Superpermutation Almanac

n = 12

W-0035

A superpermutation on 12 symbols, found by Jay Pantone jaypantone. It beat the previous record, W-0032, by 2,894 letters, and was the record for n = 12 from Oct 1 until Oct 4, 2026, when W-0046 was 43 letters shorter.

Length
522,745,581
Repeated occurrences
169,344
Announced
Oct 1, 2026
Begins 0123456789AB0123456789A0B123456789A01B23456789A012B3456789A0123B456789A01234B56789A012345B6789A0123456B789A01234567B89A0…

Windows

522,745,570windows of 12 consecutive letters
=479,001,600distinct permutations, all 12! of them
+169,344repeated occurrences of a permutation
+43,574,626windows that are not permutations

How it was found

Local improvement by AI agents of Pantone's word.

Checking

Total check time: 10 s, including preparation but not time in the queue.

ProgramSourceResultTime
classcheck41928cceall 479,001,600 permutations appear, by rotation class4 s
bitmapcheck288b3f67agrees, by Lehmer rank3 s
wordhash94925fe4the SHA-256 of the word and of its mirror3 s
SHA-2569047aac74cde78cc07bc58b7b625359eecc90258912e0efee48013da9c31a946 Compilerrustc 1.89.0 (29483883e 2025-08-04)

Download

Download Detour (.detour) 37.5 kB, or 522.7 MB decoded

Decode to text

# check it yourself
detour decode W-0035.detour - | tr -d '\n' | shasum -a 256
tar xzf checkers-rs-source.tar.gz && cd checkers-rs && cargo build --release --locked
./target/release/classcheck 12 ../W-0035.detour 522745581
./target/release/bitmapcheck 12 ../W-0035.detour 522745581
./target/release/wordhash 12 ../W-0035.detour 522745581

Decoding needs detour; see the Detour format for how to build and install it. The checkers are in checkers-rs-source.tar.gz, which needs Rust 1.89 or later; each one decodes the file itself, so the word is never written out.

The file's header gives n = 12 and sync exponent 0. The file has 4,902,807 tokens: 1 START, 1 literal of 1 byte in all, and 4,902,805 deviations. Deviations by weight, from 1 to 12: 169,344 · 1,354,752 · 3,378,384 · 10 · 48 · 124 · 56 · 24 · 41 · 13 · 8 · 1.