Next Smaller Element

Next Smaller Element

For each element in an array, find the next element to its right that is smaller, using a monotonic stack.

Input format

The first line contains N. The second line contains N integers.

Output format

For each element print the first element to its right that is strictly smaller, or -1 if none exists — space-separated, in input order.

Constraints

• Values fit in a 64-bit signed integer
• Trailing whitespace and a trailing newline are ignored by the judge

Read from stdin, write to stdout. Sample cases below show the exact format.

4
4 2 3 1

2 1 1 -1

3
1 2 3

-1 -1 -1