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/*

Task : Fenwick_Tree 2D

Author : Borworntat D. [Hydrolyzed~]

School : RYW

Language : C++

Created : 01 Oct 2021 [08:51]

*/

#include<bits/stdc++.h>

#define all(x) begin(x),end(x)

#define sz(x) (int)(x).size()

using namespace std;

using LL = long long;

using PII = pair<int ,int >;

using PLL = pair<long long ,long long >;

const int dir4[2][4] = {{1,-1,0,0},{0,0,1,-1}};

const int dir8[2][8] = {{-1,-1,-1,0,1,1,1,0},{-1,0,1,1,-1,0,1,-1}};

const int N = 10010;

LL tree[N][N];

void upd(int idxi, int idxj,int v){

for(; idxi<=N-10; idxi+=idxi&-idxi){

int now = idxj;

for(; now<=N-10; now+=now&-now){

tree[idxi][now] += v;

}

}

}

LL read(int idxi, int idxj, LL sum=0){

for(;idxi;idxi-=idxi&-idxi){

int now = idxj;

for(; now; now-=now&-now){

sum += tree[idxi][now];

}

}

return sum;

}