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## Discussion...

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## ... by: Frans Goosens

Thanks to James Havard
G4=9

With trial and error

Combination A9=138 and F3=147

************************************************************
A9=1 F3=1 No solution, Fixed

Combination 2-digits cells

C3=8 ( F1=2 ) Solved,

#387--------------------------Solution
002 000 000-------------972 346 851
400 510 000-------------436 518 972
050 700 064-------------158 792 364

500 000 000-------------549 871 623
003 000 400-------------763 259 418
080 600 095-------------281 634 795

800 900 000-------------817 923 546
090 005 007-------------694 185 237
005 067 089-------------325 467 189

Total solving time is : 14 sec.
Number of logical steps is : 299

## ... by: James Havard

@Frans Goosens, G4=9 is missing.

## ... by: James Havard

In the bottom left 3*3, there are 4 pairs that give a singles solution-
14, 16, 12, and 64

## ... by: numpl_npm

(u)H13 where (u in 1234) -> (u)J4
| 1H13 -> 1F1367=[F13-C7-J4|F6-J4|F7-J4]=J4
| 2H1 -> 2F567=[F56-J4|F7-J4]=J4
| 3H1 -> 3[C7|F7|C56&F56]=[C7-J4|F7-J4|C56&F56-J4]=J4
| 4H3 -> 4G8-J4

(6u)H13 (56u)G789   where (u in 1234)

(u)J7 -> (8u)H45 (7u)G23

(u)J1 -> -(u)H7
| 1J1 -> 1F367=[F3-C7|F6-H4|F7] -1H7
| 2J1 -> 2F567=[F56-H4|F7] -2H7
| 3H1 -> 3[C7|F7|C56&F56]=[C7|F7|C56&F56-H4] -3H7

(u)J1 -> -(u)H7 -(u)H45(∵ -(u)J7) (u)H8

-4H45(∵ -4J7) -4H8(∵ -4J1) 4H3

Then basics to the end.

972 346 851
436 518 972
158 792 364

549 871 623
763 259 418
281 634 795

817 923 546
694 185 237
325 467 189

## ... by: James Havard

Used the H1=6 and H3=4 separately in my solver and found that the G2=1 can be paired with either the 4 or 6 for a singles solution.

## ... by: Frans Goosens

With trial and error

Combination A9=138 and F3=147

************************************************************
A9=1 F3=1 No solution, Fixed

Combination 2-digits cells

C3=8 No solution, Undo calculation
C3=9 No solution, Undo calculation
F1=2 No solution, Undo calculation
F1=7 No solution, Undo calculation
H3=4 No solution, Undo calculation
H3=6 No solution, Undo calculation
I1=2 No solution, Undo calculation
I1=3 No solution, Undo calculation

All reset to initial position

************************************************************
A9=1 F3=4 No solution, Fixed

Combination 2-digits cells

H3=1 No solution, Undo calculation
H3=6 No solution, Undo calculation

All reset to initial position

************************************************************
A9=1 F3=7 No solution, Fixed

Combination 2-digits cells

A2=3 No solution, Undo calculation
A2=6 ( A4=8 ) Solved,

#387--------------------------Solution
002 000 000-------------762 894 531
400 510 000-------------439 516 728
050 700 064-------------158 732 964

500 000 000-------------546 973 812
003 000 400-------------913 258 476
080 600 095-------------287 641 395

800 000 000-------------874 129 653
090 005 007-------------691 385 247
005 067 089-------------325 467 189

Total solving time is : 101 sec.
Number of logical steps is : 8627

## ... by: James Havard

531 subs and 521 seconds found 3 subs needed for a basic solve D2=4 D6=1 D9=3.
3*3 block manual search, found H1=6 with H3=4 that gives a singles solution.

## ... by: SuDokuFan

GE2(1234)G56, H8, J2, stte.

## ... by: yzfwsf

Column 9 as an extra cross line

## ... by: BobW

GExocet: 1234 G56, J2 H8; Eliminations: -4G5 -4G6 -4J2 -4H8 -6H7
Then singles to solution.

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