Analysis of xx-ph-01002135-13_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7..8...6...6..5...4....37....85...9...7.......2...71....935..7.........3 initial

Autosolve

position: 98.76.5..7..8...6...6..5..74....37....857..9...7.......2...71....935..7..7......3 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for C1,H1: 3..:

* DIS # C1: 3 # A6: 1,2 => CTR => A6: 5,6
* DIS # C1: 3 + A6: 5,6 # A5: 6 => CTR => A5: 1,2
* DIS # C1: 3 + A6: 5,6 + A5: 1,2 # B2: 1,4 => CTR => B2: 5
* DIS # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 # H3: 1,4 => CTR => H3: 2,3,8
* DIS # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 # B8: 6 => CTR => B8: 1,4
* DIS # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 # C9: 1 => CTR => C9: 4,5
* PRF # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 + C9: 4,5 # I7: 4,5 => SOL
* STA # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 + C9: 4,5 + I7: 4,5
* 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..8...6...6..5...4....37....85...9...7.......2...71....935..7.........3 initial
98.76.5..7..8...6...6..5..74....37....857..9...7.......2...71....935..7..7......3 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
E2,E3: 3.. / E2 = 3  =>  0 pairs (_) / E3 = 3  =>  2 pairs (_)
A7,C7: 3.. / A7 = 3  =>  3 pairs (_) / C7 = 3  =>  0 pairs (_)
C1,H1: 3.. / C1 = 3  =>  3 pairs (_) / H1 = 3  =>  0 pairs (_)
B2,C2: 5.. / B2 = 5  =>  0 pairs (_) / C2 = 5  =>  5 pairs (_)
G3,H3: 8.. / G3 = 8  =>  0 pairs (_) / H3 = 8  =>  1 pairs (_)
B4,B6: 9.. / B4 = 9  =>  0 pairs (_) / B6 = 9  =>  0 pairs (_)
I7,G9: 9.. / I7 = 9  =>  2 pairs (_) / G9 = 9  =>  1 pairs (_)
I2,I7: 9.. / I2 = 9  =>  1 pairs (_) / I7 = 9  =>  2 pairs (_)
* DURATION: 0:00:06.021956  START: 21:40:04.410661  END: 21:40:10.432617 2021-01-09
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B2,C2: 5.. / B2 = 5 ==>  0 pairs (_) / C2 = 5 ==>  5 pairs (_)
C1,H1: 3.. / C1 = 3 ==>  0 pairs (*) / H1 = 3  =>  0 pairs (X)
* DURATION: 0:00:35.388301  START: 21:40:10.433166  END: 21:40:45.821467 2021-01-09
* REASONING C1,H1: 3..
* DIS # C1: 3 # A6: 1,2 => CTR => A6: 5,6
* DIS # C1: 3 + A6: 5,6 # A5: 6 => CTR => A5: 1,2
* DIS # C1: 3 + A6: 5,6 + A5: 1,2 # B2: 1,4 => CTR => B2: 5
* DIS # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 # H3: 1,4 => CTR => H3: 2,3,8
* DIS # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 # B8: 6 => CTR => B8: 1,4
* DIS # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 # C9: 1 => CTR => C9: 4,5
* PRF # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 + C9: 4,5 # I7: 4,5 => SOL
* STA # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 + C9: 4,5 + I7: 4,5
* CNT   7 HDP CHAINS /  32 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

1002135;13_07;GP;25;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B2,C2: 5..:

* INC # C2: 5 # A5: 1,2 => UNS
* INC # C2: 5 # A6: 1,2 => UNS
* INC # C2: 5 # D4: 1,2 => UNS
* INC # C2: 5 # E4: 1,2 => UNS
* INC # C2: 5 # H4: 1,2 => UNS
* INC # C2: 5 # I4: 1,2 => UNS
* INC # C2: 5 # C1: 1,2 => UNS
* INC # C2: 5 # C1: 3,4 => UNS
* INC # C2: 5 # C1: 3,4 => UNS
* INC # C2: 5 # C1: 1,2 => UNS
* INC # C2: 5 # B8: 1,4 => UNS
* INC # C2: 5 # B8: 6 => UNS
* INC # C2: 5 # D9: 1,4 => UNS
* INC # C2: 5 # E9: 1,4 => UNS
* INC # C2: 5 # F9: 1,4 => UNS
* INC # C2: 5 # C1: 1,4 => UNS
* INC # C2: 5 # C1: 2,3 => UNS
* INC # C2: 5 => UNS
* INC # B2: 5 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for C1,H1: 3..:

* INC # C1: 3 # C2: 1,2 => UNS
* INC # C1: 3 # C2: 4,5 => UNS
* INC # C1: 3 # D3: 1,2 => UNS
* INC # C1: 3 # E3: 1,2 => UNS
* INC # C1: 3 # H3: 1,2 => UNS
* INC # C1: 3 # A5: 1,2 => UNS
* DIS # C1: 3 # A6: 1,2 => CTR => A6: 5,6
* INC # C1: 3 + A6: 5,6 # A5: 1,2 => UNS
* DIS # C1: 3 + A6: 5,6 # A5: 6 => CTR => A5: 1,2
* INC # C1: 3 + A6: 5,6 + A5: 1,2 # C2: 1,2 => UNS
* INC # C1: 3 + A6: 5,6 + A5: 1,2 # C2: 4,5 => UNS
* INC # C1: 3 + A6: 5,6 + A5: 1,2 # D3: 1,2 => UNS
* INC # C1: 3 + A6: 5,6 + A5: 1,2 # E3: 1,2 => UNS
* INC # C1: 3 + A6: 5,6 + A5: 1,2 # H3: 1,2 => UNS
* DIS # C1: 3 + A6: 5,6 + A5: 1,2 # B2: 1,4 => CTR => B2: 5
* INC # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 # C2: 1,4 => UNS
* INC # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 # C2: 1,4 => UNS
* INC # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 # C2: 2 => UNS
* INC # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 # D3: 1,4 => UNS
* INC # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 # E3: 1,4 => UNS
* DIS # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 # H3: 1,4 => CTR => H3: 2,3,8
* INC # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 # B8: 1,4 => UNS
* DIS # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 # B8: 6 => CTR => B8: 1,4
* INC # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 # C2: 1,4 => UNS
* INC # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 # C2: 2 => UNS
* INC # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 # D3: 1,4 => UNS
* INC # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 # E3: 1,4 => UNS
* INC # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 # C9: 4,5 => UNS
* DIS # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 # C9: 1 => CTR => C9: 4,5
* INC # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 + C9: 4,5 # H7: 4,5 => UNS
* PRF # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 + C9: 4,5 # I7: 4,5 => SOL
* STA # C1: 3 + A6: 5,6 + A5: 1,2 + B2: 5 + H3: 2,3,8 + B8: 1,4 + C9: 4,5 + I7: 4,5
* CNT  31 HDP CHAINS /  32 HYP OPENED