Analysis of xx-ph-00023480-KZ1C-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..75..9......6......4..8.3....3.....2...7.6.8....9.8.5.....1....4.....2.1. initial

Autosolve

position: 98.7..6..75..9......6......4..8.3....3.....2...7.6.8....9.8.5.....1....4.....2.1. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for F2,F3: 8..:

* DIS # F2: 8 # F5: 1,4 => CTR => F5: 5,7,9
* DIS # F2: 8 + F5: 5,7,9 # G4: 7,9 => CTR => G4: 1
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 # G5: 7,9 => CTR => G5: 4
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 # D9: 3,4 => CTR => D9: 5,9
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 + D9: 5,9 # E9: 5,7 => CTR => E9: 3,4
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 + D9: 5,9 + E9: 3,4 # D3: 3,4 => CTR => D3: 2
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 + D9: 5,9 + E9: 3,4 + D3: 2 => CTR => F2: 1,4,6
* STA F2: 1,4,6
* CNT   7 HDP CHAINS /  39 HYP OPENED

List of important HDP chains detected for H6,I6: 3..:

* PRF # H6: 3 # B7: 6,7 => SOL
* STA # H6: 3 + B7: 6,7
* CNT   1 HDP CHAINS /  20 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

98.7..6..75..9......6......4..8.3....3.....2...7.6.8....9.8.5.....1....4.....2.1. initial
98.7..6..75..9......6......4..8.3....3.....2...7.6.8....9.8.5.....1....4.....2.1. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A7,B7: 1.. / A7 = 1  =>  2 pairs (_) / B7 = 1  =>  2 pairs (_)
E4,D6: 2.. / E4 = 2  =>  1 pairs (_) / D6 = 2  =>  2 pairs (_)
I7,G8: 2.. / I7 = 2  =>  0 pairs (_) / G8 = 2  =>  3 pairs (_)
H6,I6: 3.. / H6 = 3  =>  4 pairs (_) / I6 = 3  =>  0 pairs (_)
G5,H6: 4.. / G5 = 4  =>  1 pairs (_) / H6 = 4  =>  2 pairs (_)
D2,F2: 6.. / D2 = 6  =>  1 pairs (_) / F2 = 6  =>  1 pairs (_)
B4,A5: 6.. / B4 = 6  =>  2 pairs (_) / A5 = 6  =>  0 pairs (_)
A5,I5: 6.. / A5 = 6  =>  0 pairs (_) / I5 = 6  =>  2 pairs (_)
F2,F3: 8.. / F2 = 8  =>  4 pairs (_) / F3 = 8  =>  0 pairs (_)
A5,C5: 8.. / A5 = 8  =>  3 pairs (_) / C5 = 8  =>  0 pairs (_)
H8,I9: 8.. / H8 = 8  =>  1 pairs (_) / I9 = 8  =>  0 pairs (_)
B4,B6: 9.. / B4 = 9  =>  2 pairs (_) / B6 = 9  =>  0 pairs (_)
F8,D9: 9.. / F8 = 9  =>  0 pairs (_) / D9 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.288796  START: 22:55:30.636665  END: 22:55:37.925461 2020-12-07
* CP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F2,F3: 8.. / F2 = 8 ==>  0 pairs (X) / F3 = 8  =>  0 pairs (_)
H6,I6: 3.. / H6 = 3 ==>  0 pairs (*) / I6 = 3  =>  0 pairs (X)
* DURATION: 0:00:34.763217  START: 22:55:37.926028  END: 22:56:12.689245 2020-12-07
* REASONING F2,F3: 8..
* DIS # F2: 8 # F5: 1,4 => CTR => F5: 5,7,9
* DIS # F2: 8 + F5: 5,7,9 # G4: 7,9 => CTR => G4: 1
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 # G5: 7,9 => CTR => G5: 4
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 # D9: 3,4 => CTR => D9: 5,9
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 + D9: 5,9 # E9: 5,7 => CTR => E9: 3,4
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 + D9: 5,9 + E9: 3,4 # D3: 3,4 => CTR => D3: 2
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 + D9: 5,9 + E9: 3,4 + D3: 2 => CTR => F2: 1,4,6
* STA F2: 1,4,6
* CNT   7 HDP CHAINS /  39 HYP OPENED
* REASONING H6,I6: 3..
* PRF # H6: 3 # B7: 6,7 => SOL
* STA # H6: 3 + B7: 6,7
* CNT   1 HDP CHAINS /  20 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

23480;KZ1C;GP;23;11.30;11.30;9.90

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F2,F3: 8..:

* INC # F2: 8 # E1: 1,4 => UNS
* INC # F2: 8 # E3: 1,4 => UNS
* INC # F2: 8 # F3: 1,4 => UNS
* INC # F2: 8 # C1: 1,4 => UNS
* INC # F2: 8 # C1: 2,3 => UNS
* DIS # F2: 8 # F5: 1,4 => CTR => F5: 5,7,9
* INC # F2: 8 + F5: 5,7,9 # F6: 1,4 => UNS
* INC # F2: 8 + F5: 5,7,9 # F6: 1,4 => UNS
* INC # F2: 8 + F5: 5,7,9 # F6: 5,9 => UNS
* INC # F2: 8 + F5: 5,7,9 # E1: 1,4 => UNS
* INC # F2: 8 + F5: 5,7,9 # E3: 1,4 => UNS
* INC # F2: 8 + F5: 5,7,9 # F3: 1,4 => UNS
* INC # F2: 8 + F5: 5,7,9 # C1: 1,4 => UNS
* INC # F2: 8 + F5: 5,7,9 # C1: 2,3 => UNS
* INC # F2: 8 + F5: 5,7,9 # F6: 1,4 => UNS
* INC # F2: 8 + F5: 5,7,9 # F6: 5,9 => UNS
* INC # F2: 8 + F5: 5,7,9 # H1: 3,4 => UNS
* INC # F2: 8 + F5: 5,7,9 # G2: 3,4 => UNS
* INC # F2: 8 + F5: 5,7,9 # C2: 3,4 => UNS
* INC # F2: 8 + F5: 5,7,9 # C2: 1,2 => UNS
* INC # F2: 8 + F5: 5,7,9 # H6: 3,4 => UNS
* INC # F2: 8 + F5: 5,7,9 # H6: 5,9 => UNS
* INC # F2: 8 + F5: 5,7,9 # H3: 7,9 => UNS
* INC # F2: 8 + F5: 5,7,9 # I3: 7,9 => UNS
* DIS # F2: 8 + F5: 5,7,9 # G4: 7,9 => CTR => G4: 1
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 # G5: 7,9 => CTR => G5: 4
* INC # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 # G8: 7,9 => UNS
* INC # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 # G9: 7,9 => UNS
* INC # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 # H3: 7,9 => UNS
* INC # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 # I3: 7,9 => UNS
* INC # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 # G8: 7,9 => UNS
* INC # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 # G9: 7,9 => UNS
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 # D9: 3,4 => CTR => D9: 5,9
* INC # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 + D9: 5,9 # E9: 3,4 => UNS
* INC # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 + D9: 5,9 # E9: 3,4 => UNS
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 + D9: 5,9 # E9: 5,7 => CTR => E9: 3,4
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 + D9: 5,9 + E9: 3,4 # D3: 3,4 => CTR => D3: 2
* DIS # F2: 8 + F5: 5,7,9 + G4: 1 + G5: 4 + D9: 5,9 + E9: 3,4 + D3: 2 => CTR => F2: 1,4,6
* INC F2: 1,4,6 # F3: 8 => UNS
* STA F2: 1,4,6
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for H6,I6: 3..:

* INC # H6: 3 # H3: 4,5 => UNS
* INC # H6: 3 # H3: 7,8,9 => UNS
* INC # H6: 3 # E1: 4,5 => UNS
* INC # H6: 3 # F1: 4,5 => UNS
* INC # H6: 3 # H3: 4,8 => UNS
* INC # H6: 3 # H3: 5,7,9 => UNS
* INC # H6: 3 # F2: 4,8 => UNS
* INC # H6: 3 # F2: 1,6 => UNS
* INC # H6: 3 # F5: 5,9 => UNS
* INC # H6: 3 # D6: 5,9 => UNS
* INC # H6: 3 # F6: 5,9 => UNS
* INC # H6: 3 # I5: 5,9 => UNS
* INC # H6: 3 # I5: 1,6,7 => UNS
* INC # H6: 3 # D9: 5,9 => UNS
* INC # H6: 3 # D9: 3,4,6 => UNS
* INC # H6: 3 # I7: 6,7 => UNS
* INC # H6: 3 # H8: 6,7 => UNS
* INC # H6: 3 # I9: 6,7 => UNS
* PRF # H6: 3 # B7: 6,7 => SOL
* STA # H6: 3 + B7: 6,7
* CNT  19 HDP CHAINS /  20 HYP OPENED