Analysis of xx-ph-00015710-Kz1_b-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.......7.6.........57..8...4..3..2......1..95..8..1.......2.3...8.4...86..5.. initial

Autosolve

position: 98.7.......7.6.........57..8...4..3..2......1..95..8..1......82.3...8.4...86..5.. 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,I9: 3..:

* DIS # G7: 3 # F9: 4,9 => CTR => F9: 1,2,3,7
* PRF # G7: 3 + F9: 1,2,3,7 # H9: 7,9 => SOL
* STA # G7: 3 + F9: 1,2,3,7 + H9: 7,9
* CNT   2 HDP CHAINS /  15 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.......7.6.........57..8...4..3..2......1..95..8..1.......2.3...8.4...86..5.. initial
98.7.......7.6.........57..8...4..3..2......1..95..8..1......82.3...8.4...86..5.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
G8,H9: 1.. / G8 = 1  =>  2 pairs (_) / H9 = 1  =>  2 pairs (_)
G4,H6: 2.. / G4 = 2  =>  2 pairs (_) / H6 = 2  =>  1 pairs (_)
G7,I9: 3.. / G7 = 3  =>  3 pairs (_) / I9 = 3  =>  1 pairs (_)
G5,I6: 4.. / G5 = 4  =>  1 pairs (_) / I6 = 4  =>  1 pairs (_)
I4,H5: 5.. / I4 = 5  =>  1 pairs (_) / H5 = 5  =>  0 pairs (_)
E7,E8: 5.. / E7 = 5  =>  1 pairs (_) / E8 = 5  =>  1 pairs (_)
I2,I3: 8.. / I2 = 8  =>  0 pairs (_) / I3 = 8  =>  1 pairs (_)
D5,E5: 8.. / D5 = 8  =>  0 pairs (_) / E5 = 8  =>  1 pairs (_)
D2,I2: 8.. / D2 = 8  =>  1 pairs (_) / I2 = 8  =>  0 pairs (_)
E3,E5: 8.. / E3 = 8  =>  0 pairs (_) / E5 = 8  =>  1 pairs (_)
B7,B9: 9.. / B7 = 9  =>  3 pairs (_) / B9 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.472537  START: 01:47:04.179362  END: 01:47:11.651899 2020-12-04
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B7,B9: 9.. / B7 = 9 ==>  3 pairs (_) / B9 = 9 ==>  2 pairs (_)
G7,I9: 3.. / G7 = 3 ==>  0 pairs (*) / I9 = 3  =>  0 pairs (X)
* DURATION: 0:00:24.262458  START: 01:47:11.652512  END: 01:47:35.914970 2020-12-04
* REASONING G7,I9: 3..
* DIS # G7: 3 # F9: 4,9 => CTR => F9: 1,2,3,7
* PRF # G7: 3 + F9: 1,2,3,7 # H9: 7,9 => SOL
* STA # G7: 3 + F9: 1,2,3,7 + H9: 7,9
* CNT   2 HDP CHAINS /  15 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

15710;Kz1 b;GP;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B7,B9: 9..:

* INC # B7: 9 # A9: 4,7 => UNS
* INC # B7: 9 # A9: 2 => UNS
* INC # B7: 9 # B6: 4,7 => UNS
* INC # B7: 9 # B6: 1,6 => UNS
* INC # B7: 9 # F7: 3,4 => UNS
* INC # B7: 9 # F9: 3,4 => UNS
* INC # B7: 9 # D2: 3,4 => UNS
* INC # B7: 9 # D3: 3,4 => UNS
* INC # B7: 9 # G1: 3,6 => UNS
* INC # B7: 9 # G1: 1,2,4 => UNS
* INC # B7: 9 => UNS
* INC # B9: 9 # E9: 1,7 => UNS
* INC # B9: 9 # F9: 1,7 => UNS
* INC # B9: 9 # E9: 3,7 => UNS
* INC # B9: 9 # F9: 3,7 => UNS
* INC # B9: 9 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for G7,I9: 3..:

* INC # G7: 3 # A8: 2,5 => UNS
* INC # G7: 3 # A8: 7 => UNS
* INC # G7: 3 # E8: 2,5 => UNS
* INC # G7: 3 # E8: 1,7,9 => UNS
* INC # G7: 3 # C1: 2,5 => UNS
* INC # G7: 3 # C1: 1,3,4,6 => UNS
* INC # G7: 3 # F7: 4,9 => UNS
* DIS # G7: 3 # F9: 4,9 => CTR => F9: 1,2,3,7
* INC # G7: 3 + F9: 1,2,3,7 # F7: 4,9 => UNS
* INC # G7: 3 + F9: 1,2,3,7 # F7: 7 => UNS
* INC # G7: 3 + F9: 1,2,3,7 # D2: 4,9 => UNS
* INC # G7: 3 + F9: 1,2,3,7 # D3: 4,9 => UNS
* INC # G7: 3 + F9: 1,2,3,7 # I8: 7,9 => UNS
* PRF # G7: 3 + F9: 1,2,3,7 # H9: 7,9 => SOL
* STA # G7: 3 + F9: 1,2,3,7 + H9: 7,9
* CNT  14 HDP CHAINS /  15 HYP OPENED