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Count of numbers in range [ L , R ] which can be represented as sum of two perfect powers | Function to find the number of numbers that can be expressed in the form of the sum of two perfect powers.
Stores all possible powers.
Push 1 and 0 in it.
Iterate over all the exponents.
Iterate over all possible numbers.
This loop will run for a maximum of sqrt ( R ) times.
Push this power in the array pows [ ].
Increase the number.
Stores if i can be expressed as the sum of perfect power or not.
int ok [ R + 1 ].
memset ( ok , 0 , sizeof ( ok ) ).
Iterate over all possible pairs of the array pows [ ].
The number is valid.
Find the prefix sum of the array ok [ ].
Return the count of required number.
Driver Code"
Solution in Python:

Can you provide a code to count of numbers in range [ L , R ] which can be represented as sum of two perfect powers and the other steps required?
assistant
#Here is code to count of numbers in range [ L , R ] which can be represented as sum of two perfect powers and the other steps required.
 def TotalPerfectPowerSum ( L , R ) :
	pows = [ ]
	pows . append ( 0 )
	pows . append ( 1 )
	for p in range ( 2 , 25 ) :
		num = 2
		while ( ( int ) ( pow ( num , p ) + 0.5 ) <= R ) :
			pows . append ( ( int ) ( pow ( num , p ) + 0.5 ) )
			num = num + 1
	ok = [ 0 for _ in range ( R + 1 ) ]
	for i in range ( 0 , int ( len ( pows ) ) ) :
		for j in range ( 0 , len ( pows ) ) :
			if ( pows [ i ] + pows [ j ] <= R and pows [ i ] + pows [ j ] >= L ) :
				ok [ pows [ i ] + pows [ j ] ] = 1
	for i in range ( 0 , R + 1 ) :
		ok [ i ] += ok [ i - 1 ]
	return ok [ R ] - ok [ L - 1 ]
if __name__ == " _ _ main _ _ " :
	L = 5
	R = 8
	print ( TotalPerfectPowerSum ( L , R ) )