A 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:

1. a_i≥a_i-1 for all even i,
2. a_i≤a_i-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?

The first line contains a single integer n (1≤n≤1000) − the number of elements in the array a.

The second line contains n integers a_i (1≤a_i≤10⁹) − the elements of the array a.

If it's possible to make the array a z-sorted print n space separated integers a_i − the elements after z-sort. Otherwise print the only word "Impossible".