Analysis of xx-ph-00068455-12_11-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7.48......5..9....8...3..65.3...6.8....9..3..2.......8.9..8.6..........1 initial

Autosolve

position: 98.76.5..7.48......5..9.8..8...3..65.3...6.8....9.83..2.......8.9..8.6....8.....1 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 C4,G4: 9..:

* DIS # G4: 9 # B4: 1,7 => CTR => B4: 2,4
* DIS # G4: 9 + B4: 2,4 # B6: 1,7 => CTR => B6: 2,4
* PRF # G4: 9 + B4: 2,4 + B6: 2,4 # C6: 1,7 => SOL
* STA # G4: 9 + B4: 2,4 + B6: 2,4 + C6: 1,7
* CNT   3 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..7.48......5..9....8...3..65.3...6.8....9..3..2.......8.9..8.6..........1 initial
98.76.5..7.48......5..9.8..8...3..65.3...6.8....9.83..2.......8.9..8.6....8.....1 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E2,F2: 5.. / E2 = 5  =>  1 pairs (_) / F2 = 5  =>  2 pairs (_)
I2,I3: 6.. / I2 = 6  =>  1 pairs (_) / I3 = 6  =>  2 pairs (_)
D7,D9: 6.. / D7 = 6  =>  0 pairs (_) / D9 = 6  =>  1 pairs (_)
B2,I2: 6.. / B2 = 6  =>  2 pairs (_) / I2 = 6  =>  1 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  2 pairs (_)
C4,C5: 9.. / C4 = 9  =>  0 pairs (_) / C5 = 9  =>  5 pairs (_)
F7,F9: 9.. / F7 = 9  =>  1 pairs (_) / F9 = 9  =>  0 pairs (_)
C4,G4: 9.. / C4 = 9  =>  0 pairs (_) / G4 = 9  =>  5 pairs (_)
I2,I5: 9.. / I2 = 9  =>  4 pairs (_) / I5 = 9  =>  0 pairs (_)
* DURATION: 0:00:06.158655  START: 20:12:08.323394  END: 20:12:14.482049 2020-10-27
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C4,G4: 9.. / C4 = 9  =>  0 pairs (X) / G4 = 9 ==>  0 pairs (*)
* DURATION: 0:00:15.389460  START: 20:12:14.482653  END: 20:12:29.872113 2020-10-27
* REASONING C4,G4: 9..
* DIS # G4: 9 # B4: 1,7 => CTR => B4: 2,4
* DIS # G4: 9 + B4: 2,4 # B6: 1,7 => CTR => B6: 2,4
* PRF # G4: 9 + B4: 2,4 + B6: 2,4 # C6: 1,7 => SOL
* STA # G4: 9 + B4: 2,4 + B6: 2,4 + C6: 1,7
* CNT   3 HDP CHAINS /  16 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

68455;12_11;GP;25;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C4,G4: 9..:

* INC # G4: 9 # C1: 1,3 => UNS
* INC # G4: 9 # C3: 1,3 => UNS
* INC # G4: 9 # D3: 1,3 => UNS
* INC # G4: 9 # F3: 1,3 => UNS
* INC # G4: 9 # A8: 1,3 => UNS
* INC # G4: 9 # A8: 4,5 => UNS
* INC # G4: 9 # H1: 1,2 => UNS
* INC # G4: 9 # H2: 1,2 => UNS
* INC # G4: 9 # E2: 1,2 => UNS
* INC # G4: 9 # F2: 1,2 => UNS
* INC # G4: 9 # G5: 1,2 => UNS
* INC # G4: 9 # G5: 4,7 => UNS
* DIS # G4: 9 # B4: 1,7 => CTR => B4: 2,4
* DIS # G4: 9 + B4: 2,4 # B6: 1,7 => CTR => B6: 2,4
* PRF # G4: 9 + B4: 2,4 + B6: 2,4 # C6: 1,7 => SOL
* STA # G4: 9 + B4: 2,4 + B6: 2,4 + C6: 1,7
* CNT  15 HDP CHAINS /  16 HYP OPENED