HDU 1162Eddy's picture(MST问题）

Eddy's picture

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 11841    Accepted Submission(s): 5922

Problem Description

Eddy begins to like painting pictures recently ,he is sure of himself to become a painter.Every day Eddy draws pictures in his small room, and he usually puts out his newest pictures to let his friends appreciate. but the result it can be imagined, the friends are not interested in his picture.Eddy feels very puzzled,in order to change all friends 's view to his technical of painting pictures ,so Eddy creates a problem for the his friends of you.
Problem descriptions as follows: Given you some coordinates pionts on a drawing paper, every point links with the ink with the straight line, causes all points finally to link in the same place. How many distants does your duty discover the shortest length which the ink draws?

Input

The first line contains 0 < n <= 100, the number of point. For each point, a line follows; each following line contains two real numbers indicating the (x,y) coordinates of the point.
Input contains multiple test cases. Process to the end of file.

Output

Your program prints a single real number to two decimal places: the minimum total length of ink lines that can connect all the points.

Sample Input

3
1.0 1.0
2.0 2.0
2.0 4.0

Sample Output

3.41

Author

eddy

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分析：

最小生成树问题（采用克鲁斯卡尔算法)

不过边还需要自己求（两点间的距离公式，点的组合）

code：

#include<bits/stdc++.h>
using namespace std;
#define max_v 105
struct edge
{
    int x,y;
    double w;
};
edge e[max_v*max_v];
int pa[max_v],rk[max_v];
double sum=0.0;
bool cmp(edge a,edge b)
{
    return a.w<b.w;
}
void make_set(int x)
{
    pa[x]=x;
    rk[x]=0;
}
int find_set(int x)
{
    if(x!=pa[x])
        pa[x]=find_set(pa[x]);
    return pa[x];
}
void union_set(int x,int y,double w)
{
    x=find_set(x);
    y=find_set(y);
    if(x==y)
        return ;
    if(rk[x]>rk[y])
        pa[y]=x;
    else
    {
        if(rk[x]==rk[y])
            rk[y]++;
        pa[x]=y;
    }
    sum+=w;
    return ;
}
double f(double x1,double y1,double x2,double y2)
{
    return sqrt((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2));
}
int main()
{
    int n;
    while(~scanf("%d",&n))
    {
        sum=0;
        double a[max_v],b[max_v];
        for(int i=0; i<n; i++)
        {
            make_set(i);
            scanf("%lf %lf",&a[i],&b[i]);
        }
        int k=0;
        for(int i=0; i<n; i++)
        {
            for(int j=i+1; j<n; j++)
            {
                e[k].x=i;
                e[k].y=j;
                e[k++].w=f(a[i],b[i],a[j],b[j]);
            }
        }
        sort(e,e+k,cmp);
        for(int i=0; i<k; i++)
        {
            union_set(e[i].x,e[i].y,e[i].w);
        }
        printf("%0.2lf\n",sum);
    }
    return 0;
}