An array is called good if the elements form a consecutive integers array if sorted.
Given an array $A$ of $n$ integers and $q$ queries of the form $(l, r)$, determine if subarray $A[l...r]$ is a good subarray.
### Input
- The first line contains two integers $n, q$.
- The second line contains $n$ integers $A_i$.
- The next $q$ lines, each line contains two integers $l, r$, a query.
### Output
- For each query, print `YES` if the subarray is good, otherwise print `NO`.
### Constraints
- $1 \le n, q \le 10^5$.
- $1 \le A_i \le n$.
- $1 \le l \le r \le n$.
### Example
Input:
```
5 4
1 2 5 3 4
1 3
2 5
1 4
3 3
```
Output:
```
NO
YES
NO
YES
```
