human
Count number of ways to partition a set into k subsets | Returns count of different partitions of n elements in k subsets.
Table to store results of subproblems.
Base cases.
Fill rest of the entries in dp [ ] [ ] in bottom up manner.
Driver Code"
How can the above be solved in Python?
assistant
#Here is code to count number of ways to partition a set into k subsets and the other steps required.
 def countP ( n , k ) :
	dp = [ [ 0 for i in range ( k + 1 ) ] for j in range ( n + 1 ) ]
	for i in range ( n + 1 ) :
		dp [ i ] [ 0 ] = 0
	for i in range ( k + 1 ) :
		dp [ 0 ] [ k ] = 0
	for i in range ( 1 , n + 1 ) :
		for j in range ( 1 , k + 1 ) :
			if ( j == 1 or i == j ) :
				dp [ i ] [ j ] = 1
			else :
				dp [ i ] [ j ] = ( j * dp [ i - 1 ] [ j ] + dp [ i - 1 ] [ j - 1 ] )
	return dp [ n ] [ k ]
if __name__ == ' _ _ main _ _ ' :
	print ( countP ( 5 , 2 ) )