We still haven't proven whether every finite list of numbers can always be rearranged into a sequence where every partial sum avoids a specific forbidden value.
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Global / Unspecified, Global
Combinatorial arrangement problems like this remain surprisingly resistant to full general solutions despite their simple appearance. This connects recreational mathematics with deeper unresolved questions in combinatorics.
Citation ID: WS01309
Title: We still haven't proven whether every finite list of numbers can always be rearranged into a sequence where every partial sum avoids a specific forbidden value.
URL: https://worldsolve.org/index.php?api=problem&id=1309