Analysis of xx-ph-00068412-12_11-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7.4.......5..9.8..8..9.63...3...8.6.....3..5.2.........9..8.6.........81 initial

Autosolve

position: 98.76.5..7.48......5..9.8..8..9.63...3...8.6.....3..582.8.......9..8.6.........81 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for C4,E4: 5..:

* PRF # E4: 5 # I5: 2,4 => SOL
* STA # E4: 5 + I5: 2,4
* CNT   1 HDP CHAINS /  16 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

98.76.5..7.4.......5..9.8..8..9.63...3...8.6.....3..5.2.........9..8.6.........81 initial
98.76.5..7.48......5..9.8..8..9.63...3...8.6.....3..582.8.......9..8.6.........81 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
E2,F2: 5.. / E2 = 5  =>  1 pairs (_) / F2 = 5  =>  2 pairs (_)
I7,I8: 5.. / I7 = 5  =>  0 pairs (_) / I8 = 5  =>  0 pairs (_)
C4,E4: 5.. / C4 = 5  =>  1 pairs (_) / E4 = 5  =>  2 pairs (_)
I2,I3: 6.. / I2 = 6  =>  1 pairs (_) / I3 = 6  =>  2 pairs (_)
D7,D9: 6.. / D7 = 6  =>  0 pairs (_) / D9 = 6  =>  2 pairs (_)
B2,I2: 6.. / B2 = 6  =>  2 pairs (_) / I2 = 6  =>  1 pairs (_)
B7,D7: 6.. / B7 = 6  =>  2 pairs (_) / D7 = 6  =>  0 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  2 pairs (_)
C5,C6: 9.. / C5 = 9  =>  2 pairs (_) / C6 = 9  =>  0 pairs (_)
F7,F9: 9.. / F7 = 9  =>  2 pairs (_) / F9 = 9  =>  0 pairs (_)
C6,G6: 9.. / C6 = 9  =>  0 pairs (_) / G6 = 9  =>  2 pairs (_)
F9,G9: 9.. / F9 = 9  =>  0 pairs (_) / G9 = 9  =>  2 pairs (_)
H2,H7: 9.. / H2 = 9  =>  1 pairs (_) / H7 = 9  =>  1 pairs (_)
* DURATION: 0:00:08.396932  START: 20:53:42.827111  END: 20:53:51.224043 2020-12-22
* CP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B2,I2: 6.. / B2 = 6 ==>  2 pairs (_) / I2 = 6 ==>  1 pairs (_)
I2,I3: 6.. / I2 = 6 ==>  1 pairs (_) / I3 = 6 ==>  2 pairs (_)
C4,E4: 5.. / C4 = 5  =>  0 pairs (X) / E4 = 5 ==>  0 pairs (*)
* DURATION: 0:00:36.896246  START: 20:53:51.224587  END: 20:54:28.120833 2020-12-22
* REASONING C4,E4: 5..
* PRF # E4: 5 # I5: 2,4 => SOL
* STA # E4: 5 + I5: 2,4
* CNT   1 HDP CHAINS /  16 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

68412;12_11;GP;25;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B2,I2: 6..:

* INC # B2: 6 # C1: 1,3 => UNS
* INC # B2: 6 # C3: 1,3 => UNS
* INC # B2: 6 # D3: 1,3 => UNS
* INC # B2: 6 # F3: 1,3 => UNS
* INC # B2: 6 # A8: 1,3 => UNS
* INC # B2: 6 # A8: 4,5 => UNS
* INC # B2: 6 # B7: 4,7 => UNS
* INC # B2: 6 # B7: 1 => UNS
* INC # B2: 6 # E9: 4,7 => UNS
* INC # B2: 6 # F9: 4,7 => UNS
* INC # B2: 6 # G9: 4,7 => UNS
* INC # B2: 6 # B4: 4,7 => UNS
* INC # B2: 6 # B6: 4,7 => UNS
* INC # B2: 6 => UNS
* INC # I2: 6 # C1: 1,2 => UNS
* INC # I2: 6 # C3: 1,2 => UNS
* INC # I2: 6 # E2: 1,2 => UNS
* INC # I2: 6 # F2: 1,2 => UNS
* INC # I2: 6 # G2: 1,2 => UNS
* INC # I2: 6 # H2: 1,2 => UNS
* INC # I2: 6 # B4: 1,2 => UNS
* INC # I2: 6 # B6: 1,2 => UNS
* INC # I2: 6 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for I2,I3: 6..:

* INC # I3: 6 # C1: 1,3 => UNS
* INC # I3: 6 # C3: 1,3 => UNS
* INC # I3: 6 # D3: 1,3 => UNS
* INC # I3: 6 # F3: 1,3 => UNS
* INC # I3: 6 # A8: 1,3 => UNS
* INC # I3: 6 # A8: 4,5 => UNS
* INC # I3: 6 # B7: 4,7 => UNS
* INC # I3: 6 # B7: 1 => UNS
* INC # I3: 6 # E9: 4,7 => UNS
* INC # I3: 6 # F9: 4,7 => UNS
* INC # I3: 6 # G9: 4,7 => UNS
* INC # I3: 6 # B4: 4,7 => UNS
* INC # I3: 6 # B6: 4,7 => UNS
* INC # I3: 6 => UNS
* INC # I2: 6 # C1: 1,2 => UNS
* INC # I2: 6 # C3: 1,2 => UNS
* INC # I2: 6 # E2: 1,2 => UNS
* INC # I2: 6 # F2: 1,2 => UNS
* INC # I2: 6 # G2: 1,2 => UNS
* INC # I2: 6 # H2: 1,2 => UNS
* INC # I2: 6 # B4: 1,2 => UNS
* INC # I2: 6 # B6: 1,2 => UNS
* INC # I2: 6 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for C4,E4: 5..:

* INC # E4: 5 # F1: 1,2 => UNS
* INC # E4: 5 # D3: 1,2 => UNS
* INC # E4: 5 # F3: 1,2 => UNS
* INC # E4: 5 # B2: 1,2 => UNS
* INC # E4: 5 # G2: 1,2 => UNS
* INC # E4: 5 # H2: 1,2 => UNS
* INC # E4: 5 # E5: 1,2 => UNS
* INC # E4: 5 # E5: 4,7 => UNS
* INC # E4: 5 # H1: 2,4 => UNS
* INC # E4: 5 # H3: 2,4 => UNS
* INC # E4: 5 # I3: 2,4 => UNS
* INC # E4: 5 # F1: 2,4 => UNS
* INC # E4: 5 # F1: 1,3 => UNS
* INC # E4: 5 # I4: 2,4 => UNS
* PRF # E4: 5 # I5: 2,4 => SOL
* STA # E4: 5 + I5: 2,4
* CNT  15 HDP CHAINS /  16 HYP OPENED