poj2377(Bad Cowtractors)最大生成树

Description

Bessie has been hired to build a cheap internet network among Farmer John's N (2 <= N <= 1,000) barns that are conveniently numbered 1..N. FJ has already done some surveying, and found M (1 <= M <= 20,000) possible connection routes between pairs of barns. Each possible connection route has an associated cost C (1 <= C <= 100,000). Farmer John wants to spend the least amount on connecting the network; he doesn't even want to pay Bessie. 

Realizing Farmer John will not pay her, Bessie decides to do the worst job possible. She must decide on a set of connections to install so that (i) the total cost of these connections is as large as possible, (ii) all the barns are connected together (so that it is possible to reach any barn from any other barn via a path of installed connections), and (iii) so that there are no cycles among the connections (which Farmer John would easily be able to detect). Conditions (ii) and (iii) ensure that the final set of connections will look like a "tree".

Input

* Line 1: Two space-separated integers: N and M 

* Lines 2..M+1: Each line contains three space-separated integers A, B, and C that describe a connection route between barns A and B of cost C.

Output

* Line 1: A single integer, containing the price of the most expensive tree connecting all the barns. If it is not possible to connect all the barns, output -1.

Sample Input

5 8
1 2 3
1 3 7
2 3 10
2 4 4
2 5 8
3 4 6
3 5 2
4 5 17

Sample Output

42

Hint

OUTPUT DETAILS: 

The most expensive tree has cost 17 + 8 + 10 + 7 = 42. It uses the following connections: 4 to 5, 2 to 5, 2 to 3, and 1 to 3.


最大生成树,不能更水的题,kruskal算法排序倒过来就行


#include <iostream>
#include <sstream>
#include <fstream>
#include <string>
#include <map>
#include <vector>
#include <list>
#include <set>
#include <stack>
#include <queue>
#include <deque>
#include <algorithm>
#include <functional>
#include <numeric>
#include <iomanip>
#include <limits>
#include <new>
#include <utility>
#include <iterator>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cctype>
#include <cmath>
#include <ctime>
using namespace std;

struct edge
{
    int u, v, w;
    bool operator < (const edge& b) const
    {
        return w > b.w;
    }
};

edge es[100010];
int V, E;
int f[3100];

void init()
{
    for (int i = 0; i < 3100; ++i)
        f[i] = i;
}

int Find(int x)
{
    return x == f[x] ? x : (f[x] = Find(f[x]));
}

void join(int x, int y)
{
    int fx = Find(x), fy = Find(y);
    f[fx] = fy;
}

int kruskal()
{
    sort(es, es+E);
    init();
    int res = 0;
    for (int i = 0; i < E; ++i)
    {
        edge e = es[i];
        if (Find(e.u) != Find(e.v))
        {
            join(e.u, e.v);
            res += e.w;
        }
    }
    int f = Find(0);
    for (int i = 1; i < V; ++i)
        if (Find(i) != f)
            return -1;
    return res;
}

int main()
{
    scanf("%d%d", &V, &E);
    for (int i = 0; i < E; ++i)
    {
        int u, v, w;
        scanf("%d%d%d", &u, &v, &w);
        es[i] = edge{u-1, v-1, w};
    }
    printf("%d\n", kruskal());
    return 0;
}


算法码上来 文章被收录于专栏

公众号「算法码上来」。godweiyang带你学习算法,不管是编程算法,还是深度学习、自然语言处理算法都一网打尽,更有各种计算机新鲜知识和你分享。别急,算法码上来。

全部评论

相关推荐

03-03 23:12
已编辑
北京邮电大学 Java
书海为家:我来给一点点小建议,因为毕竟还在学校不像工作几年的老鸟有丰富的项目经验,面试官在面试在校生的时候更关注咱们同学的做事逻辑和思路,所以最好在简历中描述下自己做过项目的完整过程,比如需求怎么来的,你对需求的解读,你想到的解决办法,遇到困难如何找人求助,最终项目做成了什么程度,你从中收获了哪些技能,你有什么感悟。
你的简历改到第几版了
点赞 评论 收藏
分享
评论
点赞
收藏
分享

创作者周榜

更多
牛客网
牛客网在线编程
牛客网题解
牛客企业服务