Analysis of xx-ph-02345852-2019_05_01-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7......95.4.6..7..4..3......3..86..4..8.7.3...7.8..4......2..1.........7 initial

Autosolve

position: 98.7..64.7......95.4.6..7..4..3......3..86..4..8.7.3...7.8..4......27.1.........7 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 F2,G2: 8..:

* DIS # G2: 8 # F4: 1,5 => CTR => F4: 2,9
* DIS # G2: 8 + F4: 2,9 # C4: 1,5 => CTR => C4: 2,6,7,9
* DIS # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # F6: 2,9 => CTR => F6: 1,4,5
* PRF # G2: 8 + F4: 2,9 + C4: 2,6,7,9 + F6: 1,4,5 # C4: 2,9 => SOL
* STA # G2: 8 + F4: 2,9 + C4: 2,6,7,9 + F6: 1,4,5 + C4: 2,9
* CNT   4 HDP CHAINS /  51 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..7......95.4.6..7..4..3......3..86..4..8.7.3...7.8..4......2..1.........7 initial
98.7..64.7......95.4.6..7..4..3......3..86..4..8.7.3...7.8..4......27.1.........7 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D6,F6: 4.. / D6 = 4  =>  2 pairs (_) / F6 = 4  =>  0 pairs (_)
C8,C9: 4.. / C8 = 4  =>  1 pairs (_) / C9 = 4  =>  1 pairs (_)
C8,D8: 4.. / C8 = 4  =>  1 pairs (_) / D8 = 4  =>  1 pairs (_)
E2,E9: 4.. / E2 = 4  =>  1 pairs (_) / E9 = 4  =>  2 pairs (_)
B2,C2: 6.. / B2 = 6  =>  1 pairs (_) / C2 = 6  =>  4 pairs (_)
E7,E9: 6.. / E7 = 6  =>  0 pairs (_) / E9 = 6  =>  1 pairs (_)
C4,C5: 7.. / C4 = 7  =>  0 pairs (_) / C5 = 7  =>  1 pairs (_)
H4,H5: 7.. / H4 = 7  =>  1 pairs (_) / H5 = 7  =>  0 pairs (_)
C4,H4: 7.. / C4 = 7  =>  0 pairs (_) / H4 = 7  =>  1 pairs (_)
C5,H5: 7.. / C5 = 7  =>  1 pairs (_) / H5 = 7  =>  0 pairs (_)
F2,F3: 8.. / F2 = 8  =>  1 pairs (_) / F3 = 8  =>  3 pairs (_)
A8,A9: 8.. / A8 = 8  =>  1 pairs (_) / A9 = 8  =>  0 pairs (_)
F2,G2: 8.. / F2 = 8  =>  1 pairs (_) / G2 = 8  =>  3 pairs (_)
E3,F3: 9.. / E3 = 9  =>  1 pairs (_) / F3 = 9  =>  1 pairs (_)
* DURATION: 0:00:09.160564  START: 17:42:53.797270  END: 17:43:02.957834 2020-11-13
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B2,C2: 6.. / B2 = 6 ==>  1 pairs (_) / C2 = 6 ==>  4 pairs (_)
F2,G2: 8.. / F2 = 8  =>  0 pairs (X) / G2 = 8 ==>  0 pairs (*)
* DURATION: 0:00:54.400682  START: 17:43:02.958434  END: 17:43:57.359116 2020-11-13
* REASONING F2,G2: 8..
* DIS # G2: 8 # F4: 1,5 => CTR => F4: 2,9
* DIS # G2: 8 + F4: 2,9 # C4: 1,5 => CTR => C4: 2,6,7,9
* DIS # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # F6: 2,9 => CTR => F6: 1,4,5
* PRF # G2: 8 + F4: 2,9 + C4: 2,6,7,9 + F6: 1,4,5 # C4: 2,9 => SOL
* STA # G2: 8 + F4: 2,9 + C4: 2,6,7,9 + F6: 1,4,5 + C4: 2,9
* CNT   4 HDP CHAINS /  51 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

2345852;2019_05_01;PAQ;25;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B2,C2: 6..:

* INC # C2: 6 # C1: 1,2 => UNS
* INC # C2: 6 # A3: 1,2 => UNS
* INC # C2: 6 # C3: 1,2 => UNS
* INC # C2: 6 # D2: 1,2 => UNS
* INC # C2: 6 # F2: 1,2 => UNS
* INC # C2: 6 # G2: 1,2 => UNS
* INC # C2: 6 # B4: 1,2 => UNS
* INC # C2: 6 # B6: 1,2 => UNS
* INC # C2: 6 # B9: 1,2 => UNS
* INC # C2: 6 # F1: 1,5 => UNS
* INC # C2: 6 # E3: 1,5 => UNS
* INC # C2: 6 # F3: 1,5 => UNS
* INC # C2: 6 # C1: 1,5 => UNS
* INC # C2: 6 # C1: 2,3 => UNS
* INC # C2: 6 # E4: 1,5 => UNS
* INC # C2: 6 # E4: 9 => UNS
* INC # C2: 6 # F2: 3,4 => UNS
* INC # C2: 6 # F2: 1,2,8 => UNS
* INC # C2: 6 # E9: 3,4 => UNS
* INC # C2: 6 # E9: 6 => UNS
* INC # C2: 6 # E9: 3,6 => UNS
* INC # C2: 6 # E9: 4 => UNS
* INC # C2: 6 # A7: 3,6 => UNS
* INC # C2: 6 # H7: 3,6 => UNS
* INC # C2: 6 # I7: 3,6 => UNS
* INC # C2: 6 => UNS
* INC # B2: 6 # C7: 5,9 => UNS
* INC # B2: 6 # C8: 5,9 => UNS
* INC # B2: 6 # B9: 5,9 => UNS
* INC # B2: 6 # C9: 5,9 => UNS
* INC # B2: 6 # D8: 5,9 => UNS
* INC # B2: 6 # G8: 5,9 => UNS
* INC # B2: 6 # B4: 5,9 => UNS
* INC # B2: 6 # B6: 5,9 => UNS
* INC # B2: 6 => UNS
* CNT  35 HDP CHAINS /  35 HYP OPENED

Full list of HDP chains traversed for F2,G2: 8..:

* INC # G2: 8 # I1: 2,3 => UNS
* INC # G2: 8 # I3: 2,3 => UNS
* INC # G2: 8 # A3: 2,3 => UNS
* INC # G2: 8 # C3: 2,3 => UNS
* INC # G2: 8 # H7: 2,3 => UNS
* INC # G2: 8 # H9: 2,3 => UNS
* DIS # G2: 8 # F4: 1,5 => CTR => F4: 2,9
* INC # G2: 8 + F4: 2,9 # D5: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 # D6: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 # F6: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 # B4: 1,5 => UNS
* DIS # G2: 8 + F4: 2,9 # C4: 1,5 => CTR => C4: 2,6,7,9
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # G4: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # E1: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # E7: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # E9: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # D5: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # D6: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # F6: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # B4: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # G4: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # E1: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # E7: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # E9: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # G9: 5,9 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # G9: 2 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # B8: 5,9 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # C8: 5,9 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # D8: 5,9 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # G4: 5,9 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # G5: 5,9 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # I1: 2,3 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # I3: 2,3 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # A3: 2,3 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # C3: 2,3 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # H7: 2,3 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # H9: 2,3 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # D5: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # D6: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # F6: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # B4: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # G4: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # E1: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # E7: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # E9: 1,5 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # D5: 2,9 => UNS
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # D6: 2,9 => UNS
* DIS # G2: 8 + F4: 2,9 + C4: 2,6,7,9 # F6: 2,9 => CTR => F6: 1,4,5
* INC # G2: 8 + F4: 2,9 + C4: 2,6,7,9 + F6: 1,4,5 # B4: 2,9 => UNS
* PRF # G2: 8 + F4: 2,9 + C4: 2,6,7,9 + F6: 1,4,5 # C4: 2,9 => SOL
* STA # G2: 8 + F4: 2,9 + C4: 2,6,7,9 + F6: 1,4,5 + C4: 2,9
* CNT  50 HDP CHAINS /  51 HYP OPENED