solved(python): baekjoon 10830

Author: himitery

baekjoon/python/10830/__init__.py

@@ -0,0 +1,45 @@
+import sys
+
+read = lambda: sys.stdin.readline().rstrip()
+
+
+class Problem:
+    def __init__(self):
+        self.size, self.exponent = map(int, read().split())
+        self.matrix = [list(map(int, read().split())) for _ in range(self.size)]
+
+    def solve(self) -> None:
+        for row in self.matrix_pow(self.matrix, self.exponent):
+            print(*list(map(lambda x: x % 1_000, row)))
+
+    def matrix_pow(self, matrix: list[list[int]], exponent: int) -> list[list[int]]:
+        if exponent == 1:
+            return self.matrix
+
+        half = self.matrix_pow(matrix, exponent // 2)
+        half = self.mat_mul(half, half)
+
+        if exponent % 2 == 1:
+            half = self.mat_mul(matrix, half)
+
+        return half
+
+    def mat_mul(
+        self,
+        matrix_a: list[list[int]],
+        matrix_b: list[list[int]],
+    ) -> list[list[int]]:
+        matrix = [[0 for _ in range(self.size)] for _ in range(self.size)]
+
+        for idx in range(self.size**2):
+            row, col = idx // self.size, idx % self.size
+            for index in range(self.size):
+                matrix[row][col] += matrix_a[row][index] * matrix_b[index][col]
+
+            matrix[row][col] %= 1_000
+
+        return matrix
+
+
+if __name__ == "__main__":
+    Problem().solve()

baekjoon/python/10830/main.py

@@ -0,0 +1,54 @@
+[
+  {
+    "input": [
+      "2 5",
+      "1 2",
+      "3 4"
+    ],
+    "expected": [
+      "69 558",
+      "337 406"
+    ]
+  },
+  {
+    "input": [
+      "3 3",
+      "1 2 3",
+      "4 5 6",
+      "7 8 9"
+    ],
+    "expected": [
+      "468 576 684",
+      "62 305 548",
+      "656 34 412"
+    ]
+  },
+  {
+    "input": [
+      "5 10",
+      "1 0 0 0 1",
+      "1 0 0 0 1",
+      "1 0 0 0 1",
+      "1 0 0 0 1",
+      "1 0 0 0 1"
+    ],
+    "expected": [
+      "512 0 0 0 512",
+      "512 0 0 0 512",
+      "512 0 0 0 512",
+      "512 0 0 0 512",
+      "512 0 0 0 512"
+    ]
+  },
+  {
+    "input": [
+      "2 1",
+      "1000 1000",
+      "1000 1000"
+    ],
+    "expected": [
+      "0 0",
+      "0 0"
+    ]
+  }
+]

baekjoon/python/10830/sample.json

@@ -0,0 +1,36 @@
+import json
+import os.path
+import unittest
+from io import StringIO
+from unittest.mock import patch
+
+from parameterized import parameterized
+
+from main import Problem
+
+
+def load_sample(filename: str):
+    path = os.path.join(os.path.dirname(os.path.abspath(__file__)), filename)
+
+    with open(path, "r") as file:
+        return [(case["input"], case["expected"]) for case in json.load(file)]
+
+
+class TestCase(unittest.TestCase):
+    @parameterized.expand(load_sample("sample.json"))
+    def test_case(self, case: str, expected: list[str]):
+        # When
+        with (
+            patch("sys.stdin.readline", side_effect=case),
+            patch("sys.stdout", new_callable=StringIO) as output,
+        ):
+            Problem().solve()
+
+            result = output.getvalue().rstrip()
+
+        # Then
+        self.assertEqual("\n".join(expected), result)
+
+
+if __name__ == "__main__":
+    unittest.main()