Peli

#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
const int N=2009;
 
bool f[N][N];
bool r[N],d[N],c[N];
 
void solve(){
    int n;
    cin>>n;
    d[0]=1;
    for(int i=1;i<=N;++i){
        for(int j=1;j<=i;++j){
            if((!r[i])&&(!r[j])&&(!d[i-j])){
                f[i][j]=1;
                r[i]=1;r[j]=1;
                d[i-j]=1;
            }
        }
    }
    while(n--){
        int a,b;
        cin>>a>>b;
        if(a<b)swap(a,b);
        cout<<(f[a][b]?"second":"first")<<endl;
    }
}
 
int main(){
    solve();
    return 0;
}

Test 1 (public)

Group: 1, 2, 3

Verdict: ACCEPTED

Test 2

Group: 1, 2, 3

Verdict: ACCEPTED

Test 3

Group: 2, 3

Verdict: ACCEPTED

Test 4

Group: 3

Verdict: ACCEPTED

Test 5

Group: 2, 3

Verdict: ACCEPTED

Test 6

Group: 3

Verdict: ACCEPTED