Analysis of xx-ph-00024393-KC40b-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....7...6.8....5..8.7.5....6.9...43..6......2...1.5...7.4....6..2......1...3 initial

Autosolve

position: 98.7.....7...6.8....5..8.7.5....6.9...43..6......2...1.5...7.4....6..2......1...3 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: 0:00:23.786499

The following important HDP chains were detected:

* DIS # G3: 3,4 # G1: 3,4 => CTR => G1: 1,5
* CNT   1 HDP CHAINS /  61 HYP OPENED

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000012

List of important HDP chains detected for G7,H8: 1..:

* PRF # H8: 1 # A7: 2,8 => SOL
* STA # H8: 1 + A7: 2,8
* CNT   1 HDP CHAINS /   4 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.....7...6.8....5..8.7.5....6.9...43..6......2...1.5...7.4....6..2......1...3 initial
98.7.....7...6.8....5..8.7.5....6.9...43..6......2...1.5...7.4....6..2......1...3 autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (1)
G7: 1,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,F5: 1.. / D4 = 1  =>  2 pairs (_) / F5 = 1  =>  3 pairs (_)
G7,H8: 1.. / G7 = 1  =>  1 pairs (_) / H8 = 1  =>  4 pairs (_)
I7,H9: 6.. / I7 = 6  =>  2 pairs (_) / H9 = 6  =>  2 pairs (_)
H1,H9: 6.. / H1 = 6  =>  2 pairs (_) / H9 = 6  =>  2 pairs (_)
E4,E5: 7.. / E4 = 7  =>  2 pairs (_) / E5 = 7  =>  2 pairs (_)
I8,G9: 7.. / I8 = 7  =>  2 pairs (_) / G9 = 7  =>  2 pairs (_)
* DURATION: 0:00:03.514697  START: 09:05:31.893155  END: 09:05:35.407852 2020-12-08
* CP COUNT: (6)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G7,H8: 1.. / G7 = 1  =>  0 pairs (X) / H8 = 1 ==>  0 pairs (*)
* DURATION: 0:00:06.490381  START: 09:06:02.238412  END: 09:06:08.728793 2020-12-08
* REASONING G7,H8: 1..
* PRF # H8: 1 # A7: 2,8 => SOL
* STA # H8: 1 + A7: 2,8
* CNT   1 HDP CHAINS /   4 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

24393;KC40b;GP;24;11.30;11.30;10.90

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # C7: 1,9 => UNS
* INC # C7: 2,3,6,8 => UNS
* INC # G3: 1,9 => UNS
* INC # G3: 3,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # C7: 1,9 => UNS
* INC # C7: 2,3,6,8 => UNS
* INC # G3: 1,9 => UNS
* INC # G3: 3,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # C7: 1,9 => UNS
* INC # C7: 2,3,6,8 => UNS
* INC # G3: 1,9 => UNS
* INC # G3: 3,4 => UNS
* INC # C7: 1,9 # B8: 1,9 => UNS
* INC # C7: 1,9 # C8: 1,9 => UNS
* INC # C7: 1,9 # D9: 2,8 => UNS
* INC # C7: 1,9 # D9: 4,5,9 => UNS
* INC # C7: 1,9 # A7: 2,8 => UNS
* INC # C7: 1,9 # A7: 3,6 => UNS
* INC # C7: 1,9 # E8: 3,8 => UNS
* INC # C7: 1,9 # E8: 4,5,9 => UNS
* INC # C7: 1,9 # A7: 3,8 => UNS
* INC # C7: 1,9 # A7: 2,6 => UNS
* INC # C7: 1,9 # G3: 1,9 => UNS
* INC # C7: 1,9 # G3: 3,4 => UNS
* INC # C7: 1,9 # H9: 6,8 => UNS
* INC # C7: 1,9 # H9: 5 => UNS
* INC # C7: 1,9 # A7: 6,8 => UNS
* INC # C7: 1,9 # A7: 2,3 => UNS
* INC # C7: 1,9 => UNS
* INC # C7: 2,3,6,8 # G3: 1,9 => UNS
* INC # C7: 2,3,6,8 # G3: 3,4 => UNS
* INC # C7: 2,3,6,8 => UNS
* INC # G3: 1,9 # D3: 1,9 => UNS
* INC # G3: 1,9 # D3: 2,4 => UNS
* INC # G3: 1,9 # C7: 1,9 => UNS
* INC # G3: 1,9 # C7: 2,3,6,8 => UNS
* INC # G3: 1,9 # I8: 5,7 => UNS
* INC # G3: 1,9 # I8: 8,9 => UNS
* INC # G3: 1,9 # G6: 5,7 => UNS
* INC # G3: 1,9 # G6: 3,4 => UNS
* INC # G3: 1,9 => UNS
* DIS # G3: 3,4 # G1: 3,4 => CTR => G1: 1,5
* INC # G3: 3,4 + G1: 1,5 # A3: 3,4 => UNS
* INC # G3: 3,4 + G1: 1,5 # B3: 3,4 => UNS
* INC # G3: 3,4 + G1: 1,5 # E3: 3,4 => UNS
* INC # G3: 3,4 + G1: 1,5 # G4: 3,4 => UNS
* INC # G3: 3,4 + G1: 1,5 # G6: 3,4 => UNS
* INC # G3: 3,4 + G1: 1,5 # C7: 1,9 => UNS
* INC # G3: 3,4 + G1: 1,5 # C7: 2,3,6,8 => UNS
* INC # G3: 3,4 + G1: 1,5 # H9: 6,8 => UNS
* INC # G3: 3,4 + G1: 1,5 # H9: 5 => UNS
* INC # G3: 3,4 + G1: 1,5 # A7: 6,8 => UNS
* INC # G3: 3,4 + G1: 1,5 # C7: 6,8 => UNS
* INC # G3: 3,4 + G1: 1,5 # H1: 1,5 => UNS
* INC # G3: 3,4 + G1: 1,5 # H2: 1,5 => UNS
* INC # G3: 3,4 + G1: 1,5 # F1: 1,5 => UNS
* INC # G3: 3,4 + G1: 1,5 # F1: 2,3,4 => UNS
* INC # G3: 3,4 + G1: 1,5 # A3: 3,4 => UNS
* INC # G3: 3,4 + G1: 1,5 # B3: 3,4 => UNS
* INC # G3: 3,4 + G1: 1,5 # E3: 3,4 => UNS
* INC # G3: 3,4 + G1: 1,5 # G4: 3,4 => UNS
* INC # G3: 3,4 + G1: 1,5 # G6: 3,4 => UNS
* INC # G3: 3,4 + G1: 1,5 # C7: 1,9 => UNS
* INC # G3: 3,4 + G1: 1,5 # C7: 2,3,6,8 => UNS
* INC # G3: 3,4 + G1: 1,5 # H9: 6,8 => UNS
* INC # G3: 3,4 + G1: 1,5 # H9: 5 => UNS
* INC # G3: 3,4 + G1: 1,5 # A7: 6,8 => UNS
* INC # G3: 3,4 + G1: 1,5 # C7: 6,8 => UNS
* INC # G3: 3,4 + G1: 1,5 => UNS
* CNT  61 HDP CHAINS /  61 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G7,H8: 1..:

* INC # H8: 1 # D9: 2,8 => UNS
* INC # H8: 1 # D9: 4,5,9 => UNS
* PRF # H8: 1 # A7: 2,8 => SOL
* STA # H8: 1 + A7: 2,8
* CNT   3 HDP CHAINS /   4 HYP OPENED