Analysis of xx-ph-00376940-12_12_03-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
- Deep Constraint Pair Analysis
- Very Deep Constraint Pair Analysis
Details
Appendix: Full HDP Chains
- A1. Deep Constraint Pair Analysis
- A2. Very Deep Constraint Pair Analysis

Original Sudoku

level: very deep

position: ........1.....2..3..4.5..6........7...73.4...56..7.......8..9....5.4..3.8.6.3..4. initial

Autosolve

position: ........1.....2..3..4.5..6........7...73.4...56..7...4...8..9....5.4..3.8.6.3..4. autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

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

Very Deep Constraint Pair Analysis

Time used: 0:01:05.342593

List of important HDP chains detected for C6,G6: 3..:

* DIS # C6: 3 # E7: 1,2 # D2: 1,9 => CTR => D2: 4,6,7
* DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 # F3: 1,9 => CTR => F3: 3,8
* DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 # A3: 1,9 => CTR => A3: 2,3
* DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3 # B3: 1,9 => CTR => B3: 2,3,8
* PRF # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3 + B3: 2,3,8 # G5: 2,8 => SOL
* STA # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3 + B3: 2,3,8 + G5: 2,8
* CNT   5 HDP CHAINS /  78 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

`........1.....2..3..4.5..6........7...73.4...56..7.......8..9....5.4..3.8.6.3..4.`	initial
`........1.....2..3..4.5..6........7...73.4...56..7...4...8..9....5.4..3.8.6.3..4.`	autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F1,F3: 3.. / F1 = 3  =>  0 pairs (_) / F3 = 3  =>  0 pairs (_)
G4,G6: 3.. / G4 = 3  =>  3 pairs (_) / G6 = 3  =>  0 pairs (_)
C6,G6: 3.. / C6 = 3  =>  3 pairs (_) / G6 = 3  =>  0 pairs (_)
D1,D2: 4.. / D1 = 4  =>  0 pairs (_) / D2 = 4  =>  0 pairs (_)
G1,G2: 4.. / G1 = 4  =>  0 pairs (_) / G2 = 4  =>  0 pairs (_)
A4,B4: 4.. / A4 = 4  =>  0 pairs (_) / B4 = 4  =>  0 pairs (_)
A7,B7: 4.. / A7 = 4  =>  0 pairs (_) / B7 = 4  =>  0 pairs (_)
D1,G1: 4.. / D1 = 4  =>  0 pairs (_) / G1 = 4  =>  0 pairs (_)
D2,G2: 4.. / D2 = 4  =>  0 pairs (_) / G2 = 4  =>  0 pairs (_)
A4,A7: 4.. / A4 = 4  =>  0 pairs (_) / A7 = 4  =>  0 pairs (_)
B4,B7: 4.. / B4 = 4  =>  0 pairs (_) / B7 = 4  =>  0 pairs (_)
B1,B2: 5.. / B1 = 5  =>  0 pairs (_) / B2 = 5  =>  1 pairs (_)
D4,F4: 5.. / D4 = 5  =>  0 pairs (_) / F4 = 5  =>  1 pairs (_)
D4,D9: 5.. / D4 = 5  =>  0 pairs (_) / D9 = 5  =>  1 pairs (_)
A1,A2: 6.. / A1 = 6  =>  1 pairs (_) / A2 = 6  =>  0 pairs (_)
G8,I8: 8.. / G8 = 8  =>  1 pairs (_) / I8 = 8  =>  0 pairs (_)
* DURATION: 0:00:12.160235  START: 22:47:03.389116  END: 22:47:15.549351 2020-12-25
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C6,G6: 3.. / C6 = 3 ==>  3 pairs (_) / G6 = 3 ==>  0 pairs (_)
G4,G6: 3.. / G4 = 3 ==>  3 pairs (_) / G6 = 3 ==>  0 pairs (_)
G8,I8: 8.. / G8 = 8 ==>  1 pairs (_) / I8 = 8 ==>  0 pairs (_)
A1,A2: 6.. / A1 = 6 ==>  1 pairs (_) / A2 = 6 ==>  0 pairs (_)
D4,D9: 5.. / D4 = 5 ==>  0 pairs (_) / D9 = 5 ==>  1 pairs (_)
D4,F4: 5.. / D4 = 5 ==>  0 pairs (_) / F4 = 5 ==>  1 pairs (_)
B1,B2: 5.. / B1 = 5 ==>  0 pairs (_) / B2 = 5 ==>  1 pairs (_)
B4,B7: 4.. / B4 = 4 ==>  0 pairs (_) / B7 = 4 ==>  0 pairs (_)
A4,A7: 4.. / A4 = 4 ==>  0 pairs (_) / A7 = 4 ==>  0 pairs (_)
D2,G2: 4.. / D2 = 4 ==>  0 pairs (_) / G2 = 4 ==>  0 pairs (_)
D1,G1: 4.. / D1 = 4 ==>  0 pairs (_) / G1 = 4 ==>  0 pairs (_)
A7,B7: 4.. / A7 = 4 ==>  0 pairs (_) / B7 = 4 ==>  0 pairs (_)
A4,B4: 4.. / A4 = 4 ==>  0 pairs (_) / B4 = 4 ==>  0 pairs (_)
G1,G2: 4.. / G1 = 4 ==>  0 pairs (_) / G2 = 4 ==>  0 pairs (_)
D1,D2: 4.. / D1 = 4 ==>  0 pairs (_) / D2 = 4 ==>  0 pairs (_)
F1,F3: 3.. / F1 = 3 ==>  0 pairs (_) / F3 = 3 ==>  0 pairs (_)
* DURATION: 0:00:52.479117  START: 22:47:15.550200  END: 22:48:08.029317 2020-12-25
* DCP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
C6,G6: 3.. / C6 = 3 ==>  0 pairs (*) / G6 = 3  =>  0 pairs (X)
* DURATION: 0:01:05.339922  START: 22:48:08.265730  END: 22:49:13.605652 2020-12-25
* REASONING C6,G6: 3..
* DIS # C6: 3 # E7: 1,2 # D2: 1,9 => CTR => D2: 4,6,7
* DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 # F3: 1,9 => CTR => F3: 3,8
* DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 # A3: 1,9 => CTR => A3: 2,3
* DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3 # B3: 1,9 => CTR => B3: 2,3,8
* PRF # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3 + B3: 2,3,8 # G5: 2,8 => SOL
* STA # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3 + B3: 2,3,8 + G5: 2,8
* CNT   5 HDP CHAINS /  78 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

376940;12_12_03;dob;22;11.30;2.60;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C6,G6: 3..:

* INC # C6: 3 # A8: 1,2 => UNS
* INC # C6: 3 # B8: 1,2 => UNS
* INC # C6: 3 # B9: 1,2 => UNS
* INC # C6: 3 # E7: 1,2 => UNS
* INC # C6: 3 # H7: 1,2 => UNS
* INC # C6: 3 # C4: 1,2 => UNS
* INC # C6: 3 # C4: 8,9 => UNS
* INC # C6: 3 => UNS
* INC # G6: 3 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for G4,G6: 3..:

* INC # G4: 3 # A8: 1,2 => UNS
* INC # G4: 3 # B8: 1,2 => UNS
* INC # G4: 3 # B9: 1,2 => UNS
* INC # G4: 3 # E7: 1,2 => UNS
* INC # G4: 3 # H7: 1,2 => UNS
* INC # G4: 3 # C4: 1,2 => UNS
* INC # G4: 3 # C4: 8,9 => UNS
* INC # G4: 3 => UNS
* INC # G6: 3 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for G8,I8: 8..:

* INC # G8: 8 # G1: 2,7 => UNS
* INC # G8: 8 # I3: 2,7 => UNS
* INC # G8: 8 # A3: 2,7 => UNS
* INC # G8: 8 # B3: 2,7 => UNS
* INC # G8: 8 # G9: 2,7 => UNS
* INC # G8: 8 # G9: 1,5 => UNS
* INC # G8: 8 => UNS
* INC # I8: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for A1,A2: 6..:

* INC # A1: 6 # F1: 8,9 => UNS
* INC # A1: 6 # E2: 8,9 => UNS
* INC # A1: 6 # F3: 8,9 => UNS
* INC # A1: 6 # B1: 8,9 => UNS
* INC # A1: 6 # C1: 8,9 => UNS
* INC # A1: 6 # H1: 8,9 => UNS
* INC # A1: 6 # E4: 8,9 => UNS
* INC # A1: 6 # E5: 8,9 => UNS
* INC # A1: 6 => UNS
* INC # A2: 6 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for D4,D9: 5..:

* INC # D9: 5 # I7: 2,7 => UNS
* INC # D9: 5 # G8: 2,7 => UNS
* INC # D9: 5 # I8: 2,7 => UNS
* INC # D9: 5 # G9: 2,7 => UNS
* INC # D9: 5 # B9: 2,7 => UNS
* INC # D9: 5 # B9: 1,9 => UNS
* INC # D9: 5 # I3: 2,7 => UNS
* INC # D9: 5 # I3: 8,9 => UNS
* INC # D9: 5 => UNS
* INC # D4: 5 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for D4,F4: 5..:

* INC # F4: 5 # I7: 2,7 => UNS
* INC # F4: 5 # G8: 2,7 => UNS
* INC # F4: 5 # I8: 2,7 => UNS
* INC # F4: 5 # G9: 2,7 => UNS
* INC # F4: 5 # B9: 2,7 => UNS
* INC # F4: 5 # B9: 1,9 => UNS
* INC # F4: 5 # I3: 2,7 => UNS
* INC # F4: 5 # I3: 8,9 => UNS
* INC # F4: 5 => UNS
* INC # D4: 5 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for B1,B2: 5..:

* INC # B2: 5 # H1: 8,9 => UNS
* INC # B2: 5 # I3: 8,9 => UNS
* INC # B2: 5 # C2: 8,9 => UNS
* INC # B2: 5 # E2: 8,9 => UNS
* INC # B2: 5 # H5: 8,9 => UNS
* INC # B2: 5 # H6: 8,9 => UNS
* INC # B2: 5 => UNS
* INC # B1: 5 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for B4,B7: 4..:

* INC # B4: 4 => UNS
* INC # B7: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A4,A7: 4..:

* INC # A4: 4 => UNS
* INC # A7: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D2,G2: 4..:

* INC # D2: 4 => UNS
* INC # G2: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D1,G1: 4..:

* INC # D1: 4 => UNS
* INC # G1: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A7,B7: 4..:

* INC # A7: 4 => UNS
* INC # B7: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A4,B4: 4..:

* INC # A4: 4 => UNS
* INC # B4: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for G1,G2: 4..:

* INC # G1: 4 => UNS
* INC # G2: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D1,D2: 4..:

* INC # D1: 4 => UNS
* INC # D2: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F1,F3: 3..:

* INC # F1: 3 => UNS
* INC # F3: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for C6,G6: 3..:

* INC # C6: 3 # A8: 1,2 => UNS
* INC # C6: 3 # B8: 1,2 => UNS
* INC # C6: 3 # B9: 1,2 => UNS
* INC # C6: 3 # E7: 1,2 => UNS
* INC # C6: 3 # H7: 1,2 => UNS
* INC # C6: 3 # C4: 1,2 => UNS
* INC # C6: 3 # C4: 8,9 => UNS
* INC # C6: 3 # A8: 1,2 # E7: 1,2 => UNS
* INC # C6: 3 # A8: 1,2 # H7: 1,2 => UNS
* INC # C6: 3 # A8: 1,2 # C4: 1,2 => UNS
* INC # C6: 3 # A8: 1,2 # C4: 8,9 => UNS
* INC # C6: 3 # A8: 1,2 # D8: 1,2 => UNS
* INC # C6: 3 # A8: 1,2 # G8: 1,2 => UNS
* INC # C6: 3 # A8: 1,2 # A3: 1,2 => UNS
* INC # C6: 3 # A8: 1,2 # A4: 1,2 => UNS
* INC # C6: 3 # A8: 1,2 # A5: 1,2 => UNS
* INC # C6: 3 # A8: 1,2 # D8: 7,9 => UNS
* INC # C6: 3 # A8: 1,2 # F8: 7,9 => UNS
* INC # C6: 3 # A8: 1,2 # D9: 7,9 => UNS
* INC # C6: 3 # A8: 1,2 # F9: 7,9 => UNS
* INC # C6: 3 # A8: 1,2 => UNS
* INC # C6: 3 # B8: 1,2 # E7: 1,2 => UNS
* INC # C6: 3 # B8: 1,2 # H7: 1,2 => UNS
* INC # C6: 3 # B8: 1,2 # C4: 1,2 => UNS
* INC # C6: 3 # B8: 1,2 # C4: 8,9 => UNS
* INC # C6: 3 # B8: 1,2 # D8: 7,9 => UNS
* INC # C6: 3 # B8: 1,2 # F8: 7,9 => UNS
* INC # C6: 3 # B8: 1,2 # A1: 7,9 => UNS
* INC # C6: 3 # B8: 1,2 # A2: 7,9 => UNS
* INC # C6: 3 # B8: 1,2 # A3: 7,9 => UNS
* INC # C6: 3 # B8: 1,2 # D8: 1,2 => UNS
* INC # C6: 3 # B8: 1,2 # G8: 1,2 => UNS
* INC # C6: 3 # B8: 1,2 # B3: 1,2 => UNS
* INC # C6: 3 # B8: 1,2 # B4: 1,2 => UNS
* INC # C6: 3 # B8: 1,2 # B5: 1,2 => UNS
* INC # C6: 3 # B8: 1,2 # D9: 7,9 => UNS
* INC # C6: 3 # B8: 1,2 # F9: 7,9 => UNS
* INC # C6: 3 # B8: 1,2 # B1: 7,9 => UNS
* INC # C6: 3 # B8: 1,2 # B2: 7,9 => UNS
* INC # C6: 3 # B8: 1,2 # B3: 7,9 => UNS
* INC # C6: 3 # B8: 1,2 => UNS
* INC # C6: 3 # B9: 1,2 # E7: 1,2 => UNS
* INC # C6: 3 # B9: 1,2 # H7: 1,2 => UNS
* INC # C6: 3 # B9: 1,2 # C4: 1,2 => UNS
* INC # C6: 3 # B9: 1,2 # C4: 8,9 => UNS
* INC # C6: 3 # B9: 1,2 # A1: 7,9 => UNS
* INC # C6: 3 # B9: 1,2 # A2: 7,9 => UNS
* INC # C6: 3 # B9: 1,2 # A3: 7,9 => UNS
* INC # C6: 3 # B9: 1,2 # B1: 7,9 => UNS
* INC # C6: 3 # B9: 1,2 # B2: 7,9 => UNS
* INC # C6: 3 # B9: 1,2 # B3: 7,9 => UNS
* INC # C6: 3 # B9: 1,2 # G9: 1,2 => UNS
* INC # C6: 3 # B9: 1,2 # G9: 5,7 => UNS
* INC # C6: 3 # B9: 1,2 # B3: 1,2 => UNS
* INC # C6: 3 # B9: 1,2 # B4: 1,2 => UNS
* INC # C6: 3 # B9: 1,2 # B5: 1,2 => UNS
* INC # C6: 3 # B9: 1,2 # D9: 5,7 => UNS
* INC # C6: 3 # B9: 1,2 # F9: 5,7 => UNS
* INC # C6: 3 # B9: 1,2 # I7: 5,7 => UNS
* INC # C6: 3 # B9: 1,2 # I7: 2,6 => UNS
* INC # C6: 3 # B9: 1,2 # E7: 1,6 => UNS
* INC # C6: 3 # B9: 1,2 # D8: 1,6 => UNS
* INC # C6: 3 # B9: 1,2 # G8: 1,6 => UNS
* INC # C6: 3 # B9: 1,2 # G8: 2,8 => UNS
* INC # C6: 3 # B9: 1,2 # F4: 1,6 => UNS
* INC # C6: 3 # B9: 1,2 # F4: 5,8,9 => UNS
* INC # C6: 3 # B9: 1,2 => UNS
* DIS # C6: 3 # E7: 1,2 # D2: 1,9 => CTR => D2: 4,6,7
* INC # C6: 3 # E7: 1,2 + D2: 4,6,7 # E2: 1,9 => UNS
* DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 # F3: 1,9 => CTR => F3: 3,8
* INC # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 # E2: 1,9 => UNS
* INC # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 # E2: 6,8 => UNS
* DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 # A3: 1,9 => CTR => A3: 2,3
* DIS # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3 # B3: 1,9 => CTR => B3: 2,3,8
* INC # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3 + B3: 2,3,8 # I4: 2,8 => UNS
* PRF # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3 + B3: 2,3,8 # G5: 2,8 => SOL
* STA # C6: 3 # E7: 1,2 + D2: 4,6,7 + F3: 3,8 + A3: 2,3 + B3: 2,3,8 + G5: 2,8
* CNT  76 HDP CHAINS /  78 HYP OPENED