Analysis of xx-ph-00019837-KZ1C-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6....5.4.........9.3.6.....8...3.....9...4.2...14..2....7.1..7......75.4... initial

Autosolve

position: 98.7..6....5.4.....4...9.3.6.....8...3.....9...4.2...14..2....7.1..7......75.4... autosolve
Autosolve

Pair Reduction Variants

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 B2,C3: 6..:

* DIS # B2: 6 # C1: 1,2 => CTR => C1: 3
* DIS # B2: 6 + C1: 3 # C5: 1,2 => CTR => C5: 8
* DIS # B2: 6 + C1: 3 + C5: 8 # C4: 9 => CTR => C4: 1,2
* DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 # A3: 1,2 => CTR => A3: 7
* DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 # G3: 1,2 => CTR => G3: 5
* DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 + G3: 5 # F2: 1,2 => CTR => F2: 3,8
* DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 + G3: 5 + F2: 3,8 => CTR => B2: 2,7
* STA B2: 2,7
* CNT   7 HDP CHAINS /  15 HYP OPENED

List of important HDP chains detected for B6,D6: 9..:

* DIS # D6: 9 # A6: 5,7 => CTR => A6: 8
* DIS # D6: 9 + A6: 8 # F6: 5,7 => CTR => F6: 3,6
* DIS # D6: 9 + A6: 8 + F6: 3,6 # C3: 1,2 => CTR => C3: 6
* DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # H6: 5,7 => CTR => H6: 6
* DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 # A8: 2,3 => CTR => A8: 5
* DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # A2: 1,7 => CTR => A2: 2,3
* DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 # C1: 2,3 => CTR => C1: 1
* PRF # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 + C1: 1 => SOL
* STA D6: 9
* CNT   8 HDP CHAINS /  53 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....5.4.........9.3.6.....8...3.....9...4.2...14..2....7.1..7......75.4... initial
98.7..6....5.4.....4...9.3.6.....8...3.....9...4.2...14..2....7.1..7......75.4... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F1,F2: 2.. / F1 = 2  =>  2 pairs (_) / F2 = 2  =>  2 pairs (_)
C1,A2: 3.. / C1 = 3  =>  1 pairs (_) / A2 = 3  =>  2 pairs (_)
I4,G6: 3.. / I4 = 3  =>  1 pairs (_) / G6 = 3  =>  0 pairs (_)
H1,I1: 4.. / H1 = 4  =>  1 pairs (_) / I1 = 4  =>  0 pairs (_)
D4,D5: 4.. / D4 = 4  =>  0 pairs (_) / D5 = 4  =>  0 pairs (_)
G5,G8: 4.. / G5 = 4  =>  0 pairs (_) / G8 = 4  =>  0 pairs (_)
B7,A8: 5.. / B7 = 5  =>  1 pairs (_) / A8 = 5  =>  2 pairs (_)
B2,C3: 6.. / B2 = 6  =>  4 pairs (_) / C3 = 6  =>  2 pairs (_)
I5,H6: 6.. / I5 = 6  =>  1 pairs (_) / H6 = 6  =>  0 pairs (_)
A3,G3: 7.. / A3 = 7  =>  2 pairs (_) / G3 = 7  =>  2 pairs (_)
G2,I2: 9.. / G2 = 9  =>  1 pairs (_) / I2 = 9  =>  0 pairs (_)
B6,D6: 9.. / B6 = 9  =>  3 pairs (_) / D6 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.741286  START: 22:48:35.783139  END: 22:48:42.524425 2020-12-06
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B2,C3: 6.. / B2 = 6 ==>  0 pairs (X) / C3 = 6  =>  2 pairs (_)
B6,D6: 9.. / B6 = 9 ==>  3 pairs (_) / D6 = 9 ==>  0 pairs (*)
* DURATION: 0:00:40.693559  START: 22:48:42.525098  END: 22:49:23.218657 2020-12-06
* REASONING B2,C3: 6..
* DIS # B2: 6 # C1: 1,2 => CTR => C1: 3
* DIS # B2: 6 + C1: 3 # C5: 1,2 => CTR => C5: 8
* DIS # B2: 6 + C1: 3 + C5: 8 # C4: 9 => CTR => C4: 1,2
* DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 # A3: 1,2 => CTR => A3: 7
* DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 # G3: 1,2 => CTR => G3: 5
* DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 + G3: 5 # F2: 1,2 => CTR => F2: 3,8
* DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 + G3: 5 + F2: 3,8 => CTR => B2: 2,7
* STA B2: 2,7
* CNT   7 HDP CHAINS /  15 HYP OPENED
* REASONING B6,D6: 9..
* DIS # D6: 9 # A6: 5,7 => CTR => A6: 8
* DIS # D6: 9 + A6: 8 # F6: 5,7 => CTR => F6: 3,6
* DIS # D6: 9 + A6: 8 + F6: 3,6 # C3: 1,2 => CTR => C3: 6
* DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # H6: 5,7 => CTR => H6: 6
* DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 # A8: 2,3 => CTR => A8: 5
* DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # A2: 1,7 => CTR => A2: 2,3
* DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 # C1: 2,3 => CTR => C1: 1
* PRF # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 + C1: 1 => SOL
* STA D6: 9
* CNT   8 HDP CHAINS /  53 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

19837;KZ1C;GP;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B2,C3: 6..:

* DIS # B2: 6 # C1: 1,2 => CTR => C1: 3
* INC # B2: 6 + C1: 3 # A2: 1,2 => UNS
* INC # B2: 6 + C1: 3 # A3: 1,2 => UNS
* INC # B2: 6 + C1: 3 # G3: 1,2 => UNS
* INC # B2: 6 + C1: 3 # G3: 5,7 => UNS
* INC # B2: 6 + C1: 3 # C4: 1,2 => UNS
* DIS # B2: 6 + C1: 3 # C5: 1,2 => CTR => C5: 8
* INC # B2: 6 + C1: 3 + C5: 8 # C4: 1,2 => UNS
* DIS # B2: 6 + C1: 3 + C5: 8 # C4: 9 => CTR => C4: 1,2
* INC # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 # A2: 1,2 => UNS
* DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 # A3: 1,2 => CTR => A3: 7
* DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 # G3: 1,2 => CTR => G3: 5
* DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 + G3: 5 # F2: 1,2 => CTR => F2: 3,8
* DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 + G3: 5 + F2: 3,8 => CTR => B2: 2,7
* INC B2: 2,7 # C3: 6 => UNS
* STA B2: 2,7
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for B6,D6: 9..:

* INC # B6: 9 # A5: 1,2 => UNS
* INC # B6: 9 # C5: 1,2 => UNS
* INC # B6: 9 # C1: 1,2 => UNS
* INC # B6: 9 # C3: 1,2 => UNS
* INC # B6: 9 # H7: 5,6 => UNS
* INC # B6: 9 # H7: 1,8 => UNS
* INC # B6: 9 # C8: 2,6 => UNS
* INC # B6: 9 # C8: 3,8,9 => UNS
* INC # B6: 9 # H9: 2,6 => UNS
* INC # B6: 9 # I9: 2,6 => UNS
* INC # B6: 9 # B2: 2,6 => UNS
* INC # B6: 9 # B2: 7 => UNS
* INC # B6: 9 => UNS
* INC # D6: 9 # B4: 5,7 => UNS
* INC # D6: 9 # A5: 5,7 => UNS
* DIS # D6: 9 # A6: 5,7 => CTR => A6: 8
* DIS # D6: 9 + A6: 8 # F6: 5,7 => CTR => F6: 3,6
* INC # D6: 9 + A6: 8 + F6: 3,6 # G6: 5,7 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 # H6: 5,7 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 # B4: 5,7 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 # A5: 5,7 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 # G6: 5,7 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 # H6: 5,7 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 # C4: 1,2 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 # A5: 1,2 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 # C1: 1,2 => UNS
* DIS # D6: 9 + A6: 8 + F6: 3,6 # C3: 1,2 => CTR => C3: 6
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # C1: 1,2 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # C1: 3 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # C4: 1,2 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # A5: 1,2 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # C1: 1,2 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # C1: 3 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # B4: 5,7 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # A5: 5,7 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # G6: 5,7 => UNS
* DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # H6: 5,7 => CTR => H6: 6
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 # B4: 5,7 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 # A5: 5,7 => UNS
* DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 # A8: 2,3 => CTR => A8: 5
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # C8: 2,3 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # C8: 2,3 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # C8: 8,9 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # G9: 2,3 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # G9: 1,9 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # A2: 2,3 => UNS
* DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # A2: 1,7 => CTR => A2: 2,3
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 # C8: 2,3 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 # C8: 8,9 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 # G9: 2,3 => UNS
* INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 # G9: 1,9 => UNS
* DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 # C1: 2,3 => CTR => C1: 1
* PRF # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 + C1: 1 => SOL
* STA D6: 9
* CNT  53 HDP CHAINS /  53 HYP OPENED