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This is a simple program that can separate points on a two-dimensional plane using a number of axis-parallel lines that's usually less than the maximum (n-1, for n points), and usually equal to the minimum. A greedy algorithm is used that assumes that no two points share the same x coordinate, and that no two points share the same y coordinate. Also all x and y coordinates must be restricted to the first quadrant, which is to say that they must be positive values. In addition, the coordinates must be whole numbers. Useful for computing a non-worst-case solution, quickly. The code was made in a rush, and isn't exactly a gem of clarity and perfection, but it does run correctly. As always, improvements are welcome. The program, entirely in `sep.c`, takes a series of input files whose names are formated "instanceNN", where NN is 00 to 99. All the solutions are written out to a file whose name is formated "greedy_solutionNN", where NN corresponds to the number of the instance. For example instance12 yields an output file called greedy_solution12. The format of the data in the instance files is as follows: NUMBER_OF_POINTS X0 Y0 X1 Y1 X3 Y2 Here's an actual example. 5 1 10 2 6 3 8 4 1 5 3 The format of the data in the solution files is as follows NUMBER_OF_LINES ORIENTATION_OF_LINE0 AXIS_INTERSECT0 ORIENTATION_OF_LINE1 AXIS_INTERSECT1 ORIENTATION_OF_LINE2 AXIS_INTERSECT2 Here's an actual example of a solution file (to the previous instance example). 4 v 3.500000 h 7.000000 v 2.500000 v 4.500000 There are four lines, the first is parallel to the y-axis (is vertical) and intersects the x-axis at x=3.5 So far, this code has only been tested on Illumos on X86. But should run in any environment that has a C compiler.
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Separate points in two dimensional space, using axis-parallel lines.
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