Maximum Sum Increasing Subsequence

easy
1. You are given a number n, representing the number of elements.
2. You are given n numbers, representing the contents of array of length n.
3. You are required to print the sum of elements of the increasing subsequence with maximum sum for the array.

Input Format

A number n .. n more elements

Output Format

A number representing the sum of elements of the increasing subsequence with maximum sum for the array.

Constraints

0 <= n <= 20
0 <= n1, n2, .. <= 100

Notice

Try First, Check Solution later

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2. Think of a solution approach, then try and submit the question on editor tab.
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Example

Input
10
10
22
9
33
21
50
41
60
80
1
Output
255
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