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The following content is provided under a Creative Commons license. Your support will help MIT OpenCourseWare continue to offer high quality educational resources for free. To make a donation or view additional materials from hundreds of MIT courses, visit MIT OpenCourseWare at ocw.mit.edu. ERIC DEMAINE: All right, today we do NP completeness, an entire field in one lecture. Should be fun. I actually taught an entire class about this topic last semester, but now weamp;#39;re going to do it in 80 minutes. And weamp;#39;re going to look at lots of different problems, from Super Mario Brothers to jigsaw puzzles, and show that theyamp;#39;re NP -complete. This is a fun area. As Srini mentioned last class, itamp;#39;s all about reductions. Itamp;#39;s all about converting one problem into another, which is a fun kind of puzzle in itself. Itamp;#39;s an algorithmic challenge. And weamp;#39;re going to do it a lot. But first Iamp;#39;m going to remind you of some of the things you lea