Six Degrees of Cowvin Bacon
Time Limit: 1000MS | Memory Limit: 65536K | |
Total Submissions: 5766 | Accepted: 2712 |
Description
The cows have been making movies lately, so they are ready to play a variant of the famous game "Six Degrees of Kevin Bacon". The game works like this: each cow is considered to be zero degrees of separation (degrees) away from herself. If two distinct cows have been in a movie together, each is considered to be one 'degree' away from the other. If a two cows have never worked together but have both worked with a third cow, they are considered to be two 'degrees' away from each other (counted as: one degree to the cow they've worked with and one more to the other cow). This scales to the general case. The N (2 <= N <= 300) cows are interested in figuring out which cow has the smallest average degree of separation from all the other cows. excluding herself of course. The cows have made M (1 <= M <= 10000) movies and it is guaranteed that some relationship path exists between every pair of cows.
Input
* Line 1: Two space-separated integers: N and M * Lines 2..M+1: Each input line contains a set of two or more space-separated integers that describes the cows appearing in a single movie. The first integer is the number of cows participating in the described movie, (e.g., Mi); the subsequent Mi integers tell which cows were.
Output
* Line 1: A single integer that is 100 times the shortest mean degree of separation of any of the cows.
Sample Input
4 23 1 2 32 3 4
Sample Output
100
Hint
[Cow 3 has worked with all the other cows and thus has degrees of separation: 1, 1, and 1 -- a mean of 1.00 .]
Source
/** @Author: Lyucheng* @Date: 2017-07-21 10:09:45* @Last Modified by: Lyucheng* @Last Modified time: 2017-07-21 10:32:45*//* 题意:有n头奶牛,如果奶牛在同一部电影中工作过,那么这些奶牛就是有关系的,关系距离为1 当然也可以通过其他奶牛产生间接的关系,问你那头奶牛的与其他奶牛的平均关系距离最小 思路:建边然后最短路*/#include#include #include #include #include #include #include #include