Analysis of xx-ph-00275903-12_12_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .......12.....1..3...23.4....1..5....3..6..4.7.68.......9...1...2.6....41....86.. initial

Autosolve

position: .......12.....1..3.1.23.4....1..5....3.16..4.7.68....1..9...1...2.61...41....86.. 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: 2
* DIS # I3: 6 + F5: 2 # F8: 3 => CTR => F8: 7,9
* DIS # I3: 6 + F5: 2 + F8: 7,9 # A5: 5,8 => CTR => A5: 9
* DIS # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 # C1: 5,8 => CTR => C1: 3,4,7
* PRF # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # G4: 8,9 => SOL
* STA # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 + G4: 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

.......12.....1..3...23.4....1..5....3..6..4.7.68.......9...1...2.6....41....86.. initial
.......12.....1..3.1.23.4....1..5....3.16..4.7.68....1..9...1...2.61...41....86.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A2,C2: 2.. / A2 = 2  =>  1 pairs (_) / C2 = 2  =>  1 pairs (_)
H7,H9: 2.. / H7 = 2  =>  1 pairs (_) / H9 = 2  =>  0 pairs (_)
E9,H9: 2.. / E9 = 2  =>  1 pairs (_) / H9 = 2  =>  0 pairs (_)
C2,C5: 2.. / C2 = 2  =>  1 pairs (_) / C5 = 2  =>  1 pairs (_)
A1,C1: 3.. / A1 = 3  =>  1 pairs (_) / C1 = 3  =>  0 pairs (_)
D4,F6: 3.. / D4 = 3  =>  0 pairs (_) / F6 = 3  =>  2 pairs (_)
F1,F3: 6.. / F1 = 6  =>  1 pairs (_) / F3 = 6  =>  0 pairs (_)
H4,I4: 6.. / H4 = 6  =>  1 pairs (_) / I4 = 6  =>  0 pairs (_)
A7,B7: 6.. / A7 = 6  =>  0 pairs (_) / B7 = 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: 0:00:07.054613  START: 19:51:23.869944  END: 19:51:30.924557 2020-10-01
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D4,F6: 3.. / D4 = 3 ==>  0 pairs (_) / F6 = 3 ==>  2 pairs (_)
C2,C5: 2.. / C2 = 2 ==>  1 pairs (_) / C5 = 2 ==>  1 pairs (_)
A2,C2: 2.. / A2 = 2 ==>  1 pairs (_) / C2 = 2 ==>  1 pairs (_)
I3,I4: 6.. / I3 = 6 ==>  0 pairs (*) / I4 = 6  =>  0 pairs (X)
* DURATION: 0:00:51.910820  START: 19:51:30.925101  END: 19:52:22.835921 2020-10-01
* REASONING I3,I4: 6..
* DIS # I3: 6 # F5: 7,9 => CTR => F5: 2
* DIS # I3: 6 + F5: 2 # F8: 3 => CTR => F8: 7,9
* DIS # I3: 6 + F5: 2 + F8: 7,9 # A5: 5,8 => CTR => A5: 9
* DIS # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 # C1: 5,8 => CTR => C1: 3,4,7
* PRF # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # G4: 8,9 => SOL
* STA # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 + G4: 8,9
* CNT   5 HDP CHAINS /  41 HYP OPENED
* DCP COUNT: (4)
* SOLUTION FOUND

Header Info

275903;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 # G5: 5,9 => UNS
* INC # F6: 3 # I5: 5,9 => UNS
* INC # F6: 3 # G6: 5,9 => UNS
* INC # F6: 3 # B6: 5,9 => UNS
* INC # F6: 3 # B6: 4 => UNS
* INC # F6: 3 # H2: 5,9 => UNS
* INC # F6: 3 # H3: 5,9 => UNS
* INC # F6: 3 # H8: 5,9 => UNS
* INC # F6: 3 # H9: 5,9 => UNS
* INC # F6: 3 # D9: 7,9 => UNS
* INC # F6: 3 # E9: 7,9 => UNS
* INC # F6: 3 # G8: 7,9 => UNS
* INC # F6: 3 # H8: 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 C2,C5: 2..:

* INC # C2: 2 # A5: 5,8 => UNS
* INC # C2: 2 # A5: 2,9 => UNS
* INC # C2: 2 # G5: 5,8 => UNS
* INC # C2: 2 # I5: 5,8 => UNS
* INC # C2: 2 # C1: 5,8 => UNS
* INC # C2: 2 # C3: 5,8 => UNS
* INC # C2: 2 # C8: 5,8 => UNS
* INC # C2: 2 => UNS
* INC # C5: 2 # D4: 7,9 => UNS
* INC # C5: 2 # E4: 7,9 => UNS
* INC # C5: 2 # G5: 7,9 => UNS
* INC # C5: 2 # I5: 7,9 => UNS
* INC # C5: 2 # F1: 7,9 => UNS
* INC # C5: 2 # F3: 7,9 => UNS
* INC # C5: 2 # F8: 7,9 => UNS
* INC # C5: 2 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for A2,C2: 2..:

* INC # A2: 2 # D4: 7,9 => UNS
* INC # A2: 2 # E4: 7,9 => UNS
* INC # A2: 2 # G5: 7,9 => UNS
* INC # A2: 2 # I5: 7,9 => UNS
* INC # A2: 2 # F1: 7,9 => UNS
* INC # A2: 2 # F3: 7,9 => UNS
* INC # A2: 2 # F8: 7,9 => UNS
* INC # A2: 2 => UNS
* INC # C2: 2 # A5: 5,8 => UNS
* INC # C2: 2 # A5: 2,9 => UNS
* INC # C2: 2 # G5: 5,8 => UNS
* INC # C2: 2 # I5: 5,8 => UNS
* INC # C2: 2 # C1: 5,8 => UNS
* INC # C2: 2 # C3: 5,8 => UNS
* INC # C2: 2 # C8: 5,8 => UNS
* INC # C2: 2 => 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 # H3: 7,9 => UNS
* INC # I3: 6 # H3: 5,8 => UNS
* DIS # I3: 6 # F5: 7,9 => CTR => F5: 2
* INC # I3: 6 + F5: 2 # F8: 7,9 => UNS
* INC # I3: 6 + F5: 2 # F8: 7,9 => UNS
* DIS # I3: 6 + F5: 2 # F8: 3 => CTR => F8: 7,9
* INC # I3: 6 + F5: 2 + F8: 7,9 # D1: 7,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 # E1: 7,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 # D2: 7,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 # E2: 7,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 # H3: 7,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 # H3: 5,8 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 # D1: 7,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 # E1: 7,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 # D2: 7,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 # E2: 7,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 # H3: 7,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 # H3: 5,8 => UNS
* DIS # I3: 6 + F5: 2 + F8: 7,9 # A5: 5,8 => CTR => A5: 9
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 # G5: 5,8 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 # I5: 5,8 => UNS
* DIS # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 # C1: 5,8 => CTR => C1: 3,4,7
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # C3: 5,8 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # C8: 5,8 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # G5: 5,8 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # I5: 5,8 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # C3: 5,8 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # C8: 5,8 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # D4: 4,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # E4: 4,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # E1: 4,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # E2: 4,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # E9: 4,9 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # D4: 3,4 => UNS
* INC # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # D4: 7,9 => UNS
* PRF # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 # G4: 8,9 => SOL
* STA # I3: 6 + F5: 2 + F8: 7,9 + A5: 9 + C1: 3,4,7 + G4: 8,9
* CNT  40 HDP CHAINS /  41 HYP OPENED