Peli

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

#define FIRST "first\n"
#define SECOND "second\n"

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int t;
    cin >> t;

    for (int i = 0; i < t; i++) {
        int a, b;
        cin >> a >> b;

        int smaller = min(a, b);
        int larger = max(a, b);

        // cout << smaller << larger;

        if (a == b) {
            cout << FIRST;
        } else if (smaller == 1 && larger == 2) {
            cout << SECOND;
        } else if (smaller == 1 || smaller == 2) {
            cout << FIRST;
        } else if (smaller == 3) {
            cout << (larger == 5 ? SECOND : FIRST);
        } else if (larger == smaller + 1 || larger == smaller + 2) {
            cout << FIRST;
        } else {
            int steps = 0;
            while (smaller != 3) {
                steps++;
                if (larger - smaller > 3) {
                    larger = smaller + 3;
                } else {
                    larger--;
                }
            }
            cout << (steps & 1 ? SECOND : FIRST);
        }
        // if (a == b) {
        //     cout << FIRST
        // } else {
        //     int smaller = min(a, b);
        //     int larger = max(a, b);
        //     if (smaller == 1 && larger == 2) {
        //         cout << SECOND;
        //     } else if (larger == smaller + 1) {
        //         cout << FIRST;
        //     } else 
        // }
    }

    return 0;
}

Test 1 (public)

Group: 1, 2, 3

Verdict: ACCEPTED

Test 2

Group: 1, 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 3

Group: 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 4

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 5

Group: 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 6

Group: 3

Verdict: TIME LIMIT EXCEEDED