LogiQuest

60. Equilibrium Index

MediumPrefix Sum

Find the first (smallest) 0-based index i such that the sum of elements before i equals the sum of elements after i. Print -1 if none exists.

Input format

Line 1: n Line 2: n integers

Output format

The index, or -1.

Example 1

Input

7
-7 1 5 2 -4 3 0

Output

3

Example 2

Input

3
1 2 3

Output

-1

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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