Analysis of zz-www.sudokuwiki.org-0344-base.sdk

Contents

Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=344

level: deep

Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=344

position: .....9..1.....1.2....34.5......6......7..8...36.4..9....2....7..5..9.6..64..3.... initial

Autosolve

position: .....9..1.....1.2....34.5......63.....7..8...36.4..9....2....7.75..9.6..64..3.... 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: 0:00:13.209169

The following important HDP chains were detected:

* DIS # I8: 2,4 # D9: 1,8 => CTR => D9: 2,5,7
* CNT   1 HDP CHAINS /  32 HYP OPENED

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000016

List of important HDP chains detected for F7,F8: 4..:

* DIS # F7: 4 # I2: 8,9 => CTR => I2: 3,4,6,7
* DIS # F7: 4 + I2: 3,4,6,7 # E6: 5,7 => CTR => E6: 1,2
* PRF # F7: 4 + I2: 3,4,6,7 + E6: 1,2 # D4: 1,2,9 => SOL
* STA # F7: 4 + I2: 3,4,6,7 + E6: 1,2 + D4: 1,2,9
* CNT   3 HDP CHAINS /  11 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

.....9..1.....1.2....34.5......6......7..8...36.4..9....2....7..5..9.6..64..3.... initial
.....9..1.....1.2....34.5......63.....7..8...36.4..9....2....7.75..9.6..64..3.... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
F8: 2,4

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B7,C8: 3.. / B7 = 3  =>  2 pairs (_) / C8 = 3  =>  1 pairs (_)
F7,F8: 4.. / F7 = 4  =>  4 pairs (_) / F8 = 4  =>  1 pairs (_)
H5,I5: 6.. / H5 = 6  =>  2 pairs (_) / I5 = 6  =>  1 pairs (_)
D7,F7: 6.. / D7 = 6  =>  3 pairs (_) / F7 = 6  =>  1 pairs (_)
F3,F7: 6.. / F3 = 6  =>  3 pairs (_) / F7 = 6  =>  1 pairs (_)
D9,F9: 7.. / D9 = 7  =>  2 pairs (_) / F9 = 7  =>  3 pairs (_)
D4,D5: 9.. / D4 = 9  =>  1 pairs (_) / D5 = 9  =>  2 pairs (_)
H3,H9: 9.. / H3 = 9  =>  1 pairs (_) / H9 = 9  =>  3 pairs (_)
* DURATION: 0:00:04.995097  START: 19:08:45.108394  END: 19:08:50.103491 2019-04-28
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F7,F8: 4.. / F7 = 4 ==>  0 pairs (*) / F8 = 4  =>  0 pairs (X)
* DURATION: 0:00:11.925116  START: 19:09:05.144991  END: 19:09:17.070107 2019-04-28
* REASONING F7,F8: 4..
* DIS # F7: 4 # I2: 8,9 => CTR => I2: 3,4,6,7
* DIS # F7: 4 + I2: 3,4,6,7 # E6: 5,7 => CTR => E6: 1,2
* PRF # F7: 4 + I2: 3,4,6,7 + E6: 1,2 # D4: 1,2,9 => SOL
* STA # F7: 4 + I2: 3,4,6,7 + E6: 1,2 + D4: 1,2,9
* CNT   3 HDP CHAINS /  11 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=344

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # I8: 2,4 => UNS
* INC # I8: 3,8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # I8: 2,4 => UNS
* INC # I8: 3,8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # I8: 2,4 => UNS
* INC # I8: 3,8 => UNS
* INC # I8: 2,4 # D7: 1,8 => UNS
* INC # I8: 2,4 # E7: 1,8 => UNS
* DIS # I8: 2,4 # D9: 1,8 => CTR => D9: 2,5,7
* INC # I8: 2,4 + D9: 2,5,7 # C8: 1,8 => UNS
* INC # I8: 2,4 + D9: 2,5,7 # H8: 1,8 => UNS
* INC # I8: 2,4 + D9: 2,5,7 # D7: 1,8 => UNS
* INC # I8: 2,4 + D9: 2,5,7 # E7: 1,8 => UNS
* INC # I8: 2,4 + D9: 2,5,7 # C8: 1,8 => UNS
* INC # I8: 2,4 + D9: 2,5,7 # H8: 1,8 => UNS
* INC # I8: 2,4 + D9: 2,5,7 # I4: 2,4 => UNS
* INC # I8: 2,4 + D9: 2,5,7 # I5: 2,4 => UNS
* INC # I8: 2,4 + D9: 2,5,7 # D7: 1,8 => UNS
* INC # I8: 2,4 + D9: 2,5,7 # E7: 1,8 => UNS
* INC # I8: 2,4 + D9: 2,5,7 # C8: 1,8 => UNS
* INC # I8: 2,4 + D9: 2,5,7 # H8: 1,8 => UNS
* INC # I8: 2,4 + D9: 2,5,7 # I4: 2,4 => UNS
* INC # I8: 2,4 + D9: 2,5,7 # I5: 2,4 => UNS
* INC # I8: 2,4 + D9: 2,5,7 => UNS
* INC # I8: 3,8 # D9: 5,7 => UNS
* INC # I8: 3,8 # D9: 1,8 => UNS
* INC # I8: 3,8 # F6: 5,7 => UNS
* INC # I8: 3,8 # F6: 2 => UNS
* INC # I8: 3,8 # G7: 3,8 => UNS
* INC # I8: 3,8 # I7: 3,8 => UNS
* INC # I8: 3,8 # H8: 3,8 => UNS
* INC # I8: 3,8 # C8: 3,8 => UNS
* INC # I8: 3,8 # C8: 1 => UNS
* INC # I8: 3,8 # I2: 3,8 => UNS
* INC # I8: 3,8 # I2: 4,6,7,9 => UNS
* INC # I8: 3,8 => UNS
* CNT  32 HDP CHAINS /  32 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F7,F8: 4..:

* DIS # F7: 4 # I2: 8,9 => CTR => I2: 3,4,6,7
* INC # F7: 4 + I2: 3,4,6,7 # I3: 8,9 => UNS
* INC # F7: 4 + I2: 3,4,6,7 # I3: 8,9 => UNS
* INC # F7: 4 + I2: 3,4,6,7 # I3: 7 => UNS
* INC # F7: 4 + I2: 3,4,6,7 # H9: 8,9 => UNS
* INC # F7: 4 + I2: 3,4,6,7 # H9: 1,5 => UNS
* INC # F7: 4 + I2: 3,4,6,7 # D4: 5,7 => UNS
* DIS # F7: 4 + I2: 3,4,6,7 # E6: 5,7 => CTR => E6: 1,2
* INC # F7: 4 + I2: 3,4,6,7 + E6: 1,2 # D4: 5,7 => UNS
* PRF # F7: 4 + I2: 3,4,6,7 + E6: 1,2 # D4: 1,2,9 => SOL
* STA # F7: 4 + I2: 3,4,6,7 + E6: 1,2 + D4: 1,2,9
* CNT  10 HDP CHAINS /  11 HYP OPENED