Analysis of xx-ph-00845909-13_02-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6..76..9..5...4......83..7.2.....8.2..........6832...79....19.........3...6 initial

Autosolve

position: 98.7..6..76..9..5...4......83..7.2.....8.2..........6832...79....19.........3...6 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: 0:00:48.217993

The following important HDP chains were detected:

* DIS # C1: 5 # B9: 4,5 => CTR => B9: 7,9
* PRF # D2: 2,3 # I1: 1,4 => SOL
* STA # D2: 2,3 + I1: 1,4
* CNT   2 HDP CHAINS /  83 HYP OPENED

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

Details

Positions

98.7..6..76..9..5...4......83..7.2.....8.2..........6832...79....19.........3...6 initial
98.7..6..76..9..5...4......83..7.2.....8.2..........6832...79....19.........3...6 autosolve
982745631763291854514683792835476219196852473247319568328167945651924387479538126 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (3)
C2: 2,3
B3: 1,5
A9: 4,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A3,B3: 1.. / A3 = 1  =>  4 pairs (_) / B3 = 1  =>  3 pairs (_)
A6,C6: 2.. / A6 = 2  =>  5 pairs (_) / C6 = 2  =>  3 pairs (_)
E8,D9: 2.. / E8 = 2  =>  3 pairs (_) / D9 = 2  =>  3 pairs (_)
D9,H9: 2.. / D9 = 2  =>  3 pairs (_) / H9 = 2  =>  3 pairs (_)
A3,A6: 2.. / A3 = 2  =>  3 pairs (_) / A6 = 2  =>  5 pairs (_)
C1,C2: 3.. / C1 = 3  =>  3 pairs (_) / C2 = 3  =>  3 pairs (_)
D6,F6: 3.. / D6 = 3  =>  3 pairs (_) / F6 = 3  =>  5 pairs (_)
C7,A8: 6.. / C7 = 6  =>  7 pairs (_) / A8 = 6  =>  4 pairs (_)
A5,A8: 6.. / A5 = 6  =>  7 pairs (_) / A8 = 6  =>  4 pairs (_)
C7,C9: 8.. / C7 = 8  =>  4 pairs (_) / C9 = 8  =>  4 pairs (_)
F2,G2: 8.. / F2 = 8  =>  5 pairs (_) / G2 = 8  =>  4 pairs (_)
H3,I3: 9.. / H3 = 9  =>  4 pairs (_) / I3 = 9  =>  3 pairs (_)
F4,F6: 9.. / F4 = 9  =>  5 pairs (_) / F6 = 9  =>  3 pairs (_)
B9,C9: 9.. / B9 = 9  =>  3 pairs (_) / C9 = 9  =>  5 pairs (_)
* DURATION: 0:00:10.419264  START: 21:46:26.108743  END: 21:46:36.528007 2021-01-01
* CP COUNT: (14)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:47.936087  START: 21:46:50.874048  END: 21:47:38.810135 2021-01-01
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00845909-13_02-base-pr-002.dot
* REASONING
* DIS # C1: 5 # B9: 4,5 => CTR => B9: 7,9
* PRF # D2: 2,3 # I1: 1,4 => SOL
* STA # D2: 2,3 + I1: 1,4
* CNT   2 HDP CHAINS /  83 HYP OPENED

Header Info

845909;13_02;GP;25;11.30;11.30;2.60

Solution

position: 982745631763291854514683792835476219196852473247319568328167945651924387479538126 solved
Solution

See section Deep Pair Reduction for the HDP chains leading to this result.

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # C1: 2,3 => UNS
* INC # C1: 5 => UNS
* INC # D2: 2,3 => UNS
* INC # I2: 2,3 => UNS
* INC # A3: 1,5 => UNS
* INC # A3: 2 => UNS
* INC # B5: 1,5 => UNS
* INC # B6: 1,5 => UNS
* INC # A8: 4,5 => UNS
* INC # B8: 4,5 => UNS
* INC # B9: 4,5 => UNS
* INC # D9: 4,5 => UNS
* INC # F9: 4,5 => UNS
* INC # G9: 4,5 => UNS
* INC # A5: 4,5 => UNS
* INC # A6: 4,5 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # C1: 2,3 => UNS
* INC # C1: 5 => UNS
* INC # D2: 2,3 => UNS
* INC # I2: 2,3 => UNS
* INC # A3: 1,5 => UNS
* INC # A3: 2 => UNS
* INC # B5: 1,5 => UNS
* INC # B6: 1,5 => UNS
* INC # A8: 4,5 => UNS
* INC # B8: 4,5 => UNS
* INC # B9: 4,5 => UNS
* INC # D9: 4,5 => UNS
* INC # F9: 4,5 => UNS
* INC # G9: 4,5 => UNS
* INC # A5: 4,5 => UNS
* INC # A6: 4,5 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # C1: 2,3 => UNS
* INC # C1: 5 => UNS
* INC # D2: 2,3 => UNS
* INC # I2: 2,3 => UNS
* INC # A3: 1,5 => UNS
* INC # A3: 2 => UNS
* INC # B5: 1,5 => UNS
* INC # B6: 1,5 => UNS
* INC # A8: 4,5 => UNS
* INC # B8: 4,5 => UNS
* INC # B9: 4,5 => UNS
* INC # D9: 4,5 => UNS
* INC # F9: 4,5 => UNS
* INC # G9: 4,5 => UNS
* INC # A5: 4,5 => UNS
* INC # A6: 4,5 => UNS
* INC # C1: 2,3 # H1: 2,3 => UNS
* INC # C1: 2,3 # I1: 2,3 => UNS
* INC # C1: 2,3 # D2: 2,3 => UNS
* INC # C1: 2,3 # I2: 2,3 => UNS
* INC # C1: 2,3 # A5: 1,5 => UNS
* INC # C1: 2,3 # A5: 4,6 => UNS
* INC # C1: 2,3 # B5: 1,5 => UNS
* INC # C1: 2,3 # B6: 1,5 => UNS
* INC # C1: 2,3 # A8: 4,5 => UNS
* INC # C1: 2,3 # B8: 4,5 => UNS
* INC # C1: 2,3 # B9: 4,5 => UNS
* INC # C1: 2,3 # D9: 4,5 => UNS
* INC # C1: 2,3 # F9: 4,5 => UNS
* INC # C1: 2,3 # G9: 4,5 => UNS
* INC # C1: 2,3 # A5: 4,5 => UNS
* INC # C1: 2,3 # A5: 1,6 => UNS
* INC # C1: 2,3 => UNS
* INC # C1: 5 # C5: 6,9 => UNS
* INC # C1: 5 # C5: 7 => UNS
* INC # C1: 5 # F4: 6,9 => UNS
* INC # C1: 5 # F4: 1,4,5 => UNS
* INC # C1: 5 # E7: 6,8 => UNS
* INC # C1: 5 # E7: 1,4,5 => UNS
* INC # C1: 5 # A8: 4,5 => UNS
* INC # C1: 5 # B8: 4,5 => UNS
* DIS # C1: 5 # B9: 4,5 => CTR => B9: 7,9
* INC # C1: 5 + B9: 7,9 # D9: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # F9: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # G9: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # A5: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # A6: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # A8: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # B8: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # D9: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # F9: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # G9: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # A5: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # A6: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # C5: 6,9 => UNS
* INC # C1: 5 + B9: 7,9 # C5: 7 => UNS
* INC # C1: 5 + B9: 7,9 # F4: 6,9 => UNS
* INC # C1: 5 + B9: 7,9 # F4: 1,4,5 => UNS
* INC # C1: 5 + B9: 7,9 # E7: 6,8 => UNS
* INC # C1: 5 + B9: 7,9 # E7: 1,4,5 => UNS
* INC # C1: 5 + B9: 7,9 # A8: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # B8: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # D9: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # F9: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # G9: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # A5: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # A6: 4,5 => UNS
* INC # C1: 5 + B9: 7,9 # C9: 7,9 => UNS
* INC # C1: 5 + B9: 7,9 # C9: 8 => UNS
* INC # C1: 5 + B9: 7,9 # B5: 7,9 => UNS
* INC # C1: 5 + B9: 7,9 # B6: 7,9 => UNS
* INC # C1: 5 + B9: 7,9 => UNS
* INC # D2: 2,3 # C1: 2,3 => UNS
* INC # D2: 2,3 # C1: 5 => UNS
* INC # D2: 2,3 # A3: 1,5 => UNS
* INC # D2: 2,3 # A3: 2 => UNS
* INC # D2: 2,3 # B5: 1,5 => UNS
* INC # D2: 2,3 # B6: 1,5 => UNS
* INC # D2: 2,3 # D3: 2,3 => UNS
* INC # D2: 2,3 # D3: 5,6 => UNS
* INC # D2: 2,3 # H1: 1,4 => UNS
* PRF # D2: 2,3 # I1: 1,4 => SOL
* STA # D2: 2,3 + I1: 1,4
* CNT  82 HDP CHAINS /  83 HYP OPENED