package homework;
public class EightQueens {
public static void solveNQueens(int n) {
int[] queens = new int[n];
backtrack(queens, 0);
}
private static void backtrack(int[] queens, int row) {
if (row == queens.length) {
printQueens(queens);
return;
}
for (int col = 0; col < queens.length; col++) {
if (isValid(queens, row, col)) {
queens[row] = col;
backtrack(queens, row + 1);
}
}
}
private static boolean isValid(int[] queens, int row, int col) {
for (int i = 0; i < row; i++) {
if (queens[i] == col || queens[i] - i == col - row || queens[i] + i == col + row) {
return false;
}
}
return true;
}
private static void printQueens(int[] queens) {
int n = queens.length;
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
if (queens[i] == j) {
System.out.print("Q ");
} else {
System.out.print(". ");
}
}
System.out.println();
}
System.out.println();
}
public static void main(String[] args) {
int n = 4;
solveNQueens(n);
}
}