Vupsen, Pupsen and 0

Description:

Input:

The first line contains a single integer $$$t$$$ ($$$1 \le t \le 100$$$) — the number of test cases. The next $$$2 \cdot t$$$ lines contain the description of test cases. The description of each test case consists of two lines.

The first line of each test case contains a single integer $$$n$$$ ($$$2 \le n \le 10^5$$$) — the length of the array.

The second line contains $$$n$$$ integers $$$a_1, a_2, \ldots, a_n$$$ ($$$-10^4 \le a_i \le 10^4$$$, $$$a_i \neq 0$$$) — the elements of the array $$$a$$$.

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

Output:

For each test case print $$$n$$$ integers $$$b_1, b_2, \ldots, b_n$$$ — elements of the array $$$b$$$ ($$$|b_1|+|b_2|+\ldots +|b_n| \le 10^9$$$, $$$b_i \neq 0$$$, $$$\sum_{i=1}^{n}a_i \cdot b_i=0$$$).

It can be shown that the answer always exists.

Sample Input:

3
2
5 5
5
5 -2 10 -9 4
7
1 2 3 4 5 6 7

Sample Output:

1 -1
-1 5 1 -1 -1
-10 2 2 -3 5 -1 -1

Note:

In the first test case, $$$5 \cdot 1 + 5 \cdot (-1)=5-5=0$$$. You could also print $$$3$$$ $$$-3$$$, for example, since $$$5 \cdot 3 + 5 \cdot (-3)=15-15=0$$$

In the second test case, $$$5 \cdot (-1) + (-2) \cdot 5 + 10 \cdot 1 + (-9) \cdot (-1) + 4 \cdot (-1)=-5-10+10+9-4=0$$$.