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

Contents

Original Sudoku

level: very deep

Original Sudoku

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
Autosolve

Pair Reduction Variants

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

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

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

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