Given a sequence of n positive integers. You must replace each element with the next nearest one (with a larger index) that is strictly larger than its value. If there is no larger element, replace this element with zero.

Input

First line contains the number of elements n (1 ≤ n ≤ 105). Second line contains n positive integers ai (ai ≤ 109) - the values of sequence elements.

Output

Print the desired sequence, separating the neighboring elements with a single space.