Hotter Colder

Hotter Colder

时间： 1ms        内存：64M

描述：

The children's game Hotter Colder is played as follows. Player A leaves the room while player B hides an object somewhere within. Player A re-enters at position (0, 0) and then visits various other locations 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, ``Colder" if it is farther, and ``Same" if it is the same distance.

输入：

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).

输出：

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

示例输入：

10.0 10.0 Colder
10.0 0.0 Hotter
0.0 0.0 Colder
10.0 10.0 Hotter

示例输出：

50.00
37.50
12.50
0.00

提示：

参考答案：

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