Peli

#include<bits/stdc++.h>
using namespace std;

#define int long long
#define debug(x) cout << #x << ": " << (x) << endl

const int M=2026;
int second_wins[M*M]={};

void solve() {
    int t;
    cin >> t;

    second_wins[1]=2;
    second_wins[2]=1;
    int d=2;

    for (int i=3; i<M; i++) {
        if (second_wins[i]>0) continue;

        second_wins[i] = i+d;
        second_wins[i+d] = i;
        d++;
    }

    for (int i=0, a, b; i<t; i++) {
        cin >> a >> b;
        if (second_wins[a]==b) cout << "second\n";
        else cout << "first\n";
    }
}

signed main() {
    cin.tie(0) -> ios::sync_with_stdio(0);
    solve();
}

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