human
Maximize the Sum of a Subsequence from an Array based on given conditions | Function to select the array elements to maximize the sum of the selected elements.
If the entire array is solved.
Memoized subproblem.
Calculate sum considering the current element in the subsequence.
Calculate sum without considering the current element in the subsequence.
Update the maximum of the above sums in the dp [ ] [ ] table.
Driver Code.
Initialize the dp array.
Function call"
Solution in Python:
 Give me a code to maximize the Sum of a Subsequence from an Array based on given conditions and the other steps required?
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#Here is code to maximize the Sum of a Subsequence from an Array based on given conditions and the other steps required.
 def maximumSum ( a , count , index , n , dp ) :
	if ( index == n ) :
		return 0
	if ( dp [ index ] [ count ] != - 1 ) :
		return dp [ index ] [ count ]
	take_element = ( a [ index ] * count + maximumSum ( a , count + 1 , index + 1 , n , dp ) )
	dont_take = maximumSum ( a , count , index + 1 , n , dp )
	dp [ index ] [ count ] = max ( take_element , dont_take )
	return dp [ index ] [ count ]
n = 5
a = [ - 1 , - 9 , 0 , 5 , - 7 ]
dp = [ [ - 1 for x in range ( n + 1 ) ] for y in range ( n + 1 ) ]
print ( maximumSum ( a , 1 , 0 , n , dp ) )