Print Previous Smaller ElementEasy

Print Previous Smaller Element

EasyPractice library · +10 XPstack

Given a sequence of N integers, for each integer in the sequence, find the closest integer to its left that is strictly smaller than it. If no such integer exists, report -1. Print these results for each integer in the original sequence.

Input

The first line contains an integer N. The second line contains N space-separated integers a_1, a_2, ..., a_N.

Output

Print N space-separated integers, where the i-th integer is the previous smaller element for a_i, or -1 if none exists.

Constraints

1 <= N <= 1000 -10^9 <= a_i <= 10^9

Time limit 1 s (native code; slower languages get more)Memory 256 MB13 hidden tests

Example 1

Input
5
2 5 1 4 3
Output
-1 2 -1 1 1

For 2, no previous smaller element (-1). For 5, 2 is smaller. For 1, no previous smaller (-1). For 4, 1 is smaller. For 3, 1 is smaller.

Example 2

Input
4
1 2 3 4
Output
-1 1 2 3

Each element's previous smaller element is the one immediately to its left.

Hints