human
Find the number of solutions to the given equation | Function to return the count of valid values of X.
Iterate through all possible sum of digits of X.
Get current value of X for sum of digits i.
Find sum of digits of cr.
If cr is a valid choice for X.
Return the count.
Driver code"
Solution in Python:

What is a code to find the number of solutions to the given equation and the other steps required?
assistant
#Here is code to find the number of solutions to the given equation and the other steps required.
 def getCount ( a , b , c ) :
	count = 0
	for i in range ( 1 , 82 ) :
		cr = b * pow ( i , a ) + c
		tmp = cr
		sm = 0
		while ( tmp ) :
			sm += tmp % 10
			tmp //= 10
		if ( sm == i and cr < 10 ** 9 ) :
			count += 1
	return count
a , b , c = 3 , 2 , 8
print ( getCount ( a , b , c ) )