Analysis of xx-ph-01001237-13_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7..5...8...4.6.7..8..9...3..2............19.85....73...9.3....5..8....7. initial

Autosolve

position: 98.7..6..7..5...8...4.6.7..8..9...3..29...........19.85....73...973..8.5..8....7. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000010

List of important HDP chains detected for F3,F5: 8..:

* DIS # F5: 8 # F8: 2,4 => CTR => F8: 6
* DIS # F5: 8 + F8: 6 # D6: 2 => CTR => D6: 4,6
* DIS # F5: 8 + F8: 6 + D6: 4,6 # I5: 4,6 => CTR => I5: 1,7
* DIS # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 # H1: 1,2 => CTR => H1: 4,5
* DIS # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # B6: 4,6 => CTR => B6: 3,5,7
* PRF # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 + B6: 3,5,7 # I4: 1,7 => SOL
* STA # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 + B6: 3,5,7 + I4: 1,7
* CNT   6 HDP CHAINS /  53 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...8...4.6.7..8..9...3..2............19.85....73...9.3....5..8....7. initial
98.7..6..7..5...8...4.6.7..8..9...3..29...........19.85....73...973..8.5..8....7. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A9,B9: 3.. / A9 = 3  =>  4 pairs (_) / B9 = 3  =>  2 pairs (_)
C1,B3: 5.. / C1 = 5  =>  8 pairs (_) / B3 = 5  =>  0 pairs (_)
H1,H3: 5.. / H1 = 5  =>  0 pairs (_) / H3 = 5  =>  8 pairs (_)
G4,G5: 5.. / G4 = 5  =>  2 pairs (_) / G5 = 5  =>  0 pairs (_)
E9,F9: 5.. / E9 = 5  =>  1 pairs (_) / F9 = 5  =>  0 pairs (_)
C1,H1: 5.. / C1 = 5  =>  8 pairs (_) / H1 = 5  =>  0 pairs (_)
B3,H3: 5.. / B3 = 5  =>  0 pairs (_) / H3 = 5  =>  8 pairs (_)
B2,C2: 6.. / B2 = 6  =>  1 pairs (_) / C2 = 6  =>  4 pairs (_)
B4,B6: 7.. / B4 = 7  =>  1 pairs (_) / B6 = 7  =>  0 pairs (_)
I4,I5: 7.. / I4 = 7  =>  2 pairs (_) / I5 = 7  =>  0 pairs (_)
E5,I5: 7.. / E5 = 7  =>  2 pairs (_) / I5 = 7  =>  0 pairs (_)
B6,E6: 7.. / B6 = 7  =>  0 pairs (_) / E6 = 7  =>  1 pairs (_)
D3,F3: 8.. / D3 = 8  =>  4 pairs (_) / F3 = 8  =>  1 pairs (_)
D7,E7: 8.. / D7 = 8  =>  2 pairs (_) / E7 = 8  =>  2 pairs (_)
E5,E7: 8.. / E5 = 8  =>  2 pairs (_) / E7 = 8  =>  2 pairs (_)
F3,F5: 8.. / F3 = 8  =>  1 pairs (_) / F5 = 8  =>  4 pairs (_)
H3,H7: 9.. / H3 = 9  =>  0 pairs (_) / H7 = 9  =>  2 pairs (_)
* DURATION: 0:00:14.278660  START: 06:53:43.630342  END: 06:53:57.909002 2021-01-08
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B3,H3: 5.. / B3 = 5 ==>  0 pairs (_) / H3 = 5 ==>  8 pairs (_)
C1,H1: 5.. / C1 = 5 ==>  8 pairs (_) / H1 = 5 ==>  0 pairs (_)
H1,H3: 5.. / H1 = 5 ==>  0 pairs (_) / H3 = 5 ==>  8 pairs (_)
C1,B3: 5.. / C1 = 5 ==>  8 pairs (_) / B3 = 5 ==>  0 pairs (_)
A9,B9: 3.. / A9 = 3 ==>  4 pairs (_) / B9 = 3 ==>  2 pairs (_)
F3,F5: 8.. / F3 = 8  =>  0 pairs (X) / F5 = 8 ==>  0 pairs (*)
* DURATION: 0:02:07.667296  START: 06:53:57.909866  END: 06:56:05.577162 2021-01-08
* REASONING F3,F5: 8..
* DIS # F5: 8 # F8: 2,4 => CTR => F8: 6
* DIS # F5: 8 + F8: 6 # D6: 2 => CTR => D6: 4,6
* DIS # F5: 8 + F8: 6 + D6: 4,6 # I5: 4,6 => CTR => I5: 1,7
* DIS # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 # H1: 1,2 => CTR => H1: 4,5
* DIS # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # B6: 4,6 => CTR => B6: 3,5,7
* PRF # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 + B6: 3,5,7 # I4: 1,7 => SOL
* STA # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 + B6: 3,5,7 + I4: 1,7
* CNT   6 HDP CHAINS /  53 HYP OPENED
* DCP COUNT: (6)
* SOLUTION FOUND

Header Info

1001237;13_07;GP;25;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B3,H3: 5..:

* INC # H3: 5 # B2: 1,3 => UNS
* INC # H3: 5 # C2: 1,3 => UNS
* INC # H3: 5 # A3: 1,3 => UNS
* INC # H3: 5 # I3: 1,3 => UNS
* INC # H3: 5 # I3: 2,9 => UNS
* INC # H3: 5 # B9: 1,3 => UNS
* INC # H3: 5 # B9: 4,6 => UNS
* INC # H3: 5 # E4: 5,7 => UNS
* INC # H3: 5 # E4: 2,4 => UNS
* INC # H3: 5 # A5: 1,6 => UNS
* INC # H3: 5 # A5: 4 => UNS
* INC # H3: 5 # I4: 1,6 => UNS
* INC # H3: 5 # I4: 2,4,7 => UNS
* INC # H3: 5 # C2: 1,6 => UNS
* INC # H3: 5 # C7: 1,6 => UNS
* INC # H3: 5 # A6: 3,6 => UNS
* INC # H3: 5 # A6: 4 => UNS
* INC # H3: 5 # C2: 3,6 => UNS
* INC # H3: 5 # C2: 1,2 => UNS
* INC # H3: 5 # E4: 5,7 => UNS
* INC # H3: 5 # E5: 5,7 => UNS
* INC # H3: 5 => UNS
* INC # B3: 5 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for C1,H1: 5..:

* INC # C1: 5 # B2: 1,3 => UNS
* INC # C1: 5 # C2: 1,3 => UNS
* INC # C1: 5 # A3: 1,3 => UNS
* INC # C1: 5 # I3: 1,3 => UNS
* INC # C1: 5 # I3: 2,9 => UNS
* INC # C1: 5 # B9: 1,3 => UNS
* INC # C1: 5 # B9: 4,6 => UNS
* INC # C1: 5 # E4: 5,7 => UNS
* INC # C1: 5 # E4: 2,4 => UNS
* INC # C1: 5 # A5: 1,6 => UNS
* INC # C1: 5 # A5: 4 => UNS
* INC # C1: 5 # I4: 1,6 => UNS
* INC # C1: 5 # I4: 2,4,7 => UNS
* INC # C1: 5 # C2: 1,6 => UNS
* INC # C1: 5 # C7: 1,6 => UNS
* INC # C1: 5 # A6: 3,6 => UNS
* INC # C1: 5 # A6: 4 => UNS
* INC # C1: 5 # C2: 3,6 => UNS
* INC # C1: 5 # C2: 1,2 => UNS
* INC # C1: 5 # E4: 5,7 => UNS
* INC # C1: 5 # E5: 5,7 => UNS
* INC # C1: 5 => UNS
* INC # H1: 5 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for H1,H3: 5..:

* INC # H3: 5 # B2: 1,3 => UNS
* INC # H3: 5 # C2: 1,3 => UNS
* INC # H3: 5 # A3: 1,3 => UNS
* INC # H3: 5 # I3: 1,3 => UNS
* INC # H3: 5 # I3: 2,9 => UNS
* INC # H3: 5 # B9: 1,3 => UNS
* INC # H3: 5 # B9: 4,6 => UNS
* INC # H3: 5 # E4: 5,7 => UNS
* INC # H3: 5 # E4: 2,4 => UNS
* INC # H3: 5 # A5: 1,6 => UNS
* INC # H3: 5 # A5: 4 => UNS
* INC # H3: 5 # I4: 1,6 => UNS
* INC # H3: 5 # I4: 2,4,7 => UNS
* INC # H3: 5 # C2: 1,6 => UNS
* INC # H3: 5 # C7: 1,6 => UNS
* INC # H3: 5 # A6: 3,6 => UNS
* INC # H3: 5 # A6: 4 => UNS
* INC # H3: 5 # C2: 3,6 => UNS
* INC # H3: 5 # C2: 1,2 => UNS
* INC # H3: 5 # E4: 5,7 => UNS
* INC # H3: 5 # E5: 5,7 => UNS
* INC # H3: 5 => UNS
* INC # H1: 5 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for C1,B3: 5..:

* INC # C1: 5 # B2: 1,3 => UNS
* INC # C1: 5 # C2: 1,3 => UNS
* INC # C1: 5 # A3: 1,3 => UNS
* INC # C1: 5 # I3: 1,3 => UNS
* INC # C1: 5 # I3: 2,9 => UNS
* INC # C1: 5 # B9: 1,3 => UNS
* INC # C1: 5 # B9: 4,6 => UNS
* INC # C1: 5 # E4: 5,7 => UNS
* INC # C1: 5 # E4: 2,4 => UNS
* INC # C1: 5 # A5: 1,6 => UNS
* INC # C1: 5 # A5: 4 => UNS
* INC # C1: 5 # I4: 1,6 => UNS
* INC # C1: 5 # I4: 2,4,7 => UNS
* INC # C1: 5 # C2: 1,6 => UNS
* INC # C1: 5 # C7: 1,6 => UNS
* INC # C1: 5 # A6: 3,6 => UNS
* INC # C1: 5 # A6: 4 => UNS
* INC # C1: 5 # C2: 3,6 => UNS
* INC # C1: 5 # C2: 1,2 => UNS
* INC # C1: 5 # E4: 5,7 => UNS
* INC # C1: 5 # E5: 5,7 => UNS
* INC # C1: 5 => UNS
* INC # B3: 5 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for A9,B9: 3..:

* INC # A9: 3 # C1: 1,2 => UNS
* INC # A9: 3 # C2: 1,2 => UNS
* INC # A9: 3 # D3: 1,2 => UNS
* INC # A9: 3 # H3: 1,2 => UNS
* INC # A9: 3 # I3: 1,2 => UNS
* INC # A9: 3 # A8: 1,2 => UNS
* INC # A9: 3 # A8: 4,6 => UNS
* INC # A9: 3 # B4: 4,6 => UNS
* INC # A9: 3 # A5: 4,6 => UNS
* INC # A9: 3 # D6: 4,6 => UNS
* INC # A9: 3 # H6: 4,6 => UNS
* INC # A9: 3 # A8: 4,6 => UNS
* INC # A9: 3 # A8: 1,2 => UNS
* INC # A9: 3 # B6: 3,5 => UNS
* INC # A9: 3 # B6: 7 => UNS
* INC # A9: 3 # C1: 3,5 => UNS
* INC # A9: 3 # C1: 1,2 => UNS
* INC # A9: 3 # E4: 5,7 => UNS
* INC # A9: 3 # E5: 5,7 => UNS
* INC # A9: 3 # B6: 5,7 => UNS
* INC # A9: 3 # B6: 3 => UNS
* INC # A9: 3 => UNS
* INC # B9: 3 # C2: 1,6 => UNS
* INC # B9: 3 # C2: 2,3 => UNS
* INC # B9: 3 # B4: 1,6 => UNS
* INC # B9: 3 # B7: 1,6 => UNS
* INC # B9: 3 # C1: 1,5 => UNS
* INC # B9: 3 # C1: 2,3 => UNS
* INC # B9: 3 # H3: 1,5 => UNS
* INC # B9: 3 # H3: 2,9 => UNS
* INC # B9: 3 # B4: 1,5 => UNS
* INC # B9: 3 # B4: 4,6,7 => UNS
* INC # B9: 3 => UNS
* CNT  33 HDP CHAINS /  33 HYP OPENED

Full list of HDP chains traversed for F3,F5: 8..:

* INC # F5: 8 # F4: 4,6 => UNS
* INC # F5: 8 # D6: 4,6 => UNS
* INC # F5: 8 # A5: 4,6 => UNS
* INC # F5: 8 # H5: 4,6 => UNS
* INC # F5: 8 # I5: 4,6 => UNS
* INC # F5: 8 # D7: 4,6 => UNS
* INC # F5: 8 # D9: 4,6 => UNS
* INC # F5: 8 # D7: 2,4 => UNS
* DIS # F5: 8 # F8: 2,4 => CTR => F8: 6
* INC # F5: 8 + F8: 6 # D9: 2,4 => UNS
* INC # F5: 8 + F8: 6 # A8: 2,4 => UNS
* INC # F5: 8 + F8: 6 # H8: 2,4 => UNS
* INC # F5: 8 + F8: 6 # E1: 2,4 => UNS
* INC # F5: 8 + F8: 6 # E2: 2,4 => UNS
* INC # F5: 8 + F8: 6 # E4: 2,4 => UNS
* INC # F5: 8 + F8: 6 # E6: 2,4 => UNS
* INC # F5: 8 + F8: 6 # D7: 2,4 => UNS
* INC # F5: 8 + F8: 6 # D9: 2,4 => UNS
* INC # F5: 8 + F8: 6 # A8: 2,4 => UNS
* INC # F5: 8 + F8: 6 # H8: 2,4 => UNS
* INC # F5: 8 + F8: 6 # E1: 2,4 => UNS
* INC # F5: 8 + F8: 6 # E2: 2,4 => UNS
* INC # F5: 8 + F8: 6 # E4: 2,4 => UNS
* INC # F5: 8 + F8: 6 # E6: 2,4 => UNS
* INC # F5: 8 + F8: 6 # D6: 4,6 => UNS
* DIS # F5: 8 + F8: 6 # D6: 2 => CTR => D6: 4,6
* INC # F5: 8 + F8: 6 + D6: 4,6 # A5: 4,6 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 # H5: 4,6 => UNS
* DIS # F5: 8 + F8: 6 + D6: 4,6 # I5: 4,6 => CTR => I5: 1,7
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 # A5: 4,6 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 # H5: 4,6 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 # E2: 1,2 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 # E2: 9 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 # C1: 1,2 => UNS
* DIS # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 # H1: 1,2 => CTR => H1: 4,5
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # I1: 1,2 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # E2: 1,2 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # E2: 9 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # C1: 1,2 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # I1: 1,2 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # E4: 2,5 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # E6: 2,5 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # G4: 2,5 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # G4: 1,4 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # A5: 4,6 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # H5: 4,6 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # A6: 4,6 => UNS
* DIS # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 # B6: 4,6 => CTR => B6: 3,5,7
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 + B6: 3,5,7 # H6: 4,6 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 + B6: 3,5,7 # A6: 4,6 => UNS
* INC # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 + B6: 3,5,7 # H6: 4,6 => UNS
* PRF # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 + B6: 3,5,7 # I4: 1,7 => SOL
* STA # F5: 8 + F8: 6 + D6: 4,6 + I5: 1,7 + H1: 4,5 + B6: 3,5,7 + I4: 1,7
* CNT  52 HDP CHAINS /  53 HYP OPENED