#665, September 27 - October 3, 2025: The Weekly 'Unsolvable' Sudoku Puzzle
by Richard Kröger, guest compiler
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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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Discussion...
Post an idea here...
... 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.
... 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%
... 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
... by: Yves
A8=8 & E5=7 Solve
... 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
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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
... 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.
... 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