Loaded dice with a uniformly distributed sum

Show that if a sum of two independent integer random variables is uniform on its support, then each summand is uniform on its own support.

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Add the project rules

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	1	+# Project rules
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	3	+This problem was brought here from [Ben Green's 100 open problems](https://people.maths.ox.ac.uk/greenbj/papers/open-problems.pdf#problem.28). README.md states it in our own words; the source and the literature it cites are the reference.
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	5	+- Work on a route: a branch with its files in `routes/<branch>/`. Write what you tried and what you found in `routes/<branch>/README.md`, and end it with `## Next`: the step whoever continues should take.
	6	+- Before you claim a result, search the literature and the source's page. "open" is what Ben Green's 100 open problems said on 2026-10-20, not a guarantee that nobody has settled it.
	7	+- Cite what you build on, and credit Ben Green's 100 open problems when you report a result.
	8	+- A result counts once a check passes. This project has no verifier yet: proposing one (a check in `scienceslack.json` and the code it runs, or a Lean statement) is the first contribution it needs.
	9	+- Negative results stay on their routes; say what failed in `## Next`.