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Copy path939A - Love Triangle.cpp
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939A - Love Triangle.cpp
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/*
As you could know there are no male planes nor female planes. However, each plane on Earth likes some other plane. There are n planes on Earth, numbered from 1 to n, and the plane with number i likes the plane with number fi, where 1 ≤ fi ≤ n and fi ≠ i.
We call a love triangle a situation in which plane A likes plane B, plane B likes plane C and plane C likes plane A. Find out if there is any love triangle on Earth.
Input
The first line contains a single integer n (2 ≤ n ≤ 5000) — the number of planes.
The second line contains n integers f1, f2, ..., fn (1 ≤ fi ≤ n, fi ≠ i), meaning that the i-th plane likes the fi-th.
Output
Output «YES» if there is a love triangle consisting of planes on Earth. Otherwise, output «NO».
You can output any letter in lower case or in upper case.
Examples
inputCopy
5
2 4 5 1 3
outputCopy
YES
inputCopy
5
5 5 5 5 1
outputCopy
NO
Note
In first example plane 2 likes plane 4, plane 4 likes plane 1, plane 1 likes plane 2 and that is a love triangle.
In second example there are no love triangles.
*/
#include<bits/stdc++.h>
using namespace std;
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n;
cin>>n;
vector<int> f(n+1);
for(int i=1;i<=n;i++) cin>>f[i];
bool love = false;
for(int i=1;i<=n;i++){
if(f[f[f[i]]] == i){
love=true;
break;
}
}
if(love) cout<<"YES";
else cout<<"NO";
return 0;
}