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.
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!
Hint
Huge input,scanf is recommended.
Source
TUD Programming Contest 2005, Darmstadt, Germany
与食物链一题很相似。
#include <iostream>
#include <cstdio>
#include <map>
#include <set>
#include <vector>
#include <queue>
#include <stack>
#include <cmath>
#include <algorithm>
#include <cstring>
#include <string>
using namespace std;
#define INF 0x3f3f3f3f
#define maxn 2000
int n,m,flag;
int parent[maxn+10];
int re[maxn+10];
int getparent(int a)
{
if(parent[a]!=a){
int temp=getparent(parent[a]);
re[a]=(re[parent[a]]+re[a])&1;
parent[a]=temp;
}
return parent[a];
}
void Merge(int p,int q)
{
int a=getparent(p);
int b=getparent(q);
if(a==b){
if(re[p]==re[q]){
flag=1;
}
return;
}
parent[b]=a;
re[b]=(re[q]+re[p]+1)&1;
}
int main()
{
int t,ca=1;
scanf("%d",&t);
while(t--){
int n,m;
scanf("%d%d",&n,&m);
for(int i=0;i<=n;i++){
parent[i]=i;
re[i]=0;
}
flag=0;
int p,q;
while(m--){
scanf("%d%d",&p,&q);
if(flag){
continue;
}
Merge(p,q);
}
printf("Scenario #%d:\n",ca++);
if(flag){
printf("Suspicious bugs found!\n");
}else{
printf("No suspicious bugs found!\n");
}
printf("\n");
}
return 0;
}
本文介绍了一个关于虫群互动的研究实验,旨在验证一个假设:虫群内部仅存在两种性别且每种性别只与其他性别互动。通过输入一系列虫子互动的数据,算法能够判断该假设是否成立。该问题类似于食物链分析。
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