Additive Squares

Word of length 2743 over {0, 1, 5, 11, 22}

by Aayush Rajasekaran, 2026-08-26 · the current record for this alphabet · JSON

Display: drawn for the equivalent alphabet translated by -8 (drift removed); downsampled ×3.

0 22 1 11 0 5 22 11 22 0 1 11 5 22 0 22 11 5 11 0 5 0 1 0 22 11 5 1 11 5 22 11 0 5 22 11 22 1 0 22 11 5 22 5 1 22 5 22 11 22 0 22 5 0 5 1 22 5 0 11 0 5 1 0 11 0 1 22 0 5 22 1 11 22 11 0 11 1 5 11 0 5 11 22 5 11 5 0 5 1 11 5 0 11 0 22 11 1 5 0 5 22 11 5 1 0 22 11 1 5 22 5 0 5 1 0 1 11 5 22 1 22 11 0 22 11 1 11 22 5 11 1 0 1 5 22 1 11 5 0 22 11 22 0 1 22 1 11 1 0 1 11 5 11 22 11 1 0 22 11 0 5 0 22 0 1 22 1 11 5 0 22 5 22 11 22 0 11 5 11 1 0 11 5 22 1 22 5 22 1 11 5 22 0 11 22 0 22 5 11 5 22 5 11 0 22 1 0 1 11 5 11 1 0 22 1 22 5 11 5 1 0 22 11 0 1 22 0 5 1 0 11 0 1 5 22 11 5 0 11 22 0 22 1 11 5 0 22 1 11 22 1 22 5 11 1 22 1 5 0 11 22 11 0 11 22 1 5 0 5 1 11 0 11 1 22 1 5 22 0 1 5 1 0 1 5 11 22 0 22 5 0 5 11 0 22 0 1 0 11 0 1 5 11 0 5 22 1 22 11 0 11 1 0 11 22 1 22 0 5 11 0 22 11 1 0 11 5 1 0 5 0 11 0 22 1 22 11 1 11 0 5 1 22 1 0 11 5 1 0 5 22 1 22 0 1 22 11 1 0 22 1 11 5 11 22 5 22 0 11 22 1 0 22 5 1 22 1 0 11 1 5 0 11 22 0 22 5 1 0 1 22 11 0 22 1 0 5 22 0 11 5 22 0 22 5 1 5 0 5 11 0 22 11 22 1 22 11 22 5 0 22 1 0 5 22 0 22 1 22 0 22 11 0 22 0 1 5 0 1 11 0 22 11 0 5 22 5 0 5 22 1 0 11 0 22 1 22 11 1 22 5 22 0 22 1 11 1 0 1 5 11 1 5 22 0 11 1 0 11 5 1 5 0 5 11 0 1 11 0 22 11 22 1 11 1 0 11 22 11 0 1 0 5 11 1 22 0 5 22 11 5 1 22 5 1 5 0 22 5 11 5 0 1 5 22 0 11 22 5 22 11 22 1 22 5 22 11 22 0 11 5 11 22 1 11 1 0 22 0 1 5 11 22 5 11 5 0 1 5 1 22 5 0 1 11 5 0 5 22 1 11 0 1 0 22 1 11 0 1 22 1 5 11 22 0 11 22 5 22 0 5 22 1 11 22 0 22 11 22 1 11 1 0 22 11 1 0 11 5 11 22 1 5 11 22 5 11 5 0 22 11 22 5 22 11 1 0 1 11 22 11 5 1 22 0 22 11 5 0 22 0 11 0 1 22 0 1 11 1 22 5 22 1 11 22 5 0 22 0 1 11 0 22 0 1 5 0 22 5 22 11 1 5 0 5 22 5 1 0 22 0 5 22 0 22 11 1 5 1 11 1 0 22 0 5 22 0 1 5 1 11 1 5 22 0 5 0 1 0 11 0 22 1 0 5 22 1 0 22 11 22 5 22 1 11 1 22 1 5 0 22 0 1 11 22 0 22 1 5 1 22 1 11 22 11 5 22 0 22 11 0 22 0 5 11 1 0 1 22 11 0 22 5 22 0 22 11 1 0 11 22 0 5 0 1 0 22 1 5 11 1 11 0 22 11 1 5 22 0 22 1 5 22 5 11 1 22 5 0 11 22 0 5 22 0 11 22 11 1 22 11 22 5 1 5 11 22 11 1 22 0 22 11 22 0 22 5 22 1 0 11 0 22 11 22 1 22 0 22 1 22 11 1 0 22 1 11 22 5 11 0 11 5 22 11 1 11 0 22 5 1 5 0 1 11 5 0 22 1 0 1 11 0 1 22 11 5 1 11 1 22 0 22 11 5 11 1 22 0 5 0 22 11 5 22 0 22 11 1 11 22 0 11 22 11 5 0 22 1 22 11 1 11 0 11 22 1 0 1 22 5 1 22 1 11 5 0 1 0 11 1 11 5 11 0 11 22 5 0 11 5 1 22 11 1 5 1 22 11 22 1 5 22 5 11 22 11 1 0 22 0 11 0 1 0 5 11 1 0 22 11 5 11 1 5 11 5 22 11 1 11 22 5 22 1 5 0 5 22 1 5 1 0 1 22 1 11 0 5 1 22 5 0 1 0 5 0 11 5 0 5 1 5 11 5 22 1 11 5 0 1 11 5 22 1 22 11 22 1 22 0 22 11 5 1 22 1 11 22 1 0 11 5 0 11 0 1 5 22 11 1 11 22 11 5 22 1 22 5 11 5 22 5 1 5 0 22 1 0 11 0 5 1 22 11 22 1 22 11 0 5 11 1 5 11 0 22 1 22 5 0 1 5 0 11 1 22 5 0 1 5 0 5 11 5 22 0 11 5 22 11 1 22 1 0 11 22 0 22 5 22 11 0 11 5 22 5 0 1 5 11 5 22 0 22 5 22 1 22 11 1 5 1 22 0 1 11 0 5 1 0 11 22 1 5 22 0 22 5 22 0 11 22 1 0 11 22 0 22 1 22 0 11 1 5 1 22 1 0 22 1 22 5 22 0 5 0 11 22 5 0 22 5 1 22 1 0 1 22 11 22 5 22 11 0 22 5 0 22 1 11 22 5 11 22 1 11 1 5 11 5 0 22 5 1 22 1 0 22 0 11 22 1 11 22 11 0 1 22 0 22 5 0 11 0 5 0 22 5 22 11 22 0 11 0 5 1 11 22 0 11 22 1 22 5 11 1 11 22 0 11 1 11 5 1 0 11 0 1 22 0 11 0 5 11 5 1 0 22 5 1 11 0 11 22 5 22 0 11 1 22 0 5 1 0 11 5 0 5 1 5 0 5 11 5 1 11 1 0 5 11 1 22 1 0 22 1 5 0 5 11 1 5 11 22 0 22 1 22 11 0 5 1 11 1 5 1 11 0 22 0 1 0 5 22 1 0 5 11 5 22 11 22 1 22 5 22 0 11 0 5 1 22 1 5 1 0 1 5 11 0 11 1 11 0 22 0 5 1 5 0 22 0 5 0 11 5 0 22 11 22 0 22 5 11 5 1 22 11 22 1 22 0 22 5 0 22 0 1 11 5 0 5 1 5 11 5 22 0 1 22 0 22 5 0 5 11 22 5 0 22 5 1 0 22 5 22 11 1 0 22 0 5 0 22 0 1 11 0 1 0 22 5 1 11 1 0 1 11 1 22 1 11 5 11 0 11 5 22 0 11 22 0 22 5 1 11 1 5 1 0 5 22 11 5 0 5 22 0 22 11 22 0 22 5 0 22 1 22 5 1 22 1 0 22 5 0 22 0 1 11 22 1 22 5 22 11 22 5 22 0 22 1 0 1 11 22 5 22 0 22 5 11 1 5 0 5 22 11 0 1 22 0 11 22 0 5 11 1 0 1 22 1 5 0 22 0 1 22 1 5 1 11 22 1 22 5 1 22 0 5 1 0 1 22 0 11 22 5 22 1 5 1 11 5 22 5 1 0 5 0 11 1 0 1 5 0 1 0 22 11 22 0 22 1 5 1 11 22 1 5 1 0 1 22 5 22 11 1 0 5 11 1 5 22 1 0 1 11 5 22 0 22 11 22 0 22 1 11 22 0 22 11 22 5 11 5 0 22 1 0 22 0 11 5 11 22 5 22 0 5 11 0 22 0 11 0 1 22 0 1 5 11 1 11 22 1 11 0 22 1 5 0 11 5 0 5 1 22 11 22 1 0 5 1 0 1 11 1 5 1 0 22 0 11 5 0 11 0 1 0 5 11 5 0 1 5 0 5 22 11 5 1 5 22 0 1 5 1 0 11 0 5 22 5 1 0 5 22 0 22 1 11 5 22 11 22 0 11 5 22 5 0 5 11 5 0 5 1 22 11 1 11 0 11 5 1 11 5 0 5 22 11 5 0 22 1 11 0 22 1 0 1 11 0 1 5 0 11 1 11 5 22 1 0 1 22 11 5 1 5 0 5 11 22 0 11 1 0 1 5 22 5 0 5 11 0 11 22 0 5 22 5 11 22 0 1 11 22 1 5 1 0 1 22 5 22 1 0 22 0 5 0 22 11 22 0 5 22 0 22 1 22 0 5 22 5 11 5 1 11 0 1 11 22 5 1 5 22 5 0 11 1 22 11 22 5 22 1 22 0 1 0 11 22 11 1 11 0 22 5 0 5 11 1 5 1 22 0 1 22 5 1 22 1 0 5 0 1 11 0 22 5 11 5 0 11 1 0 1 22 5 1 0 1 5 11 5 0 5 1 22 0 1 0 5 1 5 22 5 0 22 11 1 11 0 22 5 11 0 11 5 1 0 5 11 5 1 0 22 5 1 22 5 22 11 22 1 22 11 22 0 1 5 1 11 0 22 1 5 0 22 5 0 5 11 0 1 5 22 1 11 1 22 0 11 1 0 11 0 22 5 1 11 22 11 5 0 5 11 22 5 0 22 1 0 5 0 1 11 0 22 0 11 1 11 22 1 22 5 22 0 11 22 0 1 11 5 1 5 0 5 22 0 11 0 1 0 22 5 22 11 22 5 22 0 22 5 22 1 22 5 11 5 0 5 11 5 1 0 1 22 11 0 11 1 5 0 22 5 22 1 22 11 1 0 1 22 1 11 5 1 22 0 22 5 1 22 11 22 5 1 0 11 5 0 11 22 5 22 0 22 1 22 5 22 11 5 0 11 22 1 5 22 0 22 11 1 22 11 0 22 11 1 22 0 1 22 11 5 11 1 0 22 1 11 0 11 22 0 22 5 0 11 1 11 5 22 0 11 1 0 5 11 1 0 1 22 1 11 5 11 22 5 11 1 0 1 5 0 22 5 22 1 11 5 22 1 22 0 5 22 0 22 11 22 0 22 1 22 5 22 1 22 11 0 5 1 22 0 1 0 11 0 1 22 5 0 1 22 1 11 22 5 1 5 11 5 0 1 11 1 0 1 22 1 11 22 0 22 5 1 11 22 11 1 11 0 22 11 5 11 1 5 22 11 1 0 5 0 22 0 5 1 5 22 11 5 0 1 11 1 0 1 5 0 11 1 22 1 0 1 22 1 5 22 5 0 22 11 5 0 1 22 11 22 1 0 1 22 11 5 11 1 0 22 1 11 0 1 0 22 0 5 1 5 22 1 11 1 22 0 11 1 22 5 11 0 11 22 5 1 5 0 22 11 22 5 0 5 1 0 1 22 1 11 22 0 22 1 5 22 5 11 0 11 5 11 22 5 22 0 5 1 5 0 22 5 22 11 22 1 5 22 5 11 22 0 1 0 22 11 22 1 11 22 0 11 22 5 1 0 1 11 1 22 5 0 5 22 11 1 22 11 22 0 11 1 11 5 0 5 22 5 11 22 0 22 5 22 1 5 0 22 1 0 1 5 0 1 0 11 1 0 22 5 1 5 22 11 22 1 0 22 0 5 22 11 22 0 5 22 5 11 1 22 1 0 1 11 1 22 1 0 22 5 11 0 1 11 0 22 11 1 22 1 0 22 1 22 5 11 22 11 1 22 11 22 0 22 5 0 22 11 0 11 1 11 0 5 22 11 0 22 11 1 22 5 22 11 1 11 5 1 11 0 1 22 11 22 0 22 1 11 1 22 5 0 11 22 11 5 22 11 22 0 22 11 1 22 5 1 5 0 22 5 11 22 11 0 1 0 5 22 5 11 5 22 0 5 1 22 1 5 11 1 5 0 1 0 11 1 22 1 11 5 22 1 11 0 11 1 22 11 22 5 22 1 0 22 0 5 0 22 0 1 0 11 1 22 11 22 5 11 1 0 5 22 5 0 5 22 1 22 5 11 1 22 5 0 1 0 11 5 0 5 22 5 0 11 5 0 5 1 11 22 0 1 0 5 0 11 0 1 22 11 22 5 1 11 5 22 11 22 1 0 22 1 5 1 22 1 0 11 1 0 1 22 0 5 22 5 1 22 0 5 11 22 11 0 22 11 22 5 0 11 5 1 22 11 5 22 0 22 5 11 5 1 5 22 1 0 1 22 1 5 1 22 1 11 0 22 11 1 11 5 0 1 5 0 22 11 5 0 5 22 0 5 11 22 0 22

← previous record (2204)

Alphabet {0, 1, 5, 11, 22}

size 5 · diameter 22 · record length 2743 · JSON

open No exhaustive search has settled this alphabet; the record is a lower bound on the (possibly infinite) maximum.

Know the exact maximum? Log in to claim this alphabet closed.

Record history

• 2743 (was 2204) — Aayush Rajasekaran, 2026-08-26
• 2204 (was 1997) — Aayush Rajasekaran, 2026-08-20
• 1997 (first) — David Renshaw, 2026-08-18

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