Analysis of xx-ph-00000542-859-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ...4.67....7..9..6....7..5.2......1...4.9.6...8......33.......8..6.4.5...1.2..... initial

Autosolve

position: ...4.67....7..9..6....7..5.2......1...4.9.6...8......33.......8..6.4.5...1.2..... 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

Time used: 0:00:00.000013

List of important HDP chains detected for I4,I5: 5..:

* DIS # I4: 5 # B4: 3,9 => CTR => B4: 6,7
* CNT   1 HDP CHAINS /  31 HYP OPENED

List of important HDP chains detected for D7,D8: 9..:

* DIS # D8: 9 # A9: 7,8 => CTR => A9: 4,5,9
* DIS # D8: 9 + A9: 4,5,9 # B7: 2,7 => CTR => B7: 4,5,9
* CNT   2 HDP CHAINS /  16 HYP OPENED

List of important HDP chains detected for G4,H5: 8..:

* DIS # G4: 8 # F5: 2,7 => CTR => F5: 1,3,5,8
* PRF # G4: 8 + F5: 1,3,5,8 # G7: 4,9 => SOL
* STA # G4: 8 + F5: 1,3,5,8 + G7: 4,9
* CNT   2 HDP CHAINS /  18 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

...4.67....7..9..6....7..5.2......1...4.9.6...8......33.......8..6.4.5...1.2..... initial
...4.67....7..9..6....7..5.2......1...4.9.6...8......33.......8..6.4.5...1.2..... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G7,I8: 1.. / G7 = 1  =>  2 pairs (_) / I8 = 1  =>  1 pairs (_)
F4,F6: 4.. / F4 = 4  =>  1 pairs (_) / F6 = 4  =>  1 pairs (_)
B7,A9: 4.. / B7 = 4  =>  0 pairs (_) / A9 = 4  =>  2 pairs (_)
I4,I5: 5.. / I4 = 5  =>  2 pairs (_) / I5 = 5  =>  2 pairs (_)
A3,B3: 6.. / A3 = 6  =>  0 pairs (_) / B3 = 6  =>  0 pairs (_)
B4,A6: 6.. / B4 = 6  =>  0 pairs (_) / A6 = 6  =>  0 pairs (_)
H7,H9: 6.. / H7 = 6  =>  1 pairs (_) / H9 = 6  =>  0 pairs (_)
E9,H9: 6.. / E9 = 6  =>  1 pairs (_) / H9 = 6  =>  0 pairs (_)
A3,A6: 6.. / A3 = 6  =>  0 pairs (_) / A6 = 6  =>  0 pairs (_)
B3,B4: 6.. / B3 = 6  =>  0 pairs (_) / B4 = 6  =>  0 pairs (_)
G4,H5: 8.. / G4 = 8  =>  1 pairs (_) / H5 = 8  =>  1 pairs (_)
D7,D8: 9.. / D7 = 9  =>  1 pairs (_) / D8 = 9  =>  2 pairs (_)
* DURATION: 0:00:08.445386  START: 02:32:44.728886  END: 02:32:53.174272 2020-11-19
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I4,I5: 5.. / I4 = 5 ==>  3 pairs (_) / I5 = 5 ==>  2 pairs (_)
D7,D8: 9.. / D7 = 9 ==>  1 pairs (_) / D8 = 9 ==>  4 pairs (_)
G7,I8: 1.. / G7 = 1 ==>  2 pairs (_) / I8 = 1 ==>  1 pairs (_)
B7,A9: 4.. / B7 = 4 ==>  0 pairs (_) / A9 = 4 ==>  2 pairs (_)
G4,H5: 8.. / G4 = 8 ==>  0 pairs (*) / H5 = 8  =>  0 pairs (X)
* DURATION: 0:01:01.471778  START: 02:32:53.175039  END: 02:33:54.646817 2020-11-19
* REASONING I4,I5: 5..
* DIS # I4: 5 # B4: 3,9 => CTR => B4: 6,7
* CNT   1 HDP CHAINS /  31 HYP OPENED
* REASONING D7,D8: 9..
* DIS # D8: 9 # A9: 7,8 => CTR => A9: 4,5,9
* DIS # D8: 9 + A9: 4,5,9 # B7: 2,7 => CTR => B7: 4,5,9
* CNT   2 HDP CHAINS /  16 HYP OPENED
* REASONING G4,H5: 8..
* DIS # G4: 8 # F5: 2,7 => CTR => F5: 1,3,5,8
* PRF # G4: 8 + F5: 1,3,5,8 # G7: 4,9 => SOL
* STA # G4: 8 + F5: 1,3,5,8 + G7: 4,9
* CNT   2 HDP CHAINS /  18 HYP OPENED
* DCP COUNT: (5)
* SOLUTION FOUND

Header Info

542;859;elev;22;11.30;11.30;11.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I4,I5: 5..:

* DIS # I4: 5 # B4: 3,9 => CTR => B4: 6,7
* INC # I4: 5 + B4: 6,7 # C1: 3,9 => UNS
* INC # I4: 5 + B4: 6,7 # C3: 3,9 => UNS
* INC # I4: 5 + B4: 6,7 # H5: 2,7 => UNS
* INC # I4: 5 + B4: 6,7 # H6: 2,7 => UNS
* INC # I4: 5 + B4: 6,7 # F5: 2,7 => UNS
* INC # I4: 5 + B4: 6,7 # F5: 1,3,5,8 => UNS
* INC # I4: 5 + B4: 6,7 # I8: 2,7 => UNS
* INC # I4: 5 + B4: 6,7 # I8: 1,9 => UNS
* INC # I4: 5 + B4: 6,7 # A6: 6,7 => UNS
* INC # I4: 5 + B4: 6,7 # A6: 1,5,9 => UNS
* INC # I4: 5 + B4: 6,7 # D4: 6,7 => UNS
* INC # I4: 5 + B4: 6,7 # D4: 3,8 => UNS
* INC # I4: 5 + B4: 6,7 # C1: 3,9 => UNS
* INC # I4: 5 + B4: 6,7 # C3: 3,9 => UNS
* INC # I4: 5 + B4: 6,7 # H5: 2,7 => UNS
* INC # I4: 5 + B4: 6,7 # H6: 2,7 => UNS
* INC # I4: 5 + B4: 6,7 # F5: 2,7 => UNS
* INC # I4: 5 + B4: 6,7 # F5: 1,3,5,8 => UNS
* INC # I4: 5 + B4: 6,7 # I8: 2,7 => UNS
* INC # I4: 5 + B4: 6,7 # I8: 1,9 => UNS
* INC # I4: 5 + B4: 6,7 => UNS
* INC # I5: 5 # A6: 1,7 => UNS
* INC # I5: 5 # A6: 5,6,9 => UNS
* INC # I5: 5 # D5: 1,7 => UNS
* INC # I5: 5 # F5: 1,7 => UNS
* INC # I5: 5 # B4: 3,7 => UNS
* INC # I5: 5 # B4: 5,6,9 => UNS
* INC # I5: 5 # D5: 3,7 => UNS
* INC # I5: 5 # F5: 3,7 => UNS
* INC # I5: 5 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for D7,D8: 9..:

* DIS # D8: 9 # A9: 7,8 => CTR => A9: 4,5,9
* INC # D8: 9 + A9: 4,5,9 # F8: 7,8 => UNS
* INC # D8: 9 + A9: 4,5,9 # F8: 1,3 => UNS
* DIS # D8: 9 + A9: 4,5,9 # B7: 2,7 => CTR => B7: 4,5,9
* INC # D8: 9 + A9: 4,5,9 + B7: 4,5,9 # H1: 2,3 => UNS
* INC # D8: 9 + A9: 4,5,9 + B7: 4,5,9 # H2: 2,3 => UNS
* INC # D8: 9 + A9: 4,5,9 + B7: 4,5,9 # G7: 1,2 => UNS
* INC # D8: 9 + A9: 4,5,9 + B7: 4,5,9 # G7: 4,9 => UNS
* INC # D8: 9 + A9: 4,5,9 + B7: 4,5,9 # I1: 1,2 => UNS
* INC # D8: 9 + A9: 4,5,9 + B7: 4,5,9 # I3: 1,2 => UNS
* INC # D8: 9 + A9: 4,5,9 + B7: 4,5,9 => UNS
* INC # D7: 9 # B7: 2,5 => UNS
* INC # D7: 9 # B7: 4,7 => UNS
* INC # D7: 9 # C1: 2,5 => UNS
* INC # D7: 9 # C1: 1,3,8,9 => UNS
* INC # D7: 9 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for G7,I8: 1..:

* INC # G7: 1 # D7: 5,6 => UNS
* INC # G7: 1 # E9: 5,6 => UNS
* INC # G7: 1 # E4: 5,6 => UNS
* INC # G7: 1 # E6: 5,6 => UNS
* INC # G7: 1 # D7: 5,7 => UNS
* INC # G7: 1 # F9: 5,7 => UNS
* INC # G7: 1 # B7: 5,7 => UNS
* INC # G7: 1 # B7: 2,4,9 => UNS
* INC # G7: 1 # F4: 5,7 => UNS
* INC # G7: 1 # F5: 5,7 => UNS
* INC # G7: 1 # F6: 5,7 => UNS
* INC # G7: 1 => UNS
* INC # I8: 1 # H1: 2,9 => UNS
* INC # I8: 1 # G3: 2,9 => UNS
* INC # I8: 1 # I3: 2,9 => UNS
* INC # I8: 1 # B1: 2,9 => UNS
* INC # I8: 1 # C1: 2,9 => UNS
* INC # I8: 1 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for B7,A9: 4..:

* INC # A9: 4 # H8: 3,9 => UNS
* INC # A9: 4 # H9: 3,9 => UNS
* INC # A9: 4 # G3: 3,9 => UNS
* INC # A9: 4 # G3: 1,2,4,8 => UNS
* INC # A9: 4 # H7: 7,9 => UNS
* INC # A9: 4 # H8: 7,9 => UNS
* INC # A9: 4 # I8: 7,9 => UNS
* INC # A9: 4 # H9: 7,9 => UNS
* INC # A9: 4 # I4: 7,9 => UNS
* INC # A9: 4 # I4: 4,5 => UNS
* INC # A9: 4 => UNS
* INC # B7: 4 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for G4,H5: 8..:

* INC # G4: 8 # I5: 2,7 => UNS
* INC # G4: 8 # H6: 2,7 => UNS
* DIS # G4: 8 # F5: 2,7 => CTR => F5: 1,3,5,8
* INC # G4: 8 + F5: 1,3,5,8 # H7: 2,7 => UNS
* INC # G4: 8 + F5: 1,3,5,8 # H8: 2,7 => UNS
* INC # G4: 8 + F5: 1,3,5,8 # I5: 2,7 => UNS
* INC # G4: 8 + F5: 1,3,5,8 # I5: 5 => UNS
* INC # G4: 8 + F5: 1,3,5,8 # H7: 2,7 => UNS
* INC # G4: 8 + F5: 1,3,5,8 # H8: 2,7 => UNS
* INC # G4: 8 + F5: 1,3,5,8 # I5: 2,7 => UNS
* INC # G4: 8 + F5: 1,3,5,8 # I5: 5 => UNS
* INC # G4: 8 + F5: 1,3,5,8 # H7: 2,7 => UNS
* INC # G4: 8 + F5: 1,3,5,8 # H8: 2,7 => UNS
* INC # G4: 8 + F5: 1,3,5,8 # I4: 4,9 => UNS
* INC # G4: 8 + F5: 1,3,5,8 # H6: 4,9 => UNS
* INC # G4: 8 + F5: 1,3,5,8 # G3: 4,9 => UNS
* PRF # G4: 8 + F5: 1,3,5,8 # G7: 4,9 => SOL
* STA # G4: 8 + F5: 1,3,5,8 + G7: 4,9
* CNT  17 HDP CHAINS /  18 HYP OPENED