The task is to generate the correct answer for a given math problem.

Input: Consider Input: Problem: the function f ( n ) is defined as the product of all the consecutive positive integers between 3 and n ^ 2 , inclusive , whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n , inclusive . the exponent on 2 in the prime factorization of f ( 3 ) / g ( 3 ) is

Output: 3


Input: Consider Input: Problem: albert invested rs . 8000 in a scheme for 2 years at compound interest rate 5 % p . a . how much amount will albert get on maturity of the fixed deposit ?

Output: 882


Input: Consider Input: Problem: how many positive integers less than 100 are neither multiples of 2 or 3 ?


Output: 33