Fox And Two Dots
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Fox Ciel is playing a mobile puzzle game called "Two Dots". The basic levels are played on a board of sizen × m cells, like this:
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 dotsd1, d2, ..., dk acycle if and only if it meets the following condition:
- These k dots are different: if i ≠ j then di is different fromdj.
- k is at least 4.
- All dots belong to the same color.
- For all 1 ≤ i ≤ k - 1: di and di + 1 are adjacent. Also,dk andd1 should also be adjacent. Cellsx and y are called adjacent if they share an edge.
Determine if there exists a cycle on the field.
The first line contains two integers n andm (2 ≤ n, m ≤ 50): the number of rows and columns of the board.
Then n lines follow, each line contains a string consisting ofm characters, expressing colors of dots in each line. Each character is an uppercase Latin letter.
Output "Yes" if there exists a cycle, and "No" otherwise.
3 4AAAAABCAAAAA
Yes
3 4AAAAABCAAADA
No
4 4YYYRBYBYBBBYBBBY
Yes
7 6AAAAABABBBABABAAABABABBBABAAABABBBABAAAAAB
Yes
2 13ABCDEFGHIJKLMNOPQRSTUVWXYZ
No
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).
思路:判断是否成环是其难点。注意不能往回走。
判断条件:1、颜色全部相同。
2、被标记过。
#include<stdio.h>#include<string.h>char str[1005][1005];int vis[1005][1005];int xn[4]={0,-1,1,0}; //简化寻找点的过程。int yn[4]={1,0,0,-1};int n,m,flag;int judge(int x,int y){ if(x>=0 && x<n && y>=0 && y<m) return 1; return 0;}void dfs(int x,int y,int qx,int qy) //qx qy为上一次走过的点的坐标。{ int tempx,tempy,i; vis[x][y]=1; //标记走过的点 for(i=0;i<4;i++) { tempx=x+xn[i]; //寻找下一个点的坐标 tempy=y+yn[i]; if(judge(tempx,tempy) && (tempx!=qx || tempy!=qy) && str[tempx][tempy]==str[x][y])//1、不越界。 { //2、不是前一个点。 if(vis[tempx][tempy]) //3、颜色相同。 { flag=1; return; } dfs(tempx,tempy,x,y); } } return;}int main(){ int i,j; while(scanf("%d%d",&n,&m)!=EOF) { flag=0; memset(vis,0,sizeof(vis)); for(i=0;i<n;i++) scanf("%s",str[i]); for(i=0;i<n;i++) { for(j=0;j<m;j++) { if(!vis[i][j]) { dfs(i,j,-1,-1); if(flag) break; } } if(flag) break; } if(flag) printf("Yes\n"); else printf("No\n"); } return 0;}
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