10314 - 形成的区域

 N个不同的颜色的不透明的长方形(1 <= N <= 1000)被放置在一张宽为A长为B的白纸上。 这些长方形被放置时,保证了它们的边于白纸的边缘平行。 所有的长方形都放置在白纸内,所以我们会看到不同形状的各种颜色。 坐标系统的原点(0,0)设在这张白纸的左下角,而坐标轴则平行于边缘。

Input

每行输入的是放置长方形的方法。 第一行输入的是那个放在底的长方形(即白纸)。

第 1 行: A , B 和 N, 由空格分开 (1 <=A, B<=10,000) 第 2 到N+1行: 为五个整数 llx, lly, urx, ury, color 这是一个长方形的左下角坐标,右上角坐标和颜色。 颜色 1和底部白纸的颜色相同。

Output

输出文件应该包含一个所有能被看到颜色连同该颜色的总面积的清单( 即使颜色的区域不是连续的),按color的增序顺序。 不要显示没有区域的颜色。

Examples

Input

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

Output

1 91
2 84
3 187
4 38

Hint

Shaping Regions 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.

PROGRAM NAME: rect1 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.

SAMPLE INPUT (file rect1.in) 20 20 3 2 2 18 18 2 0 8 19 19 3 8 0 10 19 4

INPUT EXPLANATION Note that the rectangle delineated by 0,0 and 2,2 is two units wide and two high. Here's a schematic diagram of the input: 11111111111111111111 33333333443333333331 33333333443333333331 33333333443333333331 33333333443333333331 33333333443333333331 33333333443333333331 33333333443333333331 33333333443333333331 33333333443333333331 33333333443333333331 33333333443333333331 11222222442222222211 11222222442222222211 11222222442222222211 11222222442222222211 11222222442222222211 11222222442222222211 11111111441111111111 11111111441111111111

The '4's at 8,0 to 10,19 are only two wide, not three (i.e., the grid contains a 4 and 8,0 and a 4 and 8,1 but NOT a 4 and 8,2 since this diagram can't capture what would be shown on graph paper). 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. SAMPLE OUTPUT (file rect1.out) 1 91 2 84 3 187 4 38

时间限制 1 秒
内存限制 128 MB
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