Analysis of xx-ph-00038691-12_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....7.6...8......5.....9.8..6......4..3......2..1.6.5..7....1....2......3..4 initial

Autosolve

position: 98.7.....7.6...8......58....9.8..6......4..3......2..1.6.5..7....1....2......3..4 autosolve
Autosolve

Pair Reduction Variants

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 C7,C9: 9..:

* DIS # C7: 9 # H9: 1,8 => CTR => H9: 5,6,9
* DIS # C7: 9 + H9: 5,6,9 # I8: 3,8 => CTR => I8: 5,6,9
* DIS # C7: 9 + H9: 5,6,9 + I8: 5,6,9 # E9: 1,2 => CTR => E9: 6,7,8,9
* CNT   3 HDP CHAINS /  26 HYP OPENED

List of important HDP chains detected for F4,F5: 5..:

* DIS # F5: 5 # I5: 2,9 => CTR => I5: 7,8
* DIS # F5: 5 + I5: 7,8 # H6: 4,5,9 => CTR => H6: 7,8
* DIS # F5: 5 + I5: 7,8 + H6: 7,8 # D6: 6,9 => CTR => D6: 3
* PRF # F5: 5 + I5: 7,8 + H6: 7,8 + D6: 3 # G6: 9 => SOL
* STA # F5: 5 + I5: 7,8 + H6: 7,8 + D6: 3 + G6: 9
* CNT   4 HDP CHAINS /  35 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.....7.6...8......5.....9.8..6......4..3......2..1.6.5..7....1....2......3..4 initial
98.7.....7.6...8......58....9.8..6......4..3......2..1.6.5..7....1....2......3..4 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C1,B2: 5.. / C1 = 5  =>  0 pairs (_) / B2 = 5  =>  1 pairs (_)
F4,F5: 5.. / F4 = 5  =>  2 pairs (_) / F5 = 5  =>  2 pairs (_)
A5,A6: 6.. / A5 = 6  =>  1 pairs (_) / A6 = 6  =>  1 pairs (_)
I8,H9: 6.. / I8 = 6  =>  1 pairs (_) / H9 = 6  =>  0 pairs (_)
H3,I3: 7.. / H3 = 7  =>  1 pairs (_) / I3 = 7  =>  1 pairs (_)
I5,H6: 8.. / I5 = 8  =>  1 pairs (_) / H6 = 8  =>  1 pairs (_)
C7,C9: 9.. / C7 = 9  =>  3 pairs (_) / C9 = 9  =>  1 pairs (_)
* DURATION: 0:00:03.748367  START: 16:07:44.246088  END: 16:07:47.994455 2020-12-17
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C7,C9: 9.. / C7 = 9 ==>  4 pairs (_) / C9 = 9 ==>  1 pairs (_)
F4,F5: 5.. / F4 = 5 ==>  2 pairs (_) / F5 = 5 ==>  0 pairs (*)
* DURATION: 0:00:29.501537  START: 16:07:47.994972  END: 16:08:17.496509 2020-12-17
* REASONING C7,C9: 9..
* DIS # C7: 9 # H9: 1,8 => CTR => H9: 5,6,9
* DIS # C7: 9 + H9: 5,6,9 # I8: 3,8 => CTR => I8: 5,6,9
* DIS # C7: 9 + H9: 5,6,9 + I8: 5,6,9 # E9: 1,2 => CTR => E9: 6,7,8,9
* CNT   3 HDP CHAINS /  26 HYP OPENED
* REASONING F4,F5: 5..
* DIS # F5: 5 # I5: 2,9 => CTR => I5: 7,8
* DIS # F5: 5 + I5: 7,8 # H6: 4,5,9 => CTR => H6: 7,8
* DIS # F5: 5 + I5: 7,8 + H6: 7,8 # D6: 6,9 => CTR => D6: 3
* PRF # F5: 5 + I5: 7,8 + H6: 7,8 + D6: 3 # G6: 9 => SOL
* STA # F5: 5 + I5: 7,8 + H6: 7,8 + D6: 3 + G6: 9
* CNT   4 HDP CHAINS /  35 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

38691;12_07;GP;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C7,C9: 9..:

* INC # C7: 9 # F1: 1,4 => UNS
* INC # C7: 9 # F2: 1,4 => UNS
* DIS # C7: 9 # H9: 1,8 => CTR => H9: 5,6,9
* INC # C7: 9 + H9: 5,6,9 # E7: 1,8 => UNS
* INC # C7: 9 + H9: 5,6,9 # E7: 2 => UNS
* DIS # C7: 9 + H9: 5,6,9 # I8: 3,8 => CTR => I8: 5,6,9
* INC # C7: 9 + H9: 5,6,9 + I8: 5,6,9 # D9: 1,2 => UNS
* DIS # C7: 9 + H9: 5,6,9 + I8: 5,6,9 # E9: 1,2 => CTR => E9: 6,7,8,9
* INC # C7: 9 + H9: 5,6,9 + I8: 5,6,9 + E9: 6,7,8,9 # D9: 1,2 => UNS
* INC # C7: 9 + H9: 5,6,9 + I8: 5,6,9 + E9: 6,7,8,9 # D9: 6,9 => UNS
* INC # C7: 9 + H9: 5,6,9 + I8: 5,6,9 + E9: 6,7,8,9 # E1: 1,2 => UNS
* INC # C7: 9 + H9: 5,6,9 + I8: 5,6,9 + E9: 6,7,8,9 # E2: 1,2 => UNS
* INC # C7: 9 + H9: 5,6,9 + I8: 5,6,9 + E9: 6,7,8,9 # F1: 1,4 => UNS
* INC # C7: 9 + H9: 5,6,9 + I8: 5,6,9 + E9: 6,7,8,9 # F2: 1,4 => UNS
* INC # C7: 9 + H9: 5,6,9 + I8: 5,6,9 + E9: 6,7,8,9 # D9: 1,2 => UNS
* INC # C7: 9 + H9: 5,6,9 + I8: 5,6,9 + E9: 6,7,8,9 # D9: 6,9 => UNS
* INC # C7: 9 + H9: 5,6,9 + I8: 5,6,9 + E9: 6,7,8,9 # E1: 1,2 => UNS
* INC # C7: 9 + H9: 5,6,9 + I8: 5,6,9 + E9: 6,7,8,9 # E2: 1,2 => UNS
* INC # C7: 9 + H9: 5,6,9 + I8: 5,6,9 + E9: 6,7,8,9 # F1: 1,4 => UNS
* INC # C7: 9 + H9: 5,6,9 + I8: 5,6,9 + E9: 6,7,8,9 # F2: 1,4 => UNS
* INC # C7: 9 + H9: 5,6,9 + I8: 5,6,9 + E9: 6,7,8,9 => UNS
* INC # C9: 9 # H9: 1,5 => UNS
* INC # C9: 9 # H9: 6,8 => UNS
* INC # C9: 9 # G1: 1,5 => UNS
* INC # C9: 9 # G1: 2,3,4 => UNS
* INC # C9: 9 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for F4,F5: 5..:

* INC # F4: 5 # H6: 4,7 => UNS
* INC # F4: 5 # H6: 5,8,9 => UNS
* INC # F4: 5 # C4: 4,7 => UNS
* INC # F4: 5 # C4: 2,3 => UNS
* INC # F4: 5 # H3: 4,7 => UNS
* INC # F4: 5 # H3: 1,6,9 => UNS
* INC # F4: 5 # I5: 2,7 => UNS
* INC # F4: 5 # I5: 5,8,9 => UNS
* INC # F4: 5 # C4: 2,7 => UNS
* INC # F4: 5 # C4: 3,4 => UNS
* INC # F4: 5 # I3: 2,7 => UNS
* INC # F4: 5 # I3: 3,6,9 => UNS
* INC # F4: 5 => UNS
* INC # F5: 5 # E4: 1,7 => UNS
* INC # F5: 5 # E4: 3 => UNS
* DIS # F5: 5 # I5: 2,9 => CTR => I5: 7,8
* INC # F5: 5 + I5: 7,8 # G3: 2,9 => UNS
* INC # F5: 5 + I5: 7,8 # G3: 1,3,4 => UNS
* INC # F5: 5 + I5: 7,8 # E4: 1,7 => UNS
* INC # F5: 5 + I5: 7,8 # E4: 3 => UNS
* INC # F5: 5 + I5: 7,8 # G3: 2,9 => UNS
* INC # F5: 5 + I5: 7,8 # G3: 1,3,4 => UNS
* INC # F5: 5 + I5: 7,8 # H6: 7,8 => UNS
* DIS # F5: 5 + I5: 7,8 # H6: 4,5,9 => CTR => H6: 7,8
* INC # F5: 5 + I5: 7,8 + H6: 7,8 # C5: 7,8 => UNS
* INC # F5: 5 + I5: 7,8 + H6: 7,8 # C5: 2 => UNS
* INC # F5: 5 + I5: 7,8 + H6: 7,8 # H3: 6,9 => UNS
* INC # F5: 5 + I5: 7,8 + H6: 7,8 # I3: 6,9 => UNS
* INC # F5: 5 + I5: 7,8 + H6: 7,8 # D5: 6,9 => UNS
* DIS # F5: 5 + I5: 7,8 + H6: 7,8 # D6: 6,9 => CTR => D6: 3
* INC # F5: 5 + I5: 7,8 + H6: 7,8 + D6: 3 # H3: 6,9 => UNS
* INC # F5: 5 + I5: 7,8 + H6: 7,8 + D6: 3 # I3: 6,9 => UNS
* INC # F5: 5 + I5: 7,8 + H6: 7,8 + D6: 3 # G6: 4,5 => UNS
* PRF # F5: 5 + I5: 7,8 + H6: 7,8 + D6: 3 # G6: 9 => SOL
* STA # F5: 5 + I5: 7,8 + H6: 7,8 + D6: 3 + G6: 9
* CNT  34 HDP CHAINS /  35 HYP OPENED