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:
import sys
input = sys.stdin.readline


class SegmentTree0():
    """
    0-indexed Segment Tree
    """
    def __init__(self, n_, ele_id, op_func):
        self.n = 1 << (n_ - 1).bit_length()  # size
        self.data = [ele_id] * (2 * self.n - 1)  # binary tree (0-indexed)
        self.ele_id = ele_id  # identity element
        self.op_func = op_func  # binary operation of monoid

    def __getitem__(self, i):
        return self.data[i + self.n - 1]

    def build(self, data_init):
        for i in range(len(data_init)):
            self.data[i + self.n - 1] = data_init[i]  # set data in leaf
        for i in range(self.n - 2, -1, -1):
            self.data[i] = self.op_func(self.data[2 * i + 1],
                                        self.data[2 * i + 2])

    def update(self, i, x):
        # change i-th element to x (i : 0-indexed)
        i += self.n - 1
        self.data[i] = x
        while i > 0:
            i = (i - 1) // 2  # go to parenet-node
            self.data[i] = self.op_func(self.data[2 * i + 1],
                                        self.data[2 * i + 2])

    def query(self, a, b):
        # query for interval [a, b) (a, b : 0-indexed)
        return self.query_(a, b, 0, 0, self.n)

    def query_(self, a, b, k, l, r):
        if r <= a or b <= l:
            # [a, b) and [l, r) have no intersection
            return self.ele_id
        if a <= l and r <= b:
            # [a, b) includes [l, r)
            return self.data[k]
        else:
            # [a, b) and [l, r) have some overlap
            child_l = self.query_(a, b, 2 * k + 1, l, (l + r) // 2)
            child_r = self.query_(a, b, 2 * k + 2, (l + r) // 2, r)
            return self.op_func(child_l, child_r)


n, q = map(int, input().split())
ele_id = 0
op_func = lambda a, b: a + b
st_rsq = SegmentTree0(n, ele_id, op_func)
for _ in range(q):
    com, x, y = map(int, input().split())
    if com == 0:
        x -= 1
        st_rsq.update(x, st_rsq[x] + y)
    elif com == 1:
        x -= 1
        y -= 1
        ans = st_rsq.query(x, y + 1)
        print(ans)