W-0033

A superpermutation on 10 symbols, found by Jay Pantone jaypantone. It beat the previous record, W-0024, by 5 letters, and was the record for n = 10 from Oct 1 until Oct 2, 2026, when W-0040 was 16 letters shorter.

Length: 4,034,889
Repeated occurrences: 2,352
Announced: Oct 1, 2026

Begins

012345678901234567809123456780192345678012934567801239456780123495678012345967801234569780123456798012345670891234567081…

Windows

	4,034,880	windows of 10 consecutive letters
=	3,628,800	distinct permutations, all 10! of them
+	2,352	repeated occurrences of a permutation
+	403,728	windows that are not permutations

How it was found

Local improvement by AI agents of the September 29 word: better cuts and order, and connector cycles replaced by one open connector path through 28 closed trails.

Checking

Total check time: 1 s, including preparation but not time in the queue.

Program	Source	Result	Time
classcheck	41928cce	all 3,628,800 permutations appear, by rotation class	under 1 s
bitmapcheck	288b3f67	agrees, by Lehmer rank	under 1 s
wordhash	94925fe4	the SHA-256 of the word and of its mirror	under 1 s

SHA-256766ebcf2451b9d1418a9354ac03bb054b5a2e9e6faf3e1b6d39429be9fdff94b Compilerrustc 1.89.0 (29483883e 2025-08-04)

Download

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

Decode to text

# check it yourself
detour decode W-0033.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-0033.detour 4034889
./target/release/bitmapcheck 10 ../W-0033.detour 4034889
./target/release/wordhash 10 ../W-0033.detour 4034889

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 53,981 tokens: 1 START, 1 literal of 1 byte in all, and 53,979 deviations. Deviations by weight, from 1 to 10: 2,352 · 14,112 · 37,449 · 12 · 1 · 4 · 41 · 8 · 0 · 0.