Analysis of xx-ph-00000423-H72-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6....5.9..4......3...5...8..2..24........8.....1.5..2..9....1....7.....63.. initial

Autosolve

position: 98.7..6....5.9..4......3...5...8..2..24........8.....1.5..2..9....1....7.....63.. 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 G7,H9: 1..:

* DIS # H9: 1 # I7: 4,8 => CTR => I7: 6
* DIS # H9: 1 + I7: 6 # G8: 4,8 => CTR => G8: 2,5
* PRF # H9: 1 + I7: 6 + G8: 2,5 # A7: 4,8 => SOL
* STA # H9: 1 + I7: 6 + G8: 2,5 + A7: 4,8
* CNT   3 HDP CHAINS /  11 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....5.9..4......3...5...8..2..24........8.....1.5..2..9....1....7.....63.. initial
98.7..6....5.9..4......3...5...8..2..24........8.....1.5..2..9....1....7.....63.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
G7,H9: 1.. / G7 = 1  =>  1 pairs (_) / H9 = 1  =>  2 pairs (_)
D6,F6: 2.. / D6 = 2  =>  1 pairs (_) / F6 = 2  =>  1 pairs (_)
G8,I9: 2.. / G8 = 2  =>  0 pairs (_) / I9 = 2  =>  2 pairs (_)
D7,E8: 3.. / D7 = 3  =>  1 pairs (_) / E8 = 3  =>  1 pairs (_)
A3,B3: 4.. / A3 = 4  =>  0 pairs (_) / B3 = 4  =>  0 pairs (_)
E1,F1: 4.. / E1 = 4  =>  2 pairs (_) / F1 = 4  =>  2 pairs (_)
I7,H8: 6.. / I7 = 6  =>  1 pairs (_) / H8 = 6  =>  1 pairs (_)
F7,E9: 7.. / F7 = 7  =>  1 pairs (_) / E9 = 7  =>  1 pairs (_)
G3,I3: 9.. / G3 = 9  =>  1 pairs (_) / I3 = 9  =>  0 pairs (_)
F8,D9: 9.. / F8 = 9  =>  0 pairs (_) / D9 = 9  =>  0 pairs (_)
* DURATION: 0:00:08.048248  START: 16:08:13.647757  END: 16:08:21.696005 2020-10-18
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E1,F1: 4.. / E1 = 4 ==>  2 pairs (_) / F1 = 4 ==>  2 pairs (_)
G7,H9: 1.. / G7 = 1  =>  0 pairs (X) / H9 = 1 ==>  0 pairs (*)
* DURATION: 0:00:22.319106  START: 16:08:21.696604  END: 16:08:44.015710 2020-10-18
* REASONING G7,H9: 1..
* DIS # H9: 1 # I7: 4,8 => CTR => I7: 6
* DIS # H9: 1 + I7: 6 # G8: 4,8 => CTR => G8: 2,5
* PRF # H9: 1 + I7: 6 + G8: 2,5 # A7: 4,8 => SOL
* STA # H9: 1 + I7: 6 + G8: 2,5 + A7: 4,8
* CNT   3 HDP CHAINS /  11 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

423;H72;GP;22;11.40;11.40;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E1,F1: 4..:

* INC # E1: 4 # E5: 3,5 => UNS
* INC # E1: 4 # E6: 3,5 => UNS
* INC # E1: 4 # E5: 5,7 => UNS
* INC # E1: 4 # E6: 5,7 => UNS
* INC # E1: 4 => UNS
* INC # F1: 4 # E3: 1,5 => UNS
* INC # F1: 4 # E3: 6 => UNS
* INC # F1: 4 # H1: 1,5 => UNS
* INC # F1: 4 # H1: 3 => UNS
* INC # F1: 4 # E5: 1,5 => UNS
* INC # F1: 4 # E5: 3,6,7 => UNS
* INC # F1: 4 # A7: 7,8 => UNS
* INC # F1: 4 # A7: 1,3,4,6 => UNS
* INC # F1: 4 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for G7,H9: 1..:

* INC # H9: 1 # I1: 3,5 => UNS
* INC # H9: 1 # I1: 2 => UNS
* INC # H9: 1 # H5: 3,5 => UNS
* INC # H9: 1 # H6: 3,5 => UNS
* DIS # H9: 1 # I7: 4,8 => CTR => I7: 6
* DIS # H9: 1 + I7: 6 # G8: 4,8 => CTR => G8: 2,5
* INC # H9: 1 + I7: 6 + G8: 2,5 # I9: 4,8 => UNS
* INC # H9: 1 + I7: 6 + G8: 2,5 # I9: 4,8 => UNS
* INC # H9: 1 + I7: 6 + G8: 2,5 # I9: 2,5 => UNS
* PRF # H9: 1 + I7: 6 + G8: 2,5 # A7: 4,8 => SOL
* STA # H9: 1 + I7: 6 + G8: 2,5 + A7: 4,8
* CNT  10 HDP CHAINS /  11 HYP OPENED