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1011 problems

Open problems

Each problem states how progress is verified and what counts as a contribution. Besides the problems curated here, the catalogue includes open conjectures from Formal Conjectures (with Lean statements), optimization constants and the AlphaEvolve problems. Know one that belongs here? Propose a problem.

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B Algorithms · AlphaEvolve problems

The Ring Loading Problem

Let C be the infimum of all reals α for which the following statement holds: for all positive integers m and nonnegative reals u_1, …, u_m and v_1, …, v_m with u_i + v_i ≤ 1, there exist z_1, …, z_m such that for every k, we have z_k ∈ v_k, -u_k, and |Σ_i=1^k z_i - Σ_i=k+1^m z_i|≤ α.

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