Analysis of xx-ph-00035013-12_05-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6....5.4.........9...3....87....2.............54.6.9.7....3.8..9......2...1 initial

Autosolve

position: 98.7..6....5.4........89...3....87....2.............54.6.9.7....3.8..9......2...1 autosolve
Autosolve

Pair Reduction Variants

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 C1,H1: 4..:

* DIS # C1: 4 # A7: 1,8 => CTR => A7: 2,4,5
* DIS # C1: 4 + A7: 2,4,5 # C6: 1,8 => CTR => C6: 6,7,9
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 # A8: 1,7 => CTR => A8: 2,4,5
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 # H4: 6,9 => CTR => H4: 1,2
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 + H4: 1,2 # I4: 6,9 => CTR => I4: 2
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 + H4: 1,2 + I4: 2 # E4: 5 => CTR => E4: 6,9
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 + H4: 1,2 + I4: 2 + E4: 6,9 # C6: 6,9 => CTR => C6: 7
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 + H4: 1,2 + I4: 2 + E4: 6,9 + C6: 7 => CTR => C1: 1,3
* STA C1: 1,3
* CNT   8 HDP CHAINS /  13 HYP OPENED

List of important HDP chains detected for C1,C3: 3..:

* PRF # C1: 3 # F1: 2 => SOL
* STA # C1: 3 + F1: 2
* CNT   1 HDP CHAINS /   3 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....87....2.............54.6.9.7....3.8..9......2...1 initial
98.7..6....5.4........89...3....87....2.............54.6.9.7....3.8..9......2...1 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B2,B3: 2.. / B2 = 2  =>  0 pairs (_) / B3 = 2  =>  1 pairs (_)
A7,A8: 2.. / A7 = 2  =>  1 pairs (_) / A8 = 2  =>  0 pairs (_)
C1,C3: 3.. / C1 = 3  =>  2 pairs (_) / C3 = 3  =>  1 pairs (_)
C1,H1: 4.. / C1 = 4  =>  2 pairs (_) / H1 = 4  =>  1 pairs (_)
E5,E6: 7.. / E5 = 7  =>  0 pairs (_) / E6 = 7  =>  1 pairs (_)
H2,I2: 9.. / H2 = 9  =>  0 pairs (_) / I2 = 9  =>  1 pairs (_)
B9,C9: 9.. / B9 = 9  =>  1 pairs (_) / C9 = 9  =>  0 pairs (_)
* DURATION: 0:00:04.415908  START: 12:59:27.034663  END: 12:59:31.450571 2020-09-22
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C1,H1: 4.. / C1 = 4 ==>  0 pairs (X) / H1 = 4  =>  1 pairs (_)
C1,C3: 3.. / C1 = 3 ==>  0 pairs (*) / C3 = 3  =>  0 pairs (X)
* DURATION: 0:00:17.820151  START: 12:59:31.451185  END: 12:59:49.271336 2020-09-22
* REASONING C1,H1: 4..
* DIS # C1: 4 # A7: 1,8 => CTR => A7: 2,4,5
* DIS # C1: 4 + A7: 2,4,5 # C6: 1,8 => CTR => C6: 6,7,9
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 # A8: 1,7 => CTR => A8: 2,4,5
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 # H4: 6,9 => CTR => H4: 1,2
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 + H4: 1,2 # I4: 6,9 => CTR => I4: 2
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 + H4: 1,2 + I4: 2 # E4: 5 => CTR => E4: 6,9
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 + H4: 1,2 + I4: 2 + E4: 6,9 # C6: 6,9 => CTR => C6: 7
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 + H4: 1,2 + I4: 2 + E4: 6,9 + C6: 7 => CTR => C1: 1,3
* STA C1: 1,3
* CNT   8 HDP CHAINS /  13 HYP OPENED
* REASONING C1,C3: 3..
* PRF # C1: 3 # F1: 2 => SOL
* STA # C1: 3 + F1: 2
* CNT   1 HDP CHAINS /   3 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

35013;12_05;GP;21;11.70;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C1,H1: 4..:

* DIS # C1: 4 # A7: 1,8 => CTR => A7: 2,4,5
* DIS # C1: 4 + A7: 2,4,5 # C6: 1,8 => CTR => C6: 6,7,9
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 # A8: 1,7 => CTR => A8: 2,4,5
* INC # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 # C6: 6,9 => UNS
* INC # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 # C6: 7 => UNS
* INC # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 # E4: 6,9 => UNS
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 # H4: 6,9 => CTR => H4: 1,2
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 + H4: 1,2 # I4: 6,9 => CTR => I4: 2
* INC # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 + H4: 1,2 + I4: 2 # E4: 6,9 => UNS
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 + H4: 1,2 + I4: 2 # E4: 5 => CTR => E4: 6,9
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 + H4: 1,2 + I4: 2 + E4: 6,9 # C6: 6,9 => CTR => C6: 7
* DIS # C1: 4 + A7: 2,4,5 + C6: 6,7,9 + A8: 2,4,5 + H4: 1,2 + I4: 2 + E4: 6,9 + C6: 7 => CTR => C1: 1,3
* INC C1: 1,3 # H1: 4 => UNS
* STA C1: 1,3
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for C1,C3: 3..:

* INC # C1: 3 # F1: 1,5 => UNS
* PRF # C1: 3 # F1: 2 => SOL
* STA # C1: 3 + F1: 2
* CNT   2 HDP CHAINS /   3 HYP OPENED