zoukankan      html  css  js  c++  java
  • Two Paths--cf14D(树的直径)

    题目链接:http://codeforces.com/problemset/problem/14/D
    D. Two Paths
    time limit per test
    2 seconds
    memory limit per test
    64 megabytes
    input
    standard input
    output
    standard output

    As you know, Bob's brother lives in Flatland. In Flatland there are n cities, connected by n - 1 two-way roads. The cities are numbered from 1 to n. You can get from one city to another moving along the roads.

    The «Two Paths» company, where Bob's brother works, has won a tender to repair two paths in Flatland. A path is a sequence of different cities, connected sequentially by roads. The company is allowed to choose by itself the paths to repair. The only condition they have to meet is that the two paths shouldn't cross (i.e. shouldn't have common cities).

    It is known that the profit, the «Two Paths» company will get, equals the product of the lengths of the two paths. Let's consider the length of each road equals 1, and the length of a path equals the amount of roads in it. Find the maximum possible profit for the company.

    Input

    The first line contains an integer n (2 ≤ n ≤ 200), where n is the amount of cities in the country. The following n - 1 lines contain the information about the roads. Each line contains a pair of numbers of the cities, connected by the road ai, bi (1 ≤ ai, bi ≤ n).

    Output

    Output the maximum possible profit.

    Examples
    input
    4 
    1 2
    2 3
    3 4
    output
    1
    input
    7 
    1 2
    1 3
    1 4
    1 5
    1 6
    1 7
    output
    0
    input
    6 
    1 2
    2 3
    2 4
    5 4
    6 4
    output
    4

    直接暴力
    #include <iostream>
    #include <stdio.h>
    #include <string.h>
    #include <algorithm>
    #include <math.h>
    #include <stdlib.h>
    #include <vector>
    #include <queue>
    
    using namespace std;
    #define memset(a,b) memset(a,b,sizeof(a))
    #define N 250
    int G[N][N],vis[N],dis[N];
    int Index,Max,n;
    
    void bfs(int u)
    {
        Max=0;
        memset(vis,0);
        memset(dis,0);
        queue<int>Q;
        Q.push(u);
        vis[u]=1;
        while(!Q.empty())
        {
            int p;
            p=Q.front();
            Q.pop();
            for(int i=1; i<=n; i++)
            {
                if(G[p][i]!=0)
                {
                    if(!vis[i])
                    {
                        vis[i]=1;
                        Q.push(i);
                        dis[i]=dis[p]+1;
                        if(Max<dis[i])
                        {
                            Max=dis[i];
                            Index=i;
                        }
                    }
                }
            }
        }
    }
    
    int main()
    {
        int a[N],b[N];
        while(scanf("%d",&n)!=EOF)
        {
            memset(G,0);
            memset(a,0);
            memset(b,0);
            for(int i=1; i<n; i++)
            {
                scanf("%d %d",&a[i],&b[i]);
                G[a[i]][b[i]]=G[b[i]][a[i]]=1;
            }
            int MM=0;
            for(int i=1; i<n; i++)
            {
                int x,y;
                G[a[i]][b[i]]=G[b[i]][a[i]]=0;
                Index=0;
                bfs(a[i]);
                bfs(Index);
                x=Max;
    
                Index=0;
                bfs(b[i]);
                bfs(Index);
                y=Max;
                MM=max(MM,x*y);
                G[a[i]][b[i]]=G[b[i]][a[i]]=1;
            }
            printf("%d
    ",MM);
        }
        return 0;
    }
  • 相关阅读:
    centos7.4 系统安装指导
    win10下硬盘安装CentOS7
    CentOs7.X下配置FTP
    pyspider 安装使用过程的一些坑
    .Net Core 商城微服务项目系列(十三):搭建Log4net+ELK+Kafka日志框架
    .Net Core自动化部署系列(二):使用Jenkins打造镜像发布流水线
    Kubernetes 系列(六):Kubernetes部署Prometheus监控
    Kubernetes 系列(五):Prometheus监控框架简介
    .Net Core 商城微服务项目系列(十二):使用k8s部署商城服务
    Kubernetes 系列(四):使用Traefik访问.net core api
  • 原文地址:https://www.cnblogs.com/linliu/p/5279594.html
Copyright © 2011-2022 走看看