JOCHEF - Farmer Sepp


Chief Farmer Josef aka Sepp needs to crop hay several times through the summer. Due to high petrol costs he can currently use his truck only once to drive to a spot where he will harvest the dried grass. Lazy by nature, John does not want to harvest those parts of the field which contain cows, since this would involve too much energy. Furthermore, John just crops a rectangular part of the field.

Input

Input contains multiple test cases. You are given three integers M, N, F (0 < M, N <= 4000), (0 <= F <= 1000000) which describe the size of the field (M rows, N columns, F unit area of such a field). Then follows the actual map which consists of M lines, each line containing N times the letters 'H' or 'C' standing for "Hay" or "Cow". Input terminates with M = N = 0.

Output

Print the size of the largest field, which "Sepp" would harvest.

Example

Input:
9 10 1
CHCHHHCCCC
CCHCHCHHHC
CCHCHHCCCC
CHHHHHCHHH
CHCHHHCCCH
CCCCHHHCHH
HHHCCHCCCC
HCHHHHCCCH
CHHCCCCHHC
0 0

Output:
8

hide comments
~!(*(@*!@^&: 2010-06-09 18:02:09

8 = 2 x 4 x 1? (F=1); and the largest rectangle without COW is 2x4.

Eternia: 2010-06-09 18:02:09

I also used the same memory as Damir and I got AC
This the best problem on spoj! Love it!

Last edit: 2013-01-27 13:40:35
:D: 2010-06-09 18:02:09

You can't get faster than O(M*N), unless you're not reading the whole input :)

Josef Ziegler: 2010-06-09 18:02:09

@Damir You are using too much memory.

Damir Ferizovic: 2010-06-09 18:02:09

Is there anything faster than O(NM) ?
My O(NM) gets TLE :\

Josef Ziegler: 2010-06-09 18:02:09

F is the unit area, since you do not know how large the rectangle in reality is

~!(*(@*!@^&: 2010-06-09 18:02:09

the problem requires calculate the largest rectangle which contains only H?

~!(*(@*!@^&: 2010-06-09 18:02:09

what is the role of F?

Josef Ziegler: 2010-06-09 18:02:09

I agree that it could be misleading, however it's not wrong 8). "You are given three integers N,M,F (...) (...)" does not say anything about the order of the input, you get this information by looking at the example. I clarified the input description nonetheless.


Added by:Josef Ziegler
Date:2010-04-15
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All
Resource:Josef Ziegler