盖房子问题，请大家踊跃发表意见

这是google编程大赛入围赛题目之一，在http://www.blogjava.net/emu/articles/10191.html上作了一些讨论，可是我感觉都不全面。我总感觉可以提炼出一个比较好的数学模型，下面是题目：
请大家一起讨论啊。

Problem Statement

We are building a rectangular house using manufactured sections for the walls. Each section is 4 feet long. There are three types of sections: window

sections, door sections, and regular sections. We have a fixed assortment of these sections, and want to design the house to have a maximum area, subject

to the following rules:
1) A house side must contain no more than one door.
2) The house must have at least one door.
3) A door section may not be at the end of a wall.
4) Each window section must be adjacent to two regular sections, one on each side of it in its wall.
Create a class HouseParty that contains a method maxArea that is given numReg, numWin, and numDoor (the available quantity of each type of section) and

that returns the maximum area of a house built from those sections. You are not required to use all the sections. If no house can be built your method should

return 0.
Definition

Class:
HouseParty
Method:
maxArea
Parameters:
int, int, int
Returns:
int
Method signature:
int maxArea(int numReg, int numWin, int numDoor)
(be sure your method is public)


Constraints
-
numReg, numWin, and numDoor will each be between 0 and 50 inclusive.
Examples
0)


8
0
0
Returns: 0
No house can be built since you have no door sections.
1)


8
0
1
Returns: 48
One way is to use 3 regular sections for the north wall, one regular section for the east wall and one for the west wall, and to use a door section between 2

regular sections for the south wall. This gives a house that is 12' x 4'. Below is a picture (with door and window sections shown as D and W, and regular

sections shown as - or | )

---
| |
-D-
2)


9
8
2
Returns: 144
One design is:
-D-
| |
D W
| |
-W-
3)


6
23
13
Returns: 48
We are very short of regular sections; one design is:
-
| |
D W
| |
-

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