#include "mosaic.h"
#include <vector>
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
#define pb push_back
#define F first
#define pii pair<int,int>
#define all(a) a.begin(),a.end()
#define S second
#define sz(a) (int)a.size()
#define rep(i , a , b) for(int i = (a) ; i <= (b) ; i++)
#define per(i , a , b) for(int i = (a) ; i >= (b) ; i--)
#define ld double
#define ll long long
using namespace std ;
const int maxn = 1e6 + 100 , sq = 20 , inf = 1e9 , mod = 998244353;
vector <ll> a[maxn] , s[maxn] ;
ll fen[maxn] ,n ,b[maxn];
int ch(int x, int y){
if(x+y==0)return 1;
return 0 ;
}
void upd(int x, int w){
x++;
while(x <= 2*n+3){
fen[x] += w;
x += x&-x ;
}
}
ll que(int x){
ll ans = 0;
x++;
while(x){
ans += fen[x] ;
x -= x&-x ;
}
return ans;
}
vector <int> vec[maxn] ;
ll sm[maxn];
std::vector<long long> mosaic(std::vector<int> X, std::vector<int> Y,std::vector<int> T, std::vector<int> B,std::vector<int> L, std::vector<int> R) {
n = sz(X) ;
rep(i , 0 ,n-1){
if(i <= sq+2){
rep(j , 0, n-1){a[i].pb(0);s[i].pb(0);}
}else{
rep(j , 0 ,sq+50){a[i].pb(0);s[i].pb(0);}
}
}
rep(i , 0 , n-1){
a[0][i] = X[i] ;
a[i][0] = Y[i] ;
}
rep(i , 1, n-1){
rep(j ,1, n-1){
if(i > sq && j > sq)break ;
if(a[i-1][j]==0 && a[i][j-1]==0){
a[i][j] = 1;
}else{
a[i][j] = 0 ;
}
}
}
rep(i , 0, n-1){
rep(j , 0 ,n-1){
if(i > sq&& j > sq)break ;
s[i][j] = a[i][j] ;
if(i)s[i][j] += s[i-1][j] ;
if(j)s[i][j] += s[i][j-1];
if(i&&j)s[i][j] -= s[i-1][j-1] ;
}
}
vector <ll> C ;
rep(i , 0 , sz(T)-1){
if(T[i] == 0)T[i]++;
if(L[i] == 0)L[i]++;
int s = B[i]-T[i]+1 , y =R[i]-L[i]+1;
if(s < 0 || y < 0){
C.pb(0);
continue ;
}
if(s*y%2==0){
C.pb(s*y/2) ;
}else{
if((B[i]+R[i])%2 == 0){
C.pb(s*y/2+1);
}else{
C.pb(s*y/2) ;
}
}
}
return C;
}
