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D. Maximal Difference

time limit per test

2 secondsmemory limit per test

64 megabytesinput

standard inputoutput

standard outputYou are given an array of integers *a*_{i}. Find the largest absolute value of difference between adjacent elements of the array *max*(*abs*(*a*_{i} - *a*_{i + 1})).

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 a single integer — the largest absolute value of difference between adjacent elements of the array.

Examples

Input

2 10 4 8 6 12

Output

8

Input

3 3

Output

0

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