Jean-Christophe wrote:
I've just released a new version 1.3b1
Wow, it can do the
Assassin 50 V2!
Ruud wrote:
There is a V2 for Assassin 50, which could be one of the toughest killers I made so far.
However, before you all get too excited, here are the stats and the HUGE solver log (including a finned jellyfish found near the start!) in TT. It's clearly way off the scale of anything that can be reasonably posted on any forum without ending up on the "Unsolvables" list.
JSudoku wrote:
Techniques used:
69 Naked Singles
12 Hidden Singles
4 Unique Pairs
2 Naked Pairs
1 Hidden Pairs
6 Intersections
13 Odd Pairs
12 Odd Triplets
8 Double Innies & Outies
18 Mandatory Inclusions
1 Odd Quads
8 Double Outies minus Innies
1 Complex Naked Pairs
4 Complex Hidden Pairs
47 Conflicting Pairs
12 Quadruple Innies & Outies
4 Triple Outies minus Innies
2 Odd Combinations
1 Pointing Triplets
3 Locked Cages
29 Conflicting Triplets
1 Finned Jellyfish
219 Conflicting Partial Pairs
24 Multiple Innies & Outies
14 Multiple Outies minus Innies
16 Complex XY-Chains up to 3 links
16 Cages Grouping
And now for the solver log, in all its glory...:
JSudoku wrote:
Cage 16/2 in R1C34 = {79} (Naked Pair in R1)
Cage 10/2 in R1C67 -> R1C7 = {2468}, R1C6 = {2468}
Innies of N1 -> R1C3+R3C1 = 15
Split cage 15/2 in R1C3+R3C1 -> R3C1 = {68}
Cage 11/2 in R34C1 -> R4C1 = {35}
Outies of N1 -> R1C4+R4C1 = 12
Innies of N7 -> R7C1+R9C3 = 15
Split cage 15/2 in R7C1+R9C3 -> R9C3 = {789}, R7C1 = {678}
Cage 10/2 in R67C1 -> R6C1 = {234}
Cage 12/2 in R9C34 -> R9C4 = {345}
Outies of N7 -> R6C1+R9C4 = 7
Innies of N3 -> R1C7+R3C9 = 10
Split cage 10/2 in R1C7+R3C9 -> R3C9 = {2468}
Cage 9/2 in R34C9 -> R4C9 = {1357}
Innies of N9 -> R7C9+R9C7 = 5
Split cage 5/2 in R7C9+R9C7 -> R7C9 = {1234}
Cage 9/2 in R67C9 -> R6C9 = {5678}
Outies of N3 -> R1C6+R4C9 = 9
Outies of N9 -> R6C9+R9C6 = 9
R1C4 must have at least 1 of {79} -> Cage 22/4 in R12C5+R2C46 may have at most 1 of {79}
R3C1 must have at least 1 of {68} -> Cage 18/4 in R23C23 may have at most 1 of {68}
R4C1 must have at least 1 of {35} -> Cage 23/4 in R456C2+R5C1 may have at most 1 of {35}
Split cage 15/2 in R1C3+R3C1 must have at least 1 of {67} -> Cage 18/4 in R23C23 may have at most 1 of {67}
Split cage 15/2 in R7C1+R9C3 must have at least 1 of {67} -> Cage 16/3 in R89C1+R9C2 may have at most 1 of {67}
Split cage 15/2 in R7C1+R9C3 must have at least 1 of {68} -> Cage 16/3 in R89C1+R9C2 may have at most 1 of {68}
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {24} -> Cage 13/3 in R1C89+R2C9 may have at most 1 of {24}
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {24} -> Cage 22/4 in R23C78 may have at most 1 of {24}
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {26} -> Cage 13/3 in R1C89+R2C9 may have at most 1 of {26}
Cage 13/3 in R1C89+R2C9 -> R2C9 = {12346789}
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {26} -> Cage 22/4 in R23C78 may have at most 1 of {26}
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {48} -> Cage 13/3 in R1C89+R2C9 may have at most 1 of {48}
Cage 13/3 in R1C89+R2C9 -> R2C9 = {2346789}
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {48} -> Cage 22/4 in R23C78 may have at most 1 of {48}
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {68} -> Cage 22/4 in R23C78 may have at most 1 of {68}
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {34} -> Cage 16/3 in R89C9+R9C8 may have at most 1 of {34}
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {34} -> Cage 24/4 in R78C78 may have at most 1 of {34}
Outies of C12 -> R2378C3 = 14
Split cage 14/4 in R2378C3 -> R3C3 = {12345678}, R2C3 = {12345678}
Innies of C34 -> R258C4+R5C3 = 26
Complex cage 26/4 in R258C4+R5C3 -> R5C3 = {23456789}
Outies of R12 -> R3C2378 = 23
R3C1 must have at least 1 of {68} -> Split cage 23/4 in R3C2378 may have at most 1 of {68}
Innies of R12 -> R2C2378 = 17
Innies of R89 -> R8C2378 = 19
Outies of R89 -> R7C2378 = 19
Innies of C89 -> R2378C8 = 23
Outies of C89 -> R2378C7 = 23
Innies of C12 -> R2378C2 = 18
Innies of R67 -> R6C258+R7C5 = 23
Outies of C5 -> R258C6+R5C7 = 18
Outies of R5 -> R34C5+R4C28 = 20
Outies minus innies of R1 -> R2C19-R1C5 = 6
Outies minus innies of C9 -> R19C8-R5C9 = 2
Outies minus innies of C1 -> R19C2-R5C1 = 4
Outies minus innies of R9 -> R8C19-R9C5 = 4
Finned Jellyfish on 9 in R3467 and C2678 with fin in R3467C5 -> R5C67 <> 9
R1C3 must have at least 1 of {79} -> Split cage 23/4 in R3C2378 may have at most 1 of {79} within R3C23
R1C4 must have at least 1 of {79} -> Complex cage 26/4 in R258C4+R5C3 may have at most 1 of {79} within R258C4
Complex cage 26/4 in R258C4+R5C3 -> R5C3 = {3456789}
R3C1 must have at least 1 of {68} -> Complex cage 4/3 in R19C2-R5C1 may have at most 1 of {68} within R1C2, R5C1
R3C1 must have at least 1 of {68} -> Split cage 17/4 in R2C2378 may have at most 1 of {68} within R2C23
R3C1 must have at least 1 of {68} -> Split cage 18/4 in R2378C2 may have at most 1 of {68} within R23C2
R4C1 must have at least 1 of {35} -> Cage 16/3 in R89C1+R9C2 may have at most 1 of {35} within R89C1
R4C1 must have at least 1 of {35} -> Cage 12/3 in R1C12+R2C1 may have at most 1 of {35} within R12C1
R4C1 must have at least 1 of {35} -> Cage 16/3 in R34C6+R4C7 may have at most 1 of {35} within R4C67
R4C1 must have at least 1 of {35} -> Complex cage 20/4 in R34C5+R4C28 may have at most 1 of {35} within R4C258
Split cage 15/2 in R1C3+R3C1 must have at least 1 of {67} -> Split cage 23/4 in R3C2378 may have at most 1 of {67} within R3C23
Split cage 15/2 in R1C3+R3C1 must have at least 1 of {67} -> Split cage 17/4 in R2C2378 may have at most 1 of {67} within R2C23
Split cage 15/2 in R1C3+R3C1 must have at least 1 of {67} -> Split cage 18/4 in R2378C2 may have at most 1 of {67} within R23C2
Split cage 15/2 in R1C3+R3C1 must have at least 1 of {89} -> Split cage 23/4 in R3C2378 may have at most 1 of {89} within R3C23
Split cage 15/2 in R7C1+R9C3 must have at least 1 of {67} -> Split cage 19/4 in R7C2378 may have at most 1 of {67} within R7C23
Split cage 15/2 in R7C1+R9C3 must have at least 1 of {67} -> Split cage 19/4 in R8C2378 may have at most 1 of {67} within R8C23
Split cage 15/2 in R7C1+R9C3 must have at least 1 of {67} -> Split cage 18/4 in R2378C2 may have at most 1 of {67} within R78C2
Split cage 15/2 in R7C1+R9C3 must have at least 1 of {68} -> Split cage 19/4 in R7C2378 may have at most 1 of {68} within R7C23
Split cage 15/2 in R7C1+R9C3 must have at least 1 of {68} -> Split cage 19/4 in R8C2378 may have at most 1 of {68} within R8C23
Split cage 15/2 in R7C1+R9C3 must have at least 1 of {68} -> Split cage 18/4 in R2378C2 may have at most 1 of {68} within R78C2
Cage 5/2 in R9C67 must have at least 1 of {34} -> Cage 16/3 in R89C1+R9C2 may have at most 1 of {34} within R9C12
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {24} -> Split cage 17/4 in R2C2378 may have at most 1 of {24} within R2C78
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {24} -> Split cage 23/4 in R2378C7 may have at most 1 of {24} within R23C7
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {24} -> Split cage 23/4 in R2378C8 may have at most 1 of {24} within R23C8
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {26} -> Split cage 17/4 in R2C2378 may have at most 1 of {26} within R2C78
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {26} -> Split cage 23/4 in R2378C7 may have at most 1 of {26} within R23C7
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {26} -> Split cage 23/4 in R2378C8 may have at most 1 of {26} within R23C8
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {48} -> Split cage 23/4 in R3C2378 may have at most 1 of {48} within R3C78
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {48} -> Split cage 17/4 in R2C2378 may have at most 1 of {48} within R2C78
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {48} -> Split cage 23/4 in R2378C7 may have at most 1 of {48} within R23C7
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {48} -> Split cage 23/4 in R2378C8 may have at most 1 of {48} within R23C8
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {68} -> Split cage 17/4 in R2C2378 may have at most 1 of {68} within R2C78
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {68} -> Split cage 23/4 in R2378C7 may have at most 1 of {68} within R23C7
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {68} -> Split cage 23/4 in R2378C8 may have at most 1 of {68} within R23C8
Cage 10/2 in R1C67 must have at least 1 of {24} -> Cage 12/3 in R1C12+R2C1 may have at most 1 of {24} within R1C12
Cage 10/2 in R1C67 must have at least 1 of {26} -> Cage 12/3 in R1C12+R2C1 may have at most 1 of {26} within R1C12
Cage 11/2 in R34C1 must have at least 1 of {58} -> Cage 16/3 in R89C1+R9C2 may have at most 1 of {58} within R89C1
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {13} -> Split cage 19/4 in R7C2378 may have at most 1 of {13} within R7C78
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {13} -> Split cage 19/4 in R8C2378 may have at most 1 of {13} within R8C78
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {24} -> Split cage 23/4 in R2378C7 may have at most 1 of {24} within R78C7
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {24} -> Split cage 23/4 in R2378C8 may have at most 1 of {24} within R78C8
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {24} -> Split cage 19/4 in R7C2378 may have at most 1 of {24} within R7C78
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {24} -> Split cage 19/4 in R8C2378 may have at most 1 of {24} within R8C78
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {34} -> Split cage 23/4 in R2378C7 may have at most 1 of {34} within R78C7
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {34} -> Split cage 23/4 in R2378C8 may have at most 1 of {34} within R78C8
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {34} -> Split cage 19/4 in R8C2378 may have at most 1 of {34} within R8C78
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {34} -> Split cage 19/4 in R7C2378 may have at most 1 of {34} within R7C78
Cage 13/3 in R1C89+R2C9 must have at least 1 of {13} -> Split cage 17/4 in R2C2378 may have at most 1 of {13} within R2C78
Cage 13/3 in R1C89+R2C9 must have at least 1 of {35} -> Split cage 23/4 in R3C2378 may have at most 1 of {35} within R3C78
Cage 13/3 in R1C89+R2C9 must have at least 1 of {35} -> Split cage 23/4 in R2378C7 may have at most 1 of {35} within R23C7
Cage 13/3 in R1C89+R2C9 must have at least 1 of {35} -> Split cage 17/4 in R2C2378 may have at most 1 of {35} within R2C78
Cage 13/3 in R1C89+R2C9 must have at least 1 of {35} -> Split cage 23/4 in R2378C8 may have at most 1 of {35} within R23C8
Cage 13/3 in R1C89+R2C9 must have at least 1 of {37} -> Split cage 23/4 in R3C2378 may have at most 1 of {37} within R3C78
Cage 13/3 in R1C89+R2C9 must have at least 1 of {37} -> Split cage 23/4 in R2378C7 may have at most 1 of {37} within R23C7
Cage 13/3 in R1C89+R2C9 must have at least 1 of {37} -> Split cage 17/4 in R2C2378 may have at most 1 of {37} within R2C78
Cage 13/3 in R1C89+R2C9 must have at least 1 of {37} -> Split cage 23/4 in R2378C8 may have at most 1 of {37} within R23C8
Split cage 23/4 in R2378C8 must have at least 1 of {89} -> Cage 20/4 in R456C8+R5C9 may have at most 1 of {89} within R456C8
Innies of R1 -> R1C12589 = 19
Cage 22/4 in R23C78 must have at least 1 of {35} -> Split cage 19/5 in R1C12589 may have at most 1 of {35} within R1C89
Cage 18/4 in R23C23 must have at least 1 of {25} -> Split cage 19/5 in R1C12589 may have at most 1 of {25} within R1C12
Innies of C3 -> R14569C3 = 31
Outies minus innies of C4, N1 -> R1C3-R4C1 = 4
Outies minus innies of C4, N7 -> R9C3-R6C1 = 5
R4C1 must have at least 1 of {35} -> Split cage 31/5 in R14569C3 may have at most 1 of {35}
Cage 23/4 in R456C2+R5C1 must have at least 1 of {456} -> Split cage 31/5 in R14569C3 may have at most 2 of {456}
Split cage 31/5 in R14569C3 must have at least 1 of {123} -> Split cage 14/4 in R2378C3 may have at most 2 of {123}
Split cage 14/4 in R2378C3 -> R8C3 = {1234567}, R7C3 = {1234567}, R3C3 = {1234567}, R2C3 = {1234567}
Split cage 31/5 in R14569C3 must have at least 1 of {124} -> Split cage 14/4 in R2378C3 may have at most 2 of {124}
Split cage 14/4 in R2378C3 -> R8C3 = {123456}, R7C3 = {123456}, R3C3 = {123456}, R2C3 = {123456}
Split cage 31/5 in R14569C3 must have at least 1 of {456} -> Cage 23/4 in R456C2+R5C1 may have at most 2 of {456}
Cage 23/4 in R456C2+R5C1 must have at least 1 of {29} -> Split cage 31/5 in R14569C3 may have at most 1 of {29} within R456C3
Cage 23/4 in R456C2+R5C1 must have at least 1 of {69} -> Split cage 31/5 in R14569C3 may have at most 1 of {69} within R456C3
Innies of N4 -> R46C13+R5C3 = 22
R1C3 must have at least 1 of {79} -> Split cage 22/5 in R46C13+R5C3 may have at most 1 of {79}
Split cage 14/4 in R2378C3 must have at least 1 of {13} -> Split cage 22/5 in R46C13+R5C3 may have at most 1 of {13} within R456C3
Split cage 14/4 in R2378C3 must have at least 1 of {14} -> Split cage 22/5 in R46C13+R5C3 may have at most 1 of {14} within R456C3
Split cage 14/4 in R2378C3 must have at least 1 of {15} -> Split cage 22/5 in R46C13+R5C3 may have at most 1 of {15} within R456C3
Split cage 22/5 in R46C13+R5C3 -> R5C3 = {345678}
All {9} of N4 are locked in Cage 23/4 in R456C2+R5C1 -> Cage 23/4 in R456C2+R5C1 = {9..}
9 of C3 locked in Split cage 15/2 in R1C3+R3C1 or Split cage 15/2 in R7C1+R9C3 -> 6 also locked in Split cage 15/2 in R1C3+R3C1 or Split cage 15/2 in R7C1+R9C3 -> R12589C1 <> 6
Split cage 14/4 in R2378C3 must have at least 1 of {23} -> Split cage 22/5 in R46C13+R5C3 may have at most 1 of {23} within R456C3
Split cage 14/4 in R2378C3 must have at least 1 of {24} -> Split cage 22/5 in R46C13+R5C3 may have at most 1 of {24} within R456C3
Split cage 14/4 in R2378C3 must have at least 1 of {26} -> Split cage 22/5 in R46C13+R5C3 may have at most 1 of {26} within R456C3
Split cage 14/4 in R2378C3 must have at least 1 of {45} -> Split cage 22/5 in R46C13+R5C3 may have at most 1 of {45} within R456C3
Split cage 14/4 in R2378C3 must have at least 1 of {46} -> Split cage 22/5 in R46C13+R5C3 may have at most 1 of {46} within R456C3
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {15} -> Cage 23/4 in R456C2+R5C1 may have at most 1 of {15}
Cage 23/4 in R456C2+R5C1 must have at least 1 of {27} -> Split cage 31/5 in R14569C3 may have at most 1 of {27} within R456C3
Cage 23/4 in R456C2+R5C1 must have at least 1 of {47} -> Split cage 31/5 in R14569C3 may have at most 1 of {47} within R456C3
Innies of N47 -> R4C13+R569C3 = 27
Innies of N14 -> R1456C3+R6C1 = 26
Cage 23/4 in R456C2+R5C1 must have at least 1 of {236} -> Complex cage 26/5 in R1456C3+R6C1 may have at most 2 of {236}
Innies of R3 -> R3C14569 = 22
Outies minus innies of R4, N1 -> R1C4-R3C1 = 1
Outies minus innies of R4, N3 -> R1C6-R3C9 = 0
Split cage 22/5 in R3C14569 must have at least 1 of {24} -> Split cage 23/4 in R3C2378 may have at most 1 of {24}
R1C4 & Cage 22/4 in R12C5+R2C46 must have at least 2 of {379} -> Split cage 22/5 in R3C14569 may have at most 1 of {379}
Split cage 22/5 in R3C14569 must have at least 1 of {15} -> Split cage 23/4 in R3C2378 may have at most 1 of {15}
Split cage 22/5 in R3C14569 must have at least 1 of {12} -> Cage 18/4 in R23C23 may have at most 1 of {12} within R3C23
Split cage 22/5 in R3C14569 must have at least 1 of {13} -> Cage 18/4 in R23C23 may have at most 1 of {13} within R3C23
Split cage 22/5 in R3C14569 must have at least 1 of {14} -> Cage 18/4 in R23C23 may have at most 1 of {14} within R3C23
Split cage 22/5 in R3C14569 must have at least 1 of {15} -> Cage 22/4 in R23C78 may have at most 1 of {15} within R3C78
Split cage 22/5 in R3C14569 must have at least 1 of {15} -> Cage 18/4 in R23C23 may have at most 1 of {15} within R3C23
Split cage 22/5 in R3C14569 must have at least 1 of {18} -> Cage 18/4 in R23C23 may have at most 1 of {18} within R3C23
Split cage 22/5 in R3C14569 must have at least 1 of {23} -> Cage 22/4 in R23C78 may have at most 1 of {23} within R3C78
Split cage 22/5 in R3C14569 must have at least 1 of {23} -> Cage 18/4 in R23C23 may have at most 1 of {23} within R3C23
Split cage 22/5 in R3C14569 must have at least 1 of {24} -> Cage 18/4 in R23C23 may have at most 1 of {24} within R3C23
Split cage 22/5 in R3C14569 must have at least 1 of {26} -> Cage 18/4 in R23C23 may have at most 1 of {26} within R3C23
Split cage 22/5 in R3C14569 must have at least 1 of {28} -> Cage 22/4 in R23C78 may have at most 1 of {28} within R3C78
Split cage 22/5 in R3C14569 must have at least 1 of {28} -> Cage 18/4 in R23C23 may have at most 1 of {28} within R3C23
Split cage 22/5 in R3C14569 must have at least 1 of {45} -> Cage 22/4 in R23C78 may have at most 1 of {45} within R3C78
Split cage 22/5 in R3C14569 must have at least 1 of {45} -> Cage 18/4 in R23C23 may have at most 1 of {45} within R3C23
Split cage 22/5 in R3C14569 must have at least 1 of {46} -> Cage 22/4 in R23C78 may have at most 1 of {46} within R3C78
Split cage 22/5 in R3C14569 must have at least 1 of {46} -> Cage 18/4 in R23C23 may have at most 1 of {46} within R3C23
Split cage 22/5 in R3C14569 must have at least 1 of {48} -> Cage 18/4 in R23C23 may have at most 1 of {48} within R3C23
Split cage 22/5 in R3C14569 must have at least 1 of {89} -> Cage 22/4 in R23C78 may have at most 1 of {89} within R3C78
Innies of N12 -> R13C6+R3C145 = 22
Split cage 23/4 in R3C2378 must have at least 1 of {67} -> Complex cage 22/5 in R13C6+R3C145 may have at most 1 of {67} within R3C1456
Innies of N2 -> R13C46+R3C5 = 23
Innies of N23 -> R13C4+R3C569 = 23
Split cage 23/4 in R3C2378 must have at least 1 of {123} -> Complex cage 23/5 in R13C4+R3C569 may have at most 2 of {123}
Split cage 23/4 in R3C2378 must have at least 1 of {145} -> Complex cage 23/5 in R13C4+R3C569 may have at most 2 of {145}
Split cage 23/4 in R3C2378 must have at least 1 of {236} -> Complex cage 23/5 in R13C4+R3C569 may have at most 2 of {236}
Complex cage 23/5 in R13C4+R3C569 must have at least 1 of {19} -> Cage 22/4 in R12C5+R2C46 may have at most 1 of {19}
Cage 22/4 in R12C5+R2C46 must have at least 1 of {236} -> Split cage 23/5 in R13C46+R3C5 may have at most 2 of {236}
Innies of N8 -> R7C456+R9C46 = 23
Outies minus innies of R6, N9 -> R7C1-R9C4 = 3
Outies minus innies of R6 -> R7C9-R9C6 = 0
Innies of R7 -> R7C14569 = 26
Split cage 26/5 in R7C14569 must have at least 1 of {89} -> Cage 24/4 in R78C78 may have at most 1 of {89} within R7C78
Innies of N78 -> R7C1456+R9C6 = 26
R9C4 must have at least 1 of {345} -> Complex cage 26/5 in R7C1456+R9C6 may have at most 2 of {345}
Complex cage 26/5 in R7C1456+R9C6 must have at least 1 of {79} -> Split cage 19/4 in R7C2378 may have at most 1 of {79}
Split cage 19/4 in R7C2378 must have at least 1 of {345} -> Split cage 26/5 in R7C14569 may have at most 2 of {345}
Complex cage 26/5 in R7C1456+R9C6 must have at least 1 of {249} -> Cage 22/4 in R8C456+R9C5 may have at most 2 of {249}
Cage 22/4 in R8C456+R9C5 must have at least 1 of {135} -> Complex cage 26/5 in R7C1456+R9C6 may have at most 2 of {135}
Cage 22/4 in R8C456+R9C5 must have at least 1 of {135} -> Split cage 23/5 in R7C456+R9C46 may have at most 2 of {135}
Complex cage 26/5 in R7C1456+R9C6 must have at least 1 of {349} -> Cage 22/4 in R8C456+R9C5 may have at most 2 of {349}
Cage 22/4 in R8C456+R9C5 must have at least 1 of {58} -> Split cage 23/5 in R7C456+R9C46 may have at most 1 of {58}
Cage 22/4 in R8C456+R9C5 must have at least 1 of {58} -> Complex cage 26/5 in R7C1456+R9C6 may have at most 1 of {58} within R7C456
Complex cage 26/5 in R7C1456+R9C6 must have at least 1 of {79} -> Cage 24/4 in R78C78 may have at most 1 of {79} within R7C78
Split cage 26/5 in R7C14569 must have at least 1 of {12} -> Cage 14/4 in R78C23 may have at most 1 of {12} within R7C23
Innies of N89 -> R7C4569+R9C4 = 23
Split cage 19/4 in R7C2378 must have at least 1 of {127} -> Complex cage 23/5 in R7C4569+R9C4 may have at most 2 of {127}
Innies of C7 -> R14569C7 = 22
Outies minus innies of C6, N3 -> R1C7-R4C9 = 1
Outies minus innies of C6, N9 -> R6C9-R9C7 = 4
Split cage 22/5 in R14569C7 must have at least 1 of {23} -> Cage 22/4 in R23C78 may have at most 1 of {23} within R23C7
Innies of N6 -> R46C79+R5C7 = 25
R4C1 must have at least 1 of {35} -> Split cage 25/5 in R46C79+R5C7 may have at most 1 of {35} within R4C79
Split cage 23/4 in R2378C7 must have at least 1 of {89} -> Split cage 25/5 in R46C79+R5C7 may have at most 1 of {89} within R456C7
Innies of N69 -> R4C79+R569C7 = 21
Innies of N36 -> R1456C7+R6C9 = 26
Split cage 23/4 in R2378C7 must have at least 1 of {89} -> Complex cage 26/5 in R1456C7+R6C9 may have at most 1 of {89} within R1456C7
Innies of C1 -> R12589C1 = 24
All {1} of C1 are locked in Split cage 24/5 in R12589C1 -> Split cage 24/5 in R12589C1 = {1..}
All {9} of C1 are locked in Split cage 24/5 in R12589C1 -> Split cage 24/5 in R12589C1 = {9..}
Complex cage 4/2 in R1C3-R4C1 must have at least 1 of {39} -> Split cage 24/5 in R12589C1 may have at most 1 of {39} within R12C1
Complex cage 4/2 in R1C3-R4C1 must have at least 1 of {57} -> Split cage 24/5 in R12589C1 may have at most 1 of {57} within R12C1
Split cage 15/2 in R1C3+R3C1 must have at least 1 of {89} -> Split cage 24/5 in R12589C1 may have at most 1 of {89} within R12C1
Split cage 15/2 in R7C1+R9C3 must have at least 1 of {79} -> Split cage 24/5 in R12589C1 may have at most 1 of {79} within R89C1
Split cage 15/2 in R7C1+R9C3 must have at least 1 of {89} -> Split cage 24/5 in R12589C1 may have at most 1 of {89} within R89C1
Cage 14/4 in R78C23 must have at least 1 of {12} -> Split cage 24/5 in R12589C1 may have at most 1 of {12} within R89C1
Cage 14/4 in R78C23 must have at least 1 of {13} -> Split cage 24/5 in R12589C1 may have at most 1 of {13} within R89C1
Cage 14/4 in R78C23 must have at least 1 of {14} -> Split cage 24/5 in R12589C1 may have at most 1 of {14} within R89C1
Cage 14/4 in R78C23 must have at least 1 of {15} -> Split cage 24/5 in R12589C1 may have at most 1 of {15} within R89C1
Cage 14/4 in R78C23 must have at least 1 of {24} -> Split cage 24/5 in R12589C1 may have at most 1 of {24} within R89C1
Cage 18/4 in R23C23 must have at least 1 of {25} -> Split cage 24/5 in R12589C1 may have at most 1 of {25} within R12C1
Outies of R1 -> R2C14569 = 28
Split cage 22/5 in R3C14569 must have at least 1 of {13} -> Split cage 28/5 in R2C14569 may have at most 1 of {13} within R2C456
Split cage 22/5 in R3C14569 must have at least 1 of {15} -> Split cage 28/5 in R2C14569 may have at most 1 of {15} within R2C456
Complex cage 23/5 in R13C4+R3C569 must have at least 1 of {19} -> Split cage 28/5 in R2C14569 may have at most 1 of {19} within R2C456
Complex cage 22/5 in R13C6+R3C145 must have at least 1 of {14} -> Split cage 28/5 in R2C14569 may have at most 1 of {14} within R2C456
Complex cage 22/5 in R13C6+R3C145 must have at least 1 of {24} -> Split cage 28/5 in R2C14569 may have at most 1 of {24} within R2C456
Split cage 28/5 in R2C14569 must have at least 1 of {69} -> Cage 22/4 in R23C78 may have at most 1 of {69} within R2C78
Split cage 28/5 in R2C14569 must have at least 1 of {78} -> Cage 22/4 in R23C78 may have at most 1 of {78} within R2C78
Innies of C9 -> R12589C9 = 27
All {9} of C9 are locked in Split cage 27/5 in R12589C9 -> Split cage 27/5 in R12589C9 = {9..}
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {24} -> Split cage 27/5 in R12589C9 may have at most 1 of {24} within R12C9
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {26} -> Split cage 27/5 in R12589C9 may have at most 1 of {26} within R12C9
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {48} -> Split cage 27/5 in R12589C9 may have at most 1 of {48} within R12C9
Split cage 10/2 in R1C7+R3C9 must have at least 1 of {68} -> Split cage 27/5 in R12589C9 may have at most 1 of {68} within R12C9
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {12} -> Split cage 27/5 in R12589C9 may have at most 1 of {12} within R89C9
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {13} -> Split cage 27/5 in R12589C9 may have at most 1 of {13} within R89C9
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {24} -> Split cage 27/5 in R12589C9 may have at most 1 of {24} within R89C9
Split cage 5/2 in R7C9+R9C7 must have at least 1 of {34} -> Split cage 27/5 in R12589C9 may have at most 1 of {34} within R89C9
Cage 22/4 in R23C78 must have at least 1 of {35} -> Split cage 27/5 in R12589C9 may have at most 1 of {35} within R12C9
Cage 22/4 in R23C78 must have at least 1 of {37} -> Split cage 27/5 in R12589C9 may have at most 1 of {37} within R12C9
Cage 22/4 in R23C78 must have at least 1 of {59} -> Split cage 27/5 in R12589C9 may have at most 1 of {59} within R12C9
Cage 24/4 in R78C78 must have at least 1 of {56} -> Split cage 27/5 in R12589C9 may have at most 1 of {56} within R89C9
Cage 24/4 in R78C78 must have at least 1 of {79} -> Split cage 27/5 in R12589C9 may have at most 1 of {79} within R89C9
Cage 24/4 in R78C78 must have at least 1 of {89} -> Split cage 27/5 in R12589C9 may have at most 1 of {89} within R89C9
Innies of R9 -> R9C12589 = 28
All {6} of R9 are locked in Split cage 28/5 in R9C12589 -> Split cage 28/5 in R9C12589 = {6..}
Split cage 28/5 in R9C12589 & Cage 5/2 in R9C67 forms a complex hidden Pair on {12} within R9 since none of them may include both {12} -> each of Split cage 28/5 in R9C12589 & Cage 5/2 in R9C67 must include one of {12}
-> R9C12589 = {(1|2)..}
Cage 5/2 in R9C67 must have at least 1 of {24} -> Split cage 28/5 in R9C12589 may have at most 1 of {24}
Split cage 15/2 in R7C1+R9C3 must have at least 1 of {67} -> Split cage 28/5 in R9C12589 may have at most 1 of {67} within R9C12
Split cage 15/2 in R7C1+R9C3 must have at least 1 of {68} -> Split cage 28/5 in R9C12589 may have at most 1 of {68} within R9C12
Split cage 15/2 in R7C1+R9C3 must have at least 1 of {79} -> Split cage 28/5 in R9C12589 may have at most 1 of {79} within R9C12
Split cage 15/2 in R7C1+R9C3 must have at least 1 of {89} -> Split cage 28/5 in R9C12589 may have at most 1 of {89} within R9C12
Cage 14/4 in R78C23 must have at least 1 of {14} -> Split cage 28/5 in R9C12589 may have at most 1 of {14} within R9C12
Cage 14/4 in R78C23 must have at least 1 of {15} -> Split cage 28/5 in R9C12589 may have at most 1 of {15} within R9C12
Cage 14/4 in R78C23 must have at least 1 of {23} -> Split cage 28/5 in R9C12589 may have at most 1 of {23} within R9C12
Cage 14/4 in R78C23 must have at least 1 of {26} -> Split cage 28/5 in R9C12589 may have at most 1 of {26} within R9C12
Cage 24/4 in R78C78 must have at least 1 of {56} -> Split cage 28/5 in R9C12589 may have at most 1 of {56} within R9C89
Cage 24/4 in R78C78 must have at least 1 of {79} -> Split cage 28/5 in R9C12589 may have at most 1 of {79} within R9C89
Cage 24/4 in R78C78 must have at least 1 of {89} -> Split cage 28/5 in R9C12589 may have at most 1 of {89} within R9C89
Outies of C9 -> R14569C8 = 22
Split cage 22/5 in R14569C8 must have at least 1 of {23} -> Cage 22/4 in R23C78 may have at most 1 of {23} within R23C8
Outies of C1 -> R14569C2 = 27
R4C1 must have at least 1 of {35} -> Split cage 27/5 in R14569C2 may have at most 1 of {35} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {12} -> Split cage 27/5 in R14569C2 may have at most 1 of {12} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {13} -> Split cage 27/5 in R14569C2 may have at most 1 of {13} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {14} -> Split cage 27/5 in R14569C2 may have at most 1 of {14} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {15} -> Split cage 27/5 in R14569C2 may have at most 1 of {15} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {18} -> Split cage 27/5 in R14569C2 may have at most 1 of {18} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {23} -> Split cage 27/5 in R14569C2 may have at most 1 of {23} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {26} -> Split cage 27/5 in R14569C2 may have at most 1 of {26} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {36} -> Split cage 27/5 in R14569C2 may have at most 1 of {36} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {38} -> Split cage 27/5 in R14569C2 may have at most 1 of {38} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {45} -> Split cage 27/5 in R14569C2 may have at most 1 of {45} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {46} -> Split cage 27/5 in R14569C2 may have at most 1 of {46} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {56} -> Split cage 27/5 in R14569C2 may have at most 1 of {56} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {58} -> Split cage 27/5 in R14569C2 may have at most 1 of {58} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {68} -> Split cage 27/5 in R14569C2 may have at most 1 of {68} within R456C2
Split cage 22/5 in R46C13+R5C3 must have at least 1 of {78} -> Split cage 27/5 in R14569C2 may have at most 1 of {78} within R456C2
Outies of R9 -> R8C14569 = 26
Split cage 23/5 in R7C456+R9C46 must have at least 1 of {12} -> Split cage 26/5 in R8C14569 may have at most 1 of {12} within R8C456
Split cage 23/5 in R7C456+R9C46 must have at least 1 of {13} -> Split cage 26/5 in R8C14569 may have at most 1 of {13} within R8C456
Split cage 23/5 in R7C456+R9C46 must have at least 1 of {24} -> Split cage 26/5 in R8C14569 may have at most 1 of {24} within R8C456
Split cage 26/5 in R8C14569 must have at least 1 of {89} -> Cage 24/4 in R78C78 may have at most 1 of {89} within R8C78
Outies minus innies of N4 -> R19C3+R37C1 = 30
All {6} of C1 are locked in Complex cage 30/4 in R19C3+R37C1 -> Complex cage 30/4 in R19C3+R37C1 = {6..}
8 of Complex cage 30/4 in R19C3+R37C1 locked in R37C1, R9C3 since Complex cage 30/4 in R19C3+R37C1 = {8..} -> R89C1 <> 8
Cage 16/3 in R89C1+R9C2 -> R9C2 = {23456789}
Split cage 15/2 in R7C1+R9C3 & Cage 16/3 in R89C1+R9C2 forms a complex naked Pair on {79} -> not elsewhere in N7
Cage 14/4 in R78C23 must have at least 1 of {36} -> Split cage 28/5 in R9C12589 may have at most 1 of {36} within R9C12
Outies minus innies of R3 -> R34C19 = 20
Complex cage 20/4 in R34C19 -> R4C9 = {157}, R3C9 = {248}
Complex cage 9/2 in R1C6+R4C9 -> R1C6 = {248}
Complex cage 1/2 in R1C7-R4C9 -> R1C7 = {268}
Complex cage 22/5 in R13C6+R3C145 must have at least 1 of {23} -> Cage 22/4 in R12C5+R2C46 may have at most 1 of {23}
Cage 22/4 in R12C5+R2C46 must have at least 1 of {67} -> Split cage 23/5 in R13C46+R3C5 may have at most 1 of {67}
Split cage 22/5 in R14569C7 must have at least 1 of {26} -> Split cage 23/4 in R2378C7 may have at most 1 of {26}
Split cage 25/5 in R46C79+R5C7 must have at least 1 of {15} -> Cage 20/4 in R456C8+R5C9 may have at most 1 of {15}
R1C7 must have at least 1 of {268} -> Complex cage 21/5 in R4C79+R569C7 may have at most 2 of {268}
Cage 9/2 in R34C9 must have at least 1 of {147} -> Split cage 27/5 in R12589C9 may have at most 2 of {147}
Cage 9/2 in R34C9 must have at least 1 of {258} -> Split cage 27/5 in R12589C9 may have at most 2 of {258}
Split cage 23/4 in R2378C7 must have at least 1 of {349} -> Split cage 25/5 in R46C79+R5C7 may have at most 2 of {349}
Split cage 25/5 in R46C79+R5C7 must have at least 1 of {56} -> Cage 20/4 in R456C8+R5C9 may have at most 1 of {56}
Split cage 23/4 in R2378C7 must have at least 1 of {369} -> Complex cage 21/5 in R4C79+R569C7 may have at most 2 of {369}
Complex cage 23/5 in R13C4+R3C569 must have at least 1 of {567} -> Cage 22/4 in R12C5+R2C46 may have at most 2 of {567}
Cage 22/4 in R12C5+R2C46 must have at least 1 of {89} -> Split cage 23/5 in R13C46+R3C5 may have at most 1 of {89}
Cage 22/4 in R12C5+R2C46 must have at least 1 of {123} -> Complex cage 22/5 in R13C6+R3C145 may have at most 2 of {123}
Split cage 25/5 in R46C79+R5C7 must have at least 1 of {349} -> Split cage 23/4 in R2378C7 may have at most 2 of {349}
R1C7 & Split cage 23/4 in R2378C7 must have at least 2 of {268} -> Complex cage 21/5 in R4C79+R569C7 may have at most 1 of {268}
Complex cage 21/5 in R4C79+R569C7 must have at least 1 of {49} -> Split cage 23/4 in R2378C7 may have at most 1 of {49}
Split cage 23/4 in R2378C7 must have at least 1 of {15} -> Split cage 22/5 in R14569C7 may have at most 1 of {15}
Complex cage 20/4 in R34C19 must have at least 1 of {57} -> Cage 16/3 in R34C6+R4C7 may have at most 1 of {57} within R4C67
Complex cage 20/4 in R34C19 must have at least 1 of {57} -> Complex cage 20/4 in R34C5+R4C28 may have at most 1 of {57} within R4C258
Split cage 23/4 in R2378C7 must have at least 1 of {15} -> Split cage 25/5 in R46C79+R5C7 may have at most 1 of {15} within R456C7
Split cage 23/4 in R2378C7 must have at least 1 of {56} -> Complex cage 26/5 in R1456C7+R6C9 may have at most 1 of {56} within R1456C7
Split cage 23/4 in R2378C7 must have at least 1 of {57} -> Split cage 25/5 in R46C79+R5C7 may have at most 1 of {57} within R456C7
Split cage 23/4 in R2378C7 must have at least 1 of {59} -> Complex cage 21/5 in R4C79+R569C7 may have at most 1 of {59} within R456C7
Complex cage 22/5 in R13C6+R3C145 must have at least 1 of {23} -> Split cage 28/5 in R2C14569 may have at most 1 of {23} within R2C456
Complex cage 22/5 in R13C6+R3C145 must have at least 1 of {45} -> Split cage 28/5 in R2C14569 may have at most 1 of {45} within R2C456
Split cage 23/5 in R13C46+R3C5 must have at least 1 of {89} -> Split cage 28/5 in R2C14569 may have at most 1 of {89} within R2C456
Split cage 22/5 in R14569C7 must have at least 1 of {26} -> Cage 24/4 in R78C78 may have at most 1 of {26} within R78C7
Split cage 22/5 in R14569C7 must have at least 1 of {28} -> Cage 22/4 in R23C78 may have at most 1 of {28} within R23C7
Split cage 22/5 in R14569C7 must have at least 1 of {28} -> Cage 24/4 in R78C78 may have at most 1 of {28} within R78C7
Split cage 22/5 in R14569C7 must have at least 1 of {34} -> Cage 22/4 in R23C78 may have at most 1 of {34} within R23C7
Split cage 22/5 in R14569C7 must have at least 1 of {47} -> Cage 22/4 in R23C78 may have at most 1 of {47} within R23C7
Split cage 22/5 in R14569C7 must have at least 1 of {47} -> Cage 24/4 in R78C78 may have at most 1 of {47} within R78C7
Split cage 22/5 in R14569C7 must have at least 1 of {49} -> Cage 22/4 in R23C78 may have at most 1 of {49} within R23C7
Split cage 22/5 in R14569C7 must have at least 1 of {49} -> Cage 24/4 in R78C78 may have at most 1 of {49} within R78C7
Split cage 25/5 in R46C79+R5C7 must have at least 1 of {15} -> Split cage 22/5 in R14569C8 may have at most 1 of {15} within R456C8
Split cage 25/5 in R46C79+R5C7 must have at least 1 of {56} -> Split cage 22/5 in R14569C8 may have at most 1 of {56} within R456C8
Split cage 25/5 in R46C79+R5C7 must have at least 1 of {57} -> Split cage 22/5 in R14569C8 may have at most 1 of {57} within R456C8
Outies minus innies of N2 -> R1C37+R3C19 = 25
Outies minus innies of N8 -> R9C3467 = 17
Split cage 17/4 in R9C3467 must have at least 1 of {35} -> Cage 16/3 in R89C9+R9C8 may have at most 1 of {35} within R9C89
Split cage 17/4 in R9C3467 must have at least 1 of {37} -> Cage 16/3 in R89C9+R9C8 may have at most 1 of {37} within R9C89
Split cage 17/4 in R9C3467 must have at least 1 of {45} -> Cage 16/3 in R89C1+R9C2 may have at most 1 of {45} within R9C12
Split cage 17/4 in R9C3467 must have at least 1 of {45} -> Cage 16/3 in R89C9+R9C8 may have at most 1 of {45} within R9C89
Split cage 17/4 in R9C3467 must have at least 1 of {47} -> Cage 16/3 in R89C1+R9C2 may have at most 1 of {47} within R9C12
Split cage 17/4 in R9C3467 must have at least 1 of {47} -> Cage 16/3 in R89C9+R9C8 may have at most 1 of {47} within R9C89
Cage 16/3 in R89C9+R9C8 -> R9C9 = {12356789}, R9C8 = {12356789}
Outies minus innies of C7 -> R19C67 = 15
Outies minus innies of N6 -> R19C7+R37C9 = 15
Outies minus innies of R7 -> R6C19+R9C46 = 16
Outies minus innies of R7, N56 -> R34C14+R4C3 = 22
Split cage 23/4 in R3C2378 must have at least 1 of {67} -> Complex cage 22/5 in R34C14+R4C3 may have at most 1 of {67} within R3C14
Complex cage 22/5 in R34C14+R4C3 -> R3C4 = {1234568}
Outies minus innies of C7, N125 -> R6C134+R79C4 = 18
Cage 23/4 in R456C2+R5C1 must have at least 1 of {27} -> Complex cage 18/5 in R6C134+R79C4 may have at most 1 of {27} within R6C13
Outies minus innies of N256 -> R7C1+R9C3-R6C1-R9C4 = 8
Outies minus innies of R7, N145 -> R134C6+R4C79 = 25
R4C1 must have at least 1 of {35} -> Complex cage 25/5 in R134C6+R4C79 may have at most 1 of {35} within R4C679
Cage 22/4 in R12C5+R2C46 must have at least 1 of {68} -> Complex cage 25/5 in R134C6+R4C79 may have at most 1 of {68} within R13C6
Cage 22/4 in R12C5+R2C46 must have at least 1 of {89} -> Complex cage 25/5 in R134C6+R4C79 may have at most 1 of {89} within R13C6
Outies minus innies of N458 -> R1C7+R3C9-R1C6-R4C9 = 1
Outies minus innies of C3, N235 -> R6C679+R79C6 = 27
Outies minus innies of N245 -> R6C9+R9C6-R7C9-R9C7 = 4
Complex XY-Chain on 8 with 1 cells 1 links (8=6)R3C1-Complex cage 20/4 in R34C19-(4=8)Split cage 10/2 in R1C7+R3C9 -> common buddies of R3C1 & R1C7, R3C9 <> 8
Complex XY-Chain on 1|5 with 2 links (1)R1C89=(1)R23C78-Cage 22/4 in R23C78-(3=5)Cage 22/4 in R23C78 ->
-> R1C89 = {(1|~5)..}
Complex XY-Chain on 5|7 with 2 links (5)R23C78=(5)R1C89-Cage 13/3 in R1C89+R2C9-(3=7)Cage 13/3 in R1C89+R2C9 ->
-> R12C9 = {(7|~5)..}
Complex XY-Chain on 8 with 1 cells 2 links (8=6)R3C1-Complex cage 20/4 in R34C19-(4=2)Split cage 10/2 in R1C7+R3C9-Split cage 10/2 in R1C7+R3C9-(6=8)Cage 10/2 in R1C67 -> common buddies of R3C1 & R1C67 <> 8
Cage 12/3 in R1C12+R2C1 & Split cage 24/5 in R12589C1 -> R5C1 = {1234579}, R2C1 = {1345789}
Cage 12/3 in R1C12+R2C1 must have at least 1 of {13} -> Cage 18/4 in R23C23 may have at most 1 of {13}
Cage 12/3 in R1C12+R2C1 must have at least 1 of {13} -> Split cage 14/4 in R2378C3 may have at most 1 of {13} within R23C3
Cage 12/3 in R1C12+R2C1 must have at least 1 of {13} -> Split cage 17/4 in R2C2378 may have at most 1 of {13} within R2C23
Complex cage 6/3 in R2C19-R1C5 & Cage 13/3 in R1C89+R2C9 -> R1C5 = {124568}
Cage 16/3 in R89C1+R9C2 & Split cage 24/5 in R12589C1 -> R9C2 = {2345689}
Complex XY-Chain on 7|5 with 1 links (7)R89C1=(7)R7C1, R9C3-(7=5)Complex cage 4/2 in R1C3-R4C1 ->
-> R89C1 = {(7|~5)..}
Complex XY-Chain on 7|5 with 1 links (7)R456C2=(7)R23C2-(7=5)Complex cage 4/2 in R1C3-R4C1 ->
-> R456C2 = {(7|~5)..}
Split cage 17/4 in R2C2378 & Cage 22/4 in R23C78 -> R3C7 = {1345679}
Complex cage 6/3 in R2C19-R1C5 & Split cage 19/5 in R1C12589 -> R2C9 = {234679}, R1C5 = {1456}
Split cage 23/5 in R13C46+R3C5 & Split cage 28/5 in R2C14569 forms a complex hidden Pair on {89} within N2 since none of them may include both {89} -> each of Split cage 23/5 in R13C46+R3C5 & Split cage 28/5 in R2C14569 must include one of {89}
-> R2C456 = {(8|9)..}
Cage 22/4 in R12C5+R2C46 must have at least 1 of {237} -> Split cage 17/4 in R2C2378 may have at most 2 of {237}
Split cage 17/4 in R2C2378 must have at least 1 of {14} -> Split cage 28/5 in R2C14569 may have at most 1 of {14}
Cage 22/4 in R12C5+R2C46 must have at least 1 of {238} -> Split cage 17/4 in R2C2378 may have at most 2 of {238}
Split cage 17/4 in R2C2378 must have at least 1 of {15} -> Split cage 28/5 in R2C14569 may have at most 1 of {15}
Split cage 17/4 in R2C2378 must have at least 1 of {16} -> Complex cage 6/3 in R2C19-R1C5 may have at most 1 of {16} within R2C19
Split cage 28/5 in R2C14569 must have at least 1 of {23} -> Cage 18/4 in R23C23 may have at most 1 of {23} within R2C23
Complex XY-Loop with 2 links (8)R1C89=(8)R1C67-Cage 10/2 in R1C67-(6=8)Split cage 10/2 in R1C7+R3C9... -> no 8 elsewhere in N3
Cage 22/4 in R23C78 -> R3C8 = {1345679}, R2C8 = {1345679}, R2C7 = {1345679}
Cage 22/4 in R23C78 must have at least 1 of {14} -> Split cage 19/5 in R1C12589 may have at most 1 of {14} within R1C89
Cage 22/4 in R23C78 must have at least 1 of {14} -> Split cage 27/5 in R12589C9 may have at most 1 of {14} within R12C9
Cage 22/4 in R23C78 must have at least 1 of {16} -> Split cage 19/5 in R1C12589 may have at most 1 of {16} within R1C89
Cage 22/4 in R23C78 must have at least 1 of {16} -> Split cage 27/5 in R12589C9 may have at most 1 of {16} within R12C9
Cage 22/4 in R23C78 must have at least 1 of {47} -> Split cage 27/5 in R12589C9 may have at most 1 of {47} within R12C9
Cage 22/4 in R23C78 must have at least 1 of {49} -> Split cage 27/5 in R12589C9 may have at most 1 of {49} within R12C9
Cage 22/4 in R23C78 must have at least 1 of {67} -> Split cage 27/5 in R12589C9 may have at most 1 of {67} within R12C9
Cage 22/4 in R23C78 must have at least 1 of {69} -> Split cage 27/5 in R12589C9 may have at most 1 of {69} within R12C9
Complex XY-Chain on 4|8 with 2 links (4)R4569C7=(4)R2378C7-Split cage 23/4 in R2378C7-(9=8)Split cage 23/4 in R2378C7 ->
-> R78C7 = {(8|~4)..}
Complex XY-Chain on 9|4 with 2 links (9=6)Complex cage 1/2 in R1C4-R3C1-Complex cage 20/4 in R34C19-(4=8)Split cage 10/2 in R1C7+R3C9-(8=4)Split cage 19/5 in R1C12589 ->
-> R1C46 = {(9|~4)..}
Split cage 23/4 in R2378C8 & Cage 24/4 in R78C78 -> R8C7 = {12356789}, R7C7 = {12356789}
Complex cage 4/3 in R19C2-R5C1 & Split cage 24/5 in R12589C1 -> R5C1 = {134579}
Complex XY-Chain on 2|8 with 2 links (2)R456C2=(2)R46C3, R6C1-Split cage 22/5 in R46C13+R5C3-(7=8)Split cage 22/5 in R46C13+R5C3 ->
-> R456C2 = {(2|~8)..}
Split cage 27/5 in R14569C2 must have at least 1 of {37} -> Split cage 18/4 in R2378C2 may have at most 1 of {37}
Cage 16/3 in R89C1+R9C2 & Split cage 17/4 in R9C3467 -> R9C1 = {13479}, R8C1 = {12349}
Complex XY-Chain on 7|8 with 2 links (7)R9C1=(7)R7C1, R9C3-Split cage 15/2 in R7C1+R9C3-(6=8)Split cage 15/2 in R7C1+R9C3 ->
-> R9C12 = {(7|~8)..}
Cage 11/3 in R6C34+R7C4 & Split cage 22/5 in R46C13+R5C3 -> R7C4 = {1234678}
Split cage 23/4 in R3C2378 & Split cage 17/4 in R2C2378 -> R2C8 = {145679}, R2C7 = {145679}
Split cage 24/5 in R12589C1 & Split cage 19/5 in R1C12589 -> R1C9 = {123468}, R1C8 = {123468}
Cage 13/3 in R1C89+R2C9 -> R2C9 = {23469}
All {5} of N3 are locked in Cage 22/4 in R23C78 -> Cage 22/4 in R23C78 = {5..}
Cage 22/4 in R23C78 -> R3C8 = {145679}, R3C7 = {145679}
Complex XY-Chain on 3|8 with 2 links (3)R3C23=(3)R3C456-Complex cage 22/5 in R13C6+R3C145-(9=8)Split cage 22/5 in R3C14569 ->
-> R3C23 = {(3|~8)..}
Cage 18/4 in R23C23 must have at least 1 of {23} -> Cage 12/3 in R1C12+R2C1 may have at most 1 of {23}
Cage 12/3 in R1C12+R2C1 must have at least 1 of {14} -> Split cage 14/4 in R2378C3 may have at most 1 of {14} within R23C3
Cage 12/3 in R1C12+R2C1 must have at least 1 of {14} -> Split cage 17/4 in R2C2378 may have at most 1 of {14} within R2C23
Cage 12/3 in R1C12+R2C1 must have at least 1 of {14} -> Split cage 18/4 in R2378C2 may have at most 1 of {14} within R23C2
Cage 12/3 in R1C12+R2C1 must have at least 1 of {15} -> Split cage 14/4 in R2378C3 may have at most 1 of {15} within R23C3
Cage 12/3 in R1C12+R2C1 must have at least 1 of {15} -> Split cage 17/4 in R2C2378 may have at most 1 of {15} within R2C23
Cage 12/3 in R1C12+R2C1 must have at least 1 of {15} -> Split cage 18/4 in R2378C2 may have at most 1 of {15} within R23C2
Cage 18/4 in R23C23 must have at least 1 of {23} -> Split cage 19/5 in R1C12589 may have at most 1 of {23} within R1C12
Complex XY-Chain on 9|1 with 2 links (9)R2C9=(9)R23C78-Cage 22/4 in R23C78-(6=1)Cage 22/4 in R23C78 ->
-> R12C9 = {(9|~1)..}
Cage 22/4 in R23C78 & Split cage 23/4 in R2378C8 -> R8C8 = {12356789}, R7C8 = {12356789}
Cage 24/4 in R78C78 & Cage 16/3 in R89C9+R9C8 forms a complex hidden Pair on {56} within N9 since none of them may include both {56} -> each of Cage 24/4 in R78C78 & Cage 16/3 in R89C9+R9C8 must include one of {56}
-> R89C9, R9C8 = {(5|6)..}
Cage 24/4 in R78C78 must have at least 1 of {69} -> Cage 16/3 in R89C9+R9C8 may have at most 1 of {69}
Cage 16/3 in R89C9+R9C8 -> R9C9 = {2356789}, R9C8 = {2356789}, R8C9 = {23456789}
Cage 24/4 in R78C78 must have at least 1 of {39} -> Split cage 27/5 in R12589C9 may have at most 1 of {39} within R89C9
Cage 24/4 in R78C78 must have at least 1 of {69} -> Split cage 28/5 in R9C12589 may have at most 1 of {69} within R9C89
Cage 24/4 in R78C78 must have at least 1 of {69} -> Split cage 27/5 in R12589C9 may have at most 1 of {69} within R89C9
Cage 24/4 in R78C78 must have at least 1 of {78} -> Split cage 27/5 in R12589C9 may have at most 1 of {78} within R89C9
Complex XY-Chain on 3|4 with 2 links (3)R12589C9=(3)R7C9-Split cage 5/2 in R7C9+R9C7-(4)R7C9, R9C7=(4)R8C9 -> R8C9<>3
-> R12589C9 = {(3|4)..}
Split cage 27/5 in R12589C9 must have at least 1 of {34} -> Complex cage 15/4 in R19C7+R37C9 may have at most 1 of {34} within R37C9
Split cage 27/5 in R12589C9 must have at least 1 of {56} -> Split cage 25/5 in R46C79+R5C7 may have at most 1 of {56} within R46C9
Split cage 25/5 in R46C79+R5C7 must have at least 1 of {147} -> Cage 20/4 in R456C8+R5C9 may have at most 2 of {147}
Cage 13/3 in R1C89+R2C9 & Split cage 27/5 in R12589C9 -> R1C9 = {12346}, R1C8 = {13468}
Complex XY-Chain on 3|2 with 3 links (3)R12C9=(3)R1C8-(8=6)Split cage 19/5 in R1C12589-(6=2)Split cage 10/2 in R1C7+R3C9 ->
-> R12C9 = {(3|~2)..}
Split cage 27/5 in R12589C9 must have at least 1 of {16} -> Split cage 25/5 in R46C79+R5C7 may have at most 1 of {16} within R46C9
Complex XY-Chain on 5|7 with 2 links (5)R46C9=(5)R589C9-Split cage 27/5 in R12589C9-(7)R589C9=(7)R46C9 ->
-> R46C9 = {(5|7)..}
Cage 16/3 in R89C9+R9C8 & Split cage 27/5 in R12589C9 -> R9C9 = {235689}, R9C8 = {23578}, R5C9 = {12346789}
Cage 16/3 in R89C1+R9C2 & Split cage 28/5 in R9C12589 -> R9C5 = {12356789}
Cage 16/3 in R89C9+R9C8 & Split cage 28/5 in R9C12589 -> R8C9 = {2345689}
7 of C9 locked in R456C9 -> not elsewhere in N6
All {7} of C7 are locked in Split cage 23/4 in R2378C7 -> Split cage 23/4 in R2378C7 = {7..}
Split cage 23/4 in R2378C7 -> R3C7 = {15679}, R2C7 = {15679}
Split cage 23/4 in R2378C7 must have at least 1 of {39} -> Split cage 25/5 in R46C79+R5C7 may have at most 1 of {39}
Split cage 25/5 in R46C79+R5C7 must have at least 1 of {68} -> Cage 20/4 in R456C8+R5C9 may have at most 1 of {68}
Split cage 22/5 in R14569C8 must have at least 1 of {24} -> Split cage 23/4 in R2378C8 may have at most 1 of {24}
Split cage 27/5 in R12589C9 -> R5C9 = {1346789}, R2C9 = {3469}, R1C9 = {1346}
Cage 13/3 in R1C89+R2C9 -> R1C8 = {1346}
R1C7, R3C9 forms a hidden Pair on {28} within N3 -> R1C7, R3C9 = {28}
Cage 10/2 in R1C67 = {28} (Naked Pair in R1)
Complex cage 1/2 in R1C7-R4C9 -> R4C9 = {17}
Cage 12/3 in R1C12+R2C1 -> R2C1 = {134578}
All {2} of N1 are locked in Cage 18/4 in R23C23 -> Cage 18/4 in R23C23 = {2..}
Split cage 25/5 in R46C79+R5C7 & Split cage 23/4 in R2378C7 forms a complex hidden Pair on {56} within C7 since none of them may include both {56} -> each of Split cage 25/5 in R46C79+R5C7 & Split cage 23/4 in R2378C7 must include one of {56}
-> R456C7 = {(5|6)..}
R1C6 must have at least 1 of {28} -> Cage 22/4 in R12C5+R2C46 may have at most 1 of {28}
R4C9 must have at least 1 of {17} -> Cage 20/4 in R456C8+R5C9 may have at most 1 of {17}
R4C9 must have at least 1 of {17} -> Complex cage 26/5 in R1456C7+R6C9 may have at most 1 of {17}
Split cage 25/5 in R46C79+R5C7 must have at least 1 of {47} -> Cage 20/4 in R456C8+R5C9 may have at most 1 of {47}
Split cage 28/5 in R2C14569 must have at least 1 of {34} -> Split cage 17/4 in R2C2378 may have at most 1 of {34}
Split cage 28/5 in R2C14569 -> R2C1 = {13478}
2 of C1 locked in Cage 16/3 in R89C1+R9C2 or Split cage 22/5 in R46C13+R5C3 -> 5 also locked in Cage 16/3 in R89C1+R9C2 or Split cage 22/5 in R46C13+R5C3 -> R456C2 <> 5
2 of C1 locked in Cage 16/3 in R89C1+R9C2 or Complex cage 7/2 in R6C1+R9C4 -> 5 also locked in Cage 16/3 in R89C1+R9C2 or Complex cage 7/2 in R6C1+R9C4 -> R9C589 <> 5
Cage 16/3 in R89C9+R9C8 -> R8C9 = {23568}
Complex cage 4/3 in R8C19-R9C5 -> R9C5 = {123678}
All {4} of N9 are locked in Split cage 5/2 in R7C9+R9C7 -> Split cage 5/2 in R7C9+R9C7 = {4..}
Split cage 5/2 in R7C9+R9C7 -> R9C7 = {14}, R7C9 = {14}
Cage 5/2 in R9C67 = {14} (Naked Pair in R9)
Split cage 5/2 in R7C9+R9C7 = {14} (Naked Pair in N9)
Complex cage 9/2 in R6C9+R9C6 -> R6C9 = {58}
Cage 12/2 in R9C34 -> R9C3 = {79}
R19C3 forms a naked Pair on {79} within C3 -> not elsewhere in C3
8 of C3 locked in R456C3 -> not elsewhere in N4
Complex cage 5/2 in R9C3-R6C1 -> R6C1 = {24}
Split cage 15/2 in R7C1+R9C3 -> R7C1 = {68}
R37C1 forms a naked Pair on {68} within C1 -> not elsewhere in C1
7 of N7 locked in R9C13 -> not elsewhere in R9
Cage 16/3 in R89C1+R9C2 -> R8C1 = {124}
9 of N7 locked in R9C123 -> not elsewhere in R9
Cage 16/3 in R89C9+R9C8 -> R8C9 = {2568}
Complex cage 2/3 in R19C8-R5C9 -> R5C9 = {134679}
Complex cage 4/3 in R19C2-R5C1 -> R5C1 = {34579}
All {7} of N9 are locked in Cage 24/4 in R78C78 -> Cage 24/4 in R78C78 = {7..}
All {9} of N9 are locked in Cage 24/4 in R78C78 -> Cage 24/4 in R78C78 = {9..}
Cage 24/4 in R78C78 -> R8C8 = {235679}, R8C7 = {235679}, R7C8 = {235679}, R7C7 = {235679}
All {8} of C7 are locked in Complex cage 26/5 in R1456C7+R6C9 -> Complex cage 26/5 in R1456C7+R6C9 = {8..}
Complex cage 26/5 in R1456C7+R6C9 -> R6C7 = {123456}, R5C7 = {123456}, R4C7 = {123456}, R1C7 = 8
R1C7 = 8
R1C6 = 2
R3C9 = 2
R4C9 = 7
Complex cage 2/3 in R19C8-R5C9 -> R9C8 = {28}
Cage 18/3 in R6C67+R7C6 -> R7C6 = {3456789}, R6C6 = {3456789}
All {2} of N1 are locked in Split cage 17/4 in R2C2378 -> Split cage 17/4 in R2C2378 = {2..}
Split cage 17/4 in R2C2378 -> R2C8 = {14569}, R2C7 = {1569}, R2C3 = {12456}, R2C2 = {1245689}
7 of N3 locked in R3C78 -> not elsewhere in R3
Split cage 23/4 in R3C2378 -> R3C3 = {1346}, R3C2 = {134689}
7 of C2 locked in R56C2 -> not elsewhere in N4
All {7} of N4 are locked in Split cage 27/5 in R14569C2 -> Split cage 27/5 in R14569C2 = {7..}
All {9} of N6 are locked in Cage 20/4 in R456C8+R5C9 -> Cage 20/4 in R456C8+R5C9 = {9..}
All {7} of C8 are locked in Split cage 23/4 in R2378C8 -> Split cage 23/4 in R2378C8 = {7..}
All {8} of C8 are locked in Split cage 22/5 in R14569C8 -> Split cage 22/5 in R14569C8 = {8..}
Split cage 22/5 in R14569C8 -> R6C8 = {1234568}, R5C8 = {1234568}, R4C8 = {1234568}
R5C9 = 9 (hidden single in N6)
R9C1 = 9 (hidden single in C1)
R1C3 = 9 (hidden single in C3)
R1C4 = 7
R1C8 = 3
R2C1 = 7
R3C1 = 6
R4C1 = 5
R6C1 = 2
R7C1 = 8
R8C1 = 1
R8C9 = 5
R9C2 = 6
R9C3 = 7
R9C5 = 2
R9C8 = 8
R9C9 = 3
R1C1 = 4
R1C2 = 1
R1C5 = 5
R1C9 = 6
R2C9 = 4
R5C1 = 3
R6C9 = 8
R9C4 = 5
R3C3 = 3
R7C9 = 1
R9C6 = 1
R9C7 = 4
R3C2 = 8
R7C2 = 3 (hidden single in R7)
R2C2 = 5
R7C3 = 5
R8C2 = 2
R8C3 = 4
R2C3 = 2
R8C4 = 9 (hidden single in C4)
R4C4 = 2 (hidden single in N5)
R5C7 = 2 (hidden single in Cage 45/9 in R3..7C5+R5C3467)
R7C8 = 2 (hidden single in N9)
R2C8 = 9
R3C4 = 1
R3C8 = 5
R4C3 = 8
R4C7 = 3
R6C7 = 5
R7C7 = 9
R8C8 = 7
R2C7 = 1
R3C7 = 7
R5C3 = 6
R6C3 = 1
R8C7 = 6
R2C4 = 3
R5C4 = 8
R5C6 = 5 (hidden single in N5)
R2C6 = 8
R8C6 = 3
R2C5 = 6
R8C5 = 8
R6C5 = 3 (hidden single in N5)
R7C5 = 7
R6C6 = 7 (hidden single in N5)
R5C2 = 7 (hidden single in R5)
R4C2 = 4
R6C2 = 9
R7C6 = 6
R3C5 = 9
R4C5 = 1
R4C6 = 9
R4C8 = 6
R6C8 = 4
R7C4 = 4
R3C6 = 4
R5C5 = 4
R5C8 = 1
R6C4 = 6
The grid is solved!
Thanks for the update, Jean-Christophe! I'm sure it will provide us all with hours of endless fun, as I'm sure the upcoming SudokuSolver version will, too. I am constantly amazed that you and Richard are obviously able to invest so much time and energy into your software. Keep up the great work, both of you!