Mio and Lucky Array

Description:

Input:

The input consists of multiple test cases. The first line contains a single integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. The description of test cases follows.

The first line of each test case contains one integer $$$n$$$ ($$$2 \leq n \leq 2 \cdot 10^5$$$) — the number of elements in $$$a$$$.

The second line of the test case contains $$$n$$$ integers $$$a_1, a_2, \cdots, a_n$$$ ($$$-10^5 \leq a_i \leq 10^5$$$), where $$$a_i$$$ is the $$$i$$$-th element of $$$a$$$.

The third line of the test case contains one integer $$$m$$$ ($$$2 \leq m \leq n$$$) — the number of elements in $$$b$$$.

The fourth line of the test case contains $$$m$$$ integers $$$b_1, b_2, \cdots, b_m$$$ ($$$-10^{12} \leq b_i \leq 10^{12}$$$), where $$$b_i$$$ is the $$$i$$$-th element of $$$b$$$.

It is guaranteed that the sum of $$$n$$$ over all test cases does not exceed $$$2 \cdot 10^5$$$.

Output:

If it is impossible to transform $$$a$$$ so that it contains $$$b$$$ as a subarray, output $$$-1$$$.

Otherwise, the first line of output should contain an integer $$$k$$$ ($$$0 \leq k \leq n$$$), the number of operations to be done.

The second line should contain $$$k$$$ distinct integers, representing the operations done in order.

If there are multiple solutions, you can output any.

Notice that you do not need to minimize the number of operations.

Sample Input:

5
5
1 2 3 4 5
5
2 0 6 0 10
5
1 2 3 4 5
3
3 5 3
8
-3 2 -3 -4 4 0 1 -2
4
10 -6 7 -7
5
1 2 3 4 5
4
1 10 1 1
5
0 0 0 0 0
2
10 12

Sample Output:

1
1 
1
4 
5
1 3 4 6 8 
-1
-1

Note:

In the first test case, the sequence $$$a$$$ = $$$[1,2,3,4,5]$$$. One of the possible solutions is doing one operation at $$$i = 1$$$ (add $$$1$$$ to $$$a_1$$$, subtract $$$2$$$ from $$$a_2$$$, add $$$3$$$ to $$$a_3$$$, subtract $$$4$$$ from $$$a_4$$$, add $$$5$$$ to $$$a_5$$$). Then array $$$a$$$ is transformed to $$$a$$$ = $$$[2,0,6,0,10]$$$, which contains $$$b$$$ = $$$[2, 0, 6, 0, 10]$$$ as a subarray.

In the second test case, the sequence $$$a$$$ = $$$[1,2,3,4,5]$$$. One of the possible solutions is doing one operation at $$$i = 4$$$ (add $$$1$$$ to $$$a_4$$$, subtract $$$2$$$ from $$$a_5$$$). Then array $$$a$$$ is transformed to $$$a$$$ = $$$[1,2,3,5,3]$$$, which contains $$$b$$$ = $$$[3,5,3]$$$ as a subarray.

In the third test case, the sequence $$$a$$$ = $$$[-3, 2, -3, -4, 4, 0, 1, -2]$$$. One of the possible solutions is the following.

• Choose an integer $$$i=8$$$ to do the operation. Then array $$$a$$$ is transformed to $$$a$$$ = $$$[-3, 2, -3, -4, 4, 0, 1, -1]$$$.
• Choose an integer $$$i=6$$$ to do the operation. Then array $$$a$$$ is transformed to $$$a$$$ = $$$[-3, 2, -3, -4, 4, 1, -1, 2]$$$.
• Choose an integer $$$i=4$$$ to do the operation. Then array $$$a$$$ is transformed to $$$a$$$ = $$$[-3, 2, -3, -3, 2, 4, -5, 7]$$$.
• Choose an integer $$$i=3$$$ to do the operation. Then array $$$a$$$ is transformed to $$$a$$$ = $$$[-3, 2, -2, -5, 5, 0, 0, 1]$$$.
• Choose an integer $$$i=1$$$ to do the operation. Then array $$$a$$$ is transformed to $$$a$$$ = $$$[-2, 0, 1, -9, 10, -6, 7, -7]$$$.

The resulting $$$a$$$ is $$$[-2, 0, 1, -9, 10, -6, 7, -7]$$$, which contains $$$b$$$ = $$$[10, -6, 7, -7]$$$ as a subarray.

In the fourth test case, it is impossible to transform $$$a$$$ so that it contains $$$b$$$ as a subarray.

In the fifth test case, it is impossible to transform $$$a$$$ so that it contains $$$b$$$ as a subarray.