Analysis of xx-ph-00001176-H63-base.sdk

Contents

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

Original Sudoku

level: deep

position: .......39.7.....85..3.5......8.9...3.....2...1..4..6....9.6..5..2...1...4..7..... initial

Autosolve

position: .......39.7.....85..3.5......8.9...3.....2...1..4..6....9.6..5..2...1...4..7..... autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.220395

Deep Constraint Pair Analysis

Time used: 0:00:00.000014

List of important HDP chains detected for G4,G5: 5..:

* DIS # G4: 5 # D5: 1,6 => CTR => D5: 3,5,8
* DIS # G5: 5 # A7: 3,8 => CTR => A7: 7
* DIS # G5: 5 + A7: 7 # B7: 3,8 => CTR => B7: 1
* DIS # G5: 5 + A7: 7 + B7: 1 # H6: 2,7 => CTR => H6: 9
* DIS # G5: 5 + A7: 7 + B7: 1 + H6: 9 # I6: 8 => CTR => I6: 2,7
* DIS # G5: 5 + A7: 7 + B7: 1 + H6: 9 + I6: 2,7 # E8: 3,8 => CTR => E8: 4
* DIS # G5: 5 + A7: 7 + B7: 1 + H6: 9 + I6: 2,7 + E8: 4 # C1: 1,4 => CTR => C1: 2
* DIS # G5: 5 + A7: 7 + B7: 1 + H6: 9 + I6: 2,7 + E8: 4 + C1: 2 => CTR => G5: 1,4,7,8,9
* STA G5: 1,4,7,8,9
* CNT   8 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for F7,E8: 4..:

* DIS # E8: 4 # D7: 3,8 => CTR => D7: 2
* CNT   1 HDP CHAINS /  23 HYP OPENED

List of important HDP chains detected for D7,E9: 2..:

* DIS # E9: 2 # F7: 3,8 => CTR => F7: 4
* CNT   1 HDP CHAINS /  23 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

`.......39.7.....85..3.5......8.9...3.....2...1..4..6....9.6..5..2...1...4..7.....`	initial
`.......39.7.....85..3.5......8.9...3.....2...1..4..6....9.6..5..2...1...4..7.....`	autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
D8: 5,9
F9: 5,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A4,C6: 2.. / A4 = 2  =>  5 pairs (_) / C6 = 2  =>  4 pairs (_)
D7,E9: 2.. / D7 = 2  =>  3 pairs (_) / E9 = 2  =>  3 pairs (_)
F7,E8: 4.. / F7 = 4  =>  3 pairs (_) / E8 = 4  =>  3 pairs (_)
G4,G5: 5.. / G4 = 5  =>  5 pairs (_) / G5 = 5  =>  3 pairs (_)
D8,F9: 5.. / D8 = 5  =>  2 pairs (_) / F9 = 5  =>  3 pairs (_)
H3,I3: 6.. / H3 = 6  =>  2 pairs (_) / I3 = 6  =>  2 pairs (_)
D8,F9: 9.. / D8 = 9  =>  3 pairs (_) / F9 = 9  =>  2 pairs (_)
B6,H6: 9.. / B6 = 9  =>  3 pairs (_) / H6 = 9  =>  3 pairs (_)
* DURATION: 0:00:06.131315  START: 23:20:57.656756  END: 23:21:03.788071 2020-11-25
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A4,C6: 2.. / A4 = 2 ==>  5 pairs (_) / C6 = 2 ==>  4 pairs (_)
G4,G5: 5.. / G4 = 5 ==>  5 pairs (_) / G5 = 5 ==>  0 pairs (X)
B6,H6: 9.. / B6 = 9 ==>  3 pairs (_) / H6 = 9 ==>  3 pairs (_)
F7,E8: 4.. / F7 = 4 ==>  3 pairs (_) / E8 = 4 ==>  4 pairs (_)
D7,E9: 2.. / D7 = 2 ==>  3 pairs (_) / E9 = 2 ==>  4 pairs (_)
D8,F9: 9.. / D8 = 9 ==>  3 pairs (_) / F9 = 9 ==>  2 pairs (_)
D8,F9: 5.. / D8 = 5 ==>  2 pairs (_) / F9 = 5 ==>  3 pairs (_)
H3,I3: 6.. / H3 = 6 ==>  2 pairs (_) / I3 = 6 ==>  2 pairs (_)
* DURATION: 0:01:43.363309  START: 23:21:04.577760  END: 23:22:47.941069 2020-11-25
* REASONING G4,G5: 5..
* DIS # G4: 5 # D5: 1,6 => CTR => D5: 3,5,8
* DIS # G5: 5 # A7: 3,8 => CTR => A7: 7
* DIS # G5: 5 + A7: 7 # B7: 3,8 => CTR => B7: 1
* DIS # G5: 5 + A7: 7 + B7: 1 # H6: 2,7 => CTR => H6: 9
* DIS # G5: 5 + A7: 7 + B7: 1 + H6: 9 # I6: 8 => CTR => I6: 2,7
* DIS # G5: 5 + A7: 7 + B7: 1 + H6: 9 + I6: 2,7 # E8: 3,8 => CTR => E8: 4
* DIS # G5: 5 + A7: 7 + B7: 1 + H6: 9 + I6: 2,7 + E8: 4 # C1: 1,4 => CTR => C1: 2
* DIS # G5: 5 + A7: 7 + B7: 1 + H6: 9 + I6: 2,7 + E8: 4 + C1: 2 => CTR => G5: 1,4,7,8,9
* STA G5: 1,4,7,8,9
* CNT   8 HDP CHAINS /  37 HYP OPENED
* REASONING F7,E8: 4..
* DIS # E8: 4 # D7: 3,8 => CTR => D7: 2
* CNT   1 HDP CHAINS /  23 HYP OPENED
* REASONING D7,E9: 2..
* DIS # E9: 2 # F7: 3,8 => CTR => F7: 4
* CNT   1 HDP CHAINS /  23 HYP OPENED
* DCP COUNT: (8)
* CLUE FOUND

Header Info

1176;H63;col;21;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A4,C6: 2..:

* INC # A4: 2 # D2: 6,9 => UNS
* INC # A4: 2 # F2: 6,9 => UNS
* INC # A4: 2 # A5: 6,9 => UNS
* INC # A4: 2 # A5: 3,5,7 => UNS
* INC # A4: 2 # B3: 8,9 => UNS
* INC # A4: 2 # B3: 1,4 => UNS
* INC # A4: 2 # D3: 8,9 => UNS
* INC # A4: 2 # F3: 8,9 => UNS
* INC # A4: 2 # A5: 5,7 => UNS
* INC # A4: 2 # C5: 5,7 => UNS
* INC # A4: 2 # F6: 5,7 => UNS
* INC # A4: 2 # F6: 3,8 => UNS
* INC # A4: 2 # C8: 5,7 => UNS
* INC # A4: 2 # C8: 6 => UNS
* INC # A4: 2 => UNS
* INC # C6: 2 # G5: 7,9 => UNS
* INC # C6: 2 # H5: 7,9 => UNS
* INC # C6: 2 # H8: 7,9 => UNS
* INC # C6: 2 # H8: 4,6 => UNS
* INC # C6: 2 # G5: 7,8 => UNS
* INC # C6: 2 # I5: 7,8 => UNS
* INC # C6: 2 # E6: 7,8 => UNS
* INC # C6: 2 # F6: 7,8 => UNS
* INC # C6: 2 # I7: 7,8 => UNS
* INC # C6: 2 # I8: 7,8 => UNS
* INC # C6: 2 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for G4,G5: 5..:

* INC # G4: 5 # B5: 4,6 => UNS
* INC # G4: 5 # C5: 4,6 => UNS
* INC # G4: 5 # B1: 4,6 => UNS
* INC # G4: 5 # B1: 1,5,8 => UNS
* DIS # G4: 5 # D5: 1,6 => CTR => D5: 3,5,8
* INC # G4: 5 + D5: 3,5,8 # D1: 1,6 => UNS
* INC # G4: 5 + D5: 3,5,8 # D2: 1,6 => UNS
* INC # G4: 5 + D5: 3,5,8 # F1: 6,7 => UNS
* INC # G4: 5 + D5: 3,5,8 # F1: 4,8 => UNS
* INC # G4: 5 + D5: 3,5,8 # C6: 2,7 => UNS
* INC # G4: 5 + D5: 3,5,8 # C6: 5 => UNS
* INC # G4: 5 + D5: 3,5,8 # H4: 2,7 => UNS
* INC # G4: 5 + D5: 3,5,8 # H4: 1 => UNS
* INC # G4: 5 + D5: 3,5,8 # D1: 1,6 => UNS
* INC # G4: 5 + D5: 3,5,8 # D2: 1,6 => UNS
* INC # G4: 5 + D5: 3,5,8 # F1: 6,7 => UNS
* INC # G4: 5 + D5: 3,5,8 # F1: 4,8 => UNS
* INC # G4: 5 + D5: 3,5,8 => UNS
* INC # G5: 5 # G8: 3,8 => UNS
* INC # G5: 5 # G9: 3,8 => UNS
* DIS # G5: 5 # A7: 3,8 => CTR => A7: 7
* DIS # G5: 5 + A7: 7 # B7: 3,8 => CTR => B7: 1
* INC # G5: 5 + A7: 7 + B7: 1 # D7: 3,8 => UNS
* INC # G5: 5 + A7: 7 + B7: 1 # F7: 3,8 => UNS
* INC # G5: 5 + A7: 7 + B7: 1 # G8: 3,8 => UNS
* INC # G5: 5 + A7: 7 + B7: 1 # G9: 3,8 => UNS
* INC # G5: 5 + A7: 7 + B7: 1 # D7: 3,8 => UNS
* INC # G5: 5 + A7: 7 + B7: 1 # F7: 3,8 => UNS
* INC # G5: 5 + A7: 7 + B7: 1 # H5: 4,7 => UNS
* INC # G5: 5 + A7: 7 + B7: 1 # I5: 4,7 => UNS
* DIS # G5: 5 + A7: 7 + B7: 1 # H6: 2,7 => CTR => H6: 9
* INC # G5: 5 + A7: 7 + B7: 1 + H6: 9 # I6: 2,7 => UNS
* INC # G5: 5 + A7: 7 + B7: 1 + H6: 9 # I6: 2,7 => UNS
* DIS # G5: 5 + A7: 7 + B7: 1 + H6: 9 # I6: 8 => CTR => I6: 2,7
* DIS # G5: 5 + A7: 7 + B7: 1 + H6: 9 + I6: 2,7 # E8: 3,8 => CTR => E8: 4
* DIS # G5: 5 + A7: 7 + B7: 1 + H6: 9 + I6: 2,7 + E8: 4 # C1: 1,4 => CTR => C1: 2
* DIS # G5: 5 + A7: 7 + B7: 1 + H6: 9 + I6: 2,7 + E8: 4 + C1: 2 => CTR => G5: 1,4,7,8,9
* STA G5: 1,4,7,8,9
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for B6,H6: 9..:

* INC # B6: 9 # G4: 2,7 => UNS
* INC # B6: 9 # H4: 2,7 => UNS
* INC # B6: 9 # I6: 2,7 => UNS
* INC # B6: 9 # C6: 2,7 => UNS
* INC # B6: 9 # C6: 5 => UNS
* INC # B6: 9 # H3: 2,7 => UNS
* INC # B6: 9 # H3: 1,4,6 => UNS
* INC # B6: 9 => UNS
* INC # H6: 9 # A5: 3,5 => UNS
* INC # H6: 9 # B5: 3,5 => UNS
* INC # H6: 9 # F6: 3,5 => UNS
* INC # H6: 9 # F6: 7,8 => UNS
* INC # H6: 9 # B9: 3,5 => UNS
* INC # H6: 9 # B9: 1,6,8 => UNS
* INC # H6: 9 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for F7,E8: 4..:

* INC # F7: 4 # D7: 3,8 => UNS
* INC # F7: 4 # E9: 3,8 => UNS
* INC # F7: 4 # A8: 3,8 => UNS
* INC # F7: 4 # G8: 3,8 => UNS
* INC # F7: 4 # E5: 3,8 => UNS
* INC # F7: 4 # E6: 3,8 => UNS
* INC # F7: 4 => UNS
* DIS # E8: 4 # D7: 3,8 => CTR => D7: 2
* INC # E8: 4 + D7: 2 # A7: 3,8 => UNS
* INC # E8: 4 + D7: 2 # B7: 3,8 => UNS
* INC # E8: 4 + D7: 2 # G7: 3,8 => UNS
* INC # E8: 4 + D7: 2 # F6: 3,8 => UNS
* INC # E8: 4 + D7: 2 # F6: 5,7 => UNS
* INC # E8: 4 + D7: 2 # A7: 3,8 => UNS
* INC # E8: 4 + D7: 2 # B7: 3,8 => UNS
* INC # E8: 4 + D7: 2 # G7: 3,8 => UNS
* INC # E8: 4 + D7: 2 # F6: 3,8 => UNS
* INC # E8: 4 + D7: 2 # F6: 5,7 => UNS
* INC # E8: 4 + D7: 2 # B9: 3,8 => UNS
* INC # E8: 4 + D7: 2 # G9: 3,8 => UNS
* INC # E8: 4 + D7: 2 # E5: 3,8 => UNS
* INC # E8: 4 + D7: 2 # E6: 3,8 => UNS
* INC # E8: 4 + D7: 2 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for D7,E9: 2..:

* INC # D7: 2 # F7: 3,8 => UNS
* INC # D7: 2 # E8: 3,8 => UNS
* INC # D7: 2 # B9: 3,8 => UNS
* INC # D7: 2 # G9: 3,8 => UNS
* INC # D7: 2 # E5: 3,8 => UNS
* INC # D7: 2 # E6: 3,8 => UNS
* INC # D7: 2 => UNS
* DIS # E9: 2 # F7: 3,8 => CTR => F7: 4
* INC # E9: 2 + F7: 4 # A7: 3,8 => UNS
* INC # E9: 2 + F7: 4 # B7: 3,8 => UNS
* INC # E9: 2 + F7: 4 # G7: 3,8 => UNS
* INC # E9: 2 + F7: 4 # D5: 3,8 => UNS
* INC # E9: 2 + F7: 4 # D5: 1,5,6 => UNS
* INC # E9: 2 + F7: 4 # A7: 3,8 => UNS
* INC # E9: 2 + F7: 4 # B7: 3,8 => UNS
* INC # E9: 2 + F7: 4 # G7: 3,8 => UNS
* INC # E9: 2 + F7: 4 # D5: 3,8 => UNS
* INC # E9: 2 + F7: 4 # D5: 1,5,6 => UNS
* INC # E9: 2 + F7: 4 # A8: 3,8 => UNS
* INC # E9: 2 + F7: 4 # G8: 3,8 => UNS
* INC # E9: 2 + F7: 4 # E5: 3,8 => UNS
* INC # E9: 2 + F7: 4 # E6: 3,8 => UNS
* INC # E9: 2 + F7: 4 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for D8,F9: 9..:

* INC # D8: 9 # B5: 4,6 => UNS
* INC # D8: 9 # C5: 4,6 => UNS
* INC # D8: 9 # B1: 4,6 => UNS
* INC # D8: 9 # B1: 1,5,8 => UNS
* INC # D8: 9 # A4: 6,7 => UNS
* INC # D8: 9 # A4: 2 => UNS
* INC # D8: 9 # F1: 6,7 => UNS
* INC # D8: 9 # F1: 4,8 => UNS
* INC # D8: 9 # B9: 1,6 => UNS
* INC # D8: 9 # B9: 3,8 => UNS
* INC # D8: 9 # H9: 1,6 => UNS
* INC # D8: 9 # I9: 1,6 => UNS
* INC # D8: 9 # C1: 1,6 => UNS
* INC # D8: 9 # C2: 1,6 => UNS
* INC # D8: 9 => UNS
* INC # F9: 9 # D5: 1,6 => UNS
* INC # F9: 9 # D5: 3,8 => UNS
* INC # F9: 9 # D1: 1,6 => UNS
* INC # F9: 9 # D2: 1,6 => UNS
* INC # F9: 9 # A8: 6,7 => UNS
* INC # F9: 9 # A8: 3,8 => UNS
* INC # F9: 9 # H8: 6,7 => UNS
* INC # F9: 9 # I8: 6,7 => UNS
* INC # F9: 9 # C5: 6,7 => UNS
* INC # F9: 9 # C5: 4,5 => UNS
* INC # F9: 9 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for D8,F9: 5..:

* INC # F9: 5 # B5: 4,6 => UNS
* INC # F9: 5 # C5: 4,6 => UNS
* INC # F9: 5 # B1: 4,6 => UNS
* INC # F9: 5 # B1: 1,5,8 => UNS
* INC # F9: 5 # A4: 6,7 => UNS
* INC # F9: 5 # A4: 2 => UNS
* INC # F9: 5 # F1: 6,7 => UNS
* INC # F9: 5 # F1: 4,8 => UNS
* INC # F9: 5 # B9: 1,6 => UNS
* INC # F9: 5 # B9: 3,8 => UNS
* INC # F9: 5 # H9: 1,6 => UNS
* INC # F9: 5 # I9: 1,6 => UNS
* INC # F9: 5 # C1: 1,6 => UNS
* INC # F9: 5 # C2: 1,6 => UNS
* INC # F9: 5 => UNS
* INC # D8: 5 # D5: 1,6 => UNS
* INC # D8: 5 # D5: 3,8 => UNS
* INC # D8: 5 # D1: 1,6 => UNS
* INC # D8: 5 # D2: 1,6 => UNS
* INC # D8: 5 # A8: 6,7 => UNS
* INC # D8: 5 # A8: 3,8 => UNS
* INC # D8: 5 # H8: 6,7 => UNS
* INC # D8: 5 # I8: 6,7 => UNS
* INC # D8: 5 # C5: 6,7 => UNS
* INC # D8: 5 # C5: 4,5 => UNS
* INC # D8: 5 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for H3,I3: 6..:

* INC # H3: 6 => UNS
* INC # I3: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED