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2*n皇后问题
#define _CRT_SECURE_NO_WARNINGS
#include <cstdio>
const int maxn = 10;
int n, ans, mp[maxn][maxn];
int col_black[maxn], diag1_black[2 * maxn], diag2_black[2 * maxn];
int col_white[maxn], diag1_white[2 * maxn], diag2_white[2 * maxn];
void dfs(int k) {
if (n + 1 == k) {
ans++;
return;
}
for (int black = 1; black <= n; black++) {
for (int white = 1; white <= n; white++) {
if (col_black[black] || col_white[white]) continue;
if (black == white || !mp[k][black] || !mp[k][white]) continue;
if (diag1_black[k + black - 1] || diag2_black[k - black + n]) continue;
if (diag1_white[k + white - 1] || diag2_white[k - white + n]) continue;
col_black[black] = diag1_black[k + black - 1] = diag2_black[k - black + n] = 1; mp[k][black] = 0;
col_white[white] = diag1_white[k + white - 1] = diag2_white[k - white + n] = 1; mp[k][white] = 0;
dfs(k + 1);
col_black[black] = diag1_black[k + black - 1] = diag2_black[k - black + n] = 0; mp[k][black] = 1;
col_white[white] = diag1_white[k + white - 1] = diag2_white[k - white + n] = 0; mp[k][white] = 1;
}
}
}
int main() {
scanf("%d", &n);
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++)
scanf("%d", &mp[i][j]);
dfs(1);
printf("%d", ans);
return 0;
}```
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