News and Updates on X
SudokuWiki.org
Strategies for Popular Number Puzzles

Escargot

In late November 2006, a Finnish applied mathematician, Arto Inkala, claimed to have created the world's hardest Sudoku.

"I called the puzzle AI Escargot, because it looks like a snail. Solving it is like an intellectual culinary pleasure. AI are my initials," he said.

"Escargot demands those tackling it to consider eight casual relationships simultaneously, while the most complicated variants attempted by the public require people to think of only one or two combinations at any one time", Inkala said.

This puzzle is available in the drop down list of examples in the Sudoku Solver. The solver cannot currently solve it, however, using the logical strategies at it's desposal. The brute force "Solution Count" can find the solution but such a method is less interesting than a logical solve route.

Escargot recieved a good deal of publicity in newspapers around the world.

Load Escargot

Go back to Cage SplittingContinue to Arto Inkala


Comments

Your Name/Handle

Email Address - required for confirmation (it will not be displayed here)

Your Comment

Please enter the
letters you see:
arrow
Enter these letters Remember me


Please ensure your comment is relevant to this article.
Email addresses are never displayed, but they are required to confirm your comments. When you enter your name and email address, you'll be sent a link to confirm your comment. Line breaks and paragraphs are automatically converted - no need to use <p> or <br> tags.
CommentsTalk

... by: Sagan

Tuesday 14-Jan-2025
Over the last 6 years or so I must have left a dozen comments and sent a few emails.
I never got a reply. I never saw my feedback on the site. I have no idea what the problem is.

So I'm going to also post my latest observation to this page. As of Jan. 14, 2025 the Arlo Inkala Escargot puzzle is still wrong after all this time.

It has been incorrectly showing as this:
100007090030020008009600500005300900010080002600004000300000010041000007007000300

That is an extra given digit (1) in box 7 (H3, IIRC) that should not be given. This means your calculations are also affected.

The correct Escargot is.
100007090030020008009600500005300900010080002600004000300000010040000007007000300

Escargot is degenerate. Go Vegan. :-)
Andrew Stuart writes:
Seems like I got the puzzle definition from a forum post in 2012 on the most popular Sudoku forum at the time. This included the extra 1 in H3. I don't think it seriously affects the grade or solution path since 1 in H3 solves trivially with a hidden single. But I appreciate the correction and yes embarrassing to have had the extra digit so many years. Refresh the Sudoku.htm and the corrected Escargot will load.
Add to this Thread

... by: Dr, Chris

Saturday 29-Oct-2022
It is possible to solve this puzzle using only pencil and paper through logical analysis and a process of elimination. The top three blocks contain nine numbers, almost the numbers 1-9, but not quite: One number occurs twice, the 9 in A8 and C3. That means that either B4 or B6 must also be a 9, and because of the way the other numbers are arranged in these three blocks, the other of those two cells must be a 1, 4, or 5. In trying out those possibilities, it is not necessary to decide initially whether the 9 goes in B4 or B6 (although pairing the 9 with the 4 requires the 9 to be in B6); knowing the two numbers occupy those two squares is enough to place the rest of the numbers in row B in unique or almost unique locations. This is because A1=1; F1=6; D3=5 and I3=7; and C7=5. While it makes sense to try B4+B6=4,9 first because that places all of the numbers in row B, unfortunately that leads to a falsity. But B4+B6=1,9 leads to a solution, after a bit of experimentation to see where the 6 and 7 fit in B7 and B8.
REPLY TO THIS POST

... by: S3ven_Six

Tuesday 16-Nov-2021
This is definitively either not the real Escargot, or I found a much harder one.
I was able to spot a hidden 2468 quadruple in column 7, forcing a 17 pair that straight up solved the board. There are several other spots that if u just find 1 single digit, the entire board solves itself.

This is a more difficult puzzle that didn't take me 10 minutes to solve, but 2 hours of multicoloring, and contradiction testing, etc. -- with 2 times of straight up bifurcation.
https://f-puzzles.com/?id=yhtyjrzr
Andrew Stuart writes:
I'm afraid you solved a turkey. This puzzle has 206 solutions so no wonder it seems diffocult.. Load it here
Add to this Thread

... by: JPF Naperville, IL

Friday 1-Aug-2014
The Escargot puzzle at aisudoku.com does not have a 1 at H3. Your solver added that via finned swordfish? Please clarify.
Andrew Stuart writes:
Weird. I've removed the one. It is a simple single.
Add to this Thread

... by: Leren

Saturday 2-Jun-2012
Escargot is harder than Andrew's Weekly unsolvables (except for no 49) but only requires first order forcing chain logic to solve, so it's not in the hardest class of puzzle. The 2010 puzzle by the same creator was similar but slightly easier.
REPLY TO THIS POST

... by: lihsiaotung

Tuesday 22-Sep-2009
"Escargot demands those tackling it to consider eight casual relationships simultaneously, while the most complicated variants attempted by the public require people to think of only one or two combinations at any one time", Inkala said

but I solved Escargot through considering seven casual relationships simultaneously with my solver. Maybe Escargot was not the most difficult Sudoku puzzle,I think.
REPLY TO THIS POST
Article created on 27-May-2008. Views: 82571
This page was last modified on 12-June-2008.
All text is copyright and for personal use only but may be reproduced with the permission of the author.
Copyright Andrew Stuart @ Syndicated Puzzles, Privacy, 2007-2025