Analysis of xx-ph-00545580-12_12-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..7...5......4..8.7.4....3.8..9.2..3.6..3.....1.4...9.....91..5......6...2 initial

Autosolve

position: 98.7..6..7...5......4..8.7.4....3.8..9.2..3.6..3.....1.4...9.....91..5......6...2 autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

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

Pair Reduction

Pair Reduction

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

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:39.536494

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000016

List of important HDP chains detected for H7,H8: 6..:

* DIS # H7: 6 # H9: 3,4 => CTR => H9: 1,9
* CNT   1 HDP CHAINS /  44 HYP OPENED

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:17.059634

List of important HDP chains detected for F2,F6: 6..:

* PRF # F2: 6 # C1: 1,2 # E1: 1,2 => SOL
* STA # F2: 6 # C1: 1,2 + E1: 1,2
* CNT   1 HDP CHAINS /  21 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...5......4..8.7.4....3.8..9.2..3.6..3.....1.4...9.....91..5......6...2 initial
98.7..6..7...5......4..8.7.4....3.8..9.2..3.6..3.....1.4...9.....91..5......6...2 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
H5: 4,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H7,H8: 6.. / H7 = 6  =>  2 pairs (_) / H8 = 6  =>  2 pairs (_)
F2,F6: 6.. / F2 = 6  =>  3 pairs (_) / F6 = 6  =>  2 pairs (_)
G2,I2: 8.. / G2 = 8  =>  2 pairs (_) / I2 = 8  =>  2 pairs (_)
G9,H9: 9.. / G9 = 9  =>  3 pairs (_) / H9 = 9  =>  1 pairs (_)
* DURATION: 0:00:02.726982  START: 19:59:49.495553  END: 19:59:52.222535 2020-12-27
* CP COUNT: (4)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F2,F6: 6.. / F2 = 6 ==>  3 pairs (_) / F6 = 6 ==>  2 pairs (_)
G9,H9: 9.. / G9 = 9 ==>  3 pairs (_) / H9 = 9 ==>  1 pairs (_)
G2,I2: 8.. / G2 = 8 ==>  2 pairs (_) / I2 = 8 ==>  2 pairs (_)
H7,H8: 6.. / H7 = 6 ==>  3 pairs (_) / H8 = 6 ==>  2 pairs (_)
* DURATION: 0:00:58.510121  START: 20:00:37.346809  END: 20:01:35.856930 2020-12-27
* REASONING H7,H8: 6..
* DIS # H7: 6 # H9: 3,4 => CTR => H9: 1,9
* CNT   1 HDP CHAINS /  44 HYP OPENED
* DCP COUNT: (4)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
F2,F6: 6.. / F2 = 6 ==>  0 pairs (*) / F6 = 6  =>  0 pairs (X)
* DURATION: 0:00:17.057800  START: 20:01:35.921546  END: 20:01:52.979346 2020-12-27
* REASONING F2,F6: 6..
* PRF # F2: 6 # C1: 1,2 # E1: 1,2 => SOL
* STA # F2: 6 # C1: 1,2 + E1: 1,2
* CNT   1 HDP CHAINS /  21 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

545580;12_12;GP;25;11.30;11.30;11.10

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # H6: 4,5 => UNS
* INC # H6: 2,9 => UNS
* INC # F5: 4,5 => UNS
* INC # F5: 1,7 => UNS
* INC # H1: 4,5 => UNS
* INC # H1: 1,2,3 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # H6: 4,5 => UNS
* INC # H6: 2,9 => UNS
* INC # F5: 4,5 => UNS
* INC # F5: 1,7 => UNS
* INC # H1: 4,5 => UNS
* INC # H1: 1,2,3 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # H6: 4,5 => UNS
* INC # H6: 2,9 => UNS
* INC # F5: 4,5 => UNS
* INC # F5: 1,7 => UNS
* INC # H1: 4,5 => UNS
* INC # H1: 1,2,3 => UNS
* INC # H6: 4,5 # G2: 1,9 => UNS
* INC # H6: 4,5 # H2: 1,9 => UNS
* INC # H6: 4,5 # E3: 1,9 => UNS
* INC # H6: 4,5 # E3: 2,3 => UNS
* INC # H6: 4,5 # G9: 1,9 => UNS
* INC # H6: 4,5 # G9: 4,7,8 => UNS
* INC # H6: 4,5 # G4: 7,9 => UNS
* INC # H6: 4,5 # G6: 7,9 => UNS
* INC # H6: 4,5 # E4: 7,9 => UNS
* INC # H6: 4,5 # E4: 1 => UNS
* INC # H6: 4,5 # F5: 4,5 => UNS
* INC # H6: 4,5 # F5: 1,7 => UNS
* INC # H6: 4,5 # D6: 4,5 => UNS
* INC # H6: 4,5 # F6: 4,5 => UNS
* INC # H6: 4,5 # H7: 3,6 => UNS
* INC # H6: 4,5 # H7: 1 => UNS
* INC # H6: 4,5 # A8: 3,6 => UNS
* INC # H6: 4,5 # B8: 3,6 => UNS
* INC # H6: 4,5 => UNS
* INC # H6: 2,9 # F5: 4,5 => UNS
* INC # H6: 2,9 # F5: 1,7 => UNS
* INC # H6: 2,9 # H1: 4,5 => UNS
* INC # H6: 2,9 # H1: 1,2,3 => UNS
* INC # H6: 2,9 # G4: 2,9 => UNS
* INC # H6: 2,9 # G6: 2,9 => UNS
* INC # H6: 2,9 # H2: 2,9 => UNS
* INC # H6: 2,9 # H2: 1,3,4 => UNS
* INC # H6: 2,9 => UNS
* INC # F5: 4,5 # C5: 1,8 => UNS
* INC # F5: 4,5 # C5: 7 => UNS
* INC # F5: 4,5 # E5: 1,8 => UNS
* INC # F5: 4,5 # E5: 7 => UNS
* INC # F5: 4,5 # A7: 1,8 => UNS
* INC # F5: 4,5 # A9: 1,8 => UNS
* INC # F5: 4,5 # D6: 4,5 => UNS
* INC # F5: 4,5 # F6: 4,5 => UNS
* INC # F5: 4,5 # F9: 4,5 => UNS
* INC # F5: 4,5 # F9: 7 => UNS
* INC # F5: 4,5 # H6: 4,5 => UNS
* INC # F5: 4,5 # H6: 2,9 => UNS
* INC # F5: 4,5 # H1: 4,5 => UNS
* INC # F5: 4,5 # H1: 1,2,3 => UNS
* INC # F5: 4,5 => UNS
* INC # F5: 1,7 # E4: 1,7 => UNS
* INC # F5: 1,7 # E5: 1,7 => UNS
* INC # F5: 1,7 # C5: 1,7 => UNS
* INC # F5: 1,7 # C5: 5,8 => UNS
* INC # F5: 1,7 # H6: 4,5 => UNS
* INC # F5: 1,7 # H6: 2,9 => UNS
* INC # F5: 1,7 # H1: 4,5 => UNS
* INC # F5: 1,7 # H1: 1,2,3 => UNS
* INC # F5: 1,7 => UNS
* INC # H1: 4,5 # I1: 4,5 => UNS
* INC # H1: 4,5 # I1: 3 => UNS
* INC # H1: 4,5 # F5: 4,5 => UNS
* INC # H1: 4,5 # F5: 1,7 => UNS
* INC # H1: 4,5 # G4: 2,9 => UNS
* INC # H1: 4,5 # G6: 2,9 => UNS
* INC # H1: 4,5 # H2: 2,9 => UNS
* INC # H1: 4,5 # H2: 1,3 => UNS
* INC # H1: 4,5 # H7: 3,6 => UNS
* INC # H1: 4,5 # H7: 1 => UNS
* INC # H1: 4,5 # A8: 3,6 => UNS
* INC # H1: 4,5 # B8: 3,6 => UNS
* INC # H1: 4,5 => UNS
* INC # H1: 1,2,3 # G4: 7,9 => UNS
* INC # H1: 1,2,3 # G6: 7,9 => UNS
* INC # H1: 1,2,3 # E4: 7,9 => UNS
* INC # H1: 1,2,3 # E4: 1 => UNS
* INC # H1: 1,2,3 # H6: 4,5 => UNS
* INC # H1: 1,2,3 # H6: 2,9 => UNS
* INC # H1: 1,2,3 # F5: 4,5 => UNS
* INC # H1: 1,2,3 # F5: 1,7 => UNS
* INC # H1: 1,2,3 => UNS
* CNT  80 HDP CHAINS /  80 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F2,F6: 6..:

* INC # F2: 6 # C1: 1,2 => UNS
* INC # F2: 6 # B2: 1,2 => UNS
* INC # F2: 6 # A3: 1,2 => UNS
* INC # F2: 6 # B3: 1,2 => UNS
* INC # F2: 6 # G2: 1,2 => UNS
* INC # F2: 6 # H2: 1,2 => UNS
* INC # F2: 6 # C4: 1,2 => UNS
* INC # F2: 6 # C7: 1,2 => UNS
* INC # F2: 6 # D2: 3,9 => UNS
* INC # F2: 6 # E3: 3,9 => UNS
* INC # F2: 6 # I3: 3,9 => UNS
* INC # F2: 6 # I3: 5 => UNS
* INC # F2: 6 # H6: 4,5 => UNS
* INC # F2: 6 # H6: 2,9 => UNS
* INC # F2: 6 # F5: 4,5 => UNS
* INC # F2: 6 # F5: 1,7 => UNS
* INC # F2: 6 # H1: 4,5 => UNS
* INC # F2: 6 # H1: 1,2,3 => UNS
* INC # F2: 6 => UNS
* INC # F6: 6 # D6: 5,9 => UNS
* INC # F6: 6 # D6: 4,8 => UNS
* INC # F6: 6 # I4: 5,9 => UNS
* INC # F6: 6 # I4: 7 => UNS
* INC # F6: 6 # H6: 4,5 => UNS
* INC # F6: 6 # H6: 2,9 => UNS
* INC # F6: 6 # F5: 4,5 => UNS
* INC # F6: 6 # F5: 1,7 => UNS
* INC # F6: 6 # H1: 4,5 => UNS
* INC # F6: 6 # H1: 1,2,3 => UNS
* INC # F6: 6 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

Full list of HDP chains traversed for G9,H9: 9..:

* INC # G9: 9 # H1: 1,2 => UNS
* INC # G9: 9 # G2: 1,2 => UNS
* INC # G9: 9 # H2: 1,2 => UNS
* INC # G9: 9 # A3: 1,2 => UNS
* INC # G9: 9 # B3: 1,2 => UNS
* INC # G9: 9 # E3: 1,2 => UNS
* INC # G9: 9 # G6: 2,7 => UNS
* INC # G9: 9 # G6: 4 => UNS
* INC # G9: 9 # B4: 2,7 => UNS
* INC # G9: 9 # C4: 2,7 => UNS
* INC # G9: 9 # H6: 4,5 => UNS
* INC # G9: 9 # H6: 2,9 => UNS
* INC # G9: 9 # F5: 4,5 => UNS
* INC # G9: 9 # F5: 1,7 => UNS
* INC # G9: 9 # H1: 4,5 => UNS
* INC # G9: 9 # H1: 1,2,3 => UNS
* INC # G9: 9 => UNS
* INC # H9: 9 # H6: 4,5 => UNS
* INC # H9: 9 # H6: 2 => UNS
* INC # H9: 9 # F5: 4,5 => UNS
* INC # H9: 9 # F5: 1,7 => UNS
* INC # H9: 9 # H1: 4,5 => UNS
* INC # H9: 9 # H1: 1,2,3 => UNS
* INC # H9: 9 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for G2,I2: 8..:

* INC # G2: 8 # H6: 4,5 => UNS
* INC # G2: 8 # H6: 2,9 => UNS
* INC # G2: 8 # F5: 4,5 => UNS
* INC # G2: 8 # F5: 1,7 => UNS
* INC # G2: 8 # H1: 4,5 => UNS
* INC # G2: 8 # H1: 1,2,3 => UNS
* INC # G2: 8 # G9: 1,7 => UNS
* INC # G2: 8 # G9: 4,9 => UNS
* INC # G2: 8 # C7: 1,7 => UNS
* INC # G2: 8 # C7: 2,5,6,8 => UNS
* INC # G2: 8 => UNS
* INC # I2: 8 # H6: 4,5 => UNS
* INC # I2: 8 # H6: 2,9 => UNS
* INC # I2: 8 # F5: 4,5 => UNS
* INC # I2: 8 # F5: 1,7 => UNS
* INC # I2: 8 # H1: 4,5 => UNS
* INC # I2: 8 # H1: 1,2,3 => UNS
* INC # I2: 8 # I8: 3,7 => UNS
* INC # I2: 8 # I8: 4 => UNS
* INC # I2: 8 # E7: 3,7 => UNS
* INC # I2: 8 # E7: 2,8 => UNS
* INC # I2: 8 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for H7,H8: 6..:

* INC # H7: 6 # H6: 4,5 => UNS
* INC # H7: 6 # H6: 2,9 => UNS
* INC # H7: 6 # F5: 4,5 => UNS
* INC # H7: 6 # F5: 1,7 => UNS
* INC # H7: 6 # H1: 4,5 => UNS
* INC # H7: 6 # H1: 1,2,3 => UNS
* INC # H7: 6 # I8: 3,4 => UNS
* DIS # H7: 6 # H9: 3,4 => CTR => H9: 1,9
* INC # H7: 6 + H9: 1,9 # I8: 3,4 => UNS
* INC # H7: 6 + H9: 1,9 # I8: 7,8 => UNS
* INC # H7: 6 + H9: 1,9 # E8: 3,4 => UNS
* INC # H7: 6 + H9: 1,9 # E8: 2,7,8 => UNS
* INC # H7: 6 + H9: 1,9 # H1: 3,4 => UNS
* INC # H7: 6 + H9: 1,9 # H2: 3,4 => UNS
* INC # H7: 6 + H9: 1,9 # H6: 4,5 => UNS
* INC # H7: 6 + H9: 1,9 # H6: 2,9 => UNS
* INC # H7: 6 + H9: 1,9 # F5: 4,5 => UNS
* INC # H7: 6 + H9: 1,9 # F5: 1,7 => UNS
* INC # H7: 6 + H9: 1,9 # H1: 4,5 => UNS
* INC # H7: 6 + H9: 1,9 # H1: 1,2,3 => UNS
* INC # H7: 6 + H9: 1,9 # I8: 3,4 => UNS
* INC # H7: 6 + H9: 1,9 # I8: 7,8 => UNS
* INC # H7: 6 + H9: 1,9 # E8: 3,4 => UNS
* INC # H7: 6 + H9: 1,9 # E8: 2,7,8 => UNS
* INC # H7: 6 + H9: 1,9 # H1: 3,4 => UNS
* INC # H7: 6 + H9: 1,9 # H2: 3,4 => UNS
* INC # H7: 6 + H9: 1,9 # G9: 1,9 => UNS
* INC # H7: 6 + H9: 1,9 # G9: 4,7,8 => UNS
* INC # H7: 6 + H9: 1,9 # H2: 1,9 => UNS
* INC # H7: 6 + H9: 1,9 # H2: 2,3,4 => UNS
* INC # H7: 6 + H9: 1,9 => UNS
* INC # H8: 6 # H6: 4,5 => UNS
* INC # H8: 6 # H6: 2,9 => UNS
* INC # H8: 6 # F5: 4,5 => UNS
* INC # H8: 6 # F5: 1,7 => UNS
* INC # H8: 6 # H1: 4,5 => UNS
* INC # H8: 6 # H1: 1,2,3 => UNS
* INC # H8: 6 # H9: 1,3 => UNS
* INC # H8: 6 # H9: 4,9 => UNS
* INC # H8: 6 # A7: 1,3 => UNS
* INC # H8: 6 # A7: 2,5,6,8 => UNS
* INC # H8: 6 # H1: 1,3 => UNS
* INC # H8: 6 # H2: 1,3 => UNS
* INC # H8: 6 => UNS
* CNT  44 HDP CHAINS /  44 HYP OPENED

A5. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for F2,F6: 6..:

* INC # F2: 6 # C1: 1,2 => UNS
* INC # F2: 6 # B2: 1,2 => UNS
* INC # F2: 6 # A3: 1,2 => UNS
* INC # F2: 6 # B3: 1,2 => UNS
* INC # F2: 6 # G2: 1,2 => UNS
* INC # F2: 6 # H2: 1,2 => UNS
* INC # F2: 6 # C4: 1,2 => UNS
* INC # F2: 6 # C7: 1,2 => UNS
* INC # F2: 6 # D2: 3,9 => UNS
* INC # F2: 6 # E3: 3,9 => UNS
* INC # F2: 6 # I3: 3,9 => UNS
* INC # F2: 6 # I3: 5 => UNS
* INC # F2: 6 # H6: 4,5 => UNS
* INC # F2: 6 # H6: 2,9 => UNS
* INC # F2: 6 # F5: 4,5 => UNS
* INC # F2: 6 # F5: 1,7 => UNS
* INC # F2: 6 # H1: 4,5 => UNS
* INC # F2: 6 # H1: 1,2,3 => UNS
* PRF # F2: 6 # C1: 1,2 # E1: 1,2 => SOL
* STA # F2: 6 # C1: 1,2 + E1: 1,2
* CNT  19 HDP CHAINS /  21 HYP OPENED