k-Amazing Numbers SOLUTION
You are given an array a consisting of n integers numbered from 1 to n. Let’s define the k-amazing number of the array as the minimum number that occurs in all of the subsegments of the array having length k (recall that a subsegment of a of length k is a contiguous part of a containing exactly k elements). If there is no integer occuring in all subsegments of length k for some value of k, then the k-amazing number is −1.
For each k from 1 to n calculate the k-amazing number of the array a.
The first line contains one integer t (1≤t≤1000) — the number of test cases. Then t test cases follow.
The first line of each test case contains one integer n (1≤n≤3⋅105) — the number of elements in the array. The second line contains n integers a1,a2,…,an (1≤ai≤n) — the elements of the array.
It is guaranteed that the sum of n over all test cases does not exceed 3⋅105.
For each test case print n integers, where the i-th integer is equal to the i-amazing number of the array.
1 2 3 4 5
4 4 4 4 2
1 3 1 5 3 1
-1 -1 3 2 1
-1 4 4 4 2
-1 -1 1 1 1 1