Marisa has given you a sequence of length $n$, with $m$ operations:
1. Decrease by $x$ the numbers greater than $x$ in the interval $[l,r]$.
2. Count the occurrences of $x$ in the interval $[l,r]$.
### Input
The first line contains two integers $n,m$.
The second line contains $n$ integers representing the sequence $a$.
The next $m$ lines each contain four integers:
- `1 l r x`: Decrease by $x$ the numbers greater than $x$ in the interval $[l,r]$.
- `2 l r x`: Count the occurrences of $x$ in the interval $[l,r]$.
### Output
For each query, output an integer representing the answer.
### Constraints
- $1 \le l \le r \le n $
- $ x, n, m, a_i \le 10^5 $
### Example
Input
```
5 6
1 5 5 5 8
2 2 5 5
1 2 4 3
2 2 5 2
2 2 5 5
1 3 5 1
2 1 5 1
```
Output
```
3
3
0
3
```
