B. z-sorttime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard outputA student of z-school found a kind of sorting called z-sort. The array a with n elements are z-sorted if two conditions hold:  ai ≥ ai - 1 for all even i,  ai ≤ ai - 1 for all odd i > 1. For example the arrays [1,2,1,2] and [1,1,1,1] are z-sorted while the array [1,2,3,4] isn’t z-sorted.Can you make the array z-sorted?InputThe first line contains a single integer n (1 ≤ n ≤ 1000) — the number of elements in the array a.The second line contains n integers ai (1 ≤ ai ≤ 109) — the elements of the array a.OutputIf it's possible to make the array a z-sorted print n space separated integers ai — the elements after z-sort. Otherwise print the only word "Impossible".ExamplesInput41 2 2 1Output1 2 1 2Input51 3 2 2 5Output1 5 2 3 2
Input41 2 2 1
Output1 2 1 2
['sortings', '*1000']