human
Maximize sum by selecting M elements from the start or end of rows of a Matrix | Function to select m elements having maximum sum.
Base case.
If precomputed subproblem occurred.
Either skip the current row.
Iterate through all the possible segments of current row.
Check if it is possible to select elements from i to j.
Compuete the sum of i to j as calculated.
Store the computed answer and return.
Function to precompute the prefix sum for every row of the matrix.
Preprocessing to calculate sum from i to j.
Utility function to select m elements having maximum sum.
Preprocessing step.
Initialize dp array with - 1.
Stores maximum sum of M elements.
Driver Code.
Given N.
Given M.
Given matrix.
Function call"
How can the above be solved in Python?

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What is a code to maximize sum by selecting M elements from the start or end of rows of a Matrix and the other steps required?
assistant
#Here is code to maximize sum by selecting M elements from the start or end of rows of a Matrix and the other steps required.
 def mElementsWithMaxSum ( matrix , M , block , dp ) :
	if block == len ( matrix ) :
		return 0
	if ( dp [ block ] [ M ] != - 1 ) :
		return dp [ block ] [ M ]
	ans = mElementsWithMaxSum ( matrix , M , block + 1 , dp )
	for i in range ( len ( matrix [ block ] ) ) :
		for j in range ( i , len ( matrix [ block ] ) ) :
			if ( j - i + 1 <= M ) :
				x = 0
				if i - 1 >= 0 :
					x = matrix [ block ] [ i - 1 ]
				ans = max ( ans , matrix [ block ] [ j ] - x + mElementsWithMaxSum ( matrix , M - j + i - 1 , block + 1 , dp ) )
	dp [ block ] [ M ] = ans
	return ans
def preComputing ( matrix , N ) :
	for i in range ( N ) :
		for j in range ( len ( matrix [ i ] ) ) :
			if j > 0 :
				matrix [ i ] [ j ] = matrix [ i ] [ j - 1 ]
	return matrix
def mElementsWithMaxSumUtil ( matrix , M , N ) :
	matrix = preComputing ( matrix , N )
	sum = 20
	dp = [ [ - 1 for i in range ( M + 5 ) ] for i in range ( N + 5 ) ]
	sum += mElementsWithMaxSum ( matrix , M , 0 , dp )
	print ( sum )
if __name__ == ' _ _ main _ _ ' :
	N = 3
	M = 4
	matrix = [ [ 2 , 3 , 5 ] , [ - 1 , 7 ] , [ 8 , 10 ] ]
	mElementsWithMaxSumUtil ( matrix , M , N )