Knapsack

Description:

Input:

Each test contains multiple test cases. The first line contains the number of test cases $$$t$$$ ($$$1 \le t \le 10^4$$$). Description of the test cases follows.

The first line of each test case contains integers $$$n$$$ and $$$W$$$ ($$$1 \le n \le 200\,000$$$, $$$1\le W \le 10^{18}$$$).

The second line of each test case contains $$$n$$$ integers $$$w_1, w_2, \dots, w_n$$$ ($$$1 \le w_i \le 10^9$$$) — weights of the items.

The sum of $$$n$$$ over all test cases does not exceed $$$200\,000$$$.

Output:

For each test case, if there is no solution, print a single integer $$$-1$$$.

If there exists a solution consisting of $$$m$$$ items, print $$$m$$$ in the first line of the output and $$$m$$$ integers $$$j_1$$$, $$$j_2$$$, ..., $$$j_m$$$ ($$$1 \le j_i \le n$$$, all $$$j_i$$$ are distinct) in the second line of the output  — indices of the items you would like to pack into the knapsack.

If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights items in the knapsack.

Sample Input:

3
1 3
3
6 2
19 8 19 69 9 4
7 12
1 1 1 17 1 1 1

Sample Output:

1
1
-1
6
1 2 3 5 6 7

Note:

In the first test case, you can take the item of weight $$$3$$$ and fill the knapsack just right.

In the second test case, all the items are larger than the knapsack's capacity. Therefore, the answer is $$$-1$$$.

In the third test case, you fill the knapsack exactly in half.