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A Bug's Life

2019-11-10 19:11:59
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A Bug's Life

時間限制:1000 ms  |  內存限制:65535 KB難度:4描述 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.輸入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 10000) 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.輸出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.樣例輸入
23 31 22 31 34 21 23 4樣例輸出
Scenario #1:Suspicious bugs found!Scenario #2:No suspicious bugs found!

解題報告:種類并查集。把性別相同的蟲子放在同一個集合,然后每讀入一對蟲子號,判斷它們在不在同一集合,在則同性別,不在則繼續。

code

#include<iostream>#include<stdio.h>#include<queue>#include<vector>#include<stack>#include<cstring>#include<algorithm>using namespace std;typedef long long ll;const int MAXN = 10005; /*結點數目上限*/int pa[MAXN];    /*pa[x]表示x的父節點*/int rank[MAXN];    /*rank[x]是x的高度的一個上界*/int gender[MAXN];  // 與i性別相反的蟲子號/*創建一個單元集*/void make_set(int x){    pa[x] = x;    rank[x] = 0;    gender[x]=0;}/*帶路徑壓縮的查找*/int find_set(int x){    if(x != pa[x]){        pa[x] = find_set(pa[x]);    }    return pa[x];}/*按秩合并x,y所在的集合*/void union_set(int x, int y){    x = find_set(x);    y = find_set(y);    if(rank[x] > rank[y])/*讓rank比較高的作為父結點*/    {        pa[y] = x;    }    else    {        pa[x] = y;        if(rank[x] == rank[y])            rank[y]++;    }}int main(){  //  freopen("input.txt","r",stdin);    int t,m,n,k=1;    scanf("%d",&t);    while(t--){        scanf("%d%d",&m,&n);        for(int i=1;i<=m;i++){ //初始化            make_set(i);        }        int a,b,flag=1;        for(int i=0;i<n;i++){            scanf("%d%d",&a,&b);            if(!flag) //結果出來之后也要把數據讀完                continue;            if(find_set(a)==find_set(b)){  //判斷兩個蟲子在不在同一個集合                flag=0;                continue;            }            if(gender[a]==0) gender[a]=b; //把性別相同的蟲子放在同一個集合里            else union_set(gender[a],b);            if(gender[b]==0) gender[b]=a;            else union_set(gender[b],a);        }        if(k!=1)            printf("/n");        if(flag)            printf("Scenario #%d:/nNo suspicious bugs found!/n",k++);        else            printf("Scenario #%d:/nSuspicious bugs found!/n",k++);    }    return 0;}


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