Mock CCC '20 Contest 2 S1 - Arithmetic Hybercube

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Points: 3 (partial)
Time limit: 2.0s
Memory limit: 128M

Problem type

Arithmetic Square, everyone's favourite problem. Welcome to the better problem, Arithmetic Line!

You are given N integers, which are guaranteed to form an arithmetic sequence. However, they appear scrambled! Can you recreate the arithmetic sequence given the N integers?

Recall that an arithmetic sequence of length N is a sequence of integers of the form

\displaystyle a, a+d, a+2d, \dots, a+(N-1)d

for integer values of a and d. For the purposes of this problem, d is a non-negative integer.

Input Specification

The first line will contain the integer N (1 \le N \le 100), the number of integers.

The second line will contain N integers, a_1, a_2, \dots, a_N (1 \le a_i \le 10^9), the integers you are given. It is guaranteed that these integers form an arithmetic sequence in some permutation of them.

Output Specification

Output the recreated arithmetic sequence.

Sample Input

7 3 5

Sample Output

3 5 7

Explanation For Sample

The arithmetic sequence of N=3 integers that is built has a=3 and d=2.


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