Problem D: 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?
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.
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