POJ 1383--Labyrinth【树的直径】

Labyrinth

Time Limit:2000MS     Memory Limit:32768KB     64bit IO Format:%lld & %llu

Submit Status

Description

The northern part of the Pyramid contains a very large and complicated labyrinth. The labyrinth is divided into square blocks, each of them either filled by rock, or free. There is also a little hook on the floor in the center of every free block. The ACM have found that two of the hooks must be connected by a rope that runs through the hooks in every block on the path between the connected ones. When the rope is fastened, a secret door opens. The problem is that we do not know which hooks to connect. That means also that the neccessary length of the rope is unknown. Your task is to determine the maximum length of the rope we could need for a given labyrinth.

Input

The input consists of T test cases. The number of them (T) is given on the first line of the input file. Each test case begins with a line containing two integers C and R (3 <= C,R <= 1000) indicating the number of columns and rows. Then exactly R lines follow, each containing C characters. These characters specify the labyrinth. Each of them is either a hash mark (#) or a period (.). Hash marks represent rocks, periods are free blocks. It is possible to walk between neighbouring blocks only, where neighbouring blocks are blocks sharing a common side. We cannot walk diagonally and we cannot step out of the labyrinth. 
The labyrinth is designed in such a way that there is exactly one path between any two free blocks. Consequently, if we find the proper hooks to connect, it is easy to find the right path connecting them.

Output

Your program must print exactly one line of output for each test case. The line must contain the sentence "Maximum rope length is X." where Xis the length of the longest path between any two free blocks, measured in blocks.

Sample Input

23 3####.####7 6########.#.####.#.####.#.#.##.....########

Sample Output

Maximum rope length is 0.Maximum rope length is 8.

简单粗暴的理解就是，给你一个地图，问地图中最长的距离是多少；

直接按树的直径查找；

#include<stdio.h>#include<string.h>#include<queue>#include<iostream>#include<algorithm>using namespace std;char map[10000][100000];int v[1000][1000];int n,m;struct none{int x,y,step;};int check(int x,int y){if(x>=0&&y>=0&&x<n&&y<m&&map[x][y]=='.'&&v[x][y]==0)return 1;elsereturn 0;}int dir[4][2]={0,1,0,-1,1,0,-1,0};int x1,y1,x2,y2,sum;void bfs(int x,int y){memset(v,0,sizeof(v));queue<none>q;none now,end;now.x=x;now.y=y;now.step=0;q.push(now);v[x][y]=1;while(!q.empty()){now=q.front();q.pop();for(int i=0;i<4;i++){end.x=now.x+dir[i][0];end.y=now.y+dir[i][1];if(check(end.x,end.y)){end.step=now.step+1;v[end.x][end.y]=1;if(sum<end.step){//筛选找出最长的x2=end.x;//记录位置y2=end.y;sum=end.step;}q.push(end);}}}}int main(){int t;scanf("%d",&t);while(t--){ scanf("%d%d", &m, &n);    for(int i = 0; i < n; ++i)        scanf("%s", map[i]);    for(int i = 0; i < n; ++i)    for(int j = 0; j < m; ++j){        if(map[i][j] == '.'){            x1 = i;            y1 = j;            break;        }    }sum=0;bfs(x1,y1);bfs(x2,y2);printf("Maximum rope length is %d.\n", sum);}}