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10154_ShapingRegions

2022-5-16 18:16| 发布者: Hocassian| 查看: 106| 评论: 0|原作者: 肇庆学院ACM合集

摘要:

C:\Users\Administrator\Downloads\2019-10-12-10-14-3-89504608033899-Problem List-采集的数据-后羿采集器.html

Pro.ID

10154

Title

Shaping Regions

Title链接

http://10.20.2.8/oj/exercise/problem?problem_id=10154

AC

Submit

Ratio

60.00%

时间&空间限制

Time Limit: 600/300 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)

描述

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.

输入

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.

输出

Description

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

Input

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.

Output

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 Input

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

Sample Output

Hint

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).

Shaping Regions: Hint 1

An array of all 'points' is too big; 16MB maximum.

Keep track of the rectangles' coordinates; split the rectangle when an overlap occurs, e.g.:

+--------+ +-+--+--+
| | | |2 | |
| | + +--+ |
| +-+ | --> | | | |
| +-+ | |1| |3 |
| | | +--+ |
| | | | 4| |
+--------+ +-+--+--+

Source

USACO training course

样例输入

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

样例输出

提示

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:

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).