human
Write me a code to the painter 's partition problem and the other steps required given the following:
The painter 's partition problem | function to calculate sum between two indices in list.
bottom up tabular dp.
initialize table.
base cases k = 1.
n = 1.
2 to k partitions for i in range ( 2 , k + 1 ) : 2 to n boards.
track minimum.
i - 1 th separator before position arr [ p = 1. . j ].
required.
Driver Code.
Calculate size of array ."
Solution in Python:
assistant
#Here is code to the painter 's partition problem and the other steps required.
 def sum ( arr , start , to ) :
	total = 0
	for i in range ( start , to + 1 ) :
		total += arr [ i ]
	return total
def findMax ( arr , n , k ) :
	dp = [ [ 0 for i in range ( n + 1 ) ] for j in range ( k + 1 ) ]
	for i in range ( 1 , n + 1 ) :
		dp [ 1 ] [ i ] = sum ( arr , 0 , i - 1 )
	for i in range ( 1 , k + 1 ) :
		dp [ i ] [ 1 ] = arr [ 0 ]
		for j in range ( 2 , n + 1 ) :
			best = 100000000
			for p in range ( 1 , j + 1 ) :
				best = min ( best , max ( dp [ i - 1 ] [ p ] , sum ( arr , p , j - 1 ) ) )
			dp [ i ] [ j ] = best
	return dp [ k ] [ n ]
arr = [ 10 , 20 , 60 , 50 , 30 , 40 ]
n = len ( arr )
k = 3
print ( findMax ( arr , n , k ) )
	n = len ( arr )
k = 3
print ( findMax ( arr , n , k ) )