Problem:
Score : 100 points

Problem Statement

You are given an array a_0, a_1, ..., a_{N-1} of length N. Process Q queries of the following types.

0 p x: a_p \gets a_p + x

1 l r: Print \sum_{i = l}^{r - 1}{a_i}.

Constraints

1 \leq N, Q \leq 500,000

0 \leq a_i, x \leq 10^9

0 \leq p < N

0 \leq l_i < r_i \leq N

All values in Input are integer.

Input

Input is given from Standard Input in the following format:

N Q
a_0 a_1 ... a_{N - 1}
\textrm{Query}_0
\textrm{Query}_1
:
\textrm{Query}_{Q - 1}

Output

For each query of the latter type, print the answer.

Sample Input 1

5 5
1 2 3 4 5
1 0 5
1 2 4
0 3 10
1 0 5
1 0 3

Sample Output 1

15
7
25
6

Solution in PyPy3 (7.3.0) (judge verdict: Accepted)

#!usr/bin/env python3
from collections import defaultdict, deque, Counter, OrderedDict
from bisect import bisect_left, bisect_right
from functools import reduce, lru_cache
from heapq import heappush, heappop, heapify

import itertools
import math, fractions
import sys, copy

def L(): return sys.stdin.readline().split()
def I(): return int(sys.stdin.readline().rstrip())
def SL(): return list(sys.stdin.readline().rstrip())
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI1(): return [int(x) - 1 for x in sys.stdin.readline().split()]
def LS(): return [list(x) for x in sys.stdin.readline().split()]
def R(n): return [sys.stdin.readline().strip() for _ in range(n)]
def LR(n): return [L() for _ in range(n)]
def IR(n): return [I() for _ in range(n)]
def LIR(n): return [LI() for _ in range(n)]
def LIR1(n): return [LI1() for _ in range(n)]
def SR(n): return [SL() for _ in range(n)]
def LSR(n): return [LS() for _ in range(n)]

def perm(n, r): return math.factorial(n) // math.factorial(r)
def comb(n, r): return math.factorial(n) // (math.factorial(r) * math.factorial(n-r))

def make_list(n, *args, default=0): return [make_list(*args, default=default) for _ in range(n)] if len(args) > 0 else [default for _ in range(n)]

dire = [[1, 0], [0, 1], [-1, 0], [0, -1]]
dire8 = [[1, 0], [1, 1], [0, 1], [-1, 1], [-1, 0], [-1, -1], [0, -1], [1, -1]]
alphabets = "abcdefghijklmnopqrstuvwxyz"
ALPHABETS = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
MOD = 1000000007
INF = float("inf")

sys.setrecursionlimit(1000000)

class BIT:
    def __init__(self, li):
        self.n, self.data = len(li) + 1, [0] + li
        for i in range(1, self.n):
            if i + (i & -i) < self.n: self.data[i + (i & -i)] += self.data[i]

    def add(self, i, a):
        i += 1
        while i < self.n:
            self.data[i] += a
            i += i & -i

    # sum of [0, i)
    def acc(self, i):
        res = 0
        while i > 0:
            res += self.data[i]
            i -= i & -i
        return res

    # sum of [l, r)
    def get(self, l, r = None):
        if r is None: r = l+1
        res = 0
        # return self.acc(r) - self.acc(l)

        while l < r:
            res += self.data[r]
            r -= r & -r
        while r < l:
            res -= self.data[l]
            l -= l & -l
        return res


def main():
    N, Q = LI()
    A = LI()
    query = LIR(Q)
    bit = BIT(A)
    # print([bit.get(i) for i in range(N)])

    for a, b, c in query:
        if a == 0:
            bit.add(b, c)
        else:
            print(bit.get(b, c))
        # print([bit.get(i) for i in range(N)])




if __name__ == '__main__':
    main()