Analysis of xx-ph-02240371-2019_01_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7.45......5..9.8..3......2..9..5.68....6......1...6.5....9..1......1..68 initial

Autosolve

position: 98.76.5..7.45......5..9.8..3......2..9..5.68....6......1...6.5....9..1......1..68 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for B2,I2: 6..:

* DIS # B2: 6 # C8: 2,7 => CTR => C8: 5,8
* DIS # B2: 6 + C8: 5,8 # I8: 3,4 => CTR => I8: 2,7
* DIS # B2: 6 + C8: 5,8 + I8: 2,7 # F8: 3,4 => CTR => F8: 2,5,7,8
* PRF # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # F8: 2,7 => SOL
* STA # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 + F8: 2,7
* CNT   4 HDP CHAINS /  47 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..7.45......5..9.8..3......2..9..5.68....6......1...6.5....9..1......1..68 initial
98.76.5..7.45......5..9.8..3......2..9..5.68....6......1...6.5....9..1......1..68 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I4,I6: 5.. / I4 = 5  =>  0 pairs (_) / I6 = 5  =>  1 pairs (_)
F8,F9: 5.. / F8 = 5  =>  0 pairs (_) / F9 = 5  =>  1 pairs (_)
C4,I4: 5.. / C4 = 5  =>  1 pairs (_) / I4 = 5  =>  0 pairs (_)
I2,I3: 6.. / I2 = 6  =>  1 pairs (_) / I3 = 6  =>  5 pairs (_)
B4,C4: 6.. / B4 = 6  =>  1 pairs (_) / C4 = 6  =>  3 pairs (_)
B2,I2: 6.. / B2 = 6  =>  5 pairs (_) / I2 = 6  =>  1 pairs (_)
A3,A8: 6.. / A3 = 6  =>  2 pairs (_) / A8 = 6  =>  1 pairs (_)
H3,I3: 7.. / H3 = 7  =>  1 pairs (_) / I3 = 7  =>  1 pairs (_)
E2,F2: 8.. / E2 = 8  =>  1 pairs (_) / F2 = 8  =>  4 pairs (_)
D4,D7: 8.. / D4 = 8  =>  1 pairs (_) / D7 = 8  =>  2 pairs (_)
F4,F6: 9.. / F4 = 9  =>  1 pairs (_) / F6 = 9  =>  1 pairs (_)
C7,C9: 9.. / C7 = 9  =>  2 pairs (_) / C9 = 9  =>  0 pairs (_)
C9,G9: 9.. / C9 = 9  =>  0 pairs (_) / G9 = 9  =>  2 pairs (_)
H2,H6: 9.. / H2 = 9  =>  1 pairs (_) / H6 = 9  =>  2 pairs (_)
* DURATION: 0:00:10.909824  START: 01:05:11.270855  END: 01:05:22.180679 2020-10-25
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B2,I2: 6.. / B2 = 6 ==>  0 pairs (*) / I2 = 6  =>  0 pairs (X)
* DURATION: 0:00:42.664021  START: 01:05:22.181412  END: 01:06:04.845433 2020-10-25
* REASONING B2,I2: 6..
* DIS # B2: 6 # C8: 2,7 => CTR => C8: 5,8
* DIS # B2: 6 + C8: 5,8 # I8: 3,4 => CTR => I8: 2,7
* DIS # B2: 6 + C8: 5,8 + I8: 2,7 # F8: 3,4 => CTR => F8: 2,5,7,8
* PRF # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # F8: 2,7 => SOL
* STA # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 + F8: 2,7
* CNT   4 HDP CHAINS /  47 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

2240371;2019_01_07;GP;26;11.40;11.40;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

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

* INC # B2: 6 # C1: 1,2 => UNS
* INC # B2: 6 # C3: 1,2 => UNS
* INC # B2: 6 # D3: 1,2 => UNS
* INC # B2: 6 # F3: 1,2 => UNS
* INC # B2: 6 # A5: 1,2 => UNS
* INC # B2: 6 # A5: 4 => UNS
* INC # B2: 6 # B6: 4,7 => UNS
* INC # B2: 6 # B6: 2 => UNS
* INC # B2: 6 # E4: 4,7 => UNS
* INC # B2: 6 # F4: 4,7 => UNS
* INC # B2: 6 # G4: 4,7 => UNS
* INC # B2: 6 # B8: 4,7 => UNS
* INC # B2: 6 # B9: 4,7 => UNS
* INC # B2: 6 # C8: 5,8 => UNS
* DIS # B2: 6 # C8: 2,7 => CTR => C8: 5,8
* INC # B2: 6 + C8: 5,8 # G7: 3,4 => UNS
* INC # B2: 6 + C8: 5,8 # I7: 3,4 => UNS
* DIS # B2: 6 + C8: 5,8 # I8: 3,4 => CTR => I8: 2,7
* INC # B2: 6 + C8: 5,8 + I8: 2,7 # G9: 3,4 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 # B8: 3,4 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 # E8: 3,4 => UNS
* DIS # B2: 6 + C8: 5,8 + I8: 2,7 # F8: 3,4 => CTR => F8: 2,5,7,8
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # H1: 3,4 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # H6: 3,4 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # G7: 3,4 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # I7: 3,4 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # G9: 3,4 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # B8: 3,4 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # E8: 3,4 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # H1: 3,4 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # H6: 3,4 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # C1: 1,2 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # C3: 1,2 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # D3: 1,2 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # F3: 1,2 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # A5: 1,2 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # A5: 4 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # B6: 4,7 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # B6: 2 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # E4: 4,7 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # F4: 4,7 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # G4: 4,7 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # B8: 4,7 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # B9: 4,7 => UNS
* INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # F8: 5,8 => UNS
* PRF # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # F8: 2,7 => SOL
* STA # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 + F8: 2,7
* CNT  46 HDP CHAINS /  47 HYP OPENED