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"
Solution in Python:
 Write me 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 ) )