#include "mosaic.h"
using namespace std;
vector<int> X2, Y2;
vector<int> diag; // X - Y
vector<int> inv;
int color(int a, int b) {
if (a == 0 && b == 0) return 1;
else return 0;
}
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();
if (X[1] == 0 && Y[1] == 0) {
X2.push_back(Y[1]);
for (int i = 1; i < N; i++) X2.push_back(color(X2.back(), X[i]));
Y2.push_back(X[1]);
for (int i = 1; i < N; i++) Y2.push_back(color(Y2.back(), Y[i]));
for (int i = 0; i <= 2*N; i++) {
if (abs(i - N) % 2 == 0) diag.push_back(1);
else diag.push_back(0);
}
inv = vector<int>(2*N+1, 0);
int p = 3;
while (p < N) {
if (X[p] == 1) {
if (p+1 < N && X[p+1] == 1) p += 2;
else {
inv[N-(p-1)] = 1;
p += 3;
}
}
else p += 2;
}
p = 3;
while (p < N) {
if (Y[p] == 1) {
if (p+1 < N && Y[p+1] == 1) p += 2;
else {
inv[N+(p-1)] = 1;
p += 3;
}
}
else p += 2;
}
for (int i = N+1; i <= 2*N; i++) inv[i] += inv[i-1];
for (int i = N-1; i >= 0; i--) inv[i] += inv[i+1];
for (int i = 0; i <= 2*N; i++) diag[i] = (diag[i] + inv[i]) % 2;
}
else {
X2.push_back(Y[1]);
for (int i = 1; i < N; i++) X2.push_back(color(X2.back(), X[i]));
Y2.push_back(X[1]);
for (int i = 1; i < N; i++) Y2.push_back(color(Y2.back(), Y[i]));
for (int i = 0; i <= 2*N; i++) {
if (abs(i - N) % 2 == 1) diag.push_back(1);
else diag.push_back(0);
}
inv = vector<int>(2*N+1, 0);
int p = 2;
while (p < N) {
if (X[p] == 1) {
if (p+1 < N && X[p+1] == 1) p += 2;
else {
inv[N-(p-1)] = 1;
p += 3;
}
}
else p += 2;
}
p = 2;
while (p < N) {
if (Y[p] == 1) {
if (p+1 < N && Y[p+1] == 1) p += 2;
else {
inv[N+(p-1)] = 1;
p += 3;
}
}
else p += 2;
}
for (int i = N+1; i <= 2*N; i++) inv[i] += inv[i-1];
for (int i = N-1; i >= 0; i--) inv[i] += inv[i+1];
for (int i = 0; i <= 2*N; i++) diag[i] = (diag[i] + inv[i]) % 2;
}
vector<long long> C(Q, 0);
for (int i = 0; i < Q; i++) {
if (T[i] == 0) {
C[i] = X[L[i]];
}
else if (T[i] == 1) {
C[i] = X2[L[i]];
}
else if (L[i] == 0) {
C[i] = Y[T[i]];
}
else if (L[i] == 1) {
C[i] = Y2[T[i]];
}
else {
C[i] = diag[N+T[i]-L[i]];
}
}
return C;
}
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