Range Sum Queries 2

You are given an array of n elements and q queries. There are two types of queries:

1. Get the sum of a given range

2. Update the array element at the given position

Your task is to process the queries efficiently.

Input

The first line of the input contains two integers n and q (1 ≤ n, q ≤ 100 000), representing the number of elements in the array and the number of queries, respectively.

The second line contains n space-separated integers (), representing the initial elements of the array.

The following q lines each represent a query:

1. For range sum queries: The line starts with the number 1 followed by two integers and (), representing the range of indices [] for which the sum of elements needs to be calculated.

2. For array update queries: The line starts with the number 2 followed by two integers and (), representing the index of the element to be updated and its new value .

Output

For each range sum query, print the sum of the values within the given range on separate lines.

Examples