Maximum Sum Increasing Subsequence
Detailed guide and Python implementation for the 'Maximum Sum Increasing Subsequence' problem.
Problem Statement
Write a function max_sum_is(arr) that returns the maximum sum of any increasing subsequence in an array of integers arr.
- •1 <= len(arr) <= 1000
- •-10^4 <= arr[i] <= 10^4
Examples
max_sum_is([1, 101, 2, 3, 100, 4, 5])
106
The increasing subsequence with the maximum sum is [1, 2, 3, 100] which sums to 106.
max_sum_is([3, 4, 5, 10])
22
The increasing subsequence is the array itself, summing to 22.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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