Hotter Colder

Time Limit:1000MS  Memory Limit:65536K
Total Submit:83 Accepted:27 

Description 
The children's game Hotter Colder is played as follows. Player A leaves the room while player B hides an object somewhere in the room. Player A re-enters at position (0,0) and then visits various other positions about the room. When player A visits a new position, player B announces "Hotter" if this position is closer to the object than the previous position; player B announces "Colder" if it is farther and "Same" if it is the same distance.

Input 
Input consists of up to 50 lines, each containing an x,y coordinate pair followed by "Hotter", "Colder", or "Same". Each pair represents a position within the room, which may be assumed to be a square with opposite corners at (0,0) and (10,10).

Output 
For each line of input print a line giving the total area of the region in which the object may have been placed, to 2 decimal places. If there is no such region, output 0.00. 

Sample Input 

10.0 10.0 Colder   //我这有疑问： 是和（0，0）比较，它给的都是临界的条件。
10.0 0.0 Hotter     但是我认为它的输入输出有问题：10.0 0.0 Hotter 应该输出 50或25 
0.0 0.0 Colder         0.0 0.0 Colder（应该是 same); `
10.0 10.0 Hotter


Sample Output 

50.00
37.50
12.50
0.00


Source 
Waterloo local 2001.01.

• 谁告诉你目标是(0,0)了 (1350) frkstyc 2005-08-05 19:13:44