Six degrees of Kevin Bacon

转自:https://blog.csdn.net/a17865569022/article/details/78766867

 

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 2
3 1 2 3
2 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 .] 

思路：最短路问题。

在建图的时候要注意将对角线一列设为0，其余在初始状态下设为INF无穷大

然后将在一个集合的元素之间的距离设为1（这里的图为对称矩阵！！）

之后再用Floyd算法更新间接有关系的坐标Map[i][j]=min(Map[i][j],Map[i][k]+Map[k][j]);

最后输出Min*100/(n-1)（这里注意，一定要先乘100，再去取平均，int的数不能整除的话会舍去小数点后面的数，导致结果扩大100倍后误差较大！！！）

#include<cstdio>
#include<cstring>
#include<algorithm>
#define INF 99999999
using namespace std;
int main()
{
    int n,m,t,a[305];
    int Map[305][305];
    scanf("%d %d",&n,&m);
    for(int i=0;i<=n;i++)
    {
        Map[i][i]=0;
        for(int j=i+1;j<=n;j++)
                Map[i][j]=Map[j][i]=INF;
    }
    for(int i=1;i<=m;i++)
    {
        scanf("%d",&t);
        for(int j=1;j<=t;j++)
            scanf("%d",&a[j]);
        for(int x=1;x<=t;x++)
            for(int y=x+1;y<=t;y++)
                Map[a[x]][a[y]]=Map[a[y]][a[x]]=1;
    }
    for(int k=1;k<=n;k++)//Floyd算法
    {
        for(int i=1;i<=n;i++)
        {
            for(int j=1;j<=n;j++)
            {
                Map[i][j]=min(Map[i][j],
                              Map[i][k]+Map[k][j]);
            }
        }
    }
    /*for(int i=1;i<=n;i++){
        for(int j=1;j<=n;j++)
        printf("%10d",Map[i][j]);
        printf("\n");
    }*/
    int Min=INF,temp;
    for(int i=1;i<=n;i++)
    {
        temp=0;
        for(int j=1;j<=n;j++)
            temp+=Map[i][j];
        if(temp<Min)
            Min=temp;
    }
    printf("%d\n",Min*100/(n-1));//重要点，先乘后除，防止误差过大
    return 0;
}