human
Maximum size of subset such that product of all subset elements is a factor of N | Function to find the maximum size of the subset such that the product of subset elements is a factor of N.
Base Case.
Stores maximum size of valid subset.
Traverse the given array.
If N % arr [ i ] = 0 , include arr [ i ] in a subset and recursively call for the remaining array integers.
Return Answer.
Driver Code"
How can the above be solved in Python?
 Give me a code to maximum size of subset such that product of all subset elements is a factor of N and the other steps required?
assistant
#Here is code to maximum size of subset such that product of all subset elements is a factor of N and the other steps required.
 def maximizeSubset ( N , arr , M , x = 0 ) :
	if ( x == M ) :
		return 0
	ans = 0
	for i in range ( x , M ) :
		if ( N % arr [ i ] == 0 ) :
			ans = max ( ans , maximizeSubset ( N // arr [ i ] , arr , M , x + 1 ) + 1 )
	return ans
N = 64
arr = [ 1 , 2 , 4 , 8 , 16 , 32 ]
M = len ( arr )
print ( maximizeSubset ( N , arr , M ) )