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

Input: Consider Input: Problem: a student committee on academic integrity has 132 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ?

Output: 1


Input: Consider Input: Problem: if x = 1 + √ 2 , then what is the value of x 4 - 4 x 3 + 4 x 2 + 3 ?

Output: 4


Input: Consider Input: Problem: the ratio of three numbers is 5 : 1 : 4 and their sum is 1000 . the last number of the three numbers is ?


Output: 400