Analysis of zz-www.sudokuwiki.org-0318-base.sdk

Contents

Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=318

level: deep

Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=318

position: 98.76....7.....9...54......6..3..2...4.....5...8..1......69...3....3.7.......8.1. initial

Autosolve

position: 98.76....7.....9...54......6..3..2...4...6.5...8..1......69...3...13.7.......8.1. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for F3,F4: 9..:

* DIS # F4: 9 # H3: 2,3 => CTR => H3: 6,7,8
* DIS # F4: 9 + H3: 6,7,8 # C5: 1,7 => CTR => C5: 2,3,9
* DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 5 => CTR => C4: 1,7
* DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 # E5: 2,8 => CTR => E5: 7
* DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 # A7: 1,2 => CTR => A7: 4,8
* DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 + A7: 4,8 => CTR => F4: 4,5,7
* STA F4: 4,5,7
* CNT   6 HDP CHAINS /  18 HYP OPENED

List of important HDP chains detected for D3,F3: 9..:

* DIS # D3: 9 # H3: 2,3 => CTR => H3: 6,7,8
* DIS # D3: 9 + H3: 6,7,8 # C5: 1,7 => CTR => C5: 2,3,9
* DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 5 => CTR => C4: 1,7
* DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 # E5: 2,8 => CTR => E5: 7
* DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 # A7: 1,2 => CTR => A7: 4,8
* DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 + A7: 4,8 => CTR => D3: 2,8
* STA D3: 2,8
* CNT   6 HDP CHAINS /  18 HYP OPENED

List of important HDP chains detected for F4,F7: 7..:

* DIS # F4: 7 # H3: 2,8 => CTR => H3: 3,6,7
* DIS # F4: 7 + H3: 3,6,7 # I3: 2,8 => CTR => I3: 1,6,7
* PRF # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # C4: 1,9 => SOL
* STA # F4: 7 + H3: 3,6,7 + I3: 1,6,7 + C4: 1,9
* CNT   3 HDP CHAINS /  14 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

98.76....7.....9...54......6..3..2...4.....5...8..1......69...3....3.7.......8.1. initial
98.76....7.....9...54......6..3..2...4...6.5...8..1......69...3...13.7.......8.1. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E2,E3: 1.. / E2 = 1  =>  1 pairs (_) / E3 = 1  =>  1 pairs (_)
C4,A6: 5.. / C4 = 5  =>  2 pairs (_) / A6 = 5  =>  0 pairs (_)
B2,C2: 6.. / B2 = 6  =>  1 pairs (_) / C2 = 6  =>  0 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  0 pairs (_)
F7,E9: 7.. / F7 = 7  =>  1 pairs (_) / E9 = 7  =>  3 pairs (_)
F4,F7: 7.. / F4 = 7  =>  3 pairs (_) / F7 = 7  =>  1 pairs (_)
A7,A8: 8.. / A7 = 8  =>  2 pairs (_) / A8 = 8  =>  0 pairs (_)
D3,F3: 9.. / D3 = 9  =>  4 pairs (_) / F3 = 9  =>  1 pairs (_)
F3,F4: 9.. / F3 = 9  =>  1 pairs (_) / F4 = 9  =>  4 pairs (_)
* DURATION: 0:00:05.537410  START: 17:54:04.707603  END: 17:54:10.245013 2019-04-28
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F3,F4: 9.. / F3 = 9  =>  1 pairs (_) / F4 = 9 ==>  0 pairs (X)
D3,F3: 9.. / D3 = 9 ==>  0 pairs (X) / F3 = 9  =>  1 pairs (_)
F4,F7: 7.. / F4 = 7 ==>  0 pairs (*) / F7 = 7  =>  0 pairs (X)
* DURATION: 0:00:32.818495  START: 17:54:10.245542  END: 17:54:43.064037 2019-04-28
* REASONING F3,F4: 9..
* DIS # F4: 9 # H3: 2,3 => CTR => H3: 6,7,8
* DIS # F4: 9 + H3: 6,7,8 # C5: 1,7 => CTR => C5: 2,3,9
* DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 5 => CTR => C4: 1,7
* DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 # E5: 2,8 => CTR => E5: 7
* DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 # A7: 1,2 => CTR => A7: 4,8
* DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 + A7: 4,8 => CTR => F4: 4,5,7
* STA F4: 4,5,7
* CNT   6 HDP CHAINS /  18 HYP OPENED
* REASONING D3,F3: 9..
* DIS # D3: 9 # H3: 2,3 => CTR => H3: 6,7,8
* DIS # D3: 9 + H3: 6,7,8 # C5: 1,7 => CTR => C5: 2,3,9
* DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 5 => CTR => C4: 1,7
* DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 # E5: 2,8 => CTR => E5: 7
* DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 # A7: 1,2 => CTR => A7: 4,8
* DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 + A7: 4,8 => CTR => D3: 2,8
* STA D3: 2,8
* CNT   6 HDP CHAINS /  18 HYP OPENED
* REASONING F4,F7: 7..
* DIS # F4: 7 # H3: 2,8 => CTR => H3: 3,6,7
* DIS # F4: 7 + H3: 3,6,7 # I3: 2,8 => CTR => I3: 1,6,7
* PRF # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # C4: 1,9 => SOL
* STA # F4: 7 + H3: 3,6,7 + I3: 1,6,7 + C4: 1,9
* CNT   3 HDP CHAINS /  14 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=318

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F3,F4: 9..:

* INC # F4: 9 # F1: 2,3 => UNS
* INC # F4: 9 # F2: 2,3 => UNS
* INC # F4: 9 # A3: 2,3 => UNS
* DIS # F4: 9 # H3: 2,3 => CTR => H3: 6,7,8
* INC # F4: 9 + H3: 6,7,8 # A3: 2,3 => UNS
* INC # F4: 9 + H3: 6,7,8 # A3: 1 => UNS
* INC # F4: 9 + H3: 6,7,8 # F1: 2,3 => UNS
* INC # F4: 9 + H3: 6,7,8 # F2: 2,3 => UNS
* INC # F4: 9 + H3: 6,7,8 # A3: 2,3 => UNS
* INC # F4: 9 + H3: 6,7,8 # A3: 1 => UNS
* INC # F4: 9 + H3: 6,7,8 # C4: 1,7 => UNS
* DIS # F4: 9 + H3: 6,7,8 # C5: 1,7 => CTR => C5: 2,3,9
* INC # F4: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 1,7 => UNS
* DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 5 => CTR => C4: 1,7
* DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 # E5: 2,8 => CTR => E5: 7
* DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 # A7: 1,2 => CTR => A7: 4,8
* DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 + A7: 4,8 => CTR => F4: 4,5,7
* INC F4: 4,5,7 # F3: 9 => UNS
* STA F4: 4,5,7
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for D3,F3: 9..:

* INC # D3: 9 # F1: 2,3 => UNS
* INC # D3: 9 # F2: 2,3 => UNS
* INC # D3: 9 # A3: 2,3 => UNS
* DIS # D3: 9 # H3: 2,3 => CTR => H3: 6,7,8
* INC # D3: 9 + H3: 6,7,8 # A3: 2,3 => UNS
* INC # D3: 9 + H3: 6,7,8 # A3: 1 => UNS
* INC # D3: 9 + H3: 6,7,8 # F1: 2,3 => UNS
* INC # D3: 9 + H3: 6,7,8 # F2: 2,3 => UNS
* INC # D3: 9 + H3: 6,7,8 # A3: 2,3 => UNS
* INC # D3: 9 + H3: 6,7,8 # A3: 1 => UNS
* INC # D3: 9 + H3: 6,7,8 # C4: 1,7 => UNS
* DIS # D3: 9 + H3: 6,7,8 # C5: 1,7 => CTR => C5: 2,3,9
* INC # D3: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 1,7 => UNS
* DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 5 => CTR => C4: 1,7
* DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 # E5: 2,8 => CTR => E5: 7
* DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 # A7: 1,2 => CTR => A7: 4,8
* DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 + A7: 4,8 => CTR => D3: 2,8
* INC D3: 2,8 # F3: 9 => UNS
* STA D3: 2,8
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for F4,F7: 7..:

* INC # F4: 7 # D2: 2,8 => UNS
* INC # F4: 7 # E2: 2,8 => UNS
* INC # F4: 7 # E3: 2,8 => UNS
* DIS # F4: 7 # H3: 2,8 => CTR => H3: 3,6,7
* DIS # F4: 7 + H3: 3,6,7 # I3: 2,8 => CTR => I3: 1,6,7
* INC # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # D5: 2,8 => UNS
* INC # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # D5: 9 => UNS
* INC # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # D2: 2,8 => UNS
* INC # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # E2: 2,8 => UNS
* INC # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # E3: 2,8 => UNS
* INC # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # D5: 2,8 => UNS
* INC # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # D5: 9 => UNS
* PRF # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # C4: 1,9 => SOL
* STA # F4: 7 + H3: 3,6,7 + I3: 1,6,7 + C4: 1,9
* CNT  13 HDP CHAINS /  14 HYP OPENED