Analysis of xx-ph-00041304-12_07-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
- Deep Constraint Pair Analysis
- Very Deep Constraint Pair Analysis
Details
Appendix: Full HDP Chains
- A1. Deep Constraint Pair Analysis
- A2. Very Deep Constraint Pair Analysis

Original Sudoku

level: very deep

position: 98.7..6..7..6..58.....84...6..9..7...9......3..7.2....1......56.79...1.....1..... initial

Autosolve

position: 98.7..6..7..6..58.....84...6..9..7...9......3..7.2....1......56.79...1.....1..... autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

See Appendix: Full HDP Chains for full list of HDP chains.

Very Deep Constraint Pair Analysis

Time used: 0:03:48.909030

List of important HDP chains detected for F6,H6: 6..:

* DIS # H6: 6 # I3: 1,2 # B3: 1,2 => CTR => B3: 3,5,6
* CNT   1 HDP CHAINS /  76 HYP OPENED

List of important HDP chains detected for H5,H6: 6..:

* DIS # H6: 6 # I3: 1,2 # B3: 1,2 => CTR => B3: 3,5,6
* CNT   1 HDP CHAINS /  76 HYP OPENED

List of important HDP chains detected for E5,E8: 6..:

* DIS # E5: 6 # I3: 1,2 # B3: 1,2 => CTR => B3: 3,5,6
* CNT   1 HDP CHAINS /  76 HYP OPENED

List of important HDP chains detected for E8,F8: 6..:

* DIS # F8: 6 # I3: 1,2 # B3: 1,2 => CTR => B3: 3,5,6
* CNT   1 HDP CHAINS /  76 HYP OPENED

List of important HDP chains detected for E2,F2: 9..:

* PRF # F2: 9 # E1: 1,3 # E5: 4,5 => SOL
* STA # F2: 9 # E1: 1,3 + E5: 4,5
* CNT   1 HDP CHAINS /  23 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Details

This sudoku is very deep. Here is some information that may be helpful on how to proceed.

Positions

`98.7..6..7..6..58.....84...6..9..7...9......3..7.2....1......56.79...1.....1.....`	initial
`98.7..6..7..6..58.....84...6..9..7...9......3..7.2....1......56.79...1.....1.....`	autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I4,I6: 5.. / I4 = 5  =>  0 pairs (_) / I6 = 5  =>  2 pairs (_)
B3,C3: 6.. / B3 = 6  =>  0 pairs (_) / C3 = 6  =>  0 pairs (_)
H5,H6: 6.. / H5 = 6  =>  0 pairs (_) / H6 = 6  =>  4 pairs (_)
B9,C9: 6.. / B9 = 6  =>  0 pairs (_) / C9 = 6  =>  0 pairs (_)
E8,F8: 6.. / E8 = 6  =>  0 pairs (_) / F8 = 6  =>  2 pairs (_)
F6,H6: 6.. / F6 = 6  =>  0 pairs (_) / H6 = 6  =>  4 pairs (_)
B3,B9: 6.. / B3 = 6  =>  0 pairs (_) / B9 = 6  =>  0 pairs (_)
C3,C9: 6.. / C3 = 6  =>  0 pairs (_) / C9 = 6  =>  0 pairs (_)
E5,E8: 6.. / E5 = 6  =>  2 pairs (_) / E8 = 6  =>  0 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  0 pairs (_)
E5,F5: 7.. / E5 = 7  =>  0 pairs (_) / F5 = 7  =>  0 pairs (_)
E7,F7: 7.. / E7 = 7  =>  0 pairs (_) / F7 = 7  =>  0 pairs (_)
H9,I9: 7.. / H9 = 7  =>  0 pairs (_) / I9 = 7  =>  0 pairs (_)
E5,E7: 7.. / E5 = 7  =>  0 pairs (_) / E7 = 7  =>  0 pairs (_)
F5,F7: 7.. / F5 = 7  =>  0 pairs (_) / F7 = 7  =>  0 pairs (_)
H3,H9: 7.. / H3 = 7  =>  0 pairs (_) / H9 = 7  =>  0 pairs (_)
I3,I9: 7.. / I3 = 7  =>  0 pairs (_) / I9 = 7  =>  0 pairs (_)
E2,F2: 9.. / E2 = 9  =>  0 pairs (_) / F2 = 9  =>  1 pairs (_)
* DURATION: 0:00:11.492441  START: 21:03:22.529498  END: 21:03:34.021939 2020-12-18
* CP COUNT: (18)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F6,H6: 6.. / F6 = 6 ==>  0 pairs (_) / H6 = 6 ==>  4 pairs (_)
H5,H6: 6.. / H5 = 6 ==>  0 pairs (_) / H6 = 6 ==>  4 pairs (_)
E5,E8: 6.. / E5 = 6 ==>  2 pairs (_) / E8 = 6 ==>  0 pairs (_)
E8,F8: 6.. / E8 = 6 ==>  0 pairs (_) / F8 = 6 ==>  2 pairs (_)
I4,I6: 5.. / I4 = 5 ==>  0 pairs (_) / I6 = 5 ==>  2 pairs (_)
E2,F2: 9.. / E2 = 9 ==>  0 pairs (_) / F2 = 9 ==>  1 pairs (_)
I3,I9: 7.. / I3 = 7 ==>  0 pairs (_) / I9 = 7 ==>  0 pairs (_)
H3,H9: 7.. / H3 = 7 ==>  0 pairs (_) / H9 = 7 ==>  0 pairs (_)
F5,F7: 7.. / F5 = 7 ==>  0 pairs (_) / F7 = 7 ==>  0 pairs (_)
E5,E7: 7.. / E5 = 7 ==>  0 pairs (_) / E7 = 7 ==>  0 pairs (_)
H9,I9: 7.. / H9 = 7 ==>  0 pairs (_) / I9 = 7 ==>  0 pairs (_)
E7,F7: 7.. / E7 = 7 ==>  0 pairs (_) / F7 = 7 ==>  0 pairs (_)
E5,F5: 7.. / E5 = 7 ==>  0 pairs (_) / F5 = 7 ==>  0 pairs (_)
H3,I3: 7.. / H3 = 7 ==>  0 pairs (_) / I3 = 7 ==>  0 pairs (_)
C3,C9: 6.. / C3 = 6 ==>  0 pairs (_) / C9 = 6 ==>  0 pairs (_)
B3,B9: 6.. / B3 = 6 ==>  0 pairs (_) / B9 = 6 ==>  0 pairs (_)
B9,C9: 6.. / B9 = 6 ==>  0 pairs (_) / C9 = 6 ==>  0 pairs (_)
B3,C3: 6.. / B3 = 6 ==>  0 pairs (_) / C3 = 6 ==>  0 pairs (_)
* DURATION: 0:00:39.893724  START: 21:03:34.022567  END: 21:04:13.916291 2020-12-18
* DCP COUNT: (18)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
F6,H6: 6.. / F6 = 6 ==>  0 pairs (_) / H6 = 6 ==>  4 pairs (_)
H5,H6: 6.. / H5 = 6 ==>  0 pairs (_) / H6 = 6 ==>  4 pairs (_)
E5,E8: 6.. / E5 = 6 ==>  2 pairs (_) / E8 = 6 ==>  0 pairs (_)
E8,F8: 6.. / E8 = 6 ==>  0 pairs (_) / F8 = 6 ==>  2 pairs (_)
I4,I6: 5.. / I4 = 5 ==>  0 pairs (_) / I6 = 5 ==>  2 pairs (_)
E2,F2: 9.. / E2 = 9  =>  0 pairs (X) / F2 = 9 ==>  0 pairs (*)
* DURATION: 0:03:48.907687  START: 21:04:14.103386  END: 21:08:03.011073 2020-12-18
* REASONING F6,H6: 6..
* DIS # H6: 6 # I3: 1,2 # B3: 1,2 => CTR => B3: 3,5,6
* CNT   1 HDP CHAINS /  76 HYP OPENED
* REASONING H5,H6: 6..
* DIS # H6: 6 # I3: 1,2 # B3: 1,2 => CTR => B3: 3,5,6
* CNT   1 HDP CHAINS /  76 HYP OPENED
* REASONING E5,E8: 6..
* DIS # E5: 6 # I3: 1,2 # B3: 1,2 => CTR => B3: 3,5,6
* CNT   1 HDP CHAINS /  76 HYP OPENED
* REASONING E8,F8: 6..
* DIS # F8: 6 # I3: 1,2 # B3: 1,2 => CTR => B3: 3,5,6
* CNT   1 HDP CHAINS /  76 HYP OPENED
* REASONING E2,F2: 9..
* PRF # F2: 9 # E1: 1,3 # E5: 4,5 => SOL
* STA # F2: 9 # E1: 1,3 + E5: 4,5
* CNT   1 HDP CHAINS /  23 HYP OPENED
* VDCP COUNT: (6)
* SOLUTION FOUND

Header Info

41304;12_07;GP;24;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F6,H6: 6..:

* INC # H6: 6 # I3: 7,9 => UNS
* INC # H6: 6 # I3: 1,2 => UNS
* INC # H6: 6 # I9: 7,9 => UNS
* INC # H6: 6 # I9: 2,4,8 => UNS
* INC # H6: 6 => UNS
* INC # F6: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for H5,H6: 6..:

* INC # H6: 6 # I3: 7,9 => UNS
* INC # H6: 6 # I3: 1,2 => UNS
* INC # H6: 6 # I9: 7,9 => UNS
* INC # H6: 6 # I9: 2,4,8 => UNS
* INC # H6: 6 => UNS
* INC # H5: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for E5,E8: 6..:

* INC # E5: 6 # I3: 7,9 => UNS
* INC # E5: 6 # I3: 1,2 => UNS
* INC # E5: 6 # I9: 7,9 => UNS
* INC # E5: 6 # I9: 2,4,8 => UNS
* INC # E5: 6 => UNS
* INC # E8: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for E8,F8: 6..:

* INC # F8: 6 # I3: 7,9 => UNS
* INC # F8: 6 # I3: 1,2 => UNS
* INC # F8: 6 # I9: 7,9 => UNS
* INC # F8: 6 # I9: 2,4,8 => UNS
* INC # F8: 6 => UNS
* INC # E8: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for I4,I6: 5..:

* INC # I6: 5 # H3: 7,9 => UNS
* INC # I6: 5 # H3: 1,2,3 => UNS
* INC # I6: 5 # H9: 7,9 => UNS
* INC # I6: 5 # H9: 2,3,4 => UNS
* INC # I6: 5 => UNS
* INC # I4: 5 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for E2,F2: 9..:

* INC # F2: 9 # E1: 1,3 => UNS
* INC # F2: 9 # F1: 1,3 => UNS
* INC # F2: 9 # B2: 1,3 => UNS
* INC # F2: 9 # C2: 1,3 => UNS
* INC # F2: 9 # E4: 1,3 => UNS
* INC # F2: 9 # E4: 4,5 => UNS
* INC # F2: 9 => UNS
* INC # E2: 9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for I3,I9: 7..:

* INC # I3: 7 => UNS
* INC # I9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H3,H9: 7..:

* INC # H3: 7 => UNS
* INC # H9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F5,F7: 7..:

* INC # F5: 7 => UNS
* INC # F7: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E5,E7: 7..:

* INC # E5: 7 => UNS
* INC # E7: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H9,I9: 7..:

* INC # H9: 7 => UNS
* INC # I9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E7,F7: 7..:

* INC # E7: 7 => UNS
* INC # F7: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E5,F5: 7..:

* INC # E5: 7 => UNS
* INC # F5: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H3,I3: 7..:

* INC # H3: 7 => UNS
* INC # I3: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C3,C9: 6..:

* INC # C3: 6 => UNS
* INC # C9: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B3,B9: 6..:

* INC # B3: 6 => UNS
* INC # B9: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B9,C9: 6..:

* INC # B9: 6 => UNS
* INC # C9: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B3,C3: 6..:

* INC # B3: 6 => UNS
* INC # C3: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis