HDU-1829.A Bug's Life(带权并查集）

谁借莪１个温暖的怀抱￠ 2022-03-02 15:51 141阅读 0赞

# [A Bug’s Life][A Bug_s Life] #

## Problem Description ##

### Background ###

Professor Hopper is researching the sexual behavior of a rare species of bugs. He assumes that they feature two different genders and that they only interact with bugs of the opposite gender. In his experiment, individual bugs and their interactions were easy to identify, because numbers were printed on their backs.

### Problem ###

Given a list of bug interactions, decide whether the experiment supports his assumption of two genders with no homosexual bugs or if it contains some bug interactions that falsify it.

### Input ###

The first line of the input contains the number of scenarios. Each scenario starts with one line giving the number of bugs (at least one, and up to 2000) and the number of interactions (up to 1000000) separated by a single space. In the following lines, each interaction is given in the form of two distinct bug numbers separated by a single space. Bugs are numbered consecutively starting from one.

### Output ###

The output for every scenario is a line containing “Scenario \#i:”, where i is the number of the scenario starting at 1, followed by one line saying either “No suspicious bugs found!” if the experiment is consistent with his assumption about the bugs’ sexual behavior, or “Suspicious bugs found!” if Professor Hopper’s assumption is definitely wrong.

### Sample Input ###

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

### Sample Output ###

Scenario #1:
    Suspicious bugs found!
    
    Scenario #2:
    No suspicious bugs found!

### 带权并查集 ###

#include <iostream>
    #include <cstdio>
    #include <cstdlib>
    #include <string>
    #include <cstring>
    #include <unordered_set>
    #include <set>
    #include <unordered_map>
    #include <vector>
    #include <algorithm>
    #include <set>
    #include <queue>
    #include <cmath>
    using namespace std;
    const int maxn = 1000010;
    int fa[maxn];
    int ranks[maxn]; //0表示同类，1表示异类
    int m,n; //m只虫子，n种行为
    int findroot(int x)
    { 
        if(x!=fa[x])
        { 
            int root=findroot(fa[x]);
            ranks[x]=(ranks[x]+ranks[fa[x]])%2;
            fa[x]=root;
        }
        return fa[x];
    }
    int main()
    { 
        int t,ans=1;
        scanf("%d",&t);
        while(t--)
        { 
            scanf("%d%d",&m,&n);
            bool flag = true;
            memset(ranks,0,sizeof(ranks));
            for(int i=0;i<=m;i++)
                fa[i]=i;
            int u,v;
            for(int i=0;i<n;i++)
            { 
                scanf("%d%d",&u,&v);
                if(flag==false) continue; //如果已经找到可疑，不必再检查后面的
                int du=findroot(u);
                int dv=findroot(v);
                if(du==dv)
                { 
                    if((ranks[u]-ranks[v])%2==0)
                        flag=false;
                }
                else
                { 
                    fa[du]=dv;
                    ranks[du]=(ranks[u]-ranks[v]+1)%2;
                }
            }
            if(!flag)
            { 
                printf("Scenario #%d:\n",ans++);
                printf("Suspicious bugs found!\n");
            }
            else
            { 
                printf("Scenario #%d:\n", ans++);
                printf("No suspicious bugs found!\n");
            }
            printf("\n");
        }
        return 0;
    }

[A Bug_s Life]: http://acm.hdu.edu.cn/showproblem.php?pid=1829