human
Number of subsequences of the form a ^ i b ^ j c ^ k | Returns count of subsequences of the form a ^ i b ^ j c ^ k.
Initialize counts of different subsequences caused by different combination of 'a.
Initialize counts of different subsequences caused by different combination of ' a ' and different combination of 'b.
Initialize counts of different subsequences caused by different combination of ' a ' , ' b ' and ' c ' ..
Traverse all characters of given string.
If current character is ' a ' , then there are following possibilities : a ) Current character begins a new subsequence . b ) Current character is part of aCount subsequences . c ) Current character is not part of aCount subsequences ..
If current character is ' b ' , then there are following possibilities : a ) Current character begins a new subsequence of b 's with aCount subsequences. b) Current character is part of bCount subsequences. c) Current character is not  part of bCount subsequences..
If current character is ' c ' , then there are following possibilities : a ) Current character begins a new subsequence of c 's with bCount subsequences. b) Current character is part of cCount subsequences. c) Current character is not  part of cCount subsequences..
Driver code"
How can the above be solved in Python?
 What is a code to number of subsequences of the form a ^ i b ^ j c ^ k and the other steps required?
assistant
#Here is code to number of subsequences of the form a ^ i b ^ j c ^ k and the other steps required.
 def countSubsequences ( s ) :
'
	aCount = 0
'
	bCount = 0
	cCount = 0
	for i in range ( len ( s ) ) :
		if ( s [ i ] == ' a ' ) :
			aCount = ( 1 + 2 * aCount )
		elif ( s [ i ] == ' b ' ) :
			bCount = ( aCount + 2 * bCount )
		elif ( s [ i ] == ' c ' ) :
			cCount = ( bCount + 2 * cCount )
	return cCount
if __name__ == " _ _ main _ _ " :
	s = " abbc "
	print ( countSubsequences ( s ) )