UVA 11214 Guarding the Chessboard 守卫棋盘（迭代加深+剪枝）

暴力，和八皇后很像，用表示i+j和i-j标记主对角线，但是还是要加一些的剪枝的。

1.最裸的暴搜

6.420s，差点超时

2.之前位置放过的就没必要在放了，每次从上一次放的位置开始放

0.400s

#include<cstdio>
#include<cstring>

const int maxn = ;
char G[maxn][maxn];
int maxd;
int n,m;
bool visi[maxn],visj[maxn],vis1[maxn<<],vis2[maxn<<];

bool dfs(int d,int si,int sj)
{
    if(d == maxd){
        for(int i = ; i < n; i++)
            for(int j = ; j < m; j++){
                if(G[i][j] == 'X'&&!visi[i]&&!visj[j]&&!vis1[i+j]&&!vis2[i-j+])
                    return false;
            }
        return true;
    }
      for(int i = si; i < n; i++){
            for(int j = (i == si?sj:); j < m; j++)
            if(!visi[i] || !visj[j] || !vis1[i+j]|| !vis2[i-j+]){
                bool f1 = visi[i], f2 = visj[j], f3 = vis1[i+j], f4 = vis2[i-j+];
                visi[i] = visj[j] = vis1[i+j] = vis2[i-j+] = true;
                if(dfs(d+,i,j))return true;
                visi[i] = f1; visj[j] = f2; vis1[i+j] = f3; vis2[i-j+] = f4;
            }

    }
    return false;
}

int main()
{
    int cas = ;
    while(scanf("%d%d",&n,&m),n){
        for(int i = ;i < n; i++) scanf("%s",G[i]);
        for(maxd = ; maxd < ; maxd++){
            memset(visi,,sizeof(visi));
            memset(visj,,sizeof(visj));
            memset(vis1,,sizeof(vis1));
            memset(vis2,,sizeof(vis2));
            if(dfs(,,))break;
        }
        printf("Case %d: %d\n",++cas,maxd);
    }
    return ;
}

第一种剪枝

3.可以逐行（或逐列）放置。还有一个剪枝就是最多放5个，所以maxd==4还没有解，直接输出5.

0.201s

#include<cstdio>
#include<cstring>

const int maxn = ;
char G[maxn][maxn];
int maxd;
int n,m;
bool visi[maxn],visj[maxn],vis1[maxn<<],vis2[maxn<<];

bool dfs(int d,int si)
{
    if(d == maxd){
        for(int i = ; i < n; i++)
            for(int j = ; j < m; j++){
                if(G[i][j] == 'X'&&!visi[i]&&!visj[j]&&!vis1[i+j]&&!vis2[i-j+])
                    return false;
            }
        return true;
    }
      for(int i = si; i < n; i++){
            for(int j = ; j < m; j++)
            if(!visi[i] || !visj[j] || !vis1[i+j]|| !vis2[i-j+]){
                bool f1 = visi[i], f2 = visj[j], f3 = vis1[i+j], f4 = vis2[i-j+];
                visi[i] = visj[j] = vis1[i+j] = vis2[i-j+] = true;
                if(dfs(d+,i+))return true;
                visi[i] = f1; visj[j] = f2; vis1[i+j] = f3; vis2[i-j+] = f4;
            }

    }
    return false;
}

int main()
{
    int cas = ;
    while(scanf("%d%d",&n,&m),n){
        for(int i = ;i < n; i++) scanf("%s",G[i]);
        for(maxd = ; maxd < ; maxd++){
            memset(visi,,sizeof(visi));
            memset(visj,,sizeof(visj));
            memset(vis1,,sizeof(vis1));
            memset(vis2,,sizeof(vis2));
            if(dfs(,))break;
        }
        printf("Case %d: %d\n",++cas,maxd);
    }
    return ;
}