Your write-up shows real persistence and a very deep engagement with the mathematics of the problem. You didn’t just solve it—you built a careful argument, even writing out an inductive proof and extending the problem to general powers of 3. Honestly, I found it a little hard to read through all of your reasoning at once because it’s so detailed, but that also shows how thoroughly you explored the structure of the puzzle. The way you moved from counting cases, to proving uniqueness, to establishing a general claim really demonstrates very good mathematical thinking.
Your write-up shows real persistence and a very deep engagement with the mathematics of the problem. You didn’t just solve it—you built a careful argument, even writing out an inductive proof and extending the problem to general powers of 3. Honestly, I found it a little hard to read through all of your reasoning at once because it’s so detailed, but that also shows how thoroughly you explored the structure of the puzzle. The way you moved from counting cases, to proving uniqueness, to establishing a general claim really demonstrates very good mathematical thinking.
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