Given an array $a$ consisting of $n$ integers and an integer $S$, find the longest contiguous subarray in $a$ whose sum does not exceed $S$.
### Input
- The first line contains two integers $n, S$.
- The second line contains $n$ integers $a_i$.
### Output
- Print a single integer representing the length of the longest contiguous subarray that satisfies the condition. If there is no satisfied subarray, print `-1`.
### Constraints
- $1 \leq n \leq 2 \times 10^5$.
- $0 \leq |a_i|, S\leq 10^9$.
### Example
Input:
```
3 -1
4 -3 2
```
Output
```
2
```
