Analysis of xx-ph-00701911-12_12_19-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1....23.4...45..2....2.....4.6....7..75.4...2...57.46...8.2.....9...8..7. initial

Autosolve

position: ....4...1....23.4...45..2....2.....446...27..75.4...2...57.46...872..4..94..8..72 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for F9,G9: 5..:

* DIS # G9: 5 # H1: 8,9 => CTR => H1: 3,5,6
* DIS # G9: 5 + H1: 3,5,6 # I2: 8,9 => CTR => I2: 5,6,7
* DIS # G9: 5 + H1: 3,5,6 + I2: 5,6,7 # I3: 8,9 => CTR => I3: 3,6,7
* CNT   3 HDP CHAINS /  59 HYP OPENED

List of important HDP chains detected for E3,E4: 7..:

* PRF # E3: 7 # C2: 1,9 => SOL
* STA # E3: 7 + C2: 1,9
* CNT   1 HDP CHAINS /   2 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

........1....23.4...45..2....2.....4.6....7..75.4...2...57.46...8.2.....9...8..7. initial
....4...1....23.4...45..2....2.....446...27..75.4...2...57.46...872..4..94..8..72 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A1,B1: 2.. / A1 = 2  =>  2 pairs (_) / B1 = 2  =>  1 pairs (_)
A7,B7: 2.. / A7 = 2  =>  1 pairs (_) / B7 = 2  =>  2 pairs (_)
A1,A7: 2.. / A1 = 2  =>  2 pairs (_) / A7 = 2  =>  1 pairs (_)
B1,B7: 2.. / B1 = 2  =>  1 pairs (_) / B7 = 2  =>  2 pairs (_)
A1,A2: 5.. / A1 = 5  =>  1 pairs (_) / A2 = 5  =>  1 pairs (_)
F9,G9: 5.. / F9 = 5  =>  1 pairs (_) / G9 = 5  =>  3 pairs (_)
H4,I6: 6.. / H4 = 6  =>  2 pairs (_) / I6 = 6  =>  0 pairs (_)
A8,C9: 6.. / A8 = 6  =>  1 pairs (_) / C9 = 6  =>  3 pairs (_)
I2,I3: 7.. / I2 = 7  =>  1 pairs (_) / I3 = 7  =>  0 pairs (_)
E4,F4: 7.. / E4 = 7  =>  0 pairs (_) / F4 = 7  =>  3 pairs (_)
B1,F1: 7.. / B1 = 7  =>  3 pairs (_) / F1 = 7  =>  0 pairs (_)
B2,I2: 7.. / B2 = 7  =>  0 pairs (_) / I2 = 7  =>  1 pairs (_)
E3,E4: 7.. / E3 = 7  =>  3 pairs (_) / E4 = 7  =>  0 pairs (_)
H7,I7: 8.. / H7 = 8  =>  1 pairs (_) / I7 = 8  =>  0 pairs (_)
* DURATION: 0:00:10.023530  START: 16:30:01.068119  END: 16:30:11.091649 2020-10-02
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A8,C9: 6.. / A8 = 6 ==>  1 pairs (_) / C9 = 6 ==>  3 pairs (_)
F9,G9: 5.. / F9 = 5 ==>  1 pairs (_) / G9 = 5 ==>  3 pairs (_)
E3,E4: 7.. / E3 = 7 ==>  0 pairs (*) / E4 = 7  =>  0 pairs (X)
* DURATION: 0:00:53.559570  START: 16:30:11.092264  END: 16:31:04.651834 2020-10-02
* REASONING F9,G9: 5..
* DIS # G9: 5 # H1: 8,9 => CTR => H1: 3,5,6
* DIS # G9: 5 + H1: 3,5,6 # I2: 8,9 => CTR => I2: 5,6,7
* DIS # G9: 5 + H1: 3,5,6 + I2: 5,6,7 # I3: 8,9 => CTR => I3: 3,6,7
* CNT   3 HDP CHAINS /  59 HYP OPENED
* REASONING E3,E4: 7..
* PRF # E3: 7 # C2: 1,9 => SOL
* STA # E3: 7 + C2: 1,9
* CNT   1 HDP CHAINS /   2 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

701911;12_12_19;dob;24;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A8,C9: 6..:

* INC # C9: 6 # A7: 1,3 => UNS
* INC # C9: 6 # B7: 1,3 => UNS
* INC # C9: 6 # E8: 1,3 => UNS
* INC # C9: 6 # H8: 1,3 => UNS
* INC # C9: 6 # A3: 1,3 => UNS
* INC # C9: 6 # A4: 1,3 => UNS
* INC # C9: 6 # E7: 1,3 => UNS
* INC # C9: 6 # E8: 1,3 => UNS
* INC # C9: 6 # G9: 1,3 => UNS
* INC # C9: 6 # G9: 5 => UNS
* INC # C9: 6 # D4: 1,3 => UNS
* INC # C9: 6 # D5: 1,3 => UNS
* INC # C9: 6 # E8: 1,5 => UNS
* INC # C9: 6 # F8: 1,5 => UNS
* INC # C9: 6 # G9: 1,5 => UNS
* INC # C9: 6 # G9: 3 => UNS
* INC # C9: 6 # F4: 1,5 => UNS
* INC # C9: 6 # F4: 6,7,8,9 => UNS
* INC # C9: 6 => UNS
* INC # A8: 6 # A7: 1,3 => UNS
* INC # A8: 6 # B7: 1,3 => UNS
* INC # A8: 6 # D9: 1,3 => UNS
* INC # A8: 6 # G9: 1,3 => UNS
* INC # A8: 6 # C5: 1,3 => UNS
* INC # A8: 6 # C6: 1,3 => UNS
* INC # A8: 6 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for F9,G9: 5..:

* INC # G9: 5 # G1: 8,9 => UNS
* DIS # G9: 5 # H1: 8,9 => CTR => H1: 3,5,6
* DIS # G9: 5 + H1: 3,5,6 # I2: 8,9 => CTR => I2: 5,6,7
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 # H3: 8,9 => UNS
* DIS # G9: 5 + H1: 3,5,6 + I2: 5,6,7 # I3: 8,9 => CTR => I3: 3,6,7
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # C2: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # D2: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # G4: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # G6: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # G1: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # H3: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # C2: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # D2: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # G4: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # G6: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # E8: 1,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # F8: 1,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # D9: 1,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # C9: 1,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # C9: 3 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # F3: 1,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # F4: 1,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # F6: 1,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # H7: 3,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # I7: 3,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # H8: 3,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # E8: 3,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # E8: 1,5,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # I5: 3,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # I6: 3,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # G1: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # H3: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # C2: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # D2: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # G4: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # G6: 8,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # E8: 1,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # F8: 1,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # D9: 1,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # C9: 1,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # C9: 3 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # F3: 1,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # F4: 1,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # F6: 1,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # H7: 3,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # I7: 3,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # H8: 3,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # E8: 3,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # E8: 1,5,6 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # I5: 3,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 # I6: 3,9 => UNS
* INC # G9: 5 + H1: 3,5,6 + I2: 5,6,7 + I3: 3,6,7 => UNS
* INC # F9: 5 # H7: 1,3 => UNS
* INC # F9: 5 # H8: 1,3 => UNS
* INC # F9: 5 # C9: 1,3 => UNS
* INC # F9: 5 # D9: 1,3 => UNS
* INC # F9: 5 # G4: 1,3 => UNS
* INC # F9: 5 # G6: 1,3 => UNS
* INC # F9: 5 => UNS
* CNT  59 HDP CHAINS /  59 HYP OPENED

Full list of HDP chains traversed for E3,E4: 7..:

* PRF # E3: 7 # C2: 1,9 => SOL
* STA # E3: 7 + C2: 1,9
* CNT   1 HDP CHAINS /   2 HYP OPENED