HS12MBR - Minimum Bounding Rectangle

Compute the Minimum Bounding Rectangle (MBR) that surrounds the given set of 2D objects, i.e., the axis-aligned rectangle, which contains all of the specified objects and is the one with minimum area among all rectangles with this property.

Input

First, you are given t (t<100) - the number of test cases.

Each of the test cases starts with one integer n (n < 100) - the number of objects in the set. In the successive n lines, the descriptions of the objects follow.

Each object is described by one character and some parameters:

  • a point: p x y, where x and y are point coordinates.
  • a circle: c x y r, where x and y are the center coordinates and r is the radius of the circle.
  • a line segment: l x1 y1 x2 y2, where xi, yi are the coordinates of the endpoints of the line.

Successive test cases are separated by an empty line.

Output

For each of the test cases output four numbers - the coordinates of the two points that correspond to the lower left and the upper right corner of the MBR, in the following order: first the x-coordinate of the lower left corner, then the y-coordinate of the lower left corner, the x-coordinate of the upper right corner and the y-coordinate of upper right corner.

You can assume that all object parameters are integers and that -1000 -1000 1000 1000 is a bounding rectangle for all of them.

Example

Input:
3
1
p 3 3 

2
c 10 10 20
c 20 20 10

1
l 0 0 100 20

Output:
3 3 3 3 
-10 -10 30 30
0 0 100 20

Test case description

test 1: points only    (2 pts)
test 2: circles only   (2 pts) 
test 3: lines only     (2 pts)
test 4: mixed          (2 pts)
test 5: mixed          (2 pts)

Added by:kuszi
Date:2012-09-09
Time limit:0.200s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64 NODEJS PY_NBC
Resource:High School Programming League

hide comments
2016-08-17 07:32:56
unable to do

Last edit: 2016-08-17 07:33:58
2016-06-25 14:32:54
I believe an image of how we measure MBR based on the test cases provided, will help a lot.
2016-04-23 17:57:23
How do the coordinates go? From bottom left to top right or from top left to bottom right?
2016-04-21 10:01:54
what does 2 mean ? simply 2 nothing else.
2016-04-14 06:09:42
I got 10. What does it mean??
2016-04-13 20:12:14
0(limit: 2) is probably a minimum score required to show output. Because you scored nothing, they won't waste their time saving your output.
2016-03-11 07:12:54 jang daemyung
Hello guys, "0 (limit: 2)" means that your program is time-outed at the second input.
If you read meaningless line, you can solve this error.

3
1
p 3 3
(empty line)
2
c 10 10 20
c 20 20 10
2016-03-06 09:16:55 Mehul
10 in first attempt. :)
2016-02-16 13:49:25 Ankit
Axis of the rectangle has to aligned with x and y axis ?
2016-02-09 20:09:26
input is a string "c 20 10 10" or every parameter is in separate line, like:
c
20
10
10
?

Last edit: 2016-02-09 20:09:58
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