[USACO1.5] 八皇后 Checker Challenge

#include <bits/stdc++.h>
using namespace std;
int n, cnt;
int ans[15]; //ans[x]:第x层放在了第ans[x]列
//当前考虑第step层放在第几列
void dfs(int step)
{
    if (step > n)
    {
        cnt++;
        if (cnt <= 3)
        {
            for (int i = 1; i <= n; i++)
                cout << ans[i] << " ";
            cout << "\n";
        }
        return;
    }
    for (int i = 1; i <= n; i++)
    {
        //判断是否冲突
        bool flag = true;
        for (int j = 1; j <= step - 1; j++)
        {
            //(step,i) (j,ans[j])
            if (step == j || i == ans[j] ||
                step - i == j - ans[j] || step + i == j + ans[j])
            {
                flag = false;
                break;
            }
        }
        if (flag)
        {
            ans[step] = i;
            dfs(step + 1);
        }
    }
}
int main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);
    cin >> n;
    dfs(1);
    cout << cnt << endl;
    return 0;
}