# D. Find the Different Ones!

[Codeforces.com](https://codeforces.com/contest/1927/problem/D)

You are given an array a of n integers, and q queries.

Each query is represented by two integers l
and r (1≤l≤r≤n). Your task is to find, for each query, two indices i and j (or determine that they do not exist) such that:

- l ≤ i ≤ r
- l ≤ j ≤ r
- ai ≠ aj

In other words, for each query, you need to find a pair of different elements among al,al+1,…,ar, or report that such a pair does not exist.


## Input

The first line of the input contains a single integer t
(1≤t≤104) — the number of test cases. The descriptions of the test cases follow.

The first line of each test case contains a single integer n
(2≤n≤2⋅105) — the length of the array a.

The second line of each test case contains n
integers a1,a2,…,an (1≤ai≤106) — the elements of the array a.

The third line of each test case contains a single integer q
(1≤q≤2⋅105) — the number of queries.

The next q lines contain two integers each, l and r (1≤l<r≤n) — the boundaries of the query.

It is guaranteed that the sum of the values of n across all test cases does not exceed 2⋅105. Similarly, it is guaranteed that the sum of the values of q across all test cases does not exceed 2⋅105.


## Output

For each query, output two integers separated by space: i and j (l≤i,j≤r), for which ai≠aj. If such a pair does not exist, output i=−1 and j=−1.

You may separate the outputs for the test cases with empty lines. This is not a mandatory requirement.


## Example

Input
```
5
5
1 1 2 1 1
3
1 5
1 2
1 3
6
30 20 20 10 10 20
5
1 2
2 3
2 4
2 6
3 5
4
5 2 3 4
4
1 2
1 4
2 3
2 4
5
1 4 3 2 4
5
1 5
2 4
3 4
3 5
4 5
5
2 3 1 4 2
7
1 2
1 4
1 5
2 4
2 5
3 5
4 5
```

Output
```
2 3
-1 -1
1 3

2 1
-1 -1
4 2
4 6
5 3

1 2
1 2
2 3
3 2

1 3
2 4
3 4
5 3
5 4

1 2
4 2
1 3
2 3
3 2
5 4
5 4
```