Analysis of xx-ph-00038957-12_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6....5.9..7......4..94..9..3...3...8.....7.2..1..7.5...6...6...1......6...2 initial

Autosolve

position: 98.7..6....5.9..7.7....4..94..9..3...3...8.....7.2..1..7.5...6...6...1......6...2 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for C4,A6: 8..:

* DIS # A6: 8 # C1: 1,2 => CTR => C1: 3,4
* CNT   1 HDP CHAINS /  33 HYP OPENED

List of important HDP chains detected for D6,F6: 3..:

* PRF # D6: 3 # I6: 5,6 => SOL
* STA # D6: 3 + I6: 5,6
* CNT   1 HDP CHAINS /   6 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......4..94..9..3...3...8.....7.2..1..7.5...6...6...1......6...2 initial
98.7..6....5.9..7.7....4..94..9..3...3...8.....7.2..1..7.5...6...6...1......6...2 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I1,I2: 1.. / I1 = 1  =>  1 pairs (_) / I2 = 1  =>  0 pairs (_)
D6,F6: 3.. / D6 = 3  =>  1 pairs (_) / F6 = 3  =>  1 pairs (_)
C1,B2: 4.. / C1 = 4  =>  0 pairs (_) / B2 = 4  =>  1 pairs (_)
B3,D3: 6.. / B3 = 6  =>  1 pairs (_) / D3 = 6  =>  3 pairs (_)
I8,G9: 7.. / I8 = 7  =>  0 pairs (_) / G9 = 7  =>  0 pairs (_)
F9,G9: 7.. / F9 = 7  =>  0 pairs (_) / G9 = 7  =>  0 pairs (_)
G5,G9: 7.. / G5 = 7  =>  0 pairs (_) / G9 = 7  =>  0 pairs (_)
C4,A6: 8.. / C4 = 8  =>  2 pairs (_) / A6 = 8  =>  1 pairs (_)
C5,B6: 9.. / C5 = 9  =>  2 pairs (_) / B6 = 9  =>  1 pairs (_)
B6,G6: 9.. / B6 = 9  =>  1 pairs (_) / G6 = 9  =>  2 pairs (_)
* DURATION: 0:00:05.995252  START: 21:17:59.337577  END: 21:18:05.332829 2020-12-17
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B3,D3: 6.. / B3 = 6 ==>  1 pairs (_) / D3 = 6 ==>  3 pairs (_)
B6,G6: 9.. / B6 = 9 ==>  1 pairs (_) / G6 = 9 ==>  2 pairs (_)
C5,B6: 9.. / C5 = 9 ==>  2 pairs (_) / B6 = 9 ==>  1 pairs (_)
C4,A6: 8.. / C4 = 8 ==>  2 pairs (_) / A6 = 8 ==>  2 pairs (_)
D6,F6: 3.. / D6 = 3 ==>  0 pairs (*) / F6 = 3  =>  0 pairs (X)
* DURATION: 0:00:47.890821  START: 21:18:05.333610  END: 21:18:53.224431 2020-12-17
* REASONING C4,A6: 8..
* DIS # A6: 8 # C1: 1,2 => CTR => C1: 3,4
* CNT   1 HDP CHAINS /  33 HYP OPENED
* REASONING D6,F6: 3..
* PRF # D6: 3 # I6: 5,6 => SOL
* STA # D6: 3 + I6: 5,6
* CNT   1 HDP CHAINS /   6 HYP OPENED
* DCP COUNT: (5)
* SOLUTION FOUND

Header Info

38957;12_07;GP;24;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B3,D3: 6..:

* INC # D3: 6 # C1: 1,2 => UNS
* INC # D3: 6 # A2: 1,2 => UNS
* INC # D3: 6 # B2: 1,2 => UNS
* INC # D3: 6 # C3: 1,2 => UNS
* INC # D3: 6 # B4: 1,2 => UNS
* INC # D3: 6 # B4: 5,6 => UNS
* INC # D3: 6 # E5: 1,4 => UNS
* INC # D3: 6 # E5: 5,7 => UNS
* INC # D3: 6 # D9: 1,4 => UNS
* INC # D3: 6 # D9: 3,8 => UNS
* INC # D3: 6 # D8: 3,4 => UNS
* INC # D3: 6 # D9: 3,4 => UNS
* INC # D3: 6 => UNS
* INC # B3: 6 # G6: 5,9 => UNS
* INC # B3: 6 # G6: 4,8 => UNS
* INC # B3: 6 # B8: 5,9 => UNS
* INC # B3: 6 # B9: 5,9 => UNS
* INC # B3: 6 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for B6,G6: 9..:

* INC # G6: 9 # B4: 5,6 => UNS
* INC # G6: 9 # A5: 5,6 => UNS
* INC # G6: 9 # A6: 5,6 => UNS
* INC # G6: 9 # F6: 5,6 => UNS
* INC # G6: 9 # I6: 5,6 => UNS
* INC # G6: 9 # I7: 4,8 => UNS
* INC # G6: 9 # H8: 4,8 => UNS
* INC # G6: 9 # I8: 4,8 => UNS
* INC # G6: 9 # G9: 4,8 => UNS
* INC # G6: 9 # H9: 4,8 => UNS
* INC # G6: 9 # C7: 4,8 => UNS
* INC # G6: 9 # E7: 4,8 => UNS
* INC # G6: 9 # G2: 4,8 => UNS
* INC # G6: 9 # G2: 2 => UNS
* INC # G6: 9 => UNS
* INC # B6: 9 # B4: 1,2 => UNS
* INC # B6: 9 # C4: 1,2 => UNS
* INC # B6: 9 # A5: 1,2 => UNS
* INC # B6: 9 # C1: 1,2 => UNS
* INC # B6: 9 # C3: 1,2 => UNS
* INC # B6: 9 # C7: 1,2 => UNS
* INC # B6: 9 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for C5,B6: 9..:

* INC # C5: 9 # B4: 5,6 => UNS
* INC # C5: 9 # A5: 5,6 => UNS
* INC # C5: 9 # A6: 5,6 => UNS
* INC # C5: 9 # F6: 5,6 => UNS
* INC # C5: 9 # I6: 5,6 => UNS
* INC # C5: 9 # I7: 4,8 => UNS
* INC # C5: 9 # H8: 4,8 => UNS
* INC # C5: 9 # I8: 4,8 => UNS
* INC # C5: 9 # G9: 4,8 => UNS
* INC # C5: 9 # H9: 4,8 => UNS
* INC # C5: 9 # C7: 4,8 => UNS
* INC # C5: 9 # E7: 4,8 => UNS
* INC # C5: 9 # G2: 4,8 => UNS
* INC # C5: 9 # G2: 2 => UNS
* INC # C5: 9 => UNS
* INC # B6: 9 # B4: 1,2 => UNS
* INC # B6: 9 # C4: 1,2 => UNS
* INC # B6: 9 # A5: 1,2 => UNS
* INC # B6: 9 # C1: 1,2 => UNS
* INC # B6: 9 # C3: 1,2 => UNS
* INC # B6: 9 # C7: 1,2 => UNS
* INC # B6: 9 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for C4,A6: 8..:

* INC # C4: 8 # B4: 5,6 => UNS
* INC # C4: 8 # A5: 5,6 => UNS
* INC # C4: 8 # B6: 5,6 => UNS
* INC # C4: 8 # F6: 5,6 => UNS
* INC # C4: 8 # I6: 5,6 => UNS
* INC # C4: 8 # G5: 2,5 => UNS
* INC # C4: 8 # H5: 2,5 => UNS
* INC # C4: 8 # B4: 2,5 => UNS
* INC # C4: 8 # B4: 1,6 => UNS
* INC # C4: 8 # H1: 2,5 => UNS
* INC # C4: 8 # H3: 2,5 => UNS
* INC # C4: 8 => UNS
* INC # A6: 8 # B4: 1,2 => UNS
* INC # A6: 8 # A5: 1,2 => UNS
* INC # A6: 8 # C5: 1,2 => UNS
* DIS # A6: 8 # C1: 1,2 => CTR => C1: 3,4
* INC # A6: 8 + C1: 3,4 # C3: 1,2 => UNS
* INC # A6: 8 + C1: 3,4 # C7: 1,2 => UNS
* INC # A6: 8 + C1: 3,4 # B4: 1,2 => UNS
* INC # A6: 8 + C1: 3,4 # A5: 1,2 => UNS
* INC # A6: 8 + C1: 3,4 # C5: 1,2 => UNS
* INC # A6: 8 + C1: 3,4 # C3: 1,2 => UNS
* INC # A6: 8 + C1: 3,4 # C7: 1,2 => UNS
* INC # A6: 8 + C1: 3,4 # H1: 3,4 => UNS
* INC # A6: 8 + C1: 3,4 # I1: 3,4 => UNS
* INC # A6: 8 + C1: 3,4 # C7: 3,4 => UNS
* INC # A6: 8 + C1: 3,4 # C9: 3,4 => UNS
* INC # A6: 8 + C1: 3,4 # B4: 1,2 => UNS
* INC # A6: 8 + C1: 3,4 # A5: 1,2 => UNS
* INC # A6: 8 + C1: 3,4 # C5: 1,2 => UNS
* INC # A6: 8 + C1: 3,4 # C3: 1,2 => UNS
* INC # A6: 8 + C1: 3,4 # C7: 1,2 => UNS
* INC # A6: 8 + C1: 3,4 => UNS
* CNT  33 HDP CHAINS /  33 HYP OPENED

Full list of HDP chains traversed for D6,F6: 3..:

* INC # D6: 3 # F4: 5,6 => UNS
* INC # D6: 3 # F4: 1,7 => UNS
* INC # D6: 3 # A6: 5,6 => UNS
* INC # D6: 3 # B6: 5,6 => UNS
* PRF # D6: 3 # I6: 5,6 => SOL
* STA # D6: 3 + I6: 5,6
* CNT   5 HDP CHAINS /   6 HYP OPENED