#include <bits/stdc++.h>
#define maxn 1001
#define son1 rt<<2 //左上
#define son2 rt<<2|1 //左下
#define son3 rt<<2|2 //右上
#define son4 rt<<2|3 //右下
#define midl ((l+r)/2)
#define midh ((u+d)/2)
using namespace std;
int a[1001][1001];
struct node{
int sum;
int lazy;
};
node tree[(maxn<<2)*(maxn<<2)];
int mergetree(node a,node b,node c,node d){
int res;
res=a.sum+b.sum+c.sum+d.sum;
return res;
}
void pushdown(int rt,int l,int r,int u,int d){
if(tree[rt].lazy){
if(l!=r&&u==d){
tree[son1].lazy+=tree[rt].lazy;
tree[son1].sum+=tree[rt].lazy*(midl-l+1);
tree[son3].lazy+=tree[rt].lazy;
tree[son3].sum+=tree[rt].lazy*(r-midl);
return;
}
if(l==r&&u!=d){
tree[son1].lazy+=tree[rt].lazy;
tree[son1].sum+=tree[rt].lazy*(midh-u+1);
tree[son2].lazy+=tree[rt].lazy;
tree[son2].sum+=tree[rt].lazy*(d-midh);
return;
}
tree[son1].lazy+=tree[rt].lazy;
tree[son1].sum+=tree[rt].lazy*(midl-l+1)*(midh-u+1);
tree[son3].lazy+=tree[rt].lazy;
tree[son3].sum+=tree[rt].lazy*(r-midl)*(midh-u+1);
tree[son4].lazy+=tree[rt].lazy;
tree[son4].sum+=tree[rt].lazy*(r-midl)*(d-midh);
tree[son2].lazy+=tree[rt].lazy;
tree[son2].sum+=tree[rt].lazy*(d-midh)*(midl-l+1);
tree[rt].lazy=0;
}
}
void buildtree(int rt,int l,int r,int u,int d){
tree[rt].lazy=0;
if(l==r&&u==d){
tree[rt].sum=a[l][u];
return;
}
if(l!=r&&u==d){
buildtree(son1,l,midl,u,u);
buildtree(son3,midl+1,r,u,u);
tree[son2].sum=tree[son4].sum=0;
tree[son2].lazy=tree[son4].lazy=0;
tree[rt].sum=mergetree(tree[son1],tree[son2],tree[son3],tree[son4]);
return;
}
if(l==r&&u!=d){
buildtree(son1,l,l,u,midh);
buildtree(son2,l,l,midh+1,d);
tree[son3].sum=tree[son4].sum=0;
tree[son3].lazy=tree[son4].lazy=0;
tree[rt].sum=mergetree(tree[son1],tree[son2],tree[son3],tree[son4]);
return;
}
buildtree(son1,l,midl,u,midh); //左上
buildtree(son2,l,midl,midh+1,d); //左下
buildtree(son3,midl+1,r,u,midh); //右上
buildtree(son4,midl+1,r,midh+1,d); //右下
tree[rt].sum=mergetree(tree[son1],tree[son2],tree[son3],tree[son4]);
return;
}
void update(int rt,int l,int r,int u,int d,int ql,int qr,int qu,int qd,int v){
if(l<=ql&&qr<=r&&u<=qu&&qd<=d){
tree[rt].sum+=v;
tree[rt].lazy=v;
return;
}
if(r<ql||l>qr||d<qu||u>qd){
return;
}
pushdown(rt,l,r,u,d);
if(l!=r&&u==d){
update(son1,l,midl,u,u,ql,qr,qu,qd,v);
update(son3,midl+1,r,u,u,ql,qr,qu,qd,v);
tree[rt].sum=mergetree(tree[son1],tree[son2],tree[son3],tree[son4]);
return;
}
if(l==r&&u!=d){
update(son1,l,l,u,midh,ql,qr,qu,qd,v);
update(son2,l,l,midh+1,d,ql,qr,qu,qd,v);
tree[rt].sum=mergetree(tree[son1],tree[son2],tree[son3],tree[son4]);
return;
}
update(son1,l,midl,u,midh,ql,qr,qu,qd,v); //左上
update(son2,l,midl,midh+1,d,ql,qr,qu,qd,v); //左下
update(son3,midl+1,r,u,midh,ql,qr,qu,qd,v); //右上
update(son4,midl+1,r,midh+1,d,ql,qr,qu,qd,v); //右下
tree[rt].sum=mergetree(tree[son1],tree[son2],tree[son3],tree[son4]);
return;
}
int query(int rt,int l,int r,int u,int d,int ql,int qr,int qu,int qd){
if(l<=ql&&qr<=r&&u<=qu&&qd<=d){
return tree[rt].sum;
}
pushdown(rt,l,r,u,d);
if(r<ql||l>qr||d<qu||u>qd){
return 0;
}
if(l!=r&&u==d){
return query(son1,l,midl,u,u,ql,qr,qu,qd)+query(son3,midl+1,r,u,u,ql,qr,qu,qd);
}
if(l==r&&u!=d){
return query(son1,l,l,u,midh,ql,qr,qu,qd)+ query(son2,l,l,midh+1,d,ql,qr,qu,qd);
}
return query(son1,l,midl,u,midh,ql,qr,qu,qd)+query(son2,l,midl,midh+1,d,ql,qr,qu,qd)+query(son3,midl+1,r,u,midh,ql,qr,qu,qd)+ query(son4,midl+1,r,midh+1,d,ql,qr,qu,qd);
}
#include <bits/stdc++.h>
#define maxn 1001
#define son1 rt<<2 //左上
#define son2 rt<<2|1 //左下
#define son3 rt<<2|2 //右上
#define son4 rt<<2|3 //右下
using namespace std;
int a[1001][1001];
struct node{
long long sum;
int lazy;
};
node tree[(maxn<<2)(maxn<<2)];
long long mergetree(node a,node b,node c,node d){
long long res;
res=a.sum+b.sum+c.sum+d.sum;
return res;
}
void pushdown(int rt,int l,int r,int u,int d){
if(tree[rt].lazy){
int midl=(l+r)/2;
int midh=(u+d)/2;
if(l!=r&&u==d){
tree[son1].lazy+=tree[rt].lazy;
tree[son1].sum+=tree[rt].lazy(midl-l+1);
tree[son3].lazy+=tree[rt].lazy;
tree[son3].sum+=tree[rt].lazy*(r-midl);
tree[rt].lazy=0;
return;
}
if(l==r&&u!=d){
tree[son1].lazy+=tree[rt].lazy;
tree[son1].sum+=tree[rt].lazy*(midh-u+1);
tree[son2].lazy+=tree[rt].lazy;
tree[son2].sum+=tree[rt].lazy*(d-midh);
tree[rt].lazy=0;
return;
}
tree[son1].lazy+=tree[rt].lazy;
tree[son1].sum+=tree[rt].lazy*(midl-l+1)(midh-u+1);
tree[son3].lazy+=tree[rt].lazy;
tree[son3].sum+=tree[rt].lazy(r-midl)(midh-u+1);
tree[son4].lazy+=tree[rt].lazy;
tree[son4].sum+=tree[rt].lazy(r-midl)(d-midh);
tree[son2].lazy+=tree[rt].lazy;
tree[son2].sum+=tree[rt].lazy(d-midh)*(midl-l+1);
tree[rt].lazy=0;
}
}
void buildtree(int rt,int l,int r,int u,int d){
tree[rt].lazy=0;
if(l==r&&u==d){
tree[rt].sum=1;
return;
}
int midl=(l+r)/2;
int midh=(u+d)/2;
if(l!=r&&u==d){
buildtree(son1,l,midl,u,u);
buildtree(son3,midl+1,r,u,u);
tree[son2].sum=tree[son4].sum=0;
tree[son2].lazy=tree[son4].lazy=0;
tree[rt].sum=mergetree(tree[son1],tree[son2],tree[son3],tree[son4]);
return;
}
if(l==r&&u!=d){
buildtree(son1,l,l,u,midh);
buildtree(son2,l,l,midh+1,d);
tree[son3].sum=tree[son4].sum=0;
tree[son3].lazy=tree[son4].lazy=0;
tree[rt].sum=mergetree(tree[son1],tree[son2],tree[son3],tree[son4]);
return;
}
buildtree(son1,l,midl,u,midh); //左上
buildtree(son2,l,midl,midh+1,d); //左下
buildtree(son3,midl+1,r,u,midh); //右上
buildtree(son4,midl+1,r,midh+1,d); //右下
tree[rt].sum=mergetree(tree[son1],tree[son2],tree[son3],tree[son4]);
return;
}
void update(int rt,int l,int r,int u,int d,int ql,int qr,int qu,int qd,int v){
if(ql<=l&&r<=qr&&qu<=u&&d<=qd){
tree[rt].sum+=v;
tree[rt].lazy=v;
return;
}
if(r<ql||l>qr||d<qu||u>qd){
return;
}
pushdown(rt,l,r,u,d);
int midl=(l+r)/2;
int midh=(u+d)/2;
if(l!=r&&u==d){
update(son1,l,midl,u,u,ql,qr,qu,qd,v);
update(son3,midl+1,r,u,u,ql,qr,qu,qd,v);
} else if(l==r&&u!=d){
update(son1,l,l,u,midh,ql,qr,qu,qd,v);
update(son2,l,l,midh+1,d,ql,qr,qu,qd,v);
}else{
update(son1,l,midl,u,midh,ql,qr,qu,qd,v); //左上
update(son2,l,midl,midh+1,d,ql,qr,qu,qd,v); //左下
update(son3,midl+1,r,u,midh,ql,qr,qu,qd,v); //右上
update(son4,midl+1,r,midh+1,d,ql,qr,qu,qd,v); //右下
}
tree[rt].sum=mergetree(tree[son1],tree[son2],tree[son3],tree[son4]);
return;
}
long long query(int rt,int l,int r,int u,int d,int ql,int qr,int qu,int qd){
if(ql<=l&&r<=qr&&qu<=u&&d<=qd){
return tree[rt].sum;
}
if(r<ql||l>qr||d<qu||u>qd){
return 0;
}
pushdown(rt,l,r,u,d);
int midl=(l+r)/2;
int midh=(u+d)/2;
if(l!=r&&u==d){
return query(son1,l,midl,u,u,ql,qr,qu,qd)+query(son3,midl+1,r,u,u,ql,qr,qu,qd);
}
if(l==r&&u!=d){
return query(son1,l,l,u,midh,ql,qr,qu,qd)+ query(son2,l,l,midh+1,d,ql,qr,qu,qd);
}
return query(son1,l,midl,u,midh,ql,qr,qu,qd)+query(son2,l,midl,midh+1,d,ql,qr,qu,qd)+query(son3,midl+1,r,u,midh,ql,qr,qu,qd)+ query(son4,midl+1,r,midh+1,d,ql,qr,qu,qd);
}
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