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hugo/content/posts/2020-01-16-mystery-hunt.md
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lastmod: "2021-09-12T22:47:44.0000000+01:00"
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author: patrick
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categories:
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- mystery-hunt
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- programming
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comments: true
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date: "2020-01-16T00:00:00Z"
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title: MIT Mystery Hunt 2020 answers
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summary: "A couple of solution documents I made during the progress of the 2020 MIT Mystery Hunt."
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---
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# Turtle
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The [Turtle](https://www.mit.edu/~puzzle/2020/puzzle/turtle/) puzzle was a collection of Logo programs which ultimately spelled out words.
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See [turtle.nb] for a Mathematica notebook, or [turtle.pdf] for a statically rendered pdf.
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# Best Song Ever
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The [Best Song Ever](https://www.mit.edu/~puzzle/2020/puzzle/best_song/) puzzle was a .wav file of a recording of Disney's "It's A Small World".
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Its data segment encoded a .jpg file which suggested how to proceed.
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See [BestSongEver.nb] for a Mathematica notebook which processed the data segment (it depends on [tiny_planet.wav]), or [BestSongEver.pdf] for a statically rendered PDF; see [out.jpg] for the extracted JPG.
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# Story
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The [Story](https://www.mit.edu/~puzzle/2020/puzzle/story/) puzzle was a collection of rather incoherent paragraphs.
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Embedded in the page source was also a collection of very large integers, which turned out to have binary expansions that were of exactly the same length as their corresponding paragraph.
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Selecting the letters from the paragraph corresponding to 0-valued bits of the integers yielded a message which told us how to proceed.
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See [Story.nb] for a Mathematica notebook which performs that extraction, or [Story.pdf] for a statically rendered PDF.
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# Nauseator
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The [Nauseator](https://www.mit.edu/~puzzle/2020/puzzle/nauseator/) puzzle started with a coloured nonogram.
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See [Nauseator.nb] for a Mathematica notebook to parse out the data into structured form and shell out to `z3` to solve it, or [Nauseator.pdf] for a statically rendered PDF.
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(The PDF has a very blurry image at the end, for some reason; see [the actual image] for full resolution.)
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The input spreadsheet is [nauseator.xlsx].
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The notebook relies on [Z3Interop.wl] (static: [Z3Interop.pdf]), an extremely janky DSL to express SAT problems to send to the [Z3] SAT solver.
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See the application to Sudoku and to nonograms, at [Z3Interop.nb] (static: [Z3Interop.pdf]).
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[turtle.nb]: /MysteryHunt2020/turtle.nb
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[turtle.pdf]: /MysteryHunt2020/turtle.pdf
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[BestSongEver.nb]: /MysteryHunt2020/BestSongEver.nb
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[BestSongEver.pdf]: /MysteryHunt2020/BestSongEver.pdf
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[tiny_planet.wav]: https://puzzles.mit.edu/2020/puzzle/best_song/tiny_planet.wav
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[out.jpg]: /images/MysteryHunt2020/out.jpg
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[Story.nb]: /MysteryHunt2020/Story.nb
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[Story.pdf]: /MysteryHunt2020/Story.pdf
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[Nauseator.nb]: /MysteryHunt2020/nauseator.nb
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[Nauseator.pdf]: /MysteryHunt2020/nauseator.pdf
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[Nauseator.xlsx]: /MysteryHunt2020/nauseator.xlsx
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[the actual image]: /MysteryHunt2020/nauseator.svg
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[Z3Interop.wl]: /MysteryHunt2020/Z3Interop.wl
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[Z3Interop.nb]: /MysteryHunt2020/z3interop.nb
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[Z3Interop.pdf]: /MysteryHunt2020/z3interop.pdf
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[Z3]: https://github.com/Z3Prover/z3
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