Labyrinth
Time Limit: 2000MS | Memory Limit: 32768K | |
Total Submissions: 4279 | Accepted: 1610 |
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.
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
2 3 3 ### #.# ### 7 6 ####### #.#.### #.#.### #.#.#.# #.....# #######
Sample Output
Maximum rope length is 0. Maximum rope length is 8.这个是最长路的变形,用到了最长路的思想,但是实现的时候是bfs,dfs好像也行
这道题神奇的是用%s输入就ac,用%c输入就超时--
真神奇
#include<cstdio>
#include<cstring>
#include<queue>
#include<algorithm>
#define maxn 1010
using namespace std;
int ans, num, nn, mm, R, C;
int vis[maxn][maxn];
char map[maxn][maxn];
int mov[4][2] = {1, 0, -1, 0, 0, 1, 0, -1};
struct node{
int r, c, step;
};
bool judge(node v){
if(v.r < 0 || v.c < 0 || v.r >= R || v.c >= C){
return false;
}
if(map[v.r][v.c] == '#' || vis[v.r][v.c]){
return false;
}
return true;
}
void bfs(int x, int y){
memset(vis, false, sizeof(vis));
struct node n, t;
queue<node > Q;
n.r = x;
n.c = y;
n.step = ans = 0;
vis[x][y] = true;
Q.push(n);
while(!Q.empty()){
n = Q.front();
Q.pop();
for(int i = 0; i < 4; i++){
t.r = n.r + mov[i][0];
t.c = n.c + mov[i][1];
if(judge(t)){
t.step = n.step+1;
vis[t.r][t.c] = true;
Q.push(t);
if(ans < t.step){
ans = t.step;
mm = t.r;
nn = t.c;
}
}
}
}
}
int main(){
int T;
scanf("%d", &T);
while(T--){
scanf("%d%d", &C, &R);
for(int i = 0; i < R; i++){
scanf(" %s", map[i]);
}
for(int i = 0; i < R; i++){
for(int j = 0; j < C; j++){
if(map[i][j] == '.'){
mm = i;
nn = j;
break;
}
}
}
bfs(mm, nn);
bfs(mm, nn);
printf("Maximum rope length is %d.\n", ans);
}
return 0;
}