In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Input: Consider Input: Problem: if w is the product of the integers from 1 to 30 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of w ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18

Output: c


Input: Consider Input: Problem: a cricketer scored 134 runs which included 12 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets . 
Options: a ) 55.22 % , b ) 54.54 % , c ) 63 % , d ) 70 % , e ) none of these

Output: a


Input: Consider Input: Problem: if 2 ^ ( 2 w ) = 8 ^ ( w − 1 ) , what is the value of w ? 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15


Output: a