Peli

#include<bits/stdc++.h>

using namespace std;

int main() {
    int t; cin >> t;

    vector<vector<int>> dp(2001, vector<int>(2001));
    vector<bool> py(2001), px(2001), pz(4002);
    for (int i = 1; i < 2001; i++) {
        for (int j = 1; j < 2001; j++) {
            if (i == j) continue;
            int d = 2000-i+j;
            if (!py[i] && !px[j] && !pz[d]) {
                dp[i][j] = 1;
                py[i] = px[j] = 1;
                py[j] = px[i] = 1;
                pz[d] = 1;
            }
        }
    }

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

Test 1 (public)

Group: 1, 2, 3

Verdict: ACCEPTED

Test 2

Group: 1, 2, 3

Verdict: WRONG ANSWER

Test 3

Group: 2, 3

Verdict: WRONG ANSWER

Test 4

Group: 3

Verdict: ACCEPTED

Test 5

Group: 2, 3

Verdict: WRONG ANSWER

Test 6

Group: 3

Verdict: WRONG ANSWER