Analysis of xx-ph-00038236-12_07-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7.......6.5.9.......9.4.6...8.5...3...5..2..51....4.6..9.3....3..7......2...1. initial

Autosolve

position: 98.7.......6.5.9.......9.4.6...8.5...3...5..2..51....4.6..9.3....3..7......2...1. 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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000012

List of important HDP chains detected for D4,D5: 9..:

* DIS # D4: 9 # H6: 3,7 => CTR => H6: 6,8,9
* CNT   1 HDP CHAINS /  24 HYP OPENED

List of important HDP chains detected for E5,E6: 7..:

* DIS # E6: 7 # B4: 2,9 => CTR => B4: 1,4,7
* CNT   1 HDP CHAINS /  38 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:37.270259

List of important HDP chains detected for B6,H6: 9..:

* PRF # H6: 9 # B4: 2,7 # A3: 1,5 => SOL
* STA # H6: 9 # B4: 2,7 + A3: 1,5
* CNT   1 HDP CHAINS /  26 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Details

This sudoku is very deep. Here is some information that may be helpful on how to proceed.

Positions

98.7.......6.5.9.......9.4.6...8.5...3...5..2..51....4.6..9.3....3..7......2...1. initial
98.7.......6.5.9.......9.4.6...8.5...3...5..2..51....4.6..9.3....3..7......2...1. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I4,G5: 1.. / I4 = 1  =>  0 pairs (_) / G5 = 1  =>  1 pairs (_)
F7,E8: 1.. / F7 = 1  =>  1 pairs (_) / E8 = 1  =>  1 pairs (_)
A2,A3: 3.. / A2 = 3  =>  1 pairs (_) / A3 = 3  =>  1 pairs (_)
E9,F9: 3.. / E9 = 3  =>  0 pairs (_) / F9 = 3  =>  3 pairs (_)
G8,G9: 4.. / G8 = 4  =>  1 pairs (_) / G9 = 4  =>  1 pairs (_)
A3,B3: 5.. / A3 = 5  =>  1 pairs (_) / B3 = 5  =>  0 pairs (_)
H1,I1: 5.. / H1 = 5  =>  0 pairs (_) / I1 = 5  =>  1 pairs (_)
D7,D8: 5.. / D7 = 5  =>  1 pairs (_) / D8 = 5  =>  1 pairs (_)
E5,E6: 7.. / E5 = 7  =>  0 pairs (_) / E6 = 7  =>  4 pairs (_)
D4,D5: 9.. / D4 = 9  =>  4 pairs (_) / D5 = 9  =>  1 pairs (_)
B6,H6: 9.. / B6 = 9  =>  0 pairs (_) / H6 = 9  =>  6 pairs (_)
* DURATION: 0:00:10.110267  START: 04:58:58.976952  END: 04:59:09.087219 2020-12-17
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B6,H6: 9.. / B6 = 9 ==>  0 pairs (_) / H6 = 9 ==>  6 pairs (_)
D4,D5: 9.. / D4 = 9 ==>  5 pairs (_) / D5 = 9 ==>  1 pairs (_)
E5,E6: 7.. / E5 = 7 ==>  0 pairs (_) / E6 = 7 ==>  4 pairs (_)
E9,F9: 3.. / E9 = 3 ==>  0 pairs (_) / F9 = 3 ==>  3 pairs (_)
D7,D8: 5.. / D7 = 5 ==>  1 pairs (_) / D8 = 5 ==>  1 pairs (_)
G8,G9: 4.. / G8 = 4 ==>  1 pairs (_) / G9 = 4 ==>  1 pairs (_)
A2,A3: 3.. / A2 = 3 ==>  1 pairs (_) / A3 = 3 ==>  1 pairs (_)
F7,E8: 1.. / F7 = 1 ==>  1 pairs (_) / E8 = 1 ==>  1 pairs (_)
H1,I1: 5.. / H1 = 5 ==>  0 pairs (_) / I1 = 5 ==>  1 pairs (_)
A3,B3: 5.. / A3 = 5 ==>  1 pairs (_) / B3 = 5 ==>  0 pairs (_)
I4,G5: 1.. / I4 = 1 ==>  0 pairs (_) / G5 = 1 ==>  1 pairs (_)
* DURATION: 0:01:41.681275  START: 04:59:09.088169  END: 05:00:50.769444 2020-12-17
* REASONING D4,D5: 9..
* DIS # D4: 9 # H6: 3,7 => CTR => H6: 6,8,9
* CNT   1 HDP CHAINS /  24 HYP OPENED
* REASONING E5,E6: 7..
* DIS # E6: 7 # B4: 2,9 => CTR => B4: 1,4,7
* CNT   1 HDP CHAINS /  38 HYP OPENED
* DCP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
B6,H6: 9.. / B6 = 9  =>  0 pairs (X) / H6 = 9 ==>  0 pairs (*)
* DURATION: 0:00:37.269064  START: 05:00:50.892780  END: 05:01:28.161844 2020-12-17
* REASONING B6,H6: 9..
* PRF # H6: 9 # B4: 2,7 # A3: 1,5 => SOL
* STA # H6: 9 # B4: 2,7 + A3: 1,5
* CNT   1 HDP CHAINS /  26 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

38236;12_07;GP;24;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B6,H6: 9..:

* INC # H6: 9 # B4: 2,7 => UNS
* INC # H6: 9 # C4: 2,7 => UNS
* INC # H6: 9 # A6: 2,7 => UNS
* INC # H6: 9 # E6: 2,7 => UNS
* INC # H6: 9 # E6: 3,6 => UNS
* INC # H6: 9 # B2: 2,7 => UNS
* INC # H6: 9 # B3: 2,7 => UNS
* INC # H6: 9 # D5: 4,9 => UNS
* INC # H6: 9 # D5: 6 => UNS
* INC # H6: 9 # B4: 4,9 => UNS
* INC # H6: 9 # C4: 4,9 => UNS
* INC # H6: 9 # B4: 2,4 => UNS
* INC # H6: 9 # C4: 2,4 => UNS
* INC # H6: 9 # F1: 2,4 => UNS
* INC # H6: 9 # F2: 2,4 => UNS
* INC # H6: 9 # I4: 3,7 => UNS
* INC # H6: 9 # I4: 1 => UNS
* INC # H6: 9 => UNS
* INC # B6: 9 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for D4,D5: 9..:

* INC # D4: 9 # E5: 4,6 => UNS
* INC # D4: 9 # E5: 7 => UNS
* INC # D4: 9 # D8: 4,6 => UNS
* INC # D4: 9 # D8: 5,8 => UNS
* INC # D4: 9 # I4: 3,7 => UNS
* DIS # D4: 9 # H6: 3,7 => CTR => H6: 6,8,9
* INC # D4: 9 + H6: 6,8,9 # I4: 3,7 => UNS
* INC # D4: 9 + H6: 6,8,9 # I4: 1 => UNS
* INC # D4: 9 + H6: 6,8,9 # B4: 2,4 => UNS
* INC # D4: 9 + H6: 6,8,9 # C4: 2,4 => UNS
* INC # D4: 9 + H6: 6,8,9 # F1: 2,4 => UNS
* INC # D4: 9 + H6: 6,8,9 # F2: 2,4 => UNS
* INC # D4: 9 + H6: 6,8,9 # E5: 4,6 => UNS
* INC # D4: 9 + H6: 6,8,9 # E5: 7 => UNS
* INC # D4: 9 + H6: 6,8,9 # D8: 4,6 => UNS
* INC # D4: 9 + H6: 6,8,9 # D8: 5,8 => UNS
* INC # D4: 9 + H6: 6,8,9 # I4: 3,7 => UNS
* INC # D4: 9 + H6: 6,8,9 # I4: 1 => UNS
* INC # D4: 9 + H6: 6,8,9 => UNS
* INC # D5: 9 # F4: 3,4 => UNS
* INC # D5: 9 # F4: 2 => UNS
* INC # D5: 9 # D2: 3,4 => UNS
* INC # D5: 9 # D2: 8 => UNS
* INC # D5: 9 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for E5,E6: 7..:

* INC # E6: 7 # A7: 2,8 => UNS
* INC # E6: 7 # A8: 2,8 => UNS
* DIS # E6: 7 # B4: 2,9 => CTR => B4: 1,4,7
* INC # E6: 7 + B4: 1,4,7 # C4: 2,9 => UNS
* INC # E6: 7 + B4: 1,4,7 # C4: 2,9 => UNS
* INC # E6: 7 + B4: 1,4,7 # C4: 1,4,7 => UNS
* INC # E6: 7 + B4: 1,4,7 # B8: 2,9 => UNS
* INC # E6: 7 + B4: 1,4,7 # B8: 1,4,5 => UNS
* INC # E6: 7 + B4: 1,4,7 # D5: 4,6 => UNS
* INC # E6: 7 + B4: 1,4,7 # D5: 9 => UNS
* INC # E6: 7 + B4: 1,4,7 # E1: 4,6 => UNS
* INC # E6: 7 + B4: 1,4,7 # E8: 4,6 => UNS
* INC # E6: 7 + B4: 1,4,7 # E9: 4,6 => UNS
* INC # E6: 7 + B4: 1,4,7 # G5: 6,8 => UNS
* INC # E6: 7 + B4: 1,4,7 # H5: 6,8 => UNS
* INC # E6: 7 + B4: 1,4,7 # H6: 6,8 => UNS
* INC # E6: 7 + B4: 1,4,7 # G3: 6,8 => UNS
* INC # E6: 7 + B4: 1,4,7 # G8: 6,8 => UNS
* INC # E6: 7 + B4: 1,4,7 # G9: 6,8 => UNS
* INC # E6: 7 + B4: 1,4,7 # A7: 2,8 => UNS
* INC # E6: 7 + B4: 1,4,7 # A8: 2,8 => UNS
* INC # E6: 7 + B4: 1,4,7 # C4: 2,9 => UNS
* INC # E6: 7 + B4: 1,4,7 # C4: 1,4,7 => UNS
* INC # E6: 7 + B4: 1,4,7 # B8: 2,9 => UNS
* INC # E6: 7 + B4: 1,4,7 # B8: 1,4,5 => UNS
* INC # E6: 7 + B4: 1,4,7 # D5: 4,6 => UNS
* INC # E6: 7 + B4: 1,4,7 # D5: 9 => UNS
* INC # E6: 7 + B4: 1,4,7 # E1: 4,6 => UNS
* INC # E6: 7 + B4: 1,4,7 # E8: 4,6 => UNS
* INC # E6: 7 + B4: 1,4,7 # E9: 4,6 => UNS
* INC # E6: 7 + B4: 1,4,7 # G5: 6,8 => UNS
* INC # E6: 7 + B4: 1,4,7 # H5: 6,8 => UNS
* INC # E6: 7 + B4: 1,4,7 # H6: 6,8 => UNS
* INC # E6: 7 + B4: 1,4,7 # G3: 6,8 => UNS
* INC # E6: 7 + B4: 1,4,7 # G8: 6,8 => UNS
* INC # E6: 7 + B4: 1,4,7 # G9: 6,8 => UNS
* INC # E6: 7 + B4: 1,4,7 => UNS
* INC # E5: 7 => UNS
* CNT  38 HDP CHAINS /  38 HYP OPENED

Full list of HDP chains traversed for E9,F9: 3..:

* INC # F9: 3 # B4: 2,4 => UNS
* INC # F9: 3 # C4: 2,4 => UNS
* INC # F9: 3 # F1: 2,4 => UNS
* INC # F9: 3 # F2: 2,4 => UNS
* INC # F9: 3 # E6: 2,6 => UNS
* INC # F9: 3 # E6: 3,7 => UNS
* INC # F9: 3 # F1: 2,6 => UNS
* INC # F9: 3 # F1: 1,4 => UNS
* INC # F9: 3 # D8: 4,6 => UNS
* INC # F9: 3 # E8: 4,6 => UNS
* INC # F9: 3 # G9: 4,6 => UNS
* INC # F9: 3 # G9: 7,8 => UNS
* INC # F9: 3 # E1: 4,6 => UNS
* INC # F9: 3 # E5: 4,6 => UNS
* INC # F9: 3 => UNS
* INC # E9: 3 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for D7,D8: 5..:

* INC # D7: 5 # H7: 7,8 => UNS
* INC # D7: 5 # G9: 7,8 => UNS
* INC # D7: 5 # I9: 7,8 => UNS
* INC # D7: 5 # A7: 7,8 => UNS
* INC # D7: 5 # C7: 7,8 => UNS
* INC # D7: 5 # I2: 7,8 => UNS
* INC # D7: 5 # I3: 7,8 => UNS
* INC # D7: 5 => UNS
* INC # D8: 5 # F7: 4,8 => UNS
* INC # D8: 5 # F9: 4,8 => UNS
* INC # D8: 5 # A7: 4,8 => UNS
* INC # D8: 5 # C7: 4,8 => UNS
* INC # D8: 5 # D2: 4,8 => UNS
* INC # D8: 5 # D2: 3 => UNS
* INC # D8: 5 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for G8,G9: 4..:

* INC # G8: 4 # E1: 1,6 => UNS
* INC # G8: 4 # E3: 1,6 => UNS
* INC # G8: 4 => UNS
* INC # G9: 4 # F9: 3,6 => UNS
* INC # G9: 4 # F9: 8 => UNS
* INC # G9: 4 # E1: 3,6 => UNS
* INC # G9: 4 # E3: 3,6 => UNS
* INC # G9: 4 # E6: 3,6 => UNS
* INC # G9: 4 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for A2,A3: 3..:

* INC # A2: 3 # F2: 4,8 => UNS
* INC # A2: 3 # F2: 1,2 => UNS
* INC # A2: 3 # D7: 4,8 => UNS
* INC # A2: 3 # D8: 4,8 => UNS
* INC # A2: 3 => UNS
* INC # A3: 3 # G3: 6,8 => UNS
* INC # A3: 3 # I3: 6,8 => UNS
* INC # A3: 3 # D8: 6,8 => UNS
* INC # A3: 3 # D8: 4,5 => UNS
* INC # A3: 3 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for F7,E8: 1..:

* INC # F7: 1 # D8: 4,6 => UNS
* INC # F7: 1 # E9: 4,6 => UNS
* INC # F7: 1 # F9: 4,6 => UNS
* INC # F7: 1 # G8: 4,6 => UNS
* INC # F7: 1 # G8: 2,8 => UNS
* INC # F7: 1 # E1: 4,6 => UNS
* INC # F7: 1 # E5: 4,6 => UNS
* INC # F7: 1 => UNS
* INC # E8: 1 # D7: 4,8 => UNS
* INC # E8: 1 # D8: 4,8 => UNS
* INC # E8: 1 # F9: 4,8 => UNS
* INC # E8: 1 # A7: 4,8 => UNS
* INC # E8: 1 # C7: 4,8 => UNS
* INC # E8: 1 # F2: 4,8 => UNS
* INC # E8: 1 # F2: 1,2,3 => UNS
* INC # E8: 1 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for H1,I1: 5..:

* INC # I1: 5 # H7: 7,8 => UNS
* INC # I1: 5 # G9: 7,8 => UNS
* INC # I1: 5 # I9: 7,8 => UNS
* INC # I1: 5 # A7: 7,8 => UNS
* INC # I1: 5 # C7: 7,8 => UNS
* INC # I1: 5 # I2: 7,8 => UNS
* INC # I1: 5 # I3: 7,8 => UNS
* INC # I1: 5 => UNS
* INC # H1: 5 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for A3,B3: 5..:

* INC # A3: 5 # F2: 4,8 => UNS
* INC # A3: 5 # F2: 1,2 => UNS
* INC # A3: 5 # D7: 4,8 => UNS
* INC # A3: 5 # D8: 4,8 => UNS
* INC # A3: 5 => UNS
* INC # B3: 5 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for I4,G5: 1..:

* INC # G5: 1 # H1: 2,6 => UNS
* INC # G5: 1 # G3: 2,6 => UNS
* INC # G5: 1 # E1: 2,6 => UNS
* INC # G5: 1 # F1: 2,6 => UNS
* INC # G5: 1 # G8: 2,6 => UNS
* INC # G5: 1 # G8: 4,8 => UNS
* INC # G5: 1 => UNS
* INC # I4: 1 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for B6,H6: 9..:

* INC # H6: 9 # B4: 2,7 => UNS
* INC # H6: 9 # C4: 2,7 => UNS
* INC # H6: 9 # A6: 2,7 => UNS
* INC # H6: 9 # E6: 2,7 => UNS
* INC # H6: 9 # E6: 3,6 => UNS
* INC # H6: 9 # B2: 2,7 => UNS
* INC # H6: 9 # B3: 2,7 => UNS
* INC # H6: 9 # D5: 4,9 => UNS
* INC # H6: 9 # D5: 6 => UNS
* INC # H6: 9 # B4: 4,9 => UNS
* INC # H6: 9 # C4: 4,9 => UNS
* INC # H6: 9 # B4: 2,4 => UNS
* INC # H6: 9 # C4: 2,4 => UNS
* INC # H6: 9 # F1: 2,4 => UNS
* INC # H6: 9 # F2: 2,4 => UNS
* INC # H6: 9 # I4: 3,7 => UNS
* INC # H6: 9 # I4: 1 => UNS
* INC # H6: 9 # B4: 2,7 # C1: 1,4 => UNS
* INC # H6: 9 # B4: 2,7 # A2: 1,4 => UNS
* INC # H6: 9 # B4: 2,7 # F2: 1,4 => UNS
* INC # H6: 9 # B4: 2,7 # F2: 2,8 => UNS
* INC # H6: 9 # B4: 2,7 # B8: 1,4 => UNS
* INC # H6: 9 # B4: 2,7 # B8: 5,9 => UNS
* PRF # H6: 9 # B4: 2,7 # A3: 1,5 => SOL
* STA # H6: 9 # B4: 2,7 + A3: 1,5
* CNT  24 HDP CHAINS /  26 HYP OPENED