Equal to the sum of the rest (I) P81585

Statement

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Write a program that, given a sequence of natural numbers, tells if there is any number equal to the sum of the rest.

Input

Input contains several cases. Each case begins with a number n≥1 followed by n natural numbers.

Output

For each case, tell if it has a number equal to the sum of the rest.

Public test cases

Input

6   1 0 5 3 1 0
7   1 0 3 3 1 0 2
2   666 666

Output

YES
NO
YES

Information