Analysis of xx-ph-00635332-12_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ....5.7.....9.1.6.........52....8.16.......2..3....4.7.7..4......82.9...9.68..... initial

Autosolve

position: ....5.7.....9.1.6.........52....8.16.......2..3....4.7.7..4......82.9...9.68..... autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for E8,G8: 6..:

* DIS # E8: 6 # H6: 8,9 => CTR => H6: 5
* DIS # E8: 6 + H6: 5 # I1: 8,9 => CTR => I1: 1,2,3,4
* DIS # E8: 6 + H6: 5 + I1: 1,2,3,4 # I5: 3 => CTR => I5: 8,9
* DIS # E8: 6 + H6: 5 + I1: 1,2,3,4 + I5: 8,9 # G3: 2,8 => CTR => G3: 1,9
* DIS # E8: 6 + H6: 5 + I1: 1,2,3,4 + I5: 8,9 + G3: 1,9 # B2: 2,8 => CTR => B2: 4,5
* PRF # E8: 6 + H6: 5 + I1: 1,2,3,4 + I5: 8,9 + G3: 1,9 + B2: 4,5 => SOL
* STA E8: 6
* 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

....5.7.....9.1.6.........52....8.16.......2..3....4.7.7..4......82.9...9.68..... initial
....5.7.....9.1.6.........52....8.16.......2..3....4.7.7..4......82.9...9.68..... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I1,G3: 1.. / I1 = 1  =>  1 pairs (_) / G3 = 1  =>  0 pairs (_)
E6,F6: 2.. / E6 = 2  =>  1 pairs (_) / F6 = 2  =>  2 pairs (_)
C7,B9: 2.. / C7 = 2  =>  0 pairs (_) / B9 = 2  =>  2 pairs (_)
G7,G8: 6.. / G7 = 6  =>  3 pairs (_) / G8 = 6  =>  0 pairs (_)
E8,G8: 6.. / E8 = 6  =>  3 pairs (_) / G8 = 6  =>  0 pairs (_)
H8,H9: 7.. / H8 = 7  =>  0 pairs (_) / H9 = 7  =>  3 pairs (_)
E8,H8: 7.. / E8 = 7  =>  3 pairs (_) / H8 = 7  =>  0 pairs (_)
E2,E3: 8.. / E2 = 8  =>  1 pairs (_) / E3 = 8  =>  0 pairs (_)
A6,H6: 8.. / A6 = 8  =>  1 pairs (_) / H6 = 8  =>  1 pairs (_)
* DURATION: 0:00:05.762913  START: 05:58:41.758315  END: 05:58:47.521228 2020-09-22
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E8,H8: 7.. / E8 = 7 ==>  3 pairs (_) / H8 = 7 ==>  0 pairs (_)
H8,H9: 7.. / H8 = 7 ==>  0 pairs (_) / H9 = 7 ==>  3 pairs (_)
E8,G8: 6.. / E8 = 6 ==>  0 pairs (*) / G8 = 6  =>  0 pairs (X)
* DURATION: 0:00:30.826728  START: 05:58:47.521872  END: 05:59:18.348600 2020-09-22
* REASONING E8,G8: 6..
* DIS # E8: 6 # H6: 8,9 => CTR => H6: 5
* DIS # E8: 6 + H6: 5 # I1: 8,9 => CTR => I1: 1,2,3,4
* DIS # E8: 6 + H6: 5 + I1: 1,2,3,4 # I5: 3 => CTR => I5: 8,9
* DIS # E8: 6 + H6: 5 + I1: 1,2,3,4 + I5: 8,9 # G3: 2,8 => CTR => G3: 1,9
* DIS # E8: 6 + H6: 5 + I1: 1,2,3,4 + I5: 8,9 + G3: 1,9 # B2: 2,8 => CTR => B2: 4,5
* PRF # E8: 6 + H6: 5 + I1: 1,2,3,4 + I5: 8,9 + G3: 1,9 + B2: 4,5 => SOL
* STA E8: 6
* CNT   6 HDP CHAINS /  18 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

635332;12_12;col;22;11.70;11.70;9.40

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E8,H8: 7..:

* INC # E8: 7 # E5: 3,9 => UNS
* INC # E8: 7 # E5: 1,6 => UNS
* INC # E8: 7 # G4: 3,9 => UNS
* INC # E8: 7 # G4: 5 => UNS
* INC # E8: 7 # D7: 1,3 => UNS
* INC # E8: 7 # D7: 5,6 => UNS
* INC # E8: 7 # G9: 1,3 => UNS
* INC # E8: 7 # I9: 1,3 => UNS
* INC # E8: 7 # E5: 1,3 => UNS
* INC # E8: 7 # E5: 6,9 => UNS
* INC # E8: 7 # D7: 3,5 => UNS
* INC # E8: 7 # F7: 3,5 => UNS
* INC # E8: 7 # G9: 3,5 => UNS
* INC # E8: 7 # G9: 1,2 => UNS
* INC # E8: 7 # F5: 3,5 => UNS
* INC # E8: 7 # F5: 4,6,7 => UNS
* INC # E8: 7 => UNS
* INC # H8: 7 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for H8,H9: 7..:

* INC # H9: 7 # E5: 3,9 => UNS
* INC # H9: 7 # E5: 1,6 => UNS
* INC # H9: 7 # G4: 3,9 => UNS
* INC # H9: 7 # G4: 5 => UNS
* INC # H9: 7 # D7: 1,3 => UNS
* INC # H9: 7 # D7: 5,6 => UNS
* INC # H9: 7 # G9: 1,3 => UNS
* INC # H9: 7 # I9: 1,3 => UNS
* INC # H9: 7 # E5: 1,3 => UNS
* INC # H9: 7 # E5: 6,9 => UNS
* INC # H9: 7 # D7: 3,5 => UNS
* INC # H9: 7 # F7: 3,5 => UNS
* INC # H9: 7 # G9: 3,5 => UNS
* INC # H9: 7 # G9: 1,2 => UNS
* INC # H9: 7 # F5: 3,5 => UNS
* INC # H9: 7 # F5: 4,6,7 => UNS
* INC # H9: 7 => UNS
* INC # H8: 7 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for E8,G8: 6..:

* INC # E8: 6 # D7: 3,5 => UNS
* INC # E8: 6 # F9: 3,5 => UNS
* INC # E8: 6 # A7: 3,5 => UNS
* INC # E8: 6 # A7: 1 => UNS
* INC # E8: 6 # F5: 3,5 => UNS
* INC # E8: 6 # F5: 4,6,7 => UNS
* INC # E8: 6 # H1: 8,9 => UNS
* INC # E8: 6 # H3: 8,9 => UNS
* DIS # E8: 6 # H6: 8,9 => CTR => H6: 5
* INC # E8: 6 + H6: 5 # H1: 8,9 => UNS
* INC # E8: 6 + H6: 5 # H3: 8,9 => UNS
* DIS # E8: 6 + H6: 5 # I1: 8,9 => CTR => I1: 1,2,3,4
* INC # E8: 6 + H6: 5 + I1: 1,2,3,4 # I5: 8,9 => UNS
* INC # E8: 6 + H6: 5 + I1: 1,2,3,4 # I5: 8,9 => UNS
* DIS # E8: 6 + H6: 5 + I1: 1,2,3,4 # I5: 3 => CTR => I5: 8,9
* DIS # E8: 6 + H6: 5 + I1: 1,2,3,4 + I5: 8,9 # G3: 2,8 => CTR => G3: 1,9
* DIS # E8: 6 + H6: 5 + I1: 1,2,3,4 + I5: 8,9 + G3: 1,9 # B2: 2,8 => CTR => B2: 4,5
* PRF # E8: 6 + H6: 5 + I1: 1,2,3,4 + I5: 8,9 + G3: 1,9 + B2: 4,5 => SOL
* STA E8: 6
* CNT  18 HDP CHAINS /  18 HYP OPENED