Point Update In Square Root Decomposition

You are given a list of N numbers and Q queries. There are two types of queries:

1. f l r : In a line, the first character would be f, and 2 index l and r, you have to find the sum of numbers between l and r.
2. u i d : In a line, the first character would be u, and we have to change the value at index i in the original array by d.

Input Format

The first line contains N. The next line holds N numbers. Following the list is a number Q. The next Q lines each contain one of the 2 queries.

Output Format

Output the sum from l to r for type 1 query and update the value at index i for type 2 query.

Constraints

1 <= N <= 10^6
1 <= Q <= 10^5
1 <= arr[i] <= 10^9

Example

5
1 5 3 9 -2
3
f 0 4
u 2 3
f 0 4

16
19