human
What is a code to number of subsequences of maximum length K containing no repeated elements and the other steps required given the following:
Number of subsequences of maximum length K containing no repeated elements | Returns number of subsequences of maximum length k and contains no repeated element.
Sort the array a [ ].
Store the frequencies of all the distinct element in the vector arr.
count is the the number of such subsequences.
Create a 2 - d array dp [ n + 1 ] [ m + 1 ] to store the intermediate result.
Initialize the first row to 1.
Update the dp [ ] [ ] array based on the recurrence relation.
Return the number of subsequences.
Driver code"
Solution in Python:
assistant
#Here is code to number of subsequences of maximum length K containing no repeated elements and the other steps required.
 def countSubSeq ( a , n , k ) :
	a . sort ( reverse = False )
	arr = [ ]
	i = 0
	while ( i < n ) :
		count = 1
		x = a [ i ]
		i += 1
		while ( i < n and a [ i ] == x ) :
			count += 1
			i += 1
		arr . append ( count )
	m = len ( arr )
	n = min ( m , k )
	count = 1
	dp = [ [ 0 for i in range ( m + 1 ) ] for j in range ( n + 1 ) ]
	for i in range ( m + 1 ) :
		dp [ 0 ] [ i ] = 1
	for i in range ( 1 , n + 1 , 1 ) :
		j = m
		while ( j >= 0 ) :
			if ( j > m - i ) :
				dp [ i ] [ j ] = 0
			else :
				dp [ i ] [ j ] = dp [ i ] [ j + 1 ] + arr [ j ] * dp [ i - 1 ] [ j + 1 ]
			j -= 1
		count = count + dp [ i ] [ 0 ]
	return count
if __name__ == ' _ _ main _ _ ' :
	a = [ 2 , 2 , 3 , 3 , 5 ]
	n = len ( a )
	k = 3
	print ( countSubSeq ( a , n , k ) )