Analysis of xx-ph-00748737-12_12_19-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: .......12.....3..4..4.2.5....5.6...1.7....6..8..9....5..6.4..5..9...8...3..7..... initial

Autosolve

position: .......12.....3..4..4.2.5....5.6...1.7....6..86.9....5..6.4..5..9...8...3..7..... autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.160318

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: 0:00:00.000017

List of important HDP chains detected for A7,C8: 7..:

* DIS # A7: 7 # C2: 1,2 => CTR => C2: 7,8,9
* CNT   1 HDP CHAINS /  34 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: 0:00:34.571259

List of important HDP chains detected for B7,C9: 8..:

* DIS # B7: 8 # C8: 1,2 # E1: 5,9 => CTR => E1: 7,8
* DIS # B7: 8 # C8: 1,2 + E1: 7,8 # E2: 7,8 => CTR => E2: 5,9
* DIS # B7: 8 # C8: 1,2 + E1: 7,8 + E2: 5,9 => CTR => C8: 7
* DIS # B7: 8 + C8: 7 # F9: 1,2 # D2: 1,8 => CTR => D2: 5
* DIS # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 # E2: 7,9 => CTR => E2: 1,8
* PRF # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 + E2: 1,8 # D5: 1,8 => SOL
* STA # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 + E2: 1,8 + D5: 1,8
* CNT   6 HDP CHAINS /  48 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

.......12.....3..4..4.2.5....5.6...1.7....6..8..9....5..6.4..5..9...8...3..7..... initial
.......12.....3..4..4.2.5....5.6...1.7....6..86.9....5..6.4..5..9...8...3..7..... autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
A8: 4,5
B9: 4,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D1,F1: 4.. / D1 = 4  =>  2 pairs (_) / F1 = 4  =>  3 pairs (_)
A8,B9: 4.. / A8 = 4  =>  4 pairs (_) / B9 = 4  =>  2 pairs (_)
B4,B9: 4.. / B4 = 4  =>  4 pairs (_) / B9 = 4  =>  2 pairs (_)
A8,B9: 5.. / A8 = 5  =>  2 pairs (_) / B9 = 5  =>  4 pairs (_)
D8,F9: 6.. / D8 = 6  =>  4 pairs (_) / F9 = 6  =>  3 pairs (_)
A7,C8: 7.. / A7 = 7  =>  3 pairs (_) / C8 = 7  =>  4 pairs (_)
B7,C9: 8.. / B7 = 8  =>  5 pairs (_) / C9 = 8  =>  4 pairs (_)
* DURATION: 0:00:04.665968  START: 11:06:36.687866  END: 11:06:41.353834 2020-12-31
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B7,C9: 8.. / B7 = 8 ==>  5 pairs (_) / C9 = 8 ==>  4 pairs (_)
A7,C8: 7.. / A7 = 7 ==>  3 pairs (_) / C8 = 7 ==>  4 pairs (_)
D8,F9: 6.. / D8 = 6 ==>  4 pairs (_) / F9 = 6 ==>  3 pairs (_)
A8,B9: 5.. / A8 = 5 ==>  2 pairs (_) / B9 = 5 ==>  4 pairs (_)
B4,B9: 4.. / B4 = 4 ==>  4 pairs (_) / B9 = 4 ==>  2 pairs (_)
A8,B9: 4.. / A8 = 4 ==>  4 pairs (_) / B9 = 4 ==>  2 pairs (_)
D1,F1: 4.. / D1 = 4 ==>  2 pairs (_) / F1 = 4 ==>  3 pairs (_)
* DURATION: 0:01:21.769197  START: 11:06:42.058396  END: 11:08:03.827593 2020-12-31
* REASONING A7,C8: 7..
* DIS # A7: 7 # C2: 1,2 => CTR => C2: 7,8,9
* CNT   1 HDP CHAINS /  34 HYP OPENED
* DCP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
B7,C9: 8.. / B7 = 8 ==>  0 pairs (*) / C9 = 8  =>  0 pairs (X)
* DURATION: 0:00:34.568001  START: 11:08:03.923760  END: 11:08:38.491761 2020-12-31
* REASONING B7,C9: 8..
* DIS # B7: 8 # C8: 1,2 # E1: 5,9 => CTR => E1: 7,8
* DIS # B7: 8 # C8: 1,2 + E1: 7,8 # E2: 7,8 => CTR => E2: 5,9
* DIS # B7: 8 # C8: 1,2 + E1: 7,8 + E2: 5,9 => CTR => C8: 7
* DIS # B7: 8 + C8: 7 # F9: 1,2 # D2: 1,8 => CTR => D2: 5
* DIS # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 # E2: 7,9 => CTR => E2: 1,8
* PRF # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 + E2: 1,8 # D5: 1,8 => SOL
* STA # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 + E2: 1,8 + D5: 1,8
* CNT   6 HDP CHAINS /  48 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

748737;12_12_19;dob;22;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B7,C9: 8..:

* INC # B7: 8 # A7: 1,2 => UNS
* INC # B7: 8 # C8: 1,2 => UNS
* INC # B7: 8 # F9: 1,2 => UNS
* INC # B7: 8 # G9: 1,2 => UNS
* INC # B7: 8 # C5: 1,2 => UNS
* INC # B7: 8 # C6: 1,2 => UNS
* INC # B7: 8 => UNS
* INC # C9: 8 # A7: 1,2 => UNS
* INC # C9: 8 # C8: 1,2 => UNS
* INC # C9: 8 # D7: 1,2 => UNS
* INC # C9: 8 # F7: 1,2 => UNS
* INC # C9: 8 # G7: 1,2 => UNS
* INC # C9: 8 # B2: 1,2 => UNS
* INC # C9: 8 # B2: 5,8 => UNS
* INC # C9: 8 # H9: 6,9 => UNS
* INC # C9: 8 # H9: 2,4 => UNS
* INC # C9: 8 # F9: 6,9 => UNS
* INC # C9: 8 # F9: 1,2,5 => UNS
* INC # C9: 8 # I3: 6,9 => UNS
* INC # C9: 8 # I3: 3,7,8 => UNS
* INC # C9: 8 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for A7,C8: 7..:

* INC # C8: 7 # B7: 1,2 => UNS
* INC # C8: 7 # C9: 1,2 => UNS
* INC # C8: 7 # D7: 1,2 => UNS
* INC # C8: 7 # F7: 1,2 => UNS
* INC # C8: 7 # G7: 1,2 => UNS
* INC # C8: 7 # A2: 1,2 => UNS
* INC # C8: 7 # A5: 1,2 => UNS
* INC # C8: 7 # H8: 3,6 => UNS
* INC # C8: 7 # H8: 2,4 => UNS
* INC # C8: 7 # D8: 3,6 => UNS
* INC # C8: 7 # D8: 1,2,5 => UNS
* INC # C8: 7 # I3: 3,6 => UNS
* INC # C8: 7 # I3: 7,8,9 => UNS
* INC # C8: 7 => UNS
* INC # A7: 7 # B7: 1,2 => UNS
* INC # A7: 7 # C9: 1,2 => UNS
* INC # A7: 7 # D8: 1,2 => UNS
* INC # A7: 7 # G8: 1,2 => UNS
* DIS # A7: 7 # C2: 1,2 => CTR => C2: 7,8,9
* INC # A7: 7 + C2: 7,8,9 # C5: 1,2 => UNS
* INC # A7: 7 + C2: 7,8,9 # C6: 1,2 => UNS
* INC # A7: 7 + C2: 7,8,9 # B7: 1,2 => UNS
* INC # A7: 7 + C2: 7,8,9 # C9: 1,2 => UNS
* INC # A7: 7 + C2: 7,8,9 # D8: 1,2 => UNS
* INC # A7: 7 + C2: 7,8,9 # G8: 1,2 => UNS
* INC # A7: 7 + C2: 7,8,9 # C5: 1,2 => UNS
* INC # A7: 7 + C2: 7,8,9 # C6: 1,2 => UNS
* INC # A7: 7 + C2: 7,8,9 # B7: 1,2 => UNS
* INC # A7: 7 + C2: 7,8,9 # C9: 1,2 => UNS
* INC # A7: 7 + C2: 7,8,9 # D8: 1,2 => UNS
* INC # A7: 7 + C2: 7,8,9 # G8: 1,2 => UNS
* INC # A7: 7 + C2: 7,8,9 # C5: 1,2 => UNS
* INC # A7: 7 + C2: 7,8,9 # C6: 1,2 => UNS
* INC # A7: 7 + C2: 7,8,9 => UNS
* CNT  34 HDP CHAINS /  34 HYP OPENED

Full list of HDP chains traversed for D8,F9: 6..:

* INC # D8: 6 # D2: 1,8 => UNS
* INC # D8: 6 # E2: 1,8 => UNS
* INC # D8: 6 # B3: 1,8 => UNS
* INC # D8: 6 # B3: 3 => UNS
* INC # D8: 6 # D5: 1,8 => UNS
* INC # D8: 6 # D5: 2,3,4,5 => UNS
* INC # D8: 6 # G7: 3,7 => UNS
* INC # D8: 6 # I7: 3,7 => UNS
* INC # D8: 6 # G8: 3,7 => UNS
* INC # D8: 6 # H8: 3,7 => UNS
* INC # D8: 6 # I3: 3,7 => UNS
* INC # D8: 6 # I3: 6,8,9 => UNS
* INC # D8: 6 => UNS
* INC # F9: 6 # G7: 8,9 => UNS
* INC # F9: 6 # I7: 8,9 => UNS
* INC # F9: 6 # G9: 8,9 => UNS
* INC # F9: 6 # H9: 8,9 => UNS
* INC # F9: 6 # I3: 8,9 => UNS
* INC # F9: 6 # I5: 8,9 => UNS
* INC # F9: 6 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for A8,B9: 5..:

* INC # B9: 5 # B3: 3,8 => UNS
* INC # B9: 5 # B3: 1 => UNS
* INC # B9: 5 # G1: 3,8 => UNS
* INC # B9: 5 # G1: 7,9 => UNS
* INC # B9: 5 # A5: 2,9 => UNS
* INC # B9: 5 # C5: 2,9 => UNS
* INC # B9: 5 # G4: 2,9 => UNS
* INC # B9: 5 # H4: 2,9 => UNS
* INC # B9: 5 # A2: 2,9 => UNS
* INC # B9: 5 # A2: 1,5,6,7 => UNS
* INC # B9: 5 # F6: 2,7 => UNS
* INC # B9: 5 # F6: 1,4 => UNS
* INC # B9: 5 # G4: 2,7 => UNS
* INC # B9: 5 # H4: 2,7 => UNS
* INC # B9: 5 # F7: 1,9 => UNS
* INC # B9: 5 # F9: 1,9 => UNS
* INC # B9: 5 # G9: 1,9 => UNS
* INC # B9: 5 # G9: 2,4,8 => UNS
* INC # B9: 5 # E2: 1,9 => UNS
* INC # B9: 5 # E2: 5,7,8 => UNS
* INC # B9: 5 => UNS
* INC # A8: 5 # C5: 2,3 => UNS
* INC # A8: 5 # C6: 2,3 => UNS
* INC # A8: 5 # D4: 2,3 => UNS
* INC # A8: 5 # G4: 2,3 => UNS
* INC # A8: 5 # H4: 2,3 => UNS
* INC # A8: 5 # D7: 1,3 => UNS
* INC # A8: 5 # D8: 1,3 => UNS
* INC # A8: 5 # G8: 1,3 => UNS
* INC # A8: 5 # G8: 2,4,7 => UNS
* INC # A8: 5 # E5: 1,3 => UNS
* INC # A8: 5 # E6: 1,3 => UNS
* INC # A8: 5 => UNS
* CNT  33 HDP CHAINS /  33 HYP OPENED

Full list of HDP chains traversed for B4,B9: 4..:

* INC # B4: 4 # B3: 3,8 => UNS
* INC # B4: 4 # B3: 1 => UNS
* INC # B4: 4 # G1: 3,8 => UNS
* INC # B4: 4 # G1: 7,9 => UNS
* INC # B4: 4 # A5: 2,9 => UNS
* INC # B4: 4 # C5: 2,9 => UNS
* INC # B4: 4 # G4: 2,9 => UNS
* INC # B4: 4 # H4: 2,9 => UNS
* INC # B4: 4 # A2: 2,9 => UNS
* INC # B4: 4 # A2: 1,5,6,7 => UNS
* INC # B4: 4 # F6: 2,7 => UNS
* INC # B4: 4 # F6: 1,4 => UNS
* INC # B4: 4 # G4: 2,7 => UNS
* INC # B4: 4 # H4: 2,7 => UNS
* INC # B4: 4 # F7: 1,9 => UNS
* INC # B4: 4 # F9: 1,9 => UNS
* INC # B4: 4 # G9: 1,9 => UNS
* INC # B4: 4 # G9: 2,4,8 => UNS
* INC # B4: 4 # E2: 1,9 => UNS
* INC # B4: 4 # E2: 5,7,8 => UNS
* INC # B4: 4 => UNS
* INC # B9: 4 # C5: 2,3 => UNS
* INC # B9: 4 # C6: 2,3 => UNS
* INC # B9: 4 # D4: 2,3 => UNS
* INC # B9: 4 # G4: 2,3 => UNS
* INC # B9: 4 # H4: 2,3 => UNS
* INC # B9: 4 # D7: 1,3 => UNS
* INC # B9: 4 # D8: 1,3 => UNS
* INC # B9: 4 # G8: 1,3 => UNS
* INC # B9: 4 # G8: 2,4,7 => UNS
* INC # B9: 4 # E5: 1,3 => UNS
* INC # B9: 4 # E6: 1,3 => UNS
* INC # B9: 4 => UNS
* CNT  33 HDP CHAINS /  33 HYP OPENED

Full list of HDP chains traversed for A8,B9: 4..:

* INC # A8: 4 # B3: 3,8 => UNS
* INC # A8: 4 # B3: 1 => UNS
* INC # A8: 4 # G1: 3,8 => UNS
* INC # A8: 4 # G1: 7,9 => UNS
* INC # A8: 4 # A5: 2,9 => UNS
* INC # A8: 4 # C5: 2,9 => UNS
* INC # A8: 4 # G4: 2,9 => UNS
* INC # A8: 4 # H4: 2,9 => UNS
* INC # A8: 4 # A2: 2,9 => UNS
* INC # A8: 4 # A2: 1,5,6,7 => UNS
* INC # A8: 4 # F6: 2,7 => UNS
* INC # A8: 4 # F6: 1,4 => UNS
* INC # A8: 4 # G4: 2,7 => UNS
* INC # A8: 4 # H4: 2,7 => UNS
* INC # A8: 4 # F7: 1,9 => UNS
* INC # A8: 4 # F9: 1,9 => UNS
* INC # A8: 4 # G9: 1,9 => UNS
* INC # A8: 4 # G9: 2,4,8 => UNS
* INC # A8: 4 # E2: 1,9 => UNS
* INC # A8: 4 # E2: 5,7,8 => UNS
* INC # A8: 4 => UNS
* INC # B9: 4 # C5: 2,3 => UNS
* INC # B9: 4 # C6: 2,3 => UNS
* INC # B9: 4 # D4: 2,3 => UNS
* INC # B9: 4 # G4: 2,3 => UNS
* INC # B9: 4 # H4: 2,3 => UNS
* INC # B9: 4 # D7: 1,3 => UNS
* INC # B9: 4 # D8: 1,3 => UNS
* INC # B9: 4 # G8: 1,3 => UNS
* INC # B9: 4 # G8: 2,4,7 => UNS
* INC # B9: 4 # E5: 1,3 => UNS
* INC # B9: 4 # E6: 1,3 => UNS
* INC # B9: 4 => UNS
* CNT  33 HDP CHAINS /  33 HYP OPENED

Full list of HDP chains traversed for D1,F1: 4..:

* INC # F1: 4 # F6: 2,7 => UNS
* INC # F1: 4 # F6: 1 => UNS
* INC # F1: 4 # G4: 2,7 => UNS
* INC # F1: 4 # H4: 2,7 => UNS
* INC # F1: 4 => UNS
* INC # D1: 4 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for B7,C9: 8..:

* INC # B7: 8 # A7: 1,2 => UNS
* INC # B7: 8 # C8: 1,2 => UNS
* INC # B7: 8 # F9: 1,2 => UNS
* INC # B7: 8 # G9: 1,2 => UNS
* INC # B7: 8 # C5: 1,2 => UNS
* INC # B7: 8 # C6: 1,2 => UNS
* INC # B7: 8 # A7: 1,2 # D7: 1,2 => UNS
* INC # B7: 8 # A7: 1,2 # F7: 1,2 => UNS
* INC # B7: 8 # A7: 1,2 # G7: 1,2 => UNS
* INC # B7: 8 # A7: 1,2 # A5: 1,2 => UNS
* INC # B7: 8 # A7: 1,2 # A5: 4,9 => UNS
* INC # B7: 8 # A7: 1,2 # F9: 1,2 => UNS
* INC # B7: 8 # A7: 1,2 # G9: 1,2 => UNS
* INC # B7: 8 # A7: 1,2 # C5: 1,2 => UNS
* INC # B7: 8 # A7: 1,2 # C6: 1,2 => UNS
* INC # B7: 8 # A7: 1,2 # H8: 3,6 => UNS
* INC # B7: 8 # A7: 1,2 # H8: 2,4 => UNS
* INC # B7: 8 # A7: 1,2 # D8: 3,6 => UNS
* INC # B7: 8 # A7: 1,2 # D8: 1,2,5 => UNS
* INC # B7: 8 # A7: 1,2 # I3: 3,6 => UNS
* INC # B7: 8 # A7: 1,2 # I3: 7,8,9 => UNS
* INC # B7: 8 # A7: 1,2 => UNS
* INC # B7: 8 # C8: 1,2 # E1: 7,8 => UNS
* DIS # B7: 8 # C8: 1,2 # E1: 5,9 => CTR => E1: 7,8
* DIS # B7: 8 # C8: 1,2 + E1: 7,8 # E2: 7,8 => CTR => E2: 5,9
* DIS # B7: 8 # C8: 1,2 + E1: 7,8 + E2: 5,9 => CTR => C8: 7
* INC # B7: 8 + C8: 7 # D7: 1,2 => UNS
* INC # B7: 8 + C8: 7 # F7: 1,2 => UNS
* INC # B7: 8 + C8: 7 # G7: 1,2 => UNS
* INC # B7: 8 + C8: 7 # A5: 1,2 => UNS
* INC # B7: 8 + C8: 7 # A5: 4,9 => UNS
* INC # B7: 8 + C8: 7 # F9: 1,2 => UNS
* INC # B7: 8 + C8: 7 # G9: 1,2 => UNS
* INC # B7: 8 + C8: 7 # C5: 1,2 => UNS
* INC # B7: 8 + C8: 7 # C6: 1,2 => UNS
* INC # B7: 8 + C8: 7 # H8: 3,6 => UNS
* INC # B7: 8 + C8: 7 # H8: 2,4 => UNS
* INC # B7: 8 + C8: 7 # D8: 3,6 => UNS
* INC # B7: 8 + C8: 7 # D8: 1,2,5 => UNS
* INC # B7: 8 + C8: 7 # I3: 3,6 => UNS
* INC # B7: 8 + C8: 7 # I3: 7,8,9 => UNS
* DIS # B7: 8 + C8: 7 # F9: 1,2 # D2: 1,8 => CTR => D2: 5
* INC # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 # E2: 1,8 => UNS
* INC # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 # E2: 1,8 => UNS
* DIS # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 # E2: 7,9 => CTR => E2: 1,8
* PRF # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 + E2: 1,8 # D5: 1,8 => SOL
* STA # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 + E2: 1,8 + D5: 1,8
* CNT  46 HDP CHAINS /  48 HYP OPENED