Analysis of xx-ph-00000429-151-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ...4.6.....6.8.1...7...1.6..3.....9.5.......7..78..2....2..86..7.......39...2..5. initial

Autosolve

position: ...4.6.....6.8.1...7...1.6..3.....9.5.......7..78..2....2..86..7......239...2..5. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000011

List of important HDP chains detected for G1,G9: 7..:

* DIS # G1: 7 # G8: 4,8 => CTR => G8: 9
* DIS # G1: 7 + G8: 9 # G3: 4,8 => CTR => G3: 3,5
* DIS # G1: 7 + G8: 9 + G3: 3,5 # A7: 1,4 => CTR => A7: 3
* DIS # G1: 7 + G8: 9 + G3: 3,5 + A7: 3 # E7: 1,4 => CTR => E7: 5,9
* PRF # G1: 7 + G8: 9 + G3: 3,5 + A7: 3 + E7: 5,9 # B1: 1,2 => SOL
* STA # G1: 7 + G8: 9 + G3: 3,5 + A7: 3 + E7: 5,9 + B1: 1,2
* CNT   5 HDP CHAINS /  47 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

...4.6.....6.8.1...7...1.6..3.....9.5.......7..78..2....2..86..7.......39...2..5. initial
...4.6.....6.8.1...7...1.6..3.....9.5.......7..78..2....2..86..7......239...2..5. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A4,B5: 2.. / A4 = 2  =>  1 pairs (_) / B5 = 2  =>  0 pairs (_)
A7,C9: 3.. / A7 = 3  =>  1 pairs (_) / C9 = 3  =>  2 pairs (_)
A4,A6: 6.. / A4 = 6  =>  3 pairs (_) / A6 = 6  =>  0 pairs (_)
D5,E5: 6.. / D5 = 6  =>  0 pairs (_) / E5 = 6  =>  0 pairs (_)
I4,I6: 6.. / I4 = 6  =>  0 pairs (_) / I6 = 6  =>  3 pairs (_)
B8,B9: 6.. / B8 = 6  =>  0 pairs (_) / B9 = 6  =>  0 pairs (_)
A4,I4: 6.. / A4 = 6  =>  3 pairs (_) / I4 = 6  =>  0 pairs (_)
A6,I6: 6.. / A6 = 6  =>  0 pairs (_) / I6 = 6  =>  3 pairs (_)
B9,D9: 6.. / B9 = 6  =>  0 pairs (_) / D9 = 6  =>  0 pairs (_)
E5,E8: 6.. / E5 = 6  =>  0 pairs (_) / E8 = 6  =>  0 pairs (_)
H7,G9: 7.. / H7 = 7  =>  3 pairs (_) / G9 = 7  =>  2 pairs (_)
G1,G9: 7.. / G1 = 7  =>  3 pairs (_) / G9 = 7  =>  2 pairs (_)
H1,H5: 8.. / H1 = 8  =>  0 pairs (_) / H5 = 8  =>  3 pairs (_)
I7,G8: 9.. / I7 = 9  =>  1 pairs (_) / G8 = 9  =>  2 pairs (_)
* DURATION: 0:00:09.705387  START: 15:58:09.693621  END: 15:58:19.399008 2020-10-25
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G1,G9: 7.. / G1 = 7 ==>  0 pairs (*) / G9 = 7  =>  0 pairs (X)
* DURATION: 0:00:34.531461  START: 15:58:19.399975  END: 15:58:53.931436 2020-10-25
* REASONING G1,G9: 7..
* DIS # G1: 7 # G8: 4,8 => CTR => G8: 9
* DIS # G1: 7 + G8: 9 # G3: 4,8 => CTR => G3: 3,5
* DIS # G1: 7 + G8: 9 + G3: 3,5 # A7: 1,4 => CTR => A7: 3
* DIS # G1: 7 + G8: 9 + G3: 3,5 + A7: 3 # E7: 1,4 => CTR => E7: 5,9
* PRF # G1: 7 + G8: 9 + G3: 3,5 + A7: 3 + E7: 5,9 # B1: 1,2 => SOL
* STA # G1: 7 + G8: 9 + G3: 3,5 + A7: 3 + E7: 5,9 + B1: 1,2
* CNT   5 HDP CHAINS /  47 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

429;151;elev;23;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G1,G9: 7..:

* INC # G1: 7 # G3: 3,8 => UNS
* INC # G1: 7 # G3: 4,5,9 => UNS
* INC # G1: 7 # A1: 3,8 => UNS
* INC # G1: 7 # C1: 3,8 => UNS
* INC # G1: 7 # H5: 3,8 => UNS
* INC # G1: 7 # H5: 1,4 => UNS
* INC # G1: 7 # G3: 3,4 => UNS
* INC # G1: 7 # G3: 5,8,9 => UNS
* INC # G1: 7 # A2: 3,4 => UNS
* INC # G1: 7 # A2: 2 => UNS
* INC # G1: 7 # H5: 3,4 => UNS
* INC # G1: 7 # H6: 3,4 => UNS
* DIS # G1: 7 # G8: 4,8 => CTR => G8: 9
* INC # G1: 7 + G8: 9 # I9: 4,8 => UNS
* INC # G1: 7 + G8: 9 # I9: 4,8 => UNS
* INC # G1: 7 + G8: 9 # I9: 1 => UNS
* DIS # G1: 7 + G8: 9 # G3: 4,8 => CTR => G3: 3,5
* INC # G1: 7 + G8: 9 + G3: 3,5 # G4: 4,8 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # G5: 4,8 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # I9: 4,8 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # I9: 1 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # G4: 4,8 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # G5: 4,8 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # A1: 3,8 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # C1: 3,8 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # H5: 3,8 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # H5: 1,4 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # A2: 3,4 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # A2: 2 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # H5: 3,4 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # H6: 3,4 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # C3: 3,5 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # D3: 3,5 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # E3: 3,5 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # E7: 4,5 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # E8: 4,5 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # B8: 4,5 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # C8: 4,5 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # F4: 4,5 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # F6: 4,5 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # I9: 1,4 => UNS
* INC # G1: 7 + G8: 9 + G3: 3,5 # I9: 8 => UNS
* DIS # G1: 7 + G8: 9 + G3: 3,5 # A7: 1,4 => CTR => A7: 3
* INC # G1: 7 + G8: 9 + G3: 3,5 + A7: 3 # B7: 1,4 => UNS
* DIS # G1: 7 + G8: 9 + G3: 3,5 + A7: 3 # E7: 1,4 => CTR => E7: 5,9
* PRF # G1: 7 + G8: 9 + G3: 3,5 + A7: 3 + E7: 5,9 # B1: 1,2 => SOL
* STA # G1: 7 + G8: 9 + G3: 3,5 + A7: 3 + E7: 5,9 + B1: 1,2
* CNT  46 HDP CHAINS /  47 HYP OPENED