Problem

You are given an even integer $N$ and an integer $K$.
Generate an array $A$ of size $N$ such that:

• 1≤��≤1051≤Ai​≤105 for all $1\le i\le N$;
• The number of odd elements in the array is same as the number of even elements.
• The sum of all elements of the array is $K$.

If multiple such arrays exist, print any. If no such array exists, print $-1$ instead.

Input Format

• The first line of input will contain a single integer $T$, denoting the number of test cases.
• Each test case consists of two space-separated integers $N$ and $K$ — the size of the array and the required sum.

Output Format

For each test case, output on a new line, $N$ space-separated integers, denoting the array $A$ satisfying the given conditions.

If multiple such arrays exist, print any. If no such array exists, print $-1$ instead.

Constraints

Sample 1:

3
2 5
4 1
4 20

4 1
-1
3 4 5 8

Explanation:

Test case $1$: Consider the array $A=[4,1]$. It contains $1$ even as well as $1$ odd element. Also, the sum of elements of the array is $4+1=5$.

Test case $2$: It can be proven that there exists no array which satisfies the given conditions.

Test case $3$: Consider the array $A=[3,4,5,8]$. It contains $2$ even as well as $2$ odd elements. Also, the sum of elements of the array is $3+4+5+8=20$.