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Copy path52.java
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50 lines (44 loc) · 1.3 KB
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class Solution {
int count;
public int totalNQueens(int n) {
char[][] board = new char[n][n];
for(int r=0; r<n; r++){
for(int c=0; c<n; c++){
board[r][c] = '.';
}
}
nQueens(board, 0);
return count;
}
private void nQueens(char[][] board, int row){
if (row == board.length){
count++;
return;
}
for (int col=0; col<board.length; col++){
if(isSafe(board, row, col)){
board[row][col] = 'Q';
nQueens(board, row+1);
board[row][col] = '.';
}
}
}
private boolean isSafe(char[][] board, int row, int col){
// vertical up (col same, row--, r--)
for(int r = row-1; r>=0; r--){
if(board[r][col] == 'Q')
return false;
}
// left diagonal(r--, c--, r>=0, c>=0)
for(int r = row-1, c = col-1; r>=0 && c>=0; r--, c--){
if(board[r][c] == 'Q')
return false;
}
// right diagonal(r--, c++, r>=0, c<board.lenght)
for(int r = row-1, c = col+1; r>=0 && c<board.length; r--, c++){
if(board[r][c] == 'Q')
return false;
}
return true;
}
}