Analysis of xx-ph-00032575-2012_03_13-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..5..........4.9..8.4...7..9...73....2.....17.6.4..5..6....6..3.......2..1 initial

Autosolve

position: 98.7..6..5..........4.9..8.4...7..9...73....2.....17.6.4..5..6....6..3.......2..1 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for I4,H6: 3..:

* DIS # I4: 3 # H5: 4,5 => CTR => H5: 1
* DIS # I4: 3 + H5: 1 # F5: 6,8 => CTR => F5: 4,5,9
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 # C4: 5,8 => CTR => C4: 1,2,6
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 # D4: 5,8 => CTR => D4: 2
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 # F4: 6 => CTR => F4: 5,8
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 # H8: 4,5 => CTR => H8: 2,7
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 + H8: 2,7 # H9: 4,5 => CTR => H9: 7
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 + H8: 2,7 + H9: 7 # H1: 3 => CTR => H1: 4,5
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 + H8: 2,7 + H9: 7 + H1: 4,5 # D6: 4,8 => CTR => D6: 9
* PRF # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 + H8: 2,7 + H9: 7 + H1: 4,5 + D6: 9 => SOL
* STA I4: 3
* CNT  10 HDP CHAINS /  57 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..........4.9..8.4...7..9...73....2.....17.6.4..5..6....6..3.......2..1 initial
98.7..6..5..........4.9..8.4...7..9...73....2.....17.6.4..5..6....6..3.......2..1 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
D7,E8: 1.. / D7 = 1  =>  2 pairs (_) / E8 = 1  =>  1 pairs (_)
G7,H8: 2.. / G7 = 2  =>  1 pairs (_) / H8 = 2  =>  1 pairs (_)
I4,H6: 3.. / I4 = 3  =>  4 pairs (_) / H6 = 3  =>  3 pairs (_)
F7,E9: 3.. / F7 = 3  =>  3 pairs (_) / E9 = 3  =>  0 pairs (_)
E2,E5: 6.. / E2 = 6  =>  2 pairs (_) / E5 = 6  =>  2 pairs (_)
F7,F8: 7.. / F7 = 7  =>  1 pairs (_) / F8 = 7  =>  0 pairs (_)
G2,I2: 9.. / G2 = 9  =>  1 pairs (_) / I2 = 9  =>  1 pairs (_)
F5,D6: 9.. / F5 = 9  =>  0 pairs (_) / D6 = 9  =>  4 pairs (_)
B5,F5: 9.. / B5 = 9  =>  4 pairs (_) / F5 = 9  =>  0 pairs (_)
* DURATION: 0:00:05.312708  START: 17:08:41.483594  END: 17:08:46.796302 2020-12-11
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I4,H6: 3.. / I4 = 3 ==>  0 pairs (*) / H6 = 3  =>  0 pairs (X)
* DURATION: 0:00:33.336110  START: 17:08:46.796839  END: 17:09:20.132949 2020-12-11
* REASONING I4,H6: 3..
* DIS # I4: 3 # H5: 4,5 => CTR => H5: 1
* DIS # I4: 3 + H5: 1 # F5: 6,8 => CTR => F5: 4,5,9
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 # C4: 5,8 => CTR => C4: 1,2,6
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 # D4: 5,8 => CTR => D4: 2
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 # F4: 6 => CTR => F4: 5,8
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 # H8: 4,5 => CTR => H8: 2,7
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 + H8: 2,7 # H9: 4,5 => CTR => H9: 7
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 + H8: 2,7 + H9: 7 # H1: 3 => CTR => H1: 4,5
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 + H8: 2,7 + H9: 7 + H1: 4,5 # D6: 4,8 => CTR => D6: 9
* PRF # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 + H8: 2,7 + H9: 7 + H1: 4,5 + D6: 9 => SOL
* STA I4: 3
* CNT  10 HDP CHAINS /  57 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

32575;2012_03_13;GP;24;11.30;11.30;10.70

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I4,H6: 3..:

* INC # I4: 3 # H1: 4,5 => UNS
* INC # I4: 3 # H1: 1,2,3 => UNS
* INC # I4: 3 # F1: 4,5 => UNS
* INC # I4: 3 # F1: 3 => UNS
* INC # I4: 3 # I8: 4,5 => UNS
* INC # I4: 3 # I8: 7,8,9 => UNS
* INC # I4: 3 # I8: 5,7 => UNS
* INC # I4: 3 # I8: 4,8,9 => UNS
* INC # I4: 3 # G5: 4,5 => UNS
* DIS # I4: 3 # H5: 4,5 => CTR => H5: 1
* INC # I4: 3 + H5: 1 # G5: 4,5 => UNS
* INC # I4: 3 + H5: 1 # G5: 8 => UNS
* INC # I4: 3 + H5: 1 # D6: 4,5 => UNS
* INC # I4: 3 + H5: 1 # D6: 2,8,9 => UNS
* INC # I4: 3 + H5: 1 # H1: 4,5 => UNS
* INC # I4: 3 + H5: 1 # H8: 4,5 => UNS
* INC # I4: 3 + H5: 1 # H9: 4,5 => UNS
* INC # I4: 3 + H5: 1 # C7: 2,9 => UNS
* INC # I4: 3 + H5: 1 # C7: 1,3,8 => UNS
* INC # I4: 3 + H5: 1 # G2: 2,9 => UNS
* INC # I4: 3 + H5: 1 # G2: 1,4 => UNS
* INC # I4: 3 + H5: 1 # H1: 4,5 => UNS
* INC # I4: 3 + H5: 1 # H1: 2,3 => UNS
* INC # I4: 3 + H5: 1 # F1: 4,5 => UNS
* INC # I4: 3 + H5: 1 # F1: 3 => UNS
* INC # I4: 3 + H5: 1 # I8: 4,5 => UNS
* INC # I4: 3 + H5: 1 # I8: 7,8,9 => UNS
* INC # I4: 3 + H5: 1 # I8: 5,7 => UNS
* INC # I4: 3 + H5: 1 # I8: 4,8,9 => UNS
* INC # I4: 3 + H5: 1 # C4: 6,8 => UNS
* INC # I4: 3 + H5: 1 # C4: 1,2,5 => UNS
* INC # I4: 3 + H5: 1 # E5: 6,8 => UNS
* DIS # I4: 3 + H5: 1 # F5: 6,8 => CTR => F5: 4,5,9
* INC # I4: 3 + H5: 1 + F5: 4,5,9 # E5: 6,8 => UNS
* INC # I4: 3 + H5: 1 + F5: 4,5,9 # E5: 4 => UNS
* INC # I4: 3 + H5: 1 + F5: 4,5,9 # A9: 6,8 => UNS
* INC # I4: 3 + H5: 1 + F5: 4,5,9 # A9: 3,7 => UNS
* INC # I4: 3 + H5: 1 + F5: 4,5,9 # C4: 6,8 => UNS
* INC # I4: 3 + H5: 1 + F5: 4,5,9 # C4: 1,2,5 => UNS
* INC # I4: 3 + H5: 1 + F5: 4,5,9 # E5: 6,8 => UNS
* INC # I4: 3 + H5: 1 + F5: 4,5,9 # E5: 4 => UNS
* INC # I4: 3 + H5: 1 + F5: 4,5,9 # A9: 6,8 => UNS
* INC # I4: 3 + H5: 1 + F5: 4,5,9 # A9: 3,7 => UNS
* INC # I4: 3 + H5: 1 + F5: 4,5,9 # G5: 5,8 => UNS
* INC # I4: 3 + H5: 1 + F5: 4,5,9 # G5: 4 => UNS
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 # C4: 5,8 => CTR => C4: 1,2,6
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 # D4: 5,8 => CTR => D4: 2
* INC # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 # F4: 5,8 => UNS
* INC # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 # F4: 5,8 => UNS
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 # F4: 6 => CTR => F4: 5,8
* INC # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 # H1: 4,5 => UNS
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 # H8: 4,5 => CTR => H8: 2,7
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 + H8: 2,7 # H9: 4,5 => CTR => H9: 7
* INC # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 + H8: 2,7 + H9: 7 # H1: 4,5 => UNS
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 + H8: 2,7 + H9: 7 # H1: 3 => CTR => H1: 4,5
* DIS # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 + H8: 2,7 + H9: 7 + H1: 4,5 # D6: 4,8 => CTR => D6: 9
* PRF # I4: 3 + H5: 1 + F5: 4,5,9 + C4: 1,2,6 + D4: 2 + F4: 5,8 + H8: 2,7 + H9: 7 + H1: 4,5 + D6: 9 => SOL
* STA I4: 3
* CNT  57 HDP CHAINS /  57 HYP OPENED