Analysis of xx-ph-00698030-12_12_19-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1..2..3....4.25..6......76....682..4.4.......2.5..7.....68.....92..68..5. initial

Autosolve

position: ........1..2..3....4.25..6..2...76....682..4.4.......2.5..7...6.68.....92..68..5. 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: 0:00:00.000006

List of important HDP chains detected for A4,B6: 8..:

* DIS # A4: 8 # G1: 7,9 => CTR => G1: 2,3,4,5
* PRF # A4: 8 + G1: 2,3,4,5 # G2: 7,9 => SOL
* STA # A4: 8 + G1: 2,3,4,5 + G2: 7,9
* CNT   2 HDP CHAINS /   4 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..2..3....4.25..6......76....682..4.4.......2.5..7.....68.....92..68..5. initial
........1..2..3....4.25..6..2...76....682..4.4.......2.5..7...6.68.....92..68..5. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G1,H1: 2.. / G1 = 2  =>  2 pairs (_) / H1 = 2  =>  0 pairs (_)
F7,F8: 2.. / F7 = 2  =>  0 pairs (_) / F8 = 2  =>  2 pairs (_)
D4,E4: 4.. / D4 = 4  =>  1 pairs (_) / E4 = 4  =>  2 pairs (_)
C7,C9: 4.. / C7 = 4  =>  0 pairs (_) / C9 = 4  =>  2 pairs (_)
I2,I9: 4.. / I2 = 4  =>  1 pairs (_) / I9 = 4  =>  1 pairs (_)
D8,F8: 5.. / D8 = 5  =>  0 pairs (_) / F8 = 5  =>  1 pairs (_)
A1,A2: 6.. / A1 = 6  =>  1 pairs (_) / A2 = 6  =>  0 pairs (_)
E6,F6: 6.. / E6 = 6  =>  3 pairs (_) / F6 = 6  =>  0 pairs (_)
A2,E2: 6.. / A2 = 6  =>  0 pairs (_) / E2 = 6  =>  1 pairs (_)
F1,F6: 6.. / F1 = 6  =>  3 pairs (_) / F6 = 6  =>  0 pairs (_)
D1,D2: 7.. / D1 = 7  =>  0 pairs (_) / D2 = 7  =>  2 pairs (_)
F1,F3: 8.. / F1 = 8  =>  2 pairs (_) / F3 = 8  =>  1 pairs (_)
A4,B6: 8.. / A4 = 8  =>  2 pairs (_) / B6 = 8  =>  0 pairs (_)
G7,H7: 8.. / G7 = 8  =>  0 pairs (_) / H7 = 8  =>  1 pairs (_)
* DURATION: 0:00:09.790454  START: 23:38:59.017268  END: 23:39:08.807722 2020-12-29
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F1,F6: 6.. / F1 = 6 ==>  3 pairs (_) / F6 = 6 ==>  0 pairs (_)
E6,F6: 6.. / E6 = 6 ==>  3 pairs (_) / F6 = 6 ==>  0 pairs (_)
F1,F3: 8.. / F1 = 8 ==>  2 pairs (_) / F3 = 8 ==>  1 pairs (_)
D4,E4: 4.. / D4 = 4 ==>  1 pairs (_) / E4 = 4 ==>  2 pairs (_)
A4,B6: 8.. / A4 = 8 ==>  0 pairs (*) / B6 = 8  =>  0 pairs (X)
* DURATION: 0:00:56.531437  START: 23:39:08.808390  END: 23:40:05.339827 2020-12-29
* REASONING A4,B6: 8..
* DIS # A4: 8 # G1: 7,9 => CTR => G1: 2,3,4,5
* PRF # A4: 8 + G1: 2,3,4,5 # G2: 7,9 => SOL
* STA # A4: 8 + G1: 2,3,4,5 + G2: 7,9
* CNT   2 HDP CHAINS /   4 HYP OPENED
* DCP COUNT: (5)
* SOLUTION FOUND

Header Info

698030;12_12_19;dob;24;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F1,F6: 6..:

* INC # F1: 6 # D1: 4,9 => UNS
* INC # F1: 6 # D2: 4,9 => UNS
* INC # F1: 6 # E2: 4,9 => UNS
* INC # F1: 6 # G1: 4,9 => UNS
* INC # F1: 6 # G1: 2,3,7,8 => UNS
* INC # F1: 6 # E4: 4,9 => UNS
* INC # F1: 6 # E4: 1,3 => UNS
* INC # F1: 6 # G1: 3,7 => UNS
* INC # F1: 6 # H1: 3,7 => UNS
* INC # F1: 6 # G3: 3,7 => UNS
* INC # F1: 6 # A3: 3,7 => UNS
* INC # F1: 6 # C3: 3,7 => UNS
* INC # F1: 6 # I5: 3,7 => UNS
* INC # F1: 6 # I9: 3,7 => UNS
* INC # F1: 6 # D7: 1,3 => UNS
* INC # F1: 6 # D8: 1,3 => UNS
* INC # F1: 6 # A8: 1,3 => UNS
* INC # F1: 6 # G8: 1,3 => UNS
* INC # F1: 6 # H8: 1,3 => UNS
* INC # F1: 6 # E4: 1,3 => UNS
* INC # F1: 6 # E4: 4,9 => UNS
* INC # F1: 6 => UNS
* INC # F6: 6 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for E6,F6: 6..:

* INC # E6: 6 # D1: 4,9 => UNS
* INC # E6: 6 # D2: 4,9 => UNS
* INC # E6: 6 # E2: 4,9 => UNS
* INC # E6: 6 # G1: 4,9 => UNS
* INC # E6: 6 # G1: 2,3,7,8 => UNS
* INC # E6: 6 # E4: 4,9 => UNS
* INC # E6: 6 # E4: 1,3 => UNS
* INC # E6: 6 # G1: 3,7 => UNS
* INC # E6: 6 # H1: 3,7 => UNS
* INC # E6: 6 # G3: 3,7 => UNS
* INC # E6: 6 # A3: 3,7 => UNS
* INC # E6: 6 # C3: 3,7 => UNS
* INC # E6: 6 # I5: 3,7 => UNS
* INC # E6: 6 # I9: 3,7 => UNS
* INC # E6: 6 # D7: 1,3 => UNS
* INC # E6: 6 # D8: 1,3 => UNS
* INC # E6: 6 # A8: 1,3 => UNS
* INC # E6: 6 # G8: 1,3 => UNS
* INC # E6: 6 # H8: 1,3 => UNS
* INC # E6: 6 # E4: 1,3 => UNS
* INC # E6: 6 # E4: 4,9 => UNS
* INC # E6: 6 => UNS
* INC # F6: 6 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for F1,F3: 8..:

* INC # F1: 8 # D2: 1,9 => UNS
* INC # F1: 8 # E2: 1,9 => UNS
* INC # F1: 8 # A3: 1,9 => UNS
* INC # F1: 8 # C3: 1,9 => UNS
* INC # F1: 8 # F5: 1,9 => UNS
* INC # F1: 8 # F7: 1,9 => UNS
* INC # F1: 8 # F9: 1,9 => UNS
* INC # F1: 8 # D7: 1,3 => UNS
* INC # F1: 8 # D8: 1,3 => UNS
* INC # F1: 8 # A8: 1,3 => UNS
* INC # F1: 8 # G8: 1,3 => UNS
* INC # F1: 8 # H8: 1,3 => UNS
* INC # F1: 8 # E4: 1,3 => UNS
* INC # F1: 8 # E6: 1,3 => UNS
* INC # F1: 8 => UNS
* INC # F3: 8 # G1: 3,7 => UNS
* INC # F3: 8 # H1: 3,7 => UNS
* INC # F3: 8 # G3: 3,7 => UNS
* INC # F3: 8 # A3: 3,7 => UNS
* INC # F3: 8 # C3: 3,7 => UNS
* INC # F3: 8 # I5: 3,7 => UNS
* INC # F3: 8 # I9: 3,7 => UNS
* INC # F3: 8 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for D4,E4: 4..:

* INC # E4: 4 # F1: 6,9 => UNS
* INC # E4: 4 # E2: 6,9 => UNS
* INC # E4: 4 # A1: 6,9 => UNS
* INC # E4: 4 # A1: 3,5,7,8 => UNS
* INC # E4: 4 # E6: 6,9 => UNS
* INC # E4: 4 # E6: 1,3 => UNS
* INC # E4: 4 # D7: 1,3 => UNS
* INC # E4: 4 # D8: 1,3 => UNS
* INC # E4: 4 # A8: 1,3 => UNS
* INC # E4: 4 # G8: 1,3 => UNS
* INC # E4: 4 # H8: 1,3 => UNS
* INC # E4: 4 # E6: 1,3 => UNS
* INC # E4: 4 # E6: 6,9 => UNS
* INC # E4: 4 => UNS
* INC # D4: 4 # D2: 7,9 => UNS
* INC # D4: 4 # D2: 1 => UNS
* INC # D4: 4 # A1: 7,9 => UNS
* INC # D4: 4 # B1: 7,9 => UNS
* INC # D4: 4 # C1: 7,9 => UNS
* INC # D4: 4 # G1: 7,9 => UNS
* INC # D4: 4 # H1: 7,9 => UNS
* INC # D4: 4 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for A4,B6: 8..:

* DIS # A4: 8 # G1: 7,9 => CTR => G1: 2,3,4,5
* INC # A4: 8 + G1: 2,3,4,5 # H1: 7,9 => UNS
* PRF # A4: 8 + G1: 2,3,4,5 # G2: 7,9 => SOL
* STA # A4: 8 + G1: 2,3,4,5 + G2: 7,9
* CNT   3 HDP CHAINS /   4 HYP OPENED