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强连通(hdu4635)最多增加几条单向边后满足最终的图形不是强连通

时间:2015-05-07 14:22:22      阅读:103      评论:0      收藏:0      [点我收藏+]

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Strongly connected

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1802    Accepted Submission(s): 746


Problem Description
Give a simple directed graph with N nodes and M edges. Please tell me the maximum number of the edges you can add that the graph is still a simple directed graph. Also, after you add these edges, this graph must NOT be strongly connected.
A simple directed graph is a directed graph having no multiple edges or graph loops.
A strongly connected digraph is a directed graph in which it is possible to reach any node starting from any other node by traversing edges in the direction(s) in which they point. 
 

 

Input
The first line of date is an integer T, which is the number of the text cases.
Then T cases follow, each case starts of two numbers N and M, 1<=N<=100000, 1<=M<=100000, representing the number of nodes and the number of edges, then M lines follow. Each line contains two integers x and y, means that there is a edge from x to y.
 

 

Output
For each case, you should output the maximum number of the edges you can add.
If the original graph is strongly connected, just output -1.
 

 

Sample Input
3 3 3 1 2 2 3 3 1 3 3 1 2 2 3 1 3 6 6 1 2 2 3 3 1 4 5 5 6 6 4
 

 

Sample Output
Case 1: -1 Case 2: 1 Case 3: 15

强连通(hdu4635)最多增加几条单向边后满足最终的图形不是强连通

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原文地址:http://www.cnblogs.com/mypsq/p/4484479.html

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