LogiQuest

238. Partition Equal Subset Sum

MediumKnapsack

Print YES if the array can be split into two subsets with equal sums, else NO.

Input format

Line 1: n Line 2: n positive integers

Output format

YES or NO

Example 1

Input

4
1 5 11 5

Output

YES

Example 2

Input

4
1 2 3 5

Output

NO

Constraints

1 ≤ n ≤ 200 1 ≤ values ≤ 100

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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