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Required: Please submit a problem or compilation of multiple problems here, copy pasted from your TeX source file (including packages used). For each problem, you must include (1) the problem statement, (2) the answer, and (3) sufficient justification for an expert to confirm the answer (typically a proof or a reasonably thorough proof sketch, or possibly a Python/Sage/etc. script with explanation).
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Please copy paste the problems and solutions into here.
Optional: List the fields of mathematics tested in your problem(s), a few techniques used in your solution, and your estimate of how long it would take a fellow expert with the appropriate background for this problem in order to solve it. If you are submitting multiple problems, it may be easier to include this in the TeX file by each problem.
Optional: List the fields of mathematics tested in your problem(s), a few techniques used in your solution, and your estimate of how long it would take a fellow expert with the appropriate background for this problem in order to solve it. If you are submitting multiple problems, it may be easier to include this in the TeX file by each problem.
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