NCPC 2019 (yet again)

#### Start

2019-11-06 11:00 AKST

## NCPC 2019 (yet again)

#### End

2019-11-06 16:00 AKST
The end is near!
Contest is over.
Not yet started.
Contest is starting in -274 days 18:49:52

5:00:00

0:00:00

# Problem BBuilding Boundaries

Maarja wants to buy a rectangular piece of land and then construct three buildings on that land.

The boundaries of the buildings on the ground must have rectangular sizes $a_1 \times b_1$, $a_2 \times b_2$, and $a_3 \times b_3$. They can touch each other but they may not overlap. They can also be rotated as long as their sides are horizontal and vertical.

What is the minimum area of land Maarja has to buy?

## Input

The input consists of multiple test scenarios. The first line of input contains a single integer $t$ ($1 \le t \le 1000$), the number of scenarios. Then follow the $t$ scenarios. Each scenario consists of a single line, containing six integers $a_1$, $b_1$, $a_2$, $b_2$, $a_3$ and $b_3$ ($1 \le a_1,b_1,a_2,b_2,a_3,b_3 \le 10^9$).

## Output

For each test scenario, output the minimum area of land such that Maarja can construct the three buildings.

Sample Input 1 Sample Output 1
2
2 3 2 2 1 1
2 4 5 1 2 3

12
21