Analysis of xx-ph-00000774-961-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 1.....7.94.7.......8.....5..3.6.......4.9.6..9...1...2...5...6...2.7...1.....83.. initial

Autosolve

position: 1.....7.94.7.......8.....5..3.6.......4.9.6..9...1...2...5...6...2.7...1.....83.. autosolve
Autosolve

Pair Reduction Variants

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 B5,H5: 1..:

* DIS # B5: 1 # C3: 3,6 => CTR => C3: 9
* DIS # B5: 1 + C3: 9 # C1: 5 => CTR => C1: 3,6
* DIS # B5: 1 + C3: 9 + C1: 3,6 # F3: 3,6 => CTR => F3: 1,2,4,7
* DIS # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 # A8: 3,6 => CTR => A8: 5,8
* DIS # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 + A8: 5,8 # I3: 3,6 => CTR => I3: 4
* DIS # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 + A8: 5,8 + I3: 4 # A4: 5,8 => CTR => A4: 2,7
* PRF # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 + A8: 5,8 + I3: 4 + A4: 2,7 # A5: 5,8 => SOL
* STA # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 + A8: 5,8 + I3: 4 + A4: 2,7 + A5: 5,8
* CNT   7 HDP CHAINS /  13 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

1.....7.94.7.......8.....5..3.6.......4.9.6..9...1...2...5...6...2.7...1.....83.. initial
1.....7.94.7.......8.....5..3.6.......4.9.6..9...1...2...5...6...2.7...1.....83.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
C4,B5: 1.. / C4 = 1  =>  0 pairs (_) / B5 = 1  =>  4 pairs (_)
F7,D9: 1.. / F7 = 1  =>  0 pairs (_) / D9 = 1  =>  0 pairs (_)
B5,H5: 1.. / B5 = 1  =>  4 pairs (_) / H5 = 1  =>  0 pairs (_)
G7,H9: 2.. / G7 = 2  =>  3 pairs (_) / H9 = 2  =>  1 pairs (_)
G8,I9: 5.. / G8 = 5  =>  2 pairs (_) / I9 = 5  =>  1 pairs (_)
I2,I3: 6.. / I2 = 6  =>  1 pairs (_) / I3 = 6  =>  3 pairs (_)
B6,C6: 6.. / B6 = 6  =>  2 pairs (_) / C6 = 6  =>  3 pairs (_)
F8,E9: 6.. / F8 = 6  =>  1 pairs (_) / E9 = 6  =>  1 pairs (_)
D3,F3: 7.. / D3 = 7  =>  0 pairs (_) / F3 = 7  =>  0 pairs (_)
B2,C3: 9.. / B2 = 9  =>  4 pairs (_) / C3 = 9  =>  0 pairs (_)
G4,H4: 9.. / G4 = 9  =>  0 pairs (_) / H4 = 9  =>  1 pairs (_)
* DURATION: 0:00:07.891620  START: 02:33:28.315219  END: 02:33:36.206839 2020-11-22
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B2,C3: 9.. / B2 = 9 ==>  4 pairs (_) / C3 = 9 ==>  0 pairs (_)
B5,H5: 1.. / B5 = 1 ==>  0 pairs (*) / H5 = 1  =>  0 pairs (X)
* DURATION: 0:00:26.773936  START: 02:33:36.207595  END: 02:34:02.981531 2020-11-22
* REASONING B5,H5: 1..
* DIS # B5: 1 # C3: 3,6 => CTR => C3: 9
* DIS # B5: 1 + C3: 9 # C1: 5 => CTR => C1: 3,6
* DIS # B5: 1 + C3: 9 + C1: 3,6 # F3: 3,6 => CTR => F3: 1,2,4,7
* DIS # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 # A8: 3,6 => CTR => A8: 5,8
* DIS # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 + A8: 5,8 # I3: 3,6 => CTR => I3: 4
* DIS # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 + A8: 5,8 + I3: 4 # A4: 5,8 => CTR => A4: 2,7
* PRF # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 + A8: 5,8 + I3: 4 + A4: 2,7 # A5: 5,8 => SOL
* STA # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 + A8: 5,8 + I3: 4 + A4: 2,7 + A5: 5,8
* CNT   7 HDP CHAINS /  13 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

774;961;elev;22;11.30;11.30;10.00

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B2,C3: 9..:

* INC # B2: 9 # C1: 3,6 => UNS
* INC # B2: 9 # A3: 3,6 => UNS
* INC # B2: 9 # E3: 3,6 => UNS
* INC # B2: 9 # I3: 3,6 => UNS
* INC # B2: 9 # H1: 2,8 => UNS
* INC # B2: 9 # H2: 2,8 => UNS
* INC # B2: 9 # D2: 2,8 => UNS
* INC # B2: 9 # E2: 2,8 => UNS
* INC # B2: 9 # G7: 2,8 => UNS
* INC # B2: 9 # G7: 4,9 => UNS
* INC # B2: 9 => UNS
* INC # C3: 9 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for B5,H5: 1..:

* INC # B5: 1 # C1: 3,6 => UNS
* DIS # B5: 1 # C3: 3,6 => CTR => C3: 9
* INC # B5: 1 + C3: 9 # C1: 3,6 => UNS
* DIS # B5: 1 + C3: 9 # C1: 5 => CTR => C1: 3,6
* INC # B5: 1 + C3: 9 + C1: 3,6 # E3: 3,6 => UNS
* DIS # B5: 1 + C3: 9 + C1: 3,6 # F3: 3,6 => CTR => F3: 1,2,4,7
* INC # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 # I3: 3,6 => UNS
* DIS # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 # A8: 3,6 => CTR => A8: 5,8
* INC # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 + A8: 5,8 # E3: 3,6 => UNS
* DIS # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 + A8: 5,8 # I3: 3,6 => CTR => I3: 4
* DIS # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 + A8: 5,8 + I3: 4 # A4: 5,8 => CTR => A4: 2,7
* PRF # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 + A8: 5,8 + I3: 4 + A4: 2,7 # A5: 5,8 => SOL
* STA # B5: 1 + C3: 9 + C1: 3,6 + F3: 1,2,4,7 + A8: 5,8 + I3: 4 + A4: 2,7 + A5: 5,8
* CNT  12 HDP CHAINS /  13 HYP OPENED