Codeforces Round #416 (Div. 2) has been moved to start on 27.05.2017 09:35 (UTC). ×

E. Divisibility Check
time limit per test
2 seconds
memory limit per test
64 megabytes
input
standard input
output
standard output

You are given an array of integers. Check whether there exists a number in this array which is divisible by all other numbers in this array. Output 1, if such a number exists, and 0 otherwise.

Input

The only line of the input contains a list of space-separated integers ai (1 ≤ ai ≤ 100) — elements of the array. The size of the array is between 2 and 10, inclusive. Note that the size of the array is not given explicitly!

Output

Output 1 if there exists element of this array which is divisible by all other elements of the array, and 0 otherwise.

Examples
Input
6 12 4
Output
1
Input
3 13
Output
0
Input
26 13 12
Output
0