CodeChef IGAME solution not working

#include <iostream>
#include <vector>
using namespace std;
const int N = 1005;
int main(){
    ios_base::sync_with_stdio(false); cin.tie(nullptr);
    vector<vector<int>> dp(N,vector<int>(N,1));
    dp[0][0] = 0;
    int dr[] = {2,3}, dc[] = {1,2};
    int i=0, j=0, r=0;
    while(i<N && j<N) {
        dp[i][j] = 0;
        dp[j][i] = 0;
        i += dr[r];
        j += dc[r];
        r ^= 1;
    }
    int tt; cin >> tt;
    while (tt--) {
        int m, n, p, q;
        cin >> m >> n >> p >> q;
        cout << (dp[m-p][n-q] ? "Alice" : "Bob") << '\n';
    }
    return 0;
}