Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

Ex Input:
Problem: a batsman makes a score of 87 runs in the 17 th inning and thus increases his average by 3. find his average after 17 th inning.
Options: a. 39, b. 88, c. 26, d. 87, e. 11

Ex Output:
a


Ex Input:
Problem: a hiker walked for 3 days. she walked 18 miles on the first day, walking 3 miles per hour. on the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. on the third day 5 miles per hour for 6 hours. how many miles in total did she walk ?
Options: a. 68, b. 44, c. 58, d. 60, e. 62

Ex Output:
a


Ex Input:
Problem: if n is the product of all the integers from 5 to 20, inclusive, what is the greatest integer k for which 2 ^ k is a factor of n ?
Options: a. 11, b. 12, c. 13, d. 14, e. 15

Ex Output:

e