Given an array $A$ of $n$ integers, your task is to determine whether there exists a subset of $A$ whose sum is equal to $k$.
### Input
- The first line contains two integers $n,k$.
- The second line contains $n$ integers $A_i$.
### Output
- Print YES if there exists a subset of $A$ whose sum is equal to $k; otherwise, print `NO`.
### Constraints
- $1 \le n \le 20$.
- $1 \le A_i,k \le 10^{18}$.
### Example
Input:
```
4 7
1 2 3 4
```
Output:
```
YES
```
