Fox And Two Dots

B - Fox And Two Dots

Time Limit:2000MS     Memory Limit:262144KB     64bit IO Format:%I64d & %I64u

Submit Status

Description

Fox Ciel is playing a mobile puzzle game called "Two Dots". The basic levels are played on a board of size n × m cells, like this:

Fox And Two Dots

Each cell contains a dot that has some color. We will use different uppercase Latin characters to express different colors.

The key of this game is to find a cycle that contain dots of same color. Consider 4 blue dots on the picture forming a circle as an example. Formally, we call a sequence of dots d1, d2, ..., dk a cycle if and only if it meets the following condition:

  1. These k dots are different: if i ≠ j then di is different from dj.
  2. k is at least 4.
  3. All dots belong to the same color.
  4. For all 1 ≤ i ≤ k - 1: di and di + 1 are adjacent. Also, dk and d1 should also be adjacent. Cells x and y are called adjacent if they share an edge.

Determine if there exists a cycle on the field.

Input

The first line contains two integers n and m (2 ≤ n, m ≤ 50): the number of rows and columns of the board.

Then n lines follow, each line contains a string consisting of m characters, expressing colors of dots in each line. Each character is an uppercase Latin letter.

Output

Output "Yes" if there exists a cycle, and "No" otherwise.

Sample Input

Input
3 4
AAAA
ABCA
AAAA
Output
Yes
Input
3 4
AAAA
ABCA
AADA
Output
No
Input
4 4
YYYR
BYBY
BBBY
BBBY
Output
Yes
Input
7 6
AAAAAB
ABBBAB
ABAAAB
ABABBB
ABAAAB
ABBBAB
AAAAAB
Output
Yes
Input
2 13
ABCDEFGHIJKLM
NOPQRSTUVWXYZ
Output
No

Hint

In first sample test all 'A' form a cycle.

In second sample there is no such cycle.

The third sample is displayed on the picture above ('Y' = Yellow, 'B' = Blue, 'R' = Red).

欧拉回路,用bfs搞了一通,发现好乱,学习大神DFS,听房神说还有很简单的方法,明天继续看一下。

 #include <iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<queue>
using namespace std;
char maze[][];
int vis[][];
int n,m;
int flag = ;
int to[][] = {{,},{-,},{,},{,-}};
bool check(int x,int y){
if(x<||x>=n||y<||y>=m) return false;
//if(vis[x][y]) return false;
return true;
}
void dfs(int x,int y,int prex,int prey){
if(!check(x,y)) return;
vis[x][y] = ;
int postx,posty;
for(int i = ; i<; i++){
postx = x + to[i][];
posty = y + to[i][];
if(check(postx,posty)&&maze[postx][posty] == maze[x][y]&&(postx!=prex||posty!=prey)){
if(vis[postx][posty]){
flag = ;
return;
}
dfs(postx,posty,x,y);
}
}
}
void input(){ scanf("%d%d",&n,&m);
for(int i = ; i<n; i++) scanf("%s",maze[i]);
for(int i = ; i<n; i++){
for(int j = ; j<m; j++){
if(!vis[i][j]){
dfs(i,j,-,-);
}
}
}
if(flag) printf("Yes\n");
else printf("No\n");
}
int main()
{
input();
return ;
}

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