Maximum Sum Non Adjacent Elements

easy
1. You are given a number n, representing the count of elements.
2. You are given n numbers, representing n elements.
3. You are required to find the maximum sum of a subsequence with no adjacent elements.

Input Format

A number n n1 n2 .. n number of elements

Output Format

A number representing the maximum sum of a subsequence with no adjacent elements.

Constraints

1 <= n <= 1000
-1000 <= n1, n2, .. n elements <= 1000

Notice

Try First, Check Solution later

1. You should first read the question and watch the question video.
2. Think of a solution approach, then try and submit the question on editor tab.
3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input
6
5
10
10
100
5
6
Output
116
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