Analysis of xx-ph-00039873-12_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..5...9......7..6...49.........8.6.5.....3.4.2..1......3..9.7.8.....2...1. initial

Autosolve

position: 98.7..6..5...9......7..6...49.........8.6.5.....3.4.2..1......3..9.7.8.....2...1. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

See Appendix: Full HDP Chains for full list of HDP chains.

Pair Reduction

Pair Reduction

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:12.666797

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000013

List of important HDP chains detected for D5,D7: 9..:

* DIS # D7: 9 # D3: 5 => CTR => D3: 4,8
* DIS # D7: 9 + D3: 4,8 # C4: 6 => CTR => C4: 1,3
* DIS # D7: 9 + D3: 4,8 + C4: 1,3 # B8: 2,3 => CTR => B8: 4,5
* DIS # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 # F9: 3 => CTR => F9: 5,8
* DIS # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 # I9: 4,5 => CTR => I9: 6,9
* PRF # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 + I9: 6,9 # C1: 1,2 => SOL
* STA # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 + I9: 6,9 + C1: 1,2
* CNT   6 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..5...9......7..6...49.........8.6.5.....3.4.2..1......3..9.7.8.....2...1. initial
98.7..6..5...9......7..6...49.........8.6.5.....3.4.2..1......3..9.7.8.....2...1. autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (1)
D5: 1,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D8,F8: 1.. / D8 = 1  =>  3 pairs (_) / F8 = 1  =>  1 pairs (_)
G7,I8: 2.. / G7 = 2  =>  1 pairs (_) / I8 = 2  =>  2 pairs (_)
H5,I5: 4.. / H5 = 4  =>  4 pairs (_) / I5 = 4  =>  2 pairs (_)
B2,C2: 6.. / B2 = 6  =>  2 pairs (_) / C2 = 6  =>  2 pairs (_)
D7,D8: 6.. / D7 = 6  =>  0 pairs (_) / D8 = 6  =>  3 pairs (_)
F4,F5: 7.. / F4 = 7  =>  2 pairs (_) / F5 = 7  =>  4 pairs (_)
A7,A9: 8.. / A7 = 8  =>  4 pairs (_) / A9 = 8  =>  1 pairs (_)
E6,I6: 8.. / E6 = 8  =>  3 pairs (_) / I6 = 8  =>  4 pairs (_)
D5,F5: 9.. / D5 = 9  =>  0 pairs (_) / F5 = 9  =>  8 pairs (_)
G6,I6: 9.. / G6 = 9  =>  2 pairs (_) / I6 = 9  =>  6 pairs (_)
D5,D7: 9.. / D5 = 9  =>  0 pairs (_) / D7 = 9  =>  8 pairs (_)
H3,H7: 9.. / H3 = 9  =>  1 pairs (_) / H7 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.348110  START: 06:09:22.252664  END: 06:09:29.600774 2020-12-18
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D5,D7: 9.. / D5 = 9  =>  0 pairs (X) / D7 = 9 ==>  0 pairs (*)
* DURATION: 0:00:21.312980  START: 06:09:44.162552  END: 06:10:05.475532 2020-12-18
* REASONING D5,D7: 9..
* DIS # D7: 9 # D3: 5 => CTR => D3: 4,8
* DIS # D7: 9 + D3: 4,8 # C4: 6 => CTR => C4: 1,3
* DIS # D7: 9 + D3: 4,8 + C4: 1,3 # B8: 2,3 => CTR => B8: 4,5
* DIS # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 # F9: 3 => CTR => F9: 5,8
* DIS # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 # I9: 4,5 => CTR => I9: 6,9
* PRF # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 + I9: 6,9 # C1: 1,2 => SOL
* STA # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 + I9: 6,9 + C1: 1,2
* CNT   6 HDP CHAINS /  20 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

39873;12_07;GP;23;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # F5: 1,9 => UNS
* INC # F5: 2,7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # F5: 1,9 => UNS
* INC # F5: 2,7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # F5: 1,9 => UNS
* INC # F5: 2,7 => UNS
* INC # F5: 1,9 # D3: 4,8 => UNS
* INC # F5: 1,9 # D3: 5 => UNS
* INC # F5: 1,9 # H2: 4,8 => UNS
* INC # F5: 1,9 # I2: 4,8 => UNS
* INC # F5: 1,9 # D3: 5,8 => UNS
* INC # F5: 1,9 # D3: 4 => UNS
* INC # F5: 1,9 # E3: 5,8 => UNS
* INC # F5: 1,9 # E7: 5,8 => UNS
* INC # F5: 1,9 # E9: 5,8 => UNS
* INC # F5: 1,9 # C4: 1,3 => UNS
* INC # F5: 1,9 # C4: 5,6 => UNS
* INC # F5: 1,9 # G2: 1,3 => UNS
* INC # F5: 1,9 # G3: 1,3 => UNS
* INC # F5: 1,9 # H5: 4,7 => UNS
* INC # F5: 1,9 # H5: 3 => UNS
* INC # F5: 1,9 # I2: 4,7 => UNS
* INC # F5: 1,9 # I9: 4,7 => UNS
* INC # F5: 1,9 # H7: 6,9 => UNS
* INC # F5: 1,9 # H7: 4,5,7 => UNS
* INC # F5: 1,9 => UNS
* INC # F5: 2,7 # F4: 2,7 => UNS
* INC # F5: 2,7 # F4: 1,5,8 => UNS
* INC # F5: 2,7 # A5: 2,7 => UNS
* INC # F5: 2,7 # B5: 2,7 => UNS
* INC # F5: 2,7 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D5,D7: 9..:

* INC # D7: 9 # D3: 4,8 => UNS
* DIS # D7: 9 # D3: 5 => CTR => D3: 4,8
* INC # D7: 9 + D3: 4,8 # H2: 4,8 => UNS
* INC # D7: 9 + D3: 4,8 # I2: 4,8 => UNS
* INC # D7: 9 + D3: 4,8 # C4: 1,3 => UNS
* DIS # D7: 9 + D3: 4,8 # C4: 6 => CTR => C4: 1,3
* INC # D7: 9 + D3: 4,8 + C4: 1,3 # G2: 1,3 => UNS
* INC # D7: 9 + D3: 4,8 + C4: 1,3 # G3: 1,3 => UNS
* INC # D7: 9 + D3: 4,8 + C4: 1,3 # G2: 1,3 => UNS
* INC # D7: 9 + D3: 4,8 + C4: 1,3 # G3: 1,3 => UNS
* INC # D7: 9 + D3: 4,8 + C4: 1,3 # H5: 4,7 => UNS
* INC # D7: 9 + D3: 4,8 + C4: 1,3 # H5: 3 => UNS
* INC # D7: 9 + D3: 4,8 + C4: 1,3 # I2: 4,7 => UNS
* INC # D7: 9 + D3: 4,8 + C4: 1,3 # I9: 4,7 => UNS
* DIS # D7: 9 + D3: 4,8 + C4: 1,3 # B8: 2,3 => CTR => B8: 4,5
* INC # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 # F9: 5,8 => UNS
* DIS # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 # F9: 3 => CTR => F9: 5,8
* DIS # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 # I9: 4,5 => CTR => I9: 6,9
* PRF # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 + I9: 6,9 # C1: 1,2 => SOL
* STA # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 + I9: 6,9 + C1: 1,2
* CNT  19 HDP CHAINS /  20 HYP OPENED