ZOJ Problem Set - 3926
A Mersenne prime is a prime number of the form Mn = 2n − 1.This is to say that it is a prime number which is one less than a power of two. They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17th century. The first four Mersenne primes (sequence A000668 in OEIS) are 3, 7, 31, and 127.
The 37th Mersenne prime is 23021377-1, which has 909526 decimal digits. You task is to give the parity of (x mod (23021377-1)). That is to say, try to find (x mod (23021377-1)) mod 2.
There are multiple test cases. The input is very huge, nearly 5 MiB. Please use the fast IO methods. The first line of input contains an integer T(T≤ 50) indicating the number of test cases. For each test case:
There is an integer x in one line. (0≤ x< 101300000)
For each test case, if the result is even, then output 0, otherwise output 1.
5 1 2 10 1000000007 12345478431674673261786478321654125365674123451276564712356471253674517132876760
1 0 0 1 0
Author: ZHOU, Yuchen
Source: ZOJ Monthly, February 2016