Analysis of xx-ph-00001060-H54-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
Details
Appendix: Full HDP Chains
- A1. Deep Constraint Pair Analysis

Original Sudoku

level: deep

position: .......39.....1.....3.9...5..9.6...81....2....7.4.......6.8..5..2.7..6..4.....8.. initial

Autosolve

position: .......39.....1.....3.9...5..9.6...81....2....7.4.......6.8..5..2.7..6..4.....8.. autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.227595

Deep Constraint Pair Analysis

Time used: 0:00:00.000015

List of important HDP chains detected for D2,E2: 3..:

* DIS # E2: 3 # C6: 8 => CTR => C6: 2,5
* DIS # E2: 3 + C6: 2,5 # F4: 3 => CTR => F4: 5,7
* DIS # E2: 3 + C6: 2,5 + F4: 5,7 # G5: 5,7 => CTR => G5: 3,4
* DIS # E2: 3 + C6: 2,5 + F4: 5,7 + G5: 3,4 => CTR => E2: 2,4,5,7
* STA E2: 2,4,5,7
* CNT   4 HDP CHAINS /  15 HYP OPENED

List of important HDP chains detected for D4,E6: 1..:

* DIS # E6: 1 # F4: 3,5 => CTR => F4: 7
* PRF # E6: 1 + F4: 7 # G4: 3,5 => SOL
* STA # E6: 1 + F4: 7 + G4: 3,5
* CNT   2 HDP CHAINS /   5 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

`.......39.....1.....3.9...5..9.6...81....2....7.4.......6.8..5..2.7..6..4.....8..`	initial
`.......39.....1.....3.9...5..9.6...81....2....7.4.......6.8..5..2.7..6..4.....8..`	autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
D5: 8,9
F6: 8,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E6: 1.. / D4 = 1  =>  3 pairs (_) / E6 = 1  =>  4 pairs (_)
D2,E2: 3.. / D2 = 3  =>  3 pairs (_) / E2 = 3  =>  9 pairs (_)
B5,A6: 6.. / B5 = 6  =>  2 pairs (_) / A6 = 6  =>  2 pairs (_)
D9,F9: 6.. / D9 = 6  =>  3 pairs (_) / F9 = 6  =>  2 pairs (_)
F4,E5: 7.. / F4 = 7  =>  3 pairs (_) / E5 = 7  =>  3 pairs (_)
A7,C9: 7.. / A7 = 7  =>  3 pairs (_) / C9 = 7  =>  3 pairs (_)
H2,H3: 8.. / H2 = 8  =>  2 pairs (_) / H3 = 8  =>  3 pairs (_)
D5,F6: 8.. / D5 = 8  =>  3 pairs (_) / F6 = 8  =>  1 pairs (_)
A8,C8: 8.. / A8 = 8  =>  3 pairs (_) / C8 = 8  =>  8 pairs (_)
A2,B2: 9.. / A2 = 9  =>  3 pairs (_) / B2 = 9  =>  3 pairs (_)
D5,F6: 9.. / D5 = 9  =>  1 pairs (_) / F6 = 9  =>  3 pairs (_)
* DURATION: 0:00:09.685357  START: 18:19:05.060864  END: 18:19:14.746221 2020-11-24
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D2,E2: 3.. / D2 = 3  =>  3 pairs (_) / E2 = 3 ==>  0 pairs (X)
A8,C8: 8.. / A8 = 8 ==>  3 pairs (_) / C8 = 8 ==>  8 pairs (_)
D4,E6: 1.. / D4 = 1  =>  0 pairs (X) / E6 = 1 ==>  0 pairs (*)
* DURATION: 0:00:52.813161  START: 18:19:15.683486  END: 18:20:08.496647 2020-11-24
* REASONING D2,E2: 3..
* DIS # E2: 3 # C6: 8 => CTR => C6: 2,5
* DIS # E2: 3 + C6: 2,5 # F4: 3 => CTR => F4: 5,7
* DIS # E2: 3 + C6: 2,5 + F4: 5,7 # G5: 5,7 => CTR => G5: 3,4
* DIS # E2: 3 + C6: 2,5 + F4: 5,7 + G5: 3,4 => CTR => E2: 2,4,5,7
* STA E2: 2,4,5,7
* CNT   4 HDP CHAINS /  15 HYP OPENED
* REASONING D4,E6: 1..
* DIS # E6: 1 # F4: 3,5 => CTR => F4: 7
* PRF # E6: 1 + F4: 7 # G4: 3,5 => SOL
* STA # E6: 1 + F4: 7 + G4: 3,5
* CNT   2 HDP CHAINS /   5 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

1060;H54;col;21;11.30;11.30;3.40

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D2,E2: 3..:

* INC # E2: 3 # C6: 2,5 => UNS
* DIS # E2: 3 # C6: 8 => CTR => C6: 2,5
* INC # E2: 3 + C6: 2,5 # G4: 2,5 => UNS
* INC # E2: 3 + C6: 2,5 # G4: 1,7 => UNS
* INC # E2: 3 + C6: 2,5 # A1: 2,5 => UNS
* INC # E2: 3 + C6: 2,5 # A2: 2,5 => UNS
* INC # E2: 3 + C6: 2,5 # I5: 3,6 => UNS
* INC # E2: 3 + C6: 2,5 # I5: 4,7 => UNS
* INC # E2: 3 + C6: 2,5 # I6: 3,6 => UNS
* INC # E2: 3 + C6: 2,5 # I6: 1,2 => UNS
* INC # E2: 3 + C6: 2,5 # F4: 5,7 => UNS
* DIS # E2: 3 + C6: 2,5 # F4: 3 => CTR => F4: 5,7
* DIS # E2: 3 + C6: 2,5 + F4: 5,7 # G5: 5,7 => CTR => G5: 3,4
* DIS # E2: 3 + C6: 2,5 + F4: 5,7 + G5: 3,4 => CTR => E2: 2,4,5,7
* INC E2: 2,4,5,7 # D2: 3 => UNS
* STA E2: 2,4,5,7
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for A8,C8: 8..:

* INC # C8: 8 # B1: 6,8 => UNS
* INC # C8: 8 # B2: 6,8 => UNS
* INC # C8: 8 # B3: 6,8 => UNS
* INC # C8: 8 # B4: 4,5 => UNS
* INC # C8: 8 # B4: 3 => UNS
* INC # C8: 8 # G5: 4,5 => UNS
* INC # C8: 8 # G5: 3,7,9 => UNS
* INC # C8: 8 # C1: 4,5 => UNS
* INC # C8: 8 # C2: 4,5 => UNS
* INC # C8: 8 # A1: 6,8 => UNS
* INC # C8: 8 # A2: 6,8 => UNS
* INC # C8: 8 # A3: 6,8 => UNS
* INC # C8: 8 # A4: 2,5 => UNS
* INC # C8: 8 # A4: 3 => UNS
* INC # C8: 8 # G6: 2,5 => UNS
* INC # C8: 8 # G6: 1,3,9 => UNS
* INC # C8: 8 # C1: 2,5 => UNS
* INC # C8: 8 # C2: 2,5 => UNS
* INC # C8: 8 # E6: 1,5 => UNS
* INC # C8: 8 # E6: 3 => UNS
* INC # C8: 8 # G4: 1,5 => UNS
* INC # C8: 8 # G4: 2,4,7 => UNS
* INC # C8: 8 # D9: 1,5 => UNS
* INC # C8: 8 # D9: 2,6,9 => UNS
* INC # C8: 8 # E5: 5,7 => UNS
* INC # C8: 8 # E5: 3 => UNS
* INC # C8: 8 # G4: 5,7 => UNS
* INC # C8: 8 # G4: 1,2,4 => UNS
* INC # C8: 8 # F1: 5,7 => UNS
* INC # C8: 8 # F1: 4,6,8 => UNS
* INC # C8: 8 => UNS
* INC # A8: 8 # B9: 1,5 => UNS
* INC # A8: 8 # C9: 1,5 => UNS
* INC # A8: 8 # E8: 1,5 => UNS
* INC # A8: 8 # E8: 3,4 => UNS
* INC # A8: 8 # C1: 1,5 => UNS
* INC # A8: 8 # C1: 2,4,7,8 => UNS
* INC # A8: 8 => UNS
* CNT  38 HDP CHAINS /  38 HYP OPENED

Full list of HDP chains traversed for D4,E6: 1..:

* DIS # E6: 1 # F4: 3,5 => CTR => F4: 7
* INC # E6: 1 + F4: 7 # A4: 3,5 => UNS
* INC # E6: 1 + F4: 7 # B4: 3,5 => UNS
* PRF # E6: 1 + F4: 7 # G4: 3,5 => SOL
* STA # E6: 1 + F4: 7 + G4: 3,5
* CNT   4 HDP CHAINS /   5 HYP OPENED