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Program to find maximum ascending subarray sum using Python

Suppose we have an array of positive values called nums, we have to find the maximum possible sum of an ascending subarray in nums. We can say a subarray [nums_l, nums_l+1, ..., nums_r-1, nums_r] is ascending when for all i where l <= i < r, nums_i < nums_i+1.

So, if the input is like nums = [15,25,35,5,15,55], then the output will be 75 as [5,15,55] is increasing subarray with maximum sum.

To solve this, we will follow these steps −

  • total:= nums[0]

  • max_total:= nums[0]

  • for i in range 1 to size of nums, do

    • if nums[i] > nums[i-1], then

      • total := total + nums[i]

    • otherwise,

      • total:= nums[i]

    • if total > max_total, then

      • max_total:= total

  • return max_total

Let us see the following implementation to get better understanding −

Example

def solve(nums):
   total=nums[0]
   max_total=nums[0]
   for i in range(1,len(nums)):
      if nums[i] > nums[i-1]:
         total+=nums[i]
      else:
         total=nums[i]
      if total > max_total:
         max_total=total
   return max_total
nums = [15,25,35,5,15,55]
print(solve(nums))

Input

[15,25,35,5,15,55]

Output

75