Subset Sum Exists Recursive HARD Recursion 50 XP 0 solved

Problem

Given an array of N integers (1 ≀ N ≀ 18), determine if there exists a non-empty subset whose sum is exactly K.

Input format

Input input.txt

- The first line contains N and K - The second line contains N integers

Output format

Output output.txt

- "YES" or "NO"

Example

input
4 6
3 2 5 1
output
YES

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