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
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并查集~
食物链是这道的增强版。
如果输入两虫子祖先不同,就直接加入从一开始和从n开始的并查集中;如果祖先相同,就查询是否由同一祖先。
#include<cstdio>
int t,n,m,fa[4001],flag,x,y,cnt;
int findd(int u)
{
return fa[u]==u ? u:fa[u]=findd(fa[u]);
}
int main()
{
scanf("%d",&t);
while(t--)
{
scanf("%d%d",&n,&m);flag=0;
for(int i=1;i<=2*n;i++) fa[i]=i;
for(int i=1;i<=m;i++)
{
scanf("%d%d",&x,&y);
if(findd(x)==findd(y)) flag=1;
else fa[findd(y+n)]=findd(x),fa[findd(y)]=findd(x+n);
}
if(flag) printf("Scenario #%d:\nSuspicious bugs found!\n\n",++cnt);
else printf("Scenario #%d:\nNo suspicious bugs found!\n\n",++cnt);
}
return 0;
}

通过分析虫族间的互动记录,利用并查集算法判断是否存在不符合预期的互动行为,进而验证关于虫族性别假设的有效性。
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