In an array of integers, a "peak" is an element which is greater than or equal to the adjacent integers and a "valley" is an element which is less than or equal to the adjacent inte­gers. For example, in the array {5, 8, 4, 2, 3, 4, 6}, {8, 6} are peaks and {5, 2} are valleys. Given an array of integers, sort the array into an alternating sequence of peaks and valleys.

Example:

Input: [5, 3, 1, 2, 3]
Output: [5, 1, 3, 2, 3]

Note:

• nums.length <= 10000