Salary Queries

A company has n employees with certain salaries. Your task is to keep track of the salaries and process queries.

Input

The first input line contains two integers n and q: the number of employees and queries. The employees are numbered 1,2,\ldots,n. The next line has n integers p_1,p_2,\ldots,p_n: each employee's salary. After this, there are q lines describing the queries. Each line has one of the following forms:

! k x: change the salary of employee k to x

? a b: count the number of employees whose salary is between a \ldots b

Output

Print the answer to each ? query.

Constraints

$1 \le n, q \le 2 \cdot 10^5$

$1 \le p_i \le 10^9$

$1 \le k \le n$

$1 \le x \le 10^9$

$1 \le a \le b \le 10^9$

Example

Input

5 3
3 7 2 2 5
? 2 3
! 3 6
? 2 3

Output

3
2