Analysis of xx-ph-00001496-H89-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .......39.....1..5..3.5.6....8.9...3.7...2...1..4.......6.8..9..2....8..4..7..... initial

Autosolve

position: .......39.....1..5..3.5.6....8.9...3.7...2...1..4.......6.8..9..2....8..48.7..... autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for G7,G9: 3..:

* DIS # G7: 3 # C1: 4,5 => CTR => C1: 1,2,7
* DIS # G7: 3 + C1: 1,2,7 # D5: 1,5 => CTR => D5: 3,6,8
* DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 # G4: 1,5 => CTR => G4: 2,4,7
* DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 # H4: 1,5 => CTR => H4: 2,4,7
* DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 + H4: 2,4,7 # F6: 5,7 => CTR => F6: 6,8
* PRF # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 + H4: 2,4,7 + F6: 6,8 => SOL
* STA G7: 3
* CNT   6 HDP CHAINS /  18 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

.......39.....1..5..3.5.6....8.9...3.7...2...1..4.......6.8..9..2....8..4..7..... initial
.......39.....1..5..3.5.6....8.9...3.7...2...1..4.......6.8..9..2....8..48.7..... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A4,C6: 2.. / A4 = 2  =>  1 pairs (_) / C6 = 2  =>  1 pairs (_)
D7,E9: 2.. / D7 = 2  =>  2 pairs (_) / E9 = 2  =>  1 pairs (_)
D2,E2: 3.. / D2 = 3  =>  1 pairs (_) / E2 = 3  =>  6 pairs (_)
A5,B6: 3.. / A5 = 3  =>  3 pairs (_) / B6 = 3  =>  2 pairs (_)
G7,G9: 3.. / G7 = 3  =>  8 pairs (_) / G9 = 3  =>  0 pairs (_)
B6,B7: 3.. / B6 = 3  =>  2 pairs (_) / B7 = 3  =>  3 pairs (_)
B4,C5: 4.. / B4 = 4  =>  3 pairs (_) / C5 = 4  =>  1 pairs (_)
D5,F6: 8.. / D5 = 8  =>  2 pairs (_) / F6 = 8  =>  0 pairs (_)
G5,G6: 9.. / G5 = 9  =>  1 pairs (_) / G6 = 9  =>  1 pairs (_)
C9,F9: 9.. / C9 = 9  =>  6 pairs (_) / F9 = 9  =>  1 pairs (_)
* DURATION: 0:00:07.863893  START: 20:50:30.499598  END: 20:50:38.363491 2020-11-28
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G7,G9: 3.. / G7 = 3 ==>  0 pairs (*) / G9 = 3  =>  0 pairs (X)
* DURATION: 0:00:21.940375  START: 20:50:38.364228  END: 20:51:00.304603 2020-11-28
* REASONING G7,G9: 3..
* DIS # G7: 3 # C1: 4,5 => CTR => C1: 1,2,7
* DIS # G7: 3 + C1: 1,2,7 # D5: 1,5 => CTR => D5: 3,6,8
* DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 # G4: 1,5 => CTR => G4: 2,4,7
* DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 # H4: 1,5 => CTR => H4: 2,4,7
* DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 + H4: 2,4,7 # F6: 5,7 => CTR => F6: 6,8
* PRF # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 + H4: 2,4,7 + F6: 6,8 => SOL
* STA G7: 3
* CNT   6 HDP CHAINS /  18 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1496;H89;col;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G7,G9: 3..:

* INC # G7: 3 # B4: 4,5 => UNS
* INC # G7: 3 # B4: 6 => UNS
* INC # G7: 3 # G5: 4,5 => UNS
* INC # G7: 3 # H5: 4,5 => UNS
* DIS # G7: 3 # C1: 4,5 => CTR => C1: 1,2,7
* INC # G7: 3 + C1: 1,2,7 # B4: 4,5 => UNS
* INC # G7: 3 + C1: 1,2,7 # B4: 6 => UNS
* INC # G7: 3 + C1: 1,2,7 # G5: 4,5 => UNS
* INC # G7: 3 + C1: 1,2,7 # H5: 4,5 => UNS
* INC # G7: 3 + C1: 1,2,7 # A4: 2,5 => UNS
* INC # G7: 3 + C1: 1,2,7 # A4: 6 => UNS
* INC # G7: 3 + C1: 1,2,7 # H6: 2,5 => UNS
* INC # G7: 3 + C1: 1,2,7 # H6: 6,7,8 => UNS
* DIS # G7: 3 + C1: 1,2,7 # D5: 1,5 => CTR => D5: 3,6,8
* DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 # G4: 1,5 => CTR => G4: 2,4,7
* DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 # H4: 1,5 => CTR => H4: 2,4,7
* DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 + H4: 2,4,7 # F6: 5,7 => CTR => F6: 6,8
* PRF # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 + H4: 2,4,7 + F6: 6,8 => SOL
* STA G7: 3
* CNT  18 HDP CHAINS /  18 HYP OPENED