCjFws2zotra2vI4iwzDcA0asoyQ0NBREhC+++ELQEVIqlVzaQYp2gE3rShWtso6Sra2tqO4d8K/0nKGhoV5t3iypqYmJiahDyeLdu3fctRLbaWvi7NmzXARD30Lgs2fPombNmnop1rN4+PAhxowZI1mXpYm/IzT/n6KsrAyzZ8+GmZkZ5wAZGxtjypQpOHbsGJe+Sk1N5WRTNI/ExES8ePGCeyAoFArcu3cPO3fuREJCAjp06AB3d3fJKIJcLsfZs2cxZ84cverkCgoK9NJUZN/T/wLYpg47Ozu9Gjsqo7i4mGMgl6JTANT3Z9++fbnaPDHcvHkTNjY2kk0nhw4d4iKNQuTADMOgS5cuICI0adJEcKz79+9z6x2f1BCLAQMGcBFFIcckIyODu2fFiIVZkk1LS0vB1H5ubi43lqZuX2VMnjyZK60RcoYUCgU3lhg7+7x580Ckpmz5uxUYPjlV/58gPT1dsL2UYRicOHECbdu2RWRkJO9EOn78OD777DMQkc5OFVBPMs3aC76bXpMriK+uoaysTKsug8/RyMvL00ptCNXraDIb83U1stCMEohJf7BRB776MU3cuHGDs/P09BTdCZ09e5az9fDwkJzcmh2ikyZNErUF1KLCrL0+XUTPnj3TYo+WYp1WqVRITk7mFn19BIyfP3+O/v37QyaT6aWjplAo8NNPP+ktpAyoi17/7oUSUKeFV69ejeHDhyMmJgbR0dEIDw9H06ZNda6NQqFAVlYWbt26hSNHjmDLli1YsGABb8qVDwUFBf8TTuZ/EwqFglN3cHR0FCwVEAIbGSESls1iwTAMp2lKJMySDqidG3aemZiYCDqpN27c4CKOlpaWgg7Ot99+y52XT3SZfX+a7OxCa1h6ejrXMCXmyC1YsICziYiIEPysms1a33//Pa+NpkyNjY2NYPpv/PjxnJ0Yrx9LNyTWPKWpfCFF8/JnQ1+n6hOj+l+AiooKtcfKAwCUnp5OW7ZsoU2bNvHaZWRk0DfffEONGzempk2barF9s+Pv2LGDGjRoQG3atKGzZ8/SmjVryMDAgLP5+PEjDRw4kCIjIyk9PZ0sLCxoxIgRWuOoVCpatWoVxyTt4+NDdnZ2WjYlJSUUFBREDg4OVL16dVIqlTrvNy0tjWbOnElERGPGjOFlVM/JyaHg4GAiIho/frwg46+lpSWZmJhQzZo1yczMjMrLy3nt3NzciEjNxHv37l1ell4iojp16hARkbGxMWVnZ1NeXh6vnbu7u9ZrLl68yGtHpGZUZ9mPO3ToIMnqW1paSkFBQdSoUSOqW7euKKM6kZpNPiIignx9fcnIyEjUlojo8uXLHBu9lZWVIIs5EZFCoaC+ffvSjBkziGEYsrKy4liR+ZCVlUUjR44kLy8v2rZtG/n4+NCgQYME7Z8/f04JCQnk5uZGXbp0oQ4dOpCzszOvLQC6c+cOJSUlUUBAAM2bN4+srKxEP2tpaSmdPn2atmzZIvid/1EYGRnRqFGjaN26dbRjxw46cOAAnTx5ki5fvqyjLmBsbEw1a9akoKAgateuHQ0cOJCmTJlCo0aN0utcVapU4VjcP4EfxsbG5O/vT0REhoaGtHv3br2/64qKCqpduzbVqVOH3NzcqKysTNT+/v37lJuby/3u6+vLa6dSqeiHH37gFAt8fX3J2NhYxw4AXbhwgVxcXIiIyMPDQ2tdZsGyzLu4uPCqVLDIysqivn37koGBAbm7u1NpaSmvXUZGBk2bNo2IiFdZg4WFhQVFR0eTl5cXeXh4UEVFhY5NQUEBNWnShJycnKhv376C1/7ly5cUHh5OREQzZswQPGdFRQVVr16dbGxsqGnTplRYWMhr5+joSERE9evXp8ePH/M+G9n7gkit4nDs2DHesf6r0Mfz+rOP/0uRKpYVlg8Mw+DNmzc4f/48tm7dytvinpubi1OnTmHZsmUYMGAAgoKCsHbtWi2bjIwMbN68Gf379+fC0gEBATqe/cmTJ7V03AwNDXnbRTdv3sxxVJFABIphGPzwww+cjZDm3LNnz2BiYoKQkBBBckzNrg0hpfi3b9+CiPDrr7/y/j8/P59j8xbbDe7YsQN79+4FkbDAKKDejX799dcwMjISjYSsXbuWE0AVIw9kGAYDBw5EVFQUPv/8c0E7QH09Lly4AE9PT8m6LkB9jyUlJaF27dqStixCQ0MxbNgwvVI2SqUS7u7uGDZsmF5kfS9evICVlRVkMpkkHcSRI0e0dMBSU1N57RiG0doFEwnrlBUWFmLSpElcBJVILU7LV4eTl5eHw4cPIz4+Hk2bNoWxsTEcHBzw8OFD0fctl8vx+PFjpKam4qeffvpbNcL+6fgzonHDhw9Hnz59YGxsrJcIuSaKiopgZGSEbdu26ZU+jI+Ph4ODA2JiYkRJfzMyMmBiYoL+/ftj6NChgna5ubmwsLBAfHy8KOs3Wwy+Y8cOXmJmFqdOnQIR4enTp1znNx++/fZbVK1aFQzDiKbnhwwZIhqlYudKYGCgaPlBQUEBp68q1ghy9epVnD59GkQkStb59ddfY9asWbC1tRUsPGcYBk2bNkVISAiaNWv2f1L77x/jVCkUCiQnJ6N///6IiIiAj48PbGxs4Ofnp8Nou2zZMvj5+XEhXCJCp06ddG7UH3/8UasQ1cDAgLc19unTp1oSGh4eHrwkmQUFBfD39+fslixZwvtZ9u/fDzMzM46Kge/Bm5OTg1q1aqFJkyZo3LixYJ1Q165dUbduXZSXlwtO2DVr1sDCwkK0+JQtHpfii+rVq5ck4V15eTlsbW1FeYOUSiXKysrg4OCAGTNmCNqx77ldu3Zo0aKF6HmVSiVOnjwJImmeGUDNpeXk5KRXs8GuXbsgk8n0LuB1d3fXi34BUN+H7IIl9V7Ky8vRuHFj+Pr6YuvWraKpU0DtlBKpC6ylOGtOnDjBySa5urqKdkQuXbqUu8+dnZ0FSWNfvHiBhg0bcrZVqlQRZGDft28fWrZsCWdnZ65w3MfHR9Q5/4Q/Hzdv3kTt2rXh7OyMRo0aoWPHjhg+fDiWLFmid2POmzdvUF5ejs8++0wvIl5NsDWP+qSd379/D0tLSyxYsAAlJSWizUjDhg2Dq6sr5HK54EYcUDsHVapUQUFBgeh48+bNg62treSaMH36dL0krkaPHo2mTZtK2vXq1UsvnqpWrVrp1Vzj6ekpugYD6uevtbW1aHc4oO7YlslkoszrLPO92Cbvr8Anp6oSlEolkpOTtXbSXbp00SnCKy8vx8aNG7nCQCLC6NGjdRaDwsJCzJ07F9bW1iBS88XwdWq9evUKPXv25Jyu6tWr87J6X7p0CR4eHrCzs0O9evXQs2dPXi98+fLlMDAwwPDhwxEfH8/bWVJaWoomTZqgVq1aePv2rSCLOMuCfujQIdFr17FjR0lG3/T0dBCRYCSLxaJFi+Do6Ci5wxg2bBj8/f1FbQD1guPo6CjZUsvu9sQ6cQD1TsjPzw/9+vWTPDerrK4P/QBL6KlPfUhFRQUMDQ0lu4tYtGrVSi9mZkDd4m1ubo4HDx7w8pxpglW0T0pKwoEDB7RaxTXBMAzmz58PmUyG7t27IyAgQLCLsqSkBGPHjgURwcvLC2ZmZrzSSIA6SjVu3DiuVsTMzEzQaWcYBqmpqVwRMREhPDxc0LHbu3cvBgwYgLFjxyIxMRGLFy/G+vXrcfDgQb0f/P+/go9RXRMslcilS5fw888/887lt2/fatUC0e8FyH80srBt2zbIZLI/VFcVFxcHLy8vvWynTZsGOzs7yVq+Z8+ewdDQULKeUC6Xo3r16oLUMywYhoG3t7dekeVmzZrppTEaEREhqI2piaioKElmeEBdj9qrVy9Juy5duujN5K5PU0zHjh0RFhYmaRcZGYkmTZr8bdGqT07V73j37h0WLFjAFTazi+6sWbO0QtQsOaezszMMDQ0RHBzMFUtrfmklJSVYvHgx7O3tYWVlhenTp8PIyIgjE2Uhl8sxf/58WFhYoFatWjhw4ADat2+v05lVUVGBWbNmwdDQEG3atEFWVhZSUlJ0nD2lUskV/M2fPx8Mw/AuBCqVCt27d4eNjY1oikSpVCIoKAgRERGiN6VcLoelpSVWrVqFoqIiQdsnT56AiCS5iHbu3Aki0uIA00RFRQUUCgUXLpYK379+/RpGRkaSgrisfIQ+k59lVBfqptS8Bv7+/hgxYoTkmPfv3weRuH4iC7ZD5/z584IFpyxYpnYxQVMWbJGnmDAyCzZlykYLxYgwu3TpAplMhsWLF4NhGMHuw0uXLsHT0xPW1tbYvHkz0tLSeB1HpVKJtWvXwsHBAfb29vjuu+8QHR2tRbDLQi6XY8uWLVyEt379+iBScy/xOQYMwyAtLQ2rVq3S2jgRqTu/pHTY/i48evRI1LGRy+W4cOEC5s2bJ/jdFxUV4dy5c1i2bBm+/PJLxMTE6KTlCgsLcfnyZaxfvx5jxoxBq1at4OLiorN2/Prrr2jVqhXc3Ny0CqLnzp0rmOpTKBQYPXo0iIhrZKlXrx6WL18u2UzBQqlUwsfHR1K2RBM+Pj56EYXm5ubC2tqaiwiLrYP9+/eHh4eHZDp+06ZNMDIyElzfWLCbLJZ0WMiRLygogKGhIXbu3CnKpg4ALi4umDt3rqRUWGhoqF7OUufOnSWj069fv0ZiYqIoFQXLPbVu3Tq9NAwPHjzIpTvFwBJT860LfwX+8U7VpUuX0LdvX5iYmKBKlSoYM2YMHj58iIkTJ2oJ+r5+/RpxcXGwtraGpaUlxo4di/T0dJw8eVJLpFgul2PlypVwcnKCubk5Jk+ejPfv34NhGJ1Iz9GjR+Hp6QkzMzMkJSVxNxHLB8Pi6dOnaNKkCUxNTbF8+XLBxam0tBRdu3aFiYmJaFgUAKZMmQIjIyNJksnNmzdDJpNpOS18KUI2Hfb8+XMkJCQI7ujYqI2YPld5eTmnbShU35SXl4eFCxdCqVRyrPV80NRrFFM214xMsaLGfJ/z6tWr3MJWWloKe3t7JCYm8p775MmTHOlkcnIy7O3tJRdbVmtOHykUtrvwyZMnkjvUIUOGoG7dujr3TuXfMzMzYW9vj5iYGNGHB8MwmD17NogIS5cuFT33w4cP4eXlBQcHB8FaOkA9d6ZMmQKZTIbw8HBOfoLvfZw5c4YjkBw3bhz38K2cyvnw4QOSk5Ph5OQEQ0NDxMTE4Pr167h37x6Sk5O5sRmGwfXr17F06VJ06dIFjo6OXNSLrUv09fWVTIP+O9D8DhiGwfHjx3nrMlUqFUpLS3Ht2jUkJCTA29sboaGhKC8vR2lpKQoLC5Gbm4v9+/dj4sSJCA0N1aJ+WLhwIVJSUnDw4EGcOXMGe/fuRdOmTbXIRIkIDRs2xOjRozF37lxs3LgRP/zwA0aOHMmRe7KHhYUFWrVqhf79+yMxMREbNmzA8ePHcfz4cQwcOFDLqaLfO9yaNGmCoUOHYuXKlTh9+rTWOrFx40YkJCTgxo0bGDp0KCwsLGBubo5BgwbpkHzygaU70Sclz25ehETbNcFKYRUUFIBhGEG6grS0NJ1MBF+HM8Mw8PHx0YpyCzm848ePh4eHByc9I7TRYTdC2dnZoo5iYWEhl1WREp728/ODn5+fqA0AuLq6ilI9AMDEiROxatUqUbH4Y8eO4dixY1wNmRArPMtjVVFRgRo1amDq1Kk6NpXr69q1a4dGjRr9LdGqf7xTFRkZifr162PdunVaUZ/KVPpbt25F9erV8fXXX2u10Vf+kt6/fw97e3uMHTtWcifQpUsXRP8/9r47LKqz237P0HtHUVFAEURRQAXEAkkUFUVs2BWNil2JJZZoYu9YYk2Mxq6xJbHEqLGjqIiKBURFFFRUEJQ+M8xZvz/mOyczzCmTe73fd383Wc/D8ySyOTNz5pz37HfvtdeKiZEkWB44cAD+/v6S1ZiXL1/C399f0uOI1Vvhu0ELCwt1DGN37typc9Gmp6fr2CuwSE5OxujRo5GVlQVTU1PBHdiLFy/g5OQkKrb34MEDyGQyDBkyRNANPi8vDxYWFsjOzsaaNWsEy+0jRozgxouvXbuG+Ph43ps6KiqKWwBVKhX69evHKyr4/fff6yRwq1evFhyTP3XqFFq2bAmlUoknT57g888/FzUcViqVMDExwYABAyQXPEDjBTly5EisWrWKU+8WwqJFi/RIrm/evMGaNWt0/u327dto3769ZJujqqoKMTExBkkE7N27F8HBwZJGxPn5+fD09MSGDRskCcxxcXHo0KGDZLvnzJkzsLOzw7Rp03Rev/rxGYZBrVq1YG9vjy5dumDp0qW4cuUKKisrERcXh3Xr1nFK2cuWLZNUZ05PT8fgwYN1Yi5dusSd1/Lychw7dgzDhw+Hq6srUlNTsXHjRs6gPSEhAbNnz8aQIUMQEREBDw8PyOVyjkYg9WNra6vDz5TL5XB0dNRLdIgI8+bNQ/v27XWGAcLCwuDl5aWjqD58+HDs3r0bLVq0ABGhSZMmGDlyJCIjI+Hr68vFWlpagmEYPH78GEOGDIGpqSlOnTqFzZs3Y+zYsWjTpg3XCaiu/K29BhcVFWHdunXw8/MziNvDMAwGDhwoyddkv0NTU1NJjz5A49jAKqqvX79eUH4hJSUFffr04TZdSUlJvEa+xcXFGDZsGCewfO3aNUEe5/r16zmNvaFDhwpqRl2+fBkTJ07EtWvXIJPJBDdv+fn5GDNmDOrXry9qzQMAHTt2hKurq2gMK8YpxamKiorCoEGDMHbsWME18JdffoG3tzcqKysxbtw4wbW/fv36HMXg22+/xcaNG/ViFi1apNMVunHjBoYOHfqXdPP+q/jbJ1Xv3783KHtVKpUGS9wLeRtVx1+RzDdUkE/sYZSTk8O1ifg+c0ZGBvz9/QVF3FhSu1hVhBWpEyKzZ2RkgIhEvaLYHadYu4zdzXTp0kX0+5s8eTJMTU0FScssBg8eDDc3N0nSKuuxZYhmE8tFE6pkVQd7bqSmCrVRWloKV1dX2NvbG/w3gCa59fHxERUJ5ENJSQmnqv5Xdn2G8o8Mvc4rKioMen2h9jcfcnJyeO+f6kn41q1bYW1tDV9fX1y/fl0vPi0tDS4uLggNDcX79+9RVlaGhIQEWFhY4Mcff0SPHj244ZYmTZogLCxMh+PFVnX8/PzQsWNHjBw5EgsWLMCmTZuwZs0ajBgxgrOzad68OQ4fPoxff/0Vx48fx8mTJ3HmzBkkJSVx1beJEyfCzc0Nz58/B8MwKCsrQ15eHjIzM3Hjxg3u/Dx69Ijz8NM+fx8+fEBmZibnscgwDK5cuYIvvvhCzwMxPz9f795/+PChXkLNMAyeP38u6gVZ/T0Amlbcx6g2dO/eHURkkB0Ui/v378Pc3NwgodDnz5/D1dVVsoL89u1b1KlTR5JDxLa6xCrYDMOgVatWICJRgjy7hkkR+wMCArjugxAOHjzIJdxi8PX15cyrhcBSPsTERgHAx8cHfn5+os/Z/fv3w9TUVFC78X8Sf/uk6v8CSktLcfr0acHfK5VKrFixAsHBwYJJ14kTJ2Bra4suXboIvga7QxWyXWFbgNocgOqYO3cut3MWIgezgwLm5uaCXCHWvZ2I9MxntcG2qOrXry+qPD19+nQQEVq2bCnay2dVnMWI0yyuXbvGfVah86ENNpkkIt6HNR9Y5WAiMjiZz87O5uQPpCQHWDAMg3379qFly5Z/aTMgVpn7/xnZ2dn45JNPIJfLMWvWLFRWVuKHH35ASkoKHB0d0a5dOxQXF+PKlSucvx+RRn29Q4cOWL9+PXJyclBUVITLly9jw4YNGD16NMLCwmBjYyNJJGYYBnfv3kViYqJB37tSqTSYn/S/WVbi0aNH6NSp039JQZ0Fy/8kEnZ+qI6KigqOhydlaVNaWsolJNV9/7RRVVWFzz77DEQkOvCSn5+PGjVqgIiwYsUKwbh9+/Zx15mY28Mnn3wiubF9+PAhdywx0v2kSZNApFFnF1o31Wo1N/0u5lixdetWbm0V696wPGaxRI7lotnb24vKS/xP4J+k6j8EqckZQLMzWrZsmeDFWlhYiPnz58PZ2VlwiiopKYlTveVTvGUYBsuXL+d4FXw3UFVVFaKjo7mbjE9rRKVScRY2QqRAhmHg6+vLxQgZn2oriwvZGty9e5eLqV27tmA1YvXq1Vxc3759BR8Y3377LRc3aNAgwbi3b9/qvK7YzotNwIgInp6ekhUTbYV0QwiiRUVFsLe35/5GirAJaB5K7u7uINJY7RiiE3Tv3j1EREQYxJ8CNIvo77//jqioKFEfL21kZmZKToRq43/Dg1+tVmPdunWwsLCAu7s7HBwcYGZmhvbt26OgoABTpkzR4yvFxMToGO7ygWEYZGdn/6OoLoBhw4ZBLpdj9OjRohUZIZw5c4b7PurWrWvQtaSt9i02sccwDHr37s3FinFHtRXdhbxSqx9Pu4qojfLycu6+JuJ3qwB0HSFsbW0FPzu7GSUSV5sPCgri4oTudVZGh63ACm20WA9EIhKdImcTUSLiNaEG/uSOERHq1KljsFvDx4ChSdXfXtqXYRheVVltvHz5kg4ePMgpj1eHQqGgM2fO0KRJk6hXr168KuDv3r2j9evXU8uWLalJkybk5+dHFhYWOjF5eXn05ZdfUt26denrr7+mTp06UUREhE5MQUEBDR8+nNq0aUP3798nd3d3PdVnADRnzhyaPn06ASCZTEbR0dF67+nChQucsi+RRv23OtLT06lnz55EROTm5kYfPnzQi8nJyaEePXqQqakpde/enTIzM3nPU2FhITVq1IiaN29O5ubmvMriCoWCUwSPiYmh27dv8x5LW4HYzc2Nnjx5whtXq1Yt7r9lMhndu3ePN87Z2ZlTSK5Tpw79/vvvvHFERObm5pzSeVhYGF2/fl0wlogoNzeXWrZsSbVq1aJTKTUkAAAgAElEQVQmTZpQaWmpaPzdu3dpxIgRRKRRuX/58qVofFlZGX399df09u1bIiJq1aqVqGr3hw8f6IsvvqCAgAC6cOECOTs7U3x8vGB8SUkJbdiwgfz8/KhTp05kbGxMffv2FYzPycmhFStWUFBQEHXs2JEaNmwoGAuAHjx4QCtXrqR+/frRixcvRD8ri9evXwuqS/93IZfLafz48TR+/Hh69eoVFRUVkUKhoPj4eCorK6OePXvS1atX6fr165SSkkK3bt2iefPmUWVlpehxZTIZeXh4/KOoLoDZs2eTXC6nzZs3k7e3N61atUpnfZJCZmYm9evXj+RyOfXt21dwTWCRn59PdnZ2ZGJiQnK5nCwtLQVjb926paOgLuQS8Pr1a1IqlZyKOqsSXh05OTnUqFEjIiIyNTUVdE64d+8eDRgwgIg065LQM+jJkycUFxdHpqam5OfnR3l5ebxxKpWK2rZtS35+fiSTyTSVlWooKSkhd3d3cnV1pe7du9ObN294j5WVlcW5ZIwaNYrS0tJ448rLy8nJyYlkMhm1bt1a8B63tbUlIs2anZ2dzfvd29jYUI0aNYhI476xf/9+3s/wH4UhmdfH/vlPVapUKhXu3buHnTt3IiEhgVMR1+Z7MAyDhw8fYsuWLRgyZAin+lydNFdaWoqtW7eiR48e3LhwjRo1OH4Ci7KyMgwdOpQzuyUiTJo0Se+9FRYWomfPnjq7DT5CfF5eHuLj47k4ITG10tJS1K9fH+bm5ggLCxM8J8OGDYO3tzd69Ogh6Hd34MAByGQy5OXlISMjgzeGYRjIZDLs3btXdPx+2rRpaNq0qeD7ycrKwtOnT+Hm5ob58+cLxp06dQonTpyAiYkJtm3bJhiXnJyMJUuWwM7Ojld5XhtxcXHo06cP/P39RXe5L168wK+//orGjRsbNLpdUlKC77//niP6GgI2vqKiwiDSbUpKCog0Sv1SoqG5ubkYPnw4dw2JnZesrCydKqS9vb2gKfRvv/2G1q1bc7Gmpqa8rVSFQoGff/4Z8fHx3C7c1NRUUI7jw4cPOHv2LJYuXYqePXuiTp06erwfIZSVlSEzM/Mva0+9fftWh8xN/9qNC2l1/YOPgxEjRnDne+zYsQYZkGtjz549kMvlBsezk7YnT56UnBj8+uuv4eTkhG+++YYjo/Ph6NGjICLs2rVLdFqbjbtx44YoB+yHH36AmZkZCgsLBTUHAWD27Nnw8fFBVVWVKHG7X79+iImJAcMwvPcQW0mVUlR/9+4dVCoVzMzMRGVabty4wVX3xSR3vv32W2zatAlyuVx0GKxnz57o378/3NzcDBZT/higf9p/unj48CHq1auns0gOGDBAr2RfUFDAkR3ZHz4SIcMwWLFiBRdjZmYm2Ob48ccfubjAwEDeC0GpVHJO6UTCxpn379+Hvb09IiIi4OLiInjzjB8/HnZ2dkhNTdWzzWHx6tUrmJiYYPPmzSgtLRV8SE2YMAEBAQG8v2NRUVEBIv2pn+rYvHmzqMkoi8GDB6Nt27aiMYCGmComFMd+v5MmTULdunVFH64qlYrTPjFk0mju3LlwdXU16IHNtiZYMrgUxowZY5A6MqC5Ftu0aYPQ0FAUFxdLcg0yMjLg5OSE4OBgbqRcCGVlZejVqxd3XYrpgRUVFaFhw4ZcrNB1x46va99jQgMCT58+1Zl2YzclfNfPH3/8gXHjxiE6OhoBAQFwcnKCubm5jjSKoRg7diz3eg0bNkT//v0RGBgILy+v/7N8so+FgwcPYu7cuVi9ejW2bduGw4cP48yZM6KJCIvs7GyYmJjAx8cHnp6ef7m9w/KPDMXYsWPRqFEjyfVIoVCgZs2amD59OhiGEW31duvWDeHh4QDE29nDhg0T5T9pxxky5DJgwACDxDVjYmLQv39/ybjw8HCDNPiaNm0qyqkC/pzCnTdvnmhcWVkZrK2tBduhgGaTlZOTA2NjY4PM3T8W/kmqtMAwDI4fPw4/Pz9uoRwyZIjew5BhGPz000+cPx8R8WplqNVqrF+/HlZWVtwoNF/fWalUYsqUKSDSCAtaWVnxEg1LSkrQsWNHWFlZ4cSJE4iMjOR9UOfk5KBOnToICwtDeXm5oMTC2bNndbhWQjf2zJkz4ezsLCnGFhAQIEnifPfuHYiENUhYnD59GkTCLuosdu7cCWNjY0m+0qFDhyCTySTH+lmCphDfiwXDMAgKCjKI+/RXFNWzsrJAJK04zyI0NNSgKhjw56SOIcfOycnh9GdKSkpw7NgxwdgXL16gefPmsLe3x8KFC9GpUyfBayk1NRUNGzaEg4MDvLy8BPlrDMPgwIEDqFGjBqe1JFRZYxgGhw8f1knUxo8fLypAy+pQERHc3NwEdZCOHDmCyZMnY+7cuVi1ahV++OEHHDx4EH/88Qfu3bsHIyMj+Pj44KefftLhQD179oxXkuM/Be0JOjGUlZUhPT1d9H5iGAYFBQW4ffs2b0W6rKwMz549Q0pKCk6ePImdO3di06ZNemuVUqnE1KlTdRJhmUwmueFisXPnTrx58wY+Pj7w9fX9S/yq/fv3g4gMqmKqVCq4urpi7ty5Bh1XJpNJWh69evUKRkZGvO4a1V/byclJsnoOAA0bNsT06dMl40JCQiTXaQDo0KGDQZOOhiqq9+3bV3AQShuDBg3ikk0xxMXFISgoyKC4hg0b/tscEP5Jqv6FCxcuICwsjCPJNW7cGMOHD9cji96+fZuzVRg8eDASEhIwZswYvZvz0aNHaNu2LYyMjDB9+nQkJSXxkq5zcnLQqlUrWFhYYNu2bWAYhndRefPmDVq0aAFnZ2fuAcC38BUWFqJx48bw9fUVbNOxf1uvXj1ER0eLLiwlJSWwt7eXXFDev38PmUyGn376SXRMmiUtSiUtSUlJIBK3iyktLcWrV69AJGyhw362yspK2NvbGySq2b59e0RGRkrGsarIQiVo7bK5oS3A/Px8yOVygyQbqqqqYGlpyZFhxRaNyspKeHp6ipJOtd+Dr68vGjVqJFltSUlJgZubG7y9vZGZmQmFQsGbuKrVaqxcuRImJiYIDw9HTk4OfvjhB94Kam5uLif+OmzYMNy8eRNxcXG81+nly5e5MfLY2Fi0a9cOY8eO1YtlGAaXLl1C7969YWRkxHkPBgYGCmqqvX37lkvatR/8ERERSEtLw4QJE7Bjxw5J4vlfAavvJCQGqVar8ejRI+zfvx9ffvkloqKidKgEDMPg/v37OHToEBYtWoS4uDiEhobCwcFBb8jg6dOnmDFjBvr27YuQkBBO3DMiIkLnWlIoFFi2bBk6dOgAHx8fTg7CzMxMz/g2OTlZx4NRu0UnpPR9/PhxODk5cbGurq6YNGkSUlNTDUp6cnNz4eHhgYCAAFEfSeDPijRrxm7IMABbPTZkM9KmTRt069YNgHj1iaUasJObQrGsbVZGRgaqqqoE329+fj63Dkolzy4uLgYliK1bt5Y0Ugc0bTYp+6u3b9/im2++gZeXl2CMUqmESqXCjz/+CFNTU8mpVnbaXEqrjt3Uik2Jf0z87ZOqmzdvomPHjiAihIeHc6Pvhw4d0rmA3759i1GjRkEulyM4OJi7wR4/fqwTV1VVhRUrVsDc3BxNmzbl1H0VCoXejfPbb7/ByckJPj4+oiPCWVlZaNCgATw9PTmFbj5UVFSgXbt2qFWrlh5nqzri4+Ph6OiolxBUf49r166Fubk5twvMzs7mPfZvv/0GIo05qdAkC/CnTY0Un2fs2LGSvnbz58/nzKWFRqNv3LjB8Vvi4+Ph5+cn+HBmv0fWeJjvXGdmZnKK92VlZXBwcBDkdCkUCo5DYGgL8PTp03B0dBSUrdAGq2vFJtnVhTy1sXz5cpibm0teFyUlJQgODkbdunUlLTQOHDgACwsLfPbZZ6Lj+nl5eYiMjISRkREWLlwoeA7UajU2btwIGxsbeHl5cfwRlUqlNymbnp7OJV7h4eGcBMW5c+d0vt+Kigps27aNG3Fv3rw5du7cibS0NPTs2VMnqXv27Bl27dqF+Ph4jh8mk8k4LmS9evVw8OBBMAwDtVotOb1rKAoKCvDTTz9hxIgRHPVgzpw5yMjIQHZ2Nl69eoXs7GyMGjVKT/yzVq1amDx5MlasWIE9e/bg/PnzOH78OAYOHKjDzyTSeChGR0dj8uTJ2LhxI86cOYOTJ0+id+/eelOKHh4e6NKlC6ZNm4bt27dzFjX169fXiTMxMUGzZs0wePBgLF++HL///jtevHiBPXv2cJZf2lWoRo0aIS4uDhs3bkRqairHU83NzUXr1q0xcuRI7uFLpDG6XrJkiWSFOSsrC7Vq1UJoaKjopm7ZsmUANOs7ERmUEI8YMQLNmjXDyJEjRRMl1gqKrcILcTgZhkGDBg24Tdbt27cFW54TJkyAr68vAA2XSCjRYHWssrOzRatV7FRcdHS0JMXAx8fHoHZi/fr10apVK9GYJUuWIDExUVRR/dWrV1i/fj1nvyUkE8ROn1dVVaFWrVq8bhrPnj3TkX6Jjo5GcHDwP4rq/46kKiwsDC1atMDp06dFT/i6detQs2ZNbN++XXR38+zZM9jb22PevHmiiy7DMPj000/Rv39/ydbVd999h4CAAEmF9ocPH8Lb2xtpaWm8v2c5WkqlElFRUXrVkNu3b+u5eScmJnIkxMrKSrRo0YJ3gTtz5gz69++P3bt3o1GjRoLvMScnB7Vq1cKAAQNEP0uLFi0QFBQk6tc0YMAAzJgxAytWrBAsjycnJyMwMBAKhQJXr17lNccGoHMMlUqFyMhIXrLk3bt30aFDBy4xmDdvnmACpFQqYWtri5ycHKSnp6Nr166S7cwFCxagRo0aBpkk3717F127dkV5eTkOHz4sOmgwc+ZMQc0c7Z3t7du30aBBA70KRHWo1WqEh4dj9OjRkoKdW7ZsgYeHh6RJ9evXr+Ho6Ihp06ZJ7lJjY2PRuHFjQaNeFseOHYOxsTH69euHq1evcrHl5eV69jAuLi4wNjZGSEgIpk2bhqNHj+Ldu3cYOHAg5s2bxz0M1q1bh/j4eFEysFqtxtq1a7lqcUVFBRYsWMDd669evcKePXvQrVs3WFhY6CU1Qj/9+/dH//79uYSpXr16aN68Odzc3CCXy7m4mjVrIjc3F1OmTIG1tTXMzc0xc+ZMxMbGIjAwkEsUiQhnzpzB/fv30b9/f8hkMkyePBnz589H37590aRJE+61hg4dCqVSiW3btsHDwwNt27bFjh07MGXKFHTo0IHTUjI3N0dVVRUqKyuRmJgIJycnpKWl4fDhw/jyyy8RHh7O6URp89hUKhW3QWAYBklJSRg1ahTs7e0N4gClp6ejfv36okK/NjY2uH//Pq5fv47Y2FiDkqoZM2Zg9uzZkMlkopuHs2fPokuXLlCr1Th16pQg17GwsBDR0dFITU1FRUUFmjRpItgqnj9/PhITE/HixQvY2NgIvv7JkycxaNAgLFy4UNSHLy8vDzExMbCyspK0XGrZsqWk4TQrMSNlLD9s2DD06NEDvXv3FtUedHBwQH5+Pvr16yeYVPXq1Yt7di1ZsoR3/b19+zYGDhzI3e9JSUno0qWLwULA/x387ZMq1pdPCkql0uAvxBDuAgBR0nd1iE0vvH79mntA8C0SKpUKM2bM0JlIqj7RcePGDdjb24s+KEaPHg0iYZHJyspKeHh4wMnJSfAYhYWFMDExQcOGDQVjlEolTE1NJQnjHTt2hJmZmSh/gdVlmT17tmAM8KfHoZTCMmvLMGvWLNE4QLOTIiJRjlF1dOnSBUQkaDbMh8LCQtSsWVPSf4sPv/32G7766iudfzO0nVVeXm6wqrkhytkAJM1gWRQWFhrEkaiqqjJ4MiwtLY23HVm9pbR79254eHhAJpOhX79+3Hd18eJF7t5gKwdpaWk4ceIE6tevD2tra4wePZoj1BsZGSEkJAQzZsxASkoK1q9fj/DwcMhkMqxcuRJ37tzB9evXcfHiRZw6dQpHjx7l7uHXr19j8eLF6NOnj85nffXqFW7evKnDoywqKsKSJUv02oR5eXm4fPmyznqVkZGhx3dUKpVIT0/X4XkqFAredsqbN2/0NJIKCwv1+E4qlQppaWmS7TpAs65IVU21jysGuVyO1q1b/2UNsH79+oGIDCLRFxUVoXbt2oLWM9qYNm0aiIQdKFiwQyBiG+uCggLY2tqKTk0Df2ryJSYmCsYwDANPT09JvurPP//McRjF0LZtWxgbG3N+nnxg1+rRo0eLHmvgwIGws7MTrbqz3F2pjsj/BP72SdX/ZqSnp4sKOrJK6SNGjBCMyc3NRZs2bURvtKSkJNjY2MDFxUXwIblz505uFyqEVatWcWV+ocVty5Yt3A5Z6GGnLZopRpBmlXXFJlTYY8nlclFOBDu27OLiIrqAq1Qq7r1J+fOp1WouVmyUmAXDMJx5r6FKzwDw+eefg0ijBm8oqqqq8PXXX0Mmk0l6RWqjvLyca4H9naFUKvHFF1/AwcEBRISoqCjExsaiVatWyM/PR2hoKCIiIhATE6NTafL398fUqVNx4sQJwc0Xm+wYgqqqqr/Nd/Hf/ZzsJoeI8P333xv8d6wXqSH3PKCZSGbb0mK4ePEid1wxBXTWLJmIRJMSNkET8+tTq9Wcwr+Yar+2SCifuTcLdsDKyclJtDNTs2ZNyXWN5Y/JZDLRIQ9WTqNdu3aCGyuGYTjunyGm2R8T/yRVHxFKpVJS1TovLw9LlizRa7Np486dO4iNjUVAQIBgcvLHH39w5qtC7b6TJ09yD+nly5fzxpw7d44rxbMEy+q4e/cup8VTu3Zt3piioiI4OjpyN6JQv561SCASHo/ftm0bFxMVFcUbA4DjXRAJKwizJEUigre3t2CV7cqVK1xcq1atRBcI9nPa2tqKLoYMw3DHZNuAYmAn/4g0aueG2MFoWwMZMgkDaKqzkZGRINJMvhlS8SkrK8OqVatQs2ZNXmX+6mAYBsnJyVi2bJlBla/CwkKDqgCA5j6TmkT9d4BhGAQEBMDa2lqHP8ROBTdv3hxNmzZF/fr1UbNmTdjY2KBHjx7/timk/2u4evUqJk6cKElMFkJZWRn3Hdnb2xssW8JWqYgI3377rWgsy8ckInz22WeCccXFxTrXjJAtS2lpqY7EjxCnNjc3l5uSFdvUsr5/UusFa9tFxK+XyCIkJERyk1lSUsLFWFhYCE5pstVdIo3/qVASPX78eC5ObPCI5UVaWFhw3OZ/BwxNqv6W0r4KhYLOnTtHX375JZ05c4Y3RqVS0alTp2jEiBHUoEEDXrVkhmHo9OnT1Lt3b3J3d6eLFy9SZGSkXtz169epW7duFBAQQAcPHqS1a9fqKejm5uZSnz59qH379pSRkUHR0dHUtGlTnRi1Wk2zZs2izp07U0FBAclkMj01dSKNsnBCQgKVlZURkUZhuzoA0OHDhzllYCcnJ97zcOXKFerSpQsREbm6unKq3dooKCggDw8PsrOzo7Zt29Ldu3d5j/XgwQNq0aIF2draUv369amgoIA3rrS0lKytrSkiIoJu3rzJG2NiYsKpFvv5+dH58+d547Q/l7W1teD3TfSn+nGNGjXop59+0uw6eMC+rlwup+bNm9PZs2cFj0lEdOPGDfrkk0+IiCg2NlZSgR0AXb9+nfz9/cnExIRXeb46UlNTKSgoiE6fPk1ERH369CEjIyPB+LKyMkpMTCQvLy+aPHkyeXh40KBBgwTj8/PzadWqVdSkSRNq06YNRURECKpAl5aW0t69e6lbt27UpEkTwWuLjT18+DANGjSIBgwYoKNaXR0A6O7du7Ry5Urau3evYByL169f04EDByg/P18ylkizLgAaB4K5c+dSaWkpPXv2jPt9Tk4OmZqa0vbt2yktLY2ePHlCeXl5VFxcTIcPH/5HKf2/iFatWlFFRQU1btyYwsPDaf/+/byuFEJQKpVkbGxMMpmM2rRpQxcuXJD8m3fv3pG7uztZW1uTh4cHPX/+XDBWrVbTzZs3ycPDg2QymeB1T0R09uxZaty4Mff/pqamvHFJSUncumxmZiaoHH/16lXODUNo/SUiysjIoMjISHJ0dKTKykqqqqrSiwFA7969o6ZNm1Ljxo0FVdfLy8vJxMSEHBwcKDIyktLT03njnjx5Qr6+vkSkWdeuXr3KG1dcXEw2NjZERBQUFEQPHjzgjWMdRszNzSkvL09QPb5u3bpEpFnPd+zYIemI8m+HIZnXx/75T1SqsrKysGHDBkRHR+uYblbPmq9cuYLPP/9cpzrD54l37tw5Tm2d/lUm5VO+Pn36NNzc3Li4gQMH8r6/s2fPwt/fX7JCk52dzY0pi4lebtq0CcbGxqhXr55gG0ipVMLFxQUTJkzAxIkTBY+1YsUKODs7482bN6JVGTs7O2zevFmQ4FxcXIxdu3bByMhIkPvAMAyuXr2KXr16iVazcnNzsXfvXjRs2BAJCQmCcQUFBZg4cSJ8fX0lhexGjRqF+Ph4uLm5SVZhNmzYgKioKERHR4vGAZqd9JMnT0BEgrpJ1cEwDDw8PDBjxgyDKkhqtRqzZ8/mrh8x8rhSqURCQoLOFJnQ+3r//j0GDBigEyvEZzh//jxiY2O56qdMJuMlpZaUlGDr1q3o2rUrZ8gqJKr59u1b7NmzB0OGDOFaDR06dOC9xl6+fIm9e/ciPj6e4zcJGdUqlUrcunUL33//PeLj4xEUFKTjmsDqlbGfOTQ0lLvnOnbsKFhF/gf/NRQXF+uspy4uLqIUAW0UFRXh1KlTCAkJETXjrY7CwkIQaeQKpDoRFRUVsLa2xvLly/XcNaojPj4eAQEB2Lp1KzdRzIdvvvkGderUwc2bN5GVlSUYN3PmTDRs2BCvXr0S1eyKj49Hu3btUFpaKsrVjY6OxoABAwQrq0qlEmq1Gk2bNhWdOHzz5g0qKythY2Mjek5SUlK4iWaxluO2bds4OoqYc8GECRMwevRomJqaGlyV/Bigf9p/ujh9+rSOSW10dDTvRZWfn68jNjh58mTe45WUlOiUSIW0MrKysrh2lrW1tSDf6MiRI5DL5fD19UX79u0FP0dcXBwcHBywePFiQT7Phw8f4OLigvHjxyM5OVlQdZ0lIz59+lS0dREbGyua4ACah5BcLhc0wmTBCpNK3QyJiYlwdHSU5FvMmDFD1DxVrVZDrVZj+fLlsLW1FZ0+U6lUnDSEkD6WNjZv3gxzc3PJiTZAk5wQ8RtS8yE9PR1E4rYO2rh//z7Mzc0xY8YM9OzZU/K8saRWmUwmKQS4bt067jpv27at4LVSWFioo34uJEmhVquxaNEiLk7M/uXatWs6bZKmTZvycpY+fPigY1BLRIIPhOPHj+tMyRERr2zF0aNHYW5uDiMjIxBpeIfBwcEIDQ3FgQMHhE7X3x4nTpzAkCFDMHnyZCxevBhbtmzBzz//jCtXrohel9pcJH9//7+sXD9nzhy4u7sbzNG6fPkyiEhS0BPQTJsSkWSrv6qqCq6urqIWWyxatWqFYcOGScZFRkYapIDeqVMnDBo0SDLOUPHPdu3aSZLLAc1Et1grkYWPj4+o7Q2gOX9ubm6YM2eOYExJSQlKS0thb29v0Hn+WPgnqdLC8+fPuekr+hcngi/RyM7O5qYZnJycEBERwVuxePz4MZo0aQJHR0e0b98ecXFxvK+blpaGmjVrolmzZtiwYQNWrlzJG3f+/HmYmZlh5MiRyMnJwcWLF3nj2Cz+119/RVVVleDk1cyZM2FnZye6SwI0O5ZPP/1UNAYAPDw8eAVOtVFeXi7af2fBJgtSPJurV6+CiCQlAG7cuAEi4vWY00ZeXp5BSscAEBERIchD08bLly8N+syAJuk0MTExqOoEACtXroSDg4NBvKWKigo0bdoULVu2lOQlMQzDOdUvXrwYgwYNEkxwVSoVvvzyS44DJzaZk5WVhZCQEJiZmcHNzQ2dO3fmrUYyDIMtW7bA2tqaE+o8cuQI7zELCwt1vOBq164tOGxw8eJFnUrv8OHDeR+uVVVV2LlzJycTQCTsn8kwjI5dDZHGo7B79+4YPXo0Pv/8cwwaNAh9+vTB6NGjdaoDFRUVmDFjBmxtbWFvbw9nZ2fUqFED7u7uOgr8rItD27ZtERYWhlatWiEkJATBwcF6D4yHDx9i8ODB6NGjB7p164aoqCh07NgRffv21ZnkKi0txTfffIOhQ4di4MCB6NOnD3r06IGuXbvqVDAZhsHBgwcxbdo0TJw4EaNGjcLQoUPRv39/XkHRuLg4xMTEoEuXLujUqRM6dOiAmJgY3uRn586det6Jhlz7U6ZMQWRkJGrXrg1PT8+/VBFkk6T09HSD4jdt2gRra2uDJgaHDRuGFi1aSMaxXoJS/LCioiLI5XJeJw5tMAwDJycnwWeHNho3bmzQ9HK7du0MEiyOjo42KJkbMGCApEgoAIwcOdIg660JEybAx8dHMjmeOnUq3NzcPpqunBT+SaqgWUDXrFkDKysrNGjQAOfOnUPr1q312nQMw2DXrl2wtbWFr68vUlNTMXfuXF7djePHj8POzg4BAQF4+vQprl69yrtzvnTpEuzs7NCuXTu8f/8epaWlvF/+rVu3YGNjg549e4pWizIzM2FlZSXapgM0elpmZmaCbQ8WbJIhVVl68+YNiAgnTpwQNelkdU2krCjYSpBYxaa8vByVlZUwNTUV9Zpj5SPc3d15heKqIyYmBhEREZJxu3fvhpGRkejIPvtdtWzZ0qBdH6CZlDFE+R3QEP8NUUkHgISEBFhbW0u2MNRqNRISEiCTybhyvVBi/vr1a0RERMDMzAw//PADqqqqBL/bXbt2wcbGBk2aNMHdu3eRmJjI+6B98eIFOnfuzGkmXbt2jVcBmmEY7N27F66urnBxccGePXsEW24vXrxA//79ubYgW6mrnowyDIMTJ06gadOmkMlkiIuLg5WVlWBClZKSguHDh+skBv2J8MbCAoxMhnZqTFYAACAASURBVBfGxuivlTD07t0bly9f1mtLnj17Vsf2yt7eHtOmTcPVq1d1HuaXLl3iprfYn/Hjx+PixYs6nyUzMxPh4eE6cZ9++imOHj2qc38WFRVxUinsj6urK7Zv366z/qlUKqxcuZKbqGJ/5s6di4cPH+o82J4/f46oqCiduLCwMBw+fJh3DUxLS9MRFbWzs8OYMWNE9aYqKipw7do15OXloXXr1rC0tMTBgwcF47XB6seJieVqg1WllwJrKbNo0SLJIZOJEydyCYHYes4S39++fSuaFDx79gxEGissKYshtj0pheDgYIM8/Xr37i2pI1ZUVIR58+bB09NTNE6hUGDXrl0wNjYWfY4AfybHUgl1dna2wS4VHwN/+6Tqzp07aNGiBYyNjTFr1ixu9159sS8sLETfvn25RYxt5VTfvajVasyfPx8ymQyDBg0SbfmwbYNu3bqJVg0eP34MV1dXREREiN6sFRUVCAgIQFBQkKQr94ABA+Dp6akTx/fgXL58Oezs7Lj3J8RfYMd+7927J6p/8vTpUxCJT20Amt0h+6AWwrFjx5CUlITQ0FDEx8cLxrEJ16RJk9CwYUPenc2jR4+4kj07hSKk2cVWEMrLy2Fvby+qfr5161YUFRVhwYIFcHFxMWjyy93dHbGxsZJxHz58gLGxsU5VTWga8eTJkyASNzoGNA+GoUOHwtjYGHv27BGNTUpKgpubGzw8PEQfgO/fv8fAgQO5e4e9lvisZHbt2gV7e3t4eXlxZtUsd0MbWVlZnBPCiBEjOJHN6hschUKBpUuXwsrKCvXq1cORI0fAMAyePHmidy8lJydziUh0dDTXaqx+HkpLS7FlyxbOjqVRo0aYP38+iAjj7O2hMDHRLJn/+lEYG2OQXA5TU1O4u7uDSDMN2r17d2zcuJHjyXz48AHDhw8HESEyMpKbDqtZsyZGjRqFkydPorKyEuXl5fjyyy8hl8vh4eHBJST29vbo27cvdu7cifz8fKjVamzZsgV2dnaQy+Vo1qwZV0Vr3749EhMTkZ6ezgltsp6n3t7eHDeuWbNmmD59Os6dOweFQoFnz54hOjoaRARHR0euPeru7o7PP/8c+/fv57T/9u3bx3ksNm/eHDKZDMbGxggPD8fSpUuRlpbGXQNFRUWIjo5GfHw8li5digYNGoCIEBAQgPXr14uKbioUCowaNQpEGv246veYQqHQu366d+8uSVVg4e7ubtDG5fz589waKGYDo1arUadOHcyaNQvFxcWiZr+jR49GUFAQysrKRNfVw4cPc9XwEydOCMYVFRVxGwspeHl5GcQF9fHxERUeBjRSOkuWLIFMJhN9Ni1cuBA5OTkgIkFx0l9//RWVlZVQq9WoVauWns4eoFlLtCuR3bt3N9h4/r+Lv3VSxY5Eh4SEiNrEABrl1po1a0pyXdLT02FlZYVvv/1WtCypVqvRsmVLDBs2TLJ1s2zZMgQGBkqKiqampqJOnTp6Y7cMw+i00SoqKhASEqKjZvzixQvePvasWbM4gvdPP/0k2Iv/+eef0alTJ0ycOFG0v56dnQ0XFxdJT6nPP/8cHh4eOu+xOrZs2YJ27dphwYIFgpw2QFP5ycrKwqVLl9CmTRtegcn09HSOB6RUKjmVfT6EhIRwycu0adMwbdo0wdeeNWsWJk6ciLt37yI0NJR3SKE6vL29DRIOfPDgAQIDA7lE4t27d4IVtoSEBPTp00eyVH779m3Y29uLEkUBzTUVEhKCqKgoUY9JQMO1cnZ2liQUv3jxApaWlhgzZoykWGjXrl3h6+sr2AJnsX//fpiZmeGbb74R3eCUlJTAzs4OYWFhkhpRI0eOhImJCfr374+LFy9yFTMfHx+o3d11EiousXJzQ0REBMrLy5GRkYG1a9eiS5cuXOVHmxN34sQJLvm7c+cO5s6dy9nsaG8eUlJSMHHiRDAMg4cPH2LlypX45JNPYGxsDAcHBy65ePXqFXr37o3Xr1/j5cuX2Lp1K3r37g07Oztok4IVCgUWLlyI7777DiUlJTh69CjGjh3LJW2sCwLDMDhy5AhiY2OhVCpx+fJlzJkzB6GhoZDL5TA3N+cS1oKCAsTFxeHRo0d4+/Ytdu3ahQEDBnADPtoJq1qt5oRUGYbBxYsXMXjwYJibmxuUBGzevBlWVlZ6lYvy8nIkJCToXPvbtm1D7969DeJV2draClI3tHHo0CF89tln2L59u+j9++bNG4SGhuLmzZuYOnWq6PoxceJELFq0CPPnzxddMw8dOoSuXbuiTZs22LBhg2Bcbm4up+8nlqgCmnVIyn6G9Rzs1auXaNy0adPQuXNntGvXTnANrKqqgpmZGZ48eYIOHToI0iWWLFmCGTNmANCsr1OnTuWNCwsL48Rlz58/j5YtWxosLvzfwd86qQI0fBdDqgdKpVKSe8TC0Lj379+L3tTaDwGhUuj+/ft1BOGql4gVCgXi4uL0OEJqtZp77cLCQjRp0kSUD/XixQs4ODiICo3m5OTA1NQUXbt2FYz58OEDzM3N4e/vLxgDaPr+VlZWoqVstjogZD7LwtraGp9++qnouWZ3R4YYjYaGhiIwMFCyGghoqmNyudxghXSlUgk7OzvUqVPnL4kdstY6YnwOofZBZWWljtieoQtPQUGBQTwTtVotac/DwlD189evXxt0/tVqtahgojYeP35s0P2Yk5Oj83mePHmCGjVq4Pz584BMxptUMTIZ1Gq1XtuvsrIS586dM+izPH36VK96yvd+379/z3mYaqP6OqdSqXD58mW9BJZvYvLx48d6/B++91xYWMg7RVz9tauqqpCcnCz5YAc01RUxPThtCK293t7egjZNYsjMzOQql4agvLwc7u7uoo4RLB48eABjY2OMHTtWNO7ly5ewtLSUfA9spUwsSQM0axIR4ezZs4IxVVVVcHZ2hqurq+g9zlb1xab/AA2lQi6Xi04vFhQUgIjQs2dP0WOtWLECcrlc0vaqcePGiIqK0nnW/Tvwt0+qPjakvjy1Wo0//vhD9EJlfcI2b94sGPPhwwcMHjxYVEX7/fv3+PTTTyE2RVdWVobWrVuDiATJkGq1Gu3bt9e0N8aNE3w9tgQfEBAgGLNjxw6OOyG0ABYXF3PTPWLKx2PGjOFeT+x8stUAsVYiOzYtl8slqx/suTBkkoUlUIuJ2WmDVRU2hKSvjalTp/6lxZ9FcnIy/Pz8RBWMq0OtVhtsO/P/A0pKSkSrxXl5eRg6dChvi/Phw4eoVasWLCwsNMlIvXq8SVW+lRU2bdr0j/Dnfwjdu3cHEekR66WwfPlyEBEsLS0NEuNdtmwZ14oVA8MwnBCyVBVs6NChICLJ6nVERASISJQ6UFZWxk23i/GqLly4wK1DYmsDO6BSu3Zt0WubFaoWSyAfP37MvaaYywPr3CEm5gyAe/aJTQj+T+CfpEoCKpUKp06dEuU8qVQqHDlyBOPGjRO88dRqNQ4cOAB/f3/B3jjDMPjll1/g6ekJV1dXwQsmKSmJ41sIJV45OTlo0qSJaJKjUqnQtWtXyYf46tWruRihNtvTp09hbGwMIoKzszNvDACOB0MkbB/A7riIxK1X2IWSiF8jjAWrNGxnZydYCVEoFNyx6tSpI9rS6tGjBxcrJanAkqOJyKCJwoSEBC5+wYIFkvGAhjDP/o0Yt0wbpaWlHBldyk6DRVlZGTZv3ozIyEiDfDBfvnyJLVu2SBousxsNKf8zVqVdasiBYRhcv34dy5cvF13oc3NzMX36dIwcOZL39wqFAitXroSNjQ0v/+bevXvcdGDbtm01/7h7N8rlct2kytISmd98w13PfOrOeXl5Bj20/864cOGCwb6q1aGtzWaIZRSLNm3acH8n5oIBaNrv2nI8YsTyffv2cXG9e/cWjEtNTeU2mH5+foJx7DSh1Jq5detWLk6MJzZx4kQuTsisHtC02Ng4IQ5UVVUVx9EzNzcXrFqzE9pEhMDAQMF7l5V5kdrYaivhGzJ5/bFgaFL1t5IABkCpqamUkJBAtWvXptTUVE7FVRtv376lxYsXk5eXF/Xu3ZsGDRpE5ubmOjFqtZr27dtH/v7+1KdPH1KpVDR+/Hi9Yz18+JA6depE3bt3p+zsbJo6dSpZWlrqxKhUKvr666+pXbt29OzZM7K0tORVSn/w4AGFhITQ/fv3iYioY8eOvJ9z/fr1dOvWLSLSqH83bNhQL+bdu3eUmprKKf6amZnxHuv333+n8PBwMjY2psrKSl5l+fz8fDIzMyNra2sKDAyka9eu8R4rJSWFmjRpQkREDRs2pEePHvHGvX79mmxtbcnX15du3Lihyf55wCqN+/j40JEjR3hjTE1Nuc/o6OhIu3fv5o0j0ij0EhHZ29vTzz//TOXl5YKxZWVlZGxsTO7u7nTjxg1RVV8A9OjRI/Ly8qJGjRpx358YWDVwVr3dzc1N8m/++OMP8vf3pzVr1hAASkhIkHyNOXPmUN26dWn06NE0ceJETvm4OpRKJR05coS6du1KdevWJWdnZ0H18ydPntCcOXPIw8ODli5dSo0aNeKNe/PmDa1cuZIaN25M3bt3p7CwMN649+/f04YNGygwMJDCwsIoPDycVy3+zp07NHjwYPL09KTvvvuO5s+frxdz6tQpatq0KU2dOpVKSkpozpw5Or9/9uwZxcbG0ps3b4hIy41g4ECa7uBAOTIZMUT03s6O6PvvqeHcuRQeHk4pKSnUsmVLGj9+PL1//547nqmpKbVq1YqGDBlCx48fF1TOFvr3vwPMzc3J3d2d+vfvTydOnPhLCtnsekJEtHz5ckpJSZH8m/z8fDI3NycLCwsKDQ2lpKQk0fiTJ09SaGgoERFZWVkJOkFUVVVRcnIy1atXj4yNjTlHCz78/vvv1KJFCzIzM9O5Xqrj0qVLFBoaSjY2NvT69WvBuDt37lCzZs2oZs2a9PTpU94YAPT06VPy8PCgRo0aUVpaGm9cRUUFp4Lepk0bunz5Mm/c8+fPqUaNGkRE1L59e87NoTqKioq456e3tzclJyfzxmnf02/fvqXs7GzeOPY1TU1Naffu3YLK6/8xGJJ5feyff3elqrS0FIsWLeJKlUSaKZzqrSWlUokJEybA1NSUi+MjeatUKowfP57baRCRngM88CdBlFWNdnJy4m2vlJaWYvfu3dzxxAwxv/vuOxARjIyMdPRuqqNt27YIDAxEkyZNBGNY/7wNGzZg06ZNgnGTJk1CUFAQMjIyeN3n2faXra0tNm/eLMgTKygowO+//w4iEq0YXbp0CVOmTJHkZy1fvhydOnVC9+7dReOGDRvG6eqIYd68efj6669hZGQkKU66b98+LF++HA4ODpL8I3a8OioqCkOGDDFIewrQnAf6V2tWrGUMaK7JXbt2cVNbnp6eotWcDRs26FznQno0xcXF+OKLLzivSSJht/kDBw7oVABcXFx4yatpaWno3r07VwElgWoBOzWnLWvAx41TKBQYNmwYF0NEvJNXeXl5OnGRkZG8n+OXX34BkWY6j62eqdVqpKeno2vXrujTp49OPDuBSf/aiVff2d+6dUunqjp06FCcPHlSj2AdHByMcePGYceOHcjIyOC9ri5cuICbN2/+lys7/w68ePECubm5BvHyWLCtH/pXRXz8+PGCfnjauH//Pnx9fWFpaWmQnAAA7v5zdHTE+vXrJSuuAPD111/Dy8sLDx48EB1KUavVcHJywuLFiyVH/Tt37ow+ffpIDnrExsaia9euuHv3rug5jYmJQZ8+ffDmzRteSgLLQYqIiMCoUaME+X4VFRVQKBRo3LgxZs+eLUhveP36Nd6/fw8nJydRGYvbt28jPT0dRkZGoufk0KFDXKVPjBe2bNkyruImNYj2MUH/tP908cMPP3A3rZubm2Cp8syZM5yCcqNGjQRL9wcOHOBKnzExMYKv+9VXX0Eul3M3Gh9UKhU+/fRT1K1bFxEREYJTSgUFBXB2dkZ8fDzmzZsnWIZmH8bnz58XJYLOmzcPrq6uqKqqEuUFRURESCr/GqqonpqaCiJpUc+9e/fCyMhI0mB33bp1sLKyEiUEq9Vq7Nu3D3K5HHl5eYJxrKCqpaWlpMEqoHlYkgQ3QRudO3eWnI7URv/+/REUFASGYQxqy02dOhUmJiYIDAzE6tWrRWOfPHmCWrVqgUgzQi9GOGcTefpXq0KofZ2TkwNXV1cuVmiiVq1Wo1u3blycmM3Q999/z8WFhIQIJqTHjh3j7tvw8HDe67myshKfffYZnJycIJfLedXqFQoFvL290bt3b1y5ckUvuZ42bZpess8wDAIDA+Hp6QkLCwteou327du5z2FlZcUbs379ep3E0M7OTq+V/vTpU87xoWbNmmjbti2GDx+up/B+7tw5BAcHo0OHDhg6dChmz56NTZs24cSJEzoP5qysLEybNg2LFi3Cd999h8OHD+PixYu4f/++zr1XUVGBxMRErFixAlu3bsUvv/yCS5cu4cGDB3qk9A8fPiAyMhKmpqbw8fFB586dMW7cOKxevVrw2mEYRuea6Nmzp0HJjkKhQHp6OqZOnQoXFxdJDSRtODg4SFrOsOjcubNB8gtpaWkgkrajUqvVsLe3N0hTy8/Pj5uKE0NwcLCkjiEAtG7dGuPHj/9ocaGhoaKcXBZBQUEGxfn5+WHChAmCvy8tLYVarYanp6do3MfGP0mVFrZv3w5LS0t4eXlBLpdrpnkE4kxNTdG5c2c4OTkJ3hjff/89ZDIZxo0bh5iYGMHJh5UrV4JIQ6TevHmz4O5yxowZMDU1RUpKCh49eiSY4AwbNgw1atRAYWGhaBLUsWNHhIWFSRKomzRpImlDwDCMQTe/oYrq7DSe1Hj7w4cPQSTsgciC1ccSkklgUVZWJir2qI3+/fsbpH2iVqvh4OAgqjOjjb+SVL158wYmJiaihH5tbNmyBUQa1err16+LTvpduXIFzs7OaNasGSIjI7F9+3beOIZh8O2338LExATNmzeHmZmZoCAfWzFwdHSEm5ubIEevuLgYsbGxkMlkCAoKQrNmzXgTYoZhsGzZMsjlcnzyySewtLQUrFxs3LgRcrkcgwcPRoMGDXg3EiqVCj179oSNjQ1u3rwpWNVYu3YtTExMBLXMtm3bBjMzM70q4C+//IK8vDx06dIFjo6OvKreo0aNgrGxMaysrNC0aVNerpk2r8TFxQWHDh3Su4/z8/M5L0IigoWFBe9alZaWpmPxQ0TYtm2bXtyFCxd0FOaJCN27d9f7XnJycnRel92g8n0OpVLJaXOxP3y6Q9p49+4d6taty3kAjho1SnJTxeL169ewsLAwSHmcBetVKgVW1dyQ+3zNmjWwtbWVrEazXQKp5EuhUMDY2Bi7du2SfG13d3eDxIWDg4PxxRdfSMZ16dLFINubwYMHC1Z9tTF+/HgEBgZKxs2aNcsgu6HFixfDzs7OIJuwj4F/kipopn+GDBkCIsIXX3yB4uJiXkHHqqoqTJkyBUSEqVOnoqqqCn/88QfvMdkpkDlz5oBhGEGDS5Y4yCqbC10grP+emFAc8Of0mBhxG9Bo3BCRqFAcAM7gUqzMCmhUlNmqlxjhltU1kdL7YpXXhaxJAM25Ki8vh7W1tehOkj2njRo1Eq12sBg0aBBCQkIk41jBU6EHK4vKykp0795dVGpCG506dUJcXJxBrZulS5fC1tbWoJ33H3/8AWNjY8mHFvCnvlNUVBSKi4t1hBq1UVJSgr59+0Imk2Hu3LlQKBT47rvveI+5c+dOWFpaIjQ0FM+fP8f69et5q6j379+Hj48PnJ2dcfr0aVy8eJHXzqO4uBi9e/eGXC7H8uXLoVarea97tVrN3bdz584FwzC87QCGYTBs2DCYmZlx00d8n7mwsBCOjo6YPHmy4P165swZ0WujtLQUISEhqFu3Ll68eKHzu8rKSgwfPhyPHz/mLH3Wrl2r91qrV6+GiYkJJ0rcqlUrvU1IWVkZV9lxcHCAXC5Hv3799IZS3r59i7Zt23KJjbm5OYYNG6Y38fjy5UtuWphI41M6YsQIJCcn67w/hULBje4TaaZqO3XqhAMHDuglYQzDcB6PLAWiVatWOHTokGBrOjk5GUePHsX+/fthY2MDf39/ZGRk8MZWx+TJk0UHgVhUVlZCpVLBxsbGoE1LVlaWYIu6OmJiYtC1a1dJ65QtW7bAwsJCctr23r17ICJeKQ1tsDZYhlTemjZtKqgBpQ227SiG0tJSzJ8/X1JRXaVScd0Cqao7S2znG/zQRl5eHoyNjQU3hR8bf/ukKi0tDb6+vnBwcMCvv/7K/Xv1Bez9+/fo1KkTTE1NRb8chmEwffp0EEmP7x4+fBhyuVzSOiUzMxO2traSNicVFRXw9vZGVFSUZPbes2dPBAQEcHEKhYLXMmT+/PlwdnaGSqVCdna24AV89OhREGkMo1klbD5kZ2eDiES5WYAmYbG0tBTdIRYUFGD9+vVca0MIO3bsAMMwmDJlCry9vQXjWL2r3377TfSBmJycjLy8PCiVSjg5OUlO6S1cuBCrVq0yaGcKaJKqnj17Yv369aJxbGm7eumdteXRRkZGBuzs7BAbGyvKt2AYBosXL+Y4WmLv98GDB/D19YWTk5Pog6S8vJyTlkhISBB9kOzduxeWlpYICQkRNaXNzMyEn58fnJycBKeOAE1S0bNnT0k/RYZhMHnyZBgZGUlOdE6ZMgWOjo4oLCwUVJ0fN24ciEiPB6N97vPz8+Hj4wN/f389DiJ73pVKJebMmcMlJdXb0qxMyPXr1zk1+JiYGJ0KmEqlQnx8PJKTk7F7925uKrhjx444d+6czhowcuRITJkyBevXr+e4pa1atcKePXu4702pVCIhIQE+Pj5ITEzklNj9/PyQmJios4H86aefYG1tjWXLliEyMhIymQyOjo6YMGGCXmK3Z88eTJo0CRcuXOBU2728vLBu3TreTQP7vp88eYLmzZvD0tLSoAdnXl4ezM3NJdfntLQ07N27F1ZWVqJyLCz27dsHIyMjyRH+qqoq2NvbIzExEQsXLhSNHTp0KNq1a4fVq1eLbrL2798PuVwumugDhmtBAUCdOnVEebss/P390aZNG9GYw4cPY8GCBZDL5aL3f2JiItelECpYXLt2DS9evADDMKhdu7bgJlG7MtqrVy9JIdOPhb91UqVWq9GoUSOEhYVJCgTOmTMHNWrUQHJysmjcrVu3YGpqyls+14ZKpYKfnx9GjRolmQDNnDkTQUFBvCVu7Wz+4sWLcHJy0nNT37t3r86Or7S0FN7e3hy/gmEYjBw5kteFfdSoURgzZgwYhkFkZKQg6X337t0IDg5Gu3btRB9eT548gbW1tWQP/quvvoKrq6vo+POtW7dQq1YtfPnll6I3f9++fbFr1y6cO3cODRs2FBQcbNeuHVJTU6FUKlG/fn3BFuWxY8c4BeFx48aJJnQAEB4ejkWLFqF+/fqCRsPaiI+PR3BwsCQ/7cmTJ7xtlVWrVuklTuPGjUNwcLBkm+TOnTswMTHB6tWrRa9LhmHQvHlzBAcHS947iYmJsLW1xeHDh0Xjnj17BhMTE0yYMEFyBx8eHo6goCDea1YbGzduhL29vWArn0VWVhasra312icFBQWcXQ2guW8DAwOxdu1aXL58WdCew8PDAw0aNNCrnJ06dUqHJ/Xs2TO4ublJtpdYGRWxYQuGYXDs2DH4+fnB2tpa5yHMMAxXQWYYBsePH+eGBbQ98xiGwdOnT7n/Pnv2LHr06AG5XK43+s+uBazUxfDhw2FtbQ1LS0ud187IyOC+p+fPn2PBggXw8vICkb7MiHY7OiMjA/Hx8TAzM8Nnn30men4qKyuRkJAAuVyu832xm5/qSEhIkFQBP3jwIJo1a4agoCDJaxfQKLrXr19f0gcvNzcXDRo0wObNm0U3eYCGYjBz5kzUqFFDVHLkxx9/RGhoKMzNzUUJ8tnZ2ahTpw7q1q0r/mGgcaKQMkAuKCiATCaT/MyLFy9G+/bt4evrq1eZ1YaHhwdSUlIQFBQkqJt48uRJREdHg2EYTJo0SXD9HThwIMdjPX36NLy8vHgHqD42/tZJFaDh2hhCdKysrDRY7Tk3N1f09+wDLz8/X7C8nZSUpOORxncx7Nu3T8+SoPqObuPGjbw6RCqVinsfLD9D6EHGMAxHoBXaPQB/aqWIKbMXFhbCxMREUhvps88+g6mpKW/1jAWr5itFFu/WrRtcXV0l7VRat24Nf39/zldKCMeOHeMeRoZMLnl4eMDb29vgab6ysjI4ODgYxCuofv0sXLiQ99xWVVWJqler1WrusxiS+AGaB6QhSuBKpVIy+WEh1Upl8fLlS4N4NGq1WrDipVKpdKol1Un4L168gJ+fn17SqFKpUFpaCj8/PwQFBekdl/VX43vQPH78GHZ2djpDC9qVHbEBiffv3xu0BqlUKqSkpEjGARrenCH6WM+fP9dJVoRQUlIiyVsENN/LhQsXJO9JQPO9SJnmsqjOk3v58iU6duyoxx1UKBSSm9mFCxeCiH9imw9qtRpeXl5wc3OTjGUYBmFhYbCwsJB8HyznVso54pt/aaGJTXsDGs4mEYmureXl5bC0tOS9vrXBdiikKm5xcXGQyWSSZu5WVlaCAyQs2E7Cvn37ROOGDx+O+vXr4/379zrr2/80/vZJlSEwRAW5uLhYUgG7uLgYM2fOFLUsKS8vxxdffIFu3bqJvh+2xSj2EFq7di2IxG0L2ClGFxcXwZjXr1/DwcFBkujNKo2Lkay3bdsGIo2pq9BDsaqqihv5F0uY1q1bx5FgxR6wHTp0AJG4mi+gqVQRaUxZxcAuJK6urpKWRFVVVZwkgCHin8CfE6impqaSFRttsOrPhvDGtJGcnIzx48f/JSuH/wllcENe/+3bt5L8sQ8fPmDt2rWim6V79+6hRYsWgq3qzMxM1KtXDx4eHry/Z1ukjRs31vudthBjddK8Wq2GpaUlnJ2deUnqF1EUGQAAIABJREFUly5dQvfu3UVbn/9Oy43/CwgICICfnx9XgTMULM/2008/NSj+xIkT3PcuJbWiLa8hlliWlJRwptRivK6ysjI4OTmBiET5Urm5uZDL5ZK8VnaNIyLRyhf7HPL29ha9LkNCQkBEGDNmjGAMO8RERDpUnOpgz7Ozs7MgVxn402WiV69e/9jUsD//6aTq6dOnmDx5smjp98OHD1i0aBHq1KkjuMNXq9XYsWMH3NzcRMuk169fh4+Pj+gFX1RUxO00mjZtKngsdndDJKxc/ujRI04BWKwqEhsbyx1LiDuTnJzMxXDq0jxgExyxqtfdu3e5GDHLm2nTpnFxYlOHbJtDJpOJ7uBZ2wi5XC46baO94AwcOFAwDtBUO9jYBg0aSFar2LF79m8M3aGvWbOG+xux9qs2Xr16xT04pAyU2fd24cIFDB48WPShz8YmJSVh48aNksbix48fx8SJE0WrXjk5OZg4cSJ69uwpeDyFQoG1a9fC2dlZcHpTqVRiwYIFMDExQbNmzXiPdevWLe5BxtdWfvLkCacnxde+0Z7M40tw2QeMm5sbr5dfSEgIrK2tsWbNGt7kNSkpCbNmzRKtiPPx6v5/x5UrVwySDKmOr776CkSaKUkpvzhtsN8TERlU+YuKiuLixapKDMOgRYsWBt3jS5cu5eLEuFobNmzg4sTkEhYsWMDFiXkhak9kilFZtIcWhM4tOxnODkAIybKwXCoigq+vr6gsChsnpJsHgBt+ICKDprk/FgxNqv42iuoA6PLly9SrVy9q0KAB3bt3j3r06KEXV1xcTIsXLyZPT0/66quv6PPPP6d69erpxV27do1atWpFcXFxlJeXR998841ejFKppNmzZ1OrVq0oMzOTPD09eVXQMzIyKDg4mE6ePElExPu+iIhWr15NU6dO5f6fVfnVhkKhoBkzZnCqxLVr1+Y91o0bNyg/P5/7f1advDqOHDlC/v7+ZGFhQc+fP+eNefv2LZWVlZGpqSn5+PjQhQsXeOOSk5PJw8ODiIicnJwEFX1zc3PJwsKCatSoQcnJyaRQKHjjKioqiIjIw8ODdu7cqdkl8EAu11zmrq6u9N1335FareaN0/77ly9f0s2bN3njiDRqwqwyvoeHh6CaMIvU1FRydXUlIqKaNWvSnTt3ROOJiHbv3k3Tp0/n/j8oKEg0XqlU0ooVK6hhw4a0c+dOat68OUVFRQnGKxQK2rFjBwUFBVFERAS1bNmS3N3deWM/fPhAGzZsoKZNm1JkZCS1b9+eU3uvHrdmzRry8fGh6Oho6tOnD69a/6NHj2j48OFUv3592rx5My1dulTveAzD0L59+/5fe2ceHkWV9f9Tnc7S2TcIS9JAQgJEIGGRALIHAVlElGX0RWAwLMomIoIzsomjbMKoiCsissggoOKLjsCIgCBLhFf2fQuQQIAkkKTTSXd9f3+0t+iQunVrZvIDmbmf5+GR5Vh9U11177nnnvM9VL9+fRo3bhwFBwfTiBEjKlzrwIEDlJaWRlOmTKGysjIaM2ZMhWtt27aNOnTooD3z7du3r3CdJUuWaO+6nsL5r7/+SjExMRQZGUknTpyooJidkpJCRETZ2dnUv3//cu+Xoig0ceJEKiwspOeff57S0tK0rgeMhx56SFO87tevH23btk33mZ4zZw698MILtG3bNu6zrKoqHTlyhPte/56w2WxUq1Ytevrpp2nTpk3cn+lO2LOdm5tLHTt2pFWrVgn/HwB0/vx5stlslJqayu3EwDh//rxnobRYhO/tjh07KDo6mog8KvEXL17UtXM4HJSZmUnR0dFks9koKytL187tdtP27dvJbrdTeHg4HTt2TNdOVVXatWsXxcbGUo0aNSo8V97XO3ToEEVHR1NiYiJt3bpV187pdNKlS5fIZrNRkyZN6JtvvtG1u3r1qvb7Zs2a0dq1a3Xtrl27RlarlYg8nSG+/fZbXTvvZz07O5urjh8REaH9fs2aNXT69Gldu3uGGc+rsn/d7UjVgQMH0LRpU827DQoK0s0FOXXqlBZRIvL0itMrzz1z5ox2JEacHAt2PVYdRUSYPXu2rl1OTo7WRJiIDI8Ru3fvjvDwcNSsWZNrc+PGDdhsNvTs2dMwLMtKXJcvX254Xt+/f3/07NkT27dv1z2/Li0thaqqCAgIwJIlS7hn+hcvXtSESY0Ulzdv3ozZs2cjJiaGOybAk7g9cuRIw8ge4CkIGDt2LGJiYgzP3zdu3IhPP/0UiqJUEFO8k8OHD+PUqVOmbAHPro5pb+3Zs8d0jtEf//hHVK1aFcHBwcJo2IoVK2C3202F2j/99NNy2kStW7fWjZ7k5OQgIyNDa15NRBXy/QDPMzBx4kQEBQVpdnr9u1RVxWuvvVauGwFvp/7uu+8iNDRUs9PT6nG73ViyZImm+B4ZGal7ZOxyuTBlyhRNsJd3ZNSxY0f0799fV3rl2LFjWLBgAapWrar9LN4sXLhQ692plzLgcrlQt25dEHk6IkydOrXCWHNzc7VoGv0Wtb4z8ut0OjWZhOjoaAwdOhTr16+vcK3ly5cjMjISPXv2xJw5c7Br164KR6eqqmLRokWYMmUK1q1bh7Nnz3IjYdu2bcPKlSvx66+/GkYfHQ4Hxo4di2effRaLFy/GgQMHhM+udxSQFamI8nRcLhciIyNBRGjXrp2hgC3D6XTi119/RYcOHYSFKAA04V0iTz9Qkcr7999/r0WpjESBVVVFWFgY3nrrLcN8VuC2BIJe42/gtlJ6Wloaxo0bx402l5aWorS0FE2bNsXEiRO5cg6FhYW4efMm6tWrh2nTpnFTArKzs3Hx4kVUq1bNUB/s0KFDyMzMREBAgKF00KZNm/DZZ5/BYrHgb3/7G9fu888/1xTVzchcVBYkj/9u43a7yzVh5IUMXS4Xhg4dqtnxqhRKSkrQpUsXbaHhCVTm5+ejXr16SE1NRXh4ODdP5+zZs1rlXLdu3biT2j/+8Q8tBG2UxzN//nwEBQUhLy/P8Nz86aef1kpmjY4UGjZsqNuuxxuXywUiMnwZgNuid0aOI3A7N0E0UTKdLyM7VVXxf//3f4ahbGYHeJqJPv3004afy6hbt67pbuns+zNKWvbm6NGjsFgs+PTTT00d42VmZiIkJATBwcHcIzDGlStXNAfMz89PNw+I8eqrr2rvxMMPP8y97tatW7U8s/j4eG6O1OHDh7XFsE6dOty8uczMTISHh0NRFDRu3JjrEDMl8saNG2PSpEm6NpcuXUJwcDBeeeUVvPHGG7o/Q2FhIXx9fbFkyRLdawCeyjEi0nUqDh48iOzsbKSkpHC7LCxatAgxMTGwWq2YMGGCrs2aNWu0+52Wlqb7WVeuXEFcXJxm16pVK13RU+/jIyJPvuCdR+AlJSWa1AERITw8HB06dKggG+F0OjXtLB8fH9SrVw+PP/443n777Qr3s6CgAK1atdKuabPZ0K5dO24nBVVVyzVS7969u1DDCfA0CGb5nGbeEcawYcNMNxxnmyGeU+PNnDlzNKfbiHPnzoGIsHXrVkM7VVURFBRkSqQ0ISHBVLP21NRU7nviDXPSRLRp08Zw8+5tZ+TImp1/WaAjLS3N8JiwspFO1W8UFxejf//+8PHxQZ8+fdCqVStdz5tNGH5+fli0aBHatm2rO/EyZebg4GDs3r2bmzzscrnQo0cPxMTEICsri1v67Xa70b59ezRo0ADFxcVczRK3240mTZqgc+fOwlyWhIQEjBgxgmvDxhcdHW3YqRzw/Ly+vr5CnZhbt26ZmthycnJAJBYdvXTpEsggP4uRl5cHi8UiFEVVVRW1a9c2NZm88cYbiIqKMpW03adPH2HvQcZnn30Gq9Vqulqlf//+aNCggalxHD16FNHR0UhPT8ePP/5omC94/PhxJCYmombNmmjVqpVuVAYor2qelpaG8PBwbr7PN998g+DgYLRu3RpRUVHc533Hjh2IiIhAy5Yt0bVrV27fs19++QURERHo3LkzFixYwH2uNm7cCB8fH0yfPh0HDhzg5j8OHDgQcXFxKCoq4r4/rPrIqDSc5RgaJUez3oF62m/FxcVYunQpli5dCiJ+wUb//v3Rrl07BAYGokOHDrrR33379ml9EW02G9555x3dZ4tVuxER6tWrpwmgeuN0OvHEE09odtWqVdMt9Xe5XBg+fLhmpygKV6LkTseqXbt2hveWKapXr14dRIQJEyYIK7hZwUf//v0RGxtruifi7NmzUaNGDVO2bDMkSlIHPOX+oh6jwO38TaPKXeD2fGmk2cYICwsT6gQCHv0pkYYicFusWMTgwYNN/cwTJkww7EXLeP311xEdHS2c99577z0EBATcFTkFQDpVADzhyRYtWiAsLAwbN27E5cuXdRWci4uL0b17dwQFBWkPr16Js9vtxuDBg+Hv768tGrwvfvLkyfD19dXtL+bNggUL4OPjI0yYXLZsGRRFEVYisgiPqNHkrl27hMmUwO1dmkjRl738IifI6XSCiIRHZk6nE1FRUYZCfmxxfPDBBzFs2DChHRM2NEJVVdMqxoDne05ISBDaAR5nLS4uDgCEjhXrK8grRvDm3LlziI2NRVpaGm7dugVVVbnX37JlCyIiItCsWTNcunQJW7du1V24CgsLMWDAAFgsFsybNw+FhYW6jquqqpg3bx4URcGgQYNQUlLCdYDWr18Pm82GHj16oKioiBu12LdvHyIiIpCeno6ioiKuI3Ts2DGEhYVhwIABhhuNn376ydQz9/zzzyM5OdnwqOrEiRMgIkMhXFVV0bRpU/To0cPw82bOnAlFUXS7C1y9ehU7d+7Evn37EBsbqzXzvZNVq1Zh0qRJ+NOf/qS19LkztUFVVbz44oto2LChVlDSv39/XUmJp556CoqioEGDBrBYLBg0aFCFNlzeQsjsqLJHjx7YvXt3hfEVFBSgdevWsNvtiI2NRUBAACZNmsR1Jn766Sd88cUXWLJkCWw2G1q2bGlKCiQnJweRkZGmIiYAsG7dOhCRqY4FS5cuNb0Zatiwoakq3ddeew1xcXFC6ZIdO3aAiAwjyYDnaI/IXCVygwYN8Morrwjt+vbta1itDniinGYU1d1uN1avXg1FUYSOL+ufKNKOvHHjBvz9/bmdHiqb/3qn6sCBA7Db7YiPjzd8IAsKCtC+fXuEh4cLj4bGjBkDq9Uq7Cq+cuVKEIlbzxw9ehQBAQGG1RqAJ0fBbrdX2DXoveQ9evQoF9bm6QhNmTIFNWvWhKqqhlENNvnMnz/fcEfAevCJKtSOHDkCm80m3FHNnj1b2Mh5z549OHjwICZPnoz4+Hiu3f79+3HixAls2bIFRGTY9mL58uVwOByoVauWqd0ca+ViZnIePXo0WrZsCVVVhUrO3bt3R7NmzYSVXjk5OUhMTETDhg2F2kCffPIJfH190adPH8PxnjlzBo0bN0ZERISh1IbT6cTQoUOhKApmz55tONZPPvkEPj4+GDJkiGH0Yf/+/YiMjESnTp0M241cv34diYmJaN68uaHshsvlQmpqKjp27KiNj9cXMTk5Gc8//7xhxenChQthsViwcuXKCv/mdDq19421OjLqXamqKjIyMhAQEGC4gGRnZyMtLQ2hoaG61cMsirVr1y7Uq1cPwcHB+Oijj8p9H6qqYv369VBVFV999RXi4+Nhs9kwY8aMcvfP5XLh2WefhcvlwtKlS1GnTh1YrVaMHDmyQpRp1qxZ2LBhA9avX69VvXXr1q3CPHrz5k3MmTMHxcXFmDt3LiIiIhAREaH93Z2wee3gwYNaVwyRGj4ALfpndKS2fv16uFwubeNkpgp33LhxiIyMFNo5HA5YrVY8/vjjQgesf//+eOSRR4T9BD/77DP4+vpixowZhnZsU8s7UvamatWqpuyaNGmCdu3aGdr88MMPmDZtmlBR/b333tNanvFOKXJzc7W2SLGxsVzHzzuC2r9/f65Qb2XzX+1UlZWVIT4+Hm3atBHqDb344ouoWrWqMMdn586dsFgs3DwrhtPpRO3atbnK4t4T3ahRo9C0adMKi0x2dnY5b/67775DcHBwuaOX8+fPV2ilcfPmTVStWlXbkV+4cIHbWb1fv34YNmwYrl27ZhgGf//995GUlIQ6deoYyhEcO3YMfn5+wp5SH330EYKDgw11qlgS5+DBgw13Shs2bEDXrl2xadMmREZGchPkf/jhB3Tt2hWlpaWIiYnhtiABPDka8+bN05pli2BtNEQ7ScCjqP7kk09i9erVhj/XpUuXEBISopuEeWfezHPPPYf4+HiheCTLKZs0aZKwnU1KSgoaNWrEbRTOeP311xEUFCRson38+HFYLBZMnjxZqObetGlTdOzYUdi/7dVXX0WNGjUq/Nwul6vcMc3OnTsREBCgTcROp1M3XyM/Px/R0dF49913tWiiHoMGDUJUVJSuthATfmQClGlpaeW05MrKyirk/pWWlqJbt25IS0szvDcOhwMDBw6Ev7+/4XddXFyMF154AYqiGHYtcDgc+Mtf/oLAwMAKEbU7e/299957qFGjBgIDAyvoB7GFVFVVfPvtt5pcgVG5fl5eHiZPngybzYYOHTpw7QBPWsHTTz8NIionUqp3r1RVRdeuXSsoxHszYcIEvPfeeygqKkJoaKipY7VOnTqZypM6ceIEwsLCEBoaKkyy79y5M7p27Yo+ffoY2r399tuw2+146KGHhJ/NipNEhISEoF+/foY2ubm5sFgshjI6gCdHsEOHDoiKijKUY2nbti3+/ve/o3bt2tznMisrC40aNUJpaSlGjBjBVcafO3euFpH79ttvERkZaUps9t/lv9qpAjzJsGZUoYuKioSLB8Oo8uPMmTPai37x4kXd3fiBAwfKHUG4XK4Kk+yJEyfQqlWrCpOG90Nz5coVJCUl6UbMHA4HysrK4HQ60bJlS/Tv3587ZtYTjIgMz69XrFgBIjJ0RvLz8+Hn5ydsazBkyBAQkWFI/8qVKyAiYXXOsmXLtDwuI0eBRQ3Wrl0rfCYGDhyI8PBwwwR/RllZGQICAoQTjzdOpxMJCQnC3dWNGzcqRBpef/31ChWkDodDqC3FEB0dM44ePWoq8uZwOHSPpPQQHUezn/XChQvcz/7555+1Rdztdlc4vioqKkLv3r0r5DuxjRVr28TrFeZ2u7XWLbwjwAYNGsBut3Pfl/DwcC0KkJeXV+E97tWrV4VI6a1bt7R5oLCwkPssq6pqWFHmzc8//2xq/rt48aJwQwl4nDWzmmcbN240tchdvHjRMJLnfc07I3nz58/X1ba6du2aYSR09OjRCAsLQ05Ojmm9LxYlNNOh44MPPtDmGiNcLhfi4+NRv3594TUfeughBAcHCzdDCQkJXFFbxrVr12CxWITOnNmuFmPGjAFRRTHcO0lKSkKTJk0M7yE77Zg1a5Zh1GvRokUIDg7GiRMn4HK5TD3nlcF/vVMl4tSpU8IEt2vXrmH69OmGxwtOpxPTpk3D+PHjDa/FcgSMSul3796N6Ohow4qG/Px8pKamCpNln3/+eRARRo4cybXxFvbkLWSqqqJx48YgIkyfPp17LdbuJigoyPDFSUxMBBEZVqmwPAJfX19DIUSmLC/Kg1m9ejWICHFxcUJngQmwGgntMVjek5lJhcHEPJOSkkzZA54JmE1eZtuUAB5H/M7jHSPcbrep1iYATLXmcblc3Lwpb5v333/fMPewpKQEL730kmGz2JycHDz44IOG95Xde94u3fv71HNUCwoKNCkInohvrVq1QFSx4TJjwoQJCA8P100WBzyOYa9evYSOjijB+T+dv/71r0hKSjItostgEjcicV9Gdna29p2L2sSoqqo1tTZq6QXcTquwWq2GDgSLMIvmGDZnEpHhnMk2okFBQYbv+ksvvQQiErazYdJColy2sLAwEJHusTmD5e/abDbDQMdnn30GIkKzZs3+qc4U/y7SqeJw5swZDB06FN27d+fuVEpLS/HWW28hIiICs2bN4l5r7969aNSoEYiIu3gUFRVpMg1paWnca23YsEGTaOCFR4uKijQV8cDAQO7OhZV9E/Fbs5SVlWnOGRFxj0lZRZRoImLOiFGCNzv3JzJuf8BeGiLj1ixTp07V7IxytJjDR0SYPHky1w4AWrRooU12eiXq3ixatMj0dQFP5IJJCURERAjtAY9DwZTvw8PDTVUClpaW4u233xY+vwyn04klS5bgiSeeEO76Tpw4gWeffdZQH8blcmHFihVITk42PDLesmULGjdujNTUVO6zcODAAc2p5zkyR44c0fShxowZo2vz3XffaW08XnjhBV0bb1kBvfzKH374Qft3XsUnmw8iIyN1HbNNmzaByCNjwYv8zpgxAz4+PpgwYQJXVmD27NnIyMgwXGgLCwuxb9++370C+88//4wNGzb8Uy2SsrOzYbFYEBAQgI8//tj0zzhw4EDtOxQV1QC3W0sZPTcMlrNJRMJIkLdiuVG0l50kiAotRowYodkZOS5MEoPIWB3ee3xGjmvNmjVB5FFU57WWcTgc2rXq1KnDdYRYnhsRoUuXLtzvdO3atZqdKN2kMpFO1R2cPXsWGRkZsFqt8PHx0S0XVlUVGzZs0ARAq1SpojupFRcX46WXXtImaV7H7+PHj2uTLBFfH4sl8TI7vaMxp9NZznFp3ry57rXOnz9fzlniibItW7YMDzzwgOHOHPB0U7fb7fD398eDDz6oa5Obm4sGDRrAarWiRo0a3CjUunXrtGqhRo0acZ2vqVOnws/PD/7+/oZ5caNHjwYRITg4GA8//DC31YW3Vk+bNm0MI3xMnLF27drcBZoxaNAgREZGahIBoujN3Llz0aBBA20sIvv8/Hx06NDB9EQNeJzg+vXrGz6/jIKCAsydO1ebGHkyCKw1zWOPPQZFUbi5Zi6XC8uXL9feH16RwZkzZ8qV7+vlZLlcLsyZMwd+fn4gItSqVUt30f3xxx+1VhlEhA0bNlSwOXXqlBYhJSIsWLCggs2+ffvQsmVLEHk0mPT01mbPno3w8HBYLBY0bdpU94iYbXrCwsLw5JNPVhizw+HQZBCIPA1r71w8rl27pm2w7Ha7bpK2w+FAYmIiLBYLBgwYwD3aHT16NBo1aoQ333yTKwlw/fp1TJ48Gd9++61h9MLhcODbb781JVvwww8/YP369aa0psrKytCiRQvUqlULf/nLX0zruHm3xho0aJCpI2u2QYmIiEDv3r2FkY5+/fqhZs2aiIyM5M65jIyMDK0AQK/NEWPPnj3a5s1ms3ErfPPy8tCiRQsEBAQgJCSEu0EuKSlBamoqQkJCULVqVW7UqLS0FImJiQgKCoLdbufObyUlJahatSr8/PyQlJTELdi5efOm1tapYcOG3LXm/PnzWrQvJSWFW8zkHSlu1KgR97iZCayyzbmZKu3KQDpVXrCqJ/ZFjBo1StduzZo1qFq1qtAh2bBhQznHhefx79ixQ/P4LRaL7mShqipOnz6tXY9Xnq+qKgoLC1GlShVUr15dt3cZg8kl9OvXzzBh9PXXX0fVqlXx7rvv6h5LstL8zp07Y/DgwdzoRGFhIVwuF/z8/LB06dIKuS6M06dPIzMzE0SeCjzesdTmzZvx6aefwmKxwOFwcCNyn3zyCebOnQt/f3/DCMvKlSvx/vvvg4h0nWlvFixYgCeeeALdu3c3tAM8eXvTp09HUlISXC6XMOdCVVW88MILaNiwIZYtWyY8wrl161Y5Ich33nnH0H7NmjXl1Lh5zy+TQfBWK+fp0ezfv19zNpgDq3e8kJWVVa63YUhIiO7zfunSpXKOIi9Kdfz48XJRhddee013fGfOnEGPHj206A9vYd28eTOICC1btsQXX3yhe0/27t0LIo8mkF4F2cGDB8uJf+otyP/zP/+DRx99FLGxsdznlvWSi4qKQmZmpq5zzY57iQjt27cvl6TN8F5ciAiPP/54BYfH4XAgJSVFcxZ79OiBL774osLYv//+e1gsFgQFBaFPnz5YsmSJbuSByQu0bt0aU6dOxfbt23Wfe4fDgdatW8PPzw/p6emYN28eDh8+zI0+HDt2TFugrVYr+vbtK1wsvSPQzz33nKnc2JkzZ2LChAmIiooyJZGQm5uLESNGoEOHDrh+/bphNK2srAwDBw7EI488gj179nCv73K5yokR8/LkWKcKPz8/LF68WFf3DPA4QWVlZYiLi8Ps2bO5KSZFRUUoLCxE3bp1MXPmTO5mNT8/H9nZ2YiPj8drr73Gnaezs7Nx+PBh1KxZE7Nnz+bem5MnT2Lz5s2IiIjAggULuM9AZmYm3nnnHWF1+E8//YShQ4fCarUK9RMrE+lUecHKztkOhVcllpWVhdq1a8NisSAmJoZbgXTy5ElERkbCbrcjKSmJ+/Ls2bMHVqsVf/jDHwzF0ZhY4IoVKwzL+N98803YbDZcuHDBMHQ9cuRI1KtXD6qqGiaMpqenc6sDvbHb7VyBSEZZWRmISHfB8oYpCYsaoO7fvx9EpLuYeHPkyBEQiTVNysrKEBISIky8BDz3OTIy0tSRwsKFC02VWzMeeughU+0xAM9C37FjR6SkpGDOnDnCCkOzzy/gidyyo8jIyEjuBKuqarkjAyPHzvs4ds6cOdzrZWRkaJFZXuVgcXExmjZtinr16iEkJIRbOLBv3z74+Phg1qxZhkKFvXv3RsuWLVFUVMQVoPz4448REBBgGEHcvn07iPh5K/n5+doxBq90/O2338aHH34If39/rvju2bNn4ePjg/DwcLRu3Zq7sPXt21e758uXL9e1OXr0aLk2Qx988IHunMVyFNmvp59+WtdJff3118vZPfDAA7qR7tzcXCQkJGh2AQEBhps871Y1KSkpwk1HQUEBEhIS0KZNGyQmJpqKiqmqil9++QVE5hTSAU/VbseOHU3Ztm/fHsOHDxfasZwqUZXr1atXQUSG0iaM0NBQU8rrzKkS0axZM1PSC+3atROKTQOeyKJRCgkkbPekAAAgAElEQVSbb7t162YYlWe6dT179kSXLl2En1tZSKfqN86fP4/ExETEx8dj+PDh3CO4K1euoF69eqhXrx6++uor3SMCwJMgWq9ePTRp0gS5ublciYWbN28iISEBHTt2hMvl4uY+FBYWwm63a84Nb0IvKipCTEyMMCG+uLgYYWFhwlwah8Mh7MXErqcoitBZYv2x9I5fvMnPzwcRPz+GUVRUBCKx+KXb7UZERIShSCijZ8+eptTPd+7cCSJ+npw3n3/+ORRFMZ3rFBAQoFuOrweruty5cyfKysqEbWfq1auH+vXrY926dYZaS0eOHIHdbkfdunXRvHlzbg5faWmppkPVq1cvpKWl6f6cqqpi8uTJIPL08atfv75uFIdF6nx8fPDVV1/h6aef5pbGDxw4EGFhYThx4gQ3EuxyudCsWTO0atXKMMn+7NmzXG0pb8aOHQvR3HT8+HEQ6aule5OamsqNJrNx/uUvf4G/vz93bpg5cyYOHjyIsLAw9OnTR/feZ2VloWrVqhg4cCB8fHy4LXYWL16sbSpr166tm+vGqiO9I2R60R9VVcv1KjVqP3P8+HFERESAyJMHOn/+fO674na7kZ6ejoSEBFgsFvTr10/oKB07dgwXLlxARESEKfVv9jnR0dHcXqx3MmzYMNNOVXx8vCmHZd68eahWrZrQjm0uRVW2brcbiqIIJX8Aj1P16quvCu06d+6MoUOHCu2GDBmCzp07C+1efvllUwU6CxYsMFVtuWLFCvj4+Jjq+VgZSKcKnqRau92O5ORkXLp0CVlZWbpf1PXr19G4cWPUrl0bWVlZUFVV9ziptLQU6enpqF69umGFBeBJiIyKijJsywAAkyZNMtyJM/76178iICBAaLdy5UpYLBahbhFrvWCUXwTcTh4UlXKbbafgdrtNLXBlZWWoVasW99jH+3rdu3cX6q6oqor58+ebSvYuKiqCn5+fYQ84Bks85iVpesN2yGYqlvLz81GtWjVTUS32/NapUwcXL17kPr+ApylueHg40tLScPXqVWzbtk03alFQUICHH34YNpsNX331FXJycnTH7Xa7MXLkSFgsFs054zkJM2bMgKIoWmNkXj7LggULoCiK0EFfsGABrFarMJo5ceJEVKtWTZg/0759ewwdOtQwUsXkPkSbgjfffBPBwcGGkQin04mGDRuiU6dOXOcS8CRA+/n5YcyYMbp2e/fuhaqqWsWWXm9D5jBdvnwZ6enp8PX1xTvvvFPBzul0on379nj33XeRnJyMwMBA3fY3LpcLjz32GPr06YNGjRrBz88PU6ZM0Y2obd26FXXq1MErr7wCq9WK5s2bc6sbL1y4gM8//1zTnjOjlwbcjvbzonV3MmDAAFOOQGlpKZ555hl06tRJaOt2u03PG8899xxX2sMbJgfDO11hFBQUmNrUAuadqieeeEKYx1lWVoZXX33VUHwZ8Dx/LDrHE99lsNOH7du3G9rdunULNpsNCxcuNLSrLP7rnaoDBw4gJiYGTZs2NRQAvXnzJlq0aIEaNWoYvryqqmLEiBGw2WzCsnZWvSZSXj906BCsVis3esZwOByoXr16hTJ/vcm/S5cu5bSieD/Tn/70J621gNE4WaXF/PnzDXMQmMaISCm8rKwMNpsN7777rqHd+++/j/T0dGFj48WLF2PmzJmoWbOmod3y5cu1nBlR2H/RokVIS0szFcZnO0kzGj6LFi1CUFCQ5tQZ6UaNHTvW8FiOwZ7fmjVrCh3k1atXw8/PD48++qjhYs9E+PSa73pTWlqKp556Cr6+vsJI5oIFC0BkXKUJeBKcfXx8hM70uXPnEBQUhD//+c+GdkVFRYiIiNDkQHg7flVVERERgfHjxxtqJ23cuNGwF+bRo0dx/fp1XL58mbt58HZkdu7cCUVRhLkhn3/+uWGeHIPd57Fjx+o6Quy/06ZNg6Io6NevX4U8rNzcXOTn58PhcODll1+Gj48P2rVrVyFXp7i4GD///DNKS0sxb948BAUFISEhAd9//32FcbFN2YEDB5CWlgYfHx9MnjzZUO7DrLI/Y9SoUQgODuYKb3pvhD/66CP4+/sL5UZ27dqF7t27Iz09Xfj5bGMp6ioBeI64mjRpIszr+uCDDxAQECDc1F64cAFE4ob2ABAVFWUoj8No0aKFUJx17969mDp1Knx8fAwjS8uWLdNSP4z6vm7atAmqqiIuLo6rqH769Glt0/iHP/xBKqrjLjhVTqcTdrsdbdq0EXrFo0ePRnR0tDBfhZXLihYPh8OBatWq6eoc3RlBGDJkCJo0aVLBObozP2jdunUVlJQXLlxYIRqVl5cHm82mld6uXbsWc+fO1R3nww8/jIyMDBw6dMhQrXf+/PmIi4tDjRo1DAU7Dx8+rE3mRuzduxdWq1XYyPmpp55Cx44dhcKaDzzwAD766CNYrVbDhqdDhw7Fxx9/jMjISGHeQe/evfHII4+gZcuWhnbA7cnMTL+vUaNGaZPUjh07uFGoq1evwmaz6R4TFhcXl5uIR40ahSpVqhi23gE8i5qiKFoLEh5utxuNGjVC/fr1hU7ajBkzYLPZDOUVgNu9vERH0i6XC0lJSejTp0+FxebOd2fs2LFITEwsd+S3f//+CovP+vXr4efnh+zsbDgcDm50IDs7W3MejCINr776KoKCgrjtRbZs2aId+3Xr1g0DBw6sYHNnr7JRo0YhISFB+154C+3cuXOhKIrwu165ciV8fX2FR+IbN25ElSpVyrW10mPv3r1o2LAhAgMDDSP058+fx2OPPablbfFwuVx46623EBQUhDZt2hgea3v3oBRpdzkcDjRu3JgrePzGG29okfRz585BURRhLubChQsRHx9vKqrFNlhmokANGzZEcHCwcN157bXXEBwcjEWLFhnasflXpI8FAL6+vsjIyDC0yc7Ohp+fH1JTUw3tli5divbt28NisRiuDwMGDMDf/vY3xMTEGOZl1q1bF/n5+cjIyODe83/84x+alMLXX38Nf39/4eazMvivdqoAz0RgpsQ2Pz/fsCLM+0yfF+HIzc0tF706efJkhfyOkpISjBgxotz1SkpKylXKqaqKadOm6fYC9Lb7+uuvERQUpDv53rhxAyUlJVqeAe9ldLvdyMvLQ3p6Oho0aKBrw2CVc3o7UO+fJTQ0VDj5zJ0711RoNyUlBYmJiYZHMaqqIjg4GI899pgw4bNbt26w2+2mOs0nJSWhcePGpgQui4qKEBgYaKo9hKqquHnzJoqKipCYmGh4tHf69OkK329OTk6FPJ38/HxhvgVbtDZv3mwq+T4zM9OUuOStW7dMi5EaLV7e+TinTp2qII3hdDrx3HPPlSu6KC0tLef0HTt2DFWqVNE9hmWbj/HjxyM6Opo7jqNHj0JRFLz00ktcm+7duyM0NNSwcpUdg+fm5uq+o927dy+XyF9QUFCuUrKoqAhTpkyp8Pypqloucmh0nLlz505Toq8XL14U5ocBnvdbpBLOWL9+vfC4CvDMaUZ9+hisBQ57dktKSrhz0blz57jSKgsXLkRMTIx2r80840OGDIGvr6+pvJ28vDz4+vpiwIABQlt2XCk6Krx27Rp8fX2FEXv22UYdNIDbDcFFCejsqE7UoJnlUormoHbt2qFevXqG91xVVSiKgnHjxiE/P5+7+fvpp5+gKAq2bNmC0tJSoYh3ZfFf71QZcenSJeHZe2lpKWbPni2MamzevBmxsbGGO7icnBy0bt3asEzfO9nXSJRtz549sNlsSE5O5tq4XC60b99eGIpmR3tGR2dutxvJyckgMm5ZwCaJwMBAw8m+Z8+eIDJW4HW5XPD39xfmCOTl5WnJsqIWLExAUiRL4HQ6tco0ozA1g00+wcHBptpYALfV7s0cLzJYg3Az1TiMM2fOYPr06aaFEUUREMbp06eFWkWFhYWYO3euobN78+ZNjBgxglspCHgWlfbt2xtGU86ePYvY2FjExMRwbZizY9TncuzYsSAiroOsqqpWMckT7mQyB3Xq1OH+7BMnTgQRGRYs9O3bF506dTLM1Xv55ZeFOTRXr141rah/r/hnRD8Zjz32GMaOHWu6AwBwOy2jU6dOpj+TKaSLjl0Bj8QLESEmJkb4zj366KPCeRC4XRFZt25dQzsmL1GlShXDz2YVngkJCYZ2L774onavzPwcvF63DFZ9b5QeUlJSAiKP/JDRfM7SOOLi4oQnUZXJXXWqiOjF3xa3aDP298qpKiwsxIwZMxAUFGSYN7Fnzx6kpKQgNDSUu3g4nU689NJLUBSFK/4JeNoM2O12w3wSVVW1hZaIuN78mTNnNB0to8jIzJkztWvxqueKi4u1lhqhoaHca33zzTfatXj6XoDnbJvZ8aJQLpdL00aKioriOiGswoqIDHMZ2LESEQmbH0dHR2sTnlEEkyVJEvFFXb158sknNftt27YJ7bdu3aoJ4Rm1EPJmw4YNCA4OBpG4VQbgiXRMnToV/v7+wuNqwJM30qVLF6HcxIULFzB8+HD06tWLa6OqKpYvX46aNWsa5jux5GWj0P2hQ4cQHx8PIuIet12+fFkr2+fJluTl5SE2NhZExO2NduPGDQQFBWkLjh5mnssNGzZoNjy156VLl4KIoCgKVq1apWuzatUqEHnEP3kRclb40LdvX25hSlFREdLS0vDWW28ZOlc///wzNm7cKMzxuXTpkqnNQ3FxsbBYhnHr1i0MGTIE3333nekNANvEpaSkmN4MsH52RIQZM2YI7QsLCzWB56SkJOHYvMVIjY71Ll26pG3cRGuht/abkYPdrVs3zc6oz6a3nVGBR+vWrTW7s2fPcu2YsxQYGGgo38Perbi4OK4j7L1JbtmyJfdZ9J739Y7X/39x15wqIoojou+J6Pzv1alyu91YunSpphzNc0hu3ryJcePGaS8Sb1I8ceIEmjdvrn2xvOTAdevWldOH0Ytmud3ucuXJvKO469eva0rZRIRx48bp2u3cuRMxMTGaHS/qNXv2bO1+KIrCfYB79OiB6OhoWCwW7tEek4WwWq0ICQnh5hRkZmZqzkGNGjW4yd3r1q3TJp34+HhutRyrjCHyKOsaieMxO7vdbrjrXLt2rfb9JyQkGE48DocDcXFx8PX1RVhYGDexknHr1i20aNFCUwk3clIBj4Py1ltvaeMRlRmrqoq1a9dqznJycrLhIpmZmakJZ9avX5977cuXL2PMmDHw8/ODxWLhHpfv3r1bEwoNCQnRnWSLi4sxfvx4zbHkTYr/+7//i5CQEO1706sovHbtWrmuALw2IsOGDdOceV5J95w5c7T7ZrVadR2QpUuXamrodrtdN+ds/fr12nhq166t6xAxAVz2WXqVhDdv3tSitQEBAdxjGNZ7jWmw6UVgWJJ7tWrV8Ne//lX3ZystLUXTpk2RmJiI+fPnczd22dnZaNiwIcaOHYvMzExDR2Po0KHo2rUrVq5cKTyeZw5Po0aN8Nlnnwkdt9LSUk3oNjAw0FSrmh9//FG775GRkdz+i4zt27dr34Hdbjfc0OTk5GiOe0hIiGEhzuuvv47Y2FgoioKgoCCus7t//37ExcWByKO8rqesD3jeg5o1a0JRFISGhnLlgIqLi1G1alX4+PigSpUqXOkHlsphsVhQs2ZN7nzucDg0Ue1atWpxJSqY3A6z41XrXb58WbOLjY3lFm+wHoFEhOjoaKHsTmVxN52qNUSUQkTnfo9OVVlZWbm+SET68gButxvTpk3TJnKr1aoraOd2u7Fo0SJUq1YNRB7dFz3P2+Vy4euvv9YcHN7PXFJSgr179yIkJAQWi4Xb2sPpdOLgwYNQFAVxcXHcqILb7caqVau0TuS86InL5cILL7yABg0aYNKkSbp5CKqqwuFwoG3bthg2bBi391RBQQGKiooQHByMDz74gOuInD59WnshfvzxR+7Oa+fOndoxyqFDh7gT8j/+8Q98+eWXIPKIf/KOHXNycrB06VLUqVMH06ZNM5ywt2/frvU7PHTokOHuvqCgAAUFBYiOjsbbb78tTDp1u93aYjlkyBBDoVfAMwl+8cUX2kIuko348MMPyzkivCOqkpISDB48uNw7wTtGYo3AmR1P5O/rr7/WmqYSEdfB/OKLL8ptDvREYN1uNzZs2KBFeOvXr697raKiImzcuFFbyPTyU1hXgLZt26Jjx47cKFtRUZG20dixY4eudMm+ffs0Rz47O1v36OHrr7/GK6+8AiLC3//+d12ntqioCFarFcHBwRg9ejTXgenduzeIPErxH374oe57wCQ92AKjFw1XVVVrn8OcK73v+9ChQ5rDb7PZ8Mwzz+gmh3sruScnJ2PWrFm6G8Zbt25pLYtCQkLwzDPPYOvWrVxHv0+fPtp14+LisGjRIkNHyTu6P2LECG6rLcb+/fuRnp6uKZSLonIHDx7UHOAdO3YYHjXduHEDt27dApGnR59Rnm5eXh7efPNNVKtWDcePH+fma+Xl5Wnz5datW7kRqLy8PBQXF4PIIynBy2+6ceMGcnNzERUVhYULF3I7X1y7dg0nT55EzZo1MXfuXG4EKjs7Gz/99BPi4uLwxhtvcOfpCxcuYMWKFahevTreeOMN7vx76tQpTJkyBdHR0Zg1axb3iPbs2bPo3bs3wsLCMHfuXFPK+JXBXXGqiOhRInrrt98bOlVENJyIMoko026334VbcJsff/xRa4Fg1Ol+06ZN2mRnpPzKdlWpqamGZ8mLFy+GoigYO3asYbj5tddeQ2BgIP7+978b5kA999xzsNvtuHLliuGZc+/evdG5c2eUlZUZ5r40b95cO9M3mryqV6/OrSJksCRD3kLOMCsSykLBIjuXy4XAwEDDaiPG448/jkcffVRoxzRfeDvDOwkJCTH1+YDHqVAUBTk5OabyQaZOnQqbzYZx48YJS7XPnj2LGjVqwGKxIDEx0TBvZMuWLVo0sGvXrtzvn4ndsoWRl+h/48YNrR1KaGgodyI+efIkIiIiEBcXh5SUFO7nsuOv8ePHGyaOP/HEE2jYsCH27t3LXXSys7OhKArWrFljKCY5YsQIYbUpq/DiOdAsuTw5OZkbTQY8woUzZ87kRvQATw5Qnz59EBAQwD1KVVUVTZo0QUBAACIjI7kinL/88osWHWzdujV3AzJr1izNUWnWrBm3Dx/L/2ROGi9xfP/+/Vq0h4gwffp07kYlKytLi2RHREQI9al+/fVXVK9eHdWrV0evXr2Eiyvb/PXp00dY8chgzYDXrVsntGVzlqgaFvDcv0aNGgntmBCx0REcAM2p4nUo8CYmJsZQHJjRqFEj4cYP8CShDxs2TGjXo0cPw40hmwv69etn2IGEtYgaNGgQ0tLShJ9bWVSaU0VEm4nokM6v3kS0m4jCYMKp8v51NyNVO3fu1PpZZWRkcKMoBw8eRGhoKPr374/Vq1dzdUFOnTqFsLAwDBkyBNnZ2dyjqaysLISGhuL555+HqqrcxSg7OxvBwcFaKSxvYsjNzYXNZuOGdhl5eXnw8/MT6kUVFBTAYrEIFXgLCwtBRPjyyy8N7cy+1C6XC2RwZOpNWFiYUM8K8OipiI7SAI/zGhsbK7QDPDlYonvNYD0PzTBw4EDTuiq//vorrFYr3nzzTZSWlhrulHNyclC3bl00bNgQK1asMGwH8sMPPyAoKAjdu3dH48aNubvq3NxcNGnSBDVq1MAf//hHvPHGG7p2t27dQqtWrVC9enV8/vnnmDJliq7dzZs3kZycjCZNmuDq1avcyOeVK1cQHR2NjIwMw3eH5VaI8sYWLVoEm80mrAZ++OGHMWjQIEMbJqEhql598cUXDZvqAp7KzfDwcN1qX8DzLl+7dg3vvPMOLBYLtxfe559/js2bN+PBBx9E7dq1uY5QRkYGBg0ahKCgIHTr1k03suByudCyZUvtKHTkyJG6DlhpaanW249FinjO0sKFC0FE8Pf3R3JysmGl2IIFC9CgQQNUq1aN2/7Gm82bN2Pbtm3w8fExrZDOikuMJAC8CQ0NFeqrAZ5KSjPPBuA5GjWjfcVyWnkVjYzr16+DyLhCm1GjRg1ujqI37du3N9V+xqyi+pQpU7j5it68//77sNlshv1cgdtH7byIW2Xz/z1SRUSNiOjqb87UOSJyEdEFIqom+n/vllP1yy+/ICwsDI888ghKSkq4pZeXLl1CXFwcWrdubdjAt7i4GKmpqWjcuLFhjoCqqujWrRsSEhKEuQTDhw9H9erVhRP+q6++irCwMOHLtXjxYvj6+grLhb/77jsQkTCZlC1cItXq3NxcEIkV1QEgMDCQ2xrFm9TUVEycOFFol5GRIYwwALeTiM1omqSlpQkrWgDPd01E3IRjb0pLSxEeHm5q8i8rK0Pz5s25rWG8yc/PR2pqKurUqYPLly+jrKyMG2LfsGEDAgIC0LdvXzidTu4Cl52djQceeAB2ux2nTp3C+fPndSNrDocD6enpiIqK0hrm6kWD3G43evfujejoaOFi1q9fP8TGxgorex5//HE0btxYGKHo1KkTnnjiCUMbwKORIxJFZO2TRJsH1rGA19yWMX36dISFhRmWhbvdbnTp0gXx8fG699blckFVVVy5cgXx8fFo1qyZrt2VK1dw6dIl7Nq1CxEREWjbtq3uPT5+/DhWrVqF1atXIzAwEO3atdM9qj9//jyGDx+Ov/3tbwgJCUFKSgqOHz9ewU5VVfTt2xdHjhxBixYtEBgYyN2ElJWV4ZtvvsG5c+fQoEED1KhRQ6hPBXhyRH18fExJNJSUlCAiIkLYz5SRlJRkSiyTFTKIhDoBoFevXqb6ri5duhS+vr7CfLGsrCzTDl1cXJxhxS2jT58+wpQDwKNXJ1JUB6ClaogkEE6ePAkiwpYtWwztHA4HQkJCTG9+/13uyvFfuQv9ziJVBw8eRFRUFDp16mSYF3Pr1i00bdoUdevWFS62GRkZCA0N5bbhYHzyySdQFEVYDXbw4MFy7T14OBwOVKlSBZMmTTK0AzyJq2aOuF5++WVhmS5wW3ZB5ByabZQMAFWrVjUVfn7sscdMvdRvv/02wsLChBMPS4Q0o8781FNPlVOm58GS4EWRPOD2Qqu38NzJnDlz4Ovra5ibAXgc/Xbt2iEmJka4gK9Zswa+vr4YNGiQoQZXVlYWkpKSkJCQYOgAlZaWonfv3ggNDRVqHU2dOhVWq1WYHLx69WoQGcuKALeP4UTaSVevXoWPj4+wLZLL5YLVahXq8gCAzWYTvrNOpxPBwcFCCY+8vDyEhYUJF+2LFy8iIiJCKMNx4sQJREVF4ZFHHjHMHfTuOKHnMLF3af/+/bDb7bDb7bopB2xeOHnyJJo0aYLg4GDde83mYKfTifHjx4OIMHToUMN55caNG2jXrh1CQkJMtb/q1asXqlevbkqLzrvpvIi2bdsKpQ8AT86d2fe7ZcuWGDNmjNBu/vz5hlIhDKY/ZUZzrHbt2kLxZQB45plnTEXTli1bBqvVKtT1O3/+vClnSVVV2O12YeEP4JmnjcSrK5P/aqeKVWU99NBDwoacI0eORFRUlNBRYgmxokm8qKgIUVFRQmVxwFOOn5KSIoxEMIVkUR/B69evw8fHx1RTzbZt25pqljlr1ixhCxjgtqKvmV1lfHy8sA0J4ElEffDBB4V2rKrHTBi4WrVqQmVvAHjllVdMNf9k+VeiXnAAMGHCBKHQKuBJFA0MDDRV9j1q1CiEhYUJ7/vevXthsVgwcuRIw8iOy+XCAw88gPr16wujmK+88gpsNptwd7x7924QkVAV2ul0IjY2llus4c3gwYNNRamWLl0Kf39/oa4W2xSY2enHxsaaijb27t3bUH6CMXXqVFSpUkV43MHyzIxaBwEeeQSbzSZU9j558iRq1aqFtLQ0YbPutm3bIjAwkNsCBvDMu6NGjQKRWA/uyy+/RFhYGFq1amX42SUlJRgwYACsVqvQYbhx4wZq166NJ5980tAOuJ2rZKYPZ9++fYU98ABPkQuRfpX3nSQkJJhSXv/zn/9sqEnIYCcKIhFO9tlmmj5PnDgRTZo0Edr99NNPpvK+VFVFdHS0qaPHP/7xj2jTpo3Qbt26dVAU5a40Vb7rTtU/8+tuRKp++OEHU8JgV65cMaUKraqqKY0gwLNjMaPmXlBQwE0svfOzjbRHvDl37pwwqgR4InS83AtvSktLhc4c4AnbZ2dnm9KwuXLliqkxXrt2TbgYAp7J/PLly6Z2nefPnzellH7jxg1Tz4/b7TaddH6nCrgRu3fvFjYABjy5VLt37xbaqaqKNWvWmLpHP/74o6lJ6vr166a0uVRVxcaNG0199sGDB00pJBcWFpqKCKiqatouOztb6NgA0FreiMjKyjIlvJmXl2f6udi2bZup+7ht2zZT705WVhY3V8sbp9OJZcuWmfrstWvXmooWnTlzRhiRBDzv2MqVK00/P2aeXVVVhdW6jNzcXOHmHPC839nZ2aaERc3OL8XFxabuZVlZGXJyckzNv7m5uabWp7y8PFPvYklJCbKzs03Pv2buz+XLl03dc4fDIXTmKguzTpXisb27NG/eHJmZmXf9cyUSiUQikUj+WRRF+QVAc5Gd5W4MRiKRSCQSieQ/HelUSSQSiUQikVQC0qmSSCQSiUQiqQSkUyWRSCQSiURSCUinSiKRSCQSiaQSkE6VRCKRSCQSSSUgnSqJRCKRSCSSSkA6VRKJRCKRSCSVgHSqJBKJRCKRSCoB6VRJJBKJRCKRVALSqZJIJBKJRCKpBKRTJZFIJBKJRFIJSKdKIpFIJBKJpBKQTpVEIpFIJBJJJSCdKolEIpFIJJJKQDpVEolEIpFIJJWAdKokEolEIpFIKgHpVEkkEolEIpFUAtKpkkgkEolEIqkEpFMlkUgkEolEUglIp0oikUgkEomkEpBOlUQikUgkEkklIJ0qiUQikUgkkkpAAXD3P1RRcono/F3/4PuLaCK6dq8H8R+CvJeVh7yXlYe8l5WHvJeVg7yPfGoBqCFX+poAAAQ6SURBVCIyuidOlUSMoiiZAJrf63H8JyDvZeUh72XlIe9l5SHvZeUg7+O/jzz+k0gkEolEIqkEpFMlkUgkEolEUglIp+r3y4f3egD/Qch7WXnIe1l5yHtZech7WTnI+/hvInOqJBKJRCKRSCoBGamSSCQSiUQiqQSkUyWRSCQSiURSCUin6neGoij9FEU5rCiKqihK8zv+7WVFUU4pinJcUZSu92qM9yOKoqQqirJLUZT/UxQlU1GUFvd6TPcziqKM+e05PKwoypx7PZ77GUVRXlQUBYqiRN/rsdyvKIoyV1GUY4qiHFAU5UtFUcLv9ZjuNxRF6fbbO31KUZTJ93o89yvSqfr9cYiIHieibd5/qShKMhH9gYgeIKJuRLRIURSfuz+8+5Y5RDQDQCoRTf3tz5J/AUVROhJRbyJqDOABIpp3j4d036IoShwRPUxEF+71WO5zNhFRQwCNiegEEb18j8dzX/HbWvIuET1CRMlE9ORva47kn0Q6Vb8zABwFcFznn3oT0SoATgBniegUEcloi3lARKG//T6MiC7fw7Hc7zxLRLMAOImIAFy9x+O5n1lARC+R5/mU/IsA2AjA9dsfdxFR7L0cz31ICyI6BeAMgFIiWkWeNUfyTyKdqvuHmkSU5fXni7/9ncQczxPRXEVRssgTWZE72X+dJCJqqyjKbkVRtiqK8uC9HtD9iKIojxLRJQC/3uux/IcxlIi+u9eDuM+Q60slYb3XA/hvRFGUzURUTeef/gzga97/pvN3cnfrhdF9JaJ0IhoPYK2iKP2JaDERdb6b47ufENxLKxFFEFFLInqQiFYrihIPqc9SAcF9/BMRdbm7I7p/MTNvKoryZyJyEdGKuzm2/wDk+lJJSKfqHgDgX1nMLxJRnNefY0keYZXD6L4qivIZEY377Y9fENHHd2VQ9ymCe/ksEa37zYnaoyiKSp5GrLl3a3z3C7z7qChKIyKqQ0S/KopC5Hmf9ymK0gJAzl0c4n2DaN5UFGUwEfUkonTp4P/TyPWlkpDHf/cP64noD4qi+CuKUoeIEolozz0e0/3EZSJq/9vvOxHRyXs4lvudr8hzD0lRlCQi8iPZ2f6fAsBBAFUB1AZQmzyLWlPpUP1rKIrSjYgmEdGjAIrv9XjuQ/YSUaKiKHUURfEjT1HU+ns8pvsSGan6naEoSh8ieoeIqhDRBkVR/g9AVwCHFUVZTURHyBPeHgXAfS/Hep8xjIjeUhTFSkQlRDT8Ho/nfuYTIvpEUZRDRFRKRINlZEByj1lIRP5EtOm3yN8uACPv7ZDuHwC4FEUZTUTfE5EPEX0C4PA9HtZ9iWxTI5FIJBKJRFIJyOM/iUQikUgkkkpAOlUSiUQikUgklYB0qiQSiUQikUgqAelUSSQSiUQikVQC0qmSSCQSiUQiqQSkUyWRSCQSiURSCUinSiKRSCQSiaQS+H/L6sWB7GGNEwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] @@ -574,12 +566,12 @@ } ], "source": [ - "plotVectorFieldOverPlane(coord[0],coord[1],coord[2],vectorFunc = mol.compute_gradient(grid_plane),step_size=0.25, title='Gradient Vector Field of Electrostatic Density')" + "plotVectorFieldOverPlane(coord[0],coord[1],coord[2],step_size=0.25, title='Gradient Vector Field of Electrostatic Density')" ] }, { "cell_type": "code", - "execution_count": 94, + "execution_count": 77, "metadata": {}, "outputs": [], "source": [ @@ -637,39 +629,20 @@ " xy = np.meshgrid(grid_2d[:,0],grid_2d[:,1])\n", " \n", " scalarFunc = mol.compute_density(grid_plane)\n", - " scalarFuncPlot = np.array(scalarFunc)\n", - " \n", - " \n", - " print(np.shape(grid_2d))\n", - " print(np.shape(scalarFuncPlot))\n", - "\n", - " lenScalarFuncPlot = len(scalarFuncPlot)\n", - " print(lenScalarFuncPlot)\n", " \n", - " # PROBLEMATIC \n", - " scalarFuncPlotRefine = np.atleast_2d(scalarFuncPlot)\n", - " print('scalar')\n", - " print(scalarFuncPlotRefine)\n", - " #scalarFuncPlotRefine = scalarFuncPlotRefine.reshape((lenScalarFuncPlot),lenScalarFuncPlot))\n", - " \n", - " print(scalarFuncPlotRefine.shape())\n", - " \n", - " #levels = np.array([0.001 * n * n for n in range(1)])\n", - " levels = 1\n", - " plt.contour(x,y,scalarFuncPlotRefine,levels)\n", + " levels = np.array([0.001 * n * n for n in range(1000)])\n", + " scalarFuncPlot = scalarFunc.reshape((len(x_grid), len(y_grid)), order=\"F\")\n", + " plt.figure(figsize=(10,10))\n", + " plt.title(\"Contour Plot of Electrostatic Density\")\n", + "\n", + " plt.contour(x_grid,y_grid,scalarFuncPlot, levels )\n", + "\n", " plt.show()" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 95, + "execution_count": 78, "metadata": {}, "outputs": [ { @@ -700,26 +673,20 @@ " ...\n", " [-3.23166990e-01 8.40867332e+00 -1.66595694e-04]\n", " [-1.08142311e-01 8.61787272e+00 -1.60552091e-04]\n", - " [ 1.06882368e-01 8.82707212e+00 -1.54508488e-04]]\n", - "(1764, 2)\n", - "(1764,)\n", - "1764\n", - "scalar\n", - "[[2.17212008e-04 3.59387779e-04 5.82559952e-04 ... 6.25544026e-06\n", - " 4.63270562e-06 3.42546710e-06]]\n" + " [ 1.06882368e-01 8.82707212e+00 -1.54508488e-04]]\n" ] }, { - "ename": "TypeError", - "evalue": "'tuple' object is not callable", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplotScalarFunctionContourPlot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcoord1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcoord2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcoord3\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mstep_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0.3\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m\u001b[0m in \u001b[0;36mplotScalarFunctionContourPlot\u001b[0;34m(coord1, coord2, coord3, step_size)\u001b[0m\n\u001b[1;32m 68\u001b[0m \u001b[0;31m#scalarFuncPlotRefine = scalarFuncPlotRefine.reshape((lenScalarFuncPlot),lenScalarFuncPlot))\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 69\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 70\u001b[0;31m \u001b[0;32mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mscalarFuncPlotRefine\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 71\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 72\u001b[0m \u001b[0;31m#levels = np.array([0.001 * n * n for n in range(1)])\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mTypeError\u001b[0m: 'tuple' object is not callable" - ] + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ @@ -728,24 +695,10 @@ }, { "cell_type": "code", - "execution_count": 89, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "ename": "NameError", - "evalue": "name 'grid_plane' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mgradient\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmol\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcompute_gradient\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgrid_plane\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0;32mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgradient\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mscalarFunc\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mNameError\u001b[0m: name 'grid_plane' is not defined" - ] - } - ], + "outputs": [], "source": [ - "gradient = mol.compute_gradient(grid_plane)\n", - "print(gradient)\n", "print(scalarFunc)" ] }, From 76e411d3eb13dfba29b2196fb5435a374d246729 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 20 Aug 2021 12:16:38 -0400 Subject: [PATCH 065/126] finalized, consolidated into functions --- .../annotate_3D/3DimensionAnnotation.ipynb | 132 ++++++++++++++- examples/annotate_3D/3DimensionAnnotation.py | 153 ++++++++++-------- 2 files changed, 217 insertions(+), 68 deletions(-) diff --git a/examples/annotate_3D/3DimensionAnnotation.ipynb b/examples/annotate_3D/3DimensionAnnotation.ipynb index b70d13d2..67417c60 100644 --- a/examples/annotate_3D/3DimensionAnnotation.ipynb +++ b/examples/annotate_3D/3DimensionAnnotation.ipynb @@ -150,11 +150,141 @@ "To visualize our file:\n", "\n", "1. Open ChimeraX\n", - "2. Either enter into the ChimeraX Command Line `open outFileName` or use File > Open from the uppermost toolbar \n", + "2. Either enter into the ChimeraX Command Line `open outFile.pdb` or use File > Open from the uppermost toolbar \n", "3. Once the PDB has been loaded, run from ChimeraX Command Line `label #1 atoms attribute bfactor` or use Actions > Label > Atoms > Other > Bfactor, from the afforementioned toolbar \n", "\n", "The below example is 2,6-Dichloropyridine, annotated with the Electrostatic Potential Charges obtained using IOData's `atcharge` function" ] + }, + { + "cell_type": "markdown", + "id": "35dc311a", + "metadata": {}, + "source": [ + "## Consolidating 3D Annotations into a Function 3DAnnotate():\n", + "The afforementioned means to annotating 3D molecules has been consolidated into a script for ease of use and modularity\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "ab2441fb", + "metadata": {}, + "outputs": [], + "source": [ + "def Annotate3D(inFile):\n", + " \"\"\"\n", + " This script allows one to take an input file, \n", + " \n", + " TO VIEW ANNOTATIONS IN CHIMERAX \n", + " DOWNLOAD CHIMERAX \n", + " Nightly and Stable Releases of ChimeraX can be found below, courtesy of University of California San Francisco\n", + " \n", + " https://www.cgl.ucsf.edu/chimerax/download.html\n", + " \n", + " VISUALIZE ANNOTATIONS\n", + " 1. Open ChimeraX\n", + " 2. Either enter into the ChimeraX Command Line open outFile.pdb or use File > Open from the uppermost toolbar \n", + " 3. Once the PDB has been loaded, run from ChimeraX Command Line label #1 atoms attribute bfactor or use Actions > Label > Atoms > Other > Bfactor, from the afforementioned toolbar \n", + " \n", + " END VIEWING INSTRUCTIONS\n", + " \n", + " PARAMETERS\n", + " inFile, str\n", + " This represents the input file, which should be a Gaussian CheckPoint File, also known as *.fchk\n", + " \n", + " interFile, str\n", + " This is the intermediate PDB File in which B Factor Values are written into, it is named 'intermediate.pdb'\n", + " \n", + " outFile, str\n", + " This is the final PDB File in which our B Factor Values are written into, originating from interFile\n", + " This is the file we open in ChimeraX\n", + " \n", + " title, str\n", + " Title of the molecule\n", + " \n", + " workingBFactor, IOData call\n", + " This represents the data we wish to write to PDB B Factor Column and annotate.\n", + " While this example uses the IOData Call atcharges['esp'][:] to input electrostatic potential charges, it can be other values\n", + " IOData calls can be found here:\n", + " \n", + " https://iodata.readthedocs.io/en/latest/index.html\n", + " \n", + " END PARAMETERS \n", + " \"\"\"\n", + " \n", + " # DEPENDENCIES\n", + " import iodata\n", + " from iodata import load_one, dump_one \n", + " # END DEPENDENCIES\n", + " \n", + " inFile = 'dichloropyridine26_q+0.fchk'\n", + " interFile = 'intermediate.pdb'\n", + " outFile = f\"{inFile[:-5]}.pdb\" \n", + " title = inFile[:-5]\n", + "\n", + " print(\"Filenames: \")\n", + " print(inFile)\n", + " print(interFile)\n", + " print(outFile)\n", + " print(\" \")\n", + " print(\"Name of Molecule:\")\n", + " print(title)\n", + " print(\" \")\n", + "\n", + " loadInput = load_one(inFile)\n", + " \n", + " # EDIT workingBFactor TO CHANGE ANNOTATION VALUES\n", + " workingBFactor = loadInput.atcharges['esp'][:] \n", + " \n", + " \n", + " print(\"Our Working B Factor to replace within IOData Dump : \")\n", + " print(workingBFactor)\n", + " print(f\"\\nWill be written to {outFile} and dumped\")\n", + " dump_one(loadInput,interFile)\n", + " \n", + " # END FUNCTION " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "ea486fba", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Filenames: \n", + "dichloropyridine26_q+0.fchk\n", + "intermediate.pdb\n", + "dichloropyridine26_q+0.pdb\n", + " \n", + "Name of Molecule:\n", + "dichloropyridine26_q+0\n", + " \n", + "Our Working B Factor to replace within IOData Dump : \n", + "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", + " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", + "\n", + "Will be written to dichloropyridine26_q+0.pdb and dumped\n" + ] + } + ], + "source": [ + "inFile = 'dichloropyridine26_q+0.fchk'\n", + "Annotate3D(inFile)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ceeb57a0", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/examples/annotate_3D/3DimensionAnnotation.py b/examples/annotate_3D/3DimensionAnnotation.py index d40442b9..81ce51a4 100644 --- a/examples/annotate_3D/3DimensionAnnotation.py +++ b/examples/annotate_3D/3DimensionAnnotation.py @@ -1,69 +1,88 @@ -#!/usr/bin/env python -# coding: utf-8 - -# In[15]: - - -import pandas as pd -import numpy as np - -import iodata -from iodata import load_one, dump_one - -from biopandas.pdb import PandasPdb -import io -from typing import TextIO, Iterator - - -# In[23]: - - -inFile = 'dichloropyridine26_q+0.fchk' -interFile = 'intermediate.pdb' -outFile = f"{inFile[:-5]}.pdb" -title = inFile[:-5] - -print("Filenames: ") -print(inFile) -print(interFile) -print(outFile) -print(" ") -print("Name of Molecule:") -print(title) -print(" ") - -loadInput = load_one(inFile) - - -workingBFactor = loadInput.atcharges['esp'][:] -print("Our Working B Factor to replace within IOData Dump : ") -print(workingBFactor) -print(f"\nWill be written to {outFile} and dumped") - - -# In[27]: - - - -workingBfactor = np.array(loadInput.atcharges['esp'][:]) -print(workingBfactor) -test = load_one('intermediate.pdb') - -for i,item in enumerate(test.extra['bfactors']): -test.extra['bfactors'][i] = workingBfactor[i] -print(" ") -print(f"Written {test.extra['bfactors'][:]} to {outFile}") -dump_one(test,'test22.pdb') - - -# In[ ]: - - - - - -# In[ ]: - - +def Annotate3D(inFile): + """ + This script allows one to take an input file, and output a pdb file with a B Factors column filled with desired data values. + This pdb can then be visualized using ChimeraX + + CONDA ENVIRONMENT + + This function will only work within a Anaconda Environment that contains qc-iodata, which can be found here + + https://iodata.readthedocs.io/en/latest/install.html + + TO VIEW ANNOTATIONS IN CHIMERAX + DOWNLOAD CHIMERAX + Nightly and Stable Releases of ChimeraX can be found below, courtesy of University of California San Francisco + + https://www.cgl.ucsf.edu/chimerax/download.html + + VISUALIZE ANNOTATIONS + 1. Open ChimeraX + 2. Either enter into the ChimeraX Command Line open outFile.pdb or use File > Open from the uppermost toolbar + 3. Once the PDB has been loaded, run from ChimeraX Command Line label #1 atoms attribute bfactor or use Actions > Label > Atoms > Other > Bfactor, from the afforementioned toolbar + + END VIEWING INSTRUCTIONS + + PARAMETERS + inFile, str + This represents the input file, which should be a Gaussian CheckPoint File, also known as *.fchk + + interFile, str + This is the intermediate PDB File in which B Factor Values are written into, it is named 'intermediate.pdb' + + outFile, str + This is the final PDB File in which our B Factor Values are written into, originating from interFile + This is the file we open in ChimeraX + + title, str + Title of the molecule + + workingBFactor, IOData call + This represents the data we wish to write to PDB B Factor Column and annotate. + While this example uses the IOData Call atcharges['esp'][:] to input electrostatic potential charges, it can be other values + IOData calls can be found here: + + https://iodata.readthedocs.io/en/latest/index.html + + END PARAMETERS + """ + + # DEPENDENCIES + import iodata + from iodata import load_one, dump_one + # END DEPENDENCIES + + inFile = 'dichloropyridine26_q+0.fchk' + interFile = 'intermediate.pdb' + outFile = f"{inFile[:-5]}.pdb" + title = inFile[:-5] + + print("Filenames: ") + print(inFile) + print(interFile) + print(outFile) + print(" ") + print("Name of Molecule:") + print(title) + print(" ") + + loadInput = load_one(inFile) + + # EDIT workingBFactor TO CHANGE ANNOTATION VALUES + workingBFactor = loadInput.atcharges['esp'][:] + + + print("Our Working B Factor to replace within IOData Dump : ") + print(workingBFactor) + print(f"\nWill be written to {outFile} and dumped") + dump_one(loadInput,interFile) + + # END FUNCTION + + + +# EXAMPLE OF Annotate3D(inFile using 2,6-Dichloropyridinedef Annotate3D(inFile): +inFile = 'dichloropyridine26_q+0.fchk' + +Annotate3D(inFile) From b4d72cbfc7fb2a5b8ee842aa81e05c9f8c39655c Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 20 Aug 2021 12:27:13 -0400 Subject: [PATCH 066/126] main page --- README.md | 339 ++++++++++++++++++++++++++++++++++++++----------- README.md.bkup | 94 ++++++++++++++ 2 files changed, 360 insertions(+), 73 deletions(-) create mode 100644 README.md.bkup diff --git a/README.md b/README.md index 71aa6512..e6235d59 100644 --- a/README.md +++ b/README.md @@ -1,94 +1,287 @@ -ChemTools -========= +\maketitle +\vspace{1cm} +This report has been prepared for Google Summer of Code 2021, under the +advisory of Dr.Paul Ayers, Dr. Farnaz Heidar-Zadeh, Dr. Esteban +Vohringer-Martinez\ -[![Python](https://img.shields.io/badge/python-2.7-blue.svg)](https://docs.python.org/2.7/) -[![codecov](https://codecov.io/gh/QuantumElephant/chemtools/branch/master/graph/badge.svg?token=s2f4Ilawut)](https://codecov.io/gh/QuantumElephant/chemtools) -[![Build Status](https://travis-ci.com/QuantumElephant/chemtools.svg?token=wtCKs521Yw1urAV4F5DM&branch=master)](https://travis-ci.com/QuantumElephant/chemtools) -[![License: GPL v3](https://img.shields.io/badge/License-GPL%20v3-blue.svg)](https://github.com/QuantumElephant/chemtools/blob/master/LICENSE) +![image](openchem.png){width="4cm"} +\vspace{2cm} +**Abstract**\ +OpenChem wishes to implement a means of visualizing Chemtools data. Such +means include exploring viable alternatives to Visualizing Molecular +Dynamics as a visualization platfrom. Further visualization goals +include the plotting of gradient vector fields and annotation of +molecules. Additionally, ChimeraX, developed by the University of +California, San Francisco, was chosen as a general purpose alternative +for VMD, with regards to visualizing isosurfaces as well as molecular +annotations. -About ------ +Introduction +============ - ChemTools is a free and open source Python library for interpreting the results of quantum -chemistry calculations. The goal of ChemTools is to provide a toolbox by which the -quantitative output of electronic structure theory calculations can be expressed in chemical -language. ChemTools provides easy-to-use core functionality to compute fundamental descriptors -of conceptual quantum chemistry, together with a flexible set of utilities allowing scientists -to easily test their own discoveries. +Visualization is important to make sense of computational chemistry +data. Visualization methods relevant to OpenChem include the +visualization of isosurfaces resulting from electrostatic potential +calculations, the annotations of molecules, as well as plotting the +physical and chemical qualities of specific molecules. In order to +accomplish this, the gap between the computational tools and currently +existing visualization tools must be bridged. -Website: https://chemtools.org +Project +======= +Visualizing Electrostatic Potential Isosurfaces in ChimeraX +----------------------------------------------------------- -License -------- +We wish to examine alternatives to Visualizing Molecular Dynamics (VMD) +to visualize isosurfaces of molecules computed by Chemtools. Examples of +VMD Alternatives include Avogadro/Avogadro2, ChimeraX, IQMol, +JMol/JSMol, and PyMOL. -ChemTools is distributed under GPL License version 3 (GPLv3) +3D Annotation of Molecules Using IOData Output +---------------------------------------------- -Dependencies ------------- +We wish to devise a means of taking IOData output, such as electrostatic +potential charges, and applying these values as text annotations in a +molecule rendered in a three dimensional environment. -The following dependencies will be necessary for ChemTools to build properly, +2D Annotation of Molecules Using IOData Output +---------------------------------------------- -* Python >= 2.7, < 3.0: http://www.python.org/ (Also install development files.) -* PIP >= 7.0: https://pip.pypa.io/ (Not required in some scenarios but never bad to have.) -* SciPy >= 0.11.0: http://www.scipy.org/ -* NumPy >= 1.16.0: http://www.numpy.org/ -* SymPy >= 0.7.1: http://code.google.com/p/sympy/ -* Matplotlib >= 1.0: http://matplotlib.org/ -* Nosetests >= 1.1.2: http://readthedocs.org/docs/nose/en/latest/ -* HORTON >= 2.0.1: http://theochem.github.io/horton/2.0.1/index.html -* LFS >= 2.0.1: https://git-lfs.github.com/ +' We wish to implement a means of not only visualizing a given molecule +originating from a Gaussian Checkpoint file (fchk), but also annotating +a 2-dimensional representation of this molecule using data from IOData. -Installation ------------- +Gradient Vector Fields and Scalar Contour Plots +----------------------------------------------- -To install HORTON and Git-LFS with conda: -```bash -conda install -c theochem horton=2.1.0 -conda install -c conda-forge git-lfs -``` +We wish to develop a means of visualizing the computation of both scalar +and vector qualities of molecules. -To install chemtools: -```bash -pip install -e . -``` +Molecular Graphs +---------------- -Check our website for more detailed -installation guide +We wish to implement a means of visualizing the bond and ring critical +points of a given molecule. -Testing -------- +Results +======= -To run tests: +Visualizing Electrostatic Potential Isosurfaces +----------------------------------------------- -```bash -nosetests -v chemtools -``` +A script, consolidated as function `print_chimerax_isosurfaces`, has +been written, and accomplishes the following actions within the ChimeraX +Environment: -Development ------------ -New contributors of all programming levels are welcome to join us. You can follow -our developer guidelines for detailed information about contributing code, building -documentation and quality assurance. +- Open our surfaces file, generically named `*_rho.cube` -Reference ---------- -In anticipation of the first announcement of ChemTools in a scientific journal, please reference ChemTools as follows: -* F. Heidar-Zadeh, M. Richer, S. Fias, R.A. Miranda-Quintana, M. Chan, -M. Franco-Perez, C. E. Gonzalez-Espinoza, T.D. Kim, C. Lanssens, -A.H.G. Patel, X.D. Yang, E. Vohringer-Martinez, C. Cardenas, T. Verstraelen, -and P. W. Ayers. An explicit approach to conceptual density functional theory -descriptors of arbitrary order. Chem. Phys. Lett., 660:307–312, 2016. -doi:10.1016/j.cplett.2016.07.039. +- Open our map file, which allows us to color the surfaces, + generically named `*_esp.cube` -Acknowledgements ----------------- -This software was developed using funding from a variety of international -sources including, but not limited to: Canarie, the Canada Research Chairs, -Compute Canada, the European Union's Horizon 2020 Marie Sklodowska-Curie Actions -(Individual Fellowship No 800130), the Foundation of Scientific -Research--Flanders (FWO), McMaster University, the National Fund for Scientific -and Technological Development of Chile (FONDECYT), the Natural Sciences and -Engineering Research Council of Canada (NSERC), the Research Board of Ghent -University (BOF), and Sharcnet. +- Set to isosurface levels to visualize + +- Set the lighting, shadows, surface material appearance (ie dull or + shiny), and representation (ie sufraces or meshes) + +- Set a color palette, both custom or built into ChimeraX + +- Set the minimum `scalemin` and maximum `scalemax` value range for + colorizng the surfaces, or allow ChimeraX to determine the most + suitable range using the string `'compute'` for both the `scalemin` + and `scalemax` parameters within the script + +3D Annotation of Molecules +-------------------------- + +IOData can output to Protein Data Bank (PDB) files, a text file that +enumerates monomer and a atomic data, such as element, XYZ cartesian +coordinates, and B Factor, which has historically been used to quantify +flexibility and freedom of motion in computational protein-ligand +docking. Originally, ChimeraX's Attribute Files, which allow a tab +separated table enumerating characteristics per unit, was conceived as a +means of annotating molecules as it was not considered to be a \"hack\" +and could allow multiple different annotations could be performed +without overwriting our PDB. However, this was abandoned due to the +complexity of assigning IOData values to an format ChimeraX finds +accessible.\ +IOData possesses a feature known as `extra`, which allows writing in B +Factors when an intermediate PDB file is opened using IOData function +`load_one`, which can then be written to a finalized PDB file to be +loaded into ChimeraX. Once loaded, ChimeraX can visualize the B Factor +using its labeling utilities. + +![3D Annotation of 2,6-Dichloropyridine With Electrostatic Potential +Charges](3dannotate.png){width="3in"} + +2D Annotation of Molecules +-------------------------- + +IOData is used to dump an XYZ and PDB files from the original Gaussian +Checkpoint (fchk) file. XYZ files are capable of being converted to +accurate SMILES strings via the Chemml utilities, however, the order of +the atoms being enumerated differs from that of IOData, making it +non-trivial to assign charges resulting from IOData's `atcharges` call. +On the other hand, PDB Files maintain the atomic order as IOData, +however, RDKit cannot visualize any pi bonds from the PDB. This is due +to the fact that PDB Files store pi bond data based on the distance +between atoms in cartesian space, whereas RDKit prefers bonds to be +explicitly detailed. + +To address both issues, we can first correct the geometry of the PDB by +using RDKit's `Compute2DCoords` and then force the PDB to assume the +visualization stile of the afforementioned SMILES string using +`AssignBondOrdersFromTemplate`. Afterwards, the charges from IOData can +be assigned iteratively. + +![2D Annotation of 2,6-Dichloropyridine, Using Electrostatic Potential +Charges](test11.png){width="3in"} + +Plotting +-------- + +### Gradient Vector Fields + +A Jupyter Notebook and function `plotVectorFieldOverPlane` were made +that is capable of plotting gradient vector fields. This was performed +by: + +- Using 3D rotation matrix function `_rotate_3d()` to rotate an affine + plane and normalize to plot gradients against + +- Assigning our `vectorFunc` as as the vector quality we want to + explore, in this case `mol.compute_gradient()` + +- Projecting our vector quality against the rotated affine plane + +- Visualizing the vector quality as a gradient vector field \"Quiver + Plot\" + +![Gradient Vector Field of Electron Density, +2,6-Dichloropyridine](dichlorgradient.png){width="4in"} + +To rotate a scalar quality, in this case electron density, we want to + +- Rotate an affine plane and normalize to plot gradients against using + the 2D rotate and scale operation, using the helper function + `_rotate_2d()` + +- Assign our `scalarFunc` which is a scalar quality of a molecule, in + this case, electrostatic density + +- Visualizing the scalar quality as a contour plot, with our + `scalarFunc` representing the level curves + +![Contour Plot of Electrostatic Densities, +2,6-Dichloropyridine](contour.png){width="4in"} + +Post Mortem +=========== + +IOData Errors in 2D Annotations +------------------------------- + +When working with other molecules, such as Acrolein, IOData will throw +the following error + + Exception ignored in: + Traceback (most recent call last): + File "/home/woodn/.conda/envs/chemml_env/lib/python3.7/site-packages/iodata/utils.py", line 80, in __del__ + self.f.close() + AttributeError: 'LineIterator' object has no attribute 'f' + + +Despite this error, IOData still dumps the necessary XYZ and PDB Files, +and the RDKit visualization is complete. + +![Acrolein, Annotated Using IOData Derived Electrostatic Potential +Charges](acroleinerror.png){width="3in"} + +Discrepancies between ChimeraX and VMD +-------------------------------------- + +### Isosurface Levels + +There is a discrepancy between appropriate values to display isosurface +levels between both ChimeraX and VMD. For the example +2,6-dichloropyridine, the previous VMD example recommends setting +`isoSurf` to .003, however, in ChimeraX, this will produce a noticeable +uncolored void that can be corrected when setting `isoSurf` to .005. + +![Example of Volume discrepancy, .003 (left) and .005 (right) in +ChimeraX Rainbow Palette](vmdfail.png "fig:"){width="2in"} ![Example of +Volume discrepancy, .003 (left) and .005 (right) in ChimeraX Rainbow +Palette](vmdcorrect.png "fig:"){width="1.925in"} + +Moving Forward +============== + +Administrative and Documentation +-------------------------------- + +### Cleanup + +There is a need to cleanup old files, commented out or redundant code +portions, and intermediate files. + +### Consolidation + +Code should be consolidated into functions for ease of use and +modularity. + +### Correspondence and Accountability + +Future GSOC internships should make further use of correspondence +methods such as Email, Github threads, Slack, and Zoom. + +Conversion of IOData Data into Chemical JSON +-------------------------------------------- + +In order to improve interoperability with Avogadro2, it will be +necessary to be able to output IOData and Chemtools data into a +\"Chemical JSON\" a form of JSON file that outlines chemical information +such as bonds, atoms, as well as charge and molecular/atomic orbital +data. While the formatting of basic data such as bonds and atoms is +nontrivial, considerable work will have to be done to correctly format +quantum chemistry data. + +Extended ChimeraX Functionality +------------------------------- + +ChimeraX is a versatile tool capable of being controlled via python +scripting with different levels of granularity. ChimeraX Documentation +can be read from the program itself, or from the developer's website. It +is worthwhile to explore the ability of ChimeraX + +Molecular Graphs of Bond Critical Points +---------------------------------------- + +Special Thanks +============== + +I would like to extend great thanks to the following individuals for +assisting and granting me flexibility: + +- Farnaz Heidar Zadeh, Professor Queens University + +- Paul Ayers, Professor University of Toronto + +- Esteban Vohringer Martinez, Professor Universidad de Concepciòn + +- Victor Canogil + +- Toon Vestralen + +- Geoff Hutchinson, Avogadro2 Lead + +- Ali Tehrani + +- Elaine Meng, PhD, ChimeraX Development Team, University of + California San Francisco + +- Anthony Schaefer, PhD, ChimeraX Development Team, University of + California San Francisco + +Appendix A: Github Fork +======================= diff --git a/README.md.bkup b/README.md.bkup new file mode 100644 index 00000000..71aa6512 --- /dev/null +++ b/README.md.bkup @@ -0,0 +1,94 @@ +ChemTools +========= + +[![Python](https://img.shields.io/badge/python-2.7-blue.svg)](https://docs.python.org/2.7/) +[![codecov](https://codecov.io/gh/QuantumElephant/chemtools/branch/master/graph/badge.svg?token=s2f4Ilawut)](https://codecov.io/gh/QuantumElephant/chemtools) +[![Build Status](https://travis-ci.com/QuantumElephant/chemtools.svg?token=wtCKs521Yw1urAV4F5DM&branch=master)](https://travis-ci.com/QuantumElephant/chemtools) +[![License: GPL v3](https://img.shields.io/badge/License-GPL%20v3-blue.svg)](https://github.com/QuantumElephant/chemtools/blob/master/LICENSE) + + +About +----- + + ChemTools is a free and open source Python library for interpreting the results of quantum +chemistry calculations. The goal of ChemTools is to provide a toolbox by which the +quantitative output of electronic structure theory calculations can be expressed in chemical +language. ChemTools provides easy-to-use core functionality to compute fundamental descriptors +of conceptual quantum chemistry, together with a flexible set of utilities allowing scientists +to easily test their own discoveries. + +Website: https://chemtools.org + + +License +------- + +ChemTools is distributed under GPL License version 3 (GPLv3) + +Dependencies +------------ + +The following dependencies will be necessary for ChemTools to build properly, + +* Python >= 2.7, < 3.0: http://www.python.org/ (Also install development files.) +* PIP >= 7.0: https://pip.pypa.io/ (Not required in some scenarios but never bad to have.) +* SciPy >= 0.11.0: http://www.scipy.org/ +* NumPy >= 1.16.0: http://www.numpy.org/ +* SymPy >= 0.7.1: http://code.google.com/p/sympy/ +* Matplotlib >= 1.0: http://matplotlib.org/ +* Nosetests >= 1.1.2: http://readthedocs.org/docs/nose/en/latest/ +* HORTON >= 2.0.1: http://theochem.github.io/horton/2.0.1/index.html +* LFS >= 2.0.1: https://git-lfs.github.com/ + +Installation +------------ + +To install HORTON and Git-LFS with conda: +```bash +conda install -c theochem horton=2.1.0 +conda install -c conda-forge git-lfs +``` + +To install chemtools: +```bash +pip install -e . +``` + +Check our website for more detailed +installation guide + +Testing +------- + +To run tests: + +```bash +nosetests -v chemtools +``` + +Development +----------- +New contributors of all programming levels are welcome to join us. You can follow +our developer guidelines for detailed information about contributing code, building +documentation and quality assurance. + +Reference +--------- +In anticipation of the first announcement of ChemTools in a scientific journal, please reference ChemTools as follows: +* F. Heidar-Zadeh, M. Richer, S. Fias, R.A. Miranda-Quintana, M. Chan, +M. Franco-Perez, C. E. Gonzalez-Espinoza, T.D. Kim, C. Lanssens, +A.H.G. Patel, X.D. Yang, E. Vohringer-Martinez, C. Cardenas, T. Verstraelen, +and P. W. Ayers. An explicit approach to conceptual density functional theory +descriptors of arbitrary order. Chem. Phys. Lett., 660:307–312, 2016. +doi:10.1016/j.cplett.2016.07.039. + +Acknowledgements +---------------- +This software was developed using funding from a variety of international +sources including, but not limited to: Canarie, the Canada Research Chairs, +Compute Canada, the European Union's Horizon 2020 Marie Sklodowska-Curie Actions +(Individual Fellowship No 800130), the Foundation of Scientific +Research--Flanders (FWO), McMaster University, the National Fund for Scientific +and Technological Development of Chile (FONDECYT), the Natural Sciences and +Engineering Research Council of Canada (NSERC), the Research Board of Ghent +University (BOF), and Sharcnet. From d5df616a930fc513471ac359da34c376afe62947 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 20 Aug 2021 12:28:12 -0400 Subject: [PATCH 067/126] revert readme --- README.md | 339 ++++++++++++------------------------------------------ 1 file changed, 73 insertions(+), 266 deletions(-) diff --git a/README.md b/README.md index e6235d59..71aa6512 100644 --- a/README.md +++ b/README.md @@ -1,287 +1,94 @@ -\maketitle -\vspace{1cm} -This report has been prepared for Google Summer of Code 2021, under the -advisory of Dr.Paul Ayers, Dr. Farnaz Heidar-Zadeh, Dr. Esteban -Vohringer-Martinez\ +ChemTools +========= -![image](openchem.png){width="4cm"} +[![Python](https://img.shields.io/badge/python-2.7-blue.svg)](https://docs.python.org/2.7/) +[![codecov](https://codecov.io/gh/QuantumElephant/chemtools/branch/master/graph/badge.svg?token=s2f4Ilawut)](https://codecov.io/gh/QuantumElephant/chemtools) +[![Build Status](https://travis-ci.com/QuantumElephant/chemtools.svg?token=wtCKs521Yw1urAV4F5DM&branch=master)](https://travis-ci.com/QuantumElephant/chemtools) +[![License: GPL v3](https://img.shields.io/badge/License-GPL%20v3-blue.svg)](https://github.com/QuantumElephant/chemtools/blob/master/LICENSE) -\vspace{2cm} -**Abstract**\ -OpenChem wishes to implement a means of visualizing Chemtools data. Such -means include exploring viable alternatives to Visualizing Molecular -Dynamics as a visualization platfrom. Further visualization goals -include the plotting of gradient vector fields and annotation of -molecules. Additionally, ChimeraX, developed by the University of -California, San Francisco, was chosen as a general purpose alternative -for VMD, with regards to visualizing isosurfaces as well as molecular -annotations. -Introduction -============ +About +----- -Visualization is important to make sense of computational chemistry -data. Visualization methods relevant to OpenChem include the -visualization of isosurfaces resulting from electrostatic potential -calculations, the annotations of molecules, as well as plotting the -physical and chemical qualities of specific molecules. In order to -accomplish this, the gap between the computational tools and currently -existing visualization tools must be bridged. + ChemTools is a free and open source Python library for interpreting the results of quantum +chemistry calculations. The goal of ChemTools is to provide a toolbox by which the +quantitative output of electronic structure theory calculations can be expressed in chemical +language. ChemTools provides easy-to-use core functionality to compute fundamental descriptors +of conceptual quantum chemistry, together with a flexible set of utilities allowing scientists +to easily test their own discoveries. -Project -======= +Website: https://chemtools.org -Visualizing Electrostatic Potential Isosurfaces in ChimeraX ------------------------------------------------------------ -We wish to examine alternatives to Visualizing Molecular Dynamics (VMD) -to visualize isosurfaces of molecules computed by Chemtools. Examples of -VMD Alternatives include Avogadro/Avogadro2, ChimeraX, IQMol, -JMol/JSMol, and PyMOL. +License +------- -3D Annotation of Molecules Using IOData Output ----------------------------------------------- +ChemTools is distributed under GPL License version 3 (GPLv3) -We wish to devise a means of taking IOData output, such as electrostatic -potential charges, and applying these values as text annotations in a -molecule rendered in a three dimensional environment. +Dependencies +------------ -2D Annotation of Molecules Using IOData Output ----------------------------------------------- +The following dependencies will be necessary for ChemTools to build properly, -' We wish to implement a means of not only visualizing a given molecule -originating from a Gaussian Checkpoint file (fchk), but also annotating -a 2-dimensional representation of this molecule using data from IOData. +* Python >= 2.7, < 3.0: http://www.python.org/ (Also install development files.) +* PIP >= 7.0: https://pip.pypa.io/ (Not required in some scenarios but never bad to have.) +* SciPy >= 0.11.0: http://www.scipy.org/ +* NumPy >= 1.16.0: http://www.numpy.org/ +* SymPy >= 0.7.1: http://code.google.com/p/sympy/ +* Matplotlib >= 1.0: http://matplotlib.org/ +* Nosetests >= 1.1.2: http://readthedocs.org/docs/nose/en/latest/ +* HORTON >= 2.0.1: http://theochem.github.io/horton/2.0.1/index.html +* LFS >= 2.0.1: https://git-lfs.github.com/ -Gradient Vector Fields and Scalar Contour Plots ------------------------------------------------ +Installation +------------ -We wish to develop a means of visualizing the computation of both scalar -and vector qualities of molecules. +To install HORTON and Git-LFS with conda: +```bash +conda install -c theochem horton=2.1.0 +conda install -c conda-forge git-lfs +``` -Molecular Graphs ----------------- - -We wish to implement a means of visualizing the bond and ring critical -points of a given molecule. - -Results -======= - -Visualizing Electrostatic Potential Isosurfaces ------------------------------------------------ - -A script, consolidated as function `print_chimerax_isosurfaces`, has -been written, and accomplishes the following actions within the ChimeraX -Environment: - -- Open our surfaces file, generically named `*_rho.cube` - -- Open our map file, which allows us to color the surfaces, - generically named `*_esp.cube` - -- Set to isosurface levels to visualize - -- Set the lighting, shadows, surface material appearance (ie dull or - shiny), and representation (ie sufraces or meshes) - -- Set a color palette, both custom or built into ChimeraX - -- Set the minimum `scalemin` and maximum `scalemax` value range for - colorizng the surfaces, or allow ChimeraX to determine the most - suitable range using the string `'compute'` for both the `scalemin` - and `scalemax` parameters within the script - -3D Annotation of Molecules --------------------------- - -IOData can output to Protein Data Bank (PDB) files, a text file that -enumerates monomer and a atomic data, such as element, XYZ cartesian -coordinates, and B Factor, which has historically been used to quantify -flexibility and freedom of motion in computational protein-ligand -docking. Originally, ChimeraX's Attribute Files, which allow a tab -separated table enumerating characteristics per unit, was conceived as a -means of annotating molecules as it was not considered to be a \"hack\" -and could allow multiple different annotations could be performed -without overwriting our PDB. However, this was abandoned due to the -complexity of assigning IOData values to an format ChimeraX finds -accessible.\ -IOData possesses a feature known as `extra`, which allows writing in B -Factors when an intermediate PDB file is opened using IOData function -`load_one`, which can then be written to a finalized PDB file to be -loaded into ChimeraX. Once loaded, ChimeraX can visualize the B Factor -using its labeling utilities. - -![3D Annotation of 2,6-Dichloropyridine With Electrostatic Potential -Charges](3dannotate.png){width="3in"} - -2D Annotation of Molecules --------------------------- - -IOData is used to dump an XYZ and PDB files from the original Gaussian -Checkpoint (fchk) file. XYZ files are capable of being converted to -accurate SMILES strings via the Chemml utilities, however, the order of -the atoms being enumerated differs from that of IOData, making it -non-trivial to assign charges resulting from IOData's `atcharges` call. -On the other hand, PDB Files maintain the atomic order as IOData, -however, RDKit cannot visualize any pi bonds from the PDB. This is due -to the fact that PDB Files store pi bond data based on the distance -between atoms in cartesian space, whereas RDKit prefers bonds to be -explicitly detailed. - -To address both issues, we can first correct the geometry of the PDB by -using RDKit's `Compute2DCoords` and then force the PDB to assume the -visualization stile of the afforementioned SMILES string using -`AssignBondOrdersFromTemplate`. Afterwards, the charges from IOData can -be assigned iteratively. - -![2D Annotation of 2,6-Dichloropyridine, Using Electrostatic Potential -Charges](test11.png){width="3in"} - -Plotting --------- - -### Gradient Vector Fields - -A Jupyter Notebook and function `plotVectorFieldOverPlane` were made -that is capable of plotting gradient vector fields. This was performed -by: - -- Using 3D rotation matrix function `_rotate_3d()` to rotate an affine - plane and normalize to plot gradients against - -- Assigning our `vectorFunc` as as the vector quality we want to - explore, in this case `mol.compute_gradient()` - -- Projecting our vector quality against the rotated affine plane - -- Visualizing the vector quality as a gradient vector field \"Quiver - Plot\" - -![Gradient Vector Field of Electron Density, -2,6-Dichloropyridine](dichlorgradient.png){width="4in"} - -To rotate a scalar quality, in this case electron density, we want to - -- Rotate an affine plane and normalize to plot gradients against using - the 2D rotate and scale operation, using the helper function - `_rotate_2d()` - -- Assign our `scalarFunc` which is a scalar quality of a molecule, in - this case, electrostatic density - -- Visualizing the scalar quality as a contour plot, with our - `scalarFunc` representing the level curves +To install chemtools: +```bash +pip install -e . +``` -![Contour Plot of Electrostatic Densities, -2,6-Dichloropyridine](contour.png){width="4in"} +Check our website for more detailed +installation guide -Post Mortem -=========== +Testing +------- -IOData Errors in 2D Annotations -------------------------------- +To run tests: -When working with other molecules, such as Acrolein, IOData will throw -the following error +```bash +nosetests -v chemtools +``` - Exception ignored in: - Traceback (most recent call last): - File "/home/woodn/.conda/envs/chemml_env/lib/python3.7/site-packages/iodata/utils.py", line 80, in __del__ - self.f.close() - AttributeError: 'LineIterator' object has no attribute 'f' - +Development +----------- +New contributors of all programming levels are welcome to join us. You can follow +our developer guidelines for detailed information about contributing code, building +documentation and quality assurance. -Despite this error, IOData still dumps the necessary XYZ and PDB Files, -and the RDKit visualization is complete. +Reference +--------- +In anticipation of the first announcement of ChemTools in a scientific journal, please reference ChemTools as follows: +* F. Heidar-Zadeh, M. Richer, S. Fias, R.A. Miranda-Quintana, M. Chan, +M. Franco-Perez, C. E. Gonzalez-Espinoza, T.D. Kim, C. Lanssens, +A.H.G. Patel, X.D. Yang, E. Vohringer-Martinez, C. Cardenas, T. Verstraelen, +and P. W. Ayers. An explicit approach to conceptual density functional theory +descriptors of arbitrary order. Chem. Phys. Lett., 660:307–312, 2016. +doi:10.1016/j.cplett.2016.07.039. -![Acrolein, Annotated Using IOData Derived Electrostatic Potential -Charges](acroleinerror.png){width="3in"} - -Discrepancies between ChimeraX and VMD --------------------------------------- - -### Isosurface Levels - -There is a discrepancy between appropriate values to display isosurface -levels between both ChimeraX and VMD. For the example -2,6-dichloropyridine, the previous VMD example recommends setting -`isoSurf` to .003, however, in ChimeraX, this will produce a noticeable -uncolored void that can be corrected when setting `isoSurf` to .005. - -![Example of Volume discrepancy, .003 (left) and .005 (right) in -ChimeraX Rainbow Palette](vmdfail.png "fig:"){width="2in"} ![Example of -Volume discrepancy, .003 (left) and .005 (right) in ChimeraX Rainbow -Palette](vmdcorrect.png "fig:"){width="1.925in"} - -Moving Forward -============== - -Administrative and Documentation --------------------------------- - -### Cleanup - -There is a need to cleanup old files, commented out or redundant code -portions, and intermediate files. - -### Consolidation - -Code should be consolidated into functions for ease of use and -modularity. - -### Correspondence and Accountability - -Future GSOC internships should make further use of correspondence -methods such as Email, Github threads, Slack, and Zoom. - -Conversion of IOData Data into Chemical JSON --------------------------------------------- - -In order to improve interoperability with Avogadro2, it will be -necessary to be able to output IOData and Chemtools data into a -\"Chemical JSON\" a form of JSON file that outlines chemical information -such as bonds, atoms, as well as charge and molecular/atomic orbital -data. While the formatting of basic data such as bonds and atoms is -nontrivial, considerable work will have to be done to correctly format -quantum chemistry data. - -Extended ChimeraX Functionality -------------------------------- - -ChimeraX is a versatile tool capable of being controlled via python -scripting with different levels of granularity. ChimeraX Documentation -can be read from the program itself, or from the developer's website. It -is worthwhile to explore the ability of ChimeraX - -Molecular Graphs of Bond Critical Points ----------------------------------------- - -Special Thanks -============== - -I would like to extend great thanks to the following individuals for -assisting and granting me flexibility: - -- Farnaz Heidar Zadeh, Professor Queens University - -- Paul Ayers, Professor University of Toronto - -- Esteban Vohringer Martinez, Professor Universidad de Concepciòn - -- Victor Canogil - -- Toon Vestralen - -- Geoff Hutchinson, Avogadro2 Lead - -- Ali Tehrani - -- Elaine Meng, PhD, ChimeraX Development Team, University of - California San Francisco - -- Anthony Schaefer, PhD, ChimeraX Development Team, University of - California San Francisco - -Appendix A: Github Fork -======================= +Acknowledgements +---------------- +This software was developed using funding from a variety of international +sources including, but not limited to: Canarie, the Canada Research Chairs, +Compute Canada, the European Union's Horizon 2020 Marie Sklodowska-Curie Actions +(Individual Fellowship No 800130), the Foundation of Scientific +Research--Flanders (FWO), McMaster University, the National Fund for Scientific +and Technological Development of Chile (FONDECYT), the Natural Sciences and +Engineering Research Council of Canada (NSERC), the Research Board of Ghent +University (BOF), and Sharcnet. From 158ac190ee42a1a5259ebf7042d19efe1bfadffa Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 20 Aug 2021 12:34:10 -0400 Subject: [PATCH 068/126] consolidated documentation within function --- examples/esp/chimerax_vis_esp.py | 169 ++++++++++++++----------------- 1 file changed, 75 insertions(+), 94 deletions(-) diff --git a/examples/esp/chimerax_vis_esp.py b/examples/esp/chimerax_vis_esp.py index f497e878..fc53e908 100644 --- a/examples/esp/chimerax_vis_esp.py +++ b/examples/esp/chimerax_vis_esp.py @@ -1,94 +1,78 @@ -from chimerax.core.commands import run -from chimerax.core import errors -from chimerax.map import Volume,VolumeSurface -from chimerax import io -""" -THIS SCRIPT IS DESIGNED TO TAKE GAUSSIAN CUBE FILES AND VISUALIZE THE FILES IN CHIMERAX - -TO EXECUTE SCRIPT RUN : - -chimerax - -ChimeraX can be found here, with stable and nightly releases : - -https://www.cgl.ucsf.edu/chimerax/download.html - - -PARAMETERS : - session, as is - ChimeraX uses this to recognize to run this within the same session - - outFile, str - name of output file - - outSuffix, str - Suffix of output file - Options: - XYZ - PDB - CXS (DEFAULT CHIMERAX SAVE STATE) - PNG - CUBE - - isoFile, str - Input file to create the volume isosurfaces, - Should have suffic *_esp.cube - - colorFile - Input file to use as a color map - should have suffix *_rho.cube - - isoSurf, float - This float instructs ChimeraX to display a certain isosurface level - - material, str - define the material for the surface volume rendering - OPTIONS: - shiny - dull - - lighting, str - define the lighting of the render window - OPTIONS: - simple - full - - shadows, str - Define if we want to include shadows in our render - OPTIONS - True - False - NOTE: cannot be boolean - - scalemin, float - Defines the minimum electrostatic potential for colorization - NOTE: If both scalemin and scalemax are set to 'compute', ChimeraX can determine the best minima and maxima to use - - scalemax, flaot - Defines the maximum electrostatic potential for colorization - NOTE: If both scalemin and scalemax are set to 'compute,' ChimeraX can determine the best minima and maxima to use - +def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, isoSurf, material, scalemin,scalemax,colorscheme,representation, lighting, shadows): + """ + THIS SCRIPT IS DESIGNED TO TAKE GAUSSIAN CUBE FILES AND VISUALIZE THE FILES IN CHIMERAX + + TO EXECUTE SCRIPT RUN : + + chimerax + + ChimeraX can be found here, with stable and nightly releases : + + https://www.cgl.ucsf.edu/chimerax/download.html + + PARAMETERS : + session, as is + ChimeraX uses this to recognize to run this within the same session + outFile, str + name of output file + outSuffix, str + Suffix of output file + OPTIONS: + XYZ + PDB + CXS (DEFAULT CHIMERAX SAVE STATE) + PNG + CUBE + isoFile, str + Input file to create the volume isosurfaces, + Should have suffic *_esp.cube + colorFile + Input file to use as a color map + should have suffix *_rho.cube + isoSurf, float + This float instructs ChimeraX to display a certain isosurface level + material, str + define the material for the surface volume rendering + OPTIONS: + shiny + dull + lighting, str + define the lighting of the render window + OPTIONS: + simple + full + shadows, str + Define if we want to include shadows in our render + OPTIONS + True + False + NOTE: cannot be boolean + scalemin, float + Defines the minimum electrostatic potential for colorization + NOTE: If both scalemin and scalemax are set to 'compute', ChimeraX can determine the best minima and maxima to use + scalemax, flaot + Defines the maximum electrostatic potential for colorization + NOTE: If both scalemin and scalemax are set to 'compute,' ChimeraX can determine the best minima and maxima to use representation, str - defines how the isosurfaces should be rendered - OPTIONS: - surface (default and recommended) - mesh - - colorscheme, str, or color1:color2:color3:color(n+1)... format for custom schemes - defines the colorization of the color gradient function, AKA palette in ChimeraX terminology - OPTIONS: - Custom - rainbow - red-white-blue - grayscale - please see https://www.rbvi.ucsf.edu/chimerax/docs/user/commands/color.html#palette-options for more options + defines how the isosurfaces should be rendered + OPTIONS: + surface (default and recommended) + mesh + colorscheme, str, or color1:color2:color3:color(n+1)... format for custom schemes + defines the colorization of the color gradient function, AKA palette in ChimeraX terminology + OPTIONS: + Custom + rainbow + red-white-blue + grayscale + please see https://www.rbvi.ucsf.edu/chimerax/docs/user/commands/color.html#palette-options for more options - END PARAMETERS + END PARAMETERS + """ -""" - - -def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, isoSurf, material, scalemin,scalemax,colorscheme,representation, lighting, shadows): + from chimerax.core.commands import run + from chimerax.core import errors + from chimerax import io run(session, 'open %s' % (isoFile)) # Open ESP run(session, 'open %s' % (colorFile)) # Open RHO run(session, 'hide #2') # Hides Colorfile from Rendering Window @@ -107,20 +91,17 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is #END FUNCTION # INPUT FILE VALUES HERE -isoFile = 'acrolein_q+0_rho.cube' -colorFile = 'acrolein_q+0_esp.cube' +isoFile = 'dichloropyridine26_q+0_rho.cube' +colorFile = 'dichloropyridine26_q+0_esp.cube' # OUTPUT FILENAME AND SUFFIX HERE outFile = isoFile[:-9] # Removes '_esp.cube' from esp cube file to generate name outSuffix = 'png' #THESE ARE DEFAULT VALUES -isoSurf = .009 +isoSurf = .005 material = 'shiny' colorscheme = 'rainbow' -#colorscheme = '#ca1818:#ca1111:#ca1313:#31ff38:#2934ff:#3000ff:#5405ff:#6500ff:#7500ff:#b800ff' -#colorscheme = '#7500ff:#5405ff:#3138ff:#ca1111:#ca1818' -#colorscheme = '#ff0000:#ff5c0b:#ff0303:#00aa00:#06ca1c:#0949ea#:#0521d9' #colorscheme = '#ca1818:#ca1313:#ca1111:#3138ff:#5405ff:#6500ff:#7500ff' representation = 'surface' lighting = 'full' From e6e96faacba0d90bcaf2da8b86312ad3c83da6ff Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 20 Aug 2021 13:04:33 -0400 Subject: [PATCH 069/126] consolidated into function, tested in linux CLI --- examples/annotate_2D/2DAnnotate.ipynb | 458 ++++++++++++++++++++++++++ examples/annotate_2D/2DAnnotate.py | 150 +++++++++ 2 files changed, 608 insertions(+) create mode 100644 examples/annotate_2D/2DAnnotate.ipynb create mode 100644 examples/annotate_2D/2DAnnotate.py diff --git a/examples/annotate_2D/2DAnnotate.ipynb b/examples/annotate_2D/2DAnnotate.ipynb new file mode 100644 index 00000000..f42e476c --- /dev/null +++ b/examples/annotate_2D/2DAnnotate.ipynb @@ -0,0 +1,458 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "415389d5", + "metadata": {}, + "source": [ + "# 2D Annotations of Molecules \n", + "\n", + "## Introduction\n", + "The goal of this project is to render a 2 dimensional molecular drawing with annotations detailing a specific feature per atom. \n", + "\n", + "This example uses 2,6-Dichloropyridine as an input.\n", + "\n", + "## Dependencies\n", + "1. IOData\n", + "2. Numpy\n", + "3. RDKit\n", + "5. CHEMML \n", + "6. Pandas\n", + "7. Glob \n", + "8. OS \n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "3744a11c", + "metadata": {}, + "outputs": [], + "source": [ + "# import required libraries\n", + "from iodata import load_one, dump_one\n", + "\n", + "import numpy as np\n", + "\n", + "from rdkit import Chem\n", + "from rdkit.Chem import AllChem\n", + "from rdkit.Chem.rdchem import Atom\n", + "from rdkit.Chem import Draw\n", + "from rdkit.Chem.Draw import rdMolDraw2D\n", + "from rdkit.Chem.Draw import MolToImage\n", + "from rdkit.Chem.Draw import DrawingOptions\n", + "\n", + "from IPython.display import Image\n", + "\n", + "from chemml.chem import Molecule\n", + "\n", + "import pandas as pd\n", + "import glob\n", + "import os" + ] + }, + { + "cell_type": "markdown", + "id": "055a3b9c", + "metadata": {}, + "source": [ + "## Manipulation of Input and Extraction of Charges \n", + "\n", + "We first want to open our file using IOData, designated `loadInput`, from then we can extract informations related to the `.fchk` file using IOData to annotate our molecule.\n", + "\n", + "Then we can use `dump_one` to output two files, one XYZ file and one PDB File. " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "ee68d1a9", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Molecule Name : \n", + "dichloropyridine26_q+0\n", + " \n" + ] + } + ], + "source": [ + "inputName = 'dichloropyridine26_q+0.fchk' # EDIT THIS TO CHANGE MOLECULE\n", + "loadInput = load_one(inputName) \n", + "\n", + "xyzName = 'dichloropyridine26_q+0.xyz' # EDIT THIS TO CHANGE INTERMEDIATE XYZ FILE\n", + "pdbName = 'dichloropyridine_q+0.pdb' # EDIT THIS TO CHANGE INTERMEDIATE PDB FILE \n", + "molName = xyzName[:-4]\n", + "imageName = f\"{molName}.png\" \n", + "\n", + "print(\"Molecule Name : \")\n", + "print(molName)\n", + "print(\" \")\n", + "\n", + "dump_one(loadInput,pdbName) # DUMP XYZ\n", + "dump_one(loadInput, xyzName) # DUMP PDB\n", + "espCharges = loadInput.atcharges['esp'][:] # IOData ESP CHARGES " + ] + }, + { + "cell_type": "markdown", + "id": "9fb5b251", + "metadata": {}, + "source": [ + "## Manipulate Molecule to Create MOL Object\n", + "We need to dump our IOData loaded molecule into an `.xyz` file, which can then be parsed using `CHEMML`, to create a data table containing basic information such as filename, XYZ Cartesian Coordinates, and the SMILES equivalent of the molecule.\n", + "\n", + "\n", + "PDB Files maintain the same atomic order as IOData, however, pi bonds cannot visualize properly, due to the fact that PDB files enumerate pi bonds through the distance between atoms in cartesian space, whereas RDKit prefers that bonds are explicitly mentioned.\n", + "\n", + "We can exploit this by extracting the SMILES representation of 2,6-Dichloropyridine from our XYZ File. This is accomplished by enumerating every molecule within the XYZ file using `for molecule in molecule_list:`, then tabulating the molecules into a Pandas DataFrame `table`, then extracting the SMILES string.\n", + "\n", + "With regards to the PDB File, we can exploit the way the PDB enumerates atoms, and use `AllChem.AssignBondOrdersFromTemplate` to force the PDB to visualize as the SMILES string, which serves as our template molecule, resulting in object `tempMol` \n", + "\n", + "Then we can iterate through every atom in the forced assignment and label each atom using `atom.SetProp()` " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "22744f1d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[,\n", + " pybel_molecule : ,\n", + " creator : ('XYZ', 'acrolein_q+0.xyz'),\n", + " smiles : 'C=CC=O',\n", + " smarts : None,\n", + " inchi : None,\n", + " xyz : )>]\n", + " \n", + "\n", + " Name SMILES\n", + "0 acrolein_q+0.xyz C=CC=O\n", + " \n", + "Our Molecule in SMILES format: \n", + "C=CC=O\n", + " \n", + "-0.473096529\n", + "-0.16880218\n", + "0.492524424\n", + "-0.353041221\n" + ] + }, + { + "data": { + "image/png": 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NMlowgCVLNFnSutn60fbv1+w4fnwrR9HeIayrq0tOTuZfDkZSeeothg1+GjY1NZXfWe7q6nr06FEDvjK03Jgx94Mkk7EbN5qxo1qtuZ5hYcFaNz+u/UJ48+bNmJiYvn378p91e3v78PDwq1evttsAmiopKWnPYriwsHDs2LEoTQVQqVjTX+Zra5ml5f0gPaCZ78O89prmy7B1v/C3RwiNsK2LqGK4vr4+IiKCn+wJCAhAadrmSkpYTAxzc2NKpe6qc+c0KXr55Wa/8ooVmt3Xrm3NGNswhLW1tUql8qmnnuI/6GZmZtOnTxc768dIiuHt27fz0tTNza3d5nyYnBMn2Guvab7rXn1Vd4ODB5t9XlTbv/6l2f3Pf27NSNskhAZv69J6xlYMFxQUjBkzhpemMTExAn8l7mzq6lhyMhs37n485HLm789SU/Vc/du27VeXB5vrv//V7L54cWuGbOAQtkVbl1YywmKY0y5NZ8yYIfaehM7g5k0WE8NcXO4Hw96ehYezhxxnk5I0KdLqSvi4DhzQ7P7737di3AYKYZu2dWmZ2tra5OTk0aNHS5Wn8GJYr++//57PinRzc+M9vKDZ0tNZSAhTKDRzHWJj2SOPs//5jyZFERHNftPUVM3uH33UsoFzrQ1h+7R1aRYjLIYfrqCggB8sUJo2T20tS05mo0drKs/p01la2uPObzh6tFVfZZs2aXb/y1+avbuWFoZQSFuXRzLCYvgxqVQqqTSdOXMmStNHKCpiUVGsV6/7GXB0ZBERrLnH2UuXNCl67rlmj2HpUs3u//xns3fX0uwQ6m3rIraOMsJiuGW2bdvGS1N3d3eUpvodPswCAzW3UA8fzuLjW3itXK1m3btrYtxcM2dqQnjhQksG8ItmhNBI2rpou3z5srEVw62Un58/atQofnSLjY0VPRyjUVPDlEo2bJjmJpXAQNb64+zUqS0MUl0d69lTcwaodfddPDqEjY2NaWlp2k8La8F8AsMyzmLYUGpra8PDw/nnmjVr1t27d0WPSKjLl1lEhOYnvndvFhHBDHWc/eqrFp5c2bJFs2NgYCtH8bAQGmFbF7E9DtvT1q1bu3XrxkvT48ePix6OCLzylCa8+/oypdJQk9nvKytjXbpoptKXlDzWXg0NbPhwTQgPHmzlKB4Wwp07d/KfdWNo66K3GL5165bAIbW1/Pz8kSNHmlxpWlnJ4uPZkCH3f8QtLVlgIGu74+wbb/zq5rXHKSyXLdPsMnx464fwsBA2NjbOnz9/x44dAm81bloM88pTYDHcnrRL0xdffLGTl6aXLrGICM3JEmdnFhXF2vo4W1bGnJ01oZo//xGTdFeuZDLZ/Y0VCnb6dOuHYBQz6/UywmJYlC1btvDSdNCgQTrPl+wMGhtZWhqbPl3zw80rz3Y7zu7e/auOFZ6e7N//1p3g29DADh5kEydqNiNiMTEGeX9jDKER9jgULjc3l98Kb2Vl1XlK04oKFh/PvL3v/0xbWbGQECbkOJuaqvnlUBrMqFFsxgw2ezabMEFzZkiaf/jFF4Z6cyMKoRH2ODQqNTU1Umk6e/bs8vJy0SNqufPnz+dFRrKuXe//TPfvz776iom9ReHECfZ///erpD3oT79+bMsWA76zUYRQb4/DFrd16dxSUlLs7e2JyNPT8+zZs6KH0zzax9k3hg5lRGzcOJac3H6V58Op1Sw5mQUEaI4O2n/MzZmfH1u9mtXWGvZtBYfQCHscGr+cnJwnn3yyY5WmpaWlX3zxhdsvz3KwtbV955136nNyRI7p7t0HXu6vrWUnTrDUVLZhA1u3jm3dyv73P9ZmpYeYEBphj8OORbs0fe2118Q2yHo4YzzO5uSw8HBmY8OsrZkRNDdo7xC2c1uXzm3Tpk02NjZE5OXlZWznjdunfVZzx8S2bmWTJmlOrvj7s0uXhI3nF+0XQiPscdgJZGdnDxs2zKhKU36clSpPozjOlpez2FhNfzQbGxYayozmpEObh9BI2rp0YtqlaUhIiMDjmjEeZzMyWGgos7a+H78BA1hMjDGUoNraMITG1talc/vmm2/4lVUvL69z586151sb43G2oYGlpjJ/f818X39/lpys5zEvRqBNQmi0bV06t6ysLD6p0srKKj4+vh3e0RiPs1KPQx4/OzsWGtrK+X5tzZAh1GnrYgw9Dk1NdXV1aGioVJree8yHKzSfznHW29s7NjZW8HE2PZ2FhmpufPH0ZDExrCPcbWuYEHa4ti6dm1Kp5KWpt7e3YUtTY2yfxXsc6lSeenscGqvWhrDjtnXp3LKysoYOHUpEXbp0SUhIaP0LGuNxVm+PwytXRA6pRVoYwk7T1qUTq66ufuONN1pfmuocZ4cPHy7+OKu3x2Gb1d5trSUhXLJkCZ9ZQ0R9+vSJjo4uLi42+MjAIKTSdPDgwc26HZcfZ/lFSGM5zvIeh9KjlJrb49BYtSSE8+bNo87V1qVzu3jxolSa/v3vf3/k9rx9Fn/GMBE5OTmJb59144aeHof5+SKHZDgtCWFubu6ZM2cMPhRoO1VVVXPnzpVK0wedxuSVp3G1z+KVp0F6HBoro5jKBO1DqVTyG6kHDx6cmZmps/b48eM8e1ZWVgsWLDhtiMYNLddGPQ6NEkJoWi5cuMB71dnY2Hz77bc6a2fMmLFs2TKxvWR1exw6ORmyx6FRQghNTlVVVXBw8CNL03amVqv37NkT9OKL6m7d7sdv7FiWmGjgHodGCSE0UVJp6uPjc0HoXV06vWRPTZ7MFixg6ekCh9TOEELTdeHCBR8fHyKytbVNTExs/wFcunTJ1HrJ6oUQmrTKyspXX321nUvTB/WSNdnLXQghMKVSyScBPv3005facqY57yU7ePBgnj1LS8uQkJAO167K4BBCYIyxM2fODBw4kJemSUlJBn/9nJwc7V6yHh4e6CUrQQjhvsrKyqCgIKk0NcjdoUb4SC8jhBDCr8TFxVlaWjo4OBQVFbXmdcrLy2NjY/v168ezZ2Njg16yDyJjjBGAltOnT1dUVEyaNKllu2dkZKxbt27z5s3V1dVENHDgwDfeeCM0NFQ6Cwo6EEIwjMbGxl27dq1evXrv3r1EJJfLJ02aFBoaOnv2bOlmVNDLXO9SlUqVlJR0+PDh6upqd3f34OBgaeqgjosXLyYmJubn53fr1s3HxycoKEh6ePWxY8e2b9+us/24ceMCAgL4f+fk5GzevDk/P9/Ozs7b2/vVV1+V5oxCB3Lr1q2NGzeuXbu2sLCQiOzs7IKCgt577z3pLCg8QtMKtaysjHdZt7a2dnFxISIzM7PVq1frbKZWqyMjI2UymYWFhZubGz/x5eDgIE2wiIqKavp2X/zyLJvo6Gi5XK5QKFxdXXkH2x49epjoI2k7LGPscdgB6Qnhyy+/TERvvvkmv3R76tSp3r17y+XykydPam+2ceNGInrrrbf4kyvr6+s/++wzIvL19eUb8I5DentvJSUlEdGCBQt4O/SGhobly5cTkY+Pj6E/IBieMfY47Mh0Q5iXlyeTyVxcXLRPIm/YsIGI5syZo73ljRs3li1bpvMQX15P8rPbAQEBMpmspqam6bsWFxd//vnnOuepeW/820bWmBW08R6HvD4iI+lx2PHphnD16tVEtHjxYu2FFRUVVlZWdnZ2Dz/UqVQqKysrGxsbvpmvr2+PHj0ecxwNDQ329vYWFhYme++SkTPGHoedhe6JmQsXLhDR8OHDtRfa2dkNHDgwMzOzsLBQeoqgDpVK9eGHH9bW1n744Yf8ymxxcbGzs/P58+czMjJUKpWPj8+YMWOki7ba6uvrIyMjKyoqFi5cKP1vBiORlJS0fPnyjIwMIjI3Nw8MDFy4cOGECRNEj6sT0QnlSy+9RERN+/lMnDiRiPTOtv74448nTZrk4OBgZWUVHR3NC9SGhgZzc3OdyI0cOTL/131BoqOjJ0+e7OTkZGFh8cknn+ChvEZo4cKFZCQ9Djsp+RNabt68qVKpiMjKykonq3zuWV1dnd4km5ub29vb19bWpqWl5efnE5GZmdmOHTs2bNhQUFBQXV2dnZ0dEhJy8uTJF198Ua1WN91XpVLt3bv38uXLBjq2gMGEh4crlcrCwkLtZy2BIT2vpaSkhM+53rZtm05YR40aRURNG5No+/77783NzQcNGqT397rGxkb+IgcPHmy6dteuXQqFwt3dvdbQzyIGMHLyXVocHR09PDyI6ObNmzpZLSoqkslk0q2Aes2cOfO55567dOnSsWPHmq6Vy+XPPPMMEWVnZ+s9FsycObOgoODQoUMtO5oAdFBynb/zxwzs3LlTe+FPP/10/fr1YcOGSVNRHsTJyYmIysrK9K69e/cuEUmNg5u1L0BnpRtCf3//3r17p6WlZWZmSgtXrVpFRCEhIdpbZmZmLliwoLa2Vlpy7969/fv3E9GQIUPKy8s/+ugjfgsvV1RUtHXrVktLy2eeeSYnJ4fP45bW1tTUpKWl8X0N+fkAjF/TCnXz5s1E5ODg8OWXX3777beBgYFENGTIEH4JPjY21tPTMzExccWKFUQ0ePDg1atXp6amJiQk8JvdgoKCGGN//vOficjV1fWTTz755ptvoqOj+RfdX/7yF8bY2rVr6Ze7nFJTU9evX+/r60tEM2fObOdyHEA4/fMJlUplnz59eErNzMxmzJghzS77+OOPiWjt2rWMsaSkJP47JNe1a9dFixbxW2TUanVCQsKgQYOktQMGDNi0aZP0Flu2bOFTuTlra+uwsDBc/AUT9MCpTGq1+tKlS9XV1W5ubtJjCYiopqampqama9eulpaWfEleXt7Nmzft7Oy8vLyaXtu4fv16SUlJz5499Z7UuXLlSlFRka2trZeXl3QfMIBJwXxCAMF0T8wAQDtDCAEEQwgBBEMIAQRDCAEEQwgBBNPfbQ06lsbGxtzcXH5R18HB4ZHbM8bKy8uJyMzMzM7OTntVXV1dXl6eSqXq37+/vb29zo4NDQ0FBQVVVVWurq7aV4+hVQTfLACt9o9//IPfEkhEMplsypQpj2z6EhcXx7fX7qzV2Ni4bNkyqWOlQqEICQkpLy+XNli7dq10HxURPfHEE4cPH26jD2VSEMKObdOmTUTk6Oi4cuXKpKQkfpP9gAEDKioqHrRLYWGhra2tr6+vpaWldggXLVrE942NjY2Li5s6dSoRTZ48mXcMioyMJKLf/OY3GzZsSExMfPfddxUKRZcuXbKzs9vjc3ZqCGEHVlNT4+TkZG5urj3Z+q233iKiTz/99EF7zZgxQy6XHz9+3MrKSgrh1atX5XK5o6Oj9IxOtVrNO+Fv3769vr7e399/3rx52p2+eCwjIyPb5sOZEJyY6cD27t1bUlLi7++vPf8rPDyciBITE/XukpiYmJqaGh4ezrscSPbt26dWq+fOnSv9SimTyXh3mZSUFHNz87S0tPXr12s3DfLy8iKiyspKQ38sk4MQdmAnTpwgohdeeEF7oY+Pj4eHR05ODp9Cre327dvvv/++s7Pz0qVLdVbxLOk8s+Xpp58morNnz/K/6jTCS01NJSI/P79Wfw5Th7OjHVhBQQEROTs76yzv06fP1atXCwoKdEL13nvv3bp1a9u2bU1Pe3p6ehLRkSNHtBdaWFgQ0a1bt6QlFRUVp06dKi4uTk5O3rFjB3/ei+E+kIlCCDuwe/fuEVHTSwV8SVVVlfbC3bt3b968edq0abNmzWr6UlOnTvX09Pzhhx/CwsLmz59vYWFx4MAB/mwC7RZ7Fy9enDJlCv9vPz+/yMhIuRzFVGvhX7AD499U2j1EOB5O7bmd1dXV77zzjrW19Zo1a/S+lEKh2L59u4+Pz5o1a0aOHPnUU09FRkbOmzePiLQvJD799NOXL18+evToypUrMzMzhw8fzrtFQ2vgm7AD4ydRSktLdZbzZlnaV+3/9Kc/XblyZdGiRWq1+sqVK3whY0ylUl25cqVHjx7dunXz9vY+f/78kSNHLl++3LNnz/Hjx+fn58fExGjPxraysurfv3///v3Hjh3r7qsqWuoAAAL7SURBVO7+0ksvRUVFpaSktPUn7eREn56FlouPjyeihQsXai+srKzs0qWLnZ2d9rN6Hl40Ss+r05GQkEBEH3zwgd61t2/fJqIBAwYY8BOZJnwTdmDPP/+8XC7/7rvvvvrqK16aEtHWrVtrampmzZqlHbyvv/666e5hYWG9evVaunTpyJEjm65taGiIi4uTyWSvvfYaEWVlZfXt21e7NL1x4wb9uliFFhJ9FIBW4bfIzJs3jz+a88SJE05OTmZmZhkZGYyx9PT0devWPahvuvbFesZYYWFhbm4u/+/Lly/zByovWLCAMVZRUeHk5OTr63vu3Dm+wbVr18aPH09Ey5Yta9MPaAoQwo6tvLycX3a3tLTkN3YqFIp169bxtfx6YFxcnN59dUI4Y8YMIurRo4d0J+rcuXOlpxIolUre+tnZ2dnd3Z0/hn727Nl4lF3rodFTh9fQ0JCSknLo0KGqqioPD4/g4GDpYfEHDhzYt29fQECAzv0x3Mcff9yjRw9+yygRFRcXJyYmZmdn19XVubu7z5gxY8SIEdrbX79+PTExMTMz8+eff3Z1dZ02bRq/vxRaCSEEEAzXCQEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQT7f0JDv87GXgmOAAAAt3pUWHRyZGtpdFBLTCByZGtpdCAyMDIxLjAzLjQAAHice79v7T0GIOABYkYGCGABYmYgbmDkYNIAsZl0QUL+hgoKICV6IEIfRCgYgJRFRESY/wcCQ7CQEZg0hpj0wd6SjSkDZAQzI9gMZyOoGUwUmGEMNYOZDDOYIH5xNoGawUKKGdxMjApMDBpMzIwaTCIM4rDwYmD5lvzXvvMYtx2I86BAcv/1S89gbHsgex+IDVSzH6gGzBYDALMrPeAX0Wt2AAAAl3pUWHRNT0wgcmRraXQgMjAyMS4wMy40AAB4nKWQwQoCMQxE7/mK+YGWabftmrP1JCp48B+87/+zrZWy4C4UDDlkSPJgRlDrma/vBb18FgECMAHcbVXFy5OUeu+szprqROumFNtUtsQDR4htV4qhjaqh/YbI04ZyHqagU8wfFNMdmR9Hw5QSni/ZdOE+mi1Z/xU34HLPsgJaWTz5DMp5mwAAAIR6VFh0U01JTEVTIHJka2l0IDIwMjEuMDMuNAAAeJxVjDsKgDAQBa9iqbBZsq5J3ASr9OoVLCwlIpYe3gh+sBuGNy92MXZDcZSKUJxYAqWR2BoIGYwIOwGNjdFt7SC8Sn3uCe+ugmlPy7il1Wu8sE/7jHnPhj39DFnx9WfypbDn36RxfJxVKCmpyscJfgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "xyz_files = glob.glob(xyzName)\n", + "mol = Molecule('dichloropyridine26_q+0.xyz', 'xyz')\n", + "\n", + "# make a list of ChemML Molecule object instances based on the names of the xyz files from xyz_files\n", + "molecule_list = [Molecule(xyzName, input_type='xyz') for file in xyz_files]\n", + "\n", + "# alter the ChemML Molecule object instances of molecule_list so that their SMILES codes can be recognzied by RDKit\n", + "for molecule in molecule_list:\n", + " molecule.to_smiles()\n", + "\n", + "print(molecule_list)\n", + "\n", + "table = pd.DataFrame(data={'Name':xyzName, \n", + " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", + " columns=['Name','SMILES'])\n", + "\n", + "print(\" \")\n", + "print(\"\")\n", + "print(table)\n", + "\n", + "print(\" \")\n", + "smiles = table.iloc[0,1]\n", + "print(\"Our Molecule in SMILES format: \")\n", + "print(smiles)\n", + "print(\" \")\n", + "\n", + "\n", + "chem = Chem.MolFromPDBFile(pdbName, sanitize=True)\n", + "template = Chem.MolFromSmiles(smiles)\n", + "AllChem.Compute2DCoords(chem)\n", + "tempMol = AllChem.AssignBondOrdersFromTemplate(template,chem)\n", + "\n", + "def imageMolecule(chem,imageName):\n", + " \"\"\"\n", + " This function consolidates all calls done to generate the desired image\n", + " \"\"\"\n", + " \n", + " drawMolecule = rdMolDraw2D.MolDraw2DCairo(300, 300)\n", + " rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chem)\n", + " drawMolecule.drawOptions().addStereoAnnotation = True\n", + " \n", + " for i, atom in enumerate(tempMol.GetAtoms()):\n", + " atom.SetProp(\"atomNote\", f\"{np.round(float(espCharges[i]),3)}\")\n", + " print(espCharges[i])\n", + " \n", + " Chem.Draw.MolToFile(tempMol,imageName)\n", + "\n", + "\n", + "imageMolecule(tempMol,imageName)\n", + "\n", + "Image(imageName)" + ] + }, + { + "cell_type": "markdown", + "id": "cfdbc83c", + "metadata": {}, + "source": [ + "## 2D Annotations Consolidated as a Function\n", + "\n", + "The afforementioned annotations have been consolidated into a function below for ease of use" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "e64c6d0d", + "metadata": {}, + "outputs": [], + "source": [ + "def annotation2D(inputName):\n", + " \"\"\"\n", + " This function is designed to consolidate what is necessary to use RDKit to visualize molecular data onto a 2D representation of a molecule\n", + " \n", + " CONDA ENVIRONMENT\n", + " This function requires a conda environment containing\n", + " 1. Pandas\n", + " 2. Numpy\n", + " 3. Glob\n", + " 4. OS\n", + " 5. Chemml\n", + " 6. RDKit \n", + " \n", + " PARAMETERS:\n", + " inputName, str\n", + " The file name of the Gaussian Checkpoint *.fchk file that will be processed\n", + " \n", + " xyzName, str\n", + " Derived from inputName\n", + " This represents the name of the intermediate XYZ File in which the SMILES format is extracted from\n", + " \n", + " pdbName, str\n", + " Derived from inputName\n", + " This represents the name of the intermediate PDB File in which the atomic indices are preserved for annotation\n", + " \n", + " molName, str\n", + " Derived from xyzName\n", + " This represents the name of the molecule\n", + " \n", + " imageName, str\n", + " Derived from molName\n", + " This represents the name of the annotated image. \n", + " \n", + " xyz_files, glob\n", + " This is meant to find all relevant XYZ Files\n", + " \n", + " mol and molecule_list, chemml object\n", + " This is the loaded XYZ file, and will be tabulated in order to find the SMILES String\n", + " \n", + " table, Pandas DataFrame\n", + " Tabulated format allowing us to extract the SMILES String from the chemml object\n", + " \n", + " smiles, str\n", + " This represents the extracted SMILES string from our XYZ intermediate file\n", + " \n", + " chem, RDKit mol object \n", + " This represents our intermediate PDB loaded into RDKit \n", + " \n", + " template, RDKit mol object\n", + " This represents our SMILES string (originally from XYZ intermediate) loaded into RDKit \n", + " \n", + " tempMol, corrected RDKit mol object\n", + " This represents our PDB Corrected using the XYZ SMILES String\n", + " This is accomplished by using AllChem.AssignBondOrdersFromTemplate\n", + " \n", + " drawMolecule, RDKit mol object visualization\n", + " This represents our RDKit object being visualized\n", + " MolDraw2DCairo is used to output to PNG\n", + " \n", + " \n", + " END PARAMETERS\n", + "\n", + " \"\"\"\n", + "\n", + " #DEPENDENCIES \n", + " from iodata import load_one, dump_one\n", + " \n", + " import glob\n", + " import os\n", + " \n", + " import numpy as np\n", + " import pandas as pd\n", + " \n", + " from chemml.chem import Molecule\n", + "\n", + " from rdkit import Chem\n", + " from rdkit.Chem import AllChem\n", + " from rdkit.Chem.rdchem import Atom\n", + " from rdkit.Chem import Draw\n", + " from rdkit.Chem.Draw import rdMolDraw2D\n", + " from rdkit.Chem.Draw import MolToImage\n", + " from rdkit.Chem.Draw import DrawingOptions\n", + " \n", + " # END DEPENDENCIES\n", + " \n", + " loadInput = load_one(inputName) \n", + "\n", + " xyzName = f\"{inputName[:-4]}xyz\" # EDIT THIS TO CHANGE INTERMEDIATE XYZ FILE\n", + " pdbName = f\"{inputName[:-4]}pdb\" # EDIT THIS TO CHANGE INTERMEDIATE PDB FILE \n", + " molName = xyzName[:-4]\n", + " imageName = f\"{molName}.png\" \n", + "\n", + " print(\"Molecule Name : \")\n", + " print(molName)\n", + " print(xyzName)\n", + "\n", + " dump_one(loadInput,pdbName) # DUMP XYZ\n", + " dump_one(loadInput, xyzName) # DUMP PDB\n", + " \n", + " # EDIT annotateValue TO CHANGE ANNOTATIONS \n", + " annotateValue = loadInput.atcharges['esp'][:] #EDITABLE \n", + "\n", + " xyz_files = glob.glob(xyzName)\n", + " mol = Molecule('dichloropyridine26_q+0.xyz', 'xyz')\n", + "\n", + " molecule_list = [Molecule(xyzName, input_type='xyz') for file in xyz_files]\n", + " for molecule in molecule_list:\n", + " molecule.to_smiles()\n", + " print(molecule_list)\n", + " table = pd.DataFrame(data={'Name':xyzName, \n", + " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", + " columns=['Name','SMILES'])\n", + "\n", + " print(\" \")\n", + " print(table)\n", + " print(\" \")\n", + " \n", + " smiles = table.iloc[0,1]\n", + " print(\"Our Molecule in SMILES format: \")\n", + " print(smiles)\n", + " print(\" \")\n", + " \n", + " chem = Chem.MolFromPDBFile(pdbName, sanitize=True)\n", + " template = Chem.MolFromSmiles(smiles)\n", + " AllChem.Compute2DCoords(chem)\n", + " tempMol = AllChem.AssignBondOrdersFromTemplate(template,chem)\n", + "\n", + " # THE FOLLOWING STEPS WILL VISUALIZE OUR MOLECULE\n", + " \n", + " drawMolecule = rdMolDraw2D.MolDraw2DCairo(300, 300)\n", + " rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chem)\n", + " drawMolecule.drawOptions().addStereoAnnotation = True\n", + " \n", + " # NOW WE CAN ANNOTATE OUR MOLECULE\n", + " for i, atom in enumerate(tempMol.GetAtoms()):\n", + " atom.SetProp(\"atomNote\", f\"{np.round(float(annotateValue[i]),3)}\") \n", + " \n", + " # OUTPUT VISUALIZATION TO FILE \n", + " Chem.Draw.MolToFile(tempMol,imageName) \n", + " print(\" \")\n", + " print(f\"The molecule {molName} has been annotated and output as file {imageName}\")\n", + " print(\" \")\n", + " #END FUNCTION " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "642ee7cb", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Molecule Name : \n", + "dichloropyridine26_q+0\n", + "dichloropyridine26_q+0.xyz\n", + "[,\n", + " pybel_molecule : ,\n", + " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", + " smiles : 'Clc1cccc(Cl)n1',\n", + " smarts : None,\n", + " inchi : None,\n", + " xyz : )>]\n", + " \n", + " Name SMILES\n", + "0 dichloropyridine26_q+0.xyz Clc1cccc(Cl)n1\n", + " \n", + "Our Molecule in SMILES format: \n", + "Clc1cccc(Cl)n1\n", + " \n", + " \n", + "The molecule dichloropyridine26_q+0 has been annotated and output as file dichloropyridine26_q+0.png\n", + " \n" + ] + } + ], + "source": [ + "\n", + "inputName = 'dichloropyridine26_q+0.fchk'\n", + "annotation2D(inputName)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3ca37bff", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e8469494", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:.conda-chemml_env] *", + "language": "python", + "name": "conda-env-.conda-chemml_env-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/examples/annotate_2D/2DAnnotate.py b/examples/annotate_2D/2DAnnotate.py new file mode 100644 index 00000000..b5a36887 --- /dev/null +++ b/examples/annotate_2D/2DAnnotate.py @@ -0,0 +1,150 @@ +def annotation2D(inputName): + """ + This function is designed to consolidate what is necessary to use RDKit to visualize molecular data onto a 2D representation of a molecule + + CONDA ENVIRONMENT + This function requires a conda environment containing + 1. Pandas + 2. Numpy + 3. Glob + 4. OS + 5. Chemml + 6. RDKit + + PARAMETERS: + inputName, str + The file name of the Gaussian Checkpoint *.fchk file that will be processed + + xyzName, str + Derived from inputName + This represents the name of the intermediate XYZ File in which the SMILES format is extracted from + + pdbName, str + Derived from inputName + This represents the name of the intermediate PDB File in which the atomic indices are preserved for annotation + + molName, str + Derived from xyzName + This represents the name of the molecule + + imageName, str + Derived from molName + This represents the name of the annotated image. + + xyz_files, glob + This is meant to find all relevant XYZ Files + + mol and molecule_list, chemml object + This is the loaded XYZ file, and will be tabulated in order to find the SMILES String + + table, Pandas DataFrame + Tabulated format allowing us to extract the SMILES String from the chemml object + + smiles, str + This represents the extracted SMILES string from our XYZ intermediate file + + chem, RDKit mol object + This represents our intermediate PDB loaded into RDKit + + template, RDKit mol object + This represents our SMILES string (originally from XYZ intermediate) loaded into RDKit + + tempMol, corrected RDKit mol object + This represents our PDB Corrected using the XYZ SMILES String + This is accomplished by using AllChem.AssignBondOrdersFromTemplate + + drawMolecule, RDKit mol object visualization + This represents our RDKit object being visualized + MolDraw2DCairo is used to output to PNG + + + END PARAMETERS + + """ + + #DEPENDENCIES + from iodata import load_one, dump_one + + import glob + import os + + import numpy as np + import pandas as pd + + from chemml.chem import Molecule + + from rdkit import Chem + from rdkit.Chem import AllChem + from rdkit.Chem.rdchem import Atom + from rdkit.Chem import Draw + from rdkit.Chem.Draw import rdMolDraw2D + from rdkit.Chem.Draw import MolToImage + from rdkit.Chem.Draw import DrawingOptions + + # END DEPENDENCIES + + loadInput = load_one(inputName) + + xyzName = f"{inputName[:-4]}xyz" # EDIT THIS TO CHANGE INTERMEDIATE XYZ FILE + pdbName = f"{inputName[:-4]}pdb" # EDIT THIS TO CHANGE INTERMEDIATE PDB FILE + molName = xyzName[:-4] + imageName = f"{molName}.png" + + print("Molecule Name : ") + print(molName) + print(xyzName) + + dump_one(loadInput,pdbName) # DUMP XYZ + dump_one(loadInput, xyzName) # DUMP PDB + + # EDIT annotateValue TO CHANGE ANNOTATIONS + annotateValue = loadInput.atcharges['esp'][:] #EDITABLE + + xyz_files = glob.glob(xyzName) + mol = Molecule('dichloropyridine26_q+0.xyz', 'xyz') + + molecule_list = [Molecule(xyzName, input_type='xyz') for file in xyz_files] + for molecule in molecule_list: + molecule.to_smiles() + print(molecule_list) + table = pd.DataFrame(data={'Name':xyzName, + 'SMILES':[molecule.smiles for molecule in molecule_list]}, + columns=['Name','SMILES']) + + print(" ") + print(table) + print(" ") + + smiles = table.iloc[0,1] + print("Our Molecule in SMILES format: ") + print(smiles) + print(" ") + + chem = Chem.MolFromPDBFile(pdbName, sanitize=True) + template = Chem.MolFromSmiles(smiles) + AllChem.Compute2DCoords(chem) + tempMol = AllChem.AssignBondOrdersFromTemplate(template,chem) + + # THE FOLLOWING STEPS WILL VISUALIZE OUR MOLECULE + + drawMolecule = rdMolDraw2D.MolDraw2DCairo(300, 300) + rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chem) + drawMolecule.drawOptions().addStereoAnnotation = True + + # NOW WE CAN ANNOTATE OUR MOLECULE + for i, atom in enumerate(tempMol.GetAtoms()): + atom.SetProp("atomNote", f"{np.round(float(annotateValue[i]),3)}") + + # OUTPUT VISUALIZATION TO FILE + Chem.Draw.MolToFile(tempMol,imageName) + print(" ") + print(f"The molecule {molName} has been annotated and output as file {imageName}") + print(" ") + #END FUNCTION + + +inputName = 'dichloropyridine26_q+0.fchk' +annotation2D(inputName) + + + From eb8e1ae9b5ccffb25fad9cfc76e5f692098143ef Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 20 Aug 2021 13:26:02 -0400 Subject: [PATCH 070/126] test main page edit --- README.md | 94 ++----------------------------------------------------- 1 file changed, 3 insertions(+), 91 deletions(-) diff --git a/README.md b/README.md index 71aa6512..acfa1bc3 100644 --- a/README.md +++ b/README.md @@ -1,94 +1,6 @@ -ChemTools -========= +# Google Summer of Code 2021: Exploring Alternative Visualizations for OpenChem QCDevs +Nathan Wood, Year 4 Undergraduate, University of Florida -[![Python](https://img.shields.io/badge/python-2.7-blue.svg)](https://docs.python.org/2.7/) -[![codecov](https://codecov.io/gh/QuantumElephant/chemtools/branch/master/graph/badge.svg?token=s2f4Ilawut)](https://codecov.io/gh/QuantumElephant/chemtools) -[![Build Status](https://travis-ci.com/QuantumElephant/chemtools.svg?token=wtCKs521Yw1urAV4F5DM&branch=master)](https://travis-ci.com/QuantumElephant/chemtools) -[![License: GPL v3](https://img.shields.io/badge/License-GPL%20v3-blue.svg)](https://github.com/QuantumElephant/chemtools/blob/master/LICENSE) +This project was prepared under the advisory of Dr. Farnaz Heidar-Zadeh, Dr. Paul Ayers, and Dr. Esteban Vohringer-Martinez -About ------ - - ChemTools is a free and open source Python library for interpreting the results of quantum -chemistry calculations. The goal of ChemTools is to provide a toolbox by which the -quantitative output of electronic structure theory calculations can be expressed in chemical -language. ChemTools provides easy-to-use core functionality to compute fundamental descriptors -of conceptual quantum chemistry, together with a flexible set of utilities allowing scientists -to easily test their own discoveries. - -Website: https://chemtools.org - - -License -------- - -ChemTools is distributed under GPL License version 3 (GPLv3) - -Dependencies ------------- - -The following dependencies will be necessary for ChemTools to build properly, - -* Python >= 2.7, < 3.0: http://www.python.org/ (Also install development files.) -* PIP >= 7.0: https://pip.pypa.io/ (Not required in some scenarios but never bad to have.) -* SciPy >= 0.11.0: http://www.scipy.org/ -* NumPy >= 1.16.0: http://www.numpy.org/ -* SymPy >= 0.7.1: http://code.google.com/p/sympy/ -* Matplotlib >= 1.0: http://matplotlib.org/ -* Nosetests >= 1.1.2: http://readthedocs.org/docs/nose/en/latest/ -* HORTON >= 2.0.1: http://theochem.github.io/horton/2.0.1/index.html -* LFS >= 2.0.1: https://git-lfs.github.com/ - -Installation ------------- - -To install HORTON and Git-LFS with conda: -```bash -conda install -c theochem horton=2.1.0 -conda install -c conda-forge git-lfs -``` - -To install chemtools: -```bash -pip install -e . -``` - -Check our website for more detailed -installation guide - -Testing -------- - -To run tests: - -```bash -nosetests -v chemtools -``` - -Development ------------ -New contributors of all programming levels are welcome to join us. You can follow -our developer guidelines for detailed information about contributing code, building -documentation and quality assurance. - -Reference ---------- -In anticipation of the first announcement of ChemTools in a scientific journal, please reference ChemTools as follows: -* F. Heidar-Zadeh, M. Richer, S. Fias, R.A. Miranda-Quintana, M. Chan, -M. Franco-Perez, C. E. Gonzalez-Espinoza, T.D. Kim, C. Lanssens, -A.H.G. Patel, X.D. Yang, E. Vohringer-Martinez, C. Cardenas, T. Verstraelen, -and P. W. Ayers. An explicit approach to conceptual density functional theory -descriptors of arbitrary order. Chem. Phys. Lett., 660:307–312, 2016. -doi:10.1016/j.cplett.2016.07.039. - -Acknowledgements ----------------- -This software was developed using funding from a variety of international -sources including, but not limited to: Canarie, the Canada Research Chairs, -Compute Canada, the European Union's Horizon 2020 Marie Sklodowska-Curie Actions -(Individual Fellowship No 800130), the Foundation of Scientific -Research--Flanders (FWO), McMaster University, the National Fund for Scientific -and Technological Development of Chile (FONDECYT), the Natural Sciences and -Engineering Research Council of Canada (NSERC), the Research Board of Ghent -University (BOF), and Sharcnet. From b25b7d5e3e7c5010220cd21e1588068587613225 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 20 Aug 2021 13:29:26 -0400 Subject: [PATCH 071/126] test main page edit 2 --- README.md | 21 +++++++++++++++++++++ 1 file changed, 21 insertions(+) diff --git a/README.md b/README.md index acfa1bc3..431279c2 100644 --- a/README.md +++ b/README.md @@ -3,4 +3,25 @@ Nathan Wood, Year 4 Undergraduate, University of Florida This project was prepared under the advisory of Dr. Farnaz Heidar-Zadeh, Dr. Paul Ayers, and Dr. Esteban Vohringer-Martinez +## Introduction + + +## Goals + ### 3D Annotation of Molecules + + ### 2D Annotation of Molecules + + ### Plotting of Vector and Scalar Qualities of Molecules + + ### Visualizing Electrostatic Potential Isosurfaces +## Results + +## Post Mortem + +## Moving Forward + +## Special Thanks + +## Works Cited + From 99f6f428bdc7e1fba8b9ff52b265afa80c7182b7 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 20 Aug 2021 13:30:02 -0400 Subject: [PATCH 072/126] test main page edit 2 --- README.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/README.md b/README.md index 431279c2..cc06f2e1 100644 --- a/README.md +++ b/README.md @@ -7,13 +7,13 @@ This project was prepared under the advisory of Dr. Farnaz Heidar-Zadeh, Dr. Pau ## Goals - ### 3D Annotation of Molecules +### 3D Annotation of Molecules - ### 2D Annotation of Molecules +### 2D Annotation of Molecules - ### Plotting of Vector and Scalar Qualities of Molecules +### Plotting of Vector and Scalar Qualities of Molecules - ### Visualizing Electrostatic Potential Isosurfaces +### Visualizing Electrostatic Potential Isosurfaces ## Results ## Post Mortem From e78b2af2a4265e43c57d18feb2066e5637eb749c Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 13:32:50 -0400 Subject: [PATCH 073/126] Update README.md --- README.md | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/README.md b/README.md index cc06f2e1..c0a4a652 100644 --- a/README.md +++ b/README.md @@ -3,6 +3,11 @@ Nathan Wood, Year 4 Undergraduate, University of Florida This project was prepared under the advisory of Dr. Farnaz Heidar-Zadeh, Dr. Paul Ayers, and Dr. Esteban Vohringer-Martinez +## Note: Submitted Work +All work pertaining to objectives has been linked within the Results section. + +Furthermore, all commits can be found here. + ## Introduction From aa6e3a4b4ba7d65ae1851fe8c661dfbb9b49da92 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 13:34:45 -0400 Subject: [PATCH 074/126] Update README.md --- README.md | 13 +++++++++++++ 1 file changed, 13 insertions(+) diff --git a/README.md b/README.md index c0a4a652..b834ba54 100644 --- a/README.md +++ b/README.md @@ -19,11 +19,24 @@ Furthermore, all commits can be found here. ### Plotting of Vector and Scalar Qualities of Molecules ### Visualizing Electrostatic Potential Isosurfaces + +### Molecular Graphs of Bond and Ring Critical Points + ## Results ## Post Mortem +### IOData Error in 2D Annotations + +### Discrepancies between VMD and ChimeraX +### Molecular Graphs ## Moving Forward +### Administrative + +### Converting IOData Output into Chemical JSON + +### Molecular Graphs + ## Special Thanks From 887fba69629aa6f761c4b647822208faa4ee48bf Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 13:41:24 -0400 Subject: [PATCH 075/126] Update README.md --- README.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index b834ba54..647b287d 100644 --- a/README.md +++ b/README.md @@ -6,13 +6,14 @@ This project was prepared under the advisory of Dr. Farnaz Heidar-Zadeh, Dr. Pau ## Note: Submitted Work All work pertaining to objectives has been linked within the Results section. -Furthermore, all commits can be found here. ## Introduction ## Goals + ### 3D Annotation of Molecules + We wish to examine alternatives to Visualizing Molecular Dynamics (VMD) to visualize isosurfaces of molecules computed by Chemtools. Examples of VMD Alternatives include Avogadro/Avogadro2, ChimeraX, IQMol, JMol/JSMol, and PyMOL. ### 2D Annotation of Molecules From ef245f4f184575131b6f48ba85aefbb034334414 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 13:44:52 -0400 Subject: [PATCH 076/126] Update README.md --- README.md | 10 +++++++--- 1 file changed, 7 insertions(+), 3 deletions(-) diff --git a/README.md b/README.md index 647b287d..62483bbe 100644 --- a/README.md +++ b/README.md @@ -12,16 +12,20 @@ All work pertaining to objectives has been linked within the Results section. ## Goals -### 3D Annotation of Molecules +### Visualizing Electrostatic Potential Isosurfaces We wish to examine alternatives to Visualizing Molecular Dynamics (VMD) to visualize isosurfaces of molecules computed by Chemtools. Examples of VMD Alternatives include Avogadro/Avogadro2, ChimeraX, IQMol, JMol/JSMol, and PyMOL. +### 3D Annotation of Molecules + We wish to devise a means of taking IOData output, such as electrostatic potential charges, and applying these values as text annotations in a molecule rendered in a three dimensional environment. + ### 2D Annotation of Molecules + We wish to implement a means of not only visualizing a given molecule originating from a Gaussian Checkpoint file (fchk), but also annotating a 2-dimensional representation of this molecule using data from IOData. ### Plotting of Vector and Scalar Qualities of Molecules - -### Visualizing Electrostatic Potential Isosurfaces + We wish to develop a means of visualizing the computation of both scalar and vector qualities of molecules. ### Molecular Graphs of Bond and Ring Critical Points + We wish to implement a means of visualizing the bond and ring critical points of a given molecule. ## Results From a37b0abd93d560ae78f56057554abab8110b1682 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 14:20:23 -0400 Subject: [PATCH 077/126] Update README.md --- README.md | 21 +++++++++++++++++++++ 1 file changed, 21 insertions(+) diff --git a/README.md b/README.md index 62483bbe..673909b3 100644 --- a/README.md +++ b/README.md @@ -28,6 +28,27 @@ All work pertaining to objectives has been linked within the Results section. We wish to implement a means of visualizing the bond and ring critical points of a given molecule. ## Results +### Visualizing Electrostatic Potential Isosurfaces +A script, consolidated as function `print_chimerax_isosurfaces`, has +been written, and accomplishes the following actions within the ChimeraX +Environment: + +- Open our surfaces file, generically named `*_rho.cube` + +- Open our map file, which allows us to color the surfaces, + generically named `*_esp.cube` + +- Set to isosurface levels to visualize + +- Set the lighting, shadows, surface material appearance (ie dull or + shiny), and representation (ie sufraces or meshes) + +- Set a color palette, both custom or built into ChimeraX + +- Set the minimum `scalemin` and maximum `scalemax` value range for + colorizng the surfaces, or allow ChimeraX to determine the most + suitable range using the string `'compute'` for both the `scalemin` + and `scalemax` parameters within the script ## Post Mortem ### IOData Error in 2D Annotations From fce31eba61679a014fc7a6d07fd0dcd1b086167b Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 14:42:15 -0400 Subject: [PATCH 078/126] Update README.md --- README.md | 88 +++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 88 insertions(+) diff --git a/README.md b/README.md index 673909b3..b9c02a9c 100644 --- a/README.md +++ b/README.md @@ -29,6 +29,8 @@ All work pertaining to objectives has been linked within the Results section. ## Results ### Visualizing Electrostatic Potential Isosurfaces +[Python function can be found here](https://github.com/nwoodweb/chemtools/blob/master/examples/esp/chimerax_vis_esp.py) + A script, consolidated as function `print_chimerax_isosurfaces`, has been written, and accomplishes the following actions within the ChimeraX Environment: @@ -50,8 +52,94 @@ Environment: suitable range using the string `'compute'` for both the `scalemin` and `scalemax` parameters within the script +### 3D Annotation of Molecules + + +IOData can output to Protein Data Bank (PDB) files, a text file that +enumerates monomer and a atomic data, such as element, XYZ cartesian +coordinates, and B Factor, which has historically been used to quantify +flexibility and freedom of motion in computational protein-ligand +docking. Originally, ChimeraX's Attribute Files, which allow a tab +separated table enumerating characteristics per unit, was conceived as a +means of annotating molecules as it was not considered to be a \"hack\" +and could allow multiple different annotations could be performed +without overwriting our PDB. However, this was abandoned due to the +complexity of assigning IOData values to an format ChimeraX finds +accessible.\ + +IOData possesses a feature known as `extra`, which allows writing in B +Factors when an intermediate PDB file is opened using IOData function +`load_one`, which can then be written to a finalized PDB file to be +loaded into ChimeraX. Once loaded, ChimeraX can visualize the B Factor +using its labeling utilities. + +### 2D Annotation of Molecules + +IOData is used to dump an XYZ and PDB files from the original Gaussian +Checkpoint (fchk) file. XYZ files are capable of being converted to +accurate SMILES strings via the Chemml utilities, however, the order of +the atoms being enumerated differs from that of IOData, making it +non-trivial to assign charges resulting from IOData's `atcharges` call. +On the other hand, PDB Files maintain the atomic order as IOData, +however, RDKit cannot visualize any pi bonds from the PDB. This is due +to the fact that PDB Files store pi bond data based on the distance +between atoms in cartesian space, whereas RDKit prefers bonds to be +explicitly detailed. + +To address both issues, we can first correct the geometry of the PDB by +using RDKit's `Compute2DCoords` and then force the PDB to assume the +visualization stile of the afforementioned SMILES string using +`AssignBondOrdersFromTemplate`. Afterwards, the charges from IOData can +be assigned iteratively. + +### Plotting of Vector and Scalar Qualities of Molecules +Jupyter Notebook of Both Vector and Scalar Qualities + +Python Script of Field Plot + +Python Script of Contour Plot + +A Jupyter Notebook and function `plotVectorFieldOverPlane` were made +that is capable of plotting gradient vector fields. This was performed +by: + +- Using 3D rotate and scale operation against an affine plane, and then normalize to plot vector qualities against. + +- Assigning our `vectorFunc` as as the vector quality we want to + explore, in this case `mol.compute_gradient()` + +- Projecting our vector quality against the rotated affine plane + +- Visualizing the vector quality as a gradient vector field \"Quiver + Plot\" + + +To plot a scalar quality, in this case electron density, we want to + +- Rotate an affine plane and normalize to plot scalar quality against + +- Assign our `scalarFunc` which is a scalar quality of a molecule, in + this case, electrostatic density + +- Visualizing the scalar quality as a contour plot, with our + `scalarFunc` representing the level curves + + + ## Post Mortem ### IOData Error in 2D Annotations +When working with other molecules, such as Acrolein, IOData will throw +the following error + + Exception ignored in: + Traceback (most recent call last): + File "/home/woodn/.conda/envs/chemml_env/lib/python3.7/site-packages/iodata/utils.py", line 80, in __del__ + self.f.close() + AttributeError: 'LineIterator' object has no attribute 'f' + +Despite this error, IOData still dumps the necessary XYZ and PDB Files, +and the RDKit visualization is complete. + ### Discrepancies between VMD and ChimeraX From 6aac70a5ee378d79a504b6805bca7c12a466216b Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 14:55:26 -0400 Subject: [PATCH 079/126] Update README.md --- README.md | 26 ++++++++++++++++++++++++++ 1 file changed, 26 insertions(+) diff --git a/README.md b/README.md index b9c02a9c..c12914b8 100644 --- a/README.md +++ b/README.md @@ -153,6 +153,32 @@ and the RDKit visualization is complete. ## Special Thanks +I would like to extend great thanks to the following individuals for +assisting and granting me flexibility: + +- Farnaz Heidar Zadeh, Professor Queens University + +- Paul Ayers, Professor University of Toronto + +- Esteban Vohringer Martinez, Professor Universidad de Concepciòn + +- Victor Canogil + +- Toon Vestralen + +- Gabriella S.D. + +- Ali Tehrani + +-   Geoff Hutchinson, Avogadro2 Lead + + +- Elaine Meng, PhD, ChimeraX Development Team, University of + California San Francisco + +- Anthony Schaefer, PhD, ChimeraX Development Team, University of + California San Francisco + ## Works Cited From fd254da128cd518ad6ebc38e09b4e2ec68cb8120 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 20 Aug 2021 14:58:19 -0400 Subject: [PATCH 080/126] updated comments to all added --- examples/plotting/2D_Plotting_Gradient.ipynb | 434 +++++++++---------- 1 file changed, 212 insertions(+), 222 deletions(-) diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index 8fa55e6f..32aba403 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -22,7 +22,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 20, "metadata": { "scrolled": true }, @@ -31,21 +31,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "\n", - "\n", - "User: woodn\n", - "Machine info: Linux woodn 5.13.10-arch1-1 #1 SMP PREEMPT Thu, 12 Aug 2021 21:59:14 +0000 x86_64\n", - "Time: 2021-08-17T22:55:09.916226\n", - "Python version: 2.7.18 |Anaconda, Inc.| (default, Jun 4 2021, 14:47:46) [GCC 7.3.0]\n", - "HORTON version: 2.1.0\n", - "Current Dir: /home/woodn/GSOC/projects/chemtools/examples/plotting\n", - "Command line: /home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel_launcher.py\n", - " -f\n", - " /home/woodn/.local/share/jupyter/runtime/kernel-eb9fe2a4-0233-4cd8-be0c-79316ce70da4\n", - " .json\n", - "HORTON module: /home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/horton/log.pyc\n", - "\n", - "Initialized: \n", + "Initialized: \n", " Number of basis functions : 219\n", " Number of normalization constants : 453\n", " Maximum shell type : 2\n", @@ -74,65 +60,6 @@ " [-4.10063012e+00 -3.05289036e+00 -7.55890453e-05]\n", " [ 4.10047894e+00 -3.05315492e+00 2.83458920e-04]]\n" ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/woodn/GSOC/programs/chemtools/chemtools/chemtools/outputs/plot.py:27: UserWarning: \n", - "This call to matplotlib.use() has no effect because the backend has already\n", - "been chosen; matplotlib.use() must be called *before* pylab, matplotlib.pyplot,\n", - "or matplotlib.backends is imported for the first time.\n", - "\n", - "The backend was *originally* set to 'module://ipykernel.pylab.backend_inline' by the following code:\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/runpy.py\", line 174, in _run_module_as_main\n", - " \"__main__\", fname, loader, pkg_name)\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/runpy.py\", line 72, in _run_code\n", - " exec code in run_globals\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel_launcher.py\", line 16, in \n", - " app.launch_new_instance()\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/traitlets/config/application.py\", line 664, in launch_instance\n", - " app.start()\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel/kernelapp.py\", line 499, in start\n", - " self.io_loop.start()\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/tornado/ioloop.py\", line 1073, in start\n", - " handler_func(fd_obj, events)\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/tornado/stack_context.py\", line 300, in null_wrapper\n", - " return fn(*args, **kwargs)\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/zmq/eventloop/zmqstream.py\", line 462, in _handle_events\n", - " self._handle_recv()\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/zmq/eventloop/zmqstream.py\", line 492, in _handle_recv\n", - " self._run_callback(callback, msg)\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/zmq/eventloop/zmqstream.py\", line 444, in _run_callback\n", - " callback(*args, **kwargs)\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/tornado/stack_context.py\", line 300, in null_wrapper\n", - " return fn(*args, **kwargs)\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel/kernelbase.py\", line 283, in dispatcher\n", - " return self.dispatch_shell(stream, msg)\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel/kernelbase.py\", line 233, in dispatch_shell\n", - " handler(stream, idents, msg)\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel/kernelbase.py\", line 399, in execute_request\n", - " user_expressions, allow_stdin)\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel/ipkernel.py\", line 208, in do_execute\n", - " res = shell.run_cell(code, store_history=store_history, silent=silent)\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/ipykernel/zmqshell.py\", line 537, in run_cell\n", - " return super(ZMQInteractiveShell, self).run_cell(*args, **kwargs)\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/IPython/core/interactiveshell.py\", line 2714, in run_cell\n", - " interactivity=interactivity, compiler=compiler, result=result)\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/IPython/core/interactiveshell.py\", line 2818, in run_ast_nodes\n", - " if self.run_code(code, result):\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/IPython/core/interactiveshell.py\", line 2878, in run_code\n", - " exec(code_obj, self.user_global_ns, self.user_ns)\n", - " File \"\", line 3, in \n", - " import matplotlib.pyplot as plt\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/matplotlib/pyplot.py\", line 71, in \n", - " from matplotlib.backends import pylab_setup\n", - " File \"/home/woodn/.conda/envs/chemtools/lib/python2.7/site-packages/matplotlib/backends/__init__.py\", line 16, in \n", - " line for line in traceback.format_stack()\n", - "\n", - "\n", - " matplotlib.use('agg')\n" - ] } ], "source": [ @@ -176,7 +103,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ @@ -218,7 +145,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 22, "metadata": { "scrolled": true }, @@ -256,7 +183,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 23, "metadata": {}, "outputs": [], "source": [ @@ -289,7 +216,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -320,7 +247,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 25, "metadata": {}, "outputs": [ { @@ -347,154 +274,109 @@ "plt.show()" ] }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[ 0.72091656 0.68034089 0.62785585 ... -0.69419164 -0.69700773\n", - " -0.69671635]\n", - "[[-11.15737795 -4.13120126]\n", - " [-11.15737795 -3.83120126]\n", - " [-11.15737795 -3.53120126]\n", - " ...\n", - " [ 1.14262205 7.56879874]\n", - " [ 1.14262205 7.86879874]\n", - " [ 1.14262205 8.16879874]]\n" - ] - } - ], - "source": [ - "print(rot_proj_gradients[:,1])\n", - "print(grid_2d)" - ] - }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Generation of a Contour Plot \n", - "\n", - "Contour plots convert a 3D function to 2D and are usued to represent the change in a specific axis given the other variables are held constant. Each contour line is a *level curve* which represents points that share the same z coordinate. " + "## Consolidation of Gradient Vector Plot into Function plotVectorFieldOverPlane()\n", + "The plotting of the gradient vector field has been consolidated into a function for ease of use and modularity " ] }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 26, "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "'\\nx= grid_2d[:,0]\\ny = grid_2d[:,1]\\nX, Y = np.meshgrid(x, y)\\nZ = mol.compute_density(grid_plane)\\ngradients = Z\\nproj_gradients = gradients - np.dot(gradients, normal)[:, np.newaxis] * normal\\n\\nprint(Z)\\n\\n\\nplt.figure(figsize=(10,10))\\nplt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\\nplt.legend()\\nplt.contour(X,Y,Z)\\n#plt.contourf(X,Y,Z, cmap=\\'Reds\\')\\n\\nplt.show()\\n'" - ] - }, - "execution_count": 53, - "metadata": {}, - "output_type": "execute_result" + "ename": "SyntaxError", + "evalue": "invalid syntax (, line 115)", + "output_type": "error", + "traceback": [ + "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m115\u001b[0m\n\u001b[0;31m plt.savefig(f\"{imageName}.png\")\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" + ] } ], "source": [ - "coord1 = coord[0] \n", - "coord2 = coord[1]\n", - "coord3 = coord[2]\n", - "\n", - "v1, v2 = coord2 - coord1, coord3 - coord1\n", - "normal = np.cross(v1, v2)\n", - "normal /= np.linalg.norm(normal)\n", - "\n", - "\n", - "'''\n", - "x= grid_2d[:,0]\n", - "y = grid_2d[:,1]\n", - "X, Y = np.meshgrid(x, y)\n", - "Z = mol.compute_density(grid_plane)\n", - "gradients = Z\n", - "proj_gradients = gradients - np.dot(gradients, normal)[:, np.newaxis] * normal\n", - "\n", - "print(Z)\n", - "\n", - "\n", - "plt.figure(figsize=(10,10))\n", - "plt.plot(rot_coords[:, 0], rot_coords[:, 1], \"ro\", label=\"Molecular Coordinates\")\n", - "plt.legend()\n", - "plt.contour(X,Y,Z)\n", - "#plt.contourf(X,Y,Z, cmap='Reds')\n", - "\n", - "plt.show()\n", - "'''" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "def plotVectorFieldOverPlane(coord1,coord2,coord3,step_size=0.32, title=''):\n", + "def plotVectorFieldOverPlane(inFile,step_size=0.32, title=''):\n", " \"\"\"\n", + " This script will plot a vector quality of a molecule as a gradient plot\n", + " \n", + " CONDA ENVIRONMENT\n", + " This function must be executed in a conda environment containing: \n", + " chemtools\n", + " \n", + " link to configuring chemtools can be found here\n", + " \n", + " https://chemtools.org/usr_doc_installation.html\n", + " \n", + " Numpy\n", + " MatPlotLib \n", + " \n", " PARAMETERS\n", " \n", - " coord1 : np.ndarray(3,)\n", + " coord1 : np.ndarray()\n", " First point on plane \n", " \n", - " coord2 : np.ndarray(3,) \n", + " coord2 : np.ndarray() \n", " Second Point on plane\n", " \n", - " coord3 : np.ndarray(3,)\n", - " Third Point on Plane\n", + " coord3 : np.ndarray() \n", + " Third Point on plane\n", " \n", - " vectorFunct : callabel() \n", + " normal : np.cross()\n", + " orthonormalization of coordinates\n", + " \n", + " vectorFunc : callabel() \n", " Vector Field that inputs 3D point to 3D point \n", + " In this example, vectorFunc is mol.compute_gradient()\n", + " \n", " \n", " stepSize : float\n", " Step Size of 2D Affine Grid\n", - " \n", + " \n", " title : str\n", - " Title\n", + " Title of plot\n", " \n", " color : str\n", " Color of Gradient Arrows \n", " \n", - " _rotate_3d(normal) : helper function\n", - " this function consoliates the rotation matrix operation \n", + " scale : int\n", + " Scale of Gradient Arrows\n", " \"\"\"\n", + " # DEPENDENCIES\n", + " import numpy as np\n", + "\n", + " import matplotlib.pyplot as plt\n", + " from mpl_toolkits import mplot3d\n", "\n", + " from chemtools import Molecule\n", + " #END DEPENDENCIES\n", + " \n", + " mol = Molecule.from_file(inFile)\n", + " coord = mol.coordinates\n", + " coord1 = coord[0] \n", + " coord2 = coord[1]\n", + " coord3 = coord[2]\n", + " \n", " v1, v2 = coord2 - coord1, coord3 - coord1\n", " normal = np.cross(v1, v2)\n", " normal /= np.linalg.norm(normal)\n", "\n", " a, b, c = normal\n", " \n", - " def _rotate_3d(normal):\n", - " \"\"\"\n", - " This function is intended to consolitate the rotate \n", - " and scale operation of the matrix\n", - " \"\"\"\n", - " a,b,c = normal\n", - " cos_theta = c\n", - " sin_theta = np.sqrt(a**2.0 + b**2.0)\n", - " u_1 = b / np.sqrt(a**2.0 + b**2.0)\n", - " u_2 = -a / np.sqrt(a**2.0 + b**2.0)\n", - " rot = np.array([\n", + " \n", + " a,b,c = normal\n", + " cos_theta = c\n", + " sin_theta = np.sqrt(a**2.0 + b**2.0)\n", + " u_1 = b / np.sqrt(a**2.0 + b**2.0)\n", + " u_2 = -a / np.sqrt(a**2.0 + b**2.0)\n", + " rot = np.array([\n", + " \n", " [cos_theta + u_1**2.0 * (1 - cos_theta), u_1 * u_2 * (1 - cos_theta), u_2 * sin_theta],\n", " [u_1 * u_2 * (1 - cos_theta), cos_theta + u_2**2.0 * (1 - cos_theta), -u_1 * sin_theta],\n", " [-u_2 * sin_theta, u_1 * sin_theta, cos_theta]\n", " \n", " ])\n", - " return rot\n", - " _rotate_3d(normal)\n", " rot_coords = np.dot(rot, (coord - coord[0]).T).T\n", "\n", "\n", @@ -527,21 +409,36 @@ " plt.legend()\n", " \n", " plt.title(title)\n", - " plt.show()\n", - "\n", " \n", - " " + " imageName = inFile[:-5]\n", + " plt.savefig(f\"{imageName}.png\")" ] }, { "cell_type": "code", - "execution_count": 122, + "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ + "Initialized: \n", + " Number of basis functions : 219\n", + " Number of normalization constants : 453\n", + " Maximum shell type : 2\n", + " Center 0 : S9 S8 S8 S1 S1 P6 P6 P1 P1 Dp1 Dp1\n", + " Center 1 : S9 S8 S8 S1 S1 P6 P6 P1 P1 Dp1 Dp1\n", + " Center 2 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 3 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 4 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 5 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 6 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 7 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 8 : S3 S1 S1 P1 P1\n", + " Center 9 : S3 S1 S1 P1 P1\n", + " Center 10 : S3 S1 S1 P1 P1\n", + "\n", "[-11.15737795 -4.13120126 -1.00005684]\n", "[[ 1.70982687e-05 5.10868096e-04 -6.55691344e-09]\n", " [-1.04931053e-05 7.99884048e-04 -1.16055706e-08]\n", @@ -566,44 +463,113 @@ } ], "source": [ - "plotVectorFieldOverPlane(coord[0],coord[1],coord[2],step_size=0.25, title='Gradient Vector Field of Electrostatic Density')" + "import numpy as np\n", + "\n", + "import matplotlib.pyplot as plt\n", + "from mpl_toolkits import mplot3d\n", + "# mpl_toolkits.mplot3d import Axes3D\n", + "\n", + "from chemtools import Molecule\n", + "\n", + "inFile = 'dichloropyridine26_q+0.fchk'\n", + "\n", + "plotVectorFieldOverPlane(inFile,step_size=0.25, title='Gradient Vector Field of Electrostatic Density')" ] }, { - "cell_type": "code", - "execution_count": 77, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ + "# Plotting Scalar Qualities of Molecules using Contour Plots\n", "\n", - "coord1 = coord[0]\n", - "coord2 = coord[1]\n", - "coord3 = coord[2]\n", + "## Introduction\n", + "\n", + "Scalar qualities, such as electron density, cannot be visualized as a gradient field. Instead, we can represent these qualities as level curves of a contour plot\n", + "\n", + "## Rotation Matrix\n", + "Much like the previous function detailing the creating of a 3D rotation matrix to rotate our affine plane, for scalar qualities, we will use a 2D Rotation matrix instead.\n", + "\n", + "## Computing our Qualities Against the Affine Plane\n", + "In this example, we use `mol.compute_density()` to compute electron density against the affine plane. \n", + "\n", + "\n", + "## Plotting our Scalar Values\n", + "\n", + "Once rotated and computed, we can now initialize a figure and visualize our contour plot. " + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "ename": "SyntaxError", + "evalue": "invalid syntax (, line 96)", + "output_type": "error", + "traceback": [ + "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m96\u001b[0m\n\u001b[0;31m plt.savefig(f\"{fileName}.png\")\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" + ] + } + ], + "source": [ "\n", - "def plotScalarFunctionContourPlot(coord1, coord2, coord3,step_size=0.3):\n", + "def plotScalarFunctionContourPlot(inFile, step_size=0.3, title= 'Contour Plot'):\n", + " \"\"\"\n", + " This script will plot a vector quality of a molecule as a gradient plot\n", + " \n", + " CONDA ENVIRONMENT\n", + " This function must be executed in a conda environment containing: \n", + " chemtools\n", + " \n", + " link to configuring chemtools can be found here\n", + " \n", + " https://chemtools.org/usr_doc_installation.html\n", + " \n", + " Numpy\n", + " MatPlotLib \n", + " PARAMETERS\n", + " \n", + " inFile, str\n", + " This represents our input Gaussian Checkpoint *.fchk file\n", + " \n", + " mol, chemtools object\n", + " load inFile as chemtools Molecule module\n", + " \n", + " coord, chemtools API Call\n", + " cartesian coordinates of inFile\n", + " \n", + " rot, np.array()\n", + " Rotation Matrix used to rotate affine plane and normalize for plotting of scalarFunc\n", + " \n", + " \"\"\"\n", + " # Obtain Cartesian Coordinates\n", + " mol = Molecule.from_file(inFile)\n", + " coord = mol.coordinates\n", + " coord1 = coord[0] \n", + " coord2 = coord[1]\n", + " coord3 = coord[2]\n", + "\n", + " # Orthonormalization\n", " v1, v2 = coord1 - coord3, coord2 - coord3\n", " normal = np.cross(v1, v2)\n", " normal /= np.linalg.norm(normal)\n", " print(\"Orthonormal : \")\n", " a, b, c = normal\n", - " def _get_rotation_matrix_to_xy_plane(normal): \n", - " \"\"\"\n", - " This function is designed to consolidate a 2D rotate \n", - " operation, returning rot, which can then be used \n", - " to determine the rotated coordinates by computing the dot \n", - " product \n", - " \"\"\"\n", - " a,b,c = normal\n", - " costheta = c\n", - " sintheta = np.sqrt(a**2.0 + b**2.0)\n", - " x = u_1 = b / np.sqrt(a**2.0 + b**2.0)\n", - " y = u_2 = -a / np.sqrt(a**2.0 + b**2.0)\n", - "\n", - " cos, sin = np.cos(costheta), np.sin(sintheta)\n", - " rot = np.matrix([[cos, sin], [-sin, cos]]) # 2D Rotate \n", - "\n", - " return rot\n", - " _get_rotation_matrix_to_xy_plane(normal)\n", + " \n", + " # This represents our Rotate and Scale Operation,\n", + " cos_theta = c\n", + " sin_theta = np.sqrt(a**2.0 + b**2.0)\n", + " u_1 = b / np.sqrt(a**2.0 + b**2.0)\n", + " u_2 = -a / np.sqrt(a**2.0 + b**2.0)\n", + " rot = np.array([\n", + " [cos_theta + u_1**2.0 * (1 - cos_theta), u_1 * u_2 * (1 - cos_theta), u_2 * sin_theta],\n", + " [u_1 * u_2 * (1 - cos_theta), cos_theta + u_2**2.0 * (1 - cos_theta), -u_1 * sin_theta],\n", + " [-u_2 * sin_theta, u_1 * sin_theta, cos_theta]\n", + " ])\n", + " \n", + " \n", + " \n", " print(\"Rotation Operation: \")\n", " print(rot)\n", "\n", @@ -617,38 +583,59 @@ " y_grid = np.arange(l_bnd[1], u_bnd[1] + step_size, step_size)\n", " grid_2d = np.array(np.meshgrid(x_grid, y_grid)).T.reshape(-1,2)\n", " \n", - "\n", + " # fill grid space with zeros to later populate with scalarFunc\n", " grid_zeros = np.hstack((grid_2d, np.zeros((grid_2d.shape[0], 1), dtype=np.float)))\n", " grid_plane = np.einsum(\"ij,kj->ki\", rot.T, grid_zeros)\n", " grid_plane += coord[0]\n", " print(\"Grid Plane:\")\n", " print(grid_plane)\n", "\n", + " # setup x,y for contour plot \n", " x = grid_2d[:,0]\n", " y = grid_2d[:,1]\n", " xy = np.meshgrid(grid_2d[:,0],grid_2d[:,1])\n", " \n", " scalarFunc = mol.compute_density(grid_plane)\n", - " \n", + "\n", + " # establish number of level curves\n", " levels = np.array([0.001 * n * n for n in range(1000)])\n", + " \n", + " # reshape level curves array to resemble length of x and y , with Fortran style iteration\n", " scalarFuncPlot = scalarFunc.reshape((len(x_grid), len(y_grid)), order=\"F\")\n", " plt.figure(figsize=(10,10))\n", " plt.title(\"Contour Plot of Electrostatic Density\")\n", "\n", " plt.contour(x_grid,y_grid,scalarFuncPlot, levels )\n", - "\n", - " plt.show()" + " fileName = inFile[:-5]\n", + " \n", + " plt.savefig(f\"{fileName}.png\")" ] }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ + "Initialized: \n", + " Number of basis functions : 219\n", + " Number of normalization constants : 453\n", + " Maximum shell type : 2\n", + " Center 0 : S9 S8 S8 S1 S1 P6 P6 P1 P1 Dp1 Dp1\n", + " Center 1 : S9 S8 S8 S1 S1 P6 P6 P1 P1 Dp1 Dp1\n", + " Center 2 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 3 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 4 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 5 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 6 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 7 : S7 S7 S1 S1 P3 P1 P1 Dp1 Dp1\n", + " Center 8 : S3 S1 S1 P1 P1\n", + " Center 9 : S3 S1 S1 P1 P1\n", + " Center 10 : S3 S1 S1 P1 P1\n", + "\n", "Orthonormal : \n", "Rotation Operation: \n", "[[-6.97331320e-01 7.16748929e-01 -4.77061362e-05]\n", @@ -656,8 +643,8 @@ " [ 4.77061362e-05 -2.01453432e-05 -9.99999999e-01]]\n", "Rotation Coordinates: \n", "[[ 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n", - " [-6.90578162e+00 7.09758945e+00 3.32933254e-20]\n", - " [-3.78908149e+00 3.22168550e+00 6.49732457e-21]\n", + " [-6.90578162e+00 7.09758945e+00 1.38194199e-19]\n", + " [-3.78908149e+00 3.22168550e+00 6.83567008e-21]\n", " [-7.55924902e+00 -4.46580843e-01 -2.63191882e-05]\n", " [-5.01995578e+00 -1.16084361e+00 -2.95672968e-05]\n", " [-8.20369267e+00 2.11132954e+00 -7.37073181e-07]\n", @@ -690,7 +677,10 @@ } ], "source": [ - "plotScalarFunctionContourPlot(coord1, coord2, coord3,step_size=0.3)" + "inFile = 'dichloropyridine26_q+0.fchk'\n", + "\n", + "\n", + "plotScalarFunctionContourPlot(inFile,step_size=0.3, title='Contour Plot' )" ] }, { From df02ab26bf4a4fe704eb4cd5209e58d59bb8b9cf Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 15:13:08 -0400 Subject: [PATCH 081/126] Update README.md --- README.md | 15 +++++++++++++++ 1 file changed, 15 insertions(+) diff --git a/README.md b/README.md index c12914b8..af6ce2b3 100644 --- a/README.md +++ b/README.md @@ -8,6 +8,14 @@ All work pertaining to objectives has been linked within the Results section. ## Introduction +OpenChem wishes to implement a means of visualizing Chemtools data. Such +means include exploring viable alternatives to Visualizing Molecular +Dynamics as a visualization platfrom. Further visualization goals +include the plotting of gradient vector fields and annotation of +molecules. Additionally, ChimeraX, developed by the University of +California, San Francisco, was chosen as a general purpose alternative +for VMD, with regards to visualizing isosurfaces as well as molecular +annotations. ## Goals @@ -148,6 +156,13 @@ and the RDKit visualization is complete. ### Administrative ### Converting IOData Output into Chemical JSON +In order to improve interoperability with Avogadro2, it will be +necessary to be able to output IOData and Chemtools data into a +\"Chemical JSON\" a form of JSON file that outlines chemical information +such as bonds, atoms, as well as charge and molecular/atomic orbital +data. While the formatting of basic data such as bonds and atoms is +nontrivial, considerable work will have to be done to correctly format +quantum chemistry data. ### Molecular Graphs From 733ef2f8bc2f3dce7988b1a3016dda03529b3ffd Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 15:39:51 -0400 Subject: [PATCH 082/126] Update README.md --- README.md | 14 ++++++++++++++ 1 file changed, 14 insertions(+) diff --git a/README.md b/README.md index af6ce2b3..835f907c 100644 --- a/README.md +++ b/README.md @@ -150,6 +150,20 @@ and the RDKit visualization is complete. ### Discrepancies between VMD and ChimeraX +There is a discrepancy between appropriate values to display isosurface +levels between both ChimeraX and VMD. For the example +2,6-dichloropyridine, the previous VMD example recommends setting +`isoSurf` to .003, however, in ChimeraX, this will produce a noticeable +uncolored void that can be corrected when setting `isoSurf` to .005. + +::: center +![Example of Volume discrepancy, .003 (left) and .005 (right) in +ChimeraX Rainbow Palette](vmdfail.png "fig:"){width="2in"} ![Example of +Volume discrepancy, .003 (left) and .005 (right) in ChimeraX Rainbow +Palette](vmdcorrect.png "fig:"){width="1.925in"} +::: + + ### Molecular Graphs ## Moving Forward From e367e51234c2a14dccb84c4a85d3f4ecd82f176a Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 15:40:27 -0400 Subject: [PATCH 083/126] Add files via upload --- vmdcorrect.png | Bin 0 -> 100259 bytes vmdfail.png | Bin 0 -> 90601 bytes 2 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 vmdcorrect.png create mode 100644 vmdfail.png diff --git a/vmdcorrect.png 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Once loaded, ChimeraX can visualize the B Factor using its labeling utilities. +::: center +![3D Annotation of 2,6-Dichloropyridine With Electrostatic Potential +Charges](3dannotate.png){width="3in"} +::: + + ### 2D Annotation of Molecules IOData is used to dump an XYZ and PDB files from the original Gaussian @@ -100,6 +106,12 @@ visualization stile of the afforementioned SMILES string using `AssignBondOrdersFromTemplate`. Afterwards, the charges from IOData can be assigned iteratively. +::: center +![2D Annotation of 2,6-Dichloropyridine, Using Electrostatic Potential +Charges](test11.png){width="3in"} +::: + + ### Plotting of Vector and Scalar Qualities of Molecules Jupyter Notebook of Both Vector and Scalar Qualities @@ -147,6 +159,11 @@ the following error Despite this error, IOData still dumps the necessary XYZ and PDB Files, and the RDKit visualization is complete. +::: center +![Acrolein, Annotated Using IOData Derived Electrostatic Potential +Charges](acroleinerror.png){width="3in"} +::: + ### Discrepancies between VMD and ChimeraX From 98011bdecad96bebebca6575ab9c5c812c235a92 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 15:53:36 -0400 Subject: [PATCH 086/126] Update README.md --- README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 024f047b..e6b73cd2 100644 --- a/README.md +++ b/README.md @@ -82,8 +82,8 @@ loaded into ChimeraX. Once loaded, ChimeraX can visualize the B Factor using its labeling utilities. ::: center -![3D Annotation of 2,6-Dichloropyridine With Electrostatic Potential -Charges](3dannotate.png){width="3in"} +3D Annotation with ESP Charges of 2,6-dichloropyridine + ::: From 88e5ff8d3adc591d43b6a6b1ef438a1b8e576826 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 15:56:23 -0400 Subject: [PATCH 087/126] Update README.md --- README.md | 19 ++++++++----------- 1 file changed, 8 insertions(+), 11 deletions(-) diff --git a/README.md b/README.md index e6b73cd2..7edb552b 100644 --- a/README.md +++ b/README.md @@ -81,11 +81,9 @@ Factors when an intermediate PDB file is opened using IOData function loaded into ChimeraX. Once loaded, ChimeraX can visualize the B Factor using its labeling utilities. -::: center +
3D Annotation with ESP Charges of 2,6-dichloropyridine - -::: - +
### 2D Annotation of Molecules @@ -106,11 +104,10 @@ visualization stile of the afforementioned SMILES string using `AssignBondOrdersFromTemplate`. Afterwards, the charges from IOData can be assigned iteratively. -::: center -![2D Annotation of 2,6-Dichloropyridine, Using Electrostatic Potential -Charges](test11.png){width="3in"} -::: +
+2D Annotation with ESP Charges of 2,6-dichloropyridine +
### Plotting of Vector and Scalar Qualities of Molecules Jupyter Notebook of Both Vector and Scalar Qualities @@ -173,12 +170,12 @@ levels between both ChimeraX and VMD. For the example `isoSurf` to .003, however, in ChimeraX, this will produce a noticeable uncolored void that can be corrected when setting `isoSurf` to .005. -::: center -![Example of Volume discrepancy, .003 (left) and .005 (right) in +
+ ![Example of Volume discrepancy, .003 (left) and .005 (right) in ChimeraX Rainbow Palette](vmdfail.png "fig:"){width="2in"} ![Example of Volume discrepancy, .003 (left) and .005 (right) in ChimeraX Rainbow Palette](vmdcorrect.png "fig:"){width="1.925in"} -::: +
From 0084be5cfd47abedbc259910c06728c1daae2e7f Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 16:05:42 -0400 Subject: [PATCH 088/126] Update README.md --- README.md | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 7edb552b..a3b8d59d 100644 --- a/README.md +++ b/README.md @@ -61,7 +61,8 @@ Environment: and `scalemax` parameters within the script ### 3D Annotation of Molecules - +[Jupyter Notebook of 3D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_3D/3DimensionAnnotation.ipynb) +[Python Script of 3D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_3D/3DimensionAnnotation.py) IOData can output to Protein Data Bank (PDB) files, a text file that enumerates monomer and a atomic data, such as element, XYZ cartesian @@ -86,6 +87,8 @@ using its labeling utilities. ### 2D Annotation of Molecules +[Jupyter Notebook of 2D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_2D/2DAnnotate.ipynb) +[Python Script of 2D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_2D/2DAnnotate.py) IOData is used to dump an XYZ and PDB files from the original Gaussian Checkpoint (fchk) file. XYZ files are capable of being converted to From 33540e5c7b70c861281bce7abade81faff40f1b4 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 20 Aug 2021 16:14:52 -0400 Subject: [PATCH 089/126] separated into individual functions --- examples/plotting/plotScalarContour.py | 103 +++++++++++++++++++++ examples/plotting/plotVectorField.py | 120 +++++++++++++++++++++++++ 2 files changed, 223 insertions(+) create mode 100644 examples/plotting/plotScalarContour.py create mode 100644 examples/plotting/plotVectorField.py diff --git a/examples/plotting/plotScalarContour.py b/examples/plotting/plotScalarContour.py new file mode 100644 index 00000000..cbdea908 --- /dev/null +++ b/examples/plotting/plotScalarContour.py @@ -0,0 +1,103 @@ +import numpy as np +import matplotlib.pyplot as plt +from mpl_toolkits import mplot3d +from chemtools import Molecule +def plotScalarFunctionContourPlot(inFile, step_size=0.3, title= 'Contour Plot'): + """ + This script will plot a vector quality of a molecule as a gradient plot + + CONDA ENVIRONMENT + This function must be executed in a conda environment containing: + chemtools + + link to configuring chemtools can be found here + + https://chemtools.org/usr_doc_installation.html + + Numpy + MatPlotLib + PARAMETERS + + inFile, str + This represents our input Gaussian Checkpoint *.fchk file + + mol, chemtools object + load inFile as chemtools Molecule module + + coord, chemtools API Call + cartesian coordinates of inFile + + rot, np.array() + Rotation Matrix used to rotate affine plane and normalize for plotting of scalarFunc + + """ + # Obtain Cartesian Coordinates + mol = Molecule.from_file(inFile) + coord = mol.coordinates + coord1 = coord[0] + coord2 = coord[1] + coord3 = coord[2] + + # Orthonormalization + v1, v2 = coord1 - coord3, coord2 - coord3 + normal = np.cross(v1, v2) + normal /= np.linalg.norm(normal) + print("Orthonormal : ") + a, b, c = normal + + # This represents our Rotate and Scale Operation, + cos_theta = c + sin_theta = np.sqrt(a**2.0 + b**2.0) + u_1 = b / np.sqrt(a**2.0 + b**2.0) + u_2 = -a / np.sqrt(a**2.0 + b**2.0) + rot = np.array([ + [cos_theta + u_1**2.0 * (1 - cos_theta), u_1 * u_2 * (1 - cos_theta), u_2 * sin_theta], + [u_1 * u_2 * (1 - cos_theta), cos_theta + u_2**2.0 * (1 - cos_theta), -u_1 * sin_theta], + [-u_2 * sin_theta, u_1 * sin_theta, cos_theta] + ]) + + + + print("Rotation Operation: ") + print(rot) + + rot_coords = np.dot(rot, (coord - coord[0]).T).T + print("Rotation Coordinates: ") + print(rot_coords) + l_bnd = np.min(rot_coords, axis=0) - 1 + u_bnd = np.max(rot_coords, axis=0) + 1 + + x_grid = np.arange(l_bnd[0], u_bnd[0] + step_size, step_size) + y_grid = np.arange(l_bnd[1], u_bnd[1] + step_size, step_size) + grid_2d = np.array(np.meshgrid(x_grid, y_grid)).T.reshape(-1,2) + + # fill grid space with zeros to later populate with scalarFunc + grid_zeros = np.hstack((grid_2d, np.zeros((grid_2d.shape[0], 1), dtype=np.float))) + grid_plane = np.einsum("ij,kj->ki", rot.T, grid_zeros) + grid_plane += coord[0] + print("Grid Plane:") + print(grid_plane) + + # setup x,y for contour plot + x = grid_2d[:,0] + y = grid_2d[:,1] + xy = np.meshgrid(grid_2d[:,0],grid_2d[:,1]) + + scalarFunc = mol.compute_density(grid_plane) + + # establish number of level curves + levels = np.array([0.001 * n * n for n in range(1000)]) + + # reshape level curves array to resemble length of x and y , with Fortran style iteration + scalarFuncPlot = scalarFunc.reshape((len(x_grid), len(y_grid)), order="F") + plt.figure(figsize=(10,10)) + plt.contour(x_grid,y_grid,scalarFuncPlot, levels ) + plt.title("Contour Plot of Electrostatic Density") + + plt.show() + #END FUNCTION + + +inFile = 'dichloropyridine26_q+0.fchk' + +plotScalarFunctionContourPlot(inFile, step_size=0.3, title= 'Contour Plot') diff --git a/examples/plotting/plotVectorField.py b/examples/plotting/plotVectorField.py new file mode 100644 index 00000000..0bc14c4a --- /dev/null +++ b/examples/plotting/plotVectorField.py @@ -0,0 +1,120 @@ +def plotVectorFieldOverPlane(inFile,step_size=0.32, title='Plot of Vector Field'): + """ + This script will plot a vector quality of a molecule as a gradient plot + + CONDA ENVIRONMENT + This function must be executed in a conda environment containing: + chemtools + + link to configuring chemtools can be found here + + https://chemtools.org/usr_doc_installation.html + + Numpy + MatPlotLib + + PARAMETERS + + coord1 : np.ndarray() + First point on plane + + coord2 : np.ndarray() + Second Point on plane + + coord3 : np.ndarray() + Third Point on plane + + normal : np.cross() + orthonormalization of coordinates + + vectorFunc : callabel() + Vector Field that inputs 3D point to 3D point + In this example, vectorFunc is mol.compute_gradient() + + + stepSize : float + Step Size of 2D Affine Grid + + title : str + Title of plot + + color : str + Color of Gradient Arrows + + scale : int + Scale of Gradient Arrows + """ + # DEPENDENCIES + import numpy as np + + import matplotlib.pyplot as plt + from mpl_toolkits import mplot3d + + from chemtools import Molecule + #END DEPENDENCIES + + mol = Molecule.from_file(inFile) + coord = mol.coordinates + coord1 = coord[0] + coord2 = coord[1] + coord3 = coord[2] + + v1, v2 = coord2 - coord1, coord3 - coord1 + normal = np.cross(v1, v2) + normal /= np.linalg.norm(normal) + + a, b, c = normal + + + a,b,c = normal + cos_theta = c + sin_theta = np.sqrt(a**2.0 + b**2.0) + u_1 = b / np.sqrt(a**2.0 + b**2.0) + u_2 = -a / np.sqrt(a**2.0 + b**2.0) + rot = np.array([ + + [cos_theta + u_1**2.0 * (1 - cos_theta), u_1 * u_2 * (1 - cos_theta), u_2 * sin_theta], + [u_1 * u_2 * (1 - cos_theta), cos_theta + u_2**2.0 * (1 - cos_theta), -u_1 * sin_theta], + [-u_2 * sin_theta, u_1 * sin_theta, cos_theta] + + ]) + rot_coords = np.dot(rot, (coord - coord[0]).T).T + + + l_bnd = np.min(rot_coords, axis=0) - 1 + u_bnd = np.max(rot_coords, axis=0) + 1 + print(l_bnd) + + x_grid = np.arange(l_bnd[0], u_bnd[0] + step_size, step_size) + y_grid = np.arange(l_bnd[1], u_bnd[1] + step_size, step_size) + grid_2d = np.array(np.meshgrid(x_grid, y_grid)).T.reshape(-1,2) + + # Add zero z-axis and rotate it and translate it to the plane + grid_zeros = np.hstack((grid_2d, np.zeros((grid_2d.shape[0], 1), dtype=np.float))) + grid_plane = np.einsum("ij,kj->ki", rot.T, grid_zeros) + grid_plane += coord[0] + + vectorFunc = mol.compute_gradient(grid_plane) + gradients = vectorFunc + print(gradients) + + proj_gradients = gradients - np.dot(gradients, normal)[:, np.newaxis] * normal + rot_proj_gradients = np.dot(rot, proj_gradients.T).T + + # Rotate Projected Plane. + rot_proj_gradients /= np.linalg.norm(rot_proj_gradients, axis=1).reshape((-1, 1)) + plt.figure(figsize=(10,10)) + plt.quiver(grid_2d[:, 0], grid_2d[:, 1], + rot_proj_gradients[:, 0], rot_proj_gradients[:, 1],color='black', scale=45) + plt.plot(rot_coords[:, 0], rot_coords[:, 1], "ro", label="Molecular Coordinates") + plt.legend() + + plt.title(title) + + plt.show() + + #END FUNCTION + +inFile = 'dichloropyridine26_q+0.fchk' + +plotVectorFieldOverPlane(inFile,step_size=0.32, title='Plot of Vector Field') From 6a9b876cd9939be38f4a4bdbe901a9c25cdf10b2 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 16:15:45 -0400 Subject: [PATCH 090/126] Update README.md --- README.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/README.md b/README.md index a3b8d59d..feb65a0e 100644 --- a/README.md +++ b/README.md @@ -113,11 +113,11 @@ be assigned iteratively. ### Plotting of Vector and Scalar Qualities of Molecules -Jupyter Notebook of Both Vector and Scalar Qualities +[Jupyter Notebook of Both Vector and Scalar Qualities](https://github.com/nwoodweb/chemtools/blob/master/examples/plotting/2D_Plotting_Gradient.ipynb) -Python Script of Field Plot +[Python Script of Field Plot](https://github.com/nwoodweb/chemtools/blob/master/examples/plotting/plotVectorField.py) -Python Script of Contour Plot +[Python Script of Contour Plot](https://github.com/nwoodweb/chemtools/blob/master/examples/plotting/plotScalarContour.py) A Jupyter Notebook and function `plotVectorFieldOverPlane` were made that is capable of plotting gradient vector fields. This was performed From f643156ba5040dc22ea2e43b27516b6088c96b07 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 16:30:20 -0400 Subject: [PATCH 091/126] Update README.md --- README.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/README.md b/README.md index feb65a0e..daf472aa 100644 --- a/README.md +++ b/README.md @@ -163,7 +163,7 @@ and the RDKit visualization is complete. ![Acrolein, Annotated Using IOData Derived Electrostatic Potential Charges](acroleinerror.png){width="3in"} ::: - +Acrolein Visualization despite IOData error ### Discrepancies between VMD and ChimeraX @@ -173,12 +173,12 @@ levels between both ChimeraX and VMD. For the example `isoSurf` to .003, however, in ChimeraX, this will produce a noticeable uncolored void that can be corrected when setting `isoSurf` to .005. -
+ + ![Example of Volume discrepancy, .003 (left) and .005 (right) in ChimeraX Rainbow Palette](vmdfail.png "fig:"){width="2in"} ![Example of Volume discrepancy, .003 (left) and .005 (right) in ChimeraX Rainbow Palette](vmdcorrect.png "fig:"){width="1.925in"} -
From 3d3b86461f0c9b4424bf6c862422cdeb8bcd6d7a Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 16:33:21 -0400 Subject: [PATCH 092/126] Update README.md --- README.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/README.md b/README.md index daf472aa..7296fe3f 100644 --- a/README.md +++ b/README.md @@ -174,6 +174,8 @@ levels between both ChimeraX and VMD. For the example uncolored void that can be corrected when setting `isoSurf` to .005. +isoSurf=.003 AisoSurf=.005 + ![Example of Volume discrepancy, .003 (left) and .005 (right) in ChimeraX Rainbow Palette](vmdfail.png "fig:"){width="2in"} ![Example of From 6c01e67af4958522b1527be191edda099c2ca103 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 16:50:06 -0400 Subject: [PATCH 093/126] Add files via upload --- contour.png | Bin 0 -> 419658 bytes dichlorgradient.png | Bin 0 -> 288385 bytes 2 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 contour.png create mode 100644 dichlorgradient.png diff --git a/contour.png b/contour.png new file mode 100644 index 0000000000000000000000000000000000000000..0b43464bbb77bd0590b43c7f1b014aa55872c97c GIT binary patch literal 419658 zcmZU)by$>L)IB`3G)PJdBHbV*J%G~Pjff!9-Q6kDEz(`mCDPqUBMs8szcbJKzSsB1 zHOO$4ypoyz^j8Vg=fg%nM|V7J@5~rgZO*3 zXW-%a>_aH{8P)ckwgUu${v7rNH?ib>51!o_;c4Q 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Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 16:56:46 -0400 Subject: [PATCH 094/126] Delete examples/annotate directory --- examples/annotate/Annotate_2D.ipynb | 402 ------------------ examples/annotate/Annotate_3D.ipynb | 321 -------------- examples/annotate/Annotate_3D_Chimera.ipynb | 151 ------- examples/annotate/draw.py | 50 --- examples/annotate/molecular-visualizer.ipynb | 232 ---------- .../annotate/molecular_visualization.ipynb | 272 ------------ examples/annotate/test.defattr | 13 - examples/annotate/test.png | Bin 11782 -> 0 bytes examples/annotate/testNoChiral.png | Bin 10646 -> 0 bytes 9 files changed, 1441 deletions(-) delete mode 100644 examples/annotate/Annotate_2D.ipynb delete mode 100644 examples/annotate/Annotate_3D.ipynb delete mode 100644 examples/annotate/Annotate_3D_Chimera.ipynb delete mode 100644 examples/annotate/draw.py delete mode 100644 examples/annotate/molecular-visualizer.ipynb delete mode 100644 examples/annotate/molecular_visualization.ipynb delete mode 100644 examples/annotate/test.defattr delete mode 100644 examples/annotate/test.png delete mode 100644 examples/annotate/testNoChiral.png diff --git a/examples/annotate/Annotate_2D.ipynb b/examples/annotate/Annotate_2D.ipynb deleted file mode 100644 index 4a2963c2..00000000 --- a/examples/annotate/Annotate_2D.ipynb +++ /dev/null @@ -1,402 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "415389d5", - "metadata": {}, - "source": [ - "# 2D Annotations of Molecules \n", - "\n", - "## Introduction\n", - "The goal of this project is to render a 2 dimensional molecular drawing with annotations detailing a specific feature per atom. \n", - "\n", - "This example \n", - "\n", - "## Dependencies\n", - "1. IOData\n", - "2. Numpy\n", - "3. RDKit\n", - "4. Collections\n", - "5. CHEMML \n", - "6. Pandas\n", - "7. Glob \n", - "8. OS \n" - ] - }, - { - "cell_type": "code", - "execution_count": 85, - "id": "3744a11c", - "metadata": {}, - "outputs": [], - "source": [ - "# import required libraries\n", - "from iodata import load_one, dump_one\n", - "\n", - "import numpy as np\n", - "\n", - "from rdkit import Chem\n", - "from rdkit.Chem import AllChem \n", - "from rdkit.Chem import Draw\n", - "from rdkit.Chem.Draw import rdMolDraw2D\n", - "from rdkit.Chem.Draw import MolToImage\n", - "from rdkit.Chem import rdMolTransforms \n", - "from rdkit.Chem import PeriodicTable\n", - "from rdkit.Chem import rdmolfiles\n", - "from rdkit.Chem.Draw import DrawingOptions\n", - "\n", - "from IPython.display import SVG\n", - "from IPython.display import Image\n", - "\n", - "from collections import OrderedDict\n", - "\n", - "from chemml.chem import Molecule\n", - "\n", - "import pandas as pd\n", - "\n", - "import glob\n", - "import os" - ] - }, - { - "cell_type": "markdown", - "id": "055a3b9c", - "metadata": {}, - "source": [ - "## Manipulation of Input and Extraction of Charges \n", - "\n", - "We first want to open our file using IOData, designated `loadInput`, from then we can extract informations related to the `.fchk` file using IOData to annotate our molecule" - ] - }, - { - "cell_type": "code", - "execution_count": 86, - "id": "ee68d1a9", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Molecule Name : \n", - "dichloropyridine26_q+0\n", - " \n" - ] - } - ], - "source": [ - "inputName = 'dichloropyridine26_q+0.fchk'\n", - "loadInput = load_one(inputName) \n", - "\n", - "xyzName = 'dichloropyridine26_q+0.xyz'\n", - "\n", - "molName = xyzName[:-4]\n", - "\n", - "\n", - "print(\"Molecule Name : \")\n", - "print(molName)\n", - "print(\" \")\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "id": "9fb5b251", - "metadata": {}, - "source": [ - "## Manipulate Molecule to Create MOL Object\n", - "We need to dump our IOData loaded molecule into an `.xyz` file, which can then be parsed using `CHEMML`, to create a data table containing basic information such as filename, XYZ Cartesian Coordinates, and the SMILES equivalent of the molecule.\n", - "\n", - "We can then extract the SMILES string and convert into MOL Format for processing by RDKit. \n", - "\n", - "We can then use a series of commands `drawMolecule.*` to generate a visualization of our molecule. \n", - "\n", - "The below image is RDKit visualization without annotations. " - ] - }, - { - "cell_type": "code", - "execution_count": 87, - "id": "22744f1d", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[,\n", - " pybel_molecule : ,\n", - " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", - " smiles : 'Clc1cccc(Cl)n1',\n", - " smarts : None,\n", - " inchi : None,\n", - " xyz : )>]\n", - " \n", - "\n", - " Name SMILES\n", - "0 dichloropyridine26_q+0.xyz Clc1cccc(Cl)n1\n", - " \n", - "Our Molecule in SMILES format: \n", - "Clc1cccc(Cl)n1\n", - " \n" - ] - }, - { - "data": { - "image/png": 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QyXhBAX1XM+gc3FF4q1De7LqcybyceW4kmLeYByJMQ7i9f3tMc4zweqW0plTfi7CFQr7avp3HxIxPQgZjrZVXjEaekzP+fRbZ2Tzq1gl9jtFuNHQZhOOKXWSGLoPJHuhiq8CJG8LS/tKNtzb+7s7vvH9K3f262Zdmu6eY3/3sXfHKCysWi+f3u4i9LqqoiMvl499nEaUrZqdwwXpBe1krHGOyi7KC3gIHD9pHf/do98ZbGzfe2uj9J22gIewb7WsYaei3T/3+KcymqJpV3gzVM9qT3ZHtuvy7KMm5nmN2RMOXR/iks9NzqfvkdVFVVVyn4zod1+sfNW+5eDHX6fhPfjLF/6qo4ImJrr2o1dyLL9mJQjsHd6qaVcLxltSaVDXk7RdwjDpG223tTdYmi8My+f+Wm8qFMdf1rvNyQH9CaOf29TfXa9o07n6dEJt5V+Z5XPJ6GUI7txf0FkgvSoWhtJe17bZo+xolnzw6JL/4xXj/YNmyaQcRNpg//3M/9CbkM4frwGseP/AuW6ZdYNJkbcruyHbnVvgvtiV2WeeyibMVfoTQ578l8Dfz32a1zir7T9nA2ADn3P1zznjPaM/6W+uXdCx56Hzo/YC/H/h9QkvCPuM+J3MmyZMOaw/fWHzjydgnfS0smrz6Krt3jxUVMbmcWa3sjTdYRgb7xz+m2PKTT9hHH3k1ptXKvvtdtmgRa2tjjDG9nt28yY4dY/+9+XkmkjP5n+b+qfup7mx1NmOs+2H3kqtLVt1Ydd9532PL3O7cr3R8pdHaaOO2iT9/4Hzwycgn86/M32Xc5XcZvoWw3ly/8trKB84HjDG5RL48YfnOuTuPa4/vmbsnJzFHLpEzxi7bLn/t2te8Ge1Ty6cLriwo/KzQxm0yiawgvWBoydDqpNV+/DOi0rZt7M4dlpPDJBI2MMCef5499xwbGPDc7Ic/fPxQ773HUlLY8eOMc5aSwmpqWGsrmztXjKojzxPKJ84vOl+XVadRaDjjtcO1aW1pb91+y73B853Pn7h3QnicIc/YkLbh4LyDR7VHN2s2L1AuYIw5mGPjrY315no/K/D+s9vmsMW1xLlmeC9lGu1Gjw0G7ANfuPQFdYv6gvWC8JPpTkcnT1IN2SPkZkoK58/zuXNd55BVVeOno1lZrgcbNkzxLPfpqM3mmnqNieG/82GObCZyT8vPuzLP/RP3gTrlNOFe417JRcmKrhXC7I6414Rv3nrTfc/KlJeknHOzwzxxzndyCCe3a86PnPe+hpls926+ahXnE64JS0tdd8BJpbynx3P7ideEJSV89eogfJ3hTGBxWHJv5DaOuNbExbfGC8fq2p610z0lwGtCH/4+4SHTIeHBlowtaql6ym3ipfGPOMMtv1u+oXeD2WlmjMVJ43bM2fHT9J/68Kk9s23YwDZs+NxPZDL261+zt99mTid78UV25cq0z337bbGrix5qqbpaWy08PnLvyIhjhDEWK43d/8T+6Z4yVxnQmb2314RWp3XIMcQYk0qkmzI2+bGnJR1L1vSsMTvNMiZbl77u/tP3kcDAbdrEvvhFxhhrb2f7pz1IwE9/vvtn4cGyWcukov1Za2/H/fD+h8KD2bLZcr/+vu88xTzGmF6tv7n45t65e8X7J800f3YdJ+zNN9mDB6SlRJ1L1kvCg5UJK8Xbi7dJuPHghvBgjmKOf3uq1FY2LGxoXdQ6R+nnCDClr3+dLV3KGGM2G3v5ZeJiosywc1h48Fz8c+LtxdsQGsdcf1h8lmyWf3uKl8Z/Lc6r1gX46vhxJnz72Ycfsk8/pa4migjdOMZYhixDvL14G0KZRCY8cEqcohUDfkpKYlu3MsYY5+yll6iriSIS5vrqSicT8bD3NoSz5a6/Q3Tf4XkzAYSDX/6SzZnDGGO9vewPf6CuJlrEylxfJH3Lfku8vXgbwqdinxIe3H54W7RiICBHjzLhO4c3b2ZjY9TVRIUUWYrwoMHcIN5evA3hC4kvCB/NJofJ6rSKVxD47dlnWU4OY8x1uykE7hn1M8KDj8ze3aHrF29DKGfyDEUGY4xz/qs7vxKvIAjEkSNM+KOJH3xAXUpUWJu6VnhwfuS8T8sSfOJDs+5n6T8THpQOlv5n7D/i1AMBUavZ++8zxnA6GhzLZi1Llacyxuzc/v3u74u0Fx9C+E7GO2nyNKGgrH9ndT3omrzNzYc3dwzsCFp14LsNG9j8+dRFRJE/ZLqmuT68/+GanjVTTpOW3y3/p+Wffu/Ch3tfpExan1X/7NVn7dx+b+zeon8v0qv1Lya+uECxgDPebG3+yPzRjdEbEib5ceqPhbgCiRMn2JIlbMJiT/DfD1J+UD1cfXjoMGOs/G758eHjK+JXGBIMKbIUo9142nz69Mhpq9P61bivfrrQzxatbzegfVn15aaFTUuvLR1yDHHGW62trdZWj20449X3ql9Pe92/giBwixez732P/fWv1HVEi7/M/0u6LP2Ppj9yzkccI8eGjx0bPuaxzbUH1/we3+cbOJeol9zV3/3tF3+bFZMlrOJ1DSSRpspTv5XwrWZdszuBGrlGJVGlK9L9rg8me+stduYMO3OGrVkz7TYVFa5tampCWFn02v0/u28+dfPFxBeT5cnuDj5jLFYamxWTVfSFokH9oPCTZFmySqJSSVTe32Qj4QGftXz28DPcDgozitVptTqtwbrmCkIIASAQWE8EQAwhBCCGEAIQQwgBiCGEAMQQQgBiCCEAMYQQgBhCCEAMIQQghhACEEMIAYghhADEEEIAYgghADGEEIAYQghADCEEIIYQAhBDCAGIIYQAxBBCAGIIIQAxhBCAGEIIQAwhBCCGEAIQQwgBiCGEAMQQQgBiCCEAMYQQgBhCCEAMIQQghhACEEMIAYghhADEEEIAYgghADGEEIAYQghADCEEIIYQAhBDCAGIIYQAxBBCAGIIIQAxhBCAGEIIQAwhBCCGEAIQQwgBiCGEAMQQQgBiCCEAMYQQgBhCCEAMIQQghhACEEMIAYghhADEEEIAYgghADGEEIAYQghADCEEIIYQAhBDCAGIIYQAxBBCAGIIIQAxhBCAGEIIQOz/AcIuNhsKpL5sAAAAqXpUWHRyZGtpdFBLTCByZGtpdCAyMDIxLjAzLjQAAHice79v7T0GIOABYkYGCOCA4gZGQQYFkDibgwaQYmZhc8gA0cyM2BgQJVAd7BAuMzfQUEamDCYm5gRmlgwmFtYEVjYGVvYMJnbGBBFGNkZ2VhZmJnGYxQwcD93UDjAwTNgP4jx0WwakD+xDsCfYQ5RNUGNg+GAPFbeHiUPYMPVqDjBzGBgUlsHYYgDcsCK99G2f/gAAALp6VFh0TU9MIHJka2l0IDIwMjEuMDMuNAAAeJytkkEOwiAQRfec4l+gZJhKy6ytK2MXLryDiUvvH4ehEk01qQYygf8D8/IDOORxno7XO+rgyTkgWdHHEhFcmIj0HDr2UVLIKvjAkTKDvO4S9rdviNdypZdFcm9Hvh/fKfidgnWWzZRnh1HSv1nQJkuTe0GbN6r3sqbMW7NoCLY5G1U9sCumqMXoEqtRNVSjaqyAwX7pspMMaOYEHObJPQCGfHHmvlBnzgAAAHR6VFh0U01JTEVTIHJka2l0IDIwMjEuMDMuNAAAeJxzzkk2TAYCDecczTxDhRoNXSM9U0sLAwsdXUM9QyNTHWsgbWRpaWCio2ugZ2yOLABVYKlnaWlkYJiqa2gGFLIAKUFTgW4ChhWmeqamhoZGYCOggpo1AGiiINFV/tg6AAAAqnpUWHRyZGtpdFBLTDEgcmRraXQgMjAyMS4wMy40AAB4nHu/b+09BiDgAWJGBgjggOIGRkEGBZA4m4MGkGJmYXPIANHMjNgYECVQHewQLjM30FBGpgwmJuYEZpYMJhbWBFY2Blb2DCZ2xgQRRjZGdlYWZiZxmMUMHA/d1A4wMEzYD+I8dFsGpA/sQ7An2EOUTVBjYPhgDxW3h4lD2DD1ag4wcxgYFJbB2GIA3LAivRwYtzAAAAC7elRYdE1PTDEgcmRraXQgMjAyMS4wMy40AAB4nK2SQQ7CIBBF95ziX6BkmErLrK0rYxcuvIOJS+8fh6ESTTWpBjKB/wPz8gM45HGejtc76uDJOSBZ0ccSEVyYiPQcOvZRUsgq+MCRMoO87hL2t2+I13Kll0Vyb0e+H98p+J2CdZbNlGeHUdK/WdAmS5N7QZs3qveypsxbs2gItjkbVT2wK6aoxegSq1E1VKNqrIDBfumykwxo5gQc5sk9AIZ8ceaqLIq1AAAAdXpUWHRTTUlMRVMxIHJka2l0IDIwMjEuMDMuNAAAeJxzzkk2TAYCDecczTxDhRoNXSM9U0sLAwsdXUM9QyNTHWsgbWRpaWCio2ugZ2yOLABVYKlnaWlkYJiqa2gGFLIAKUFTgW4ChhWmeqamhoZGYCOggpo1AGiiING4UvE/AAAAAElFTkSuQmCC\n", - "text/plain": [ - "" - ] - }, - "execution_count": 87, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "dump_one(loadInput,xyzName )\n", - "xyz_files = glob.glob(xyzName)\n", - "\n", - "# make a list of ChemML Molecule object instances based on the names of the xyz files from xyz_files\n", - "molecule_list = [Molecule(xyzName, input_type='xyz') for file in xyz_files]\n", - "\n", - "# alter the ChemML Molecule object instances of molecule_list so that their SMILES codes can be recognzied by RDKit\n", - "for molecule in molecule_list:\n", - " molecule.to_smiles(kekuleSmiles=True)\n", - "\n", - "print(molecule_list)\n", - "\n", - "table = pd.DataFrame(data={'Name':xyzName, \n", - " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", - " columns=['Name','SMILES'])\n", - "\n", - "print(\" \")\n", - "print(\"\")\n", - "print(table)\n", - "\n", - "print(\" \")\n", - "smiles = table.iloc[0,1]\n", - "print(\"Our Molecule in SMILES format: \")\n", - "print(smiles)\n", - "print(\" \")\n", - "\n", - "chem = Chem.MolFromSmiles(smiles)\n", - "chemc = Chem.Mol(chem.ToBinary())\n", - "\n", - "drawMolecule = rdMolDraw2D.MolDraw2DCairo(300, 300)\n", - "rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chemc)\n", - "drawMolecule.drawOptions().addStereoAnnotation = True\n", - "#drawMolecule.drawOptions().addAtomIndices = True\n", - "#drawMolecule.drawOptions().addBondIndices = True\n", - "drawMolecule.DrawMolecule(chemc)\n", - "drawMolecule.FinishDrawing()\n", - "png = drawMolecule.WriteDrawingText('molecule.png')\n", - "png\n", - "\n", - "Image(filename=\"molecule.png\")\n", - "\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "id": "a6bf61ec", - "metadata": {}, - "source": [ - "## Annotations\n", - "We now want to retrieve IOData information, and add it to our visualization by appending the information to the MOL Object. \n", - "\n", - "In this context, we are outputting atomic number and electrostatic potential charges. \n" - ] - }, - { - "cell_type": "code", - "execution_count": 93, - "id": "cb1be89f", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "IOData Retrieved Charges, Bulk : \n", - "{'mulliken': array([-0.17984029, -0.17984725, 0.05002824, -0.04091242, 2.02394948,\n", - " 2.0239583 , -0.86473324, -0.86474131, -0.67554864, -0.64615815,\n", - " -0.64615473]), 'esp': array([-0.11982276, -0.11982857, -0.53824353, 0.26057369, -0.45320065,\n", - " -0.4532028 , 0.49976881, 0.49977265, 0.0844758 , 0.16985231,\n", - " 0.16985503]), 'npa': array([ 0.01191899, 0.01191245, -0.49012581, -0.1689309 , -0.27573862,\n", - " -0.2757388 , 0.21524212, 0.21524428, 0.24472353, 0.25574567,\n", - " 0.25574709])}\n", - " \n", - "IOData Retrieved Atomic Numbers : \n", - "[17, 17, 7, 6, 6, 6, 6, 6, 1, 1, 1]\n", - " \n", - " IOData Retrieved ESP Charges : \n", - "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", - " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", - " \n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "execution_count": 93, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "chem2 = Chem.MolFromSmiles(smiles)\n", - "#listChargesESP = np.ndarray.tolist(espCharges)\n", - " \n", - "\n", - "\n", - "numbers = np.ndarray.tolist(loadInput.atnums)\n", - "print(\"IOData Retrieved Charges, Bulk : \")\n", - "chargeDict = (loadInput.atcharges)\n", - "print(chargeDict)\n", - "\n", - "espCharges = (chargeDict['esp'][:])\n", - "print(\" \")\n", - "print(\"IOData Retrieved Atomic Numbers : \")\n", - "print(numbers)\n", - "\n", - "print(\" \")\n", - "print(\" IOData Retrieved ESP Charges : \")\n", - "print(espCharges)\n", - "print(\" \")\n", - "\n", - "for number in numbers: \n", - " for charge in espCharges: \n", - " dict = {number:np.round(float(charge),3)}\n", - " dict = OrderedDict(dict)\n", - " \n", - " \n", - "for i, atom in enumerate(chem2.GetAtoms()):\n", - " #atom.SetProp(\"atomNote\",f\"{espCharges[i]}\")\n", - " for entry in numbers:\n", - " if entry != atom: \n", - " #print('test')\n", - " #print(atom.GetAtomicNum())\n", - " atom.SetProp(\"atomNote\", f\"{numbers[i],np.round(float(espCharges[i]),3)}\") \n", - "chem2\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "111db663", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 89, - "id": "1432506b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'\\nlistAtomicNumbers = np.ndarray.tolist(atomicNumbers)\\nprint(listAtomicNumbers)\\n\\nlistChargesESP = np.ndarray.tolist(espCharges)\\nprint(listChargesESP)\\n\\natomChargeDict = {}\\n\\nfor key in listAtomicNumbers: \\n for value in listChargesESP: \\n atomChargeDict[key] = np.round(float(value),4)\\n listChargesESP.remove(value)\\n break\\nprint(atomChargeDict)\\n'" - ] - }, - "execution_count": 89, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "'''\n", - "\n", - "for item in loadInput.atcharges[\"esp\"]:\n", - " key = loadInput.atnums\n", - " listCharge = item\n", - " print(listCharge)\n", - " \n", - "for number in loadInput.atnums: \n", - " print(number)\n", - " \n", - "\n", - "q = pd.DataFrame.from_dict(loadInput.atcharges.items())\n", - "print(\"Atomic Charges : \")\n", - "print(q)\n", - "print(\" \")\n", - "\n", - "espCharges = q.iloc[1,1]\n", - "print(\"Charges, ESP : \")\n", - "print(espCharges)\n", - "print(\" \")\n", - "\n", - "atomicNumbers = loadInput.atnums\n", - "print(\"Atomic Numbers : \")\n", - "print(atomicNumbers)\n", - "'''\n", - "\n", - "'''\n", - "listAtomicNumbers = np.ndarray.tolist(atomicNumbers)\n", - "print(listAtomicNumbers)\n", - "\n", - "listChargesESP = np.ndarray.tolist(espCharges)\n", - "print(listChargesESP)\n", - "\n", - "atomChargeDict = {}\n", - "\n", - "for key in listAtomicNumbers: \n", - " for value in listChargesESP: \n", - " atomChargeDict[key] = np.round(float(value),4)\n", - " listChargesESP.remove(value)\n", - " break\n", - "print(atomChargeDict)\n", - "'''\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "8a5c1c12", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "f9c16415", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python [conda env:.conda-chemml_env] *", - "language": "python", - "name": "conda-env-.conda-chemml_env-py" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.10" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/examples/annotate/Annotate_3D.ipynb b/examples/annotate/Annotate_3D.ipynb deleted file mode 100644 index 57493d2b..00000000 --- a/examples/annotate/Annotate_3D.ipynb +++ /dev/null @@ -1,321 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "214d5258", - "metadata": {}, - "source": [ - "# 3D Annotation of Molecules\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 72, - "id": "59d34704", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "2021.03.4\n", - "Mon Aug 9 11:03:35 2021\n" - ] - } - ], - "source": [ - "from iodata import load_one, dump_one \n", - "\n", - "from rdkit import Chem\n", - "from rdkit.Chem import AllChem\n", - "from rdkit.Chem import Draw\n", - "from rdkit.Chem.Draw import IPythonConsole\n", - "\n", - "from ipywidgets import interact, interactive, fixed\n", - "\n", - "from chemml.chem import Molecule\n", - "\n", - "\n", - "from rdkit import rdBase\n", - "print(rdBase.rdkitVersion)\n", - "import os,time\n", - "print( time.asctime())\n", - "import py3Dmol\n", - "\n", - "import glob,os\n", - "\n", - "import pandas as pd" - ] - }, - { - "cell_type": "markdown", - "id": "aeadae0a", - "metadata": {}, - "source": [ - "## Manipulating our Input " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "55e42f92", - "metadata": {}, - "outputs": [], - "source": [ - "loadInput = load_one('dichloropyridine26_q+0.fchk')\n", - "xyzName = 'dichloropyridine26_q+0.xyz'\n", - "molName = xyzName[:-4]\n", - "dump_one(loadInput, 'dichloropyridine26_q+0.xyz')\n", - "xyz_files = glob.glob(xyzName)\n", - "\n", - "# make a list of ChemML Molecule object instances based on the names of the xyz files from xyz_files\n", - "molecule_list = [Molecule(xyzName, input_type='xyz') for file in xyz_files]\n", - "\n", - "# alter the ChemML Molecule object instances of molecule_list so that their SMILES codes can be recognzied by RDKit\n", - "for molecule in molecule_list:\n", - " molecule.to_smiles(kekuleSmiles=True)\n", - "\n", - "print(molecule_list)\n", - "\n", - "numbers = loadInput.atnums\n", - "print(len(numbers))\n", - "\n", - "table = pd.DataFrame(data={'Name':xyzName, \n", - " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", - " columns=['Name','SMILES'])\n", - "\n", - "print(\" \")\n", - "print(\"\")\n", - "print(table)" - ] - }, - { - "cell_type": "code", - "execution_count": 271, - "id": "a344e0cc", - "metadata": {}, - "outputs": [], - "source": [ - "def Visualize3D(molBlock, size=(300,300), style='sphere', surface=False, backgroundColor='#999999', visualizeIsoSurf=False, isoSurfVal=.04):\n", - " view = py3Dmol.view(width=size[0], height=size[1])\n", - " view.addModel(molBlock, 'mol')\n", - " view.addLabel(molName, {'position': {'x':-6.89, 'y':0.75, 'z':0.35}, 'backgroundColor': '#999991', 'backgroundOpacity': 0.2})\n", - " view.addLabel('test', {'backgroundColor': '#999991'})\n", - " view.setBackgroundColor('#999999')\n", - " if visualizeIsoSurf == True:\n", - " #volIso = view.VolumeData(molVolData,'cube')\n", - " #view.addIsosurface(volIso, {'isoval': .04, 'color': 'blue', 'opacity': 0.75})\n", - " view.addVolumetricData(molVolData, \"cube\", {'isoval': isoSurfVal, 'color': 'blue', 'opacity': 0.75})\n", - " \n", - " view.setStyle({style:{'backgroundColor':'#999999'}})\n", - " view.setProjection(\"orthographic\")\n", - " view.zoomTo()\n", - " view.render()\n", - " view.show()\n", - " return view\n", - "\n", - "def SmilesSetup(smiles): \n", - " mol = Chem.MolFromSmiles(smiles)\n", - " if mol is not None: \n", - " mol = Chem.AddHs(mol)\n", - " AllChem.EmbedMolecule(mol)\n", - "\n", - " return mol\n", - " else:\n", - " return None \n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 272, - "id": "5b662217", - "metadata": { - "scrolled": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " \n", - "Our Molecule in SMILES format: \n", - "Clc1cccc(Cl)n1\n" - ] - }, - { - "data": { - "application/3dmoljs_load.v0": "

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You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", - " jupyter labextension install jupyterlab_3dmol

\n", - "
\n", - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " \n" - ] - } - ], - "source": [ - "print(\" \")\n", - "smiles = table.iloc[0,1]\n", - "print(\"Our Molecule in SMILES format: \")\n", - "print(smiles)\n", - "\n", - "molProcessed = SmilesSetup(smiles)\n", - "\n", - "molBlock = Chem.MolToMolBlock(molProcessed) \n", - "\n", - "\n", - "view = Visualize3D(molBlock,size=(500,500), style='stick', surface=False, visualizeIsoSurf=False)\n", - "\n", - "\n", - "print(\" \")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "53531935", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 274, - "id": "0bf6f306", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "data": { - "application/3dmoljs_load.v0": "
\n

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n jupyter labextension install jupyterlab_3dmol

\n
\n", - "text/html": [ - "
\n", - "

You appear to be running in JupyterLab (or JavaScript failed to load for some other reason). You need to install the 3dmol extension:
\n", - " jupyter labextension install jupyterlab_3dmol

\n", - "
\n", - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "molVolData = open(\"dichloropyridine26_q+0_esp.cube\", \"r\").read()\n", - "view = Visualize3D(molBlock,size=(300,300), style='stick', surface=False, visualizeIsoSurf=True, isoSurfVal = .045)\n" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python [conda env:.conda-chemml_env] *", - "language": "python", - "name": "conda-env-.conda-chemml_env-py" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.10" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/examples/annotate/Annotate_3D_Chimera.ipynb b/examples/annotate/Annotate_3D_Chimera.ipynb deleted file mode 100644 index a3566ff6..00000000 --- a/examples/annotate/Annotate_3D_Chimera.ipynb +++ /dev/null @@ -1,151 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 192, - "id": "1f5c3fdd", - "metadata": {}, - "outputs": [], - "source": [ - "import iodata\n", - "from iodata import load_one,dump_one\n", - "import numpy as np\n", - "\n", - "import rdkit\n", - "from rdkit import Chem\n", - "from rdkit.Chem import PeriodicTable\n", - "\n", - "import os,glob,sys\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 196, - "id": "8d549015", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "dichloropyridine26_q+0\n" - ] - } - ], - "source": [ - "inFile = 'dichloropyridine26_q+0.fchk'\n", - "loadInput = load_one(inFile)\n", - "dump_one(loadInput,'test.pdb')\n", - "molName = inFile[:-5]\n", - "print(molName)" - ] - }, - { - "cell_type": "code", - "execution_count": 219, - "id": "edf3a177", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[-0.11982276 -0.11982857 -0.53824353 0.26057369 -0.45320065 -0.4532028\n", - " 0.49976881 0.49977265 0.0844758 0.16985231 0.16985503]\n", - "[17 17 7 6 6 6 6 6 1 1 1]\n", - "\n", - "[(17, -0.119822758), (17, -0.119828567), (7, -0.538243531), (6, 0.260573695), (6, -0.453200648), (6, -0.4532028), (6, 0.499768812), (6, 0.499772652), (1, 0.0844758043), (1, 0.16985231), (1, 0.169855031)]\n" - ] - } - ], - "source": [ - "\n", - "espCharges = (loadInput.atcharges['esp'][:])\n", - "numbers = loadInput.atnums\n", - "\n", - "print(\"\")\n", - "\n", - "numChargeDict = []\n", - "for i in range(0,len(numbers)):\n", - " step=numbers[i],espCharges[i]\n", - " numChargeDict.append(step)\n", - " \n", - "print(numChargeDict)\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "af1fd462", - "metadata": {}, - "outputs": [], - "source": [ - "def RedundantAtomCheck(atom)\n", - " if " - ] - }, - { - "cell_type": "code", - "execution_count": 220, - "id": "c0625011", - "metadata": {}, - "outputs": [], - "source": [ - " \n", - "f = open(\"test.defattr\", \"w\")\n", - "f.write(\"attribute: myFactor\\n\")\n", - "#f.write(\"match mode: 1-to-1\\n\")\n", - "f.write(\"recipient: atoms\\n\")\n", - "count = 0\n", - "for i,p in numChargeDict: \n", - " count += 1\n", - " \n", - " # f.write(f\"\\t :{count}\\t({i}:{p}) \\n\")\n", - " for value in p \n", - " f.write(f\"\\t@{count}\\t{p} \\n\")\n", - "f.close() \n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "7a9d69ff", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e03ddc64", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python [conda env:.conda-chemml_env] *", - "language": "python", - "name": "conda-env-.conda-chemml_env-py" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.10" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/examples/annotate/draw.py b/examples/annotate/draw.py deleted file mode 100644 index b05593d9..00000000 --- a/examples/annotate/draw.py +++ /dev/null @@ -1,50 +0,0 @@ -import sys,os -from rdkit import Chem -from rdkit.Chem import AllChem -from rdkit.Chem import Draw -from rdkit.Chem.Draw import rdMolDraw2D -from rdkit.Chem import rdMolTransforms -from rdkit.Chem import PeriodicTable - -mol = Chem.MolFromSmiles('Cl[C@H](F)NC\C=C\C') -image = rdMolDraw2D.MolDraw2DCairo(500,400) -outName = "out.png" - - -def visualizeChiralCenter(image): - image.drawOptions().addStereoAnnotation = True - -def atomicNumber(mol,image): - for i, atom in enumerate(mol.GetAtoms()): - atom.SetProp("molAtomMapNumber", str(atom.GetAtomicNum()+1)) - -def imageGenerate(image): - # image.drawOptions().addAtomIndices = True - image.DrawMolecule(mol) - image.FinishDrawing() - image.WriteDrawingText(outName) - - -# THIS CODE ALLOWS MULTIPLE FLAGS -i = 1 -if len(sys.argv) >= 2: - while True: - if sys.argv[i] == '-o' or sys.argv[i] == '--output': - outName = sys.argv[i+1] - if sys.argv[i] == '-c' or sys.argv[i] == '--chirality': - visualizeChiralCenter(image) - if sys.argv[i] == '-n' or sys.argv[i] == '--atom-number': - atomicNumber(mol,image) - if sys.argv[i] == '-h' or sys.argv[i] == '--help': - print(" This script visualizes atomic properties") - print(" Input currently must be in SMILES") - print(" ") - print("-h --help obtain this message") - print("-c --chirality visualize E-Z and Stereoisomers") - print("-n --atom-number visualize atomic numbers") - quit() - - i = i + 1 - if len(sys.argv) <= i: - imageGenerate(image) - quit() diff --git a/examples/annotate/molecular-visualizer.ipynb b/examples/annotate/molecular-visualizer.ipynb deleted file mode 100644 index c90d6cee..00000000 --- a/examples/annotate/molecular-visualizer.ipynb +++ /dev/null @@ -1,232 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "8abf6019", - "metadata": {}, - "source": [ - "# Visualizing Molecules Within a Jupyter Notebook\n", - "\n", - "The following code has been created for the purpose of visualizing molecules within a Jupyter notebook. In essence, this notebook functions by reading xyz files, converting their contents into a SMILES code with the `ChemML` library, interpreting these SMILES codes as 2D molecular structures with the `RDKit` library, and visualizing the molecules in a grid. There are two main sections for visualization, based on the combinations of the main libraries implemented in each:\n", - "\n", - "- Section I - Visualization With RDKit\n", - "- Section II - Visualization With RDKit and mols2grid\n", - "\n", - "Regardless of which section you'd like to access, there are some preliminary things that need to be set up, which are covered in the *Prerequisites* section.\n", - "\n", - "# Prerequisites\n", - "\n", - "In this section, all of the required libraries for the notebook's functioning are imported, and all necessary variables are established with appropriate data. First, you'll do the former:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e723a30d", - "metadata": {}, - "outputs": [], - "source": [ - "# import required libraries\n", - "import rdkit\n", - "from rdkit import Chem\n", - "from rdkit.Chem import Draw\n", - "from chemml.chem import Molecule\n", - "import mols2grid\n", - "import pandas as pd\n", - "import glob\n", - "import os" - ] - }, - { - "cell_type": "markdown", - "id": "2df93dd0", - "metadata": {}, - "source": [ - "### Relevant Documentations:\n", - " - [RDKit](http://www.rdkit.org/docs/)\n", - " - [ChemML](https://hachmannlab.github.io/chemml)\n", - " - [mols2grid](https://github.com/cbouy/mols2grid)\n", - " - [pandas](https://pandas.pydata.org/docs/)\n", - " - [glob](https://docs.python.org/3/library/glob.html)\n", - " - [os](https://docs.python.org/3/library/os.html)" - ] - }, - { - "cell_type": "markdown", - "id": "593076d4", - "metadata": {}, - "source": [ - "The `Molecule` class from the`ChemML` library can support as of now only smiles, smarts, inchi, and xyz file formats, according to the `ChemML` documentation. Note, however, that this notebook only makes use of the latter. For further reading, see the ChemML documentation from the list of relevant documentations above.\n", - "\n", - "Next, you need to specify the path to the xyz files you'd like to visualize. This should be done in the input below in place of `FILE_PATH`. An example of this input looks as follows:\n", - "\n", - "`xyz_files = glob.glob('/Users/johnsmith/Desktop/structures/*.xyz')`\n", - "\n", - "**Note**: It will be easiest to identify your molecules within your grid if your xyz files have sensible names. This is due to how names of the molecules are defined within this notebook, which is by taking the name of the file and cutting off the \".xyz\" extension from it. For example, \"101_IndolebenzeneTshapecomplex.xyz\" will be named \"101_IndolebenzeneTshapecomplex\" in the grids generated. Thus, try not to have your files named like \"C46H65N15O12S2.xyz\" or anything else nonsensical to you or a third-party reader." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "eb0831b1", - "metadata": {}, - "outputs": [], - "source": [ - "# get names of all .xyz files in desired directory\n", - "xyz_files = glob.glob('FILE_PATH')\n", - "if not xyz_files:\n", - " raise Warning('''Couldn't find any xyz files via the specified path''')" - ] - }, - { - "cell_type": "markdown", - "id": "ee5371ab", - "metadata": {}, - "source": [ - "For the last part of this section, you're going to initialize all the variables you need to use Section I and/or Section II for visualizing your molecules." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1ce5435d", - "metadata": {}, - "outputs": [], - "source": [ - "# create names for the molecules based on their file names in xyz_files\n", - "xyz_names = [os.path.basename(item)[:-4] for item in xyz_files]\n", - "\n", - "# make a list of ChemML Molecule object instances based on the names of the xyz files from xyz_files\n", - "molecule_list = [Molecule(file, input_type='xyz') for file in xyz_files]\n", - "\n", - "# alter the ChemML Molecule object instances of molecule_list so that their SMILES codes can be recognzied by RDKit\n", - "for molecule in molecule_list:\n", - " molecule.to_smiles(kekuleSmiles=True)\n", - "\n", - "# make a list of visual representations of the molecules in molecule_list using RDKit functionality\n", - "drawing_list = [Chem.MolFromSmiles(molecule.smiles) for molecule in molecule_list]\n", - "\n", - "# create a pandas dataframe containing molecule names in one column (\"Name\") and SMILES codes (\"SMILES\") in the other\n", - "table = pd.DataFrame(data={'Name':xyz_names, \n", - " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", - " columns=['Name','SMILES'])" - ] - }, - { - "cell_type": "markdown", - "id": "ae9a5c78", - "metadata": {}, - "source": [ - "At this point, you're set to move on to either (or both) Sections I and II." - ] - }, - { - "cell_type": "markdown", - "id": "25ac1922", - "metadata": {}, - "source": [ - "# Section I - Visualization With RDKit\n", - "\n", - "This section can be used for two things:\n", - "\n", - "1. Visualizing a relatively rudimentary grid of 2D molecules based on the contents of your xyz files.\n", - "2. Saving this grid as an image." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "efcbe3b5", - "metadata": {}, - "outputs": [], - "source": [ - "# define the grid of molecules with drawing_list, the number of molecules per row, the image sizes, and the legend \n", - "# of names of the molecules\n", - "grid = Draw.MolsToGridImage(drawing_list,\n", - " molsPerRow=4, \n", - " subImgSize=(290,425), \n", - " legends=xyz_names, \n", - " returnPNG=False)\n", - "\n", - "# display the grid\n", - "grid" - ] - }, - { - "cell_type": "markdown", - "id": "7b7e329b", - "metadata": {}, - "source": [ - "**Note**: If the stuctures and/or their names in the grid above aren't spaced as you'd like them, you can likely resolve this by changing the dimensions specified by `subIMGSize=( , )` when initializing the `grid` variable.\n", - "\n", - "In the input below, you can save the grid above as a .png file within the same directory you're currently working in. To do this, you should specify a name for this file in place of `IMG_NAME` in your input (if you don't, the file will be saved as \"IMG_NAME.png\"). **Note that the file extension must be specified by `.png`**. An example input could look like:\n", - "\n", - "`grid.save('grid_of_molecules.png')`\n", - "\n", - "If you don't wish to save this grid as an image, you can simply skip over the following input." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "33038afb", - "metadata": {}, - "outputs": [], - "source": [ - "# save the grid as an image\n", - "grid.save('IMG_NAME.png')" - ] - }, - { - "cell_type": "markdown", - "id": "ef568653", - "metadata": {}, - "source": [ - "# Section II - Visualization With RDKit and mols2grid\n", - "\n", - "This section is similar to Section I, though its function differs in two main ways:\n", - "\n", - "1. The potential amount of chemical information that can be accessed via your grid is increased. By hovering your cursor over the grid generated, an additional window will be displayed, which can be customized to include more information about your molecule, such as its pH or relative density. The amount of information displayed can be controlled by altering the `tooltip` parameter in the input below. In this version of the notebook however, only the name of the molecule can be displayed, so don't alter this parameter for now.\n", - "2. The grid generated in this section cannot currently be saved as an image." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "03304c9a", - "metadata": {}, - "outputs": [], - "source": [ - "# display the grid of molecules based on \"tables\" pandas dataframe using mols2grid library\n", - "mols2grid.display(table, \n", - " smiles_col='SMILES', \n", - " size=(200, 200), \n", - " subset=['Name', 'img'], \n", - " n_cols=4, \n", - " tooltip=['Name'], \n", - " template='table')" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.5" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/examples/annotate/molecular_visualization.ipynb b/examples/annotate/molecular_visualization.ipynb deleted file mode 100644 index 67b8d371..00000000 --- a/examples/annotate/molecular_visualization.ipynb +++ /dev/null @@ -1,272 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "4e8acd4b", - "metadata": {}, - "source": [ - "# Visualizing Molecules Within a Jupyter Notebook\n", - "\n", - "The following code has been created for the purpose of visualizing molecules within a Jupyter notebook. In essence, this notebook functions by reading xyz files, converting their contents into a SMILES code with the `ChemML` library, interpreting these SMILES codes as 2D molecular structures with the `RDKit` library, and visualizing the molecules in a grid. There are two main sections for visualization, based on the combinations of the main libraries implemented in each:\n", - "\n", - "- Section I - Visualization With RDKit\n", - "- Section II - Visualization With RDKit and mols2grid\n", - "\n", - "Regardless of which section you'd like to access, there are some preliminary things that need to be set up, which are covered in the *Prerequisites* section.\n", - "\n", - "# Prerequisites\n", - "\n", - "In this section, all of the required libraries for the notebook's functioning are imported, and all necessary variables are established with appropriate data. First, you'll do the former:" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "fa01486b", - "metadata": {}, - "outputs": [], - "source": [ - "# import required libraries\n", - "from iodata import iodata\n", - "\n", - "import rdkit\n", - "from rdkit import Chem\n", - "from rdkit.Chem import Draw\n", - "\n", - "from chemml.chem import Molecule\n", - "\n", - "import mols2grid\n", - "\n", - "import pandas as pd\n", - "\n", - "import glob\n", - "import os" - ] - }, - { - "cell_type": "markdown", - "id": "d4a39952", - "metadata": {}, - "source": [ - "### Relevant Documentations:\n", - " - [RDKit](http://www.rdkit.org/docs/)\n", - " - [ChemML](https://hachmannlab.github.io/chemml)\n", - " - [mols2grid](https://github.com/cbouy/mols2grid)\n", - " - [pandas](https://pandas.pydata.org/docs/)\n", - " - [glob](https://docs.python.org/3/library/glob.html)\n", - " - [os](https://docs.python.org/3/library/os.html)" - ] - }, - { - "cell_type": "markdown", - "id": "5e84dbec", - "metadata": {}, - "source": [ - "The `Molecule` class from the`ChemML` library can support as of now only smiles, smarts, inchi, and xyz file formats, according to the `ChemML` documentation. Note, however, that this notebook only makes use of the latter. For further reading, see the ChemML documentation from the list of relevant documentations above.\n", - "\n", - "Next, you need to specify the path to the xyz files you'd like to visualize. This should be done in the input below in place of `FILE_PATH`. An example of this input looks as follows:\n", - "\n", - "`xyz_files = glob.glob('/Users/johnsmith/Desktop/structures/*.xyz')`\n", - "\n", - "**Note**: It will be easiest to identify your molecules within your grid if your xyz files have sensible names. This is due to how names of the molecules are defined within this notebook, which is by taking the name of the file and cutting off the \".xyz\" extension from it. For example, \"101_IndolebenzeneTshapecomplex.xyz\" will be named \"101_IndolebenzeneTshapecomplex\" in the grids generated. Thus, try not to have your files named like \"C46H65N15O12S2.xyz\" or anything else nonsensical to you or a third-party reader." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "aee7d433", - "metadata": {}, - "outputs": [ - { - "ename": "NameError", - "evalue": "name 'load_one' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mloadInput\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mload_one\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"dichloropyridine26_q+0.fchk\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;31mNameError\u001b[0m: name 'load_one' is not defined" - ] - } - ], - "source": [ - "loadInput = load_one(\"dichloropyridine26_q+0.fchk\")" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "04a1c205", - "metadata": {}, - "outputs": [ - { - "ename": "Warning", - "evalue": "Couldn't find any xyz files via the specified path", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mWarning\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m/tmp/ipykernel_137324/406668925.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0mxyz_files\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mglob\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mglob\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'FILE_PATH'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mxyz_files\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mWarning\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'''Couldn't find any xyz files via the specified path'''\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;31mWarning\u001b[0m: Couldn't find any xyz files via the specified path" - ] - } - ], - "source": [ - "# get names of all .xyz files in desired directory\n", - "xyz_files = glob.glob('FILE_PATH')\n", - "if not xyz_files:\n", - " raise Warning('''Couldn't find any xyz files via the specified path''')" - ] - }, - { - "cell_type": "markdown", - "id": "8bb20f88", - "metadata": {}, - "source": [ - "For the last part of this section, you're going to initialize all the variables you need to use Section I and/or Section II for visualizing your molecules." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "35f9731d", - "metadata": {}, - "outputs": [], - "source": [ - "# create names for the molecules based on their file names in xyz_files\n", - "xyz_names = [os.path.basename(item)[:-4] for item in xyz_files]\n", - "\n", - "# make a list of ChemML Molecule object instances based on the names of the xyz files from xyz_files\n", - "molecule_list = [Molecule(file, input_type='xyz') for file in xyz_files]\n", - "\n", - "# alter the ChemML Molecule object instances of molecule_list so that their SMILES codes can be recognzied by RDKit\n", - "for molecule in molecule_list:\n", - " molecule.to_smiles(kekuleSmiles=True)\n", - "\n", - "# make a list of visual representations of the molecules in molecule_list using RDKit functionality\n", - "drawing_list = [Chem.MolFromSmiles(molecule.smiles) for molecule in molecule_list]\n", - "\n", - "# create a pandas dataframe containing molecule names in one column (\"Name\") and SMILES codes (\"SMILES\") in the other\n", - "table = pd.DataFrame(data={'Name':xyz_names, \n", - " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", - " columns=['Name','SMILES'])" - ] - }, - { - "cell_type": "markdown", - "id": "826cc1cc", - "metadata": {}, - "source": [ - "At this point, you're set to move on to either (or both) Sections I and II." - ] - }, - { - "cell_type": "markdown", - "id": "a26ab87c", - "metadata": {}, - "source": [ - "# Section I - Visualization With RDKit\n", - "\n", - "This section can be used for two things:\n", - "\n", - "1. Visualizing a relatively rudimentary grid of 2D molecules based on the contents of your xyz files.\n", - "2. Saving this grid as an image." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "49a7a4e5", - "metadata": {}, - "outputs": [], - "source": [ - "# define the grid of molecules with drawing_list, the number of molecules per row, the image sizes, and the legend \n", - "# of names of the molecules\n", - "grid = Draw.MolsToGridImage(drawing_list,\n", - " molsPerRow=4, \n", - " subImgSize=(290,425), \n", - " legends=xyz_names, \n", - " returnPNG=False)\n", - "\n", - "# display the grid\n", - "grid" - ] - }, - { - "cell_type": "markdown", - "id": "60a28f1c", - "metadata": {}, - "source": [ - "**Note**: If the stuctures and/or their names in the grid above aren't spaced as you'd like them, you can likely resolve this by changing the dimensions specified by `subIMGSize=( , )` when initializing the `grid` variable.\n", - "\n", - "In the input below, you can save the grid above as a .png file within the same directory you're currently working in. To do this, you should specify a name for this file in place of `IMG_NAME` in your input (if you don't, the file will be saved as \"IMG_NAME.png\"). **Note that the file extension must be specified by `.png`**. An example input could look like:\n", - "\n", - "`grid.save('grid_of_molecules.png')`\n", - "\n", - "If you don't wish to save this grid as an image, you can simply skip over the following input." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "fde96a46", - "metadata": {}, - "outputs": [], - "source": [ - "# save the grid as an image\n", - "grid.save('IMG_NAME.png')" - ] - }, - { - "cell_type": "markdown", - "id": "cf2889ae", - "metadata": {}, - "source": [ - "# Section II - Visualization With RDKit and mols2grid\n", - "\n", - "This section is similar to Section I, though its function differs in two main ways:\n", - "\n", - "1. The potential amount of chemical information that can be accessed via your grid is increased. By hovering your cursor over the grid generated, an additional window will be displayed, which can be customized to include more information about your molecule, such as its pH or relative density. The amount of information displayed can be controlled by altering the `tooltip` parameter in the input below. In this version of the notebook however, only the name of the molecule can be displayed, so don't alter this parameter for now.\n", - "2. The grid generated in this section cannot currently be saved as an image." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "a66f7625", - "metadata": {}, - "outputs": [], - "source": [ - "# display the grid of molecules based on \"tables\" pandas dataframe using mols2grid library\n", - "mols2grid.display(table, \n", - " smiles_col='SMILES', \n", - " size=(200, 200), \n", - " subset=['Name', 'img'], \n", - " n_cols=4, \n", - " tooltip=['Name'], \n", - " template='table')" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python [conda env:.conda-chemml_env] *", - "language": "python", - "name": "conda-env-.conda-chemml_env-py" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.10" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git 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z?}>`Q?uo&~ArS8jzgD+xIjS2A6xPaA7ZxDa$Q!ONuGnfr-c{d8h1}s&X3@NmoykKn zX#e(yx-%Wy!?cednch((SlO;nvG@0W@A%$3*f!YF*3sWF*x%jteeiq7aQASBV8;!H z>JR_sR+? zX9>P=39@FNpSW;GF>$_KReQQ?OvF*e;97{!GeqFolc-u}HZMi*#(N)O9IdRp5>;WUlw zYi2zM*nje$uV{ZSViPfYluK4`-+He*gdg From 845faa2ccd5ad755f818645638e687d6009f115c Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 16:57:10 -0400 Subject: [PATCH 095/126] Delete visualize.py --- examples/esp/visualize.py | 55 --------------------------------------- 1 file changed, 55 deletions(-) delete mode 100644 examples/esp/visualize.py diff --git a/examples/esp/visualize.py b/examples/esp/visualize.py deleted file mode 100644 index 79db3cb5..00000000 --- a/examples/esp/visualize.py +++ /dev/null @@ -1,55 +0,0 @@ -from chimerax.core.commands import run -from chimerax.core import errors -# END MODULES -""" -INSTALLATION OF CHIMERAX - -CHIMERAX IS CREATED BY THE UNIVERSITY OF CALIFORNIA - SAN FRANCISCO - -VERSIONS FOR DIFFERENT OPERATING SYSTEMS CAN BE FOUND HERE - -https://www.cgl.ucsf.edu/chimerax/download.html - - -THIS SCRIPT FIRST OPENS ESP AND RHO CUBE FILES, VISUALIZES THE ISOSURFACES OF THE ESP CUBE FILE USING VOLUME VIEWER - -WE NEED TO FIND A MEANS OF IMPLEMENTING FSTRING{rhoName} etc. - - -TO EXECUTE THIS SCRIPT RUN -' chimerax visualize.py - -CURRENTLY THE INPUT *_esp.cube and *_rho.cube inputs, ISOSURFACE LEVELS, AND OUTPUT FILENAMES ARE HARD CODED - -""" -import chimerax.surface -def VisualizeMolecule(session): - from chimerax.map import Volume,VolumeSurface - - test = 'dichloropyridine26_q+0_rho.cube' - run(session, "open dichloropyridine26_q+0_esp.cube") - run(session, 'open dichloropyridine26_q+0_esp.cube') - run(session, "volume #1 style surface level .0675 ") - run(session, "lighting simple") - run(session, "material dull") - run(session, "graphics silhouettes false") - run(session, "lighting shadows false") - run(session, "hide #2 model") - -# END VISUALIZEMOLECULE - -def ColorElectrostaticChimera(session): - run(session, "hide #2 model") - run(session, "color gradient #1 map #2 palette rainbow") - - - -def SaveMoleculeChimera(session): - run(session, "hide #2 model") - run(session, "save outFile.cxs") #CHIMERAX SAVE STATE - run(session, "save outFile.png") # SAVE AS PNG IMAGE - -#END SAVEMOLECULECHIMERA -VisualizeMolecule(session) -ColorElectrostaticChimera(session) -SaveMoleculeChimera(session) From c6ef951415900aeb0a7add9012d51ca893d2c04b Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 16:57:18 -0400 Subject: [PATCH 096/126] Delete visualize_scl.py --- examples/esp/visualize_scl.py | 42 ----------------------------------- 1 file changed, 42 deletions(-) delete mode 100644 examples/esp/visualize_scl.py diff --git a/examples/esp/visualize_scl.py b/examples/esp/visualize_scl.py deleted file mode 100644 index db059780..00000000 --- a/examples/esp/visualize_scl.py +++ /dev/null @@ -1,42 +0,0 @@ -import os,sys - -from chimerax.core.commands import run, Command, CmdDesc, RestOfLine -from chimerax.core import errors - -from chimerax.map import Volume -from chimerax.map_data.gaussian.gaussian_grid import GaussianGrid -from chimerax.surface import color_electrostatic - -# END MODULES -""" -THIS SCRIPT FIRST OPENS ESP AND RHO CUBE FILES, VISUALIZES THE ISOSURFACES OF THE ESP CUBE FILE USING VOLUME VIEWER - -I RETURN ERRORS WHEN TRYING TO IMPLEMENT STRING LITERALS SO THAT CUBEFILE NAMES CAN BE VARIABLES - -""" -# NONFUNCTIONALL -espName = 'dichloropyridine26_q+0_esp.cube' -rhoName = 'dichloropyridine26_q+0_esp.cube' - - -def VisualizeMolecule(session,espName,rhoName): - - run(session, "open scl2_esp.cube") - run(session, "open scl2_rho.cube") - run(session, "volume #1 style surface level .038") - run(session, "lighting simple") - run(session, "graphics silhouettes false") - run(session, "lighting shadows false") - #run(session, "color electrostatic #1.1#1.2 map #2 palette 0,#ff0000:0.025,#ffffff:0.05,#0000ff") - run(session, "hide #2 model") -# END VISUALIZEMOLECULE - -VisualizeMolecule(session,espName,rhoName) - - -""" -TODO: - -COLOR MAPPING FUNCTION -SYSARGS AND STRING LITERALS -""" From 11b0680accded3afca4e32a33a7b026114ecf72a Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 16:57:41 -0400 Subject: [PATCH 097/126] Delete Annotate_2D.ipynb --- examples/annotate_2D/Annotate_2D.ipynb | 274 ------------------------- 1 file changed, 274 deletions(-) delete mode 100644 examples/annotate_2D/Annotate_2D.ipynb diff --git a/examples/annotate_2D/Annotate_2D.ipynb b/examples/annotate_2D/Annotate_2D.ipynb deleted file mode 100644 index aa383e6a..00000000 --- a/examples/annotate_2D/Annotate_2D.ipynb +++ /dev/null @@ -1,274 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "415389d5", - "metadata": {}, - "source": [ - "# 2D Annotations of Molecules \n", - "\n", - "## Introduction\n", - "The goal of this project is to render a 2 dimensional molecular drawing with annotations detailing a specific feature per atom. \n", - "\n", - "This example \n", - "\n", - "## Dependencies\n", - "1. IOData\n", - "2. Numpy\n", - "3. RDKit\n", - "5. CHEMML \n", - "6. Pandas\n", - "7. Glob \n", - "8. OS \n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "3744a11c", - "metadata": {}, - "outputs": [], - "source": [ - "# import required libraries\n", - "from iodata import load_one, dump_one\n", - "\n", - "import numpy as np\n", - "\n", - "from rdkit import Chem\n", - "from rdkit.Chem import AllChem\n", - "from rdkit.Chem.rdchem import Atom\n", - "from rdkit.Chem import Draw\n", - "from rdkit.Chem.Draw import rdMolDraw2D\n", - "from rdkit.Chem.Draw import MolToImage\n", - "from rdkit.Chem.Draw import DrawingOptions\n", - "\n", - "from IPython.display import Image\n", - "\n", - "from chemml.chem import Molecule\n", - "\n", - "import pandas as pd\n", - "import glob\n", - "import os" - ] - }, - { - "cell_type": "markdown", - "id": "055a3b9c", - "metadata": {}, - "source": [ - "## Manipulation of Input and Extraction of Charges \n", - "\n", - "We first want to open our file using IOData, designated `loadInput`, from then we can extract informations related to the `.fchk` file using IOData to annotate our molecule" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "ee68d1a9", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Molecule Name : \n", - "acrolein_q+0\n", - " \n" - ] - } - ], - "source": [ - "inputName = 'acrolein_q+0.fchk'\n", - "loadInput = load_one(inputName) \n", - "\n", - "xyzName = 'acrolein_q+0.xyz'\n", - "pdbName = 'acrolein_q+0.pdb'\n", - "molName = xyzName[:-4]\n", - "imageName = f\"{molName}.png\" \n", - "\n", - "print(\"Molecule Name : \")\n", - "print(molName)\n", - "print(\" \")\n", - "\n", - "dump_one(loadInput,pdbName)\n", - "dump_one(loadInput, xyzName)\n", - "espCharges = loadInput.atcharges['esp'][:]" - ] - }, - { - "cell_type": "markdown", - "id": "9fb5b251", - "metadata": {}, - "source": [ - "## Manipulate Molecule to Create MOL Object\n", - "We need to dump our IOData loaded molecule into an `.xyz` file, which can then be parsed using `CHEMML`, to create a data table containing basic information such as filename, XYZ Cartesian Coordinates, and the SMILES equivalent of the molecule.\n", - "\n", - "We can then extract the SMILES string and convert into MOL Format for processing by RDKit. \n", - "\n", - "We can then use a series of commands `drawMolecule.*` to generate a visualization of our molecule. \n", - "\n", - "The below image is RDKit visualization without annotations. " - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "22744f1d", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - ",\n", - " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", - " smiles : None,\n", - " smarts : None,\n", - " inchi : None,\n", - " xyz : )>\n", - "Clc1nc(Cl)ccc1\tdichloropyridine26_q+0 ub3lyp/cc-pvtz sp-stable\n", - "\n", - "[,\n", - " pybel_molecule : ,\n", - " creator : ('XYZ', 'acrolein_q+0.xyz'),\n", - " smiles : 'C=CC=O',\n", - " smarts : None,\n", - " inchi : None,\n", - " xyz : )>]\n", - " \n", - "\n", - " Name SMILES\n", - "0 acrolein_q+0.xyz C=CC=O\n", - " \n", - "Our Molecule in SMILES format: \n", - "C=CC=O\n", - " \n", - "-0.473096529\n", - "-0.16880218\n", - "0.492524424\n", - "-0.353041221\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Exception ignored in: \n", - "Traceback (most recent call last):\n", - " File \"/home/woodn/.conda/envs/chemml_env/lib/python3.7/site-packages/iodata/utils.py\", line 80, in __del__\n", - " self.f.close()\n", - "AttributeError: 'LineIterator' object has no attribute 'f'\n" - ] - }, - { - "data": { - "image/png": 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NMlowgCVLNFnSutn60fbv1+w4fnwrR9HeIayrq0tOTuZfDkZSeeothg1+GjY1NZXfWe7q6nr06FEDvjK03Jgx94Mkk7EbN5qxo1qtuZ5hYcFaNz+u/UJ48+bNmJiYvn378p91e3v78PDwq1evttsAmiopKWnPYriwsHDs2LEoTQVQqVjTX+Zra5ml5f0gPaCZ78O89prmy7B1v/C3RwiNsK2LqGK4vr4+IiKCn+wJCAhAadrmSkpYTAxzc2NKpe6qc+c0KXr55Wa/8ooVmt3Xrm3NGNswhLW1tUql8qmnnuI/6GZmZtOnTxc768dIiuHt27fz0tTNza3d5nyYnBMn2Guvab7rXn1Vd4ODB5t9XlTbv/6l2f3Pf27NSNskhAZv69J6xlYMFxQUjBkzhpemMTExAn8l7mzq6lhyMhs37n485HLm789SU/Vc/du27VeXB5vrv//V7L54cWuGbOAQtkVbl1YywmKY0y5NZ8yYIfaehM7g5k0WE8NcXO4Hw96ehYezhxxnk5I0KdLqSvi4DhzQ7P7737di3AYKYZu2dWmZ2tra5OTk0aNHS5Wn8GJYr++//57PinRzc+M9vKDZ0tNZSAhTKDRzHWJj2SOPs//5jyZFERHNftPUVM3uH33UsoFzrQ1h+7R1aRYjLIYfrqCggB8sUJo2T20tS05mo0drKs/p01la2uPObzh6tFVfZZs2aXb/y1+avbuWFoZQSFuXRzLCYvgxqVQqqTSdOXMmStNHKCpiUVGsV6/7GXB0ZBERrLnH2UuXNCl67rlmj2HpUs3u//xns3fX0uwQ6m3rIraOMsJiuGW2bdvGS1N3d3eUpvodPswCAzW3UA8fzuLjW3itXK1m3btrYtxcM2dqQnjhQksG8ItmhNBI2rpou3z5srEVw62Un58/atQofnSLjY0VPRyjUVPDlEo2bJjmJpXAQNb64+zUqS0MUl0d69lTcwaodfddPDqEjY2NaWlp2k8La8F8AsMyzmLYUGpra8PDw/nnmjVr1t27d0WPSKjLl1lEhOYnvndvFhHBDHWc/eqrFp5c2bJFs2NgYCtH8bAQGmFbF7E9DtvT1q1bu3XrxkvT48ePix6OCLzylCa8+/oypdJQk9nvKytjXbpoptKXlDzWXg0NbPhwTQgPHmzlKB4Wwp07d/KfdWNo66K3GL5165bAIbW1/Pz8kSNHmlxpWlnJ4uPZkCH3f8QtLVlgIGu74+wbb/zq5rXHKSyXLdPsMnx464fwsBA2NjbOnz9/x44dAm81bloM88pTYDHcnrRL0xdffLGTl6aXLrGICM3JEmdnFhXF2vo4W1bGnJ01oZo//xGTdFeuZDLZ/Y0VCnb6dOuHYBQz6/UywmJYlC1btvDSdNCgQTrPl+wMGhtZWhqbPl3zw80rz3Y7zu7e/auOFZ6e7N//1p3g29DADh5kEydqNiNiMTEGeX9jDKER9jgULjc3l98Kb2Vl1XlK04oKFh/PvL3v/0xbWbGQECbkOJuaqvnlUBrMqFFsxgw2ezabMEFzZkiaf/jFF4Z6cyMKoRH2ODQqNTU1Umk6e/bs8vJy0SNqufPnz+dFRrKuXe//TPfvz776iom9ReHECfZ///erpD3oT79+bMsWA76zUYRQb4/DFrd16dxSUlLs7e2JyNPT8+zZs6KH0zzax9k3hg5lRGzcOJac3H6V58Op1Sw5mQUEaI4O2n/MzZmfH1u9mtXWGvZtBYfQCHscGr+cnJwnn3yyY5WmpaWlX3zxhdsvz3KwtbV955136nNyRI7p7t0HXu6vrWUnTrDUVLZhA1u3jm3dyv73P9ZmpYeYEBphj8OORbs0fe2118Q2yHo4YzzO5uSw8HBmY8OsrZkRNDdo7xC2c1uXzm3Tpk02NjZE5OXlZWznjdunfVZzx8S2bmWTJmlOrvj7s0uXhI3nF+0XQiPscdgJZGdnDxs2zKhKU36clSpPozjOlpez2FhNfzQbGxYayozmpEObh9BI2rp0YtqlaUhIiMDjmjEeZzMyWGgos7a+H78BA1hMjDGUoNraMITG1talc/vmm2/4lVUvL69z586151sb43G2oYGlpjJ/f818X39/lpys5zEvRqBNQmi0bV06t6ysLD6p0srKKj4+vh3e0RiPs1KPQx4/OzsWGtrK+X5tzZAh1GnrYgw9Dk1NdXV1aGioVJree8yHKzSfznHW29s7NjZW8HE2PZ2FhmpufPH0ZDExrCPcbWuYEHa4ti6dm1Kp5KWpt7e3YUtTY2yfxXsc6lSeenscGqvWhrDjtnXp3LKysoYOHUpEXbp0SUhIaP0LGuNxVm+PwytXRA6pRVoYwk7T1qUTq66ufuONN1pfmuocZ4cPHy7+OKu3x2Gb1d5trSUhXLJkCZ9ZQ0R9+vSJjo4uLi42+MjAIKTSdPDgwc26HZcfZ/lFSGM5zvIeh9KjlJrb49BYtSSE8+bNo87V1qVzu3jxolSa/v3vf3/k9rx9Fn/GMBE5OTmJb59144aeHof5+SKHZDgtCWFubu6ZM2cMPhRoO1VVVXPnzpVK0wedxuSVp3G1z+KVp0F6HBoro5jKBO1DqVTyG6kHDx6cmZmps/b48eM8e1ZWVgsWLDhtiMYNLddGPQ6NEkJoWi5cuMB71dnY2Hz77bc6a2fMmLFs2TKxvWR1exw6ORmyx6FRQghNTlVVVXBw8CNL03amVqv37NkT9OKL6m7d7sdv7FiWmGjgHodGCSE0UVJp6uPjc0HoXV06vWRPTZ7MFixg6ekCh9TOEELTdeHCBR8fHyKytbVNTExs/wFcunTJ1HrJ6oUQmrTKyspXX321nUvTB/WSNdnLXQghMKVSyScBPv3005facqY57yU7ePBgnj1LS8uQkJAO167K4BBCYIyxM2fODBw4kJemSUlJBn/9nJwc7V6yHh4e6CUrQQjhvsrKyqCgIKk0NcjdoUb4SC8jhBDCr8TFxVlaWjo4OBQVFbXmdcrLy2NjY/v168ezZ2Njg16yDyJjjBGAltOnT1dUVEyaNKllu2dkZKxbt27z5s3V1dVENHDgwDfeeCM0NFQ6Cwo6EEIwjMbGxl27dq1evXrv3r1EJJfLJ02aFBoaOnv2bOlmVNDLXO9SlUqVlJR0+PDh6upqd3f34OBgaeqgjosXLyYmJubn53fr1s3HxycoKEh6ePWxY8e2b9+us/24ceMCAgL4f+fk5GzevDk/P9/Ozs7b2/vVV1+V5oxCB3Lr1q2NGzeuXbu2sLCQiOzs7IKCgt577z3pLCg8QtMKtaysjHdZt7a2dnFxISIzM7PVq1frbKZWqyMjI2UymYWFhZubGz/x5eDgIE2wiIqKavp2X/zyLJvo6Gi5XK5QKFxdXXkH2x49epjoI2k7LGPscdgB6Qnhyy+/TERvvvkmv3R76tSp3r17y+XykydPam+2ceNGInrrrbf4kyvr6+s/++wzIvL19eUb8I5DentvJSUlEdGCBQt4O/SGhobly5cTkY+Pj6E/IBieMfY47Mh0Q5iXlyeTyVxcXLRPIm/YsIGI5syZo73ljRs3li1bpvMQX15P8rPbAQEBMpmspqam6bsWFxd//vnnOuepeW/820bWmBW08R6HvD4iI+lx2PHphnD16tVEtHjxYu2FFRUVVlZWdnZ2Dz/UqVQqKysrGxsbvpmvr2+PHj0ecxwNDQ329vYWFhYme++SkTPGHoedhe6JmQsXLhDR8OHDtRfa2dkNHDgwMzOzsLBQeoqgDpVK9eGHH9bW1n744Yf8ymxxcbGzs/P58+czMjJUKpWPj8+YMWOki7ba6uvrIyMjKyoqFi5cKP1vBiORlJS0fPnyjIwMIjI3Nw8MDFy4cOGECRNEj6sT0QnlSy+9RERN+/lMnDiRiPTOtv74448nTZrk4OBgZWUVHR3NC9SGhgZzc3OdyI0cOTL/131BoqOjJ0+e7OTkZGFh8cknn+ChvEZo4cKFZCQ9Djsp+RNabt68qVKpiMjKykonq3zuWV1dnd4km5ub29vb19bWpqWl5efnE5GZmdmOHTs2bNhQUFBQXV2dnZ0dEhJy8uTJF198Ua1WN91XpVLt3bv38uXLBjq2gMGEh4crlcrCwkLtZy2BIT2vpaSkhM+53rZtm05YR40aRURNG5No+/77783NzQcNGqT397rGxkb+IgcPHmy6dteuXQqFwt3dvdbQzyIGMHLyXVocHR09PDyI6ObNmzpZLSoqkslk0q2Aes2cOfO55567dOnSsWPHmq6Vy+XPPPMMEWVnZ+s9FsycObOgoODQoUMtO5oAdFBynb/zxwzs3LlTe+FPP/10/fr1YcOGSVNRHsTJyYmIysrK9K69e/cuEUmNg5u1L0BnpRtCf3//3r17p6WlZWZmSgtXrVpFRCEhIdpbZmZmLliwoLa2Vlpy7969/fv3E9GQIUPKy8s/+ugjfgsvV1RUtHXrVktLy2eeeSYnJ4fP45bW1tTUpKWl8X0N+fkAjF/TCnXz5s1E5ODg8OWXX3777beBgYFENGTIEH4JPjY21tPTMzExccWKFUQ0ePDg1atXp6amJiQk8JvdgoKCGGN//vOficjV1fWTTz755ptvoqOj+RfdX/7yF8bY2rVr6Ze7nFJTU9evX+/r60tEM2fObOdyHEA4/fMJlUplnz59eErNzMxmzJghzS77+OOPiWjt2rWMsaSkJP47JNe1a9dFixbxW2TUanVCQsKgQYOktQMGDNi0aZP0Flu2bOFTuTlra+uwsDBc/AUT9MCpTGq1+tKlS9XV1W5ubtJjCYiopqampqama9eulpaWfEleXt7Nmzft7Oy8vLyaXtu4fv16SUlJz5499Z7UuXLlSlFRka2trZeXl3QfMIBJwXxCAMF0T8wAQDtDCAEEQwgBBEMIAQRDCAEEQwgBBNPfbQ06lsbGxtzcXH5R18HB4ZHbM8bKy8uJyMzMzM7OTntVXV1dXl6eSqXq37+/vb29zo4NDQ0FBQVVVVWurq7aV4+hVQTfLACt9o9//IPfEkhEMplsypQpj2z6EhcXx7fX7qzV2Ni4bNkyqWOlQqEICQkpLy+XNli7dq10HxURPfHEE4cPH26jD2VSEMKObdOmTUTk6Oi4cuXKpKQkfpP9gAEDKioqHrRLYWGhra2tr6+vpaWldggXLVrE942NjY2Li5s6dSoRTZ48mXcMioyMJKLf/OY3GzZsSExMfPfddxUKRZcuXbKzs9vjc3ZqCGEHVlNT4+TkZG5urj3Z+q233iKiTz/99EF7zZgxQy6XHz9+3MrKSgrh1atX5XK5o6Oj9IxOtVrNO+Fv3769vr7e399/3rx52p2+eCwjIyPb5sOZEJyY6cD27t1bUlLi7++vPf8rPDyciBITE/XukpiYmJqaGh4ezrscSPbt26dWq+fOnSv9SimTyXh3mZSUFHNz87S0tPXr12s3DfLy8iKiyspKQ38sk4MQdmAnTpwgohdeeEF7oY+Pj4eHR05ODp9Cre327dvvv/++s7Pz0qVLdVbxLOk8s+Xpp58morNnz/K/6jTCS01NJSI/P79Wfw5Th7OjHVhBQQEROTs76yzv06fP1atXCwoKdEL13nvv3bp1a9u2bU1Pe3p6ehLRkSNHtBdaWFgQ0a1bt6QlFRUVp06dKi4uTk5O3rFjB3/ei+E+kIlCCDuwe/fuEVHTSwV8SVVVlfbC3bt3b968edq0abNmzWr6UlOnTvX09Pzhhx/CwsLmz59vYWFx4MAB/mwC7RZ7Fy9enDJlCv9vPz+/yMhIuRzFVGvhX7AD499U2j1EOB5O7bmd1dXV77zzjrW19Zo1a/S+lEKh2L59u4+Pz5o1a0aOHPnUU09FRkbOmzePiLQvJD799NOXL18+evToypUrMzMzhw8fzrtFQ2vgm7AD4ydRSktLdZbzZlnaV+3/9Kc/XblyZdGiRWq1+sqVK3whY0ylUl25cqVHjx7dunXz9vY+f/78kSNHLl++3LNnz/Hjx+fn58fExGjPxraysurfv3///v3Hjh3r7qsqWuoAAAL7SURBVO7+0ksvRUVFpaSktPUn7eREn56FlouPjyeihQsXai+srKzs0qWLnZ2d9rN6Hl40Ss+r05GQkEBEH3zwgd61t2/fJqIBAwYY8BOZJnwTdmDPP/+8XC7/7rvvvvrqK16aEtHWrVtrampmzZqlHbyvv/666e5hYWG9evVaunTpyJEjm65taGiIi4uTyWSvvfYaEWVlZfXt21e7NL1x4wb9uliFFhJ9FIBW4bfIzJs3jz+a88SJE05OTmZmZhkZGYyx9PT0devWPahvuvbFesZYYWFhbm4u/+/Lly/zByovWLCAMVZRUeHk5OTr63vu3Dm+wbVr18aPH09Ey5Yta9MPaAoQwo6tvLycX3a3tLTkN3YqFIp169bxtfx6YFxcnN59dUI4Y8YMIurRo4d0J+rcuXOlpxIolUre+tnZ2dnd3Z0/hn727Nl4lF3rodFTh9fQ0JCSknLo0KGqqioPD4/g4GDpYfEHDhzYt29fQECAzv0x3Mcff9yjRw9+yygRFRcXJyYmZmdn19XVubu7z5gxY8SIEdrbX79+PTExMTMz8+eff3Z1dZ02bRq/vxRaCSEEEAzXCQEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQRDCAEEQwgBBEMIAQT7f0JDv87GXgmOAAAAt3pUWHRyZGtpdFBLTCByZGtpdCAyMDIxLjAzLjQAAHice79v7T0GIOABYkYGCGABYmYgbmDkYNIAsZl0QUL+hgoKICV6IEIfRCgYgJRFRESY/wcCQ7CQEZg0hpj0wd6SjSkDZAQzI9gMZyOoGUwUmGEMNYOZDDOYIH5xNoGawUKKGdxMjApMDBpMzIwaTCIM4rDwYmD5lvzXvvMYtx2I86BAcv/1S89gbHsgex+IDVSzH6gGzBYDALMrPeAX0Wt2AAAAl3pUWHRNT0wgcmRraXQgMjAyMS4wMy40AAB4nKWQwQoCMQxE7/mK+YGWabftmrP1JCp48B+87/+zrZWy4C4UDDlkSPJgRlDrma/vBb18FgECMAHcbVXFy5OUeu+szprqROumFNtUtsQDR4htV4qhjaqh/YbI04ZyHqagU8wfFNMdmR9Hw5QSni/ZdOE+mi1Z/xU34HLPsgJaWTz5DMp5mwAAAIR6VFh0U01JTEVTIHJka2l0IDIwMjEuMDMuNAAAeJxVjDsKgDAQBa9iqbBZsq5J3ASr9OoVLCwlIpYe3gh+sBuGNy92MXZDcZSKUJxYAqWR2BoIGYwIOwGNjdFt7SC8Sn3uCe+ugmlPy7il1Wu8sE/7jHnPhj39DFnx9WfypbDn36RxfJxVKCmpyscJfgAAAABJRU5ErkJggg==\n", - "text/plain": [ - "" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "xyz_files = glob.glob(xyzName)\n", - "mol = Molecule('dichloropyridine26_q+0.xyz', 'xyz')\n", - "print(mol)\n", - "print(mol.visualize())\n", - "\n", - "# make a list of ChemML Molecule object instances based on the names of the xyz files from xyz_files\n", - "molecule_list = [Molecule(xyzName, input_type='xyz') for file in xyz_files]\n", - "\n", - "# alter the ChemML Molecule object instances of molecule_list so that their SMILES codes can be recognzied by RDKit\n", - "for molecule in molecule_list:\n", - " molecule.to_smiles()\n", - "\n", - "print(molecule_list)\n", - "\n", - "table = pd.DataFrame(data={'Name':xyzName, \n", - " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", - " columns=['Name','SMILES'])\n", - "\n", - "print(\" \")\n", - "print(\"\")\n", - "print(table)\n", - "\n", - "print(\" \")\n", - "smiles = table.iloc[0,1]\n", - "print(\"Our Molecule in SMILES format: \")\n", - "print(smiles)\n", - "print(\" \")\n", - "\n", - "\n", - "chem = Chem.MolFromPDBFile(pdbName, sanitize=True)\n", - "template = Chem.MolFromSmiles(smiles)\n", - "AllChem.Compute2DCoords(chem)\n", - "tempMol = AllChem.AssignBondOrdersFromTemplate(template,chem)\n", - "\n", - "def imageMolecule(chem,imageName):\n", - " \"\"\"\n", - " This function consolidates all calls done to generate the desired image\n", - " \"\"\"\n", - " \n", - " drawMolecule = rdMolDraw2D.MolDraw2DCairo(300, 300)\n", - " rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chem)\n", - " drawMolecule.drawOptions().addStereoAnnotation = True\n", - " \n", - " for i, atom in enumerate(tempMol.GetAtoms()):\n", - " atom.SetProp(\"atomNote\", f\"{np.round(float(espCharges[i]),3)}\")\n", - " print(espCharges[i])\n", - " \n", - " Chem.Draw.MolToFile(tempMol,imageName)\n", - "\n", - "\n", - "imageMolecule(tempMol,imageName)\n", - "\n", - "Image(imageName)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "9d4c4405", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e64c6d0d", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python [conda env:.conda-chemml_env] *", - "language": "python", - "name": "conda-env-.conda-chemml_env-py" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.10" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} From e7d3f1aec841b97a4cf9741eecad2d2a891c8806 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 16:57:57 -0400 Subject: [PATCH 098/126] Delete Annotate_3D_Chimera_Stage2.py --- .../annotate_3D/Annotate_3D_Chimera_Stage2.py | 84 ------------------- 1 file changed, 84 deletions(-) delete mode 100644 examples/annotate_3D/Annotate_3D_Chimera_Stage2.py diff --git a/examples/annotate_3D/Annotate_3D_Chimera_Stage2.py b/examples/annotate_3D/Annotate_3D_Chimera_Stage2.py deleted file mode 100644 index b2dba7fa..00000000 --- a/examples/annotate_3D/Annotate_3D_Chimera_Stage2.py +++ /dev/null @@ -1,84 +0,0 @@ -from chimerax.core.commands import run - -# END DEPENDENCIES -""" -THIS SCRIPT IS STAGE 2 OF A 3D MOLECULAR ANNOTATION PIPLINE -TO GENERATE THE INTERMEDIATE ATTRIBUTE FILE AND PDB FILE, RUN STAGE 1 SCRIPT FIRST - -THIS SCRIPT USES CHIMERAX AS A VISUALIZATION PLATFORM DISTRIBUTED BY THE UNIVERSITY OF CALIFORNIA SAN FRANCISCO - -CHIMERAX DAILY AND STABLE BUILDS AVAILABLE HERE: - - -TO EXECUTE THIS SCRIPT, RUN IN COMMAND LINE : - - chimerax - - -PARAMETERS - - session - This instructs ChimeraX to run all commands within the same environment, and does not need to be initialized - - moleculeFile, string - This string represents the input molecular file - - annotationFile, string ,must have *.defattr as suffix - This represents then name of the input annotation file - - attributeName, string - This is the name of the attribute factor being used, which can be found in the first line of the attributeFile - - outputFileName, string - This represents the output file name - - outputFileType, string - This represents the output file type - OPTIONS - CXS - CHIMERAX SAVE STATE - PNG - style, string - This represents how the molecule should be rendered - OPTIONS: - stick (default) - sphere - ball-and-stick - - units, string - This specifies that we are working with atoms, - - lighting, string - This specifies the lighting of the ChimeraX render window - OPTIONS: - simple (default) - full - -END PARAMETERS -""" - -def annotateChimerax(session,moleculeFile,annotationFile,attributeName,outputFileName,outputFileType,style,units,lighting): - run(session,'open %s' % (moleculeFile)) - run(session,'open %s' % (annotationFile)) - run(session,'label #1 %s attribute %s' %(units, attributeName) ) - run(session,'lighting %s' %(lighting)) - run(session,'save %s.%s' %(outputFileName, outputFileType)) - -# INPUT FILES -moleculeFile = 'dichloropyridine26_q+0.pdb' -annotationFile = 'attributeFile.defattr' - -# ATTRIBUTE NAME -attributeName = 'myFactor' - -#OUTPUT FILES -outputFileName = moleculeFile[:-4] -outputFileType = 'cxs' - -# VISUALIZATION PARAMETERS -style = 'stick' -units = 'atoms' -lighting = 'simple' - - -# ACTIVATE COMMAND -annotateChimerax(session,moleculeFile,annotationFile,attributeName,outputFileName,outputFileType,style,units,lighting) From 86d9ecd1570f697088ea88433251880ef2a1ba19 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 16:58:06 -0400 Subject: [PATCH 099/126] Delete Annotate_3D_Chimera_Stage1.ipynb --- .../Annotate_3D_Chimera_Stage1.ipynb | 315 ------------------ 1 file changed, 315 deletions(-) delete mode 100644 examples/annotate_3D/Annotate_3D_Chimera_Stage1.ipynb diff --git a/examples/annotate_3D/Annotate_3D_Chimera_Stage1.ipynb b/examples/annotate_3D/Annotate_3D_Chimera_Stage1.ipynb deleted file mode 100644 index 0f8943bb..00000000 --- a/examples/annotate_3D/Annotate_3D_Chimera_Stage1.ipynb +++ /dev/null @@ -1,315 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 28, - "id": "1f5c3fdd", - "metadata": {}, - "outputs": [], - "source": [ - "import iodata\n", - "from iodata import load_one,dump_one\n", - "import numpy as np\n", - "\n", - "import rdkit\n", - "from rdkit import Chem\n", - "from rdkit.Chem import PeriodicTable\n", - "\n", - "from chemml.chem import Molecule\n", - "\n", - "import os,glob,sys\n", - "\n", - "import pandas as pd \n" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "id": "8d549015", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "dichloropyridine26_q+0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "RDKit WARNING: [21:16:28] Counts line too short: '' on line4\n" - ] - } - ], - "source": [ - "inFile = 'dichloropyridine26_q+0.fchk'\n", - "loadInput = load_one(inFile)\n", - "dump_one(loadInput,'test.pdb')\n", - "dump_one(loadInput,'intermediateFile.xyz')\n", - "\n", - "interFile='intermediateFile.xyz'\n", - "molName = inFile[:-5]\n", - " \n", - "mol = Chem.MolFromMolFile('test.mol2')\n", - "print(molName)\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "id": "b6043f33", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "('Cl', 17)\n", - "('C', 6)\n", - "('C', 6)\n", - "('C', 6)\n", - "('C', 6)\n", - "('C', 6)\n", - "('Cl', 17)\n", - "('N', 7)\n", - "('H', 1)\n", - "('H', 1)\n", - "('H', 1)\n", - "[('Cl', 17), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('N', 7), ('H', 1), ('H', 1), ('H', 1)]\n", - "[('C', 6), ('C', 6), ('C', 6), ('C', 6), ('C', 6), ('Cl', 17), ('Cl', 17), ('H', 1), ('H', 1), ('H', 1), ('N', 7)]\n", - "[1, 1, 1, 6, 6, 6, 6, 6, 7, 17, 17]\n" - ] - } - ], - "source": [ - "symList = []\n", - "test = []\n", - "def rdkitProcessInputs(interFile,symList, test):\n", - " \"\"\"\n", - " This function consolidates all RDKit and Chemml calls into one function, generating\n", - " mol object to extract data from \n", - " \"\"\"\n", - " xyz_files = glob.glob(interFile)\n", - " molecule_list = [Molecule(interFile, input_type='xyz') for file in xyz_files]\n", - " for molecule in molecule_list:\n", - " molecule.to_smiles(kekuleSmiles=True)\n", - " table = pd.DataFrame(data={'Name':interFile, \n", - " 'SMILES':[molecule.smiles for molecule in molecule_list]}, \n", - " columns=['Name','SMILES'])\n", - " smiles = table.iloc[0,1]\n", - " interMol = Chem.MolFromSmiles(smiles)\n", - "\n", - " interMol = Chem.AddHs(interMol)\n", - " \n", - " for atom in interMol.GetAtoms():\n", - " step = atom.GetSymbol(),atom.GetAtomicNum()\n", - " stepTest = atom.GetSymbol()\n", - " test.append(stepTest)\n", - " print(step)\n", - " symList.append(step)\n", - " #print(atom.GetSymbol(), atom.GetAtomicNum(), atom.GetTotalNumHs())\n", - "\n", - "\n", - "rdkitProcessInputs(interFile,symList, test)\n", - "print(symList)\n", - "\n", - "temp = sorted(test)\n", - "print(sorted(symList))\n", - "print(sorted(numbers[:]))" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "id": "edf3a177", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "[(17, -0.119822758), (17, -0.119828567), (7, -0.538243531), (6, 0.260573695), (6, -0.453200648), (6, -0.4532028), (6, 0.499768812), (6, 0.499772652), (1, 0.0844758043), (1, 0.16985231), (1, 0.169855031)]\n" - ] - } - ], - "source": [ - "\n", - "espCharges = (loadInput.atcharges['esp'][:])\n", - "numbers = loadInput.atnums\n", - "\n", - "print(\"\")\n", - "\n", - "numChargeDict = []\n", - "for i in range(0,len(numbers)):\n", - " step=numbers[i],espCharges[i]\n", - " numChargeDict.append(step)\n", - " \n", - "print(numChargeDict)\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "id": "606397d7", - "metadata": {}, - "outputs": [ - { - "ename": "AttributeError", - "evalue": "'NoneType' object has no attribute 'GetAtoms'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m--------------------------------------\u001b[0m", - "\u001b[0;31mAttributeError\u001b[0mTraceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;32mfor\u001b[0m \u001b[0munit\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mmol\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mGetAtoms\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mstep\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34mf\"{unit.GetSymbol()}\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mtest\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mstep\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msorted\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtest\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mAttributeError\u001b[0m: 'NoneType' object has no attribute 'GetAtoms'" - ] - } - ], - "source": [ - "\n", - "for unit in mol.GetAtoms(): \n", - " step = f\"{unit.GetSymbol()}\"\n", - " test.append(step)\n", - " \n", - "print(sorted(test))\n", - "temp = sorted(test)" - ] - }, - { - "cell_type": "code", - "execution_count": 61, - "id": "0c73fda1", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "['Cl', 'C', 'C', 'C', 'C', 'C', 'Cl', 'N', 'H', 'H', 'H']\n", - "[17 17 7 6 6 6 6 6 1 1 1]\n", - "['C1', 'C1', 'C2', 'C3', 'C1', 'Cl1', 'Cl1', 'H1', 'H2', 'H1', 'N1']\n" - ] - } - ], - "source": [ - "redundantNumberDict = []\n", - "convertedSymDict = []\n", - "atomList = []\n", - "def ConvertAtomnumToAtomsym(convertedSymDict):\n", - " for i in range(0,len(numbers)):\n", - " if numbers[i] == symList[i][1]:\n", - " step = symList[i][0]\n", - " convertedSymDict.append(step)\n", - " elif numbers[i] != symList[i][1]:\n", - " step = symList[i][0]\n", - " convertedSymDict.append(step)\n", - " atomList.append(numbers[i])\n", - "ConvertAtomnumToAtomsym(convertedSymDict)\n", - "\n", - "print(convertedSymDict)\n", - "print(numbers[:])\n", - "convertedSymDict = (sorted(convertedSymDict))\n", - "\n", - "def RedundantAtomCheck(redundantNumberDict):\n", - " count = 0\n", - " \n", - " for i in range(len(numbers)):\n", - " if numbers[i] != numbers[i-1]:\n", - " count +=1\n", - " # print(f\"{numbers[i]} REDUNANT ATOM! APPENDING INTEGER!\")\n", - "\n", - " step = f\"{convertedSymDict[i]}{count}\"\n", - " redundantNumberDict.append(step)\n", - " \n", - " elif numbers[i] == numbers[i-1]: \n", - " count = 1\n", - " step = f\"{convertedSymDict[i]}{count}\"\n", - " redundantNumberDict.append(step)\n", - " count \n", - " return redundantNumberDict \n", - " \n", - "RedundantAtomCheck(redundantNumberDict)\n", - "print(redundantNumberDict)" - ] - }, - { - "cell_type": "code", - "execution_count": 60, - "id": "c0625011", - "metadata": {}, - "outputs": [], - "source": [ - "\n", - "f = open(\"attributeFile.defattr\", \"w\")\n", - "f.write(\"attribute: myFactor\\n\")\n", - "f.write(\"match mode: any\\n\")\n", - "f.write(\"recipient: atoms\\n\")\n", - "for i,p in enumerate(redundantNumberDict): \n", - " f.write(f\"\\t@{symList[i]}\\t{espCharges[i]} \\n\")\n", - "f.close() \n", - " \n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "098bb82d", - "metadata": {}, - "outputs": [], - "source": [ - " " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "b70985bd", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "a8b97f91", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "9ab1d882", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python [conda env:.conda-chemml_env] *", - "language": "python", - "name": "conda-env-.conda-chemml_env-py" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.10" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} From 39af5dc78534716e9d1510cdbb1417c8eaef64fa Mon Sep 17 00:00:00 2001 From: Nathan Wood 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zl^dx_ADpGdYsK*=ex{&e3q;3Qs0J7pmW<6RRNS0kiV+Io}`)`-*)Yx zV|?Yy$5}e@b-iz=v&Z*RW2K(pcw+18WyNh_;Cm|vilQhJV6Wg3f=6UzxJSvblG5g& z>md%@chT@dc5{STDu-aUh3v}cHG9K5%g_Dl{(H~1ASWs?y9WdEj$$y)an6r%HgJ5+m0uSBP_#VMy?Gf z(~j!;DIwn&YWG9;IktMoY{Qvs!sUsI*BYnA&D7(JdJQ2a`qJCWw|X^qZVP?FnDL1( zZ943Gz=i3Yu3oGS1bu;g%Ihy~g(y)VMvnj^^Q~NYd2rC--bqVmlOwfpYnQ4?t{mT| z+(LoEgAjs6=ER0)K?fJ3@Is^-M^SblU^b8k9A%hv8zed>Scmq-SBB#rG=Y=~6)z@? z?)EdTBgf_Fqw5MMmlqZm@`{Ox3EZU)MQ$=pK;RL8W*!9vg`W(|$v!toA(_nn{o?ZS zM&>*S)}U;PWDO`!_T9T*0~QY+>|t6!cSt=vJ2_$h-y@nH@SFen_`f{0wta!QrSq&p Ufypxk2K>|BucwixZWH)_0JJ?SHvj+t From 942501add822c4dc886be77e6d744073bbd0e238 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 17:02:40 -0400 Subject: [PATCH 101/126] Update README.md --- README.md | 70 +++++++++++++++++++++++++++++-------------------------- 1 file changed, 37 insertions(+), 33 deletions(-) diff --git a/README.md b/README.md index 7296fe3f..c4bdd2ea 100644 --- a/README.md +++ b/README.md @@ -1,11 +1,29 @@ # Google Summer of Code 2021: Exploring Alternative Visualizations for OpenChem QCDevs -Nathan Wood, Year 4 Undergraduate, University of Florida +Nathan Wood, Year 4 Undergraduate, Microbiology and Cell Science, University of Florida This project was prepared under the advisory of Dr. Farnaz Heidar-Zadeh, Dr. Paul Ayers, and Dr. Esteban Vohringer-Martinez ## Note: Submitted Work All work pertaining to objectives has been linked within the Results section. +For ease of access, links can also be found below: + +[Python Function of ChimeraX Isosurface Visualization](https://github.com/nwoodweb/chemtools/blob/master/examples/esp/chimerax_vis_esp.py) + +[Jupyter Notebook of 3D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_3D/3DimensionAnnotation.ipynb) + +[Python Script of 3D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_3D/3DimensionAnnotation.py) + +[Jupyter Notebook of 2D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_2D/2DAnnotate.ipynb) + +[Python Script of 2D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_2D/2DAnnotate.py) + +[Jupyter Notebook of Both Vector and Scalar Qualities](https://github.com/nwoodweb/chemtools/blob/master/examples/plotting/2D_Plotting_Gradient.ipynb) + +[Python Script of Field Plot](https://github.com/nwoodweb/chemtools/blob/master/examples/plotting/plotVectorField.py) + +[Python Script of Contour Plot](https://github.com/nwoodweb/chemtools/blob/master/examples/plotting/plotScalarContour.py) + ## Introduction OpenChem wishes to implement a means of visualizing Chemtools data. Such @@ -37,6 +55,7 @@ annotations. ## Results ### Visualizing Electrostatic Potential Isosurfaces + [Python function can be found here](https://github.com/nwoodweb/chemtools/blob/master/examples/esp/chimerax_vis_esp.py) A script, consolidated as function `print_chimerax_isosurfaces`, has @@ -61,7 +80,9 @@ Environment: and `scalemax` parameters within the script ### 3D Annotation of Molecules + [Jupyter Notebook of 3D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_3D/3DimensionAnnotation.ipynb) + [Python Script of 3D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_3D/3DimensionAnnotation.py) IOData can output to Protein Data Bank (PDB) files, a text file that @@ -87,7 +108,9 @@ using its labeling utilities. ### 2D Annotation of Molecules + [Jupyter Notebook of 2D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_2D/2DAnnotate.ipynb) + [Python Script of 2D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_2D/2DAnnotate.py) IOData is used to dump an XYZ and PDB files from the original Gaussian @@ -113,6 +136,7 @@ be assigned iteratively. ### Plotting of Vector and Scalar Qualities of Molecules + [Jupyter Notebook of Both Vector and Scalar Qualities](https://github.com/nwoodweb/chemtools/blob/master/examples/plotting/2D_Plotting_Gradient.ipynb) [Python Script of Field Plot](https://github.com/nwoodweb/chemtools/blob/master/examples/plotting/plotVectorField.py) @@ -133,6 +157,7 @@ by: - Visualizing the vector quality as a gradient vector field \"Quiver Plot\" +Gradient Vector Field of 2,6-Dichloropyridine To plot a scalar quality, in this case electron density, we want to @@ -143,28 +168,15 @@ To plot a scalar quality, in this case electron density, we want to - Visualizing the scalar quality as a contour plot, with our `scalarFunc` representing the level curves + +Contour Plot for Electron Densityof 2,6-Dichloropyridine ## Post Mortem -### IOData Error in 2D Annotations -When working with other molecules, such as Acrolein, IOData will throw -the following error - - Exception ignored in: - Traceback (most recent call last): - File "/home/woodn/.conda/envs/chemml_env/lib/python3.7/site-packages/iodata/utils.py", line 80, in __del__ - self.f.close() - AttributeError: 'LineIterator' object has no attribute 'f' - -Despite this error, IOData still dumps the necessary XYZ and PDB Files, -and the RDKit visualization is complete. -::: center -![Acrolein, Annotated Using IOData Derived Electrostatic Potential -Charges](acroleinerror.png){width="3in"} -::: -Acrolein Visualization despite IOData error +### Administrative +While debug and deprecated code has been removed, parameters for functions need to be explicitly detailed ### Discrepancies between VMD and ChimeraX There is a discrepancy between appropriate values to display isosurface @@ -176,17 +188,15 @@ uncolored void that can be corrected when setting `isoSurf` to .005. isoSurf=.003 AisoSurf=.005 - - ![Example of Volume discrepancy, .003 (left) and .005 (right) in -ChimeraX Rainbow Palette](vmdfail.png "fig:"){width="2in"} ![Example of -Volume discrepancy, .003 (left) and .005 (right) in ChimeraX Rainbow -Palette](vmdcorrect.png "fig:"){width="1.925in"} - +### Molecular Graphs +The original goal of visualizing molecular graphs detailing the critical points of bonds and ring structures was not fulfilled -### Molecular Graphs ## Moving Forward ### Administrative +1. Code that has been consolidated into functions should have a more detailed explanation of use and parameters +2. Future GSOC internships should make further use of correspondence +methods such as Email, Github threads, Slack, and Zoom. ### Converting IOData Output into Chemical JSON In order to improve interoperability with Avogadro2, it will be @@ -198,7 +208,7 @@ nontrivial, considerable work will have to be done to correctly format quantum chemistry data. ### Molecular Graphs - +There remains the need to implement a means to visualize bond and ring critical points. ## Special Thanks I would like to extend great thanks to the following individuals for @@ -212,7 +222,7 @@ assisting and granting me flexibility: - Victor Canogil -- Toon Vestralen +- Toon Vestraelen - Gabriella S.D. @@ -220,14 +230,8 @@ assisting and granting me flexibility: -   Geoff Hutchinson, Avogadro2 Lead - - Elaine Meng, PhD, ChimeraX Development Team, University of California San Francisco - Anthony Schaefer, PhD, ChimeraX Development Team, University of California San Francisco - - -## Works Cited - - From 0c39a2801ca82920df7b52bdc0bed38040712d26 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 20 Aug 2021 17:56:52 -0400 Subject: [PATCH 102/126] improved comments and formatting --- examples/plotting/2D_Plotting_Gradient.ipynb | 120 +++++++++---------- examples/plotting/plotScalarContour.py | 3 +- examples/plotting/plotVectorField.py | 75 ++++++++---- 3 files changed, 111 insertions(+), 87 deletions(-) diff --git a/examples/plotting/2D_Plotting_Gradient.ipynb b/examples/plotting/2D_Plotting_Gradient.ipynb index 32aba403..66bb1176 100644 --- a/examples/plotting/2D_Plotting_Gradient.ipynb +++ b/examples/plotting/2D_Plotting_Gradient.ipynb @@ -284,24 +284,16 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 3, "metadata": {}, - "outputs": [ - { - "ename": "SyntaxError", - "evalue": "invalid syntax (, line 115)", - "output_type": "error", - "traceback": [ - "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m115\u001b[0m\n\u001b[0;31m plt.savefig(f\"{imageName}.png\")\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" - ] - } - ], + "outputs": [], "source": [ "def plotVectorFieldOverPlane(inFile,step_size=0.32, title=''):\n", " \"\"\"\n", " This script will plot a vector quality of a molecule as a gradient plot\n", " \n", - " CONDA ENVIRONMENT\n", + " Conda Environment\n", + " -----------------\n", " This function must be executed in a conda environment containing: \n", " chemtools\n", " \n", @@ -312,8 +304,22 @@ " Numpy\n", " MatPlotLib \n", " \n", - " PARAMETERS\n", + " Parameters\n", + " -----------\n", + " \n", + " inFile : str\n", + " This represents our input file.\n", + " Our example is dichloropyridine26_q+0.fchk\n", " \n", + " stepSize : float\n", + " Step Size of 2D Affine Grid\n", + " \n", + " title : str\n", + " Title of plot\n", + " \n", + " mol : chemtools object\n", + " load inFile as chemtools Molecule module\n", + " \n", " coord1 : np.ndarray()\n", " First point on plane \n", " \n", @@ -324,33 +330,31 @@ " Third Point on plane\n", " \n", " normal : np.cross()\n", - " orthonormalization of coordinates\n", + " Orthonormalization of coordinates\n", + " \n", + " rot : np.array()\n", + " Our rotation matrix\n", + " \n", + " rot_coords : np.dot()\n", + " Pass our coordinates through the rotation matrix to rotate our affine plane\n", + " \n", + " grid_zeros : np.hstack()\n", + " Populate our affine plane with zeros to then populate with our computer vector function\n", " \n", " vectorFunc : callabel() \n", " Vector Field that inputs 3D point to 3D point \n", " In this example, vectorFunc is mol.compute_gradient()\n", - " \n", - " \n", - " stepSize : float\n", - " Step Size of 2D Affine Grid\n", " \n", - " title : str\n", - " Title of plot\n", - " \n", " color : str\n", " Color of Gradient Arrows \n", " \n", " scale : int\n", " Scale of Gradient Arrows\n", + " \n", + " --------------\n", + " End Parameters\n", " \"\"\"\n", - " # DEPENDENCIES\n", - " import numpy as np\n", - "\n", - " import matplotlib.pyplot as plt\n", - " from mpl_toolkits import mplot3d\n", - "\n", - " from chemtools import Molecule\n", - " #END DEPENDENCIES\n", + " \n", " \n", " mol = Molecule.from_file(inFile)\n", " coord = mol.coordinates\n", @@ -402,6 +406,8 @@ " \n", " # Rotate Projected Plane.\n", " rot_proj_gradients /= np.linalg.norm(rot_proj_gradients, axis=1).reshape((-1, 1))\n", + " \n", + " #Visualize our plot \n", " plt.figure(figsize=(10,10))\n", " plt.quiver(grid_2d[:, 0], grid_2d[:, 1],\n", " rot_proj_gradients[:, 0], rot_proj_gradients[:, 1],color='black', scale=45)\n", @@ -410,20 +416,19 @@ " \n", " plt.title(title)\n", " \n", - " imageName = inFile[:-5]\n", - " plt.savefig(f\"{imageName}.png\")" + " " ] }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Initialized: \n", + "Initialized: \n", " Number of basis functions : 219\n", " Number of normalization constants : 453\n", " Maximum shell type : 2\n", @@ -487,7 +492,7 @@ "Scalar qualities, such as electron density, cannot be visualized as a gradient field. Instead, we can represent these qualities as level curves of a contour plot\n", "\n", "## Rotation Matrix\n", - "Much like the previous function detailing the creating of a 3D rotation matrix to rotate our affine plane, for scalar qualities, we will use a 2D Rotation matrix instead.\n", + "Much like the previous function detailing the creating of a 3D rotation matrix to rotate our affine plane.\n", "\n", "## Computing our Qualities Against the Affine Plane\n", "In this example, we use `mol.compute_density()` to compute electron density against the affine plane. \n", @@ -500,25 +505,17 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 5, "metadata": {}, - "outputs": [ - { - "ename": "SyntaxError", - "evalue": "invalid syntax (, line 96)", - "output_type": "error", - "traceback": [ - "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m96\u001b[0m\n\u001b[0;31m plt.savefig(f\"{fileName}.png\")\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" - ] - } - ], + "outputs": [], "source": [ "\n", "def plotScalarFunctionContourPlot(inFile, step_size=0.3, title= 'Contour Plot'):\n", " \"\"\"\n", " This script will plot a vector quality of a molecule as a gradient plot\n", " \n", - " CONDA ENVIRONMENT\n", + " Conda Environment\n", + " -----------------\n", " This function must be executed in a conda environment containing: \n", " chemtools\n", " \n", @@ -528,7 +525,9 @@ " \n", " Numpy\n", " MatPlotLib \n", - " PARAMETERS\n", + " \n", + " Parameters\n", + " ----------\n", " \n", " inFile, str\n", " This represents our input Gaussian Checkpoint *.fchk file\n", @@ -603,24 +602,23 @@ " # reshape level curves array to resemble length of x and y , with Fortran style iteration\n", " scalarFuncPlot = scalarFunc.reshape((len(x_grid), len(y_grid)), order=\"F\")\n", " plt.figure(figsize=(10,10))\n", + " plt.contour(x_grid,y_grid,scalarFuncPlot, levels )\n", " plt.title(\"Contour Plot of Electrostatic Density\")\n", "\n", - " plt.contour(x_grid,y_grid,scalarFuncPlot, levels )\n", - " fileName = inFile[:-5]\n", - " \n", - " plt.savefig(f\"{fileName}.png\")" + " plt.show()\n", + " " ] }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Initialized: \n", + "Initialized: \n", " Number of basis functions : 219\n", " Number of normalization constants : 453\n", " Maximum shell type : 2\n", @@ -677,21 +675,19 @@ } ], "source": [ + "import numpy as np\n", + "\n", + "import matplotlib.pyplot as plt\n", + "from mpl_toolkits import mplot3d\n", + "\n", + "from chemtools import Molecule\n", + "\n", "inFile = 'dichloropyridine26_q+0.fchk'\n", "\n", "\n", "plotScalarFunctionContourPlot(inFile,step_size=0.3, title='Contour Plot' )" ] }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "print(scalarFunc)" - ] - }, { "cell_type": "code", "execution_count": null, diff --git a/examples/plotting/plotScalarContour.py b/examples/plotting/plotScalarContour.py index cbdea908..99efa9d4 100644 --- a/examples/plotting/plotScalarContour.py +++ b/examples/plotting/plotScalarContour.py @@ -2,6 +2,7 @@ import matplotlib.pyplot as plt from mpl_toolkits import mplot3d from chemtools import Molecule + def plotScalarFunctionContourPlot(inFile, step_size=0.3, title= 'Contour Plot'): """ This script will plot a vector quality of a molecule as a gradient plot @@ -97,7 +98,7 @@ def plotScalarFunctionContourPlot(inFile, step_size=0.3, title= 'Contour Plot'): plt.show() #END FUNCTION - +# Example using 2,6-Dichloropyridine inFile = 'dichloropyridine26_q+0.fchk' plotScalarFunctionContourPlot(inFile, step_size=0.3, title= 'Contour Plot') diff --git a/examples/plotting/plotVectorField.py b/examples/plotting/plotVectorField.py index 0bc14c4a..44cf8d94 100644 --- a/examples/plotting/plotVectorField.py +++ b/examples/plotting/plotVectorField.py @@ -1,8 +1,16 @@ +import numpy as np + +import matplotlib.pyplot as plt +from mpl_toolkits import mplot3d + +from chemtools import Molecule + def plotVectorFieldOverPlane(inFile,step_size=0.32, title='Plot of Vector Field'): """ This script will plot a vector quality of a molecule as a gradient plot - CONDA ENVIRONMENT + Conda Environment + ----------------- This function must be executed in a conda environment containing: chemtools @@ -12,9 +20,27 @@ def plotVectorFieldOverPlane(inFile,step_size=0.32, title='Plot of Vector Field' Numpy MatPlotLib + + Yields + ------ + This function will produce a gradient vector field representing the desired vector quality. - PARAMETERS + Parameters + ----------- + + inFile : str + This represents our input file. + Our example is dichloropyridine26_q+0.fchk + + stepSize : float + Step Size of 2D Affine Grid + + title : str + Title of plot + mol : chemtools object + load inFile as chemtools Molecule module + coord1 : np.ndarray() First point on plane @@ -25,47 +51,46 @@ def plotVectorFieldOverPlane(inFile,step_size=0.32, title='Plot of Vector Field' Third Point on plane normal : np.cross() - orthonormalization of coordinates + Orthonormalization of coordinates + + rot : np.array() + Our rotation matrix + + rot_coords : np.dot() + Pass our coordinates through the rotation matrix to rotate our affine plane + + grid_zeros : np.hstack() + Populate our affine plane with zeros to then populate with our computer vector function vectorFunc : callabel() Vector Field that inputs 3D point to 3D point In this example, vectorFunc is mol.compute_gradient() - - - stepSize : float - Step Size of 2D Affine Grid - title : str - Title of plot - color : str Color of Gradient Arrows scale : int Scale of Gradient Arrows + + -------------- + End Parameters """ - # DEPENDENCIES - import numpy as np - - import matplotlib.pyplot as plt - from mpl_toolkits import mplot3d - - from chemtools import Molecule - #END DEPENDENCIES + # Obtain Coordinates mol = Molecule.from_file(inFile) coord = mol.coordinates coord1 = coord[0] coord2 = coord[1] coord3 = coord[2] + #Obtain Orthonormal v1, v2 = coord2 - coord1, coord3 - coord1 normal = np.cross(v1, v2) normal /= np.linalg.norm(normal) a, b, c = normal - + # Rotate and Scale Operation a,b,c = normal cos_theta = c sin_theta = np.sqrt(a**2.0 + b**2.0) @@ -89,7 +114,7 @@ def plotVectorFieldOverPlane(inFile,step_size=0.32, title='Plot of Vector Field' y_grid = np.arange(l_bnd[1], u_bnd[1] + step_size, step_size) grid_2d = np.array(np.meshgrid(x_grid, y_grid)).T.reshape(-1,2) - # Add zero z-axis and rotate it and translate it to the plane + # Populate Affine Plane with Zeroes to then Populate Vector Qualities grid_zeros = np.hstack((grid_2d, np.zeros((grid_2d.shape[0], 1), dtype=np.float))) grid_plane = np.einsum("ij,kj->ki", rot.T, grid_zeros) grid_plane += coord[0] @@ -103,6 +128,8 @@ def plotVectorFieldOverPlane(inFile,step_size=0.32, title='Plot of Vector Field' # Rotate Projected Plane. rot_proj_gradients /= np.linalg.norm(rot_proj_gradients, axis=1).reshape((-1, 1)) + + #Visualize our Plot plt.figure(figsize=(10,10)) plt.quiver(grid_2d[:, 0], grid_2d[:, 1], rot_proj_gradients[:, 0], rot_proj_gradients[:, 1],color='black', scale=45) @@ -110,11 +137,11 @@ def plotVectorFieldOverPlane(inFile,step_size=0.32, title='Plot of Vector Field' plt.legend() plt.title(title) + plt.show() - plt.show() - - #END FUNCTION - + # END FUNCTION + +# Example Using 2,6-Dichloropyridine inFile = 'dichloropyridine26_q+0.fchk' plotVectorFieldOverPlane(inFile,step_size=0.32, title='Plot of Vector Field') From 6041bd404d4e0b496ec3a3a96321d2e385987c01 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 20 Aug 2021 17:59:17 -0400 Subject: [PATCH 103/126] improved annotations per Alis suggestion --- examples/annotate_2D/2DAnnotate.ipynb | 153 +++++++++++++------------- examples/annotate_2D/2DAnnotate.py | 70 +++++++----- examples/esp/chimerax_vis_esp.py | 148 ++++++++++++++----------- 3 files changed, 196 insertions(+), 175 deletions(-) diff --git a/examples/annotate_2D/2DAnnotate.ipynb b/examples/annotate_2D/2DAnnotate.ipynb index f42e476c..bca12ef5 100644 --- a/examples/annotate_2D/2DAnnotate.ipynb +++ b/examples/annotate_2D/2DAnnotate.ipynb @@ -8,7 +8,7 @@ "# 2D Annotations of Molecules \n", "\n", "## Introduction\n", - "The goal of this project is to render a 2 dimensional molecular drawing with annotations detailing a specific feature per atom. \n", + "The goal of this project is to render a 2 dimensional molecular drawing (png file) with annotations detailing a specific feature per atom. \n", "\n", "This example uses 2,6-Dichloropyridine as an input.\n", "\n", @@ -24,7 +24,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 1, "id": "3744a11c", "metadata": {}, "outputs": [], @@ -65,7 +65,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 2, "id": "ee68d1a9", "metadata": { "scrolled": true @@ -119,7 +119,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 3, "id": "22744f1d", "metadata": {}, "outputs": [ @@ -128,35 +128,39 @@ "output_type": "stream", "text": [ "[,\n", - " pybel_molecule : ,\n", - " creator : ('XYZ', 'acrolein_q+0.xyz'),\n", - " smiles : 'C=CC=O',\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", + " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", + " smiles : 'Clc1cccc(Cl)n1',\n", " smarts : None,\n", " inchi : None,\n", - " xyz : )>]\n", + " xyz : )>]\n", " \n", "\n", - " Name SMILES\n", - "0 acrolein_q+0.xyz C=CC=O\n", + " Name SMILES\n", + "0 dichloropyridine26_q+0.xyz Clc1cccc(Cl)n1\n", " \n", "Our Molecule in SMILES format: \n", - "C=CC=O\n", + "Clc1cccc(Cl)n1\n", " \n", - "-0.473096529\n", - "-0.16880218\n", - "0.492524424\n", - "-0.353041221\n" + "-0.119822758\n", + "-0.119828567\n", + "-0.538243531\n", + "0.260573695\n", + "-0.453200648\n", + "-0.4532028\n", + "0.499768812\n", + "0.499772652\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "" ] }, - "execution_count": 6, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -227,16 +231,35 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 5, "id": "e64c6d0d", "metadata": {}, "outputs": [], "source": [ + "from iodata import load_one, dump_one\n", + " \n", + "import glob\n", + "import os\n", + " \n", + "import numpy as np\n", + "import pandas as pd\n", + " \n", + "from chemml.chem import Molecule\n", + "\n", + "from rdkit import Chem\n", + "from rdkit.Chem import AllChem\n", + "from rdkit.Chem.rdchem import Atom\n", + "from rdkit.Chem import Draw\n", + "from rdkit.Chem.Draw import rdMolDraw2D\n", + "from rdkit.Chem.Draw import MolToImage\n", + "from rdkit.Chem.Draw import DrawingOptions\n", + " \n", "def annotation2D(inputName):\n", " \"\"\"\n", " This function is designed to consolidate what is necessary to use RDKit to visualize molecular data onto a 2D representation of a molecule\n", " \n", - " CONDA ENVIRONMENT\n", + " Conda Environment\n", + " -----------------\n", " This function requires a conda environment containing\n", " 1. Pandas\n", " 2. Numpy\n", @@ -244,11 +267,21 @@ " 4. OS\n", " 5. Chemml\n", " 6. RDKit \n", - " \n", - " PARAMETERS:\n", + " Yields\n", + " ------\n", + " This function produces a PNG image of our input molecule (inFile), annotated with our assigned values (annotateValue)\n", + " Parameters\n", + " ----------\n", " inputName, str\n", " The file name of the Gaussian Checkpoint *.fchk file that will be processed\n", " \n", + " annotateValue : IOData Call\n", + " This represents the value that we want to annotate our molecule with.\n", + " While annotateValue does not necessarily need to be an IOData Call, this example uses IOData's atcharges['esp'][:]\n", + " IOData Examples can be found here\n", + " \n", + " https://iodata.readthedocs.io/en/latest/index.html\n", + " \n", " xyzName, str\n", " Derived from inputName\n", " This represents the name of the intermediate XYZ File in which the SMILES format is extracted from\n", @@ -291,31 +324,9 @@ " This represents our RDKit object being visualized\n", " MolDraw2DCairo is used to output to PNG\n", " \n", - " \n", - " END PARAMETERS\n", - "\n", + " -------------- \n", + " End Parameters\n", " \"\"\"\n", - "\n", - " #DEPENDENCIES \n", - " from iodata import load_one, dump_one\n", - " \n", - " import glob\n", - " import os\n", - " \n", - " import numpy as np\n", - " import pandas as pd\n", - " \n", - " from chemml.chem import Molecule\n", - "\n", - " from rdkit import Chem\n", - " from rdkit.Chem import AllChem\n", - " from rdkit.Chem.rdchem import Atom\n", - " from rdkit.Chem import Draw\n", - " from rdkit.Chem.Draw import rdMolDraw2D\n", - " from rdkit.Chem.Draw import MolToImage\n", - " from rdkit.Chem.Draw import DrawingOptions\n", - " \n", - " # END DEPENDENCIES\n", " \n", " loadInput = load_one(inputName) \n", "\n", @@ -334,6 +345,7 @@ " # EDIT annotateValue TO CHANGE ANNOTATIONS \n", " annotateValue = loadInput.atcharges['esp'][:] #EDITABLE \n", "\n", + " # Extract SMILES String from XYZ Intermediate\n", " xyz_files = glob.glob(xyzName)\n", " mol = Molecule('dichloropyridine26_q+0.xyz', 'xyz')\n", "\n", @@ -354,22 +366,23 @@ " print(smiles)\n", " print(\" \")\n", " \n", + " # Force PDB Intermediate Bond Orders to SMILES String \n", " chem = Chem.MolFromPDBFile(pdbName, sanitize=True)\n", " template = Chem.MolFromSmiles(smiles)\n", " AllChem.Compute2DCoords(chem)\n", " tempMol = AllChem.AssignBondOrdersFromTemplate(template,chem)\n", "\n", - " # THE FOLLOWING STEPS WILL VISUALIZE OUR MOLECULE\n", + " # Visualize Molecule\n", " \n", " drawMolecule = rdMolDraw2D.MolDraw2DCairo(300, 300)\n", " rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chem)\n", " drawMolecule.drawOptions().addStereoAnnotation = True\n", " \n", - " # NOW WE CAN ANNOTATE OUR MOLECULE\n", + " # Annotate Molecule\n", " for i, atom in enumerate(tempMol.GetAtoms()):\n", " atom.SetProp(\"atomNote\", f\"{np.round(float(annotateValue[i]),3)}\") \n", " \n", - " # OUTPUT VISUALIZATION TO FILE \n", + " # Output Visualization to File\n", " Chem.Draw.MolToFile(tempMol,imageName) \n", " print(\" \")\n", " print(f\"The molecule {molName} has been annotated and output as file {imageName}\")\n", @@ -379,7 +392,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 6, "id": "642ee7cb", "metadata": {}, "outputs": [ @@ -388,50 +401,34 @@ "output_type": "stream", "text": [ "Molecule Name : \n", - "dichloropyridine26_q+0\n", - "dichloropyridine26_q+0.xyz\n", + "acrolein_q+0\n", + "acrolein_q+0.xyz\n", "[,\n", - " pybel_molecule : ,\n", - " creator : ('XYZ', 'dichloropyridine26_q+0.xyz'),\n", - " smiles : 'Clc1cccc(Cl)n1',\n", + " rdkit_molecule : ,\n", + " pybel_molecule : ,\n", + " creator : ('XYZ', 'acrolein_q+0.xyz'),\n", + " smiles : 'C=CC=O',\n", " smarts : None,\n", " inchi : None,\n", - " xyz : )>]\n", + " xyz : )>]\n", " \n", - " Name SMILES\n", - "0 dichloropyridine26_q+0.xyz Clc1cccc(Cl)n1\n", + " Name SMILES\n", + "0 acrolein_q+0.xyz C=CC=O\n", " \n", "Our Molecule in SMILES format: \n", - "Clc1cccc(Cl)n1\n", + "C=CC=O\n", " \n", " \n", - "The molecule dichloropyridine26_q+0 has been annotated and output as file dichloropyridine26_q+0.png\n", + "The molecule acrolein_q+0 has been annotated and output as file acrolein_q+0.png\n", " \n" ] } ], "source": [ "\n", - "inputName = 'dichloropyridine26_q+0.fchk'\n", + "inputName = 'acrolein_q+0.fchk'\n", "annotation2D(inputName)\n" ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "3ca37bff", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e8469494", - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/examples/annotate_2D/2DAnnotate.py b/examples/annotate_2D/2DAnnotate.py index b5a36887..0f6fef04 100644 --- a/examples/annotate_2D/2DAnnotate.py +++ b/examples/annotate_2D/2DAnnotate.py @@ -1,8 +1,27 @@ +from iodata import load_one, dump_one + +import glob +import os + +import numpy as np +import pandas as pd + +from chemml.chem import Molecule + +from rdkit import Chem +from rdkit.Chem import AllChem +from rdkit.Chem.rdchem import Atom +from rdkit.Chem import Draw +from rdkit.Chem.Draw import rdMolDraw2D +from rdkit.Chem.Draw import MolToImage +from rdkit.Chem.Draw import DrawingOptions + def annotation2D(inputName): """ This function is designed to consolidate what is necessary to use RDKit to visualize molecular data onto a 2D representation of a molecule - CONDA ENVIRONMENT + Conda Environment + ----------------- This function requires a conda environment containing 1. Pandas 2. Numpy @@ -10,11 +29,21 @@ def annotation2D(inputName): 4. OS 5. Chemml 6. RDKit - - PARAMETERS: + Yields + ------ + This function produces a PNG image of our input molecule (inFile), annotated with our assigned values (annotateValue) + Parameters + ---------- inputName, str The file name of the Gaussian Checkpoint *.fchk file that will be processed + annotateValue : IOData Call + This represents the value that we want to annotate our molecule with. + While annotateValue does not necessarily need to be an IOData Call, this example uses IOData's atcharges['esp'][:] + IOData Examples can be found here + + https://iodata.readthedocs.io/en/latest/index.html + xyzName, str Derived from inputName This represents the name of the intermediate XYZ File in which the SMILES format is extracted from @@ -57,31 +86,9 @@ def annotation2D(inputName): This represents our RDKit object being visualized MolDraw2DCairo is used to output to PNG - - END PARAMETERS - + -------------- + End Parameters """ - - #DEPENDENCIES - from iodata import load_one, dump_one - - import glob - import os - - import numpy as np - import pandas as pd - - from chemml.chem import Molecule - - from rdkit import Chem - from rdkit.Chem import AllChem - from rdkit.Chem.rdchem import Atom - from rdkit.Chem import Draw - from rdkit.Chem.Draw import rdMolDraw2D - from rdkit.Chem.Draw import MolToImage - from rdkit.Chem.Draw import DrawingOptions - - # END DEPENDENCIES loadInput = load_one(inputName) @@ -100,6 +107,7 @@ def annotation2D(inputName): # EDIT annotateValue TO CHANGE ANNOTATIONS annotateValue = loadInput.atcharges['esp'][:] #EDITABLE + # Extract SMILES String from XYZ Intermediate xyz_files = glob.glob(xyzName) mol = Molecule('dichloropyridine26_q+0.xyz', 'xyz') @@ -120,22 +128,23 @@ def annotation2D(inputName): print(smiles) print(" ") + # Force PDB Intermediate Bond Orders to SMILES String chem = Chem.MolFromPDBFile(pdbName, sanitize=True) template = Chem.MolFromSmiles(smiles) AllChem.Compute2DCoords(chem) tempMol = AllChem.AssignBondOrdersFromTemplate(template,chem) - # THE FOLLOWING STEPS WILL VISUALIZE OUR MOLECULE + # Visualize Molecule drawMolecule = rdMolDraw2D.MolDraw2DCairo(300, 300) rdMolDraw2D.PrepareAndDrawMolecule(drawMolecule, chem) drawMolecule.drawOptions().addStereoAnnotation = True - # NOW WE CAN ANNOTATE OUR MOLECULE + # Annotate Molecule for i, atom in enumerate(tempMol.GetAtoms()): atom.SetProp("atomNote", f"{np.round(float(annotateValue[i]),3)}") - # OUTPUT VISUALIZATION TO FILE + # Output Visualization to File Chem.Draw.MolToFile(tempMol,imageName) print(" ") print(f"The molecule {molName} has been annotated and output as file {imageName}") @@ -143,6 +152,7 @@ def annotation2D(inputName): #END FUNCTION +# Example using 2,6-Dichloropyridine inputName = 'dichloropyridine26_q+0.fchk' annotation2D(inputName) diff --git a/examples/esp/chimerax_vis_esp.py b/examples/esp/chimerax_vis_esp.py index fc53e908..7fca52f3 100644 --- a/examples/esp/chimerax_vis_esp.py +++ b/examples/esp/chimerax_vis_esp.py @@ -1,78 +1,99 @@ -def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, isoSurf, material, scalemin,scalemax,colorscheme,representation, lighting, shadows): + +from chimerax.core.commands import run +from chimerax.core import errors +from chimerax import io + +def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, isoSurf, material='shiny', scalemin='compute',scalemax='compute',colorscheme='rainbow',representation='surface', lighting='full', shadows='False'): """ - THIS SCRIPT IS DESIGNED TO TAKE GAUSSIAN CUBE FILES AND VISUALIZE THE FILES IN CHIMERAX - - TO EXECUTE SCRIPT RUN : + This script is designed to visualize the electrostatic potential isosurfaces generated from Chemtools (original file is a Gaussian Checkpoint, then processed to cube files *_esp.cube and *_rho.cube, representing the surface and map files respectively) + + Execution + ---------- + To execute, run: - chimerax - - ChimeraX can be found here, with stable and nightly releases : + chimerax + Download ChimeraX + ----------------- + ChimeraX can be found here, with stable and nightly releases : - https://www.cgl.ucsf.edu/chimerax/download.html + https://www.cgl.ucsf.edu/chimerax/download.html - PARAMETERS : - session, as is + Parameters + ---------- + session : as is ChimeraX uses this to recognize to run this within the same session - outFile, str + + outFile : str name of output file - outSuffix, str + + outSuffix " str Suffix of output file - OPTIONS: - XYZ - PDB - CXS (DEFAULT CHIMERAX SAVE STATE) - PNG - CUBE - isoFile, str + Options: + xyz + pdb + cxs (ChimeraX save file) ) + png (default) + cube + + isoFile : str Input file to create the volume isosurfaces, - Should have suffic *_esp.cube - colorFile + Should have suffix *_esp.cube + + colorFile : str Input file to use as a color map should have suffix *_rho.cube - isoSurf, float + + isoSurf : float This float instructs ChimeraX to display a certain isosurface level - material, str - define the material for the surface volume rendering - OPTIONS: - shiny + NOTE: There are disparities between appropriate values for VMD visualization and ChimeraX Visualization + + material : str + This defines the material for the surface volume rendering + Options: + shiny (default) dull - lighting, str - define the lighting of the render window - OPTIONS: - simple - full - shadows, str + + lighting : str + This defines the lighting of the render window + Options: + simple + full (default) + + shadows : str Define if we want to include shadows in our render - OPTIONS + Options: True - False + False (default) NOTE: cannot be boolean - scalemin, float + + scalemin : float Defines the minimum electrostatic potential for colorization NOTE: If both scalemin and scalemax are set to 'compute', ChimeraX can determine the best minima and maxima to use - scalemax, flaot + + scalemax : float Defines the maximum electrostatic potential for colorization NOTE: If both scalemin and scalemax are set to 'compute,' ChimeraX can determine the best minima and maxima to use - representation, str - defines how the isosurfaces should be rendered - OPTIONS: - surface (default and recommended) + + representation : str + This defines how the isosurfaces should be rendered + Options: + surface (default and recommended) mesh - colorscheme, str, or color1:color2:color3:color(n+1)... format for custom schemes - defines the colorization of the color gradient function, AKA palette in ChimeraX terminology - OPTIONS: - Custom - rainbow + colorscheme : str or color1:color2:color3:color(n+1)... format for custom schemes + This defines the colorization of the color gradient function, AKA palette in ChimeraX terminology + Options: + custom, formatted as color1:color2:color3:color(n+1) ... + rainbow (default) red-white-blue grayscale - please see https://www.rbvi.ucsf.edu/chimerax/docs/user/commands/color.html#palette-options for more options + + please see the following for more colorization options : + https://www.rbvi.ucsf.edu/chimerax/docs/user/commands/color.html#palette-options - END PARAMETERS + -------------- + End Parameters """ - from chimerax.core.commands import run - from chimerax.core import errors - from chimerax import io run(session, 'open %s' % (isoFile)) # Open ESP run(session, 'open %s' % (colorFile)) # Open RHO run(session, 'hide #2') # Hides Colorfile from Rendering Window @@ -80,35 +101,28 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is if scalemin != 'compute' and scalemax != 'compute': run(session, 'color gradient #1 map #2 palette %s range %s,%s' %(colorscheme, scalemin, scalemax)) else: - run(session, 'color gradient #1 map #2 palette %s' % (colorscheme))# , scalemin , scalemax)) - run(session, 'material %s' % (material)) # establish surface material - run(session, 'lighting %s' % (lighting)) #establish lighting and shadows - run(session, 'lighting shadows %s' % (shadows)) + run(session, 'color gradient #1 map #2 palette %s' % (colorscheme)) + + run(session, 'material %s' % (material)) # Establish surface material + run(session, 'lighting %s' % (lighting)) #Establish lighting and shadows + run(session, 'lighting shadows %s' % (shadows)) # Set Shadows # SAVE OUTFILE.OUTSUFFIX run(session, 'save %s.%s' % (outFile,outSuffix)) #END FUNCTION +# This Example uses 2,6-Dichloropyridine + # INPUT FILE VALUES HERE isoFile = 'dichloropyridine26_q+0_rho.cube' colorFile = 'dichloropyridine26_q+0_esp.cube' # OUTPUT FILENAME AND SUFFIX HERE outFile = isoFile[:-9] # Removes '_esp.cube' from esp cube file to generate name -outSuffix = 'png' +outSuffix = 'png' -#THESE ARE DEFAULT VALUES +#ISOSURFACE VALUES isoSurf = .005 -material = 'shiny' -colorscheme = 'rainbow' -#colorscheme = '#ca1818:#ca1313:#ca1111:#3138ff:#5405ff:#6500ff:#7500ff' -representation = 'surface' -lighting = 'full' -shadows = 'False' -scalemin = 'compute' -scalemax = 'compute' - -# CALL FUNCTION HERE -print_chimerax_isosurfaces(session,outFile,outSuffix,isoFile,colorFile,isoSurf,material,scalemin,scalemax,colorscheme,representation,lighting,shadows) +print_chimerax_isosurfaces(session,outFile,outSuffix,isoFile,colorFile,isoSurf,material='shiny',scalemin='compute',scalemax='compute',colorscheme='rainbow',representation='surface',lighting='full',shadows='False') From a79ea8d32ff6ea08c9302cb629b468ba89482f27 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Fri, 20 Aug 2021 17:59:47 -0400 Subject: [PATCH 104/126] improved annotations per Alis suggestion --- .../annotate_3D/3DimensionAnnotation.ipynb | 51 ++++++++------ examples/annotate_3D/3DimensionAnnotation.py | 70 +++++++++---------- 2 files changed, 63 insertions(+), 58 deletions(-) diff --git a/examples/annotate_3D/3DimensionAnnotation.ipynb b/examples/annotate_3D/3DimensionAnnotation.ipynb index 67417c60..653baa72 100644 --- a/examples/annotate_3D/3DimensionAnnotation.ipynb +++ b/examples/annotate_3D/3DimensionAnnotation.ipynb @@ -173,27 +173,44 @@ "metadata": {}, "outputs": [], "source": [ + "import iodata\n", + "from iodata import load_one, dump_one \n", + "\n", "def Annotate3D(inFile):\n", " \"\"\"\n", - " This script allows one to take an input file, \n", + " This script allows one to take an input file, generates an intermediate PDB file, then writes data values to the B Factor Column of the intermediate to produce the final output PDB\n", " \n", - " TO VIEW ANNOTATIONS IN CHIMERAX \n", - " DOWNLOAD CHIMERAX \n", + " To View Annotations In ChimeraX \n", + " -------------------------------\n", + " Download Chimerax\n", + " -----------------\n", " Nightly and Stable Releases of ChimeraX can be found below, courtesy of University of California San Francisco\n", " \n", " https://www.cgl.ucsf.edu/chimerax/download.html\n", " \n", - " VISUALIZE ANNOTATIONS\n", + " Visualizing Annotation\n", + " ----------------------\n", " 1. Open ChimeraX\n", - " 2. Either enter into the ChimeraX Command Line open outFile.pdb or use File > Open from the uppermost toolbar \n", - " 3. Once the PDB has been loaded, run from ChimeraX Command Line label #1 atoms attribute bfactor or use Actions > Label > Atoms > Other > Bfactor, from the afforementioned toolbar \n", + " 2. Either enter into the ChimeraX command line `open outFile.pdb` or use File > Open from the uppermost toolbar \n", + " 3. Once the PDB has been loaded, run from ChimeraX command line `label #1 atoms attribute bfactor` or use Actions > Label > Atoms > Other > Bfactor, from the afforementioned toolbar \n", + " \n", + " Yields \n", + " ------\n", + " This function produces a PDB File (outFile), which can then be viewed in ChimeraX\n", " \n", - " END VIEWING INSTRUCTIONS\n", + " Parameters\n", + " ----------\n", " \n", - " PARAMETERS\n", - " inFile, str\n", + " inFile : str\n", " This represents the input file, which should be a Gaussian CheckPoint File, also known as *.fchk\n", " \n", + " workingBFactor, IOData call\n", + " This represents the data we wish to write to PDB B Factor Column and annotate.\n", + " While this example uses the IOData Call atcharges['esp'][:] to input electrostatic potential charges, it can be other values\n", + " IOData calls can be found here:\n", + " \n", + " https://iodata.readthedocs.io/en/latest/index.html\n", + " \n", " interFile, str\n", " This is the intermediate PDB File in which B Factor Values are written into, it is named 'intermediate.pdb'\n", " \n", @@ -204,20 +221,10 @@ " title, str\n", " Title of the molecule\n", " \n", - " workingBFactor, IOData call\n", - " This represents the data we wish to write to PDB B Factor Column and annotate.\n", - " While this example uses the IOData Call atcharges['esp'][:] to input electrostatic potential charges, it can be other values\n", - " IOData calls can be found here:\n", - " \n", - " https://iodata.readthedocs.io/en/latest/index.html\n", - " \n", - " END PARAMETERS \n", + " -------------- \n", + " End Parameters \n", " \"\"\"\n", - " \n", - " # DEPENDENCIES\n", - " import iodata\n", - " from iodata import load_one, dump_one \n", - " # END DEPENDENCIES\n", + "\n", " \n", " inFile = 'dichloropyridine26_q+0.fchk'\n", " interFile = 'intermediate.pdb'\n", diff --git a/examples/annotate_3D/3DimensionAnnotation.py b/examples/annotate_3D/3DimensionAnnotation.py index 81ce51a4..37a67657 100644 --- a/examples/annotate_3D/3DimensionAnnotation.py +++ b/examples/annotate_3D/3DimensionAnnotation.py @@ -1,56 +1,56 @@ +import iodata +from iodata import load_one, dump_one + def Annotate3D(inFile): + """ - This script allows one to take an input file, and output a pdb file with a B Factors column filled with desired data values. - This pdb can then be visualized using ChimeraX + This script allows one to take an input file, generates an intermediate PDB file, then writes data values to the B Factor Column of the intermediate to produce the final output PDB - CONDA ENVIRONMENT - - This function will only work within a Anaconda Environment that contains qc-iodata, which can be found here - - https://iodata.readthedocs.io/en/latest/install.html - - TO VIEW ANNOTATIONS IN CHIMERAX - DOWNLOAD CHIMERAX + To View Annotations In ChimeraX + ------------------------------- + Download Chimerax + ----------------- Nightly and Stable Releases of ChimeraX can be found below, courtesy of University of California San Francisco https://www.cgl.ucsf.edu/chimerax/download.html - VISUALIZE ANNOTATIONS + Visualizing Annotation + ---------------------- 1. Open ChimeraX - 2. Either enter into the ChimeraX Command Line open outFile.pdb or use File > Open from the uppermost toolbar - 3. Once the PDB has been loaded, run from ChimeraX Command Line label #1 atoms attribute bfactor or use Actions > Label > Atoms > Other > Bfactor, from the afforementioned toolbar + 2. Either enter into the ChimeraX command line `open outFile.pdb` or use File > Open from the uppermost toolbar + 3. Once the PDB has been loaded, run from ChimeraX command line `label #1 atoms attribute bfactor` or use Actions > Label > Atoms > Other > Bfactor, from the afforementioned toolbar + + Yields + ------ + This function produces a PDB File (outFile), which can then be viewed in ChimeraX - END VIEWING INSTRUCTIONS + Parameters + ---------- - PARAMETERS - inFile, str + inFile : str This represents the input file, which should be a Gaussian CheckPoint File, also known as *.fchk - interFile, str + workingBFactor : IOData call + This represents the data we wish to write to PDB B Factor Column and annotate. + While this example uses the IOData Call atcharges['esp'][:] to input electrostatic potential charges, it can be other values + IOData calls can be found here: + + https://iodata.readthedocs.io/en/latest/index.html + + interFile : str This is the intermediate PDB File in which B Factor Values are written into, it is named 'intermediate.pdb' - outFile, str + outFile : str This is the final PDB File in which our B Factor Values are written into, originating from interFile This is the file we open in ChimeraX - title, str + title : str Title of the molecule - workingBFactor, IOData call - This represents the data we wish to write to PDB B Factor Column and annotate. - While this example uses the IOData Call atcharges['esp'][:] to input electrostatic potential charges, it can be other values - IOData calls can be found here: - - https://iodata.readthedocs.io/en/latest/index.html - - END PARAMETERS + -------------- + End Parameters """ - # DEPENDENCIES - import iodata - from iodata import load_one, dump_one - # END DEPENDENCIES - inFile = 'dichloropyridine26_q+0.fchk' interFile = 'intermediate.pdb' outFile = f"{inFile[:-5]}.pdb" @@ -77,10 +77,8 @@ def Annotate3D(inFile): dump_one(loadInput,interFile) # END FUNCTION - - - -# EXAMPLE OF Annotate3D(inFile using 2,6-Dichloropyridinedef Annotate3D(inFile): + +# EXAMPLE OF Annotate3D(inFile) using 2,6-Dichloropyridine inFile = 'dichloropyridine26_q+0.fchk' Annotate3D(inFile) From 8e25ead3ee26740432199d56dc7db3baa3a1f49f Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Fri, 20 Aug 2021 19:08:11 -0400 Subject: [PATCH 105/126] Update README.md --- README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index c4bdd2ea..8bbca672 100644 --- a/README.md +++ b/README.md @@ -182,8 +182,8 @@ While debug and deprecated code has been removed, parameters for functions need There is a discrepancy between appropriate values to display isosurface levels between both ChimeraX and VMD. For the example 2,6-dichloropyridine, the previous VMD example recommends setting -`isoSurf` to .003, however, in ChimeraX, this will produce a noticeable -uncolored void that can be corrected when setting `isoSurf` to .005. +`isoSurf` to .003 (left), however, in ChimeraX, this will produce a noticeable +uncolored void that can be corrected when setting `isoSurf` to .005 (right). isoSurf=.003 AisoSurf=.005 From 892bbb442e9997ea1c67aa09c7c7568e4797afbd Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Sat, 21 Aug 2021 16:24:21 -0400 Subject: [PATCH 106/126] Update README.md --- README.md | 14 ++++++-------- 1 file changed, 6 insertions(+), 8 deletions(-) diff --git a/README.md b/README.md index 8bbca672..a2e9582b 100644 --- a/README.md +++ b/README.md @@ -214,19 +214,17 @@ There remains the need to implement a means to visualize bond and ring critical I would like to extend great thanks to the following individuals for assisting and granting me flexibility: -- Farnaz Heidar Zadeh, Professor Queens University +- Farnaz Heidar Zadeh, Professor, Queens University -- Paul Ayers, Professor University of Toronto +- Paul Ayers, Professor, McMaster University -- Esteban Vohringer Martinez, Professor Universidad de Concepciòn +- Esteban Vohringer Martinez, Professor, Universidad de Concepciòn -- Victor Canogil +- Toon Vestraelen, Professor, Ghent University -- Toon Vestraelen +- Gabriella Sánchez-Dìaz, McMaster University -- Gabriella S.D. - -- Ali Tehrani +- Ali Tehrani, McMaster University -   Geoff Hutchinson, Avogadro2 Lead From 5b5e7db8b07e98d375136a1c4b7c959aa152cf2b Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Sun, 22 Aug 2021 22:12:59 -0400 Subject: [PATCH 107/126] added None as colorFile option --- examples/esp/chimerax_vis_esp.py | 19 +++++++++++++------ 1 file changed, 13 insertions(+), 6 deletions(-) diff --git a/examples/esp/chimerax_vis_esp.py b/examples/esp/chimerax_vis_esp.py index 7fca52f3..b6a706d6 100644 --- a/examples/esp/chimerax_vis_esp.py +++ b/examples/esp/chimerax_vis_esp.py @@ -42,6 +42,7 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is colorFile : str Input file to use as a color map should have suffix *_rho.cube + Note: If colorizing is not needed or colorFile is not present, please use colorFile = None isoSurf : float This float instructs ChimeraX to display a certain isosurface level @@ -95,14 +96,20 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is """ run(session, 'open %s' % (isoFile)) # Open ESP - run(session, 'open %s' % (colorFile)) # Open RHO - run(session, 'hide #2') # Hides Colorfile from Rendering Window run(session, 'volume #1 style %s level %s' % (representation , isoSurf)) # Setup Volume - if scalemin != 'compute' and scalemax != 'compute': - run(session, 'color gradient #1 map #2 palette %s range %s,%s' %(colorscheme, scalemin, scalemax)) + + if colorFile == None : + print("No ColorFile") + else: - run(session, 'color gradient #1 map #2 palette %s' % (colorscheme)) - + run(session, 'open %s' % (colorFile)) # Open RHO + run(session, 'hide #2') # Hides Colorfile from Rendering Window + + if scalemin != 'compute' and scalemax != 'compute': + run(session, 'color gradient #1 map #2 palette %s range %s,%s' %(colorscheme, scalemin, scalemax)) + else: + run(session, 'color gradient #1 map #2 palette %s' % (colorscheme)) + run(session, 'material %s' % (material)) # Establish surface material run(session, 'lighting %s' % (lighting)) #Establish lighting and shadows run(session, 'lighting shadows %s' % (shadows)) # Set Shadows From ea23074f4ae5a739bdf54a6bc2c19c2c8cfaea8e Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Sun, 22 Aug 2021 22:21:15 -0400 Subject: [PATCH 108/126] can also render generic isosurfaces --- examples/esp/chimeraxVisualizeIsosurface.py | 135 ++++++++++++++++++++ 1 file changed, 135 insertions(+) create mode 100644 examples/esp/chimeraxVisualizeIsosurface.py diff --git a/examples/esp/chimeraxVisualizeIsosurface.py b/examples/esp/chimeraxVisualizeIsosurface.py new file mode 100644 index 00000000..3d889e12 --- /dev/null +++ b/examples/esp/chimeraxVisualizeIsosurface.py @@ -0,0 +1,135 @@ + +from chimerax.core.commands import run +from chimerax.core import errors +from chimerax import io + +def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, isoSurf, material='shiny', scalemin='compute',scalemax='compute',colorscheme='rainbow',representation='surface', lighting='full', shadows='False'): + """ + This script is designed to visualize the electrostatic potential isosurfaces generated from Chemtools (original file is a Gaussian Checkpoint, then processed to cube files *_esp.cube and *_rho.cube, representing the surface and map files respectively) + + Execution + ---------- + To execute, run: + + chimerax + Download ChimeraX + ----------------- + ChimeraX can be found here, with stable and nightly releases : + + https://www.cgl.ucsf.edu/chimerax/download.html + + Parameters + ---------- + session : as is + ChimeraX uses this to recognize to run this within the same session + + outFile : str + name of output file + + outSuffix " str + Suffix of output file + Options: + xyz + pdb + cxs (ChimeraX save file) ) + png (default) + cube + + isoFile : str + Input file to create the volume isosurfaces, + Should have suffix *_esp.cube + + colorFile : str + Input file to use as a color map + should have suffix *_rho.cube + NOTE: If colorizing is not needed or colorFile is not present, please use colorFile = None + + isoSurf : float + This float instructs ChimeraX to display a certain isosurface level + NOTE: There are disparities between appropriate values for VMD visualization and ChimeraX Visualization + + material : str + This defines the material for the surface volume rendering + Options: + shiny (default) + dull + + lighting : str + This defines the lighting of the render window + Options: + simple + full (default) + + shadows : str + Define if we want to include shadows in our render + Options: + True + False (default) + NOTE: cannot be boolean + + scalemin : float + Defines the minimum electrostatic potential for colorization + NOTE: If both scalemin and scalemax are set to 'compute', ChimeraX can determine the best minima and maxima to use + + scalemax : float + Defines the maximum electrostatic potential for colorization + NOTE: If both scalemin and scalemax are set to 'compute,' ChimeraX can determine the best minima and maxima to use + + representation : str + This defines how the isosurfaces should be rendered + Options: + surface (default and recommended) + mesh + colorscheme : str or color1:color2:color3:color(n+1)... format for custom schemes + This defines the colorization of the color gradient function, AKA palette in ChimeraX terminology + Options: + custom, formatted as color1:color2:color3:color(n+1) ... + rainbow (default) + red-white-blue + grayscale + + please see the following for more colorization options : + https://www.rbvi.ucsf.edu/chimerax/docs/user/commands/color.html#palette-options + + -------------- + End Parameters + """ + + run(session, 'open %s' % (isoFile)) # Open ESP + run(session, 'volume #1 style %s level %s' % (representation , isoSurf)) # Setup Volume + + if colorFile == None : + print("No ColorFile") + + else: + run(session, 'open %s' % (colorFile)) # Open RHO + run(session, 'hide #2') # Hides Colorfile from Rendering Window + + if scalemin != 'compute' and scalemax != 'compute': + run(session, 'color gradient #1 map #2 palette %s range %s,%s' %(colorscheme, scalemin, scalemax)) + else: + run(session, 'color gradient #1 map #2 palette %s' % (colorscheme)) + + run(session, 'material %s' % (material)) # Establish surface material + run(session, 'lighting %s' % (lighting)) #Establish lighting and shadows + run(session, 'lighting shadows %s' % (shadows)) # Set Shadows + + # SAVE OUTFILE.OUTSUFFIX + run(session, 'save %s.%s' % (outFile,outSuffix)) + + #END FUNCTION + +# This Example uses 2,6-Dichloropyridine + +# INPUT FILE VALUES HERE +isoFile = 'dichloropyridine26_q+0_rho.cube' +colorFile = 'dichloropyridine26_q+0_esp.cube' + +# OUTPUT FILENAME AND SUFFIX HERE +outFile = isoFile[:-9] # Removes '_esp.cube' from esp cube file to generate name +outSuffix = 'png' + +#ISOSURFACE VALUES +isoSurf = .005 + +print_chimerax_isosurfaces(session,outFile,outSuffix,isoFile,colorFile,isoSurf,material='shiny',scalemin='compute',scalemax='compute',colorscheme='rainbow',representation='surface',lighting='full',shadows='False') From 129d8c472a2a00f65c227a1fa048bd455bf2426d Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Sun, 22 Aug 2021 22:26:09 -0400 Subject: [PATCH 109/126] revert readme --- README.md | 329 ++++++++++++++++-------------------------------------- 1 file changed, 94 insertions(+), 235 deletions(-) diff --git a/README.md b/README.md index a2e9582b..71aa6512 100644 --- a/README.md +++ b/README.md @@ -1,235 +1,94 @@ -# Google Summer of Code 2021: Exploring Alternative Visualizations for OpenChem QCDevs -Nathan Wood, Year 4 Undergraduate, Microbiology and Cell Science, University of Florida - -This project was prepared under the advisory of Dr. Farnaz Heidar-Zadeh, Dr. Paul Ayers, and Dr. Esteban Vohringer-Martinez - -## Note: Submitted Work -All work pertaining to objectives has been linked within the Results section. - -For ease of access, links can also be found below: - -[Python Function of ChimeraX Isosurface Visualization](https://github.com/nwoodweb/chemtools/blob/master/examples/esp/chimerax_vis_esp.py) - -[Jupyter Notebook of 3D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_3D/3DimensionAnnotation.ipynb) - -[Python Script of 3D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_3D/3DimensionAnnotation.py) - -[Jupyter Notebook of 2D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_2D/2DAnnotate.ipynb) - -[Python Script of 2D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_2D/2DAnnotate.py) - -[Jupyter Notebook of Both Vector and Scalar Qualities](https://github.com/nwoodweb/chemtools/blob/master/examples/plotting/2D_Plotting_Gradient.ipynb) - -[Python Script of Field Plot](https://github.com/nwoodweb/chemtools/blob/master/examples/plotting/plotVectorField.py) - -[Python Script of Contour Plot](https://github.com/nwoodweb/chemtools/blob/master/examples/plotting/plotScalarContour.py) - - -## Introduction -OpenChem wishes to implement a means of visualizing Chemtools data. Such -means include exploring viable alternatives to Visualizing Molecular -Dynamics as a visualization platfrom. Further visualization goals -include the plotting of gradient vector fields and annotation of -molecules. Additionally, ChimeraX, developed by the University of -California, San Francisco, was chosen as a general purpose alternative -for VMD, with regards to visualizing isosurfaces as well as molecular -annotations. - - -## Goals - -### Visualizing Electrostatic Potential Isosurfaces - We wish to examine alternatives to Visualizing Molecular Dynamics (VMD) to visualize isosurfaces of molecules computed by Chemtools. Examples of VMD Alternatives include Avogadro/Avogadro2, ChimeraX, IQMol, JMol/JSMol, and PyMOL. - -### 3D Annotation of Molecules - We wish to devise a means of taking IOData output, such as electrostatic potential charges, and applying these values as text annotations in a molecule rendered in a three dimensional environment. - -### 2D Annotation of Molecules - We wish to implement a means of not only visualizing a given molecule originating from a Gaussian Checkpoint file (fchk), but also annotating a 2-dimensional representation of this molecule using data from IOData. - -### Plotting of Vector and Scalar Qualities of Molecules - We wish to develop a means of visualizing the computation of both scalar and vector qualities of molecules. - -### Molecular Graphs of Bond and Ring Critical Points - We wish to implement a means of visualizing the bond and ring critical points of a given molecule. - -## Results -### Visualizing Electrostatic Potential Isosurfaces - -[Python function can be found here](https://github.com/nwoodweb/chemtools/blob/master/examples/esp/chimerax_vis_esp.py) - -A script, consolidated as function `print_chimerax_isosurfaces`, has -been written, and accomplishes the following actions within the ChimeraX -Environment: - -- Open our surfaces file, generically named `*_rho.cube` - -- Open our map file, which allows us to color the surfaces, - generically named `*_esp.cube` - -- Set to isosurface levels to visualize - -- Set the lighting, shadows, surface material appearance (ie dull or - shiny), and representation (ie sufraces or meshes) - -- Set a color palette, both custom or built into ChimeraX - -- Set the minimum `scalemin` and maximum `scalemax` value range for - colorizng the surfaces, or allow ChimeraX to determine the most - suitable range using the string `'compute'` for both the `scalemin` - and `scalemax` parameters within the script - -### 3D Annotation of Molecules - -[Jupyter Notebook of 3D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_3D/3DimensionAnnotation.ipynb) - -[Python Script of 3D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_3D/3DimensionAnnotation.py) - -IOData can output to Protein Data Bank (PDB) files, a text file that -enumerates monomer and a atomic data, such as element, XYZ cartesian -coordinates, and B Factor, which has historically been used to quantify -flexibility and freedom of motion in computational protein-ligand -docking. Originally, ChimeraX's Attribute Files, which allow a tab -separated table enumerating characteristics per unit, was conceived as a -means of annotating molecules as it was not considered to be a \"hack\" -and could allow multiple different annotations could be performed -without overwriting our PDB. However, this was abandoned due to the -complexity of assigning IOData values to an format ChimeraX finds -accessible.\ - -IOData possesses a feature known as `extra`, which allows writing in B -Factors when an intermediate PDB file is opened using IOData function -`load_one`, which can then be written to a finalized PDB file to be -loaded into ChimeraX. Once loaded, ChimeraX can visualize the B Factor -using its labeling utilities. - -
-3D Annotation with ESP Charges of 2,6-dichloropyridine -
- -### 2D Annotation of Molecules - -[Jupyter Notebook of 2D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_2D/2DAnnotate.ipynb) - -[Python Script of 2D Annotation](https://github.com/nwoodweb/chemtools/blob/master/examples/annotate_2D/2DAnnotate.py) - -IOData is used to dump an XYZ and PDB files from the original Gaussian -Checkpoint (fchk) file. XYZ files are capable of being converted to -accurate SMILES strings via the Chemml utilities, however, the order of -the atoms being enumerated differs from that of IOData, making it -non-trivial to assign charges resulting from IOData's `atcharges` call. -On the other hand, PDB Files maintain the atomic order as IOData, -however, RDKit cannot visualize any pi bonds from the PDB. This is due -to the fact that PDB Files store pi bond data based on the distance -between atoms in cartesian space, whereas RDKit prefers bonds to be -explicitly detailed. - -To address both issues, we can first correct the geometry of the PDB by -using RDKit's `Compute2DCoords` and then force the PDB to assume the -visualization stile of the afforementioned SMILES string using -`AssignBondOrdersFromTemplate`. Afterwards, the charges from IOData can -be assigned iteratively. - - -
-2D Annotation with ESP Charges of 2,6-dichloropyridine -
- -### Plotting of Vector and Scalar Qualities of Molecules - -[Jupyter Notebook of Both Vector and Scalar Qualities](https://github.com/nwoodweb/chemtools/blob/master/examples/plotting/2D_Plotting_Gradient.ipynb) - -[Python Script of Field Plot](https://github.com/nwoodweb/chemtools/blob/master/examples/plotting/plotVectorField.py) - -[Python Script of Contour Plot](https://github.com/nwoodweb/chemtools/blob/master/examples/plotting/plotScalarContour.py) - -A Jupyter Notebook and function `plotVectorFieldOverPlane` were made -that is capable of plotting gradient vector fields. This was performed -by: - -- Using 3D rotate and scale operation against an affine plane, and then normalize to plot vector qualities against. - -- Assigning our `vectorFunc` as as the vector quality we want to - explore, in this case `mol.compute_gradient()` - -- Projecting our vector quality against the rotated affine plane - -- Visualizing the vector quality as a gradient vector field \"Quiver - Plot\" - -Gradient Vector Field of 2,6-Dichloropyridine - -To plot a scalar quality, in this case electron density, we want to - -- Rotate an affine plane and normalize to plot scalar quality against - -- Assign our `scalarFunc` which is a scalar quality of a molecule, in - this case, electrostatic density - -- Visualizing the scalar quality as a contour plot, with our - `scalarFunc` representing the level curves - -Contour Plot for Electron Densityof 2,6-Dichloropyridine - - - -## Post Mortem - -### Administrative -While debug and deprecated code has been removed, parameters for functions need to be explicitly detailed - -### Discrepancies between VMD and ChimeraX -There is a discrepancy between appropriate values to display isosurface -levels between both ChimeraX and VMD. For the example -2,6-dichloropyridine, the previous VMD example recommends setting -`isoSurf` to .003 (left), however, in ChimeraX, this will produce a noticeable -uncolored void that can be corrected when setting `isoSurf` to .005 (right). - - -isoSurf=.003 AisoSurf=.005 - -### Molecular Graphs -The original goal of visualizing molecular graphs detailing the critical points of bonds and ring structures was not fulfilled - - -## Moving Forward -### Administrative -1. Code that has been consolidated into functions should have a more detailed explanation of use and parameters -2. Future GSOC internships should make further use of correspondence -methods such as Email, Github threads, Slack, and Zoom. - -### Converting IOData Output into Chemical JSON -In order to improve interoperability with Avogadro2, it will be -necessary to be able to output IOData and Chemtools data into a -\"Chemical JSON\" a form of JSON file that outlines chemical information -such as bonds, atoms, as well as charge and molecular/atomic orbital -data. While the formatting of basic data such as bonds and atoms is -nontrivial, considerable work will have to be done to correctly format -quantum chemistry data. - -### Molecular Graphs -There remains the need to implement a means to visualize bond and ring critical points. - -## Special Thanks -I would like to extend great thanks to the following individuals for -assisting and granting me flexibility: - -- Farnaz Heidar Zadeh, Professor, Queens University - -- Paul Ayers, Professor, McMaster University - -- Esteban Vohringer Martinez, Professor, Universidad de Concepciòn - -- Toon Vestraelen, Professor, Ghent University - -- Gabriella Sánchez-Dìaz, McMaster University - -- Ali Tehrani, McMaster University - --   Geoff Hutchinson, Avogadro2 Lead - -- Elaine Meng, PhD, ChimeraX Development Team, University of - California San Francisco - -- Anthony Schaefer, PhD, ChimeraX Development Team, University of - California San Francisco +ChemTools +========= + +[![Python](https://img.shields.io/badge/python-2.7-blue.svg)](https://docs.python.org/2.7/) +[![codecov](https://codecov.io/gh/QuantumElephant/chemtools/branch/master/graph/badge.svg?token=s2f4Ilawut)](https://codecov.io/gh/QuantumElephant/chemtools) +[![Build Status](https://travis-ci.com/QuantumElephant/chemtools.svg?token=wtCKs521Yw1urAV4F5DM&branch=master)](https://travis-ci.com/QuantumElephant/chemtools) +[![License: GPL v3](https://img.shields.io/badge/License-GPL%20v3-blue.svg)](https://github.com/QuantumElephant/chemtools/blob/master/LICENSE) + + +About +----- + +
ChemTools is a free and open source Python library for interpreting the results of quantum +chemistry calculations. The goal of ChemTools is to provide a toolbox by which the +quantitative output of electronic structure theory calculations can be expressed in chemical +language. ChemTools provides easy-to-use core functionality to compute fundamental descriptors +of conceptual quantum chemistry, together with a flexible set of utilities allowing scientists +to easily test their own discoveries. + +Website: https://chemtools.org + + +License +------- + +ChemTools is distributed under GPL License version 3 (GPLv3) + +Dependencies +------------ + +The following dependencies will be necessary for ChemTools to build properly, + +* Python >= 2.7, < 3.0: http://www.python.org/ (Also install development files.) +* PIP >= 7.0: https://pip.pypa.io/ (Not required in some scenarios but never bad to have.) +* SciPy >= 0.11.0: http://www.scipy.org/ +* NumPy >= 1.16.0: http://www.numpy.org/ +* SymPy >= 0.7.1: http://code.google.com/p/sympy/ +* Matplotlib >= 1.0: http://matplotlib.org/ +* Nosetests >= 1.1.2: http://readthedocs.org/docs/nose/en/latest/ +* HORTON >= 2.0.1: http://theochem.github.io/horton/2.0.1/index.html +* LFS >= 2.0.1: https://git-lfs.github.com/ + +Installation +------------ + +To install HORTON and Git-LFS with conda: +```bash +conda install -c theochem horton=2.1.0 +conda install -c conda-forge git-lfs +``` + +To install chemtools: +```bash +pip install -e . +``` + +Check our website for more detailed +installation guide + +Testing +------- + +To run tests: + +```bash +nosetests -v chemtools +``` + +Development +----------- +New contributors of all programming levels are welcome to join us. You can follow +our developer guidelines for detailed information about contributing code, building +documentation and quality assurance. + +Reference +--------- +In anticipation of the first announcement of ChemTools in a scientific journal, please reference ChemTools as follows: +* F. Heidar-Zadeh, M. Richer, S. Fias, R.A. Miranda-Quintana, M. Chan, +M. Franco-Perez, C. E. Gonzalez-Espinoza, T.D. Kim, C. Lanssens, +A.H.G. Patel, X.D. Yang, E. Vohringer-Martinez, C. Cardenas, T. Verstraelen, +and P. W. Ayers. An explicit approach to conceptual density functional theory +descriptors of arbitrary order. Chem. Phys. Lett., 660:307–312, 2016. +doi:10.1016/j.cplett.2016.07.039. + +Acknowledgements +---------------- +This software was developed using funding from a variety of international +sources including, but not limited to: Canarie, the Canada Research Chairs, +Compute Canada, the European Union's Horizon 2020 Marie Sklodowska-Curie Actions +(Individual Fellowship No 800130), the Foundation of Scientific +Research--Flanders (FWO), McMaster University, the National Fund for Scientific +and Technological Development of Chile (FONDECYT), the Natural Sciences and +Engineering Research Council of Canada (NSERC), the Research Board of Ghent +University (BOF), and Sharcnet. From f2eb05f98616d723653975e478ce199afb77d820 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Sun, 22 Aug 2021 22:31:39 -0400 Subject: [PATCH 110/126] removed incorrect comment --- examples/esp/chimeraxVisualizeIsosurface.py | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/examples/esp/chimeraxVisualizeIsosurface.py b/examples/esp/chimeraxVisualizeIsosurface.py index 3d889e12..078abfae 100644 --- a/examples/esp/chimeraxVisualizeIsosurface.py +++ b/examples/esp/chimeraxVisualizeIsosurface.py @@ -97,10 +97,12 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is run(session, 'open %s' % (isoFile)) # Open ESP run(session, 'volume #1 style %s level %s' % (representation , isoSurf)) # Setup Volume - + + # colorFile specified as None, will render without colorization if colorFile == None : print("No ColorFile") + # ColorFile Present else: run(session, 'open %s' % (colorFile)) # Open RHO run(session, 'hide #2') # Hides Colorfile from Rendering Window @@ -110,6 +112,7 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is else: run(session, 'color gradient #1 map #2 palette %s' % (colorscheme)) + # Rendering Options run(session, 'material %s' % (material)) # Establish surface material run(session, 'lighting %s' % (lighting)) #Establish lighting and shadows run(session, 'lighting shadows %s' % (shadows)) # Set Shadows @@ -120,7 +123,6 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is #END FUNCTION # This Example uses 2,6-Dichloropyridine - # INPUT FILE VALUES HERE isoFile = 'dichloropyridine26_q+0_rho.cube' colorFile = 'dichloropyridine26_q+0_esp.cube' From e3cea37ce514dd46aea11bc9f06b783d5c877619 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Wed, 25 Aug 2021 23:19:02 -0400 Subject: [PATCH 111/126] Update ex002_esp_plot.py --- examples/esp/ex002_esp_plot.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/esp/ex002_esp_plot.py b/examples/esp/ex002_esp_plot.py index 7fc9dfb6..2db61a48 100644 --- a/examples/esp/ex002_esp_plot.py +++ b/examples/esp/ex002_esp_plot.py @@ -1,4 +1,4 @@ -r""" +""" ========================================= EX2: ESP from Molecule & user-defied cube ========================================= From cc66a52af306e965ef63f606f86469a327232233 Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Wed, 25 Aug 2021 23:19:25 -0400 Subject: [PATCH 112/126] Update ex001_esp_plot.py --- examples/esp/ex001_esp_plot.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/esp/ex001_esp_plot.py b/examples/esp/ex001_esp_plot.py index 51e22b0e..84c9d6a2 100644 --- a/examples/esp/ex001_esp_plot.py +++ b/examples/esp/ex001_esp_plot.py @@ -1,4 +1,4 @@ -r""" +""" =================================================== EX1: ESP from wave-function file & user-defied cube =================================================== From a270581653d56aa1f735229c1ea3a7b1663dda3f Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Wed, 25 Aug 2021 23:20:25 -0400 Subject: [PATCH 113/126] Delete README.md.bkup --- README.md.bkup | 94 -------------------------------------------------- 1 file changed, 94 deletions(-) delete mode 100644 README.md.bkup diff --git a/README.md.bkup b/README.md.bkup deleted file mode 100644 index 71aa6512..00000000 --- a/README.md.bkup +++ /dev/null @@ -1,94 +0,0 @@ -ChemTools -========= - -[![Python](https://img.shields.io/badge/python-2.7-blue.svg)](https://docs.python.org/2.7/) -[![codecov](https://codecov.io/gh/QuantumElephant/chemtools/branch/master/graph/badge.svg?token=s2f4Ilawut)](https://codecov.io/gh/QuantumElephant/chemtools) -[![Build Status](https://travis-ci.com/QuantumElephant/chemtools.svg?token=wtCKs521Yw1urAV4F5DM&branch=master)](https://travis-ci.com/QuantumElephant/chemtools) -[![License: GPL v3](https://img.shields.io/badge/License-GPL%20v3-blue.svg)](https://github.com/QuantumElephant/chemtools/blob/master/LICENSE) - - -About ------ - - ChemTools is a free and open source Python library for interpreting the results of quantum -chemistry calculations. The goal of ChemTools is to provide a toolbox by which the -quantitative output of electronic structure theory calculations can be expressed in chemical -language. ChemTools provides easy-to-use core functionality to compute fundamental descriptors -of conceptual quantum chemistry, together with a flexible set of utilities allowing scientists -to easily test their own discoveries. - -Website: https://chemtools.org - - -License -------- - -ChemTools is distributed under GPL License version 3 (GPLv3) - -Dependencies ------------- - -The following dependencies will be necessary for ChemTools to build properly, - -* Python >= 2.7, < 3.0: http://www.python.org/ (Also install development files.) -* PIP >= 7.0: https://pip.pypa.io/ (Not required in some scenarios but never bad to have.) -* SciPy >= 0.11.0: http://www.scipy.org/ -* NumPy >= 1.16.0: http://www.numpy.org/ -* SymPy >= 0.7.1: http://code.google.com/p/sympy/ -* Matplotlib >= 1.0: http://matplotlib.org/ -* Nosetests >= 1.1.2: http://readthedocs.org/docs/nose/en/latest/ -* HORTON >= 2.0.1: http://theochem.github.io/horton/2.0.1/index.html -* LFS >= 2.0.1: https://git-lfs.github.com/ - -Installation ------------- - -To install HORTON and Git-LFS with conda: -```bash -conda install -c theochem horton=2.1.0 -conda install -c conda-forge git-lfs -``` - -To install chemtools: -```bash -pip install -e . -``` - -Check our website for more detailed -installation guide - -Testing -------- - -To run tests: - -```bash -nosetests -v chemtools -``` - -Development ------------ -New contributors of all programming levels are welcome to join us. You can follow -our developer guidelines for detailed information about contributing code, building -documentation and quality assurance. - -Reference ---------- -In anticipation of the first announcement of ChemTools in a scientific journal, please reference ChemTools as follows: -* F. Heidar-Zadeh, M. Richer, S. Fias, R.A. Miranda-Quintana, M. Chan, -M. Franco-Perez, C. E. Gonzalez-Espinoza, T.D. Kim, C. Lanssens, -A.H.G. Patel, X.D. Yang, E. Vohringer-Martinez, C. Cardenas, T. Verstraelen, -and P. W. Ayers. An explicit approach to conceptual density functional theory -descriptors of arbitrary order. Chem. Phys. Lett., 660:307–312, 2016. -doi:10.1016/j.cplett.2016.07.039. - -Acknowledgements ----------------- -This software was developed using funding from a variety of international -sources including, but not limited to: Canarie, the Canada Research Chairs, -Compute Canada, the European Union's Horizon 2020 Marie Sklodowska-Curie Actions -(Individual Fellowship No 800130), the Foundation of Scientific -Research--Flanders (FWO), McMaster University, the National Fund for Scientific -and Technological Development of Chile (FONDECYT), the Natural Sciences and -Engineering Research Council of Canada (NSERC), the Research Board of Ghent -University (BOF), and Sharcnet. 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zXUubX>mKb8!9T?s^EL2KTpqKeNa{zzNqPAc>I4YU`*DPOSJ9ecW^!BF6L6Q zctcXqz2x_H-j0E9`4SWugq3z3GC0G+aGc@Azf-?LRk|`?pJK>jyuf%t^Z+nIW(mGN z8kE(QnO@A$T%X&krKf6{Z_Ja-sKDOvc>S8&@dx5-|0cVJ8VX$e9 zLRV_6x+~fClmEb`JJY8#$oy5Ex@v*QBc%a6bxsq*} z>)+UFS+WZb<-RpJ_!?*VM{=cNCTEl~%dC zymDE>chPmFu=a{NKAyuotQ*)4Xegc1dH*ZKA&x2Ipn*?tTjDAQlg!gA=e+)M8koB4 z7}^q#G2P%^pvREjmRQr7!6CReUE-M%Lw(1t>EePD7udXxIyi$n!ThknRK^r$13h3u zN$F#@IA?Iin!$$Q@=fdNY4&q!8CEgvn10*%g`>;o)7!m7*_BQKqsx#XoM9@1jQXPQ zPh-}`v&~-ChR9d#|8eE3q(lhNWR3_tdI$o7*fuOe%9O66+z{X`d7w*63<9PZJ*cml W7<5BJM#+T%2s~Z=T-G@yGywpkAfCPe From a465f268d6aff2030c8338b6ce7798f9da249815 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Wed, 1 Sep 2021 20:04:14 -0400 Subject: [PATCH 122/126] revamped colorfile if-then-else branching; implemented negatives by reopening isoFile twice, and declaring isoSurfNegative from -isoSurf --- examples/esp/chimeraxVisualizeIsosurface.py | 14 +++++++++++--- 1 file changed, 11 insertions(+), 3 deletions(-) diff --git a/examples/esp/chimeraxVisualizeIsosurface.py b/examples/esp/chimeraxVisualizeIsosurface.py index 078abfae..b858d54b 100644 --- a/examples/esp/chimeraxVisualizeIsosurface.py +++ b/examples/esp/chimeraxVisualizeIsosurface.py @@ -3,7 +3,7 @@ from chimerax.core import errors from chimerax import io -def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, isoSurf, material='shiny', scalemin='compute',scalemax='compute',colorscheme='rainbow',representation='surface', lighting='full', shadows='False'): +def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, isoSurf, material='shiny', scalemin='compute',scalemax='compute',colorscheme='rainbow',representation='surface', lighting='full', shadows='False', negative=False): """ This script is designed to visualize the electrostatic potential isosurfaces generated from Chemtools (original file is a Gaussian Checkpoint, then processed to cube files *_esp.cube and *_rho.cube, representing the surface and map files respectively) @@ -94,13 +94,17 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is -------------- End Parameters """ - + run(session, 'open %s' % (isoFile)) # Open ESP run(session, 'volume #1 style %s level %s' % (representation , isoSurf)) # Setup Volume # colorFile specified as None, will render without colorization if colorFile == None : print("No ColorFile") + if negative == True: + isoSurfNegative = f"-{isoSurf}" + run(session, 'open %s' %(isoFile)) # Open a second isoSurface file + run(session, 'volume #2 style %s level %s' %(representation,isoSurfNegative)) # ColorFile Present else: @@ -111,6 +115,10 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is run(session, 'color gradient #1 map #2 palette %s range %s,%s' %(colorscheme, scalemin, scalemax)) else: run(session, 'color gradient #1 map #2 palette %s' % (colorscheme)) + if negative == True: + isoSurfNegative = f"-{isoSurf}" + run(session, 'open %s' %(isoFile)) # Open a second isoSurface file + run(session, 'volume #3 style %s level %s' %(representation,isoSurfNegative)) # Rendering Options run(session, 'material %s' % (material)) # Establish surface material @@ -134,4 +142,4 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is #ISOSURFACE VALUES isoSurf = .005 -print_chimerax_isosurfaces(session,outFile,outSuffix,isoFile,colorFile,isoSurf,material='shiny',scalemin='compute',scalemax='compute',colorscheme='rainbow',representation='surface',lighting='full',shadows='False') +print_chimerax_isosurfaces(session,outFile,outSuffix,isoFile,colorFile,isoSurf,material='shiny',scalemin='compute',scalemax='compute',colorscheme='rainbow',representation='surface',lighting='full',shadows='False', negative=False) From faf7c3b46c403e8bd93d6705ae8b4687e40e0e7d Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Wed, 1 Sep 2021 20:06:14 -0400 Subject: [PATCH 123/126] revamped colorfile if-then-else branching; implemented negatives by reopening isoFile twice, and declaring isoSurfNegative from -isoSurf --- examples/esp/ex002_esp_plot.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/esp/ex002_esp_plot.py b/examples/esp/ex002_esp_plot.py index 7fc9dfb6..e4a49085 100644 --- a/examples/esp/ex002_esp_plot.py +++ b/examples/esp/ex002_esp_plot.py @@ -11,7 +11,7 @@ # 1. Build Molecule -fname = 'dichloropyridine26_q+0' +fname = 'dichloropyridine_q+0' mol = Molecule.from_file(fname + '.fchk') cub = UniformGrid.from_molecule(mol, spacing=1.0, extension=5.0) From 45f68da59e761c76c6fb92087e805261c362461e Mon Sep 17 00:00:00 2001 From: Nathan Wood <60708568+nwoodweb@users.noreply.github.com> Date: Wed, 1 Sep 2021 20:08:08 -0400 Subject: [PATCH 124/126] Update ex002_esp_plot.py --- examples/esp/ex002_esp_plot.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/esp/ex002_esp_plot.py b/examples/esp/ex002_esp_plot.py index 1ce909bb..2db61a48 100644 --- a/examples/esp/ex002_esp_plot.py +++ b/examples/esp/ex002_esp_plot.py @@ -11,7 +11,7 @@ # 1. Build Molecule -fname = 'dichloropyridine_q+0' +fname = 'dichloropyridine26_q+0' mol = Molecule.from_file(fname + '.fchk') cub = UniformGrid.from_molecule(mol, spacing=1.0, extension=5.0) From ce25dba65d2da10e6d4a844943f06444d8330b39 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Tue, 5 Oct 2021 23:26:25 -0400 Subject: [PATCH 125/126] modified with file IO Parameters, can be executed without explicitly executing chimerax elf --- examples/esp/chimeraxVisualizeIsosurface.py | 159 +++++--------------- 1 file changed, 40 insertions(+), 119 deletions(-) diff --git a/examples/esp/chimeraxVisualizeIsosurface.py b/examples/esp/chimeraxVisualizeIsosurface.py index b858d54b..d8ce8a9f 100644 --- a/examples/esp/chimeraxVisualizeIsosurface.py +++ b/examples/esp/chimeraxVisualizeIsosurface.py @@ -1,140 +1,59 @@ - -from chimerax.core.commands import run -from chimerax.core import errors -from chimerax import io - -def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, isoSurf, material='shiny', scalemin='compute',scalemax='compute',colorscheme='rainbow',representation='surface', lighting='full', shadows='False', negative=False): +def chimerax_isosurfaces(outFile,outSuffix, isoFile, colorFile, isoSurf, material='shiny', scalemin='compute',scalemax='compute',colorscheme='rainbow',representation='surface',lighting='full',shadows='False',negative=False): """ - This script is designed to visualize the electrostatic potential isosurfaces generated from Chemtools (original file is a Gaussian Checkpoint, then processed to cube files *_esp.cube and *_rho.cube, representing the surface and map files respectively) - - Execution - ---------- - To execute, run: - - chimerax - Download ChimeraX - ----------------- - ChimeraX can be found here, with stable and nightly releases : - - https://www.cgl.ucsf.edu/chimerax/download.html - - Parameters - ---------- - session : as is - ChimeraX uses this to recognize to run this within the same session - - outFile : str - name of output file - - outSuffix " str - Suffix of output file - Options: - xyz - pdb - cxs (ChimeraX save file) ) - png (default) - cube - - isoFile : str - Input file to create the volume isosurfaces, - Should have suffix *_esp.cube - - colorFile : str - Input file to use as a color map - should have suffix *_rho.cube - NOTE: If colorizing is not needed or colorFile is not present, please use colorFile = None - - isoSurf : float - This float instructs ChimeraX to display a certain isosurface level - NOTE: There are disparities between appropriate values for VMD visualization and ChimeraX Visualization - - material : str - This defines the material for the surface volume rendering - Options: - shiny (default) - dull - - lighting : str - This defines the lighting of the render window - Options: - simple - full (default) - - shadows : str - Define if we want to include shadows in our render - Options: - True - False (default) - NOTE: cannot be boolean - - scalemin : float - Defines the minimum electrostatic potential for colorization - NOTE: If both scalemin and scalemax are set to 'compute', ChimeraX can determine the best minima and maxima to use - - scalemax : float - Defines the maximum electrostatic potential for colorization - NOTE: If both scalemin and scalemax are set to 'compute,' ChimeraX can determine the best minima and maxima to use - - representation : str - This defines how the isosurfaces should be rendered - Options: - surface (default and recommended) - mesh - colorscheme : str or color1:color2:color3:color(n+1)... format for custom schemes - This defines the colorization of the color gradient function, AKA palette in ChimeraX terminology - Options: - custom, formatted as color1:color2:color3:color(n+1) ... - rainbow (default) - red-white-blue - grayscale - - please see the following for more colorization options : - https://www.rbvi.ucsf.edu/chimerax/docs/user/commands/color.html#palette-options - - -------------- - End Parameters """ + print("Writing ChimeraX Visualization Script") + outScript = f"{outFile}_chimeraxScript.py" # output script filename initialize + file = open(f"{outScript}","w") # open outputScript + + file.write("from chimerax.core.commands import run \n") + file.write("from chimerax.core import errors \n") + file.write("from chimerax import io \n") - run(session, 'open %s' % (isoFile)) # Open ESP - run(session, 'volume #1 style %s level %s' % (representation , isoSurf)) # Setup Volume + file.write(f"run(session, 'open {isoFile}') \n") + file.write(f"run(session, 'volume #1 style {representation} level {isoSurf}') \n") + # colorFile specified as None, will render without colorization if colorFile == None : - print("No ColorFile") + print("\n", + "*********************************\n", + "WARNING: NO COLORFILE PROVIDED!!!\n", + "THIS IS NOT NECESSARILY AN ERROR\n", + "*********************************\n") if negative == True: isoSurfNegative = f"-{isoSurf}" - run(session, 'open %s' %(isoFile)) # Open a second isoSurface file - run(session, 'volume #2 style %s level %s' %(representation,isoSurfNegative)) - - # ColorFile Present + file.write(f"run(session, 'open {isoFile}') \n") # Open a second isoSurface file + file.write(f"run(session, 'volume #2 style {representation} level {isoSurfNegative}')\n") else: - run(session, 'open %s' % (colorFile)) # Open RHO - run(session, 'hide #2') # Hides Colorfile from Rendering Window + file.write(f"run(session, 'open {colorFile}')\n") # Open RHO + file.write(f"run(session, 'hide #2')\n") # Hides Colorfile from Rendering Window if scalemin != 'compute' and scalemax != 'compute': - run(session, 'color gradient #1 map #2 palette %s range %s,%s' %(colorscheme, scalemin, scalemax)) + file.write(f"run(session, 'color gradient #1 map #2 palette {colorscheme} range %{scalemin},{scalemax}') \n") else: - run(session, 'color gradient #1 map #2 palette %s' % (colorscheme)) + file.write(f"run(session, 'color gradient #1 map #2 palette {colorscheme}') \n") if negative == True: isoSurfNegative = f"-{isoSurf}" - run(session, 'open %s' %(isoFile)) # Open a second isoSurface file - run(session, 'volume #3 style %s level %s' %(representation,isoSurfNegative)) - + file.write(f"run(session, 'open {isoFile}') \n") # Open a second isoSurface file + file.write(f"run(session, 'volume #3 style {representation} level {isoSurfNegative}') \n") # Rendering Options - run(session, 'material %s' % (material)) # Establish surface material - run(session, 'lighting %s' % (lighting)) #Establish lighting and shadows - run(session, 'lighting shadows %s' % (shadows)) # Set Shadows + file.write(f"run(session, 'material {material}') \n") # Establish surface material + file.write(f"run(session, 'lighting {lighting}') \n") # Establish lighting and shadows + file.write(f"run(session, 'lighting shadows {shadows}') \n") # Set Shadows - # SAVE OUTFILE.OUTSUFFIX - run(session, 'save %s.%s' % (outFile,outSuffix)) + # SAVE OUTFILE.OUTSUFFIX + file.write(f"run(session, 'save {outFile}.{outSuffix}') \n") - #END FUNCTION + print(f"ChimeraX Visualization Script {outScript} Written !") + file.close + print(f"You can now execute {outScript} by running 'chimerax {outScript}'") + print("Exiting...") + # END FUNCTION -# This Example uses 2,6-Dichloropyridine -# INPUT FILE VALUES HERE -isoFile = 'dichloropyridine26_q+0_rho.cube' -colorFile = 'dichloropyridine26_q+0_esp.cube' +# BEGIN EXAMPLE +isoFile= 'dichloropyridine26_q+0_rho.cube' +colorFile = 'dichloropyridine26_q+0_esp.cube' # OUTPUT FILENAME AND SUFFIX HERE outFile = isoFile[:-9] # Removes '_esp.cube' from esp cube file to generate name outSuffix = 'png' @@ -142,4 +61,6 @@ def print_chimerax_isosurfaces(session,outFile,outSuffix, isoFile, colorFile, is #ISOSURFACE VALUES isoSurf = .005 -print_chimerax_isosurfaces(session,outFile,outSuffix,isoFile,colorFile,isoSurf,material='shiny',scalemin='compute',scalemax='compute',colorscheme='rainbow',representation='surface',lighting='full',shadows='False', negative=False) + +chimerax_isosurfaces(outFile,outSuffix, isoFile, colorFile, isoSurf, material='shiny', scalemin='compute',scalemax='compute',colorscheme='rainbow',representation='surface',lighting='full',shadows='False',negative=False) +# EOF From d70d48c46136d01056f7f0bf07f3cf13ed12aac4 Mon Sep 17 00:00:00 2001 From: Nathan Wood Date: Tue, 5 Oct 2021 23:31:25 -0400 Subject: [PATCH 126/126] add comments explaining parameters --- examples/esp/chimeraxVisualizeIsosurface.py | 92 +++++++++++++++++++++ 1 file changed, 92 insertions(+) diff --git a/examples/esp/chimeraxVisualizeIsosurface.py b/examples/esp/chimeraxVisualizeIsosurface.py index d8ce8a9f..1893488a 100644 --- a/examples/esp/chimeraxVisualizeIsosurface.py +++ b/examples/esp/chimeraxVisualizeIsosurface.py @@ -1,5 +1,97 @@ def chimerax_isosurfaces(outFile,outSuffix, isoFile, colorFile, isoSurf, material='shiny', scalemin='compute',scalemax='compute',colorscheme='rainbow',representation='surface',lighting='full',shadows='False',negative=False): """ + This script is designed to visualize the electrostatic potential isosurfaces generated from Chemtools + (original file is a Gaussian Checkpoint, then processed to cube files *_esp.cube and *_rho.cube, + representing the surface and map files respectively) + + Execution + ---------- + To execute, run: + + + Download ChimeraX + ----------------- + ChimeraX can be found here, with stable and nightly releases : + + https://www.cgl.ucsf.edu/chimerax/download.html + + Parameters + ---------- + session : as is + ChimeraX uses this to recognize to run this within the same session + + outFile : str + name of output file + + outSuffix " str + Suffix of output file + Options: + xyz + pdb + cxs (ChimeraX save file) ) + png (default) + cube + + isoFile : str + Input file to create the volume isosurfaces, + Should have suffix *_esp.cube + + colorFile : str + Input file to use as a color map + should have suffix *_rho.cube + NOTE: If colorizing is not needed or colorFile is not present, please use colorFile = None + + isoSurf : float + This float instructs ChimeraX to display a certain isosurface level + NOTE: There are disparities between appropriate values for VMD visualization and ChimeraX Visualization + + material : str + This defines the material for the surface volume rendering + Options: + shiny (default) + dull + + lighting : str + This defines the lighting of the render window + Options: + simple + full (default) + + shadows : str + Define if we want to include shadows in our render + Options: + True + False (default) + NOTE: cannot be boolean + + scalemin : float + Defines the minimum electrostatic potential for colorization + NOTE: If both scalemin and scalemax are set to 'compute', ChimeraX can determine the best minima and maxima to use + + scalemax : float + Defines the maximum electrostatic potential for colorization + NOTE: If both scalemin and scalemax are set to 'compute,' ChimeraX can determine the best minima and maxima to use + + representation : str + This defines how the isosurfaces should be rendered + Options: + surface (default and recommended) + mesh + colorscheme : str or color1:color2:color3:color(n+1)... format for custom schemes + This defines the colorization of the color gradient function, AKA palette in ChimeraX terminology + Options: + custom, formatted as color1:color2:color3:color(n+1) ... + rainbow (default) + red-white-blue + grayscale + + please see the following for more colorization options : + https://www.rbvi.ucsf.edu/chimerax/docs/user/commands/color.html#palette-options + + -------------- + End Parameters + + """ print("Writing ChimeraX Visualization Script") outScript = f"{outFile}_chimeraxScript.py" # output script filename initialize

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