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Nqueen.java
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69 lines (57 loc) · 1.67 KB
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public class Nqueen {
public static void nqueen(char board[][], int row) {
if (row == board.length) {
printBoard(board);
return;
}
for (int j = 0; j < board.length; j++) {
if (isSafe(board, row, j)) {
board[row][j] = 'Q';
nqueen(board, row + 1);
board[row][j] = 'X';
}
}
}
public static boolean isSafe(char board[][], int row, int col) {
// Vertical Up
for (int i = row - 1; i >= 0; i--) {
if (board[i][col] == 'Q') {
return false;
}
}
// Diagonal left Up
for (int i = row - 1, j = col - 1; i >= 0 && j >= 0; i--, j--) {
if (board[i][j] == 'Q') {
return false;
}
}
// Diagonal right up
for (int i = row - 1, j = col + 1; i >= 0 && j < board.length; i--, j++) {
if (board[i][j] == 'Q') {
return false;
}
}
return true;
}
public static void printBoard(char[][] board) {
System.out.println("----------------");
for (char row[] : board) {
for (char element : row) {
System.out.print(element + " ");
}
System.out.println();
}
}
// Time Complexity:O(n!)
public static void main(String args[]) {
int n = 4;
char board[][] = new char[n][n];
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
board[i][j] = 'X';
}
}
// Solve the N-Queens problem
nqueen(board, 0);
}
}