Maximum Sum Increasing Subsequence
Problem Statement
Given a number sequence, find the increasing subsequence with the highest sum. Write a method that returns the highest sum.
Example 1:
Input: {4,1,2,6,10,1,12}
Output: 32
Explanation: The increaseing sequence is {4,6,10,12}.
Please note the difference, as the LIS is {1,2,6,10,12} which has a sum of '31'.
Example 2:
Input: {-4,10,3,7,15}
Output: 25
Explanation: The increaseing sequences are {10, 15} and {3,7,15}.
Constraints:
1 <= nums.length <= 2500- -104 <= nums[i] <= 104
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