Analysis of xx-ph-00034842-12_05-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..5...8..7...7..6...4...3......68...5......42...1..2......96...8......83.1 initial

Autosolve

position: 98.7..6..56..8..7...7..6...4...3......68...5.....642...1..2......96...8......83.1 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for A9,H9: 6..:

* DIS # H9: 6 # H3: 1,9 => CTR => H3: 2,3,4
* CNT   1 HDP CHAINS /  35 HYP OPENED

List of important HDP chains detected for A7,A9: 6..:

* DIS # A7: 6 # H3: 1,9 => CTR => H3: 2,3,4
* CNT   1 HDP CHAINS /  35 HYP OPENED

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:47.028494

List of important HDP chains detected for A9,H9: 6..:

* DIS # H9: 6 # H3: 1,9 => CTR => H3: 2,3,4
* DIS # H9: 6 + H3: 2,3,4 # G5: 1,9 # C1: 2,4 => CTR => C1: 3
* DIS # H9: 6 + H3: 2,3,4 # G5: 1,9 + C1: 3 => CTR => G5: 4,7
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 # H6: 3 => CTR => H6: 1,9
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 # B8: 3,7 => CTR => B8: 4,5
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 # B9: 4,5 => CTR => B9: 2,7
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 + B9: 2,7 # A5: 2,7 => CTR => A5: 1
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 + B9: 2,7 + A5: 1 => CTR => H9: 2,4,9
* STA H9: 2,4,9
* CNT   8 HDP CHAINS /  47 HYP OPENED

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

Details

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

Positions

98.7..6..5...8..7...7..6...4...3......68...5......42...1..2......96...8......83.1 initial
98.7..6..56..8..7...7..6...4...3......68...5.....642...1..2......96...8......83.1 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E8,F8: 1.. / E8 = 1  =>  2 pairs (_) / F8 = 1  =>  0 pairs (_)
I8,H9: 2.. / I8 = 2  =>  1 pairs (_) / H9 = 2  =>  1 pairs (_)
G5,I5: 4.. / G5 = 4  =>  2 pairs (_) / I5 = 4  =>  0 pairs (_)
H4,I4: 6.. / H4 = 6  =>  1 pairs (_) / I4 = 6  =>  1 pairs (_)
A7,A9: 6.. / A7 = 6  =>  4 pairs (_) / A9 = 6  =>  0 pairs (_)
A9,H9: 6.. / A9 = 6  =>  0 pairs (_) / H9 = 6  =>  4 pairs (_)
I4,I7: 6.. / I4 = 6  =>  1 pairs (_) / I7 = 6  =>  1 pairs (_)
G3,I3: 8.. / G3 = 8  =>  0 pairs (_) / I3 = 8  =>  0 pairs (_)
A7,C7: 8.. / A7 = 8  =>  0 pairs (_) / C7 = 8  =>  0 pairs (_)
A6,A7: 8.. / A6 = 8  =>  0 pairs (_) / A7 = 8  =>  0 pairs (_)
G3,G4: 8.. / G3 = 8  =>  0 pairs (_) / G4 = 8  =>  0 pairs (_)
* DURATION: 0:00:09.971567  START: 06:34:29.897734  END: 06:34:39.869301 2020-12-15
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A9,H9: 6.. / A9 = 6 ==>  0 pairs (_) / H9 = 6 ==>  4 pairs (_)
A7,A9: 6.. / A7 = 6 ==>  4 pairs (_) / A9 = 6 ==>  0 pairs (_)
G5,I5: 4.. / G5 = 4 ==>  2 pairs (_) / I5 = 4 ==>  0 pairs (_)
E8,F8: 1.. / E8 = 1 ==>  2 pairs (_) / F8 = 1 ==>  0 pairs (_)
I4,I7: 6.. / I4 = 6 ==>  1 pairs (_) / I7 = 6 ==>  1 pairs (_)
H4,I4: 6.. / H4 = 6 ==>  1 pairs (_) / I4 = 6 ==>  1 pairs (_)
I8,H9: 2.. / I8 = 2 ==>  1 pairs (_) / H9 = 2 ==>  1 pairs (_)
G3,G4: 8.. / G3 = 8 ==>  0 pairs (_) / G4 = 8 ==>  0 pairs (_)
A6,A7: 8.. / A6 = 8 ==>  0 pairs (_) / A7 = 8 ==>  0 pairs (_)
A7,C7: 8.. / A7 = 8 ==>  0 pairs (_) / C7 = 8 ==>  0 pairs (_)
G3,I3: 8.. / G3 = 8 ==>  0 pairs (_) / I3 = 8 ==>  0 pairs (_)
* DURATION: 0:01:39.899447  START: 06:34:39.870020  END: 06:36:19.769467 2020-12-15
* REASONING A9,H9: 6..
* DIS # H9: 6 # H3: 1,9 => CTR => H3: 2,3,4
* CNT   1 HDP CHAINS /  35 HYP OPENED
* REASONING A7,A9: 6..
* DIS # A7: 6 # H3: 1,9 => CTR => H3: 2,3,4
* CNT   1 HDP CHAINS /  35 HYP OPENED
* DCP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
A9,H9: 6.. / A9 = 6  =>  0 pairs (_) / H9 = 6 ==>  0 pairs (X)
* DURATION: 0:00:47.025695  START: 06:36:19.915770  END: 06:37:06.941465 2020-12-15
* REASONING A9,H9: 6..
* DIS # H9: 6 # H3: 1,9 => CTR => H3: 2,3,4
* DIS # H9: 6 + H3: 2,3,4 # G5: 1,9 # C1: 2,4 => CTR => C1: 3
* DIS # H9: 6 + H3: 2,3,4 # G5: 1,9 + C1: 3 => CTR => G5: 4,7
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 # H6: 3 => CTR => H6: 1,9
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 # B8: 3,7 => CTR => B8: 4,5
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 # B9: 4,5 => CTR => B9: 2,7
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 + B9: 2,7 # A5: 2,7 => CTR => A5: 1
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 + B9: 2,7 + A5: 1 => CTR => H9: 2,4,9
* STA H9: 2,4,9
* CNT   8 HDP CHAINS /  47 HYP OPENED
* VDCP COUNT: (1)
* CLUE FOUND

Header Info

34842;12_05;GP;24;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A9,H9: 6..:

* INC # H9: 6 # G5: 1,9 => UNS
* INC # H9: 6 # H6: 1,9 => UNS
* INC # H9: 6 # D4: 1,9 => UNS
* INC # H9: 6 # F4: 1,9 => UNS
* DIS # H9: 6 # H3: 1,9 => CTR => H3: 2,3,4
* INC # H9: 6 + H3: 2,3,4 # G5: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # H6: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # D4: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # F4: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # B8: 3,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # B8: 4,5 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 3,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 1,2 => UNS
* INC # H9: 6 + H3: 2,3,4 # B9: 2,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # B9: 4,5 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 2,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 1,3 => UNS
* INC # H9: 6 + H3: 2,3,4 # G7: 4,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # I7: 4,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # G5: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # H6: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # D4: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # F4: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # B8: 3,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # B8: 4,5 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 3,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 1,2 => UNS
* INC # H9: 6 + H3: 2,3,4 # B9: 2,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # B9: 4,5 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 2,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 1,3 => UNS
* INC # H9: 6 + H3: 2,3,4 # G7: 4,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # I7: 4,9 => UNS
* INC # H9: 6 + H3: 2,3,4 => UNS
* INC # A9: 6 => UNS
* CNT  35 HDP CHAINS /  35 HYP OPENED

Full list of HDP chains traversed for A7,A9: 6..:

* INC # A7: 6 # G5: 1,9 => UNS
* INC # A7: 6 # H6: 1,9 => UNS
* INC # A7: 6 # D4: 1,9 => UNS
* INC # A7: 6 # F4: 1,9 => UNS
* DIS # A7: 6 # H3: 1,9 => CTR => H3: 2,3,4
* INC # A7: 6 + H3: 2,3,4 # G5: 1,9 => UNS
* INC # A7: 6 + H3: 2,3,4 # H6: 1,9 => UNS
* INC # A7: 6 + H3: 2,3,4 # D4: 1,9 => UNS
* INC # A7: 6 + H3: 2,3,4 # F4: 1,9 => UNS
* INC # A7: 6 + H3: 2,3,4 # B8: 3,7 => UNS
* INC # A7: 6 + H3: 2,3,4 # B8: 4,5 => UNS
* INC # A7: 6 + H3: 2,3,4 # A5: 3,7 => UNS
* INC # A7: 6 + H3: 2,3,4 # A5: 1,2 => UNS
* INC # A7: 6 + H3: 2,3,4 # B9: 2,7 => UNS
* INC # A7: 6 + H3: 2,3,4 # B9: 4,5 => UNS
* INC # A7: 6 + H3: 2,3,4 # A5: 2,7 => UNS
* INC # A7: 6 + H3: 2,3,4 # A5: 1,3 => UNS
* INC # A7: 6 + H3: 2,3,4 # G7: 4,9 => UNS
* INC # A7: 6 + H3: 2,3,4 # I7: 4,9 => UNS
* INC # A7: 6 + H3: 2,3,4 # G5: 1,9 => UNS
* INC # A7: 6 + H3: 2,3,4 # H6: 1,9 => UNS
* INC # A7: 6 + H3: 2,3,4 # D4: 1,9 => UNS
* INC # A7: 6 + H3: 2,3,4 # F4: 1,9 => UNS
* INC # A7: 6 + H3: 2,3,4 # B8: 3,7 => UNS
* INC # A7: 6 + H3: 2,3,4 # B8: 4,5 => UNS
* INC # A7: 6 + H3: 2,3,4 # A5: 3,7 => UNS
* INC # A7: 6 + H3: 2,3,4 # A5: 1,2 => UNS
* INC # A7: 6 + H3: 2,3,4 # B9: 2,7 => UNS
* INC # A7: 6 + H3: 2,3,4 # B9: 4,5 => UNS
* INC # A7: 6 + H3: 2,3,4 # A5: 2,7 => UNS
* INC # A7: 6 + H3: 2,3,4 # A5: 1,3 => UNS
* INC # A7: 6 + H3: 2,3,4 # G7: 4,9 => UNS
* INC # A7: 6 + H3: 2,3,4 # I7: 4,9 => UNS
* INC # A7: 6 + H3: 2,3,4 => UNS
* INC # A9: 6 => UNS
* CNT  35 HDP CHAINS /  35 HYP OPENED

Full list of HDP chains traversed for G5,I5: 4..:

* INC # G5: 4 # G3: 1,9 => UNS
* INC # G5: 4 # H3: 1,9 => UNS
* INC # G5: 4 # D2: 1,9 => UNS
* INC # G5: 4 # F2: 1,9 => UNS
* INC # G5: 4 # G4: 1,9 => UNS
* INC # G5: 4 # G4: 7,8 => UNS
* INC # G5: 4 # G7: 5,7 => UNS
* INC # G5: 4 # I7: 5,7 => UNS
* INC # G5: 4 # I8: 5,7 => UNS
* INC # G5: 4 # B8: 5,7 => UNS
* INC # G5: 4 # E8: 5,7 => UNS
* INC # G5: 4 # F8: 5,7 => UNS
* INC # G5: 4 => UNS
* INC # I5: 4 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for E8,F8: 1..:

* INC # E8: 1 # D3: 4,5 => UNS
* INC # E8: 1 # E3: 4,5 => UNS
* INC # E8: 1 # I1: 4,5 => UNS
* INC # E8: 1 # I1: 2,3 => UNS
* INC # E8: 1 # E9: 4,5 => UNS
* INC # E8: 1 # E9: 7,9 => UNS
* INC # E8: 1 # F4: 7,9 => UNS
* INC # E8: 1 # F5: 7,9 => UNS
* INC # E8: 1 # B5: 7,9 => UNS
* INC # E8: 1 # G5: 7,9 => UNS
* INC # E8: 1 # I5: 7,9 => UNS
* INC # E8: 1 # E9: 7,9 => UNS
* INC # E8: 1 # E9: 4,5 => UNS
* INC # E8: 1 => UNS
* INC # F8: 1 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for I4,I7: 6..:

* INC # I4: 6 # G4: 1,9 => UNS
* INC # I4: 6 # G5: 1,9 => UNS
* INC # I4: 6 # H6: 1,9 => UNS
* INC # I4: 6 # D4: 1,9 => UNS
* INC # I4: 6 # F4: 1,9 => UNS
* INC # I4: 6 # H3: 1,9 => UNS
* INC # I4: 6 # H3: 2,3,4 => UNS
* INC # I4: 6 => UNS
* INC # I7: 6 # G7: 4,9 => UNS
* INC # I7: 6 # H9: 4,9 => UNS
* INC # I7: 6 # D7: 4,9 => UNS
* INC # I7: 6 # D7: 3,5 => UNS
* INC # I7: 6 # H3: 4,9 => UNS
* INC # I7: 6 # H3: 1,2,3 => UNS
* INC # I7: 6 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for H4,I4: 6..:

* INC # H4: 6 # G7: 4,9 => UNS
* INC # H4: 6 # H9: 4,9 => UNS
* INC # H4: 6 # D7: 4,9 => UNS
* INC # H4: 6 # D7: 3,5 => UNS
* INC # H4: 6 # H3: 4,9 => UNS
* INC # H4: 6 # H3: 1,2,3 => UNS
* INC # H4: 6 => UNS
* INC # I4: 6 # G4: 1,9 => UNS
* INC # I4: 6 # G5: 1,9 => UNS
* INC # I4: 6 # H6: 1,9 => UNS
* INC # I4: 6 # D4: 1,9 => UNS
* INC # I4: 6 # F4: 1,9 => UNS
* INC # I4: 6 # H3: 1,9 => UNS
* INC # I4: 6 # H3: 2,3,4 => UNS
* INC # I4: 6 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for I8,H9: 2..:

* INC # I8: 2 # A7: 3,7 => UNS
* INC # I8: 2 # B8: 3,7 => UNS
* INC # I8: 2 # F8: 3,7 => UNS
* INC # I8: 2 # F8: 1,5 => UNS
* INC # I8: 2 # A5: 3,7 => UNS
* INC # I8: 2 # A6: 3,7 => UNS
* INC # I8: 2 => UNS
* INC # H9: 2 # C7: 4,5 => UNS
* INC # H9: 2 # B8: 4,5 => UNS
* INC # H9: 2 # B9: 4,5 => UNS
* INC # H9: 2 # D9: 4,5 => UNS
* INC # H9: 2 # E9: 4,5 => UNS
* INC # H9: 2 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for G3,G4: 8..:

* INC # G3: 8 => UNS
* INC # G4: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A6,A7: 8..:

* INC # A6: 8 => UNS
* INC # A7: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A7,C7: 8..:

* INC # A7: 8 => UNS
* INC # C7: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for G3,I3: 8..:

* INC # G3: 8 => UNS
* INC # I3: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for A9,H9: 6..:

* INC # H9: 6 # G5: 1,9 => UNS
* INC # H9: 6 # H6: 1,9 => UNS
* INC # H9: 6 # D4: 1,9 => UNS
* INC # H9: 6 # F4: 1,9 => UNS
* DIS # H9: 6 # H3: 1,9 => CTR => H3: 2,3,4
* INC # H9: 6 + H3: 2,3,4 # G5: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # H6: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # D4: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # F4: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # B8: 3,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # B8: 4,5 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 3,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 1,2 => UNS
* INC # H9: 6 + H3: 2,3,4 # B9: 2,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # B9: 4,5 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 2,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 1,3 => UNS
* INC # H9: 6 + H3: 2,3,4 # G7: 4,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # I7: 4,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # G5: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # H6: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # D4: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # F4: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # B8: 3,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # B8: 4,5 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 3,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 1,2 => UNS
* INC # H9: 6 + H3: 2,3,4 # B9: 2,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # B9: 4,5 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 2,7 => UNS
* INC # H9: 6 + H3: 2,3,4 # A5: 1,3 => UNS
* INC # H9: 6 + H3: 2,3,4 # G7: 4,9 => UNS
* INC # H9: 6 + H3: 2,3,4 # I7: 4,9 => UNS
* DIS # H9: 6 + H3: 2,3,4 # G5: 1,9 # C1: 2,4 => CTR => C1: 3
* DIS # H9: 6 + H3: 2,3,4 # G5: 1,9 + C1: 3 => CTR => G5: 4,7
* INC # H9: 6 + H3: 2,3,4 + G5: 4,7 # H6: 1,9 => UNS
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 # H6: 3 => CTR => H6: 1,9
* INC # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 # D4: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 # F4: 1,9 => UNS
* INC # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 # I5: 4,7 => UNS
* INC # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 # I5: 3 => UNS
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 # B8: 3,7 => CTR => B8: 4,5
* INC # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 # B9: 2,7 => UNS
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 # B9: 4,5 => CTR => B9: 2,7
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 + B9: 2,7 # A5: 2,7 => CTR => A5: 1
* DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 + B9: 2,7 + A5: 1 => CTR => H9: 2,4,9
* INC H9: 2,4,9 # A9: 6 => UNS
* STA H9: 2,4,9
* CNT  47 HDP CHAINS /  47 HYP OPENED