POJ1861 Network(Kruskal)(并查集）

Network

Time Limit: 1000MS

		Memory Limit: 30000K
Total Submissions: 16047		Accepted: 6362		Special Judge

Description

Andrew is working as system administrator and is planning to establish a new network in his company. There will be N hubs in the company, they can be connected to each other using cables. Since each worker of the company must have access to the whole network, each hub must be accessible by cables from any other hub (with possibly some intermediate hubs).
Since cables of different types are available and shorter ones are cheaper, it is necessary to make such a plan of hub connection, that the maximum length of a single cable is minimal. There is another problem — not each hub can be connected to any other one because of compatibility problems and building geometry limitations. Of course, Andrew will provide you all necessary information about possible hub connections.
You are to help Andrew to find the way to connect hubs so that all above conditions are satisfied.

Input

The first line of the input contains two integer numbers: N - the number of hubs in the network (2 <= N <= 1000) and M - the number of possible hub connections (1 <= M <= 15000). All hubs are numbered from 1 to N. The following M lines contain information about possible connections - the numbers of two hubs, which can be connected and the cable length required to connect them. Length is a positive integer number that does not exceed 10⁶. There will be no more than one way to connect two hubs. A hub cannot be connected to itself. There will always be at least one way to connect all hubs.

Output

Output first the maximum length of a single cable in your hub connection plan (the value you should minimize). Then output your plan: first output P - the number of cables used, then output P pairs of integer numbers - numbers of hubs connected by the corresponding cable. Separate numbers by spaces and/or line breaks.

Sample Input

4 6
1 2 1
1 3 1
1 4 2
2 3 1
3 4 1
2 4 1

Sample Output

1
4
1 2
1 3
2 3
3 4
【分析】首先，这一题有问题。第一，输入文件包含多个测试用据，他没说；第二，测试用例的结果错了，应该是
1
3
1 2
1 3
3 4
而且应该是多判的，可以用Kruskal;

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <algorithm>
#include <climits>
#include <cstring>
#include <string>
#include <set>
#include <map>
#include <queue>
#include <stack>
#include <vector>
#include <list>
#include<functional>
#define mod 1000000007
#define inf 0x3f3f3f3f
#define pi acos(-1.0)
using namespace std;
typedef long long ll;
const int N=1005;
const int M=15005;
vector<int>q;
struct Edg {
    int v,u;
    int w;
} edg[M];
bool cmp(Edg g,Edg h) {
    return g.w<h.w;
}
int n,m,k,maxn;
int parent[N];
void init() {
    for(int i=0; i<n; i++)parent[i]=i;
}
void Build() {
    int u,v,w;
    for(int i=0; i<m; i++) {
        scanf("%d%d%d",&u,&v,&w);
        edg[i].u=u;
        edg[i].v=v;
        edg[i].w=w;
    }
    sort(edg,edg+m,cmp);
}
int Find(int x) {
    if(parent[x] != x) parent[x] = Find(parent[x]);
    return parent[x];
}//查找并返回节点x所属集合的根节点
void Union(int x,int y) {
    x = Find(x);
    y = Find(y);
    if(x == y) return;
    parent[y] = x;
}//将两个不同集合的元素进行合并
void Kruskal() {
    int sum=0;
    int num=0;
    int u,v;
    for(int i=0; i<m; i++) {
        u=edg[i].u;
        v=edg[i].v;
        if(Find(u)!=Find(v)) {
            sum+=edg[i].w;
            maxn=max(maxn,edg[i].w);
            q.push_back(i);
            num++;
            Union(u,v);
        }
        if(num>=n-1) {
            printf("%d
%d
",maxn,n-1);

            break;
        }
    }
}
int main() {
    while(~scanf("%d%d",&n,&m)) {
        while(!q.empty())q.pop_back();
        maxn=-1;
        init();
        Build();
        Kruskal();
        for(int i=0; i<q.size(); i++) {
            int l=q[i];
            printf("%d %d
",edg[l].u,edg[l].v);
        }
    }
    return 0;
}