Triangle LOVE 杭电HDU4324 【拓扑排序】
2015-08-18 10:09
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Problem Description
Recently, scientists find that there is love between any of two people. For example, between A and B, if A don’t love B, then B must love A, vice versa. And there is no possibility that two people love each other, what a crazy world!
Now, scientists want to know whether or not there is a “Triangle Love” among N people. “Triangle Love” means that among any three people (A,B and C) , A loves B, B loves C and C loves A.
Your problem is writing a program to read the relationship among N people firstly, and return whether or not there is a “Triangle Love”.
Input
The first line contains a single integer t (1 <= t <= 15), the number of test cases.
For each case, the first line contains one integer N (0 < N <= 2000).
In the next N lines contain the adjacency matrix A of the relationship (without spaces). Ai,j = 1 means i-th people loves j-th people, otherwise Ai,j = 0.
It is guaranteed that the given relationship is a tournament, that is, Ai,i= 0, Ai,j ≠ Aj,i(1<=i, j<=n,i≠j).
Output
For each case, output the case number as shown and then print “Yes”, if there is a “Triangle Love” among these N people, otherwise print “No”.
Take the sample output for more details.
Sample Input
Sample Output
//TLE了N次,发现数组开小了
Recently, scientists find that there is love between any of two people. For example, between A and B, if A don’t love B, then B must love A, vice versa. And there is no possibility that two people love each other, what a crazy world!
Now, scientists want to know whether or not there is a “Triangle Love” among N people. “Triangle Love” means that among any three people (A,B and C) , A loves B, B loves C and C loves A.
Your problem is writing a program to read the relationship among N people firstly, and return whether or not there is a “Triangle Love”.
Input
The first line contains a single integer t (1 <= t <= 15), the number of test cases.
For each case, the first line contains one integer N (0 < N <= 2000).
In the next N lines contain the adjacency matrix A of the relationship (without spaces). Ai,j = 1 means i-th people loves j-th people, otherwise Ai,j = 0.
It is guaranteed that the given relationship is a tournament, that is, Ai,i= 0, Ai,j ≠ Aj,i(1<=i, j<=n,i≠j).
Output
For each case, output the case number as shown and then print “Yes”, if there is a “Triangle Love” among these N people, otherwise print “No”.
Take the sample output for more details.
Sample Input
2 5 00100 10000 01001 11101 11000 5 01111 00000 01000 01100 01110
Sample Output
Case #1: Yes Case #2: No
//TLE了N次,发现数组开小了
#include<stdio.h> #include<string.h> char map[2020][2020]; int indegree[2020]; int n; bool Topo_Sort() { for(int i=1;i<=n;++i) { int temp=-1; for(int j=0;j<n;++j) { if(indegree[j]==0) { temp=j; break; } } if(temp==-1) return 1; indegree[temp]=-1; for(int j=0;j<n;++j) { if(map[temp][j]) { indegree[j]--; } } } return 0; } int main() { int T; int i,j; int num=0; scanf("%d",&T); while(T--) { memset(indegree,0,sizeof(indegree)); scanf("%d",&n); for(i=0;i<n;++i) { scanf("%s",&map[i]); for(j=0;j<n;++j) if(map[i][j]=='1') indegree[j]++; } printf("Case #%d: ",++num); if(Topo_Sort()) printf("Yes\n"); else printf("No\n"); } return 0; }
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