My decision:

1.) We consider polygon such what it is, we spend 2 straight linees in parallel OX, one passes through the lowermost point, another through the uppermost. We spend a third - a line of a break on middle between a theme to two. We look at fragments. If the area of the top fragment is more, then we lift a line of a break on 1/4 all intervals, else is lowered. Then shift on 1/8 etc. To put it briefly, binary search we find height of a horizontal that it divided into equal fragments.

2.) We turn a figure, concerning any fixed point on a small corner (about 0.01 radian)

3.) We carry out action number 1.


And so we shall consider all possible variants. Certainly sooner or later it is necessary to stop to rotate a figure. It at turn on 180 degrees from an initial arrangement of a figure.

My decision works for 0.078 seconds and 253 Kb.

What your thunk about it?


GOOD LUCK!

I am sorry for bad English

My solution differs from yours one, but I think your idea is interesting. I've solved it in a classical way using 2 binary searches - the first one inside the second, and then just a constants optimization...

Thank for good words :-)
Can you explain your method for me? You know my email.

Edited by author 21.06.2004 23:05

Edited by author 20.08.2008 20:22

I used similar idea and checked 10000 angles, but had wa10. Then I replaced it into 1000 and got AC. Now i'm wonder why, it seems to me accuracy lowered then.