n_queens.cpp

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#include <array>
#include <iostream>
 
namespace backtracking {
namespace n_queens {
template <size_t n>
void printSolution(const std::array<std::array<int, n>, n> &board) {
    std::cout << "\n";
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            std::cout << "" << board[i][j] << " ";
        }
        std::cout << "\n";
    }
}
 
template <size_t n>
bool isSafe(const std::array<std::array<int, n>, n> &board, const int &row,
            const int &col) {
    int i = 0, j = 0;
 
    // Check this row on left side
    for (i = 0; i < col; i++) {
        if (board[row][i]) {
            return false;
        }
    }
 
    // Check upper diagonal on left side
    for (i = row, j = col; i >= 0 && j >= 0; i--, j--) {
        if (board[i][j]) {
            return false;
        }
    }
    // Check lower diagonal on left side
    for (i = row, j = col; j >= 0 && i < n; i++, j--) {
        if (board[i][j]) {
            return false;
        }
    }
    return true;
}
 
template <size_t n>
void solveNQ(std::array<std::array<int, n>, n> board, const int &col) {
    if (col >= n) {
        printSolution<n>(board);
        return;
    }
 
    // Consider this column and try placing
    // this queen in all rows one by one
    for (int i = 0; i < n; i++) {
        // Check if queen can be placed
        // on board[i][col]
        if (isSafe<n>(board, i, col)) {
            // Place this queen in matrix
            board[i][col] = 1;
 
            // Recursive to place rest of the queens
            solveNQ<n>(board, col + 1);
 
            board[i][col] = 0;  // backtrack
        }
    }
}
}  // namespace n_queens
}  // namespace backtracking
 
int main() {
    const int n = 4;
    std::array<std::array<int, n>, n> board = {
        std::array<int, n>({0, 0, 0, 0}), std::array<int, n>({0, 0, 0, 0}),
        std::array<int, n>({0, 0, 0, 0}), std::array<int, n>({0, 0, 0, 0})};
 
    backtracking::n_queens::solveNQ<n>(board, 0);
    return 0;
}