#include "mosaic.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
using vi =vector<int>;
using vl = vector<ll>;
using vvi = vector<vi>;
using vvl = vector<vl>;
using pi = pair<int, int>;
using vpi = vector<pi>;
#ifdef LOCAL
#define dout std::cout
#else
#define dout if (0) std::cout
#endif
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define all(x) (x).begin(), (x).end()
#define en(x) (x).end()
#define bg(x) (x).begin()
#define rev(x) reverse(all(x))
#define sz(x) int((x).size())
#define FOR(i, a, b) for (int i = a; i < b; i++)
#define each(a, x) for (auto &a : x)
#define trace(x) for (auto &el : x) dout << el << " "
vl mosaic(vi X, vi Y, vi T, vi B, vi L, vi R) {
int Q = sz(T), n = sz(X);
vl C(Q, 0);
vvi grid(n, vi(n, 0));
FOR(i, 0, n) {
grid[0][i] = X[i];
grid[i][0] = Y[i];
}
FOR(i, 1, n) {
FOR(j, 1, n) {
if (grid[i-1][j] == 0 && grid[i][j-1] == 0) grid[i][j] = 1;
else grid[i][j] = 0;
}
}
vvl pref(n+1, vl(n+1, 0));
FOR(i, 0, n) {
FOR(j, 0, n) {
pref[i+1][j+1] = grid[i][j] + pref[i+1][j];
}
FOR(j, 0, n) {
pref[i+1][j+1] += pref[i][j+1];
}
}
// vl prefx(n+1, 0); FOR(i, 0, n) prefx[i+1] = prefx[i] + X[i];
FOR(qn, 0, Q) {
int x1 = T[qn], x2 = B[qn], y1 = L[qn], y2 = R[qn];
// C[qn] = prefx[y2+1] - prefx[y1];
C[qn] += pref[x2+1][y2+1];
C[qn] += pref[x1][y1];
C[qn] -= pref[x1][y2+1];
C[qn] -= pref[x2+1][y1];
}
return C;
}
