Marisa has $n$ mushrooms, $i^{th}$ mushroom weigh $A_i$.
Today she wants to make a potion bottle. She can use an arbitrary numbers of mushrooms in a potion bottle but two mushrooms that differ in weight by more than $k$ cannot be used in the same potion bottle.
What is the maximum number of mushrooms that can be used to make **two** potion bottle? (Marisa wants her potion to be as strong as possible).
### Input
- The first line contains an integers $n$.
- The second line contains $n$ integers $A_i$.
### Output
- The maximum number of mushrooms can be used.
### Constraints
- $1 \le n \le 10^5$.
- $1 \le k,A_i \le 10^9$
### Example
Input:
```
6 3
1 2 5 7 9 10
```
Output:
```
5
```
