Blocks
Donald wishes to send a gift to his new nephew, Fooey. Donald is a bit
of a traditionalist, so he has chosen to send a set of N classic baby blocks.
Each block is a cube, 1 inch by 1 inch by 1 inch. Donald wants to stack
the blocks together into a rectangular solid and wrap them all up in brown
paper for shipping. How much brown paper does Donald need?
Input file - blocks.inp
The first line of input contains C, the number of test cases. For each
case there is an additional line containing N, the number of blocks to
be shipped. N does not exceed 1000.
Output file - blocks.out
Your program should produce one line of output per case, giving the minimal
area of paper (in square inches) needed to wrap the blocks when they are
stacked together.
Sample Input
5
9
10
26
27
100
Output for Sample Input
30
34
82
54
130