Determine overlaps of polar coordinate vectors

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SSOI SS
SSOI SS 2014-5-22
Hi, I need some help and hint for an algorithm, which can find the overlap covered by max. number of polar coordinates vectors (unit: degree). The difficult thing here is that the coordinate can "saturate" and take overturn. e.g. [355.9958 9.0903] and [2.55 10] share the area [9.0903 10].
Anyone has an idea? It has to be as fast as possible
e.g. with followiing polar coordinates in degree
316.1233 333.4349
298.3690 321.7830
320.1944 343.6518
301.3832 311.9872
356.9471 5.3322
251.7371 265.4261
334.9831 356.9471
139.6355 161.2220
169.7960 191.3099
232.0458 265.4261
320.6595 336.7323
246.2505 271.1458
356.5664 26.1049
328.9348 339.6955
355.9958 9.0903
329.2373 335.7723
10.7580 32.2109
262.0304 283.4957
327.0023 332.7305

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