human
Give me a code to count all indices of cyclic regular parenthesis and the other steps required given the following:
Count all indices of cyclic regular parenthesis | Function to find all indices which cyclic shift leads to get balanced parenthesis.
Create auxiliary array.
Finding prefix sum and minimum element.
Update the minimum element.
ChecK if count of ' ( ' and ' ) ' are equal.
Find count of minimum element.
Find the frequency of mn.
Return the count.
Given string S.
Function call"
How can the above be solved in Python?
assistant
#Here is code to count all indices of cyclic regular parenthesis and the other steps required.
 def countCyclicShifts ( S , n ) :
	aux = [ 0 for i in range ( n ) ]
	for i in range ( 0 , n ) :
		if ( S [ i ] == ' ( ' ) :
			aux [ i ] = 1
		else :
			aux [ i ] = - 1
	mn = aux [ 0 ]
	for i in range ( 1 , n ) :
		aux [ i ] += aux [ i - 1 ]
		mn = min ( mn , aux [ i ] )
	if ( aux [ n - 1 ] != 0 ) :
		return 0
	count = 0
	for i in range ( 0 , n ) :
		if ( aux [ i ] == mn ) :
			count += 1
	return count
S = " ) ( ) ( "
N = len ( S )
print ( countCyclicShifts ( S , N ) )