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#718, October 3 - October 9, 2026:
The Weekly 'Unsolvable' Sudoku Puzzle

by Richard Kröger, guest compiler

WARNING: This is the Weekly 'Unsolvable' Sudoku, rated above 'Extreme'.
This is currently unsolvable by my solver, except perhaps with trial and error strategies.
Using the solver will not help you. (much).

Changes March 2026

Due to the introduction of Forcing Nets many Weekly Unsolvable puzzles can now be solved. I have flagged all the Sudoku ones which are solvable. I am struggling to make any new ones so we'll have to see if the Weekly can continue. The point of the Weekly was to provoke discussion and new ideas, so that is progress. But my solution is unlikely to be optimal so alternatives are welcome.

Archive

Each week a new 'unsolvable' will be published and the previous will be accessible here from this archive section. If you like very tough puzzles, these are for you.
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Saturday 3-Oct-2026

... by: Yves

There are 879 two cells trivial solutions in this #718

one is J8=9 & F9=6

Saturday 3-Oct-2026

... by: Dieter

#718 - initially populated cells: 21 = 25,9 %
No solver used, solver = brain.
basics: %

Strategy: numbers 1,3,5,7 occur most frequently, combine two cells with almost same candidates.
combinations of D8 = (1,3,5,6) and D9 = (3,5,6,7,8);
after basic checks 4 matrices left: 3/5, 3/7, 5/7 and 6/5.
D8=5 & D9=7 solve with J1=5.

Optimization:
D8=5 & J1=5 or D9=7 & J1=5 solve.

Saturday 3-Oct-2026

... by: Serban

# 718 Basics to 21

1. G4 = A6 = 5 solve

2. E7=9 & F7=8 solve

3. F6=9 & F7=8 solve

Saturday 3-Oct-2026

... by: Norman Powell

This puzzle is solved on the fourth pass of Forcing Networks, which finds the solution when checking to a possibility..
AS's Solver Opens in the same way and finds 6 eliminations through Forcing Networks before running out of strategies, indicated [AS# order of discovery below]. My implementation reports eliminations as they are found. AS reports in order of increasing length of post-hoc inference chain that would reveal elimination.
Here are the details:
Hidden Pair: Column 9 for Values 5, 7 in Cells B9 & D9, removing other possibilities from those cells. [As AS]
Confined to Box: Value 3 is confined to Column 8 and Box 6, removing other 6s from Column 8.
Forcing Network First Pass: Eliminate the follow since they produce contradictions when ON:
2D1[AS#3], 1D8, 8E5[AS#5], 1F1, 6F6, 8F6 [AS#1], 9F7[AS#6], 4G2[AS#4], 8J4[AS#2].
Forcing Networks Second Pass: Eliminate the follow since they produce contradictions when ON:
2C1, 6D1, 6D3, 6D8, 2J1, 4J9.
Confined to Box: Value 6 in Row 4 and Box 5.
Forcing Networks Third Pass: Eliminate the follow since they produce contradictions when ON:
8A6, 6C1, 4C4, 2D3, 7D4, 8D4, 8D6, 9E8, 2F2, 2F6, 2G2
Hidden Single: in Row F, F1=2.
Confined to Box: Value 8 is confined to Column 6 and Box 8.
3D Medusa: Rule 5 1C5 can see both colours, eliminate.
Forcing Networks Fourth Pass: Eliminate the follow since they produce contradictions when ON:
7A1, 9A3
However the solution is found when testing 88A4 for being ON.
Solver VBA in Excel [inspired by AS's Solver and Sudoku Wiki], with lots of graphical cues, so very slow:
2:57 [min:ss]
Forcing Networks gradually moving up the methods for efficiency, eclipsing X-Cycles, AIC, Grouped X-Cycles and Grouped AIC. Almost Locked Sets after Forcing Networks and is still triggered by some examples that get past Forcing Networks.
Page created on 03-May-2011, last modified on 30-May-2024.
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