human
Can you provide a code to maximum average sum partition of an array and the other steps required given the following:
Maximum average sum partition of an array | Python3 program for maximum average sum partition.
storing prefix sums.
for each i to n storing averages.
Driver code.
K = 3.
atmost partitioning size"
How can the above be solved in Python?
assistant
#Here is code to maximum average sum partition of an array and the other steps required.
 def largestSumOfAverages ( A , K ) :
	n = len ( A ) ;
	pre_sum = [ 0 ] * ( n + 1 ) ;
	pre_sum [ 0 ] = 0 ;
	for i in range ( n ) :
		pre_sum [ i + 1 ] = pre_sum [ i ] + A [ i ] ;
	dp = [ 0 ] * n ;
	sum = 0 ;
	for i in range ( n ) :
		dp [ i ] = ( pre_sum [ n ] - pre_sum [ i ] ) / ( n - i ) ;
	for k in range ( K - 1 ) :
		for i in range ( n ) :
			for j in range ( i + 1 , n ) :
				dp [ i ] = max ( dp [ i ] , ( pre_sum [ j ] - pre_sum [ i ] ) / ( j - i ) + dp [ j ] ) ;
	return int ( dp [ 0 ] ) ;
A = [ 9 , 1 , 2 , 3 , 9 ] ;
print ( largestSumOfAverages ( A , K ) ) ;