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Next Greater Element :

Author

Ayush Gangwani

Difficulty Level : Medium

Submissions : 740

Asked In : Amazon

Marks :15

: 7 | : 2

The next greater element of some element $$$x$$$ in an array is the first greater element that is to the right of $$$x$$$ in the same array.

You are given an integer array $$$A$$$ containing $$$n$$$ integers. Your task is to find the next greater element for every element in the array $$$A$$$.

Input

The first line of input contains an integer $$$t \hspace{2pt} (1 \le t \le 10^4)$$$ — the number of testcases. The description of $$$t$$$ testcases follows.

The first line of each testcase contains an integer $$$n \hspace{2pt} (1 \le n \le 10^5)$$$ — the number of elements in the array $$$A$$$.

The second line of each testcase contains $$$n$$$ space separated integers $$$a_0, a_1, ... a_n$$$ $$$(0 \le a_i \le 10^9)$$$ — the elements of array $$$A$$$.

It is guaranteed that the sum of $$$n$$$ over all testcases does not exceed $$$10^5.$$$

Output

For each testcase, print $$$n$$$ space separated integers — the $$$i^{th}$$$ integer should be the next greater element of the $$$i^{th}$$$ element in the array.

Example

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

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Result : Accepted

Test Cases :

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