Analysis of xx-ph-02123939-2018_11_28-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6....5.94.3.........74..8.2....1.........8.3..4..4.....8...9..8..5....4.9.3 initial

Autosolve

position: 98.7..6.4..5.94.3...4.8..974..8.2....1.4.......8.3..4..4.....8...9..84.58...4.9.3 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 C1,F1: 3..:

* DIS # C1: 3 # B6: 2,6 => CTR => B6: 5,7,9
* DIS # C1: 3 + B6: 5,7,9 # B4: 6,7 => CTR => B4: 3,5,9
* DIS # C1: 3 + B6: 5,7,9 + B4: 3,5,9 # A5: 6,7 => CTR => A5: 2,3,5
* CNT   3 HDP CHAINS /  60 HYP OPENED

List of important HDP chains detected for D6,D7: 9..:

* DIS # D6: 9 # G3: 1,2 => CTR => G3: 5
* DIS # D6: 9 + G3: 5 # A5: 6,7 => CTR => A5: 2,3,5
* DIS # D6: 9 + G3: 5 + A5: 2,3,5 # C5: 6,7 => CTR => C5: 2,3
* PRF # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # H4: 1,6 => SOL
* STA # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 + H4: 1,6
* CNT   4 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

98.7..6....5.94.3.........74..8.2....1.........8.3..4..4.....8...9..8..5....4.9.3 initial
98.7..6.4..5.94.3...4.8..974..8.2....1.4.......8.3..4..4.....8...9..84.58...4.9.3 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G4,G5: 3.. / G4 = 3  =>  1 pairs (_) / G5 = 3  =>  1 pairs (_)
C1,F1: 3.. / C1 = 3  =>  3 pairs (_) / F1 = 3  =>  1 pairs (_)
H1,G3: 5.. / H1 = 5  =>  3 pairs (_) / G3 = 5  =>  1 pairs (_)
A7,B9: 5.. / A7 = 5  =>  2 pairs (_) / B9 = 5  =>  0 pairs (_)
A2,B2: 7.. / A2 = 7  =>  1 pairs (_) / B2 = 7  =>  0 pairs (_)
G2,I2: 8.. / G2 = 8  =>  1 pairs (_) / I2 = 8  =>  2 pairs (_)
G5,I5: 8.. / G5 = 8  =>  2 pairs (_) / I5 = 8  =>  1 pairs (_)
G2,G5: 8.. / G2 = 8  =>  1 pairs (_) / G5 = 8  =>  2 pairs (_)
I2,I5: 8.. / I2 = 8  =>  2 pairs (_) / I5 = 8  =>  1 pairs (_)
B4,B6: 9.. / B4 = 9  =>  1 pairs (_) / B6 = 9  =>  0 pairs (_)
D7,F7: 9.. / D7 = 9  =>  0 pairs (_) / F7 = 9  =>  3 pairs (_)
B4,I4: 9.. / B4 = 9  =>  1 pairs (_) / I4 = 9  =>  0 pairs (_)
F5,I5: 9.. / F5 = 9  =>  0 pairs (_) / I5 = 9  =>  3 pairs (_)
D6,D7: 9.. / D6 = 9  =>  3 pairs (_) / D7 = 9  =>  0 pairs (_)
* DURATION: 0:00:11.167946  START: 10:10:06.584852  END: 10:10:17.752798 2020-09-23
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H1,G3: 5.. / H1 = 5 ==>  3 pairs (_) / G3 = 5 ==>  1 pairs (_)
C1,F1: 3.. / C1 = 3 ==>  3 pairs (_) / F1 = 3 ==>  1 pairs (_)
D6,D7: 9.. / D6 = 9 ==>  0 pairs (*) / D7 = 9  =>  0 pairs (X)
* DURATION: 0:01:02.934032  START: 10:10:17.753634  END: 10:11:20.687666 2020-09-23
* REASONING C1,F1: 3..
* DIS # C1: 3 # B6: 2,6 => CTR => B6: 5,7,9
* DIS # C1: 3 + B6: 5,7,9 # B4: 6,7 => CTR => B4: 3,5,9
* DIS # C1: 3 + B6: 5,7,9 + B4: 3,5,9 # A5: 6,7 => CTR => A5: 2,3,5
* CNT   3 HDP CHAINS /  60 HYP OPENED
* REASONING D6,D7: 9..
* DIS # D6: 9 # G3: 1,2 => CTR => G3: 5
* DIS # D6: 9 + G3: 5 # A5: 6,7 => CTR => A5: 2,3,5
* DIS # D6: 9 + G3: 5 + A5: 2,3,5 # C5: 6,7 => CTR => C5: 2,3
* PRF # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # H4: 1,6 => SOL
* STA # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 + H4: 1,6
* CNT   4 HDP CHAINS /  16 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

2123939;2018_11_28;PAQ;24;11.60;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H1,G3: 5..:

* INC # H1: 5 # D2: 1,2 => UNS
* INC # H1: 5 # D3: 1,2 => UNS
* INC # H1: 5 # C1: 1,2 => UNS
* INC # H1: 5 # C1: 3 => UNS
* INC # H1: 5 # E7: 1,2 => UNS
* INC # H1: 5 # E8: 1,2 => UNS
* INC # H1: 5 # D3: 1,3 => UNS
* INC # H1: 5 # F3: 1,3 => UNS
* INC # H1: 5 # C1: 1,3 => UNS
* INC # H1: 5 # C1: 2 => UNS
* INC # H1: 5 # F7: 1,3 => UNS
* INC # H1: 5 # F7: 5,6,7,9 => UNS
* INC # H1: 5 # G2: 1,2 => UNS
* INC # H1: 5 # I2: 1,2 => UNS
* INC # H1: 5 # A3: 1,2 => UNS
* INC # H1: 5 # D3: 1,2 => UNS
* INC # H1: 5 # G6: 1,2 => UNS
* INC # H1: 5 # G7: 1,2 => UNS
* INC # H1: 5 => UNS
* INC # G3: 5 # G2: 1,2 => UNS
* INC # G3: 5 # I2: 1,2 => UNS
* INC # G3: 5 # C1: 1,2 => UNS
* INC # G3: 5 # E1: 1,2 => UNS
* INC # G3: 5 # H8: 1,2 => UNS
* INC # G3: 5 # H9: 1,2 => UNS
* INC # G3: 5 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for C1,F1: 3..:

* INC # C1: 3 # A2: 2,6 => UNS
* INC # C1: 3 # B2: 2,6 => UNS
* INC # C1: 3 # A3: 2,6 => UNS
* INC # C1: 3 # D3: 2,6 => UNS
* INC # C1: 3 # D3: 1,3,5 => UNS
* DIS # C1: 3 # B6: 2,6 => CTR => B6: 5,7,9
* INC # C1: 3 + B6: 5,7,9 # B8: 2,6 => UNS
* INC # C1: 3 + B6: 5,7,9 # B9: 2,6 => UNS
* INC # C1: 3 + B6: 5,7,9 # A2: 2,6 => UNS
* INC # C1: 3 + B6: 5,7,9 # B2: 2,6 => UNS
* INC # C1: 3 + B6: 5,7,9 # A3: 2,6 => UNS
* INC # C1: 3 + B6: 5,7,9 # D3: 2,6 => UNS
* INC # C1: 3 + B6: 5,7,9 # D3: 1,3,5 => UNS
* INC # C1: 3 + B6: 5,7,9 # B8: 2,6 => UNS
* INC # C1: 3 + B6: 5,7,9 # B9: 2,6 => UNS
* INC # C1: 3 + B6: 5,7,9 # E1: 1,5 => UNS
* INC # C1: 3 + B6: 5,7,9 # D3: 1,5 => UNS
* INC # C1: 3 + B6: 5,7,9 # F3: 1,5 => UNS
* INC # C1: 3 + B6: 5,7,9 # H1: 1,5 => UNS
* INC # C1: 3 + B6: 5,7,9 # H1: 2 => UNS
* INC # C1: 3 + B6: 5,7,9 # F6: 1,5 => UNS
* INC # C1: 3 + B6: 5,7,9 # F7: 1,5 => UNS
* INC # C1: 3 + B6: 5,7,9 # F9: 1,5 => UNS
* DIS # C1: 3 + B6: 5,7,9 # B4: 6,7 => CTR => B4: 3,5,9
* DIS # C1: 3 + B6: 5,7,9 + B4: 3,5,9 # A5: 6,7 => CTR => A5: 2,3,5
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # C5: 6,7 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # A6: 6,7 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # E4: 6,7 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # H4: 6,7 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # C7: 6,7 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # C9: 6,7 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # A2: 2,6 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # B2: 2,6 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # A3: 2,6 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # D3: 2,6 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # D3: 1,3,5 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # B8: 2,6 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # B9: 2,6 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # E1: 1,5 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # D3: 1,5 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # F3: 1,5 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # H1: 1,5 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # H1: 2 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # F6: 1,5 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # F7: 1,5 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # F9: 1,5 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # C5: 6,7 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # A6: 6,7 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # E4: 6,7 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # H4: 6,7 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # C7: 6,7 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # C9: 6,7 => UNS
* INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 => UNS
* INC # F1: 3 # A2: 1,2 => UNS
* INC # F1: 3 # A3: 1,2 => UNS
* INC # F1: 3 # E1: 1,2 => UNS
* INC # F1: 3 # H1: 1,2 => UNS
* INC # F1: 3 # C7: 1,2 => UNS
* INC # F1: 3 # C9: 1,2 => UNS
* INC # F1: 3 => UNS
* CNT  60 HDP CHAINS /  60 HYP OPENED

Full list of HDP chains traversed for D6,D7: 9..:

* INC # D6: 9 # H1: 1,2 => UNS
* DIS # D6: 9 # G3: 1,2 => CTR => G3: 5
* INC # D6: 9 + G3: 5 # A2: 1,2 => UNS
* INC # D6: 9 + G3: 5 # D2: 1,2 => UNS
* INC # D6: 9 + G3: 5 # G6: 1,2 => UNS
* INC # D6: 9 + G3: 5 # G7: 1,2 => UNS
* DIS # D6: 9 + G3: 5 # A5: 6,7 => CTR => A5: 2,3,5
* DIS # D6: 9 + G3: 5 + A5: 2,3,5 # C5: 6,7 => CTR => C5: 2,3
* INC # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # A6: 6,7 => UNS
* INC # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # B6: 6,7 => UNS
* INC # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # E4: 6,7 => UNS
* INC # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # H4: 6,7 => UNS
* INC # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # C7: 6,7 => UNS
* INC # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # C9: 6,7 => UNS
* PRF # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # H4: 1,6 => SOL
* STA # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 + H4: 1,6
* CNT  15 HDP CHAINS /  16 HYP OPENED