Problem: 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.

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.

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.

Example

Input

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


Output

3
2

Solution (in PYTHON3):

Solution:
# -*- coding: utf-8 -*-

import sys
from operator import add

sys.setrecursionlimit(10 ** 9)
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
INF=float('inf')

class SegTree:
    """
    以下のクエリを処理する
    1.update:  i番目の値をxに更新する
    2.get_val: 区間[l, r)の値を得る
    """
 
    def __init__(self, n, func, init):
        """
        :param n: 要素数
        :param func: 値の操作に使う関数(min, max, addなど)
        :param init: 要素の初期値
        """
        self.n = n
        self.func = func
        self.init = init
        # nより大きい2の冪数
        n2 = 1
        while n2 < n:
            n2 <<= 1
        self.n2 = n2
        self.tree = [self.init] * (n2 << 1)
 
    def update(self, i, x):
        """
        i番目の値をxに更新
        :param i: index(0-indexed)
        :param x: update value
        """
        i += self.n2
        self.tree[i] = x
        while i > 1:
            self.tree[i >> 1] = x = self.func(x, self.tree[i ^ 1])
            i >>= 1
 
    def get_val(self, a, b):
        """
        [a, b)の値を得る
        :param a: index(0-indexed)
        :param b: index(0-indexed)
        """
        return self._get_val(a, b, 1, 0, self.n2)
 
    def _get_val(self, a, b, k, l, r):
        """
        [a, b)の値を得る内部関数
        :param k: 現在調べている区間のtree内index
        :param l, r: kが表す区間の左右端index [l, r)
        :return: kが表す区間と[a, b)の共通区間内での最小値。共通区間を持たない場合は初期値
        """
        # 範囲外なら初期値
        if r <= a or b <= l:
            return self.init
        # [a,b)が完全に[l,r)を包含するならtree[k]の値を採用
        if a <= l and r <= b:
            return self.tree[k]
        # 一部だけ範囲内なら2つに分けて再帰的に調査
        m = (l + r) // 2
        return self.func(
            self._get_val(a, b, k << 1, l, m),
            self._get_val(a, b, (k << 1) + 1, m, r)
        )

N,Q=MAP()
# 1-indexed対応
st=SegTree(N+1, add, 0)
for _ in range(Q):
    com,x,y=MAP()
    if com==0:
        st.update(x, y+st.get_val(x, x+1))
    else:
        print(st.get_val(x, y+1))