Analysis of xx-ph-00050475-12_10-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7......9...5..98..57...8.6...4.3.......6.7...45...6.8....2....4......1.. initial

Autosolve

position: 98.76.5..7......9...5..98..57...8.6...4.3.......6.7...45...6.8....2....4......1.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for F1,H1: 4..:

* DIS # F1: 4 # D2: 1,3 => CTR => D2: 5,8
* DIS # F1: 4 + D2: 5,8 # E2: 1,2 => CTR => E2: 5,8
* DIS # F1: 4 + D2: 5,8 + E2: 5,8 # F2: 3 => CTR => F2: 1,2
* DIS # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 # F8: 1 => CTR => F8: 3,5
* PRF # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 + F8: 3,5 # I9: 3,5 => SOL
* STA # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 + F8: 3,5 + I9: 3,5
* CNT   5 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

98.76.5..7......9...5..98..57...8.6...4.3.......6.7...45...6.8....2....4......1.. initial
98.76.5..7......9...5..98..57...8.6...4.3.......6.7...45...6.8....2....4......1.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
B2,B3: 4.. / B2 = 4  =>  0 pairs (_) / B3 = 4  =>  2 pairs (_)
F1,H1: 4.. / F1 = 4  =>  3 pairs (_) / H1 = 4  =>  0 pairs (_)
A5,B5: 6.. / A5 = 6  =>  0 pairs (_) / B5 = 6  =>  0 pairs (_)
G8,I9: 6.. / G8 = 6  =>  0 pairs (_) / I9 = 6  =>  2 pairs (_)
G2,G8: 6.. / G2 = 6  =>  2 pairs (_) / G8 = 6  =>  0 pairs (_)
H3,I3: 7.. / H3 = 7  =>  1 pairs (_) / I3 = 7  =>  0 pairs (_)
D2,E2: 8.. / D2 = 8  =>  0 pairs (_) / E2 = 8  =>  0 pairs (_)
I5,I6: 8.. / I5 = 8  =>  0 pairs (_) / I6 = 8  =>  0 pairs (_)
A5,I5: 8.. / A5 = 8  =>  0 pairs (_) / I5 = 8  =>  0 pairs (_)
D2,D9: 8.. / D2 = 8  =>  0 pairs (_) / D9 = 8  =>  0 pairs (_)
* DURATION: 0:00:05.831845  START: 04:12:03.493886  END: 04:12:09.325731 2020-12-20
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F1,H1: 4.. / F1 = 4 ==>  0 pairs (*) / H1 = 4  =>  0 pairs (X)
* DURATION: 0:00:18.144981  START: 04:12:09.326250  END: 04:12:27.471231 2020-12-20
* REASONING F1,H1: 4..
* DIS # F1: 4 # D2: 1,3 => CTR => D2: 5,8
* DIS # F1: 4 + D2: 5,8 # E2: 1,2 => CTR => E2: 5,8
* DIS # F1: 4 + D2: 5,8 + E2: 5,8 # F2: 3 => CTR => F2: 1,2
* DIS # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 # F8: 1 => CTR => F8: 3,5
* PRF # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 + F8: 3,5 # I9: 3,5 => SOL
* STA # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 + F8: 3,5 + I9: 3,5
* CNT   5 HDP CHAINS /  25 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

50475;12_10;GP;25;11.30;11.30;7.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F1,H1: 4..:

* DIS # F1: 4 # D2: 1,3 => CTR => D2: 5,8
* INC # F1: 4 + D2: 5,8 # F2: 1,3 => UNS
* INC # F1: 4 + D2: 5,8 # F2: 1,3 => UNS
* INC # F1: 4 + D2: 5,8 # F2: 2,5 => UNS
* INC # F1: 4 + D2: 5,8 # A3: 1,3 => UNS
* INC # F1: 4 + D2: 5,8 # B3: 1,3 => UNS
* INC # F1: 4 + D2: 5,8 # H3: 1,3 => UNS
* INC # F1: 4 + D2: 5,8 # I3: 1,3 => UNS
* INC # F1: 4 + D2: 5,8 # D7: 1,3 => UNS
* INC # F1: 4 + D2: 5,8 # D7: 9 => UNS
* DIS # F1: 4 + D2: 5,8 # E2: 1,2 => CTR => E2: 5,8
* INC # F1: 4 + D2: 5,8 + E2: 5,8 # F2: 1,2 => UNS
* INC # F1: 4 + D2: 5,8 + E2: 5,8 # F2: 1,2 => UNS
* DIS # F1: 4 + D2: 5,8 + E2: 5,8 # F2: 3 => CTR => F2: 1,2
* INC # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 # A3: 1,2 => UNS
* INC # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 # B3: 1,2 => UNS
* INC # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 # H3: 1,2 => UNS
* INC # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 # I3: 1,2 => UNS
* INC # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 # E4: 1,2 => UNS
* INC # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 # E6: 1,2 => UNS
* INC # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 # F8: 3,5 => UNS
* DIS # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 # F8: 1 => CTR => F8: 3,5
* INC # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 + F8: 3,5 # H9: 3,5 => UNS
* PRF # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 + F8: 3,5 # I9: 3,5 => SOL
* STA # F1: 4 + D2: 5,8 + E2: 5,8 + F2: 1,2 + F8: 3,5 + I9: 3,5
* CNT  24 HDP CHAINS /  25 HYP OPENED