Triangle LOVE(拓扑排序)
2015-08-14 20:09
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Triangle LOVE
Time Limit : 2000/1000ms (Java/Other) Memory Limit : 65536/65536K (Java/Other)Total Submission(s) : 40 Accepted Submission(s) : 27
[align=left]Problem Description[/align]
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”.
[align=left]Input[/align]
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). A[sub]i,j[/sub] = 1 means i-th people loves j-th people, otherwise A[sub]i,j[/sub] = 0. It is guaranteed that the given relationship is a tournament, that is, A[sub]i,i[/sub]= 0, A[sub]i,j[/sub] ≠ A[sub]j,i[/sub](1<=i, j<=n,i≠j).
[align=left]Output[/align]
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.
[align=left]Sample Input[/align]
2 5 00100 10000 01001 11101 11000 5 01111 00000 01000 01100 01110
[align=left]Sample Output[/align]
Case #1: Yes Case #2: No
[align=left]Author[/align]
BJTU
[align=left]Source[/align]
2012 Multi-University Training Contest 3
#include<stdio.h> #include<string.h> char map[2010][2010]; int dre[2010]; int main() { int t,cot=0; scanf("%d",&t); while(t--) { int n,i,j,p; //memset(map,0,sizeof(map)); scanf("%d",&n); memset(dre,0,sizeof(dre)); getchar(); for(i=0;i<n;i++) { scanf("%s",&map[i]); getchar(); for(j=0;j<n;j++) if(map[i][j]=='1') dre[j]++; } for(i=0;i<n;i++) { p=-1; for(j=0;j<n;j++) { if(dre[j]==0) { dre[j]--; p=j; break; } } if(p==-1) break; for(j=0;j<n;j++) { if(map[p][j]=='1') { dre[j]--; map[p][j]='0'; } } } printf("Case #%d: ",++cot); if(i<n) { printf("Yes\n"); } else printf("No\n"); } }
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