A Bug's Life
Time Limit: 15000/5000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 12944 Accepted Submission(s): 4215
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.
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.
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.
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
3 3
1 2
2 3
1 3
4 2
1 2
3 4
Sample Output
Scenario #1:
Suspicious bugs found!
Suspicious bugs found!
Scenario #2:
No suspicious bugs found!
No suspicious bugs found!
这题还是找关系，然后套用公式 ，要注意的是这个题每组测试用例后面要多空一行。我标注的是relation[] 为0表示同性，1表示异性
#include <stdio.h>
#include <algorithm>
#include <string.h>
using namespace std;
const int N =;
int father[N];
int relation[N]; ///0表示同性,1表示异性 int _find(int x){
if(x!=father[x]){
int t = father[x];
father[x] = _find(t);
relation[x] = (relation[x]+relation[t])%;
}
return father[x];
}
int main()
{
int tcase;
scanf("%d",&tcase);
int k=;
while(tcase--){ int n,m;
scanf("%d%d",&n,&m);
for(int i=;i<=n;i++){
father[i] = i;
relation[i] = ;
}
int flag = ;
for(int i=;i<m;i++){
int a,b;
scanf("%d%d",&a,&b);
int roota = _find(a);
int rootb = _find(b);
if(roota==rootb){
if(relation[a]==relation[b]) { ///是同性
flag = ;
continue;
}
}else{
father[roota] = rootb;
relation[roota] =(-relation[a]+relation[b]++)%; ///roota->rootb = roota->a+a->b+b->rootb
}
}
printf("Scenario #%d:\n",(k++));
if(flag) printf("Suspicious bugs found!\n");
else printf("No suspicious bugs found!\n");
printf("\n");
}
return ;
}