Problem:
Range Sum Query

Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations:

add(i, x): add x to ai.

getSum(s, t): print the sum of as, as+1,...,at.

Note that the initial values of ai (i = 1, 2, . . . , n) are 0.

Input

n q
com1 x1 y1
com2 x2 y2
...
comq xq yq

In the first line, n (the number of elements in A) and q (the number of queries) are given. Then, q queries are given where com represents the type of queries. '0' denotes add(xi, yi) and '1' denotes getSum(xi, yi).

Output

For each getSum operation, print the sum in a line.

Constraints

1 ≤ n ≤ 100000

1 ≤ q ≤ 100000

If comi is 0, then 1 ≤ xi ≤ n, 0 ≤ yi ≤ 1000.

If comi is 1, then 1 ≤ xi ≤ n, 1 ≤ yi ≤ n.

Sample Input 1

3 5
0 1 1
0 2 2
0 3 3
1 1 2
1 2 2

Sample Output 1

3
2

Solution in C++ (judge verdict: Accepted)

#include <iostream>
#include<vector>
#include<algorithm>
#include<string>
#include<map>
#include<set>
#include<stack>
#include<queue>
#include<math.h>
using namespace std;
typedef long long ll;
#define int long long
typedef vector<int> VI;
typedef pair<int, int> pii;
typedef priority_queue<int> PQ;
#define fore(i,a) for(auto &i:a)
#define REP(i,n) for(int i=0;i<n;i++)
#define eREP(i,n) for(int i=0;i<=n;i++)
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define eFOR(i,a,b) for(int i=(a);i<=(b);++i)
#define SORT(c) sort((c).begin(),(c).end())
#define rSORT(c) sort((c).rbegin(),(c).rend())
#define LB(x,a) lower_bound((x).begin(),(x).end(),(a))
#define UB(x,a) upper_bound((x).begin(),(x).end(),(a))
#define INF 1000000000
#define LLINF 9223372036854775807
#define mod 1000000007
//vector<vector<int> > dp;
//vector<vector<vector<int> > > vvvi;
//dp=vector<vector<int> >(N, vector<int>(M,0));
//vector<pair<int,int> > v;
//v.push_back(make_pair(x,y));
//priority_queue<int,vector<int>, greater<int> > q2;


struct segtree {
public:
	const int SIZE = 1 << 18;
	VI seg, lazy;
	//seg:区間の合計値 lazy:区間に対して、加える値でまだ遅延しているもの

	segtree():seg(SIZE*2),lazy(SIZE*2){}
	void lazy_evaluate(int k, int l, int r) {
		if (lazy[k] != 0) {
			seg[k] += lazy[k];
			//区間[l,r)にすべて同じ値を追加することになっていて、
			//segには合計値が入っているので、加える値を足す
			if (r - l > 1) {
				lazy[k * 2 + 1] += lazy[k];
				lazy[k * 2 + 2] += lazy[k];
			}
			lazy[k] = 0;
		}
	}

	void update(int a, int b, int k, int l, int r, int x) {
		lazy_evaluate(k, l, r);
		if (r <= a || b <= l)return;
		if (a <= l && r <= b) {
			lazy[k] += x;
			lazy_evaluate(k, l, r);
		}
		else {
			update(a, b, k * 2 + 1, l, (l + r) / 2, x);
			update(a, b, k * 2 + 2, (l + r) / 2, r, x);
			seg[k] = seg[k * 2 + 1] + seg[k * 2 + 2];
		}
	}
	int query(int a, int b, int k, int l, int r) {
		lazy_evaluate(k, l, r);
		if (r <= a || b <= l)return 0;
		if (a <= l && r <= b)return seg[k];
		int x = query(a, b, k * 2 + 1, l, (l + r) / 2);
		int y = query(a, b, k * 2 + 2, (l + r) / 2, r);
		return x + y;
	}

	void update(int a,int b,int x){ update(a, b, 0, 0, SIZE, x); }
	//update(a,b,x) := [a,b)を全てxを加える
	int query(int a, int b) { return query(a, b, 0, 0, SIZE); }
	//query(a,b) := [a,b)に対する合計値を求める

};

signed main(){
cin.tie(0);
ios::sync_with_stdio(false);

	int N, Q;
	cin >> N >> Q;
	segtree st;
	REP(i, Q) {
		int c,l, r;
		cin >> c >> l >> r;
		l--;
		if(!c)st.update(l, l +1, r);
		else {
			r--;
			cout << st.query(l, r + 1) << endl;
		}
	}
	
	return 0;
}