A. Only Pluses
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Kmes has written three integers $$$a$$$, $$$b$$$ and $$$c$$$ in order to remember that he has to give Noobish_Monk $$$a \times b \times c$$$ bananas.

Noobish_Monk has found these integers and decided to do the following at most $$$5$$$ times:

  • pick one of these integers;
  • increase it by $$$1$$$.

For example, if $$$a = 2$$$, $$$b = 3$$$ and $$$c = 4$$$, then one can increase $$$a$$$ three times by one and increase $$$b$$$ two times. After that $$$a = 5$$$, $$$b = 5$$$, $$$c = 4$$$. Then the total number of bananas will be $$$5 \times 5 \times 4 = 100$$$.

What is the maximum value of $$$a \times b \times c$$$ Noobish_Monk can achieve with these operations?

Input

Each test contains multiple test cases. The first line of input contains a single integer $$$t$$$ ($$$1 \le t \le 1000$$$) — the number of test cases. The description of the test cases follows.

The first and only line of each test case contains three integers $$$a$$$, $$$b$$$ and $$$c$$$ ($$$1 \le a, b, c \le 10$$$) — Kmes's integers.

Output

For each test case, output a single integer — the maximum amount of bananas Noobish_Monk can get.

Example
Input
2
2 3 4
10 1 10
Output
100
600