Analysis of xx-ph-01127339-13_09-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6....7.5..9.........74...3......65....9......3..2....14...1.....2...98....6 initial

Autosolve

position: 98.7..6....7.5..9.........74...3......65....9......3..2....14...1....92...98....6 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 F8,F9: 5..:

* DIS # F9: 5 # G4: 1,7 => CTR => G4: 2,5,8
* DIS # F9: 5 + G4: 2,5,8 # G5: 2,8 => CTR => G5: 1,7
* DIS # F9: 5 + G4: 2,5,8 + G5: 1,7 # H9: 1,7 => CTR => H9: 3
* DIS # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 # D3: 1,4 => CTR => D3: 2,3,6,9
* DIS # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 + D3: 2,3,6,9 # E3: 1,4 => CTR => E3: 6,8,9
* PRF # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 + D3: 2,3,6,9 + E3: 6,8,9 # C1: 1,4 => SOL
* STA # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 + D3: 2,3,6,9 + E3: 6,8,9 + C1: 1,4
* CNT   6 HDP CHAINS /  28 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....7.5..9.........74...3......65....9......3..2....14...1.....2...98....6 initial
98.7..6....7.5..9.........74...3......65....9......3..2....14...1....92...98....6 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G9,H9: 1.. / G9 = 1  =>  1 pairs (_) / H9 = 1  =>  1 pairs (_)
E9,F9: 2.. / E9 = 2  =>  1 pairs (_) / F9 = 2  =>  3 pairs (_)
A5,B5: 3.. / A5 = 3  =>  3 pairs (_) / B5 = 3  =>  0 pairs (_)
C8,B9: 4.. / C8 = 4  =>  5 pairs (_) / B9 = 4  =>  1 pairs (_)
F8,F9: 5.. / F8 = 5  =>  1 pairs (_) / F9 = 5  =>  3 pairs (_)
H4,H6: 6.. / H4 = 6  =>  0 pairs (_) / H6 = 6  =>  0 pairs (_)
B7,A8: 6.. / B7 = 6  =>  2 pairs (_) / A8 = 6  =>  6 pairs (_)
B4,B6: 9.. / B4 = 9  =>  0 pairs (_) / B6 = 9  =>  0 pairs (_)
D7,E7: 9.. / D7 = 9  =>  1 pairs (_) / E7 = 9  =>  1 pairs (_)
* DURATION: 0:00:05.154081  START: 02:43:46.324126  END: 02:43:51.478207 2020-11-01
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B7,A8: 6.. / B7 = 6 ==>  2 pairs (_) / A8 = 6 ==>  6 pairs (_)
C8,B9: 4.. / C8 = 4 ==>  5 pairs (_) / B9 = 4 ==>  1 pairs (_)
F8,F9: 5.. / F8 = 5  =>  0 pairs (X) / F9 = 5 ==>  0 pairs (*)
* DURATION: 0:00:45.449121  START: 02:43:51.478779  END: 02:44:36.927900 2020-11-01
* REASONING F8,F9: 5..
* DIS # F9: 5 # G4: 1,7 => CTR => G4: 2,5,8
* DIS # F9: 5 + G4: 2,5,8 # G5: 2,8 => CTR => G5: 1,7
* DIS # F9: 5 + G4: 2,5,8 + G5: 1,7 # H9: 1,7 => CTR => H9: 3
* DIS # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 # D3: 1,4 => CTR => D3: 2,3,6,9
* DIS # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 + D3: 2,3,6,9 # E3: 1,4 => CTR => E3: 6,8,9
* PRF # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 + D3: 2,3,6,9 + E3: 6,8,9 # C1: 1,4 => SOL
* STA # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 + D3: 2,3,6,9 + E3: 6,8,9 + C1: 1,4
* CNT   6 HDP CHAINS /  28 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

1127339;13_09;GP;22;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B7,A8: 6..:

* INC # A8: 6 # C1: 1,3 => UNS
* INC # A8: 6 # A3: 1,3 => UNS
* INC # A8: 6 # C3: 1,3 => UNS
* INC # A8: 6 # D2: 1,3 => UNS
* INC # A8: 6 # I2: 1,3 => UNS
* INC # A8: 6 # A5: 1,3 => UNS
* INC # A8: 6 # A5: 7,8 => UNS
* INC # A8: 6 # D3: 6,9 => UNS
* INC # A8: 6 # D4: 6,9 => UNS
* INC # A8: 6 # D6: 6,9 => UNS
* INC # A8: 6 # E3: 6,9 => UNS
* INC # A8: 6 # E6: 6,9 => UNS
* INC # A8: 6 # F8: 3,4 => UNS
* INC # A8: 6 # F9: 3,4 => UNS
* INC # A8: 6 # C8: 3,4 => UNS
* INC # A8: 6 # C8: 5,8 => UNS
* INC # A8: 6 # D2: 3,4 => UNS
* INC # A8: 6 # D3: 3,4 => UNS
* INC # A8: 6 # F8: 4,7 => UNS
* INC # A8: 6 # F8: 3,5 => UNS
* INC # A8: 6 # E5: 4,7 => UNS
* INC # A8: 6 # E6: 4,7 => UNS
* INC # A8: 6 # F9: 2,4 => UNS
* INC # A8: 6 # F9: 3,5 => UNS
* INC # A8: 6 # E1: 2,4 => UNS
* INC # A8: 6 # E3: 2,4 => UNS
* INC # A8: 6 # E5: 2,4 => UNS
* INC # A8: 6 # E6: 2,4 => UNS
* INC # A8: 6 => UNS
* INC # B7: 6 # D3: 3,9 => UNS
* INC # B7: 6 # D3: 1,2,4,6 => UNS
* INC # B7: 6 # E6: 7,9 => UNS
* INC # B7: 6 # E6: 1,2,4,6,8 => UNS
* INC # B7: 6 => UNS
* CNT  34 HDP CHAINS /  34 HYP OPENED

Full list of HDP chains traversed for C8,B9: 4..:

* INC # C8: 4 # D7: 3,6 => UNS
* INC # C8: 4 # D7: 9 => UNS
* INC # C8: 4 # A8: 3,6 => UNS
* INC # C8: 4 # A8: 7,8 => UNS
* INC # C8: 4 # E7: 6,7 => UNS
* INC # C8: 4 # E7: 9 => UNS
* INC # C8: 4 # A8: 6,7 => UNS
* INC # C8: 4 # A8: 3,8 => UNS
* INC # C8: 4 # E1: 2,4 => UNS
* INC # C8: 4 # E3: 2,4 => UNS
* INC # C8: 4 # E5: 2,4 => UNS
* INC # C8: 4 # E6: 2,4 => UNS
* INC # C8: 4 # F1: 2,4 => UNS
* INC # C8: 4 # F2: 2,4 => UNS
* INC # C8: 4 # F3: 2,4 => UNS
* INC # C8: 4 # F5: 2,4 => UNS
* INC # C8: 4 # F6: 2,4 => UNS
* INC # C8: 4 # H7: 3,8 => UNS
* INC # C8: 4 # I7: 3,8 => UNS
* INC # C8: 4 # A8: 3,8 => UNS
* INC # C8: 4 # A8: 6,7 => UNS
* INC # C8: 4 # I2: 3,8 => UNS
* INC # C8: 4 # I2: 1,2,4 => UNS
* INC # C8: 4 => UNS
* INC # B9: 4 # F9: 2,7 => UNS
* INC # B9: 4 # F9: 3,5 => UNS
* INC # B9: 4 # E5: 2,7 => UNS
* INC # B9: 4 # E6: 2,7 => UNS
* INC # B9: 4 => UNS
* CNT  29 HDP CHAINS /  29 HYP OPENED

Full list of HDP chains traversed for F8,F9: 5..:

* INC # F9: 5 # D2: 1,4 => UNS
* INC # F9: 5 # D3: 1,4 => UNS
* INC # F9: 5 # E3: 1,4 => UNS
* INC # F9: 5 # C1: 1,4 => UNS
* INC # F9: 5 # H1: 1,4 => UNS
* INC # F9: 5 # I1: 1,4 => UNS
* INC # F9: 5 # E5: 1,4 => UNS
* INC # F9: 5 # E6: 1,4 => UNS
* INC # F9: 5 # B7: 3,7 => UNS
* INC # F9: 5 # A8: 3,7 => UNS
* INC # F9: 5 # H9: 3,7 => UNS
* INC # F9: 5 # H9: 1 => UNS
* INC # F9: 5 # A5: 3,7 => UNS
* INC # F9: 5 # A5: 1,8 => UNS
* INC # F9: 5 # H9: 1,7 => UNS
* INC # F9: 5 # H9: 3 => UNS
* DIS # F9: 5 # G4: 1,7 => CTR => G4: 2,5,8
* INC # F9: 5 + G4: 2,5,8 # G5: 1,7 => UNS
* INC # F9: 5 + G4: 2,5,8 # G5: 1,7 => UNS
* DIS # F9: 5 + G4: 2,5,8 # G5: 2,8 => CTR => G5: 1,7
* DIS # F9: 5 + G4: 2,5,8 + G5: 1,7 # H9: 1,7 => CTR => H9: 3
* INC # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 # D2: 1,4 => UNS
* DIS # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 # D3: 1,4 => CTR => D3: 2,3,6,9
* DIS # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 + D3: 2,3,6,9 # E3: 1,4 => CTR => E3: 6,8,9
* INC # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 + D3: 2,3,6,9 + E3: 6,8,9 # D2: 1,4 => UNS
* INC # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 + D3: 2,3,6,9 + E3: 6,8,9 # D2: 2,3,6 => UNS
* PRF # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 + D3: 2,3,6,9 + E3: 6,8,9 # C1: 1,4 => SOL
* STA # F9: 5 + G4: 2,5,8 + G5: 1,7 + H9: 3 + D3: 2,3,6,9 + E3: 6,8,9 + C1: 1,4
* CNT  27 HDP CHAINS /  28 HYP OPENED