**Time limit:**1.00 s**Memory limit:**512 MB

- update the value at position $k$ to $u$

- what is the minimum value in range $[a,b]$?

**Input**

The first input line has two integers $n$ and $q$: the number of values and queries.

The second line has $n$ integers $x_1,x_2,\dots,x_n$: the array values.

Finally, there are $q$ lines describing the queries. Each line has three integers: either "$1$ $k$ $u$" or "$2$ $a$ $b$".

**Output**

Print the result of each query of type 2.

**Constraints**

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

- $1 \le x_i, u \le 10^9$

- $1 \le k \le n$

- $1 \le a \le b \le n$

**Example**

Input:

`8 4`

3 2 4 5 1 1 5 3

2 1 4

2 5 6

1 2 3

2 1 4

Output:

`2`

1

3