Points in Figures: Rectangles

Given a list of rectangles and a list of points in the x-y plane, determine for each point which figures (if any) contain the point.

Input Specification

There will be n (≤ 10) rectangle descriptions, one per line. The first character will designate the type of figure (“r” for rectangle). This character will be followed by four real values designating the x-y coordinates of the upper left and lower right corners.

The end of the list will be signalled by a line containing an asterisk in column one.

The remaining lines will contain the x-y coordinates, one per line, of the points to be tested. The end of this list will be indicated by a point with coordinates 9999.9 9999.9; these values should not be included in the output.

Points coinciding with a figure border are not considered inside.

Output Specification

For each point to be tested, write a message of the form

Point i is contained in figure j

for each figure that contains that point. If the point is not contained in any figure, write a message of the form

Point i is not contained in any figure

Points and figures should be numbered in the order in which they appear in the input.

Sample Input

1. r 8.5 17.0 25.5 -8.5
2. r 0.0 10.3 5.5 0.0
3. r 2.5 12.5 12.5 2.5
4. *
5. 2.0 2.0
6. 4.7 5.3
7. 6.9 11.2
8. 20.0 20.0
9. 17.6 3.2
10. -5.2 -7.8
11. 9999.9 9999.9

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Output for Sample Input

1. Point 1 is contained in figure 2
2. Point 2 is contained in figure 2
3. Point 2 is contained in figure 3
4. Point 3 is contained in figure 3
5. Point 4 is not contained in any figure
6. Point 5 is contained in figure 1
7. Point 6 is not contained in any figure

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Diagram of sample input figures and points