Analysis of xx-ph-02320250-2019_03_16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7.45......5..9.8..3......5..9....6....5....2..1...6......9.51......1..86 initial

Autosolve

position: 98.76.5..7.45......5..9.8..3......5..9..5.6....5....2..1...6..5...9.51..5...1..86 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for C9,G9: 9..:

* DIS # G9: 9 # B4: 4,7 => CTR => B4: 2
* DIS # G9: 9 + B4: 2 # F6: 4,7 => CTR => F6: 1,3,8,9
* DIS # G9: 9 + B4: 2 + F6: 1,3,8,9 # H5: 4,7 => CTR => H5: 1,3
* DIS # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 # G6: 3 => CTR => G6: 4,7
* DIS # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 + G6: 4,7 # F4: 4,7 => CTR => F4: 1,8,9
* DIS # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 + G6: 4,7 + F4: 1,8,9 # E4: 8 => CTR => E4: 4,7
* PRF # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 + G6: 4,7 + F4: 1,8,9 + E4: 4,7 # C8: 2,7 => SOL
* STA # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 + G6: 4,7 + F4: 1,8,9 + E4: 4,7 + C8: 2,7
* CNT   7 HDP CHAINS /  32 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......5..9....6....5....2..1...6......9.51......1..86 initial
98.76.5..7.45......5..9.8..3......5..9..5.6....5....2..1...6..5...9.51..5...1..86 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H2,H3: 6.. / H2 = 6  =>  1 pairs (_) / H3 = 6  =>  2 pairs (_)
D4,D6: 6.. / D4 = 6  =>  0 pairs (_) / D6 = 6  =>  1 pairs (_)
B2,H2: 6.. / B2 = 6  =>  2 pairs (_) / H2 = 6  =>  1 pairs (_)
H3,I3: 7.. / H3 = 7  =>  2 pairs (_) / I3 = 7  =>  0 pairs (_)
E2,F2: 8.. / E2 = 8  =>  1 pairs (_) / F2 = 8  =>  2 pairs (_)
F4,F6: 9.. / F4 = 9  =>  1 pairs (_) / F6 = 9  =>  0 pairs (_)
C7,C9: 9.. / C7 = 9  =>  5 pairs (_) / C9 = 9  =>  0 pairs (_)
C9,G9: 9.. / C9 = 9  =>  0 pairs (_) / G9 = 9  =>  5 pairs (_)
H2,H7: 9.. / H2 = 9  =>  4 pairs (_) / H7 = 9  =>  0 pairs (_)
* DURATION: 0:00:06.232940  START: 18:35:06.880603  END: 18:35:13.113543 2020-11-10
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C9,G9: 9.. / C9 = 9  =>  0 pairs (X) / G9 = 9 ==>  0 pairs (*)
* DURATION: 0:00:25.518236  START: 18:35:13.114179  END: 18:35:38.632415 2020-11-10
* REASONING C9,G9: 9..
* DIS # G9: 9 # B4: 4,7 => CTR => B4: 2
* DIS # G9: 9 + B4: 2 # F6: 4,7 => CTR => F6: 1,3,8,9
* DIS # G9: 9 + B4: 2 + F6: 1,3,8,9 # H5: 4,7 => CTR => H5: 1,3
* DIS # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 # G6: 3 => CTR => G6: 4,7
* DIS # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 + G6: 4,7 # F4: 4,7 => CTR => F4: 1,8,9
* DIS # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 + G6: 4,7 + F4: 1,8,9 # E4: 8 => CTR => E4: 4,7
* PRF # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 + G6: 4,7 + F4: 1,8,9 + E4: 4,7 # C8: 2,7 => SOL
* STA # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 + G6: 4,7 + F4: 1,8,9 + E4: 4,7 + C8: 2,7
* CNT   7 HDP CHAINS /  32 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

2320250;2019_03_16;PAQ;25;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C9,G9: 9..:

* INC # G9: 9 # C1: 1,2 => UNS
* INC # G9: 9 # C3: 1,2 => UNS
* INC # G9: 9 # D3: 1,2 => UNS
* INC # G9: 9 # F3: 1,2 => UNS
* INC # G9: 9 # A5: 1,2 => UNS
* INC # G9: 9 # A5: 4,8 => UNS
* INC # G9: 9 # I1: 2,3 => UNS
* INC # G9: 9 # I2: 2,3 => UNS
* INC # G9: 9 # E2: 2,3 => UNS
* INC # G9: 9 # F2: 2,3 => UNS
* INC # G9: 9 # G7: 2,3 => UNS
* INC # G9: 9 # G7: 4,7 => UNS
* DIS # G9: 9 # B4: 4,7 => CTR => B4: 2
* INC # G9: 9 + B4: 2 # E6: 4,7 => UNS
* DIS # G9: 9 + B4: 2 # F6: 4,7 => CTR => F6: 1,3,8,9
* INC # G9: 9 + B4: 2 + F6: 1,3,8,9 # G6: 4,7 => UNS
* INC # G9: 9 + B4: 2 + F6: 1,3,8,9 # B8: 4,7 => UNS
* INC # G9: 9 + B4: 2 + F6: 1,3,8,9 # B9: 4,7 => UNS
* INC # G9: 9 + B4: 2 + F6: 1,3,8,9 # E6: 4,7 => UNS
* INC # G9: 9 + B4: 2 + F6: 1,3,8,9 # G6: 4,7 => UNS
* INC # G9: 9 + B4: 2 + F6: 1,3,8,9 # B8: 4,7 => UNS
* INC # G9: 9 + B4: 2 + F6: 1,3,8,9 # B9: 4,7 => UNS
* DIS # G9: 9 + B4: 2 + F6: 1,3,8,9 # H5: 4,7 => CTR => H5: 1,3
* INC # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 # G6: 4,7 => UNS
* INC # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 # G6: 4,7 => UNS
* DIS # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 # G6: 3 => CTR => G6: 4,7
* INC # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 + G6: 4,7 # E4: 4,7 => UNS
* DIS # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 + G6: 4,7 # F4: 4,7 => CTR => F4: 1,8,9
* INC # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 + G6: 4,7 + F4: 1,8,9 # E4: 4,7 => UNS
* DIS # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 + G6: 4,7 + F4: 1,8,9 # E4: 8 => CTR => E4: 4,7
* PRF # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 + G6: 4,7 + F4: 1,8,9 + E4: 4,7 # C8: 2,7 => SOL
* STA # G9: 9 + B4: 2 + F6: 1,3,8,9 + H5: 1,3 + G6: 4,7 + F4: 1,8,9 + E4: 4,7 + C8: 2,7
* CNT  31 HDP CHAINS /  32 HYP OPENED