Analysis of zz-www.sudokuwiki.org-0208-base.sdk

Contents

Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=208

level: very deep

Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=208

position: .1..4.6..9......2...2..5...5..9....8.7..3.4....8.......4.1....7.....31......7..46 initial

Autosolve

position: .1..4.6..9......2...2..5...5..9....8.7..3.4....8.......4.1....7...4.31......7..46 autosolve
Autosolve

Pair Reduction Variants

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

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:01:06.188206

List of important HDP chains detected for F1,E3: 9..:

* DIS # F1: 9 # H1: 3,5 # B2: 3,6 => CTR => B2: 5
* DIS # F1: 9 # H1: 3,5 + B2: 5 # A3: 3,6 => CTR => A3: 4
* DIS # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 # D3: 7,8 => CTR => D3: 3,6
* DIS # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 # H7: 3,5 => CTR => H7: 8,9
* DIS # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 # D5: 6 => CTR => D5: 5,8
* PRF # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 + D5: 5,8 # F7: 2,8 => SOL
* STA # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 + D5: 5,8 + F7: 2,8
* CNT   6 HDP CHAINS /  43 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

.1..4.6..9......2...2..5...5..9....8.7..3.4....8.......4.1....7.....31......7..46 initial
.1..4.6..9......2...2..5...5..9....8.7..3.4....8.......4.1....7...4.31......7..46 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A9,C9: 1.. / A9 = 1  =>  1 pairs (_) / C9 = 1  =>  1 pairs (_)
D1,F1: 2.. / D1 = 2  =>  1 pairs (_) / F1 = 2  =>  1 pairs (_)
C2,A3: 4.. / C2 = 4  =>  0 pairs (_) / A3 = 4  =>  0 pairs (_)
I2,I3: 4.. / I2 = 4  =>  0 pairs (_) / I3 = 4  =>  0 pairs (_)
C4,A6: 4.. / C4 = 4  =>  0 pairs (_) / A6 = 4  =>  0 pairs (_)
F4,F6: 4.. / F4 = 4  =>  0 pairs (_) / F6 = 4  =>  0 pairs (_)
C2,I2: 4.. / C2 = 4  =>  0 pairs (_) / I2 = 4  =>  0 pairs (_)
A3,I3: 4.. / A3 = 4  =>  0 pairs (_) / I3 = 4  =>  0 pairs (_)
C4,F4: 4.. / C4 = 4  =>  0 pairs (_) / F4 = 4  =>  0 pairs (_)
A6,F6: 4.. / A6 = 4  =>  0 pairs (_) / F6 = 4  =>  0 pairs (_)
A3,A6: 4.. / A3 = 4  =>  0 pairs (_) / A6 = 4  =>  0 pairs (_)
C2,C4: 4.. / C2 = 4  =>  0 pairs (_) / C4 = 4  =>  0 pairs (_)
A8,C8: 7.. / A8 = 7  =>  1 pairs (_) / C8 = 7  =>  1 pairs (_)
D5,F5: 8.. / D5 = 8  =>  1 pairs (_) / F5 = 8  =>  1 pairs (_)
F1,E3: 9.. / F1 = 9  =>  3 pairs (_) / E3 = 9  =>  0 pairs (_)
C5,B6: 9.. / C5 = 9  =>  0 pairs (_) / B6 = 9  =>  1 pairs (_)
* DURATION: 0:00:14.173081  START: 06:28:16.244369  END: 06:28:30.417450 2017-04-28
* CP COUNT: (16)

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F1,E3: 9.. / F1 = 9 ==>  3 pairs (_) / E3 = 9 ==>  0 pairs (_)
D5,F5: 8.. / D5 = 8 ==>  1 pairs (_) / F5 = 8 ==>  1 pairs (_)
A8,C8: 7.. / A8 = 7 ==>  1 pairs (_) / C8 = 7 ==>  1 pairs (_)
D1,F1: 2.. / D1 = 2 ==>  1 pairs (_) / F1 = 2 ==>  1 pairs (_)
A9,C9: 1.. / A9 = 1 ==>  1 pairs (_) / C9 = 1 ==>  1 pairs (_)
C5,B6: 9.. / C5 = 9 ==>  0 pairs (_) / B6 = 9 ==>  1 pairs (_)
C2,C4: 4.. / C2 = 4 ==>  0 pairs (_) / C4 = 4 ==>  0 pairs (_)
A3,A6: 4.. / A3 = 4 ==>  0 pairs (_) / A6 = 4 ==>  0 pairs (_)
A6,F6: 4.. / A6 = 4 ==>  0 pairs (_) / F6 = 4 ==>  0 pairs (_)
C4,F4: 4.. / C4 = 4 ==>  0 pairs (_) / F4 = 4 ==>  0 pairs (_)
A3,I3: 4.. / A3 = 4 ==>  0 pairs (_) / I3 = 4 ==>  0 pairs (_)
C2,I2: 4.. / C2 = 4 ==>  0 pairs (_) / I2 = 4 ==>  0 pairs (_)
F4,F6: 4.. / F4 = 4 ==>  0 pairs (_) / F6 = 4 ==>  0 pairs (_)
C4,A6: 4.. / C4 = 4 ==>  0 pairs (_) / A6 = 4 ==>  0 pairs (_)
I2,I3: 4.. / I2 = 4 ==>  0 pairs (_) / I3 = 4 ==>  0 pairs (_)
C2,A3: 4.. / C2 = 4 ==>  0 pairs (_) / A3 = 4 ==>  0 pairs (_)
* DURATION: 0:01:13.092106  START: 06:28:30.417806  END: 06:29:43.509912 2017-04-28
* DCP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
F1,E3: 9.. / F1 = 9 ==>  0 pairs (*) / E3 = 9  =>  0 pairs (X)
* DURATION: 0:01:06.186734  START: 06:29:43.633896  END: 06:30:49.820630 2017-04-28
* REASONING F1,E3: 9..
* DIS # F1: 9 # H1: 3,5 # B2: 3,6 => CTR => B2: 5
* DIS # F1: 9 # H1: 3,5 + B2: 5 # A3: 3,6 => CTR => A3: 4
* DIS # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 # D3: 7,8 => CTR => D3: 3,6
* DIS # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 # H7: 3,5 => CTR => H7: 8,9
* DIS # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 # D5: 6 => CTR => D5: 5,8
* PRF # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 + D5: 5,8 # F7: 2,8 => SOL
* STA # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 + D5: 5,8 + F7: 2,8
* CNT   6 HDP CHAINS /  43 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=208

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F1,E3: 9..:

* INC # F1: 9 # H1: 3,5 => UNS
* INC # F1: 9 # G2: 3,5 => UNS
* INC # F1: 9 # I2: 3,5 => UNS
* INC # F1: 9 # C1: 3,5 => UNS
* INC # F1: 9 # C1: 7 => UNS
* INC # F1: 9 # I6: 3,5 => UNS
* INC # F1: 9 # I6: 1,2,9 => UNS
* INC # F1: 9 # E7: 5,8 => UNS
* INC # F1: 9 # E8: 5,8 => UNS
* INC # F1: 9 # B9: 5,8 => UNS
* INC # F1: 9 # G9: 5,8 => UNS
* INC # F1: 9 # D5: 5,8 => UNS
* INC # F1: 9 # D5: 6 => UNS
* INC # F1: 9 # E7: 2,8 => UNS
* INC # F1: 9 # F7: 2,8 => UNS
* INC # F1: 9 # E8: 2,8 => UNS
* INC # F1: 9 # A9: 2,8 => UNS
* INC # F1: 9 # B9: 2,8 => UNS
* INC # F1: 9 # G9: 2,8 => UNS
* INC # F1: 9 # F5: 2,8 => UNS
* INC # F1: 9 # F5: 1,6 => UNS
* INC # F1: 9 => UNS
* INC # E3: 9 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for D5,F5: 8..:

* INC # D5: 8 # E7: 2,5 => UNS
* INC # D5: 8 # E8: 2,5 => UNS
* INC # D5: 8 # B9: 2,5 => UNS
* INC # D5: 8 # G9: 2,5 => UNS
* INC # D5: 8 # D6: 2,5 => UNS
* INC # D5: 8 # D6: 6,7 => UNS
* INC # D5: 8 => UNS
* INC # F5: 8 # E7: 2,9 => UNS
* INC # F5: 8 # F7: 2,9 => UNS
* INC # F5: 8 # E8: 2,9 => UNS
* INC # F5: 8 # B9: 2,9 => UNS
* INC # F5: 8 # G9: 2,9 => UNS
* INC # F5: 8 # F1: 2,9 => UNS
* INC # F5: 8 # F1: 7 => UNS
* INC # F5: 8 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for A8,C8: 7..:

* INC # A8: 7 # B2: 3,8 => UNS
* INC # A8: 7 # A3: 3,8 => UNS
* INC # A8: 7 # B3: 3,8 => UNS
* INC # A8: 7 # D1: 3,8 => UNS
* INC # A8: 7 # H1: 3,8 => UNS
* INC # A8: 7 # A7: 3,8 => UNS
* INC # A8: 7 # A9: 3,8 => UNS
* INC # A8: 7 => UNS
* INC # C8: 7 # B2: 3,5 => UNS
* INC # C8: 7 # C2: 3,5 => UNS
* INC # C8: 7 # H1: 3,5 => UNS
* INC # C8: 7 # I1: 3,5 => UNS
* INC # C8: 7 # C7: 3,5 => UNS
* INC # C8: 7 # C9: 3,5 => UNS
* INC # C8: 7 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for D1,F1: 2..:

* INC # D1: 2 # E7: 5,8 => UNS
* INC # D1: 2 # E8: 5,8 => UNS
* INC # D1: 2 # B9: 5,8 => UNS
* INC # D1: 2 # G9: 5,8 => UNS
* INC # D1: 2 # D5: 5,8 => UNS
* INC # D1: 2 # D5: 6 => UNS
* INC # D1: 2 => UNS
* INC # F1: 2 # F7: 8,9 => UNS
* INC # F1: 2 # F7: 6 => UNS
* INC # F1: 2 # B9: 8,9 => UNS
* INC # F1: 2 # G9: 8,9 => UNS
* INC # F1: 2 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for A9,C9: 1..:

* INC # A9: 1 # B4: 2,6 => UNS
* INC # A9: 1 # A6: 2,6 => UNS
* INC # A9: 1 # B6: 2,6 => UNS
* INC # A9: 1 # D5: 2,6 => UNS
* INC # A9: 1 # F5: 2,6 => UNS
* INC # A9: 1 # A7: 2,6 => UNS
* INC # A9: 1 # A8: 2,6 => UNS
* INC # A9: 1 => UNS
* INC # C9: 1 # B6: 6,9 => UNS
* INC # C9: 1 # B6: 2,3 => UNS
* INC # C9: 1 # H5: 6,9 => UNS
* INC # C9: 1 # H5: 1,5 => UNS
* INC # C9: 1 # C7: 6,9 => UNS
* INC # C9: 1 # C8: 6,9 => UNS
* INC # C9: 1 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for C5,B6: 9..:

* INC # B6: 9 # C4: 1,6 => UNS
* INC # B6: 9 # A5: 1,6 => UNS
* INC # B6: 9 # A6: 1,6 => UNS
* INC # B6: 9 # F5: 1,6 => UNS
* INC # B6: 9 # H5: 1,6 => UNS
* INC # B6: 9 => UNS
* INC # C5: 9 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

Full list of HDP chains traversed for C2,C4: 4..:

* INC # C2: 4 => UNS
* INC # C4: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A3,A6: 4..:

* INC # A3: 4 => UNS
* INC # A6: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A6,F6: 4..:

* INC # A6: 4 => UNS
* INC # F6: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C4,F4: 4..:

* INC # C4: 4 => UNS
* INC # F4: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A3,I3: 4..:

* INC # A3: 4 => UNS
* INC # I3: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C2,I2: 4..:

* INC # C2: 4 => UNS
* INC # I2: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F4,F6: 4..:

* INC # F4: 4 => UNS
* INC # F6: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C4,A6: 4..:

* INC # C4: 4 => UNS
* INC # A6: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for I2,I3: 4..:

* INC # I2: 4 => UNS
* INC # I3: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C2,A3: 4..:

* INC # C2: 4 => UNS
* INC # A3: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for F1,E3: 9..:

* INC # F1: 9 # H1: 3,5 => UNS
* INC # F1: 9 # G2: 3,5 => UNS
* INC # F1: 9 # I2: 3,5 => UNS
* INC # F1: 9 # C1: 3,5 => UNS
* INC # F1: 9 # C1: 7 => UNS
* INC # F1: 9 # I6: 3,5 => UNS
* INC # F1: 9 # I6: 1,2,9 => UNS
* INC # F1: 9 # E7: 5,8 => UNS
* INC # F1: 9 # E8: 5,8 => UNS
* INC # F1: 9 # B9: 5,8 => UNS
* INC # F1: 9 # G9: 5,8 => UNS
* INC # F1: 9 # D5: 5,8 => UNS
* INC # F1: 9 # D5: 6 => UNS
* INC # F1: 9 # E7: 2,8 => UNS
* INC # F1: 9 # F7: 2,8 => UNS
* INC # F1: 9 # E8: 2,8 => UNS
* INC # F1: 9 # A9: 2,8 => UNS
* INC # F1: 9 # B9: 2,8 => UNS
* INC # F1: 9 # G9: 2,8 => UNS
* INC # F1: 9 # F5: 2,8 => UNS
* INC # F1: 9 # F5: 1,6 => UNS
* DIS # F1: 9 # H1: 3,5 # B2: 3,6 => CTR => B2: 5
* INC # F1: 9 # H1: 3,5 + B2: 5 # C2: 3,6 => UNS
* DIS # F1: 9 # H1: 3,5 + B2: 5 # A3: 3,6 => CTR => A3: 4
* INC # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 # D3: 3,6 => UNS
* DIS # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 # D3: 7,8 => CTR => D3: 3,6
* INC # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 # B4: 3,6 => UNS
* INC # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 # B6: 3,6 => UNS
* INC # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 # B4: 3,6 => UNS
* INC # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 # B6: 3,6 => UNS
* INC # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 # H6: 3,5 => UNS
* DIS # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 # H7: 3,5 => CTR => H7: 8,9
* INC # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 # H6: 3,5 => UNS
* INC # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 # H6: 1,6,7,9 => UNS
* INC # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 # H6: 3,5 => UNS
* INC # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 # H6: 1,6,7,9 => UNS
* INC # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 # I6: 3,5 => UNS
* INC # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 # I6: 1,2,9 => UNS
* INC # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 # D5: 5,8 => UNS
* DIS # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 # D5: 6 => CTR => D5: 5,8
* PRF # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 + D5: 5,8 # F7: 2,8 => SOL
* STA # F1: 9 # H1: 3,5 + B2: 5 + A3: 4 + D3: 3,6 + H7: 8,9 + D5: 5,8 + F7: 2,8
* CNT  41 HDP CHAINS /  43 HYP OPENED