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.

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: ASM32-GCC ASM64 GAWK MAWK BC C-CLANG CPP14 CPP14-CLANG COBOL COFFEE D-CLANG D-DMD DART ELIXIR FANTOM FORTH GOSU GRV JS-MONKEY KTLN NIM NODEJS OBJC OBJC-CLANG OCT PICO PROLOG PYPY PY_NBC R RACKET RUST CHICKEN SED SQLITE SWIFT UNLAMBDA VB.NET Resource: High School Programming League