Analysis of xx-ph-00014406-kz1a-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6...8.7....7..5....7..4..3..2......1..65..8....89..6......1...2.....3.4. initial

Autosolve

position: 98.7.....6...8.7....7..5....7..4..3..2......1..65..8....89..6......1...2.....3.4. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000018

List of important HDP chains detected for G5,I6: 4..:

* DIS # I6: 4 # G4: 5,9 => CTR => G4: 2
* DIS # I6: 4 + G4: 2 # G8: 5,9 => CTR => G8: 3
* DIS # I6: 4 + G4: 2 + G8: 3 # G9: 1 => CTR => G9: 5,9
* DIS # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 # C5: 5,9 => CTR => C5: 3,4
* DIS # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 # A3: 1,4 => CTR => A3: 2,3
* DIS # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 + A3: 2,3 # D3: 1,4 => CTR => D3: 2,3,6
* PRF # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 + A3: 2,3 + D3: 2,3,6 # A5: 5,8 => SOL
* STA # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 + A3: 2,3 + D3: 2,3,6 + A5: 5,8
* CNT   7 HDP CHAINS /  26 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Details

This sudoku is deep. Here is some information that may be helpful on how to proceed.

Positions

98.7.....6...8.7....7..5....7..4..3..2......1..65..8....89..6......1...2.....3.4. initial
98.7.....6...8.7....7..5....7..4..3..2......1..65..8....89..6......1...2.....3.4. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
H7,G9: 1.. / H7 = 1  =>  1 pairs (_) / G9 = 1  =>  1 pairs (_)
G4,H6: 2.. / G4 = 2  =>  1 pairs (_) / H6 = 2  =>  1 pairs (_)
I7,G8: 3.. / I7 = 3  =>  1 pairs (_) / G8 = 3  =>  1 pairs (_)
G5,I6: 4.. / G5 = 4  =>  1 pairs (_) / I6 = 4  =>  3 pairs (_)
E7,E9: 5.. / E7 = 5  =>  2 pairs (_) / E9 = 5  =>  2 pairs (_)
I4,H5: 6.. / I4 = 6  =>  0 pairs (_) / H5 = 6  =>  2 pairs (_)
B8,B9: 6.. / B8 = 6  =>  1 pairs (_) / B9 = 6  =>  1 pairs (_)
H3,I3: 8.. / H3 = 8  =>  1 pairs (_) / I3 = 8  =>  2 pairs (_)
A4,A5: 8.. / A4 = 8  =>  0 pairs (_) / A5 = 8  =>  2 pairs (_)
H8,I9: 8.. / H8 = 8  =>  2 pairs (_) / I9 = 8  =>  1 pairs (_)
D9,I9: 8.. / D9 = 8  =>  2 pairs (_) / I9 = 8  =>  1 pairs (_)
H3,H8: 8.. / H3 = 8  =>  1 pairs (_) / H8 = 8  =>  2 pairs (_)
I3,I9: 8.. / I3 = 8  =>  2 pairs (_) / I9 = 8  =>  1 pairs (_)
F2,E3: 9.. / F2 = 9  =>  0 pairs (_) / E3 = 9  =>  0 pairs (_)
* DURATION: 0:00:09.760730  START: 02:20:42.104572  END: 02:20:51.865302 2020-12-03
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G5,I6: 4.. / G5 = 4  =>  0 pairs (X) / I6 = 4 ==>  0 pairs (*)
* DURATION: 0:00:25.942287  START: 02:20:51.865971  END: 02:21:17.808258 2020-12-03
* REASONING G5,I6: 4..
* DIS # I6: 4 # G4: 5,9 => CTR => G4: 2
* DIS # I6: 4 + G4: 2 # G8: 5,9 => CTR => G8: 3
* DIS # I6: 4 + G4: 2 + G8: 3 # G9: 1 => CTR => G9: 5,9
* DIS # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 # C5: 5,9 => CTR => C5: 3,4
* DIS # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 # A3: 1,4 => CTR => A3: 2,3
* DIS # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 + A3: 2,3 # D3: 1,4 => CTR => D3: 2,3,6
* PRF # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 + A3: 2,3 + D3: 2,3,6 # A5: 5,8 => SOL
* STA # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 + A3: 2,3 + D3: 2,3,6 + A5: 5,8
* CNT   7 HDP CHAINS /  26 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

14406;kz1a;GP;23;11.30;11.30;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G5,I6: 4..:

* INC # I6: 4 # B6: 1,3 => UNS
* INC # I6: 4 # B6: 9 => UNS
* INC # I6: 4 # A3: 1,3 => UNS
* INC # I6: 4 # A7: 1,3 => UNS
* DIS # I6: 4 # G4: 5,9 => CTR => G4: 2
* INC # I6: 4 + G4: 2 # I4: 5,9 => UNS
* INC # I6: 4 + G4: 2 # H5: 5,9 => UNS
* INC # I6: 4 + G4: 2 # C5: 5,9 => UNS
* INC # I6: 4 + G4: 2 # C5: 3,4 => UNS
* DIS # I6: 4 + G4: 2 # G8: 5,9 => CTR => G8: 3
* INC # I6: 4 + G4: 2 + G8: 3 # G9: 5,9 => UNS
* INC # I6: 4 + G4: 2 + G8: 3 # G9: 5,9 => UNS
* DIS # I6: 4 + G4: 2 + G8: 3 # G9: 1 => CTR => G9: 5,9
* INC # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 # I4: 5,9 => UNS
* INC # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 # H5: 5,9 => UNS
* DIS # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 # C5: 5,9 => CTR => C5: 3,4
* INC # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 # I4: 5,9 => UNS
* INC # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 # H5: 5,9 => UNS
* INC # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 # C1: 1,4 => UNS
* INC # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 # F1: 1,4 => UNS
* DIS # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 # A3: 1,4 => CTR => A3: 2,3
* INC # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 + A3: 2,3 # B3: 1,4 => UNS
* DIS # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 + A3: 2,3 # D3: 1,4 => CTR => D3: 2,3,6
* INC # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 + A3: 2,3 + D3: 2,3,6 # A5: 3,4 => UNS
* PRF # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 + A3: 2,3 + D3: 2,3,6 # A5: 5,8 => SOL
* STA # I6: 4 + G4: 2 + G8: 3 + G9: 5,9 + C5: 3,4 + A3: 2,3 + D3: 2,3,6 + A5: 5,8
* CNT  25 HDP CHAINS /  26 HYP OPENED