303413: CF661E. Divisibility Check

Memory Limit:64 MB Time Limit:2 S
Judge Style:Text Compare Creator:
Submit:0 Solved:0

Description

E. Divisibility Checktime limit per test2 secondsmemory limit per test64 megabytesinputstandard inputoutputstandard 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.

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

Input

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