N queens
Wed Nov 06 2024 18:29:29 GMT+0000 (Coordinated Universal Time)
Saved by
@sagar123
import java.util.*;
public class NQueens {
public static void solveNQueens(int n) {
int[] board = new int[n];
Arrays.fill(board, -1);
solve(0, board, n);
}
private static void solve(int col, int[] board, int n) {
if (col == n) {
printBoard(board, n);
return;
}
for (int row = 0; row < n; row++) {
if (isSafe(board, col, row, n)) {
board[col] = row;
solve(col + 1, board, n);
board[col] = -1;
}
}
}
private static boolean isSafe(int[] board, int col, int row, int n) {
for (int i = 0; i < col; i++) {
if (board[i] == row || Math.abs(board[i] - row) == Math.abs(i - col)) {
return false;
}
}
return true;
}
private static void printBoard(int[] board, int n) {
for (int i = 0; i < n; i++) {
StringBuilder sb = new StringBuilder();
for (int j = 0; j < n; j++) {
sb.append(board[i] == j ? 'Q' : '.');
}
System.out.println(sb.toString());
}
System.out.println();
}
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
System.out.print("Enter the value of n (size of the board): ");
int n = scanner.nextInt();
solveNQueens(n);
}
}
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