Find the Different Ones!
Description
You are given an array $a$ of $n$ integers, and $q$ queries.
Each query is represented by two integers $l$ and $r$ ($1 \le l \le r \le n$). Your task is to find, for each query, two indices $i$ and $j$ (or determine that they do not exist) such that:
- $l \le i \le r$;
- $l \le j \le r$;
- $a_i \ne a_j$.
In other words, for each query, you need to find a pair of different elements among $a_l, a_{l+1}, \dots, a_r$, or report that such a pair does not exist.
The first line of the input contains a single integer $t$ ($1 \le t \le 10^4$) — the number of test cases. The descriptions of the test cases follow.
The first line of each test case contains a single integer $n$ ($2 \le n \le 2 \cdot 10^5$) — the length of the array $a$.
The second line of each test case contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^6$) — the elements of the array $a$.
The third line of each test case contains a single integer $q$ ($1 \le q \le 2 \cdot 10^5$) — the number of queries.
The next $q$ lines contain two integers each, $l$ and $r$ ($1 \le l < r \le n$) — the boundaries of the query.
It is guaranteed that the sum of the values of $n$ across all test cases does not exceed $2 \cdot 10^5$. Similarly, it is guaranteed that the sum of the values of $q$ across all test cases does not exceed $2 \cdot 10^5$.
For each query, output two integers separated by space: $i$ and $j$ ($l \le i, j \le r$), for which $a_i \ne a_j$. 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.
Input
The first line of the input contains a single integer $t$ ($1 \le t \le 10^4$) — the number of test cases. The descriptions of the test cases follow.
The first line of each test case contains a single integer $n$ ($2 \le n \le 2 \cdot 10^5$) — the length of the array $a$.
The second line of each test case contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^6$) — the elements of the array $a$.
The third line of each test case contains a single integer $q$ ($1 \le q \le 2 \cdot 10^5$) — the number of queries.
The next $q$ lines contain two integers each, $l$ and $r$ ($1 \le l < r \le n$) — the boundaries of the query.
It is guaranteed that the sum of the values of $n$ across all test cases does not exceed $2 \cdot 10^5$. Similarly, it is guaranteed that the sum of the values of $q$ across all test cases does not exceed $2 \cdot 10^5$.
Output
For each query, output two integers separated by space: $i$ and $j$ ($l \le i, j \le r$), for which $a_i \ne a_j$. 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.
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
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