human
Find the maximum sum ( a + b ) for a given input integer N satisfying the given condition | Function to return the maximum sum of a + b satisfying the given condition.
Consider all possible pairs and check the sum divides product property.
To find the largest factor k.
Check if the product is divisible by the sum.
Storing the maximum sum in the max_sum variable.
Return the max_sum value.
Driver code"
How can the above be solved in Python?
assistant
#Here is code to find the maximum sum ( a + b ) for a given input integer N satisfying the given condition and the other steps required.
 def getLargestSum ( N ) :
	for i in range ( 1 , int ( N ** ( 1 / 2 ) ) + 1 ) :
		for j in range ( i + 1 , int ( N ** ( 1 / 2 ) ) + 1 ) :
			k = N // j ;
			a = k * i ;
			b = k * j ;
			if ( a <= N and b <= N and a * b % ( a + b ) == 0 ) :
				max_sum = max ( max_sum , a + b ) ;
	return max_sum ;
if __name__ == " _ _ main _ _ " :
	N = 25 ;
	max_sum = getLargestSum ( N ) ;
	print ( max_sum ) ;