Analysis of xx-ph-00267024-12_12_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .......12.....3..4..4.1.5....1.4..2..6.3.....7..8..9....2.3...9.3...7...8..6..... initial

Autosolve

position: .......12.....3..4..4.1.5....1.4..2..6.3.....7..8..9....2.3...9.3...7...8..6..... autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

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

Pair Reduction

Pair Reduction

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

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:01:03.798739

The following important HDP chains were detected:

* DIS # A4: 9 # F6: 5,6 => CTR => F6: 1,2
* DIS # C1: 3,5 # B4: 5 => CTR => B4: 8,9
* CNT   2 HDP CHAINS / 141 HYP OPENED

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000013

List of important HDP chains detected for C1,C6: 3..:

* DIS # C1: 3 # C2: 8,9 => CTR => C2: 6,7
* PRF # C1: 3 + C2: 6,7 # F6: 2,6 => SOL
* STA # C1: 3 + C2: 6,7 + F6: 2,6
* CNT   2 HDP CHAINS /   6 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

.......12.....3..4..4.1.5....1.4..2..6.3.....7..8..9....2.3...9.3...7...8..6..... initial
.......12.....3..4..4.1.5....1.4..2..6.3.....7..8..9....2.3...9.3...7...8..6..... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (3)
A5: 2,4
B6: 2,4
C6: 3,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A2,B2: 1.. / A2 = 1  =>  3 pairs (_) / B2 = 1  =>  3 pairs (_)
F5,F6: 1.. / F5 = 1  =>  3 pairs (_) / F6 = 1  =>  3 pairs (_)
D7,D8: 1.. / D7 = 1  =>  3 pairs (_) / D8 = 1  =>  4 pairs (_)
F6,I6: 1.. / F6 = 1  =>  3 pairs (_) / I6 = 1  =>  3 pairs (_)
A5,B6: 2.. / A5 = 2  =>  1 pairs (_) / B6 = 2  =>  2 pairs (_)
G8,G9: 2.. / G8 = 2  =>  3 pairs (_) / G9 = 2  =>  4 pairs (_)
A4,C6: 3.. / A4 = 3  =>  9 pairs (_) / C6 = 3  =>  3 pairs (_)
C1,C6: 3.. / C1 = 3  =>  9 pairs (_) / C6 = 3  =>  3 pairs (_)
D1,F1: 4.. / D1 = 4  =>  4 pairs (_) / F1 = 4  =>  6 pairs (_)
A5,B6: 4.. / A5 = 4  =>  2 pairs (_) / B6 = 4  =>  1 pairs (_)
B6,H6: 4.. / B6 = 4  =>  1 pairs (_) / H6 = 4  =>  2 pairs (_)
D4,E5: 7.. / D4 = 7  =>  4 pairs (_) / E5 = 7  =>  4 pairs (_)
B4,C5: 8.. / B4 = 8  =>  4 pairs (_) / C5 = 8  =>  6 pairs (_)
F7,E8: 8.. / F7 = 8  =>  3 pairs (_) / E8 = 8  =>  4 pairs (_)
H2,H3: 9.. / H2 = 9  =>  3 pairs (_) / H3 = 9  =>  4 pairs (_)
* DURATION: 0:00:10.417206  START: 13:10:02.367575  END: 13:10:12.784781 2020-10-21
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,C6: 3.. / C1 = 3 ==>  0 pairs (*) / C6 = 3  =>  0 pairs (X)
* DURATION: 0:00:15.805403  START: 13:11:21.832686  END: 13:11:37.638089 2020-10-21
* REASONING C1,C6: 3..
* DIS # C1: 3 # C2: 8,9 => CTR => C2: 6,7
* PRF # C1: 3 + C2: 6,7 # F6: 2,6 => SOL
* STA # C1: 3 + C2: 6,7 + F6: 2,6
* CNT   2 HDP CHAINS /   6 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

267024;12_12_03;dob;22;11.40;11.40;2.60

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # A4: 3,5 => UNS
* INC # A4: 9 => UNS
* INC # H6: 3,5 => UNS
* INC # I6: 3,5 => UNS
* INC # C1: 3,5 => UNS
* INC # C1: 6,7,8,9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A4: 3,5 => UNS
* INC # A4: 9 => UNS
* INC # H6: 3,5 => UNS
* INC # I6: 3,5 => UNS
* INC # C1: 3,5 => UNS
* INC # C1: 6,7,8,9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A4: 3,5 => UNS
* INC # A4: 9 => UNS
* INC # H6: 3,5 => UNS
* INC # I6: 3,5 => UNS
* INC # C1: 3,5 => UNS
* INC # C1: 6,7,8,9 => UNS
* INC # A4: 3,5 # I4: 3,5 => UNS
* INC # A4: 3,5 # I4: 6,7,8 => UNS
* INC # A4: 3,5 # A1: 3,5 => UNS
* INC # A4: 3,5 # A1: 6,9 => UNS
* INC # A4: 3,5 # B1: 8,9 => UNS
* INC # A4: 3,5 # B2: 8,9 => UNS
* INC # A4: 3,5 # B3: 8,9 => UNS
* INC # A4: 3,5 # C1: 8,9 => UNS
* INC # A4: 3,5 # C2: 8,9 => UNS
* INC # A4: 3,5 # H6: 3,5 => UNS
* INC # A4: 3,5 # I6: 3,5 => UNS
* INC # A4: 3,5 # C1: 3,5 => UNS
* INC # A4: 3,5 # C1: 6,7,8,9 => UNS
* INC # A4: 3,5 => UNS
* INC # A4: 9 # I4: 5,8 => UNS
* INC # A4: 9 # I4: 3,6,7 => UNS
* INC # A4: 9 # B1: 5,8 => UNS
* INC # A4: 9 # B2: 5,8 => UNS
* INC # A4: 9 # H5: 5,8 => UNS
* INC # A4: 9 # I5: 5,8 => UNS
* INC # A4: 9 # C1: 5,8 => UNS
* INC # A4: 9 # C2: 5,8 => UNS
* INC # A4: 9 # E5: 5,7 => UNS
* INC # A4: 9 # E5: 2,9 => UNS
* INC # A4: 9 # I4: 5,7 => UNS
* INC # A4: 9 # I4: 3,6,8 => UNS
* INC # A4: 9 # D1: 5,7 => UNS
* INC # A4: 9 # D2: 5,7 => UNS
* INC # A4: 9 # E6: 5,6 => UNS
* DIS # A4: 9 # F6: 5,6 => CTR => F6: 1,2
* INC # A4: 9 + F6: 1,2 # E6: 5,6 => UNS
* INC # A4: 9 + F6: 1,2 # E6: 2 => UNS
* INC # A4: 9 + F6: 1,2 # I4: 5,6 => UNS
* INC # A4: 9 + F6: 1,2 # I4: 3,7,8 => UNS
* INC # A4: 9 + F6: 1,2 # F1: 5,6 => UNS
* INC # A4: 9 + F6: 1,2 # F1: 4,8,9 => UNS
* INC # A4: 9 + F6: 1,2 # I4: 5,8 => UNS
* INC # A4: 9 + F6: 1,2 # I4: 3,6,7 => UNS
* INC # A4: 9 + F6: 1,2 # B1: 5,8 => UNS
* INC # A4: 9 + F6: 1,2 # B2: 5,8 => UNS
* INC # A4: 9 + F6: 1,2 # H5: 5,8 => UNS
* INC # A4: 9 + F6: 1,2 # I5: 5,8 => UNS
* INC # A4: 9 + F6: 1,2 # C1: 5,8 => UNS
* INC # A4: 9 + F6: 1,2 # C2: 5,8 => UNS
* INC # A4: 9 + F6: 1,2 # E5: 5,7 => UNS
* INC # A4: 9 + F6: 1,2 # E5: 2,9 => UNS
* INC # A4: 9 + F6: 1,2 # I4: 5,7 => UNS
* INC # A4: 9 + F6: 1,2 # I4: 3,6,8 => UNS
* INC # A4: 9 + F6: 1,2 # D1: 5,7 => UNS
* INC # A4: 9 + F6: 1,2 # D2: 5,7 => UNS
* INC # A4: 9 + F6: 1,2 # E6: 5,6 => UNS
* INC # A4: 9 + F6: 1,2 # E6: 2 => UNS
* INC # A4: 9 + F6: 1,2 # I4: 5,6 => UNS
* INC # A4: 9 + F6: 1,2 # I4: 3,7,8 => UNS
* INC # A4: 9 + F6: 1,2 # F1: 5,6 => UNS
* INC # A4: 9 + F6: 1,2 # F1: 4,8,9 => UNS
* INC # A4: 9 + F6: 1,2 # F5: 1,2 => UNS
* INC # A4: 9 + F6: 1,2 # F5: 5,9 => UNS
* INC # A4: 9 + F6: 1,2 => UNS
* INC # H6: 3,5 # A4: 3,5 => UNS
* INC # H6: 3,5 # A4: 9 => UNS
* INC # H6: 3,5 # C1: 3,5 => UNS
* INC # H6: 3,5 # C1: 6,7,8,9 => UNS
* INC # H6: 3,5 # F6: 2,6 => UNS
* INC # H6: 3,5 # F6: 1 => UNS
* INC # H6: 3,5 # E2: 2,6 => UNS
* INC # H6: 3,5 # E2: 5,7,8,9 => UNS
* INC # H6: 3,5 # I4: 3,5 => UNS
* INC # H6: 3,5 # I4: 6,7,8 => UNS
* INC # H6: 3,5 # H9: 3,5 => UNS
* INC # H6: 3,5 # H9: 4,7 => UNS
* INC # H6: 3,5 # F6: 1,6 => UNS
* INC # H6: 3,5 # F6: 2 => UNS
* INC # H6: 3,5 # I8: 1,6 => UNS
* INC # H6: 3,5 # I8: 5,8 => UNS
* INC # H6: 3,5 => UNS
* INC # I6: 3,5 # A4: 3,5 => UNS
* INC # I6: 3,5 # A4: 9 => UNS
* INC # I6: 3,5 # C1: 3,5 => UNS
* INC # I6: 3,5 # C1: 6,7,8,9 => UNS
* INC # I6: 3,5 # E2: 2,6 => UNS
* INC # I6: 3,5 # E2: 5,7,8,9 => UNS
* INC # I6: 3,5 # H7: 4,6 => UNS
* INC # I6: 3,5 # H8: 4,6 => UNS
* INC # I6: 3,5 # I4: 3,5 => UNS
* INC # I6: 3,5 # I4: 6,7,8 => UNS
* INC # I6: 3,5 # I9: 3,5 => UNS
* INC # I6: 3,5 # I9: 1,7 => UNS
* INC # I6: 3,5 => UNS
* INC # C1: 3,5 # A1: 3,5 => UNS
* INC # C1: 3,5 # A1: 6,9 => UNS
* INC # C1: 3,5 # B4: 8,9 => UNS
* DIS # C1: 3,5 # B4: 5 => CTR => B4: 8,9
* INC # C1: 3,5 + B4: 8,9 # C2: 8,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # C2: 6,7 => UNS
* INC # C1: 3,5 + B4: 8,9 # H6: 3,5 => UNS
* INC # C1: 3,5 + B4: 8,9 # I6: 3,5 => UNS
* INC # C1: 3,5 + B4: 8,9 # A8: 6,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # A8: 1,4,5 => UNS
* INC # C1: 3,5 + B4: 8,9 # C2: 6,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # C2: 7,8 => UNS
* INC # C1: 3,5 + B4: 8,9 # B9: 7,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # B9: 1,4,5 => UNS
* INC # C1: 3,5 + B4: 8,9 # C2: 7,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # C2: 6,8 => UNS
* INC # C1: 3,5 + B4: 8,9 # A1: 3,5 => UNS
* INC # C1: 3,5 + B4: 8,9 # A1: 6,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # I4: 3,5 => UNS
* INC # C1: 3,5 + B4: 8,9 # I4: 6,7,8 => UNS
* INC # C1: 3,5 + B4: 8,9 # A1: 3,5 => UNS
* INC # C1: 3,5 + B4: 8,9 # A1: 6,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # B1: 8,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # B2: 8,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # B3: 8,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # C2: 8,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # C2: 6,7 => UNS
* INC # C1: 3,5 + B4: 8,9 # H6: 3,5 => UNS
* INC # C1: 3,5 + B4: 8,9 # I6: 3,5 => UNS
* INC # C1: 3,5 + B4: 8,9 # A8: 6,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # A8: 1,4,5 => UNS
* INC # C1: 3,5 + B4: 8,9 # C2: 6,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # C2: 7,8 => UNS
* INC # C1: 3,5 + B4: 8,9 # B9: 7,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # B9: 1,4,5 => UNS
* INC # C1: 3,5 + B4: 8,9 # C2: 7,9 => UNS
* INC # C1: 3,5 + B4: 8,9 # C2: 6,8 => UNS
* INC # C1: 3,5 + B4: 8,9 => UNS
* INC # C1: 6,7,8,9 # B4: 5,9 => UNS
* INC # C1: 6,7,8,9 # C5: 5,9 => UNS
* INC # C1: 6,7,8,9 # D4: 5,9 => UNS
* INC # C1: 6,7,8,9 # F4: 5,9 => UNS
* INC # C1: 6,7,8,9 # A1: 5,9 => UNS
* INC # C1: 6,7,8,9 # A2: 5,9 => UNS
* INC # C1: 6,7,8,9 # A8: 5,9 => UNS
* INC # C1: 6,7,8,9 => UNS
* CNT 141 HDP CHAINS / 141 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C1,C6: 3..:

* INC # C1: 3 # B1: 8,9 => UNS
* INC # C1: 3 # B2: 8,9 => UNS
* INC # C1: 3 # B3: 8,9 => UNS
* DIS # C1: 3 # C2: 8,9 => CTR => C2: 6,7
* PRF # C1: 3 + C2: 6,7 # F6: 2,6 => SOL
* STA # C1: 3 + C2: 6,7 + F6: 2,6
* CNT   5 HDP CHAINS /   6 HYP OPENED