Peli

#include <bits/stdc++.h>

using namespace std;

vector<vector<bool>> result(2001, vector<bool>(2001));

void preCalc(){

    for (int a=0;a<=200;a++){
        for (int b=0;b<=2000;b++){
            result[a][b]=false;
        }
    }
    for (int a=0;a<=2000;a++){
        for (int b=0;b<=2000;b++){
            if (!result[a][b]){
                for (int i=1;i+a<=2000;i++){
                    result[a+i][b]=true;
                }
                for (int i=1;i+b<=2000;i++){
                    result[a][b+i]=true;
                }
                for (int i=1;i+max(a, b)<=2000;i++){
                    result[a+i][b+i]=true;
                }
            }
        }
    }
}


int main(){
    preCalc();
    int t;
    cin>>t;
    vector<bool> dude(t);
    for (int i=0;i<t;i++){
        int a,b;
        cin>>a>>b;
        dude[i]=result[a][b];
    }

    for (int i=0;i<t;i++){
        if (dude[i]){
            cout<<"first\n";
        }
        else{
            cout<<"second\n";
        }
    }

    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