#include "mosaic.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
vector<long long> mosaic(vector<int> X, vector<int> Y, vector<int> T, vector<int> B, vector<int> L, vector<int> R) {
	int N = (int)X.size();
	int Q = (int)T.size();
    int MAX = min(40, N);
    vector<vector<int>> top(N, vector<int>(MAX));
    vector<vector<int>> left(MAX, vector<int>(N));
	for(int i = 0; i < N; i++){
        top[0][i] = X[i];
        if(i < MAX){
            top[i][0] == Y[i];
            left[0][i] = X[i];
        }
        left[i][0] = Y[i];
	}
    for(int y = 1; y < MAX; y++){
        for(int x = 1; x < N; x++){
            int col = top[y][x - 1] == 0 && top[y - 1][x] == 0 ? 1 : 0;
            top[y][x] = col;
        }
    }
    for(int y = 1; y < N; y++){
        for(int x = 1; x < MAX; x++){
            int col = left[y][x - 1] == 0 && left[y - 1][x] == 0 ? 1 : 0;
            left[y][x] = col;
        }
    }
	vector<ll> r(Q);
    for(int i = 0; i < Q; i++){
        if(B[i] < MAX){
            r[i] = top[B[i]][L[i]];
            continue;
        }
        if(L[i] < MAX){
           r[i] = left[B[i]][L[i]]; 
           continue;
        }
        int col = B[i] % 2 == L[i] % 2;
        r[i] = col;
    }
  	return r;
}
// #include "grader.cpp"
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