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#665, September 27 - October 3, 2025:
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).

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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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Thursday 2-Oct-2025

... by: BGH

I was able to verify Dieter & Yves solutions for #665
BUT I did not see any "method" so "trial & error?"

In my solutions there's one 2 choices per step. One leads to contradictions, the other leads to the solution.

Thursday 2-Oct-2025

... by: BGH

3 Step Solution for #665
3 @ D8 Row Unit Pair 35.8%
1 @ C4 Cell Pair & Block Unit Pair 56.8%
6 @ F5 Cell Pair & Block Unit Pair 100%

Tuesday 30-Sep-2025

... by: Serban

# 665 Basics to 23
1. Number 8 n=3 e=6 N=20 Nc=14 Ns=13 => A8=8 basics to 50
1a.X chain x=1 => [E2,H28]<>1; x=4 =>[E29,J3]<>4 => E2=5 OR D3=4 solve
1b. any[A2,E1,F8,H7,J3]=1 solve
1c. any[D6,E8,H5,J2]=2 solve
1d. any[D8,F2,G1]=3 solve
1e. any[D3,E7,H4,J9]=4 solve
1f. any[E2,D7,F6,J3]=5 solve
1g. any[E9,J8]=6 solve
1h. any[E5,F3,H1,J6]=7 solve
1i. any[A3,D1,G2]=9 solve

Tuesday 30-Sep-2025

... by: Yves

A8=8 & E5=7 Solve

Monday 29-Sep-2025

... by: Frans Goosens

#665

With trial and error

Combination A6=167 and D7=245

************************************************************
A6=1 D7=2 Wrong, Undo calculation

All reset to initial position

************************************************************
A6=1 D7=4 Wrong, Undo calculation

All reset to initial position

************************************************************
A6=1 D7=5 Wrong, Undo calculation

All reset to initial position

************************************************************
A6=6 D7=2 Wrong, Undo calculation

All reset to initial position

************************************************************
A6=6 D7=4 Wrong, Undo calculation

All reset to initial position

************************************************************
A6=6 D7=5 ( I9= ) Solved,

Total solving time is : 59 sec.
Number of logical steps is : 10282

Saturday 27-Sep-2025

... by: Dieter

#665 - initially populated cells: 24 = 29,6%
No solver used.
basics: %
Strategy: Numbers 2,3,6,8,9 occur most frequently, combine two cells.
combinations of A5 = (3,6,7,8) and E5 = (2,6,7)
A5=3 & E5=7 solve.

Saturday 27-Sep-2025

... by: Serban

# 665 Basics to 23

1. Number 3 n=3 e=6 N=19 Nc=12 Ns=10 => G1=C9=3 OR G1=A5=3 basics to 50
1a. X chain x=9 => H2<>9; => H2=4 solve

2. Number 6 n=3 e=6 N=19 Nc=16 Ns=6 =>
2a. E9= F5=6 solve
2b. E9= H3=6 solve

3. Number 9 n=3 e=6 N=21 Nc=16 Ns=8 => A3=E4=9 OR A3=D1=9 solve
Note : H9=9
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