Sereja and Array - Problem

Sereja has got an array, consisting of n integers, a₁,a₂,...,a_n. Sereja is an active boy, so he is now going to complete m operations. Each operation will have one of the three forms:

Make v_i-th array element equal to x_i. In other words, perform the assignment a_{v_i}=x_i.
Increase each array element by y_i. In other words, perform n assignments a_i=a_i+y_i (1≤i≤n).
Take a piece of paper and write out the q_i-th array element. That is, the element a_{q_i}.

Help Sereja, complete all his operations.

Input

The first line contains integers n, m (1≤n,m≤10⁵). The second line contains n space-separated integers a₁,a₂,...,a_n (1≤a_i≤10⁹) − the original array.

Next m lines describe operations, the i-th line describes the i-th operation. The first number in the i-th line is integer t_i (1≤t_i≤3) that represents the operation type. If t_i=1, then it is followed by two integers v_i and x_i, (1≤v_i≤n,1≤x_i≤10⁹). If t_i=2, then it is followed by integer y_i (1≤y_i≤10⁴). And if t_i=3, then it is followed by integer q_i (1≤q_i≤n).

Output

For each third type operation print value a_{q_i}. Print the values in the order, in which the corresponding queries follow in the input.

Examples

Input

10 11
1 2 3 4 5 6 7 8 9 10
3 2
3 9
2 10
3 1
3 10
1 1 10
2 10
2 10
3 1
3 10
3 9

Output

3425: Sereja and Array

Description

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