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 Julia (1.4.0) (judge verdict: Accepted)

using DataStructures
function main()
    n,q=myreads(Int)
    a=myreads(Int)
    f=FenwickTree(a)
    for i=1:q
        q1,q2,q3=myreads(Int)
        if q1==0
            inc!(f,q2+1,q3)
        elseif q2<1
            println(prefixsum(f,q3))
        else
            println(prefixsum(f,q3)-prefixsum(f,q2))
        end
    end
end

# ----------input function----------
sread()=chomp(readline())
sreads(sp=" ")=split(readline(),sp)
myread(ty)=parse(ty,sread())
myreads(ty)=parse.(ty,sreads())
main()