Shaping Regions

Source : USACO Gateway
Time limit : 1 sec Memory limit : 5 M

Submitted : 214, Accepted : 49

N opaque rectangles (1 <= N <= 1000) of various colors are placed on a white sheet of paper whose size is A wide by B long. The rectangles are put with their sides parallel to the sheet's borders. All rectangles fall within the borders of the sheet so that different figures of different colors will be seen.

The coordinate system has its origin (0,0) at the sheet's lower left corner with axes parallel to the sheet's borders.

INPUT FORMAT

The order of the input lines dictates the order of laying down the rectangles. The first input line is a rectangle "on the bottom".

Line 1: A, B, and N, space separated (1 <= A,B <= 10,000)
Lines 2-N+1: Five integers: llx, lly, urx, ury, color: the lower left coordinates and upper right coordinates of the rectangle whose color is `color' (1 <= color <= 2500) to be placed on the white sheet. The color 1 is the same color of white as the sheet upon which the rectangles are placed.

There are multiple testcases, process to the end of file.

SAMPLE INPUT

20 20 3
2 2 18 18 2
0 8 19 19 3
8 0 10 19 4

OUTPUT FORMAT

The output file should contain a list of all the colors that can be seen along with the total area of each color that can be seen (even if the regions of color are disjoint), ordered by increasing color. Do not display colors with no area.

Print a blank line after each testcase.

SAMPLE OUTPUT

1 91
2 84
3 187
4 38