LogiQuest

186. Zero-Sum Subarray Exists?

EasyPrefix SumHash Set

Print YES if some non-empty contiguous subarray sums to zero, else NO.

Input format

Line 1: n Line 2: n integers

Output format

YES or NO

Example 1

Input

5
4 2 -3 1 6

Output

YES

Example 2

Input

3
4 2 0

Output

YES

Constraints

1 ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 6 test cases, most of them hidden.

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