Analysis of xx-ph-00000031-4-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: .....6..94...8.2.....7...1.2.9...8....4.3.9...6.....5.3.8.4.......5......7...1... initial

Autosolve

position: .....6..94...8.2.....7...1.2.9...8....4.3.9...6.....5.3.8.4.....4.5......7...1... 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: 0:00:18.974076

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000012

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:01:11.493611

List of important HDP chains detected for F7,E8: 7..:

* DIS # E8: 7 # D7: 2,9 # G7: 1,5 => CTR => G7: 6,7
* DIS # E8: 7 # D7: 2,9 + G7: 6,7 # B1: 1,5 => CTR => B1: 2,3,8
* PRF # E8: 7 # D7: 2,9 + G7: 6,7 + B1: 2,3,8 # B2: 1,5 => SOL
* STA # E8: 7 # D7: 2,9 + G7: 6,7 + B1: 2,3,8 + B2: 1,5
* CNT   3 HDP CHAINS /  90 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

.....6..94...8.2.....7...1.2.9...8....4.3.9...6.....5.3.8.4.......5......7...1... initial
.....6..94...8.2.....7...1.2.9...8....4.3.9...6.....5.3.8.4.....4.5......7...1... autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
F8: 3,8
D9: 3,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B4,C6: 3.. / B4 = 3  =>  3 pairs (_) / C6 = 3  =>  3 pairs (_)
F8,D9: 3.. / F8 = 3  =>  1 pairs (_) / D9 = 3  =>  1 pairs (_)
D1,F3: 4.. / D1 = 4  =>  3 pairs (_) / F3 = 4  =>  3 pairs (_)
F7,E8: 7.. / F7 = 7  =>  3 pairs (_) / E8 = 7  =>  3 pairs (_)
H1,I3: 8.. / H1 = 8  =>  2 pairs (_) / I3 = 8  =>  2 pairs (_)
F8,D9: 8.. / F8 = 8  =>  1 pairs (_) / D9 = 8  =>  1 pairs (_)
* DURATION: 0:00:05.402344  START: 05:07:46.109729  END: 05:07:51.512073 2017-04-29
* CP COUNT: (6)

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F7,E8: 7.. / F7 = 7 ==>  3 pairs (_) / E8 = 7 ==>  3 pairs (_)
D1,F3: 4.. / D1 = 4 ==>  3 pairs (_) / F3 = 4 ==>  3 pairs (_)
B4,C6: 3.. / B4 = 3 ==>  3 pairs (_) / C6 = 3 ==>  3 pairs (_)
H1,I3: 8.. / H1 = 8 ==>  2 pairs (_) / I3 = 8 ==>  2 pairs (_)
F8,D9: 8.. / F8 = 8 ==>  1 pairs (_) / D9 = 8 ==>  1 pairs (_)
F8,D9: 3.. / F8 = 3 ==>  1 pairs (_) / D9 = 3 ==>  1 pairs (_)
* DURATION: 0:00:56.645563  START: 05:08:10.500275  END: 05:09:07.145838 2017-04-29
* DCP COUNT: (6)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
F7,E8: 7.. / F7 = 7 ==>  3 pairs (_) / E8 = 7 ==>  0 pairs (*)
* DURATION: 0:01:11.491182  START: 05:09:07.186920  END: 05:10:18.678102 2017-04-29
* REASONING F7,E8: 7..
* DIS # E8: 7 # D7: 2,9 # G7: 1,5 => CTR => G7: 6,7
* DIS # E8: 7 # D7: 2,9 + G7: 6,7 # B1: 1,5 => CTR => B1: 2,3,8
* PRF # E8: 7 # D7: 2,9 + G7: 6,7 + B1: 2,3,8 # B2: 1,5 => SOL
* STA # E8: 7 # D7: 2,9 + G7: 6,7 + B1: 2,3,8 + B2: 1,5
* CNT   3 HDP CHAINS /  90 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

31;4;elev;21;11.80;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # H8: 3,8 => UNS
* INC # I8: 3,8 => UNS
* INC # H9: 3,8 => UNS
* INC # I9: 3,8 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # H8: 3,8 => UNS
* INC # I8: 3,8 => UNS
* INC # H9: 3,8 => UNS
* INC # I9: 3,8 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # H8: 3,8 => UNS
* INC # I8: 3,8 => UNS
* INC # H9: 3,8 => UNS
* INC # I9: 3,8 => UNS
* INC # H8: 3,8 # H9: 3,8 => UNS
* INC # H8: 3,8 # I9: 3,8 => UNS
* INC # H8: 3,8 # H9: 3,8 => UNS
* INC # H8: 3,8 # I9: 3,8 => UNS
* INC # H8: 3,8 # H1: 3,8 => UNS
* INC # H8: 3,8 # H1: 4,7 => UNS
* INC # H8: 3,8 => UNS
* INC # I8: 3,8 # H9: 3,8 => UNS
* INC # I8: 3,8 # I9: 3,8 => UNS
* INC # I8: 3,8 # H9: 3,8 => UNS
* INC # I8: 3,8 # I9: 3,8 => UNS
* INC # I8: 3,8 # I3: 3,8 => UNS
* INC # I8: 3,8 # I3: 4,5,6 => UNS
* INC # I8: 3,8 => UNS
* INC # H9: 3,8 # H8: 3,8 => UNS
* INC # H9: 3,8 # I8: 3,8 => UNS
* INC # H9: 3,8 # H8: 3,8 => UNS
* INC # H9: 3,8 # I8: 3,8 => UNS
* INC # H9: 3,8 # H1: 3,8 => UNS
* INC # H9: 3,8 # H1: 4,7 => UNS
* INC # H9: 3,8 => UNS
* INC # I9: 3,8 # H8: 3,8 => UNS
* INC # I9: 3,8 # I8: 3,8 => UNS
* INC # I9: 3,8 # H8: 3,8 => UNS
* INC # I9: 3,8 # I8: 3,8 => UNS
* INC # I9: 3,8 # I3: 3,8 => UNS
* INC # I9: 3,8 # I3: 4,5,6 => UNS
* INC # I9: 3,8 => UNS
* CNT  32 HDP CHAINS /  32 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F7,E8: 7..:

* INC # F7: 7 # F3: 4,5 => UNS
* INC # F7: 7 # F3: 2,3,9 => UNS
* INC # F7: 7 # H8: 3,8 => UNS
* INC # F7: 7 # I8: 3,8 => UNS
* INC # F7: 7 # H9: 3,8 => UNS
* INC # F7: 7 # I9: 3,8 => UNS
* INC # F7: 7 => UNS
* INC # E8: 7 # D7: 2,9 => UNS
* INC # E8: 7 # E9: 2,9 => UNS
* INC # E8: 7 # B7: 2,9 => UNS
* INC # E8: 7 # H7: 2,9 => UNS
* INC # E8: 7 # F3: 2,9 => UNS
* INC # E8: 7 # F6: 2,9 => UNS
* INC # E8: 7 # H8: 3,8 => UNS
* INC # E8: 7 # I8: 3,8 => UNS
* INC # E8: 7 # H9: 3,8 => UNS
* INC # E8: 7 # I9: 3,8 => UNS
* INC # E8: 7 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for D1,F3: 4..:

* INC # D1: 4 # E4: 1,6 => UNS
* INC # D1: 4 # D5: 1,6 => UNS
* INC # D1: 4 # I4: 1,6 => UNS
* INC # D1: 4 # I4: 3,4,7 => UNS
* INC # D1: 4 # H8: 3,8 => UNS
* INC # D1: 4 # I8: 3,8 => UNS
* INC # D1: 4 # H9: 3,8 => UNS
* INC # D1: 4 # I9: 3,8 => UNS
* INC # D1: 4 => UNS
* INC # F3: 4 # E4: 5,7 => UNS
* INC # F3: 4 # F5: 5,7 => UNS
* INC # F3: 4 # H8: 3,8 => UNS
* INC # F3: 4 # I8: 3,8 => UNS
* INC # F3: 4 # H9: 3,8 => UNS
* INC # F3: 4 # I9: 3,8 => UNS
* INC # F3: 4 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for B4,C6: 3..:

* INC # B4: 3 # A5: 1,7 => UNS
* INC # B4: 3 # A6: 1,7 => UNS
* INC # B4: 3 # E6: 1,7 => UNS
* INC # B4: 3 # G6: 1,7 => UNS
* INC # B4: 3 # I6: 1,7 => UNS
* INC # B4: 3 # C1: 1,7 => UNS
* INC # B4: 3 # C2: 1,7 => UNS
* INC # B4: 3 # H8: 3,8 => UNS
* INC # B4: 3 # I8: 3,8 => UNS
* INC # B4: 3 # H9: 3,8 => UNS
* INC # B4: 3 # I9: 3,8 => UNS
* INC # B4: 3 => UNS
* INC # C6: 3 # A5: 1,5 => UNS
* INC # C6: 3 # B5: 1,5 => UNS
* INC # C6: 3 # E4: 1,5 => UNS
* INC # C6: 3 # E4: 6,7 => UNS
* INC # C6: 3 # B1: 1,5 => UNS
* INC # C6: 3 # B2: 1,5 => UNS
* INC # C6: 3 # B7: 1,5 => UNS
* INC # C6: 3 # H8: 3,8 => UNS
* INC # C6: 3 # I8: 3,8 => UNS
* INC # C6: 3 # H9: 3,8 => UNS
* INC # C6: 3 # I9: 3,8 => UNS
* INC # C6: 3 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for H1,I3: 8..:

* INC # H1: 8 # I8: 3,8 => UNS
* INC # H1: 8 # I8: 1,2,6,7 => UNS
* INC # H1: 8 # I9: 3,8 => UNS
* INC # H1: 8 # I9: 2,4,5,6 => UNS
* INC # H1: 8 => UNS
* INC # I3: 8 # H8: 3,8 => UNS
* INC # I3: 8 # H8: 2,6,7,9 => UNS
* INC # I3: 8 # H9: 3,8 => UNS
* INC # I3: 8 # H9: 2,4,6,9 => UNS
* INC # I3: 8 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for F8,D9: 8..:

* INC # F8: 8 # B2: 1,9 => UNS
* INC # F8: 8 # B2: 3,5 => UNS
* INC # F8: 8 # D6: 1,9 => UNS
* INC # F8: 8 # D6: 2,4,8 => UNS
* INC # F8: 8 => UNS
* INC # D9: 8 # E3: 5,9 => UNS
* INC # D9: 8 # F3: 5,9 => UNS
* INC # D9: 8 # B2: 5,9 => UNS
* INC # D9: 8 # B2: 1,3 => UNS
* INC # D9: 8 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for F8,D9: 3..:

* INC # F8: 3 # E3: 5,9 => UNS
* INC # F8: 3 # F3: 5,9 => UNS
* INC # F8: 3 # B2: 5,9 => UNS
* INC # F8: 3 # B2: 1,3 => UNS
* INC # F8: 3 => UNS
* INC # D9: 3 # B2: 1,9 => UNS
* INC # D9: 3 # B2: 3,5 => UNS
* INC # D9: 3 # D6: 1,9 => UNS
* INC # D9: 3 # D6: 2,4,8 => UNS
* INC # D9: 3 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

A5. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for F7,E8: 7..:

* INC # F7: 7 # F3: 4,5 => UNS
* INC # F7: 7 # F3: 2,3,9 => UNS
* INC # F7: 7 # H8: 3,8 => UNS
* INC # F7: 7 # I8: 3,8 => UNS
* INC # F7: 7 # H9: 3,8 => UNS
* INC # F7: 7 # I9: 3,8 => UNS
* INC # F7: 7 # F3: 4,5 # D2: 3,9 => UNS
* INC # F7: 7 # F3: 4,5 # D2: 1 => UNS
* INC # F7: 7 # F3: 4,5 # B2: 3,9 => UNS
* INC # F7: 7 # F3: 4,5 # B2: 1,5 => UNS
* INC # F7: 7 # F3: 4,5 # G3: 4,5 => UNS
* INC # F7: 7 # F3: 4,5 # I3: 4,5 => UNS
* INC # F7: 7 # F3: 4,5 # C6: 1,3 => UNS
* INC # F7: 7 # F3: 4,5 # C6: 7 => UNS
* INC # F7: 7 # F3: 4,5 # I4: 1,3 => UNS
* INC # F7: 7 # F3: 4,5 # I4: 4,6,7 => UNS
* INC # F7: 7 # F3: 4,5 # B1: 1,3 => UNS
* INC # F7: 7 # F3: 4,5 # B2: 1,3 => UNS
* INC # F7: 7 # F3: 4,5 # F6: 2,8 => UNS
* INC # F7: 7 # F3: 4,5 # F6: 9 => UNS
* INC # F7: 7 # F3: 4,5 # H8: 3,8 => UNS
* INC # F7: 7 # F3: 4,5 # I8: 3,8 => UNS
* INC # F7: 7 # F3: 4,5 # H9: 3,8 => UNS
* INC # F7: 7 # F3: 4,5 # I9: 3,8 => UNS
* INC # F7: 7 # F3: 4,5 => UNS
* INC # F7: 7 # F3: 2,3,9 # E4: 1,6 => UNS
* INC # F7: 7 # F3: 2,3,9 # D5: 1,6 => UNS
* INC # F7: 7 # F3: 2,3,9 # I4: 1,6 => UNS
* INC # F7: 7 # F3: 2,3,9 # I4: 3,4,7 => UNS
* INC # F7: 7 # F3: 2,3,9 # H8: 3,8 => UNS
* INC # F7: 7 # F3: 2,3,9 # I8: 3,8 => UNS
* INC # F7: 7 # F3: 2,3,9 # H9: 3,8 => UNS
* INC # F7: 7 # F3: 2,3,9 # I9: 3,8 => UNS
* INC # F7: 7 # F3: 2,3,9 => UNS
* INC # F7: 7 # H8: 3,8 # F3: 4,5 => UNS
* INC # F7: 7 # H8: 3,8 # F3: 2,3,9 => UNS
* INC # F7: 7 # H8: 3,8 # H9: 3,8 => UNS
* INC # F7: 7 # H8: 3,8 # I9: 3,8 => UNS
* INC # F7: 7 # H8: 3,8 # H9: 3,8 => UNS
* INC # F7: 7 # H8: 3,8 # I9: 3,8 => UNS
* INC # F7: 7 # H8: 3,8 # H1: 3,8 => UNS
* INC # F7: 7 # H8: 3,8 # H1: 4,7 => UNS
* INC # F7: 7 # H8: 3,8 => UNS
* INC # F7: 7 # I8: 3,8 # F3: 4,5 => UNS
* INC # F7: 7 # I8: 3,8 # F3: 2,3,9 => UNS
* INC # F7: 7 # I8: 3,8 # H9: 3,8 => UNS
* INC # F7: 7 # I8: 3,8 # I9: 3,8 => UNS
* INC # F7: 7 # I8: 3,8 # H9: 3,8 => UNS
* INC # F7: 7 # I8: 3,8 # I9: 3,8 => UNS
* INC # F7: 7 # I8: 3,8 # I3: 3,8 => UNS
* INC # F7: 7 # I8: 3,8 # I3: 4,5,6 => UNS
* INC # F7: 7 # I8: 3,8 => UNS
* INC # F7: 7 # H9: 3,8 # F3: 4,5 => UNS
* INC # F7: 7 # H9: 3,8 # F3: 2,3,9 => UNS
* INC # F7: 7 # H9: 3,8 # H8: 3,8 => UNS
* INC # F7: 7 # H9: 3,8 # I8: 3,8 => UNS
* INC # F7: 7 # H9: 3,8 # H8: 3,8 => UNS
* INC # F7: 7 # H9: 3,8 # I8: 3,8 => UNS
* INC # F7: 7 # H9: 3,8 # H1: 3,8 => UNS
* INC # F7: 7 # H9: 3,8 # H1: 4,7 => UNS
* INC # F7: 7 # H9: 3,8 => UNS
* INC # F7: 7 # I9: 3,8 # F3: 4,5 => UNS
* INC # F7: 7 # I9: 3,8 # F3: 2,3,9 => UNS
* INC # F7: 7 # I9: 3,8 # H8: 3,8 => UNS
* INC # F7: 7 # I9: 3,8 # I8: 3,8 => UNS
* INC # F7: 7 # I9: 3,8 # H8: 3,8 => UNS
* INC # F7: 7 # I9: 3,8 # I8: 3,8 => UNS
* INC # F7: 7 # I9: 3,8 # I3: 3,8 => UNS
* INC # F7: 7 # I9: 3,8 # I3: 4,5,6 => UNS
* INC # F7: 7 # I9: 3,8 => UNS
* INC # F7: 7 => UNS
* INC # E8: 7 # D7: 2,9 => UNS
* INC # E8: 7 # E9: 2,9 => UNS
* INC # E8: 7 # B7: 2,9 => UNS
* INC # E8: 7 # H7: 2,9 => UNS
* INC # E8: 7 # F3: 2,9 => UNS
* INC # E8: 7 # F6: 2,9 => UNS
* INC # E8: 7 # H8: 3,8 => UNS
* INC # E8: 7 # I8: 3,8 => UNS
* INC # E8: 7 # H9: 3,8 => UNS
* INC # E8: 7 # I9: 3,8 => UNS
* INC # E8: 7 # D7: 2,9 # B4: 1,5 => UNS
* INC # E8: 7 # D7: 2,9 # B4: 3 => UNS
* INC # E8: 7 # D7: 2,9 # E1: 1,5 => UNS
* INC # E8: 7 # D7: 2,9 # E1: 2 => UNS
* DIS # E8: 7 # D7: 2,9 # G7: 1,5 => CTR => G7: 6,7
* DIS # E8: 7 # D7: 2,9 + G7: 6,7 # B1: 1,5 => CTR => B1: 2,3,8
* PRF # E8: 7 # D7: 2,9 + G7: 6,7 + B1: 2,3,8 # B2: 1,5 => SOL
* STA # E8: 7 # D7: 2,9 + G7: 6,7 + B1: 2,3,8 + B2: 1,5
* CNT  88 HDP CHAINS /  90 HYP OPENED