Next Greater Element on RightMedium

Next Greater Element on Right

MediumPractice library · +20 XPstackmonotonic stackarrays

Given an array of N integers, for each element, find the first element to its right that is strictly greater than it. If no such element exists, output -1 for that position. Print the results for all elements in their original order.

Input

The first line contains an integer N. The second line contains N space-separated integers, the elements of the array.

Output

Print N space-separated integers, where the i-th integer is the next greater element to the right of the i-th input element, or -1 if none exists.

Constraints

1 <= N <= 200000 -10^9 <= A[i] <= 10^9

Time limit 1 s (native code; slower languages get more)Memory 256 MB14 hidden tests

Example 1

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

For 2, next greater is 4. For 1, next greater is 2. For 2, next greater is 4. For 4, none (-1). For 3, none (-1).

Example 2

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

All elements have a next greater element to their right.

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