Analysis of xx-ph-00014736-kz1a-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
- Deep Constraint Pair Analysis
Details
Appendix: Full HDP Chains
- A1. Deep Constraint Pair Analysis

Original Sudoku

level: deep

position: 98.7..6....5.9..4......3..92..3....7.4....5....6....8.1...3...2.6...2......1.7... initial

Autosolve

position: 98.7..6....5.9..4......3..92..3....7.4....5....6....8.1...3...2.6...2......1.7... autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for A2,A3: 6..:

* DIS # A3: 6 # A8: 3,7 => CTR => A8: 4,5,8
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for I5,I9: 6..:

* DIS # I5: 6 # F4: 1,9 => CTR => F4: 4,5,6,8
* DIS # I9: 6 # I6: 1,3 => CTR => I6: 4
* DIS # I9: 6 + I6: 4 # I8: 1,3 => CTR => I8: 5,8
* DIS # I9: 6 + I6: 4 + I8: 5,8 # H4: 1,9 => CTR => H4: 6
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 # B4: 1,9 => CTR => B4: 5
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 # F4: 1,9 => CTR => F4: 4,8
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 + F4: 4,8 # C4: 8 => CTR => C4: 1,9
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 + F4: 4,8 + C4: 1,9 # G8: 3,4,7 => CTR => G8: 1,9
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 + F4: 4,8 + C4: 1,9 + G8: 1,9 # H5: 1,9 => CTR => H5: 2,3
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 + F4: 4,8 + C4: 1,9 + G8: 1,9 + H5: 2,3 => CTR => I9: 3,4,5,8
* STA I9: 3,4,5,8
* CNT  10 HDP CHAINS /  49 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

`98.7..6....5.9..4......3..92..3....7.4....5....6....8.1...3...2.6...2......1.7...`	initial
`98.7..6....5.9..4......3..92..3....7.4....5....6....8.1...3...2.6...2......1.7...`	autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H5,G6: 2.. / H5 = 2  =>  0 pairs (_) / G6 = 2  =>  0 pairs (_)
B9,C9: 2.. / B9 = 2  =>  1 pairs (_) / C9 = 2  =>  0 pairs (_)
A2,A3: 6.. / A2 = 6  =>  3 pairs (_) / A3 = 6  =>  1 pairs (_)
I5,I9: 6.. / I5 = 6  =>  1 pairs (_) / I9 = 6  =>  1 pairs (_)
E5,E6: 7.. / E5 = 7  =>  1 pairs (_) / E6 = 7  =>  1 pairs (_)
* DURATION: 0:00:03.536975  START: 07:36:32.217409  END: 07:36:35.754384 2020-10-19
* CP COUNT: (5)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A2,A3: 6.. / A2 = 6 ==>  3 pairs (_) / A3 = 6 ==>  1 pairs (_)
E5,E6: 7.. / E5 = 7 ==>  1 pairs (_) / E6 = 7 ==>  1 pairs (_)
I5,I9: 6.. / I5 = 6 ==>  1 pairs (_) / I9 = 6 ==>  0 pairs (X)
B9,C9: 2.. / B9 = 2 ==>  1 pairs (_) / C9 = 2 ==>  0 pairs (_)
H5,G6: 2.. / H5 = 2 ==>  0 pairs (_) / G6 = 2 ==>  0 pairs (_)
* DURATION: 0:00:58.262097  START: 07:36:35.755034  END: 07:37:34.017131 2020-10-19
* REASONING A2,A3: 6..
* DIS # A3: 6 # A8: 3,7 => CTR => A8: 4,5,8
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING I5,I9: 6..
* DIS # I5: 6 # F4: 1,9 => CTR => F4: 4,5,6,8
* DIS # I9: 6 # I6: 1,3 => CTR => I6: 4
* DIS # I9: 6 + I6: 4 # I8: 1,3 => CTR => I8: 5,8
* DIS # I9: 6 + I6: 4 + I8: 5,8 # H4: 1,9 => CTR => H4: 6
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 # B4: 1,9 => CTR => B4: 5
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 # F4: 1,9 => CTR => F4: 4,8
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 + F4: 4,8 # C4: 8 => CTR => C4: 1,9
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 + F4: 4,8 + C4: 1,9 # G8: 3,4,7 => CTR => G8: 1,9
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 + F4: 4,8 + C4: 1,9 + G8: 1,9 # H5: 1,9 => CTR => H5: 2,3
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 + F4: 4,8 + C4: 1,9 + G8: 1,9 + H5: 2,3 => CTR => I9: 3,4,5,8
* STA I9: 3,4,5,8
* CNT  10 HDP CHAINS /  49 HYP OPENED
* DCP COUNT: (5)
* CLUE FOUND

Header Info

14736;kz1a;GP;23;11.40;11.40;10.70

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A2,A3: 6..:

* INC # A2: 6 # C3: 4,7 => UNS
* INC # A2: 6 # C3: 1,2 => UNS
* INC # A2: 6 # A8: 4,7 => UNS
* INC # A2: 6 # A8: 3,5,8 => UNS
* INC # A2: 6 # D3: 2,8 => UNS
* INC # A2: 6 # E3: 2,8 => UNS
* INC # A2: 6 # G2: 2,8 => UNS
* INC # A2: 6 # G2: 1,3,7 => UNS
* INC # A2: 6 # D5: 2,8 => UNS
* INC # A2: 6 # D5: 6,9 => UNS
* INC # A2: 6 # E3: 1,8 => UNS
* INC # A2: 6 # E3: 2,4,5,6 => UNS
* INC # A2: 6 # G2: 1,8 => UNS
* INC # A2: 6 # I2: 1,8 => UNS
* INC # A2: 6 # F4: 1,8 => UNS
* INC # A2: 6 # F5: 1,8 => UNS
* INC # A2: 6 => UNS
* INC # A3: 6 # B2: 3,7 => UNS
* INC # A3: 6 # B2: 1,2 => UNS
* INC # A3: 6 # G2: 3,7 => UNS
* INC # A3: 6 # G2: 1,2,8 => UNS
* INC # A3: 6 # A5: 3,7 => UNS
* INC # A3: 6 # A6: 3,7 => UNS
* DIS # A3: 6 # A8: 3,7 => CTR => A8: 4,5,8
* INC # A3: 6 + A8: 4,5,8 # B2: 3,7 => UNS
* INC # A3: 6 + A8: 4,5,8 # B2: 1,2 => UNS
* INC # A3: 6 + A8: 4,5,8 # G2: 3,7 => UNS
* INC # A3: 6 + A8: 4,5,8 # G2: 1,2,8 => UNS
* INC # A3: 6 + A8: 4,5,8 # A5: 3,7 => UNS
* INC # A3: 6 + A8: 4,5,8 # A6: 3,7 => UNS
* INC # A3: 6 + A8: 4,5,8 # B2: 3,7 => UNS
* INC # A3: 6 + A8: 4,5,8 # B2: 1,2 => UNS
* INC # A3: 6 + A8: 4,5,8 # G2: 3,7 => UNS
* INC # A3: 6 + A8: 4,5,8 # G2: 1,2,8 => UNS
* INC # A3: 6 + A8: 4,5,8 # A5: 3,7 => UNS
* INC # A3: 6 + A8: 4,5,8 # A6: 3,7 => UNS
* INC # A3: 6 + A8: 4,5,8 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for E5,E6: 7..:

* INC # E5: 7 # C5: 3,8 => UNS
* INC # E5: 7 # C5: 1,9 => UNS
* INC # E5: 7 # A8: 3,8 => UNS
* INC # E5: 7 # A9: 3,8 => UNS
* INC # E5: 7 => UNS
* INC # E6: 7 # B6: 3,5 => UNS
* INC # E6: 7 # B6: 1,9 => UNS
* INC # E6: 7 # A8: 3,5 => UNS
* INC # E6: 7 # A9: 3,5 => UNS
* INC # E6: 7 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for I5,I9: 6..:

* INC # I5: 6 # G4: 1,9 => UNS
* INC # I5: 6 # H5: 1,9 => UNS
* INC # I5: 6 # G6: 1,9 => UNS
* INC # I5: 6 # B4: 1,9 => UNS
* INC # I5: 6 # C4: 1,9 => UNS
* DIS # I5: 6 # F4: 1,9 => CTR => F4: 4,5,6,8
* INC # I5: 6 + F4: 4,5,6,8 # H8: 1,9 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # H8: 3,5,7 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # G4: 1,9 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # H5: 1,9 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # G6: 1,9 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # B4: 1,9 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # C4: 1,9 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # H8: 1,9 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # H8: 3,5,7 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # G4: 1,9 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # H5: 1,9 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # G6: 1,9 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # B4: 1,9 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # C4: 1,9 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # H8: 1,9 => UNS
* INC # I5: 6 + F4: 4,5,6,8 # H8: 3,5,7 => UNS
* INC # I5: 6 + F4: 4,5,6,8 => UNS
* INC # I9: 6 # H5: 1,3 => UNS
* INC # I9: 6 # G6: 1,3 => UNS
* DIS # I9: 6 # I6: 1,3 => CTR => I6: 4
* INC # I9: 6 + I6: 4 # C5: 1,3 => UNS
* INC # I9: 6 + I6: 4 # C5: 7,8,9 => UNS
* INC # I9: 6 + I6: 4 # I1: 1,3 => UNS
* INC # I9: 6 + I6: 4 # I2: 1,3 => UNS
* DIS # I9: 6 + I6: 4 # I8: 1,3 => CTR => I8: 5,8
* INC # I9: 6 + I6: 4 + I8: 5,8 # H5: 1,3 => UNS
* INC # I9: 6 + I6: 4 + I8: 5,8 # G6: 1,3 => UNS
* INC # I9: 6 + I6: 4 + I8: 5,8 # C5: 1,3 => UNS
* INC # I9: 6 + I6: 4 + I8: 5,8 # C5: 7,8,9 => UNS
* INC # I9: 6 + I6: 4 + I8: 5,8 # I1: 1,3 => UNS
* INC # I9: 6 + I6: 4 + I8: 5,8 # I2: 1,3 => UNS
* DIS # I9: 6 + I6: 4 + I8: 5,8 # H4: 1,9 => CTR => H4: 6
* INC # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 # H5: 1,9 => UNS
* INC # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 # G6: 1,9 => UNS
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 # B4: 1,9 => CTR => B4: 5
* INC # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 # C4: 1,9 => UNS
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 # F4: 1,9 => CTR => F4: 4,8
* INC # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 + F4: 4,8 # C4: 1,9 => UNS
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 + F4: 4,8 # C4: 8 => CTR => C4: 1,9
* INC # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 + F4: 4,8 + C4: 1,9 # G8: 1,9 => UNS
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 + F4: 4,8 + C4: 1,9 # G8: 3,4,7 => CTR => G8: 1,9
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 + F4: 4,8 + C4: 1,9 + G8: 1,9 # H5: 1,9 => CTR => H5: 2,3
* DIS # I9: 6 + I6: 4 + I8: 5,8 + H4: 6 + B4: 5 + F4: 4,8 + C4: 1,9 + G8: 1,9 + H5: 2,3 => CTR => I9: 3,4,5,8
* STA I9: 3,4,5,8
* CNT  49 HDP CHAINS /  49 HYP OPENED

Full list of HDP chains traversed for B9,C9: 2..:

* INC # B9: 2 # B2: 1,7 => UNS
* INC # B9: 2 # C3: 1,7 => UNS
* INC # B9: 2 # G3: 1,7 => UNS
* INC # B9: 2 # H3: 1,7 => UNS
* INC # B9: 2 # B6: 1,7 => UNS
* INC # B9: 2 # B6: 3,5,9 => UNS
* INC # B9: 2 => UNS
* INC # C9: 2 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for H5,G6: 2..:

* INC # H5: 2 => UNS
* INC # G6: 2 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED