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Maximum subsequence sum such that no K elements are consecutive | Function to find the maximum sum of a subsequence consisting of no K consecutive array elements.
Stores states of dp.
Stores the prefix sum.
Update the prefix sum.
Base case for i < K.
For indices less than k take all the elements.
For i >= K case.
Skip each element from i to ( i - K + 1 ) to ensure that no K elements are consecutive.
Update the current dp state.
dp [ N ] stores the maximum sum.
Driver Code.
Given array arr [ ].
Function call"
Solution in Python:
 Can you provide a code to maximum subsequence sum such that no K elements are consecutive and the other steps required?
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#Here is code to maximum subsequence sum such that no K elements are consecutive and the other steps required.
 def Max_Sum ( arr , K , N ) :
	dp = [ 0 ] * ( N + 1 )
	prefix = [ None ] * ( N + 1 )
	prefix [ 0 ] = 0
	for i in range ( 1 , N + 1 ) :
		prefix [ i ] = prefix [ i - 1 ] + arr [ i - 1 ]
	dp [ 0 ] = 0
	for i in range ( 1 , K ) :
		dp [ i ] = prefix [ i ]
	for i in range ( K , N + 1 ) :
		for j in range ( i , i - K , - 1 ) :
			dp [ i ] = max ( dp [ i ] , dp [ j - 1 ] + prefix [ i ] - prefix [ j ] )
	return dp [ N ]
if __name__ == " _ _ main _ _ " :
	arr = [ 4 , 12 , 22 , 18 , 34 , 12 , 25 ]
	N = len ( arr )
	K = 5
	print ( Max_Sum ( arr , K , N ) )