The Mayor of Halloween Town was always concerned
about saving money. When the Pumpkin King, Jack
Skelington decided to try his hand at stealing Christmas
again, the mayor began trying to cut corners wherever he
could to afford it. They were in a recession, after all!
When the great Jack commanded him to order enough wrapping
paper for all the presents, the Mayor wanted to make sure
he would only the absolute minimum amount. In order to do
that, he has asked you, the local computer ghoul to write a
problem to calculate the amount of wrapping paper that each
of the different types of gifts would take. Thankfully for
you, all of the gifts are able to fit in different sizes of
rectangular boxes (The vampire trio, who is in charge of
presents this year, got their start in manufacturing things
while interns at Ikea). Each present can be represented by
a name, and the three dimensions of the box `a`,
`b`, `c`
(`0 < a <= b <= c`) in frightometers.

The procedure for wrapping the gift is first, a large
sheet of wrapping paper is laid on a flat surface. Then, the
box is placed on the wrapping paper with one of its
'`bc`' faces resting on the wrapping paper. The
wrapping paper is folded around the four '`c`' edges
and the excess is cut off, leaving a 3 frightometer wide
overlap on one of the '`ac`' faces (shown shaded in
the figure). At this point, the wrapping paper has
the form of a long rectangular tube.

Now more wrapping paper is cut off at the two ends of the
tube. It is cut flush with the '`a`' edges. Along the
'`b`' edges, rectangular flaps remain. These rectangular
flaps are cut so that when they are folded along the '`b`'
edges, they cover the two '`ab`' faces with a 3 frightometer
wide overlap (overlapping areas shown shaded in the figure). The
excess paper can be recycled (The Shadow on the Moon at night is
an accomplished paper maker!), so that isn't to be taken into
account. Calculate the amount of paper, in square frightometers
that each box needs in order to be properly wrapped.

Input will begin with a single line containing a single integer,
`n > 0`, where `n` is the number types of boxes
you need to process. The following `n` lines start with the
name of a product, in single quotes followed by three integers,
`a`, `b` and `c` which represent the
three dimensions of the package, as illustrated in the picture above.
Following the dimensions, a number of significant digits to include
in the answer. The number of significant digits will never be
greater than the number of digits in the answer. None of the
dimensions will be greater than 10,000.

5 'Kingdom Hearts III: When will it ever come out?' 1 2 3 1 'Killer Bunnies' 7 14 21 2 'Living head of Joseph Mengele' 34 81 101 1 'Barney and Friends: The complete Series' 1 7 11 3 'Abba: Greatest Hits' 45 78 650 5

"The Present Kingdom Hearts III: When will it ever come out? requires 40 square frightometers of paper to wrap" "The Present Killer Bunnies requires 1200 square frightometers of paper to wrap" "The Present Living head of Joseph Mengele requires 20000 square frightometers of paper to wrap" "The Present Barney and Friends: The complete Series requires 265 square frightometers of paper to wrap" "The Present Abba: Greatest Hits requires 169330 square frightometers of paper to wrap"