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https://nanti.jisuanke.com/t/41298
螺旋矩阵计算:最外层都可以找规律求出;而里面的就是坐标缩小一下,n缩小一下就是一样的计算了;n方是要longlong;
离散二维差分:离散求和计算原坐标二维前缀和;
#include <iostream>
#include <cstring>
#include <queue>
#include <vector>
#include <algorithm>
#include <cstdio>
#include <set>
#include <map>
#include <stack>
//#include <tr1/unordered_map>
#include <cmath>
//#include<bits/stdc++.h>
using namespace std;
#define sfi(i) scanf("%d",&i)
#define sfl(i) scanf("%I64d",&i)
#define sfs(i) scanf("%s",(i))
#define pri(i) printf("%d\n",i)
#define prl(i) printf("%I64d\n",i)
#define sff(i) scanf("%lf",&i)
#define ll long long
#define ull unsigned long long
#define uint unsigned int
#define mem(x,y) memset(x,y,sizeof(x))
#define INF 0x3f3f3f3f
#define inf 1e18
#define eps 1e-10
#define PI acos(-1.0)
#define lowbit(x) ((x)&(-x))
#define fl() printf("flag\n")
#define MOD(x) ((x%mod)+mod)%mod
#define endl '\n'
#define pb push_back
#define lson (rt<<1)
#define rson (rt<<1|1)
#define FAST_IO ios::sync_with_stdio(false);cin.tie(0);cout.tie(0)
template<typename T>inline void read(T &x)
{
x=0;
static int p;p=1;
static char c;c=getchar();
while(!isdigit(c)){if(c=='-')p=-1;c=getchar();}
while(isdigit(c)) {x=(x<<1)+(x<<3)+(c-48);c=getchar();}
x*=p;
}
//-----------------------------------------------
const int maxn=1e6+9;
const int mod=1e9+7;
int n,m,q;
ll get_val(ll x)
{
ll ans=0;
while(x)
{
ans+=x%10;
x/=10;
}
return ans;
}
ll get_id(int x,int y)
{
ll ans=0;
int ceng=min(min(x,y),min(n-x+1,n-y+1));
if(ceng==1)
{
if(x==1) ans=2*(n-1)+y;
else if(x==n) ans=n-y+1;
else if(y==1) ans=2*n-x;
else if(y==n) ans=3*(n-1)+x;
return ans;
}
// int cha=n;
// for(int i=0;i<ceng-1;i++)
// {
// ans+=(cha-1)*4;
// cha-=2;
// }
ans=4*(ll)n*((ll)ceng-1)-4*(((ll)ceng-1)+((ll)ceng-1)*((ll)ceng-2));
x-=ceng;
x++;
y-=ceng;
y++;
ll nn=(ll)n-((ll)ceng-1)*2;
if(x==1) ans+=2*(nn-1)+y;
else if(x==nn) ans+=nn-y+1;
else if(y==1) ans+=2*nn-x;
else if(y==nn) ans+=3*(nn-1)+x;
return ans;
}
struct point
{
int x,y;
bool f;
}p[maxn];
int cnt;
struct Q
{
int x1,y1,x2,y2;
}que[maxn*4];
int cnty;
int yy[maxn];
bool cmp(point a,point b)
{
if(a.x==b.x)
{
if(a.y==b.y)
return a.f<b.f;
else return a.y<b.y;
}
return a.x<b.x;
}
int c[maxn];
void add(int x,int val)
{
while(x<maxn)
{
c[x]+=val;
x+=lowbit(x);
}
}
int query(int x)
{
int ans=0;
while(x>0)
{
ans+=c[x];
x-=lowbit(x);
}
return ans;
}
map<pair<int,int>,int >mp;
int main()
{
FAST_IO;
//freopen("input.txt","r",stdin);
// n=7;
// int x,y;
//
// for(int i=n;i>=1;i--)
// {
// for(int j=1;j<=n;j++) cout<<get_id(j,i)<<" ";
// cout<<endl;
// }
int T;
cin>>T;
while(T--)
{
mp.clear();
cnty=0;
cnt=0;
mem(c,0);
cin>>n>>m>>q;
for(int i=0;i<m;i++)
{
int x,y;
cin>>x>>y;
p[++cnt]={x,y,0};
}
for(int i=0;i<q;i++)
{
int x1,y1,x2,y2;
cin>>x1>>y1>>x2>>y2;
que[i]={x1,y1,x2,y2};
p[++cnt]={x1-1,y1-1,1};
p[++cnt]={x1-1,y2,1};
p[++cnt]={x2,y1-1,1};
p[++cnt]={x2,y2,1};
}
for(int i=1;i<=cnt;i++) yy[cnty++]=p[i].y;
sort(yy,yy+cnty);
int len=unique(yy,yy+cnty)-yy;
sort(p+1,p+1+cnt,cmp);
for(int i=1;i<=cnt;i++)
{
int pos=lower_bound(yy,yy+len,p[i].y)-yy+1;
//cout<<pos<<" ";
if(p[i].f==0) add(pos,get_val(get_id(p[i].x,p[i].y)));
else if(p[i].f==1) mp[{p[i].x,p[i].y}]=query(pos);
}
for(int i=0;i<q;i++)
{
int x1=que[i].x1;
int y1=que[i].y1;
int x2=que[i].x2;
int y2=que[i].y2;
ll ans=mp[{x2,y2}]+mp[{x1-1,y1-1}]-mp[{x1-1,y2}]-mp[{x2,y1-1}];
cout<<ans<<endl;
}
}
return 0;
}