Superpermutation Almanac

n = 10

W-0024

A superpermutation on 10 symbols, found by Jay Pantone jaypantone. It beat the previous record, W-0016, by 2,152 letters, and was the record for n = 10 from Sep 29 until Oct 1, 2026, when W-0033 was 5 letters shorter.

Length
4,034,894
Repeated occurrences
2,351
Announced
Sep 29, 2026
Begins 012345678901234567809123456780192345678012934567801239456780123495678012345967801234569780123456798012345670891234567081…

Windows

4,034,885windows of 10 consecutive letters
=3,628,800distinct permutations, all 10! of them
+2,351repeated occurrences of a permutation
+403,734windows that are not permutations

How it was found

The 43/80 construction followed by a computer search for local improvements.

Checking

ProgramSourceResultTime
permcheckc46d3654all 3,628,800 permutations appearunder 1 s
literal_checkf4687121agrees on coverageunder 1 s
SHA-256dbe73ada10230237fccace9a8578eaaacfd285010d0e01892ccdaedf3b209487 Compilerg++ (Debian 14.2.0-19) 14.2.0

Download

Download Detour (.detour) 1.8 kB, or 4.0 MB decoded

Decode to text

# check it yourself
detour decode W-0024.detour - | tr -d '\n' | shasum -a 256
tar xzf checkers-rs-source.tar.gz && cd checkers-rs && cargo build --release --locked
./target/release/classcheck 10 ../W-0024.detour 4034894
./target/release/bitmapcheck 10 ../W-0024.detour 4034894
./target/release/wordhash 10 ../W-0024.detour 4034894

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 = 10 and sync exponent 0. The file has 53,944 tokens: 1 START, 1 literal of 1 byte in all, and 53,942 deviations. Deviations by weight, from 1 to 10: 2,351 · 14,106 · 37,412 · 17 · 1 · 7 · 41 · 7 · 0 · 0.