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Скачать или смотреть Newton Loves Different Cities |question of the day by newton school | 30/11/2022

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  • 2022-11-30
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Newton Loves Different Cities |question of the day by newton school | 30/11/2022
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Newton Loves Different Cities |question of the day by newton school | 30/11/2022

Problem Statement
There are N distinct cities C1, C2,. . CN on a number line and Newton is currently in city X.

Now he wants to travel to all other cities.

So he wants to choose an integer S such that he can visit all the cities starting from city X using 2 operations:
1) Subtract S from the current city number and go to the resultant city.
2) Add S to the current city number and go to the resultant city.

Find the maximum S such that newton can visit all the N cities.

(Note: He may visit other cities (not in the N cities list) as well in the process to visit all N cities)

Input

The first line of the input consists of 2 integers N and X
The next line contains N different integers C0, C1,. . CN

Output

Find the maximum S

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