POJ-2492 A Bug's Life

    xiaoxiao2021-03-25  112

    A Bug's Life Time Limit: 10000MS Memory Limit: 65536KTotal Submissions: 35935 Accepted: 11782

    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!

    Hint

    Huge input,scanf is recommended.

    只要判断偏移值是否相等即可。

    #include <iostream> #include <stdio.h> using namespace std; #define Maxn 100005 int n,m; int x,y; int flag=0; int pre[Maxn],w[Maxn]; void UF_Set(int n) { for(int i=0;i<=n;i++) { pre[i]=i; w[i]=0; } } int find(int x) { if(x==pre[x]) return x; int r=pre[x]; pre[x]=find(pre[x]); w[x]=(w[x]+w[r])%2; return pre[x]; } void Union(int x,int y) { int fx=find(x); int fy=find(y); if(fx==fy&&w[x]==w[y]) { flag=1; } else { pre[fy]=fx; w[fy]=(w[x]+1-w[y])%2; } } int main() { int t,m; scanf("%d",&t); for(int k=0;k<t;k++) { flag=0; scanf("%d%d",&n,&m); UF_Set(n); for(int i=0;i<m;i++) { scanf("%d%d",&x,&y); if(!flag) Union(x,y); } if(flag) { printf("Scenario #%d:\nSuspicious bugs found!\n",k+1); } else printf("Scenario #%d:\nNo suspicious bugs found!\n",k+1); cout<<endl; } return 0; }

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