Analysis of xx-ph-00248043-12_12_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1.....2..3..213..4......5.....326.4..67.8.......16....4.2...8.6.9......2. initial

Autosolve

position: ......2.1.....2..3..213..4.2....5.....326.4..67.8....2..162...4.2...8.6.9......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

Time used: 0:00:00.000007

List of important HDP chains detected for I3,I4: 6..:

* DIS # I3: 6 # F5: 7,9 => CTR => F5: 1
* DIS # I3: 6 + F5: 1 # F7: 3 => CTR => F7: 7,9
* DIS # I3: 6 + F5: 1 + F7: 7,9 # B5: 5,8 => CTR => B5: 9
* DIS # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 # A1: 5,8 => CTR => A1: 3,4,7
* PRF # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # H4: 8,9 => SOL
* STA # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 + H4: 8,9
* CNT   5 HDP CHAINS /  41 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..213..4......5.....326.4..67.8.......16....4.2...8.6.9......2. initial
......2.1.....2..3..213..4.2....5.....326.4..67.8....2..162...4.2...8.6.9......2. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A2,B2: 1.. / A2 = 1  =>  1 pairs (_) / B2 = 1  =>  1 pairs (_)
G8,G9: 1.. / G8 = 1  =>  0 pairs (_) / G9 = 1  =>  1 pairs (_)
E8,G8: 1.. / E8 = 1  =>  1 pairs (_) / G8 = 1  =>  0 pairs (_)
A2,A5: 1.. / A2 = 1  =>  1 pairs (_) / A5 = 1  =>  1 pairs (_)
A1,B1: 3.. / A1 = 3  =>  0 pairs (_) / B1 = 3  =>  1 pairs (_)
D4,F6: 3.. / D4 = 3  =>  0 pairs (_) / F6 = 3  =>  2 pairs (_)
F1,F3: 6.. / F1 = 6  =>  1 pairs (_) / F3 = 6  =>  0 pairs (_)
G4,I4: 6.. / G4 = 6  =>  1 pairs (_) / I4 = 6  =>  0 pairs (_)
B9,C9: 6.. / B9 = 6  =>  0 pairs (_) / C9 = 6  =>  0 pairs (_)
I3,I4: 6.. / I3 = 6  =>  1 pairs (_) / I4 = 6  =>  0 pairs (_)
E1,E2: 8.. / E1 = 8  =>  0 pairs (_) / E2 = 8  =>  0 pairs (_)
* DURATION: 0:00:07.229171  START: 16:19:57.377422  END: 16:20:04.606593 2020-10-01
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D4,F6: 3.. / D4 = 3 ==>  0 pairs (_) / F6 = 3 ==>  2 pairs (_)
A2,A5: 1.. / A2 = 1 ==>  1 pairs (_) / A5 = 1 ==>  1 pairs (_)
A2,B2: 1.. / A2 = 1 ==>  1 pairs (_) / B2 = 1 ==>  1 pairs (_)
I3,I4: 6.. / I3 = 6 ==>  0 pairs (*) / I4 = 6  =>  0 pairs (X)
* DURATION: 0:00:52.956242  START: 16:20:04.607203  END: 16:20:57.563445 2020-10-01
* REASONING I3,I4: 6..
* DIS # I3: 6 # F5: 7,9 => CTR => F5: 1
* DIS # I3: 6 + F5: 1 # F7: 3 => CTR => F7: 7,9
* DIS # I3: 6 + F5: 1 + F7: 7,9 # B5: 5,8 => CTR => B5: 9
* DIS # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 # A1: 5,8 => CTR => A1: 3,4,7
* PRF # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # H4: 8,9 => SOL
* STA # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 + H4: 8,9
* CNT   5 HDP CHAINS /  41 HYP OPENED
* DCP COUNT: (4)
* SOLUTION FOUND

Header Info

248043;12_12_03;dob;23;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D4,F6: 3..:

* INC # F6: 3 # H5: 5,9 => UNS
* INC # F6: 3 # I5: 5,9 => UNS
* INC # F6: 3 # H6: 5,9 => UNS
* INC # F6: 3 # C6: 5,9 => UNS
* INC # F6: 3 # C6: 4 => UNS
* INC # F6: 3 # G2: 5,9 => UNS
* INC # F6: 3 # G3: 5,9 => UNS
* INC # F6: 3 # G7: 5,9 => UNS
* INC # F6: 3 # G8: 5,9 => UNS
* INC # F6: 3 # D8: 7,9 => UNS
* INC # F6: 3 # E8: 7,9 => UNS
* INC # F6: 3 # G7: 7,9 => UNS
* INC # F6: 3 # H7: 7,9 => UNS
* INC # F6: 3 # F1: 7,9 => UNS
* INC # F6: 3 # F3: 7,9 => UNS
* INC # F6: 3 # F5: 7,9 => UNS
* INC # F6: 3 => UNS
* INC # D4: 3 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for A2,A5: 1..:

* INC # A2: 1 # B5: 5,8 => UNS
* INC # A2: 1 # B5: 1,9 => UNS
* INC # A2: 1 # H5: 5,8 => UNS
* INC # A2: 1 # I5: 5,8 => UNS
* INC # A2: 1 # A1: 5,8 => UNS
* INC # A2: 1 # A3: 5,8 => UNS
* INC # A2: 1 # A7: 5,8 => UNS
* INC # A2: 1 => UNS
* INC # A5: 1 # D4: 7,9 => UNS
* INC # A5: 1 # E4: 7,9 => UNS
* INC # A5: 1 # H5: 7,9 => UNS
* INC # A5: 1 # I5: 7,9 => UNS
* INC # A5: 1 # F1: 7,9 => UNS
* INC # A5: 1 # F3: 7,9 => UNS
* INC # A5: 1 # F7: 7,9 => UNS
* INC # A5: 1 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for A2,B2: 1..:

* INC # A2: 1 # B5: 5,8 => UNS
* INC # A2: 1 # B5: 1,9 => UNS
* INC # A2: 1 # H5: 5,8 => UNS
* INC # A2: 1 # I5: 5,8 => UNS
* INC # A2: 1 # A1: 5,8 => UNS
* INC # A2: 1 # A3: 5,8 => UNS
* INC # A2: 1 # A7: 5,8 => UNS
* INC # A2: 1 => UNS
* INC # B2: 1 # D4: 7,9 => UNS
* INC # B2: 1 # E4: 7,9 => UNS
* INC # B2: 1 # H5: 7,9 => UNS
* INC # B2: 1 # I5: 7,9 => UNS
* INC # B2: 1 # F1: 7,9 => UNS
* INC # B2: 1 # F3: 7,9 => UNS
* INC # B2: 1 # F7: 7,9 => UNS
* INC # B2: 1 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for I3,I4: 6..:

* INC # I3: 6 # D1: 7,9 => UNS
* INC # I3: 6 # E1: 7,9 => UNS
* INC # I3: 6 # D2: 7,9 => UNS
* INC # I3: 6 # E2: 7,9 => UNS
* INC # I3: 6 # G3: 7,9 => UNS
* INC # I3: 6 # G3: 5,8 => UNS
* DIS # I3: 6 # F5: 7,9 => CTR => F5: 1
* INC # I3: 6 + F5: 1 # F7: 7,9 => UNS
* INC # I3: 6 + F5: 1 # F7: 7,9 => UNS
* DIS # I3: 6 + F5: 1 # F7: 3 => CTR => F7: 7,9
* INC # I3: 6 + F5: 1 + F7: 7,9 # D1: 7,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 # E1: 7,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 # D2: 7,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 # E2: 7,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 # G3: 7,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 # G3: 5,8 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 # D1: 7,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 # E1: 7,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 # D2: 7,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 # E2: 7,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 # G3: 7,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 # G3: 5,8 => UNS
* DIS # I3: 6 + F5: 1 + F7: 7,9 # B5: 5,8 => CTR => B5: 9
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 # H5: 5,8 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 # I5: 5,8 => UNS
* DIS # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 # A1: 5,8 => CTR => A1: 3,4,7
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # A3: 5,8 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # A7: 5,8 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # H5: 5,8 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # I5: 5,8 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # A3: 5,8 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # A7: 5,8 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # D4: 4,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # E4: 4,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # E1: 4,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # E2: 4,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # E8: 4,9 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # D4: 3,4 => UNS
* INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # D4: 7,9 => UNS
* PRF # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # H4: 8,9 => SOL
* STA # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 + H4: 8,9
* CNT  40 HDP CHAINS /  41 HYP OPENED