A Can Display.
ScrollBar sells a wide range of exotic beers, which all come
in cans of an equally wide range of heights. Luckily, all beer
cans have the same width; exactly 66 millimeters. All of the
beer cans must be on display, so the customers can choose the
right beer. The display case will be a nicely decorated wooden
rectangle, to be hung behind the bar. Unfortunately, wall space
is slightly scarce, so the area taken up by the display case
must be as small as possible. Putting all the cans in a long
row might not be a good idea, since case must be at least as
tall as the tallest beer. Cans can be stacked on top of each
other, but not more than two cans high, as this would confuse
the customers.
Input
The first line is a single integer $1\leq n\leq 100$, the number of beer
cans to display. The second line is $n$ integers $10\leq h_ i\leq 1000$, which are the
heights of the beer cans in millimeters.
Output
A single integer; the smallest area (in square millimeters)
that the display case can have, if the beer cans are arranged
optimally.
Illustration of samples 1–5
Sample Input 1 |
Sample Output 1 |
3
90 50 150
|
19800
|
Sample Input 2 |
Sample Output 2 |
1
120
|
7920
|
Sample Input 3 |
Sample Output 3 |
2
120 150
|
17820
|
Sample Input 4 |
Sample Output 4 |
3
150 150 150
|
29700
|
Sample Input 5 |
Sample Output 5 |
4
90 30 120 150
|
27720
|
Sample Input 6 |
Sample Output 6 |
10
28 59 50 68 95 77 39 17 6 86
|
35970
|