When EiE_iEi occurs, all the points are packed into a 180° arc starting at point iii. The remaining arc (the gap going counterclockwise back to iii) is at least 180°. Now suppose some other point jjj also tried to be an anchor. Point jjj's clockwise semicircle is exactly 180°. But to contain all the points, it would need to bridge that gap of 180° or more while simultaneously containing point iii on the other side. A 180° arc cannot straddle a 180° gap. So EjE_jEj cannot hold.
Interested readers can follow this approach to train detectors for other domains—even general-purpose ones. Build an AIGC detector for academic papers, slap on a flashy frontend, and sell it as an “AI plagiarism checker” to clueless undergrads. If you make money, don’t forget to donate a little.，推荐阅读同城约会获取更多信息
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