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E. Divisibility Check

time limit per test

2 secondsmemory limit per test

64 megabytesinput

standard inputoutput

standard outputYou 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 *a*_{i} (1 ≤ *a*_{i} ≤ 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

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