Analysis of xx-ph-00015796-Kz1_b-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6.....7....7.5..8..4..3......64..8.......2.14..85..9......4..2......1..3 initial

Autosolve

position: 98.7.....6.....7....7.5..8..4..3......64..8.......2.14..85..9......4..28.....1..3 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for A7,H7: 4..:

* DIS # A7: 4 # I7: 6,7 => CTR => I7: 1
* DIS # A7: 4 + I7: 1 # B7: 6,7 => CTR => B7: 2,3
* DIS # A7: 4 + I7: 1 + B7: 2,3 # G1: 5,6 => CTR => G1: 1,2,3,4
* PRF # A7: 4 + I7: 1 + B7: 2,3 + G1: 1,2,3,4 # G4: 5,6 => SOL
* STA # A7: 4 + I7: 1 + B7: 2,3 + G1: 1,2,3,4 + G4: 5,6
* CNT   4 HDP CHAINS /  25 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.....7....7.5..8..4..3......64..8.......2.14..85..9......4..2......1..3 initial
98.7.....6.....7....7.5..8..4..3......64..8.......2.14..85..9......4..28.....1..3 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E5: 1.. / D4 = 1  =>  1 pairs (_) / E5 = 1  =>  1 pairs (_)
I7,G8: 1.. / I7 = 1  =>  1 pairs (_) / G8 = 1  =>  1 pairs (_)
H5,G6: 3.. / H5 = 3  =>  1 pairs (_) / G6 = 3  =>  1 pairs (_)
A7,H7: 4.. / A7 = 4  =>  1 pairs (_) / H7 = 4  =>  1 pairs (_)
F4,F5: 5.. / F4 = 5  =>  2 pairs (_) / F5 = 5  =>  0 pairs (_)
A4,A6: 8.. / A4 = 8  =>  0 pairs (_) / A6 = 8  =>  1 pairs (_)
D9,E9: 8.. / D9 = 8  =>  2 pairs (_) / E9 = 8  =>  0 pairs (_)
F2,F4: 8.. / F2 = 8  =>  0 pairs (_) / F4 = 8  =>  2 pairs (_)
* DURATION: 0:00:06.146065  START: 03:23:15.852220  END: 03:23:21.998285 2020-12-04
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F2,F4: 8.. / F2 = 8 ==>  0 pairs (_) / F4 = 8 ==>  2 pairs (_)
D9,E9: 8.. / D9 = 8 ==>  2 pairs (_) / E9 = 8 ==>  0 pairs (_)
F4,F5: 5.. / F4 = 5 ==>  2 pairs (_) / F5 = 5 ==>  0 pairs (_)
A7,H7: 4.. / A7 = 4 ==>  0 pairs (*) / H7 = 4  =>  0 pairs (X)
* DURATION: 0:00:38.856945  START: 03:23:21.998978  END: 03:24:00.855923 2020-12-04
* REASONING A7,H7: 4..
* DIS # A7: 4 # I7: 6,7 => CTR => I7: 1
* DIS # A7: 4 + I7: 1 # B7: 6,7 => CTR => B7: 2,3
* DIS # A7: 4 + I7: 1 + B7: 2,3 # G1: 5,6 => CTR => G1: 1,2,3,4
* PRF # A7: 4 + I7: 1 + B7: 2,3 + G1: 1,2,3,4 # G4: 5,6 => SOL
* STA # A7: 4 + I7: 1 + B7: 2,3 + G1: 1,2,3,4 + G4: 5,6
* CNT   4 HDP CHAINS /  25 HYP OPENED
* DCP COUNT: (4)
* SOLUTION FOUND

Header Info

15796;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 F2,F4: 8..:

* INC # F4: 8 # D4: 6,9 => UNS
* INC # F4: 8 # E6: 6,9 => UNS
* INC # F4: 8 # D3: 6,9 => UNS
* INC # F4: 8 # D8: 6,9 => UNS
* INC # F4: 8 # D9: 6,9 => UNS
* INC # F4: 8 # D9: 2,6 => UNS
* INC # F4: 8 # E9: 2,6 => UNS
* INC # F4: 8 # B7: 2,6 => UNS
* INC # F4: 8 # B7: 1,3,7 => UNS
* INC # F4: 8 # E1: 2,6 => UNS
* INC # F4: 8 # E1: 1 => UNS
* INC # F4: 8 => UNS
* INC # F2: 8 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for D9,E9: 8..:

* INC # D9: 8 # D3: 1,6 => UNS
* INC # D9: 8 # D3: 2,3,9 => UNS
* INC # D9: 8 # G1: 1,6 => UNS
* INC # D9: 8 # I1: 1,6 => UNS
* INC # D9: 8 # D4: 6,9 => UNS
* INC # D9: 8 # F4: 6,9 => UNS
* INC # D9: 8 # E6: 6,9 => UNS
* INC # D9: 8 # D3: 6,9 => UNS
* INC # D9: 8 # D8: 6,9 => UNS
* INC # D9: 8 => UNS
* INC # E9: 8 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for F4,F5: 5..:

* INC # F4: 5 # E5: 7,9 => UNS
* INC # F4: 5 # E6: 7,9 => UNS
* INC # F4: 5 # B5: 7,9 => UNS
* INC # F4: 5 # H5: 7,9 => UNS
* INC # F4: 5 # I5: 7,9 => UNS
* INC # F4: 5 # F8: 7,9 => UNS
* INC # F4: 5 # F8: 3,6 => UNS
* INC # F4: 5 # I4: 2,6 => UNS
* INC # F4: 5 # I4: 7,9 => UNS
* INC # F4: 5 # G1: 2,6 => UNS
* INC # F4: 5 # G3: 2,6 => UNS
* INC # F4: 5 => UNS
* INC # F5: 5 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for A7,H7: 4..:

* DIS # A7: 4 # I7: 6,7 => CTR => I7: 1
* INC # A7: 4 + I7: 1 # H9: 6,7 => UNS
* INC # A7: 4 + I7: 1 # H9: 6,7 => UNS
* INC # A7: 4 + I7: 1 # H9: 4,5 => UNS
* DIS # A7: 4 + I7: 1 # B7: 6,7 => CTR => B7: 2,3
* INC # A7: 4 + I7: 1 + B7: 2,3 # E7: 6,7 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # F7: 6,7 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # H9: 6,7 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # H9: 4,5 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # E7: 6,7 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # F7: 6,7 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # B2: 2,3 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # B3: 2,3 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # B5: 2,3 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # H9: 6,7 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # H9: 4,5 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # E7: 6,7 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # F7: 6,7 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # G9: 5,6 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # H9: 5,6 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # B8: 5,6 => UNS
* INC # A7: 4 + I7: 1 + B7: 2,3 # B8: 1,3,7,9 => UNS
* DIS # A7: 4 + I7: 1 + B7: 2,3 # G1: 5,6 => CTR => G1: 1,2,3,4
* PRF # A7: 4 + I7: 1 + B7: 2,3 + G1: 1,2,3,4 # G4: 5,6 => SOL
* STA # A7: 4 + I7: 1 + B7: 2,3 + G1: 1,2,3,4 + G4: 5,6
* CNT  24 HDP CHAINS /  25 HYP OPENED