## 這是一道簡單的深度優先搜索問題##
附上題目鏈接:https://vjudge.net/problem/UVA-639
這道題跟八皇后問題類似,思路大致爲:把棋盤的每一格視作一個狀態,符合要求就擺放,不符合就進入下一狀態,到達最後一格就開始回溯,直至走完每一個狀態,由於是每一次都走到最後一格,符合深度優先搜索的思路。
附上AC代碼:
#include<cstdio>
#include<iostream>
#include<algorithm>
#include<cmath>
#include<cstring>
using namespace std;
int vis[4][4];//保存狀態,1爲放置,0爲不放
char bor[4][4];//保存棋盤狀態
int n, maxn;
/*判斷該格是否能放置車*/
bool judge(int x, int y){
int flag = 1;
if (bor[x][y] == 'X') return false;
for (int i = x+1; i < n; i++){
if (bor[i][y] == 'X') break;
if (vis[i][y] == 1) flag = 0;
}
for (int i = x-1; i >= 0; i--){
if (bor[i][y] == 'X') break;
if (vis[i][y] == 1) flag = 0;
}
for (int i = y+1; i < n; i++){
if (bor[x][i] == 'X') break;
if (vis[x][i] == 1) flag = 0;
}
for (int i = y-1; i >= 0; i--){
if (bor[x][i] == 'X') break;
if (vis[x][i] == 1) flag = 0;
}
return flag;
}
void dfs(int cur, int cnt){
if (cur == n*n){
maxn = maxn>cnt?maxn:cnt;
return;
}
if (judge(cur/n, cur%n)){
vis[cur/n][cur%n] = 1;
dfs(cur+1, cnt+1);
vis[cur/n][cur%n] = 0;
dfs(cur+1, cnt);
}
else dfs(cur+1, cnt);
}
int main()
{
while(cin>>n&&n){
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
cin>>bor[i][j];
for (int i = 0; i < n*n; i++){
dfs(i, 0);
memset(vis, 0, sizeof(vis));
}
cout<<maxn<<endl;
maxn = 0;
memset(bor, 0, sizeof(bor));
}
return 0;
}