Analysis of xx-ph-00029848-2011_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..76..8......5....8.43......2..6.9.5.......3.....7.5.9.....1...4......2..1 initial

Autosolve

position: 98.7..6..76..8......5....8.43......2..6.9.5.......3.....7.5.9.....1...4......2..1 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

Time used: 0:00:00.000008

List of important HDP chains detected for G3,I3: 7..:

* DIS # G3: 7 # G6: 1,8 => CTR => G6: 4
* DIS # G3: 7 + G6: 4 # D9: 4,8 => CTR => D9: 3,6,9
* CNT   2 HDP CHAINS /  25 HYP OPENED

List of important HDP chains detected for H7,G8: 2..:

* DIS # G8: 2 # H9: 3,6 => CTR => H9: 5,7
* CNT   1 HDP CHAINS /  39 HYP OPENED

List of important HDP chains detected for H5,I5: 3..:

* PRF # I5: 3 # A7: 6,8 => SOL
* STA # I5: 3 + A7: 6,8
* CNT   1 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

98.7..6..76..8......5....8.43......2..6.9.5.......3.....7.5.9.....1...4......2..1 initial
98.7..6..76..8......5....8.43......2..6.9.5.......3.....7.5.9.....1...4......2..1 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A7,B7: 1.. / A7 = 1  =>  3 pairs (_) / B7 = 1  =>  2 pairs (_)
H7,G8: 2.. / H7 = 2  =>  1 pairs (_) / G8 = 2  =>  4 pairs (_)
H5,I5: 3.. / H5 = 3  =>  1 pairs (_) / I5 = 3  =>  3 pairs (_)
A6,B6: 5.. / A6 = 5  =>  0 pairs (_) / B6 = 5  =>  3 pairs (_)
D4,F4: 5.. / D4 = 5  =>  0 pairs (_) / F4 = 5  =>  2 pairs (_)
I8,H9: 5.. / I8 = 5  =>  2 pairs (_) / H9 = 5  =>  2 pairs (_)
D2,D4: 5.. / D2 = 5  =>  2 pairs (_) / D4 = 5  =>  0 pairs (_)
G3,I3: 7.. / G3 = 7  =>  5 pairs (_) / I3 = 7  =>  0 pairs (_)
B5,B6: 7.. / B5 = 7  =>  1 pairs (_) / B6 = 7  =>  3 pairs (_)
F8,D9: 9.. / F8 = 9  =>  2 pairs (_) / D9 = 9  =>  1 pairs (_)
C4,H4: 9.. / C4 = 9  =>  0 pairs (_) / H4 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.653459  START: 08:18:50.194463  END: 08:18:56.847922 2020-12-11
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G3,I3: 7.. / G3 = 7 ==>  5 pairs (_) / I3 = 7 ==>  0 pairs (_)
H7,G8: 2.. / H7 = 2 ==>  1 pairs (_) / G8 = 2 ==>  5 pairs (_)
A7,B7: 1.. / A7 = 1 ==>  3 pairs (_) / B7 = 1 ==>  2 pairs (_)
B5,B6: 7.. / B5 = 7 ==>  1 pairs (_) / B6 = 7 ==>  3 pairs (_)
H5,I5: 3.. / H5 = 3  =>  0 pairs (X) / I5 = 3 ==>  0 pairs (*)
* DURATION: 0:00:55.595854  START: 08:18:56.848599  END: 08:19:52.444453 2020-12-11
* REASONING G3,I3: 7..
* DIS # G3: 7 # G6: 1,8 => CTR => G6: 4
* DIS # G3: 7 + G6: 4 # D9: 4,8 => CTR => D9: 3,6,9
* CNT   2 HDP CHAINS /  25 HYP OPENED
* REASONING H7,G8: 2..
* DIS # G8: 2 # H9: 3,6 => CTR => H9: 5,7
* CNT   1 HDP CHAINS /  39 HYP OPENED
* REASONING H5,I5: 3..
* PRF # I5: 3 # A7: 6,8 => SOL
* STA # I5: 3 + A7: 6,8
* CNT   1 HDP CHAINS /  14 HYP OPENED
* DCP COUNT: (5)
* SOLUTION FOUND

Header Info

29848;2011_12;GP;23;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G3,I3: 7..:

* DIS # G3: 7 # G6: 1,8 => CTR => G6: 4
* INC # G3: 7 + G6: 4 # C4: 1,8 => UNS
* INC # G3: 7 + G6: 4 # F4: 1,8 => UNS
* INC # G3: 7 + G6: 4 # D7: 4,8 => UNS
* DIS # G3: 7 + G6: 4 # D9: 4,8 => CTR => D9: 3,6,9
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # D7: 4,8 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # D7: 3 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # F5: 4,8 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # F5: 1,7 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # I7: 3,8 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # G8: 3,8 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # A9: 3,8 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # C9: 3,8 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # C4: 1,8 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # F4: 1,8 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # D7: 4,8 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # D7: 3 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # F5: 4,8 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # F5: 1,7 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # I7: 3,8 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # G8: 3,8 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # A9: 3,8 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 # C9: 3,8 => UNS
* INC # G3: 7 + G6: 4 + D9: 3,6,9 => UNS
* INC # I3: 7 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for H7,G8: 2..:

* INC # G8: 2 # A3: 1,2 => UNS
* INC # G8: 2 # A5: 1,2 => UNS
* INC # G8: 2 # A6: 1,2 => UNS
* INC # G8: 2 # B3: 1,2 => UNS
* INC # G8: 2 # B5: 1,2 => UNS
* INC # G8: 2 # B6: 1,2 => UNS
* INC # G8: 2 # B9: 5,9 => UNS
* INC # G8: 2 # B9: 4 => UNS
* INC # G8: 2 # B6: 5,9 => UNS
* INC # G8: 2 # B6: 1,2,7 => UNS
* INC # G8: 2 # I7: 3,6 => UNS
* INC # G8: 2 # I8: 3,6 => UNS
* DIS # G8: 2 # H9: 3,6 => CTR => H9: 5,7
* INC # G8: 2 + H9: 5,7 # D7: 3,6 => UNS
* INC # G8: 2 + H9: 5,7 # D7: 4,8 => UNS
* INC # G8: 2 + H9: 5,7 # I7: 3,6 => UNS
* INC # G8: 2 + H9: 5,7 # I8: 3,6 => UNS
* INC # G8: 2 + H9: 5,7 # D7: 3,6 => UNS
* INC # G8: 2 + H9: 5,7 # D7: 4,8 => UNS
* INC # G8: 2 + H9: 5,7 # A3: 1,2 => UNS
* INC # G8: 2 + H9: 5,7 # A5: 1,2 => UNS
* INC # G8: 2 + H9: 5,7 # A6: 1,2 => UNS
* INC # G8: 2 + H9: 5,7 # B3: 1,2 => UNS
* INC # G8: 2 + H9: 5,7 # B5: 1,2 => UNS
* INC # G8: 2 + H9: 5,7 # B6: 1,2 => UNS
* INC # G8: 2 + H9: 5,7 # B9: 5,9 => UNS
* INC # G8: 2 + H9: 5,7 # B9: 4 => UNS
* INC # G8: 2 + H9: 5,7 # B6: 5,9 => UNS
* INC # G8: 2 + H9: 5,7 # B6: 1,2,7 => UNS
* INC # G8: 2 + H9: 5,7 # I7: 3,6 => UNS
* INC # G8: 2 + H9: 5,7 # I8: 3,6 => UNS
* INC # G8: 2 + H9: 5,7 # D7: 3,6 => UNS
* INC # G8: 2 + H9: 5,7 # D7: 4,8 => UNS
* INC # G8: 2 + H9: 5,7 # I8: 5,7 => UNS
* INC # G8: 2 + H9: 5,7 # I8: 3,6,8 => UNS
* INC # G8: 2 + H9: 5,7 => UNS
* INC # H7: 2 # B3: 1,4 => UNS
* INC # H7: 2 # B3: 2 => UNS
* INC # H7: 2 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for A7,B7: 1..:

* INC # A7: 1 # C1: 2,3 => UNS
* INC # A7: 1 # C2: 2,3 => UNS
* INC # A7: 1 # D3: 2,3 => UNS
* INC # A7: 1 # E3: 2,3 => UNS
* INC # A7: 1 # G3: 2,3 => UNS
* INC # A7: 1 # A8: 2,3 => UNS
* INC # A7: 1 # A8: 5,6,8 => UNS
* INC # A7: 1 # A6: 2,8 => UNS
* INC # A7: 1 # C6: 2,8 => UNS
* INC # A7: 1 # D5: 2,8 => UNS
* INC # A7: 1 # D5: 4 => UNS
* INC # A7: 1 # A8: 2,8 => UNS
* INC # A7: 1 # A8: 3,5,6 => UNS
* INC # A7: 1 # B3: 2,4 => UNS
* INC # A7: 1 # B3: 1 => UNS
* INC # A7: 1 => UNS
* INC # B7: 1 # C1: 2,4 => UNS
* INC # B7: 1 # C2: 2,4 => UNS
* INC # B7: 1 # D3: 2,4 => UNS
* INC # B7: 1 # E3: 2,4 => UNS
* INC # B7: 1 # G3: 2,4 => UNS
* INC # B7: 1 # B6: 2,7 => UNS
* INC # B7: 1 # B6: 5,9 => UNS
* INC # B7: 1 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for B5,B6: 7..:

* INC # B6: 7 # A5: 1,2 => UNS
* INC # B6: 7 # C6: 1,2 => UNS
* INC # B6: 7 # B3: 1,2 => UNS
* INC # B6: 7 # B7: 1,2 => UNS
* INC # B6: 7 => UNS
* INC # B5: 7 # H1: 1,3 => UNS
* INC # B5: 7 # H2: 1,3 => UNS
* INC # B5: 7 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for H5,I5: 3..:

* INC # I5: 3 # I2: 4,5 => UNS
* INC # I5: 3 # I2: 9 => UNS
* INC # I5: 3 # F1: 4,5 => UNS
* INC # I5: 3 # F1: 1 => UNS
* INC # I5: 3 # G4: 1,7 => UNS
* INC # I5: 3 # H4: 1,7 => UNS
* INC # I5: 3 # G6: 1,7 => UNS
* INC # I5: 3 # H6: 1,7 => UNS
* INC # I5: 3 # B5: 1,7 => UNS
* INC # I5: 3 # F5: 1,7 => UNS
* INC # I5: 3 # I8: 6,8 => UNS
* INC # I5: 3 # I8: 5,7 => UNS
* PRF # I5: 3 # A7: 6,8 => SOL
* STA # I5: 3 + A7: 6,8
* CNT  13 HDP CHAINS /  14 HYP OPENED