Analysis of xx-ph-00032496-2012_03_13-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6...5.9....5....7.4...3..2...86..5.......4....1..7..3...69..7.......2..1 initial

Autosolve

position: 98.7.....6...5.9....5....7.4...3..2...86..5.......4....1..7..3...69..7.......2..1 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for E3,F3: 9..:

* DIS # E3: 9 # E9: 4,8 => CTR => E9: 6
* CNT   1 HDP CHAINS /  60 HYP OPENED

List of important HDP chains detected for F4,F5: 7..:

* PRF # F4: 7 # I7: 4,8 => SOL
* STA # F4: 7 + I7: 4,8
* 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...5.9....5....7.4...3..2...86..5.......4....1..7..3...69..7.......2..1 initial
98.7.....6...5.9....5....7.4...3..2...86..5.......4....1..7..3...69..7.......2..1 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E8,F8: 1.. / E8 = 1  =>  1 pairs (_) / F8 = 1  =>  5 pairs (_)
F8,D9: 3.. / F8 = 3  =>  3 pairs (_) / D9 = 3  =>  0 pairs (_)
H5,I5: 4.. / H5 = 4  =>  2 pairs (_) / I5 = 4  =>  1 pairs (_)
H1,I1: 5.. / H1 = 5  =>  1 pairs (_) / I1 = 5  =>  0 pairs (_)
B4,B6: 6.. / B4 = 6  =>  1 pairs (_) / B6 = 6  =>  0 pairs (_)
F7,E9: 6.. / F7 = 6  =>  2 pairs (_) / E9 = 6  =>  2 pairs (_)
B2,C2: 7.. / B2 = 7  =>  0 pairs (_) / C2 = 7  =>  1 pairs (_)
F4,F5: 7.. / F4 = 7  =>  3 pairs (_) / F5 = 7  =>  0 pairs (_)
E3,F3: 9.. / E3 = 9  =>  4 pairs (_) / F3 = 9  =>  1 pairs (_)
I7,H9: 9.. / I7 = 9  =>  1 pairs (_) / H9 = 9  =>  2 pairs (_)
C7,I7: 9.. / C7 = 9  =>  2 pairs (_) / I7 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.319540  START: 14:10:54.660540  END: 14:11:00.980080 2020-12-11
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E8,F8: 1.. / E8 = 1 ==>  1 pairs (_) / F8 = 1 ==>  5 pairs (_)
E3,F3: 9.. / E3 = 9 ==>  6 pairs (_) / F3 = 9 ==>  1 pairs (_)
F4,F5: 7.. / F4 = 7 ==>  0 pairs (*) / F5 = 7  =>  0 pairs (X)
* DURATION: 0:00:50.287326  START: 14:11:00.980612  END: 14:11:51.267938 2020-12-11
* REASONING E3,F3: 9..
* DIS # E3: 9 # E9: 4,8 => CTR => E9: 6
* CNT   1 HDP CHAINS /  60 HYP OPENED
* REASONING F4,F5: 7..
* PRF # F4: 7 # I7: 4,8 => SOL
* STA # F4: 7 + I7: 4,8
* CNT   1 HDP CHAINS /  14 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

32496;2012_03_13;GP;23;11.30;11.30;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E8,F8: 1..:

* INC # F8: 1 # F3: 3,6 => UNS
* INC # F8: 1 # F3: 8,9 => UNS
* INC # F8: 1 # G1: 3,6 => UNS
* INC # F8: 1 # I1: 3,6 => UNS
* INC # F8: 1 # F3: 3,8 => UNS
* INC # F8: 1 # F3: 6,9 => UNS
* INC # F8: 1 # I2: 3,8 => UNS
* INC # F8: 1 # I2: 2,4 => UNS
* INC # F8: 1 # F4: 7,9 => UNS
* INC # F8: 1 # F4: 5,8 => UNS
* INC # F8: 1 # B5: 7,9 => UNS
* INC # F8: 1 # I5: 7,9 => UNS
* INC # F8: 1 # A8: 2,8 => UNS
* INC # F8: 1 # A8: 3,5 => UNS
* INC # F8: 1 # G7: 2,8 => UNS
* INC # F8: 1 # I7: 2,8 => UNS
* INC # F8: 1 # D7: 4,8 => UNS
* INC # F8: 1 # E9: 4,8 => UNS
* INC # F8: 1 # H8: 4,8 => UNS
* INC # F8: 1 # I8: 4,8 => UNS
* INC # F8: 1 # E3: 4,8 => UNS
* INC # F8: 1 # E3: 1,2,6,9 => UNS
* INC # F8: 1 => UNS
* INC # E8: 1 # E6: 2,9 => UNS
* INC # E8: 1 # E6: 8 => UNS
* INC # E8: 1 # B5: 2,9 => UNS
* INC # E8: 1 # B5: 3,7 => UNS
* INC # E8: 1 # E3: 2,9 => UNS
* INC # E8: 1 # E3: 4,6,8 => UNS
* INC # E8: 1 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

Full list of HDP chains traversed for E3,F3: 9..:

* INC # E3: 9 # B4: 7,9 => UNS
* INC # E3: 9 # C4: 7,9 => UNS
* INC # E3: 9 # I4: 7,9 => UNS
* INC # E3: 9 # D6: 1,2 => UNS
* INC # E3: 9 # E6: 1,2 => UNS
* INC # E3: 9 # A5: 1,2 => UNS
* INC # E3: 9 # A5: 3,7 => UNS
* INC # E3: 9 # E1: 1,2 => UNS
* INC # E3: 9 # E1: 4,6 => UNS
* INC # E3: 9 # B5: 7,9 => UNS
* INC # E3: 9 # I5: 7,9 => UNS
* INC # E3: 9 # E8: 4,8 => UNS
* INC # E3: 9 # D9: 4,8 => UNS
* DIS # E3: 9 # E9: 4,8 => CTR => E9: 6
* INC # E3: 9 + E9: 6 # G7: 4,8 => UNS
* INC # E3: 9 + E9: 6 # I7: 4,8 => UNS
* INC # E3: 9 + E9: 6 # D2: 4,8 => UNS
* INC # E3: 9 + E9: 6 # D3: 4,8 => UNS
* INC # E3: 9 + E9: 6 # E8: 4,8 => UNS
* INC # E3: 9 + E9: 6 # D9: 4,8 => UNS
* INC # E3: 9 + E9: 6 # G7: 4,8 => UNS
* INC # E3: 9 + E9: 6 # I7: 4,8 => UNS
* INC # E3: 9 + E9: 6 # D2: 4,8 => UNS
* INC # E3: 9 + E9: 6 # D3: 4,8 => UNS
* INC # E3: 9 + E9: 6 # B4: 7,9 => UNS
* INC # E3: 9 + E9: 6 # C4: 7,9 => UNS
* INC # E3: 9 + E9: 6 # I4: 7,9 => UNS
* INC # E3: 9 + E9: 6 # D6: 1,2 => UNS
* INC # E3: 9 + E9: 6 # E6: 1,2 => UNS
* INC # E3: 9 + E9: 6 # A5: 1,2 => UNS
* INC # E3: 9 + E9: 6 # A5: 3,7 => UNS
* INC # E3: 9 + E9: 6 # E1: 1,2 => UNS
* INC # E3: 9 + E9: 6 # E1: 4 => UNS
* INC # E3: 9 + E9: 6 # B5: 7,9 => UNS
* INC # E3: 9 + E9: 6 # I5: 7,9 => UNS
* INC # E3: 9 + E9: 6 # E8: 4,8 => UNS
* INC # E3: 9 + E9: 6 # D9: 4,8 => UNS
* INC # E3: 9 + E9: 6 # G7: 4,8 => UNS
* INC # E3: 9 + E9: 6 # I7: 4,8 => UNS
* INC # E3: 9 + E9: 6 # D2: 4,8 => UNS
* INC # E3: 9 + E9: 6 # D3: 4,8 => UNS
* INC # E3: 9 + E9: 6 # F8: 5,8 => UNS
* INC # E3: 9 + E9: 6 # F8: 1,3 => UNS
* INC # E3: 9 + E9: 6 # A7: 5,8 => UNS
* INC # E3: 9 + E9: 6 # I7: 5,8 => UNS
* INC # E3: 9 + E9: 6 # G7: 4,8 => UNS
* INC # E3: 9 + E9: 6 # I7: 4,8 => UNS
* INC # E3: 9 + E9: 6 # H8: 4,8 => UNS
* INC # E3: 9 + E9: 6 # I8: 4,8 => UNS
* INC # E3: 9 + E9: 6 # H9: 4,8 => UNS
* INC # E3: 9 + E9: 6 # D9: 4,8 => UNS
* INC # E3: 9 + E9: 6 # D9: 3 => UNS
* INC # E3: 9 + E9: 6 # G3: 4,8 => UNS
* INC # E3: 9 + E9: 6 # G3: 1,2,3,6 => UNS
* INC # E3: 9 + E9: 6 => UNS
* INC # F3: 9 # F4: 1,7 => UNS
* INC # F3: 9 # F4: 5,8 => UNS
* INC # F3: 9 # A5: 1,7 => UNS
* INC # F3: 9 # A5: 2,3 => UNS
* INC # F3: 9 => UNS
* CNT  60 HDP CHAINS /  60 HYP OPENED

Full list of HDP chains traversed for F4,F5: 7..:

* INC # F4: 7 # C6: 1,9 => UNS
* INC # F4: 7 # C6: 2,3,7 => UNS
* INC # F4: 7 # E5: 1,9 => UNS
* INC # F4: 7 # E6: 1,9 => UNS
* INC # F4: 7 # H5: 1,9 => UNS
* INC # F4: 7 # H5: 4 => UNS
* INC # F4: 7 # F3: 1,9 => UNS
* INC # F4: 7 # F3: 3,6,8 => UNS
* INC # F4: 7 # E8: 4,8 => UNS
* INC # F4: 7 # D9: 4,8 => UNS
* INC # F4: 7 # E9: 4,8 => UNS
* INC # F4: 7 # G7: 4,8 => UNS
* PRF # F4: 7 # I7: 4,8 => SOL
* STA # F4: 7 + I7: 4,8
* CNT  13 HDP CHAINS /  14 HYP OPENED