UVALive - 3027 Corporative Network

本文介绍了一个关于并查集的应用案例,通过解决企业网络集群问题来演示如何使用并查集进行路径压缩,并维护每个点到根节点的距离。
Time Limit: 3000MS Memory Limit: Unknown 64bit IO Format: %lld & %llu

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Description

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A very big corporation is developing its corporative network. In the beginning each of the N enterprises of the corporation, numerated from 1 to N, organized its own computing and telecommunication center. Soon, for amelioration of the services, the corporation started to collect some enterprises in clusters, each of them served by a single computing and telecommunication center as follow. The corporation chose one of the existing centers I (serving the cluster A) and one of the enterprises J in some cluster B (not necessarily the center) and link them with telecommunication line. The length of the line between the enterprises I and J is |I � J|(mod 1000). In such a way the two old clusters are joined in a new cluster, served by the center of the old cluster B. Unfortunately after each join the sum of the lengths of the lines linking an enterprise to its serving center could be changed and the end users would like to know what is the new length. Write a program to keep trace of the changes in the organization of the network that is able in each moment to answer the questions of the users.

Input

Your program has to be ready to solve more than one test case. The first line of the input file will contains only the number T of the test cases. Each test will start with the number N of enterprises (5≤N≤20000). Then some number of lines (no more than 200000) will follow with one of the commands:
E I � asking the length of the path from the enterprise I to its serving center in the moment; 
I I J � informing that the serving center I is linked to the enterprise J.
The test case finishes with a line containing the word O. The I commands are less than N.

Output

The output should contain as many lines as the number of E commands in all test cases with a single number each � the asked sum of length of lines connecting the corresponding enterprise with its serving center.

Sample Input

1
4
E 3
I 3 1
E 3
I 1 2
E 3
I 2 4
E 3
O

Sample Output

0
2
3
5

Source





分析:
并查集的简单题,路径压缩,同时维护每个点到根节点的距离d[i]。
ac代码:
#include <iostream>
#include<cstdio>
#include<algorithm>
using namespace std;
const int maxn=20000+10;
int fa[maxn],d[maxn];


int findset(int x)
{
    if(x!=fa[x])
    {
        //fa[x]=findset(fa[x]);//
        int root=findset(fa[x]);
        //fa[x]=root;
        d[x]+=d[fa[x]];
       fa[x]=root;
    }
    return fa[x];
}


int main()
{
    int t;
    scanf("%d",&t);
    while(t--)
    {
        int n,u,v;
        char cmd[9];
        scanf("%d",&n);
        for(int i=1;i<=n;i++)
        {
            fa[i]=i;
            d[i]=0;
        }
        while(scanf("%s",cmd)!=EOF&&cmd[0]!='O')//大写的O
        {
            if(cmd[0]=='I')
            {
                scanf("%d%d",&u,&v);
                fa[u]=v;
                d[u]=abs(u-v)%1000;
            }
            if(cmd[0]=='E')
            {
                scanf("%d",&u);
                findset(u);
                printf("%d\n",d[u]);
            }
        }
    }
    return 0;
}
(SCI三维路径规划对比)25年最新五种智能算法优化解决无人机路径巡检三维路径规划对比(灰雁算法真菌算法吕佩尔狐阳光生长研究(Matlab代码实现)内容概要:本文档主要介绍了一项关于无人机三维路径巡检规划的研究,通过对比2025年最新的五种智能优化算法(包括灰雁算法、真菌算法、吕佩尔狐算法、阳光生长算法等),在复杂三维环境中优化无人机巡检路径的技术方案。所有算法均通过Matlab代码实现,并重点围绕路径安全性、效率、能耗和避障能力进行性能对比分析,旨在为无人机在实际巡检任务中的路径规划提供科学依据和技术支持。文档还展示了多个相关科研方向的案例与代码资源,涵盖路径规划、智能优化、无人机控制等多个领域。; 适合人群:具备一定Matlab编程基础,从事无人机路径规划、智能优化算法研究或自动化、控制工程方向的研究生、科研人员及工程技术人员。; 使用场景及目标:① 对比分析新型智能算法在三维复杂环境下无人机路径规划的表现差异;② 为科研项目提供可复现的算法代码与实验基准;③ 支持无人机巡检、灾害监测、电力线路巡查等实际应用场景的路径优化需求; 阅读建议:建议结合文档提供的Matlab代码进行仿真实验,重点关注不同算法在收敛速度、路径长度和避障性能方面的表现差异,同时参考文中列举的其他研究案例拓展思路,提升科研创新能力。
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