Analysis of xx-ph-00314108-12_12_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1..2..3.4..5.46.7.......4..8...1...3.9...7.2....7.5.6..59.......6..8..... initial

Autosolve

position: ........1..2..3.4..5.46.7.......4..8...1...3.9...7.2....7.5.6..59.......6..8..... autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for E2,F3: 1..:

* DIS # F3: 1 # F6: 5,6 => CTR => F6: 8
* DIS # F3: 1 + F6: 8 # C6: 5,6 => CTR => C6: 1,3,4
* DIS # F3: 1 + F6: 8 + C6: 1,3,4 # I6: 5,6 => CTR => I6: 4
* DIS # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 # D4: 5,6 => CTR => D4: 2,9
* DIS # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 + D4: 2,9 # B1: 7 => CTR => B1: 4,6
* DIS # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 + D4: 2,9 + B1: 4,6 # C5: 5 => CTR => C5: 4,6
* PRF # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 + D4: 2,9 + B1: 4,6 + C5: 4,6 # E1: 8,9 => SOL
* STA # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 + D4: 2,9 + B1: 4,6 + C5: 4,6 + E1: 8,9
* CNT   7 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

........1..2..3.4..5.46.7.......4..8...1...3.9...7.2....7.5.6..59.......6..8..... initial
........1..2..3.4..5.46.7.......4..8...1...3.9...7.2....7.5.6..59.......6..8..... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E2,F3: 1.. / E2 = 1  =>  1 pairs (_) / F3 = 1  =>  6 pairs (_)
G1,I3: 3.. / G1 = 3  =>  1 pairs (_) / I3 = 3  =>  1 pairs (_)
E8,E9: 4.. / E8 = 4  =>  0 pairs (_) / E9 = 4  =>  1 pairs (_)
H1,I2: 6.. / H1 = 6  =>  2 pairs (_) / I2 = 6  =>  1 pairs (_)
D8,F8: 6.. / D8 = 6  =>  1 pairs (_) / F8 = 6  =>  1 pairs (_)
B2,I2: 6.. / B2 = 6  =>  2 pairs (_) / I2 = 6  =>  1 pairs (_)
H4,I5: 7.. / H4 = 7  =>  0 pairs (_) / I5 = 7  =>  0 pairs (_)
C1,C3: 9.. / C1 = 9  =>  1 pairs (_) / C3 = 9  =>  2 pairs (_)
* DURATION: 0:00:04.818243  START: 03:20:15.956131  END: 03:20:20.774374 2020-12-25
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E2,F3: 1.. / E2 = 1  =>  0 pairs (X) / F3 = 1 ==>  0 pairs (*)
* DURATION: 0:00:20.761949  START: 03:20:20.775041  END: 03:20:41.536990 2020-12-25
* REASONING E2,F3: 1..
* DIS # F3: 1 # F6: 5,6 => CTR => F6: 8
* DIS # F3: 1 + F6: 8 # C6: 5,6 => CTR => C6: 1,3,4
* DIS # F3: 1 + F6: 8 + C6: 1,3,4 # I6: 5,6 => CTR => I6: 4
* DIS # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 # D4: 5,6 => CTR => D4: 2,9
* DIS # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 + D4: 2,9 # B1: 7 => CTR => B1: 4,6
* DIS # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 + D4: 2,9 + B1: 4,6 # C5: 5 => CTR => C5: 4,6
* PRF # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 + D4: 2,9 + B1: 4,6 + C5: 4,6 # E1: 8,9 => SOL
* STA # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 + D4: 2,9 + B1: 4,6 + C5: 4,6 + E1: 8,9
* CNT   7 HDP CHAINS /  25 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

314108;12_12_03;dob;22;11.30;11.30;9.90

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E2,F3: 1..:

* INC # F3: 1 # A1: 3,8 => UNS
* INC # F3: 1 # B1: 3,8 => UNS
* INC # F3: 1 # C1: 3,8 => UNS
* INC # F3: 1 # C3: 3,8 => UNS
* INC # F3: 1 # A7: 3,8 => UNS
* INC # F3: 1 # A7: 1,2,4 => UNS
* INC # F3: 1 # E1: 8,9 => UNS
* INC # F3: 1 # F1: 8,9 => UNS
* INC # F3: 1 # G2: 8,9 => UNS
* INC # F3: 1 # G2: 5 => UNS
* INC # F3: 1 # E5: 8,9 => UNS
* INC # F3: 1 # E5: 2 => UNS
* INC # F3: 1 # D4: 5,6 => UNS
* INC # F3: 1 # F5: 5,6 => UNS
* DIS # F3: 1 # F6: 5,6 => CTR => F6: 8
* DIS # F3: 1 + F6: 8 # C6: 5,6 => CTR => C6: 1,3,4
* INC # F3: 1 + F6: 8 + C6: 1,3,4 # H6: 5,6 => UNS
* DIS # F3: 1 + F6: 8 + C6: 1,3,4 # I6: 5,6 => CTR => I6: 4
* DIS # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 # D4: 5,6 => CTR => D4: 2,9
* INC # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 + D4: 2,9 # B1: 4,6 => UNS
* DIS # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 + D4: 2,9 # B1: 7 => CTR => B1: 4,6
* INC # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 + D4: 2,9 + B1: 4,6 # C5: 4,6 => UNS
* DIS # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 + D4: 2,9 + B1: 4,6 # C5: 5 => CTR => C5: 4,6
* PRF # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 + D4: 2,9 + B1: 4,6 + C5: 4,6 # E1: 8,9 => SOL
* STA # F3: 1 + F6: 8 + C6: 1,3,4 + I6: 4 + D4: 2,9 + B1: 4,6 + C5: 4,6 + E1: 8,9
* CNT  24 HDP CHAINS /  25 HYP OPENED