Analysis of xx-ph-00247977-12_12_03-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: ........1.....2..3...45..6...1..3....6.57....75..8......6....8...9...3.2.7.8...4. initial

Autosolve

position: ........1.....2..3...45..6...1..3....6.57....75..8......6....8...9...3.2.7.8...4. 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

Time used: 0:00:00.000007

List of important HDP chains detected for A8,B8: 8..:

* DIS # A8: 8 # F8: 1,4 => CTR => F8: 5,6,7
* CNT   1 HDP CHAINS /  22 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: 0:00:30.998581

List of important HDP chains detected for F1,F3: 8..:

* DIS # F3: 8 # A1: 4,8 # B2: 4,8 => CTR => B2: 9
* DIS # F3: 8 # A1: 4,8 + B2: 9 => CTR => A1: 2,5,6,9
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 # A2: 4,8 => CTR => A2: 5,6,9
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 # B2: 4,8 => CTR => B2: 9
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 # B4: 4,8 => CTR => B4: 2
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 # B8: 1 => CTR => B8: 4,8
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 + B8: 4,8 # G3: 7,9 => CTR => G3: 2
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 + B8: 4,8 + G3: 2 => CTR => B1: 2,9
* DIS # F3: 8 + A1: 2,5,6,9 + B1: 2,9 # A1: 2,9 => CTR => A1: 5,6
* PRF # F3: 8 + A1: 2,5,6,9 + B1: 2,9 + A1: 5,6 # A3: 2,9 => SOL
* STA # F3: 8 + A1: 2,5,6,9 + B1: 2,9 + A1: 5,6 + A3: 2,9
* CNT  10 HDP CHAINS /  42 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

........1.....2..3...45..6...1..3....6.57....75..8......6....8...9...3.2.7.8...4. initial
........1.....2..3...45..6...1..3....6.57....75..8......6....8...9...3.2.7.8...4. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D1,E1: 3.. / D1 = 3  =>  1 pairs (_) / E1 = 3  =>  0 pairs (_)
H5,H6: 3.. / H5 = 3  =>  1 pairs (_) / H6 = 3  =>  1 pairs (_)
C6,H6: 3.. / C6 = 3  =>  1 pairs (_) / H6 = 3  =>  1 pairs (_)
B3,B7: 3.. / B3 = 3  =>  0 pairs (_) / B7 = 3  =>  2 pairs (_)
D1,D7: 3.. / D1 = 3  =>  1 pairs (_) / D7 = 3  =>  0 pairs (_)
G1,G2: 4.. / G1 = 4  =>  0 pairs (_) / G2 = 4  =>  0 pairs (_)
A1,A2: 6.. / A1 = 6  =>  1 pairs (_) / A2 = 6  =>  1 pairs (_)
G9,I9: 6.. / G9 = 6  =>  1 pairs (_) / I9 = 6  =>  1 pairs (_)
F1,F3: 8.. / F1 = 8  =>  0 pairs (_) / F3 = 8  =>  4 pairs (_)
A8,B8: 8.. / A8 = 8  =>  1 pairs (_) / B8 = 8  =>  0 pairs (_)
* DURATION: 0:00:06.565954  START: 09:23:35.346347  END: 09:23:41.912301 2020-10-01
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F1,F3: 8.. / F1 = 8 ==>  0 pairs (_) / F3 = 8 ==>  4 pairs (_)
B3,B7: 3.. / B3 = 3 ==>  0 pairs (_) / B7 = 3 ==>  2 pairs (_)
G9,I9: 6.. / G9 = 6 ==>  1 pairs (_) / I9 = 6 ==>  1 pairs (_)
A1,A2: 6.. / A1 = 6 ==>  1 pairs (_) / A2 = 6 ==>  1 pairs (_)
C6,H6: 3.. / C6 = 3 ==>  1 pairs (_) / H6 = 3 ==>  1 pairs (_)
H5,H6: 3.. / H5 = 3 ==>  1 pairs (_) / H6 = 3 ==>  1 pairs (_)
A8,B8: 8.. / A8 = 8 ==>  1 pairs (_) / B8 = 8 ==>  0 pairs (_)
D1,D7: 3.. / D1 = 3 ==>  1 pairs (_) / D7 = 3 ==>  0 pairs (_)
D1,E1: 3.. / D1 = 3 ==>  1 pairs (_) / E1 = 3 ==>  0 pairs (_)
G1,G2: 4.. / G1 = 4 ==>  0 pairs (_) / G2 = 4 ==>  0 pairs (_)
* DURATION: 0:00:57.470903  START: 09:23:41.912918  END: 09:24:39.383821 2020-10-01
* REASONING A8,B8: 8..
* DIS # A8: 8 # F8: 1,4 => CTR => F8: 5,6,7
* CNT   1 HDP CHAINS /  22 HYP OPENED
* DCP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
F1,F3: 8.. / F1 = 8  =>  0 pairs (X) / F3 = 8 ==>  0 pairs (*)
* DURATION: 0:00:30.996055  START: 09:24:39.505496  END: 09:25:10.501551 2020-10-01
* REASONING F1,F3: 8..
* DIS # F3: 8 # A1: 4,8 # B2: 4,8 => CTR => B2: 9
* DIS # F3: 8 # A1: 4,8 + B2: 9 => CTR => A1: 2,5,6,9
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 # A2: 4,8 => CTR => A2: 5,6,9
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 # B2: 4,8 => CTR => B2: 9
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 # B4: 4,8 => CTR => B4: 2
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 # B8: 1 => CTR => B8: 4,8
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 + B8: 4,8 # G3: 7,9 => CTR => G3: 2
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 + B8: 4,8 + G3: 2 => CTR => B1: 2,9
* DIS # F3: 8 + A1: 2,5,6,9 + B1: 2,9 # A1: 2,9 => CTR => A1: 5,6
* PRF # F3: 8 + A1: 2,5,6,9 + B1: 2,9 + A1: 5,6 # A3: 2,9 => SOL
* STA # F3: 8 + A1: 2,5,6,9 + B1: 2,9 + A1: 5,6 + A3: 2,9
* CNT  10 HDP CHAINS /  42 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

247977;12_12_03;dob;22;11.50;11.50;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F1,F3: 8..:

* INC # F3: 8 # A1: 4,8 => UNS
* INC # F3: 8 # B1: 4,8 => UNS
* INC # F3: 8 # C1: 4,8 => UNS
* INC # F3: 8 # A2: 4,8 => UNS
* INC # F3: 8 # B2: 4,8 => UNS
* INC # F3: 8 # C2: 4,8 => UNS
* INC # F3: 8 # H1: 7,9 => UNS
* INC # F3: 8 # H2: 7,9 => UNS
* INC # F3: 8 # G3: 7,9 => UNS
* INC # F3: 8 # I4: 7,9 => UNS
* INC # F3: 8 # I7: 7,9 => UNS
* INC # F3: 8 # G7: 1,7 => UNS
* INC # F3: 8 # G7: 5,9 => UNS
* INC # F3: 8 # D8: 1,7 => UNS
* INC # F3: 8 # F8: 1,7 => UNS
* INC # F3: 8 => UNS
* INC # F1: 8 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for B3,B7: 3..:

* INC # B7: 3 # F1: 6,9 => UNS
* INC # B7: 3 # D2: 6,9 => UNS
* INC # B7: 3 # E2: 6,9 => UNS
* INC # B7: 3 # A1: 6,9 => UNS
* INC # B7: 3 # A1: 2,4,5,8 => UNS
* INC # B7: 3 # E4: 6,9 => UNS
* INC # B7: 3 # E4: 2,4 => UNS
* INC # B7: 3 # A9: 2,5 => UNS
* INC # B7: 3 # A9: 1 => UNS
* INC # B7: 3 # C1: 2,5 => UNS
* INC # B7: 3 # C1: 4,7,8 => UNS
* INC # B7: 3 => UNS
* INC # B3: 3 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for G9,I9: 6..:

* INC # G9: 6 # G7: 5,9 => UNS
* INC # G9: 6 # I7: 5,9 => UNS
* INC # G9: 6 # F9: 5,9 => UNS
* INC # G9: 6 # F9: 1 => UNS
* INC # G9: 6 # I4: 5,9 => UNS
* INC # G9: 6 # I4: 4,6,7,8 => UNS
* INC # G9: 6 => UNS
* INC # I9: 6 # I4: 4,9 => UNS
* INC # I9: 6 # I5: 4,9 => UNS
* INC # I9: 6 # F6: 4,9 => UNS
* INC # I9: 6 # F6: 1,6 => UNS
* INC # I9: 6 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for A1,A2: 6..:

* INC # A1: 6 # D1: 3,9 => UNS
* INC # A1: 6 # D1: 7 => UNS
* INC # A1: 6 # E7: 3,9 => UNS
* INC # A1: 6 # E9: 3,9 => UNS
* INC # A1: 6 => UNS
* INC # A2: 6 # D2: 1,9 => UNS
* INC # A2: 6 # F3: 1,9 => UNS
* INC # A2: 6 # B2: 1,9 => UNS
* INC # A2: 6 # B2: 4,8 => UNS
* INC # A2: 6 # E7: 1,9 => UNS
* INC # A2: 6 # E9: 1,9 => UNS
* INC # A2: 6 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for C6,H6: 3..:

* INC # C6: 3 # A7: 2,5 => UNS
* INC # C6: 3 # A9: 2,5 => UNS
* INC # C6: 3 # C1: 2,5 => UNS
* INC # C6: 3 # C1: 4,7,8 => UNS
* INC # C6: 3 => UNS
* INC # H6: 3 # A4: 2,4 => UNS
* INC # H6: 3 # B4: 2,4 => UNS
* INC # H6: 3 # A5: 2,4 => UNS
* INC # H6: 3 # C5: 2,4 => UNS
* INC # H6: 3 # C1: 2,4 => UNS
* INC # H6: 3 # C1: 5,7,8 => UNS
* INC # H6: 3 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for H5,H6: 3..:

* INC # H5: 3 # A7: 2,5 => UNS
* INC # H5: 3 # A9: 2,5 => UNS
* INC # H5: 3 # C1: 2,5 => UNS
* INC # H5: 3 # C1: 4,7,8 => UNS
* INC # H5: 3 => UNS
* INC # H6: 3 # A4: 2,4 => UNS
* INC # H6: 3 # B4: 2,4 => UNS
* INC # H6: 3 # A5: 2,4 => UNS
* INC # H6: 3 # C5: 2,4 => UNS
* INC # H6: 3 # C1: 2,4 => UNS
* INC # H6: 3 # C1: 5,7,8 => UNS
* INC # H6: 3 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for A8,B8: 8..:

* INC # A8: 8 # A7: 1,4 => UNS
* INC # A8: 8 # B7: 1,4 => UNS
* INC # A8: 8 # E8: 1,4 => UNS
* DIS # A8: 8 # F8: 1,4 => CTR => F8: 5,6,7
* INC # A8: 8 + F8: 5,6,7 # E8: 1,4 => UNS
* INC # A8: 8 + F8: 5,6,7 # E8: 6 => UNS
* INC # A8: 8 + F8: 5,6,7 # B2: 1,4 => UNS
* INC # A8: 8 + F8: 5,6,7 # B2: 8,9 => UNS
* INC # A8: 8 + F8: 5,6,7 # A7: 1,4 => UNS
* INC # A8: 8 + F8: 5,6,7 # B7: 1,4 => UNS
* INC # A8: 8 + F8: 5,6,7 # E8: 1,4 => UNS
* INC # A8: 8 + F8: 5,6,7 # E8: 6 => UNS
* INC # A8: 8 + F8: 5,6,7 # B2: 1,4 => UNS
* INC # A8: 8 + F8: 5,6,7 # B2: 8,9 => UNS
* INC # A8: 8 + F8: 5,6,7 # A7: 1,4 => UNS
* INC # A8: 8 + F8: 5,6,7 # B7: 1,4 => UNS
* INC # A8: 8 + F8: 5,6,7 # E8: 1,4 => UNS
* INC # A8: 8 + F8: 5,6,7 # E8: 6 => UNS
* INC # A8: 8 + F8: 5,6,7 # B2: 1,4 => UNS
* INC # A8: 8 + F8: 5,6,7 # B2: 8,9 => UNS
* INC # A8: 8 + F8: 5,6,7 => UNS
* INC # B8: 8 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for D1,D7: 3..:

* INC # D1: 3 # F1: 6,9 => UNS
* INC # D1: 3 # D2: 6,9 => UNS
* INC # D1: 3 # E2: 6,9 => UNS
* INC # D1: 3 # A1: 6,9 => UNS
* INC # D1: 3 # A1: 2,4,5,8 => UNS
* INC # D1: 3 # E4: 6,9 => UNS
* INC # D1: 3 # E4: 2,4 => UNS
* INC # D1: 3 => UNS
* INC # D7: 3 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for D1,E1: 3..:

* INC # D1: 3 # F1: 6,9 => UNS
* INC # D1: 3 # D2: 6,9 => UNS
* INC # D1: 3 # E2: 6,9 => UNS
* INC # D1: 3 # A1: 6,9 => UNS
* INC # D1: 3 # A1: 2,4,5,8 => UNS
* INC # D1: 3 # E4: 6,9 => UNS
* INC # D1: 3 # E4: 2,4 => UNS
* INC # D1: 3 => UNS
* INC # E1: 3 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for G1,G2: 4..:

* INC # G1: 4 => UNS
* INC # G2: 4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for F1,F3: 8..:

* INC # F3: 8 # A1: 4,8 => UNS
* INC # F3: 8 # B1: 4,8 => UNS
* INC # F3: 8 # C1: 4,8 => UNS
* INC # F3: 8 # A2: 4,8 => UNS
* INC # F3: 8 # B2: 4,8 => UNS
* INC # F3: 8 # C2: 4,8 => UNS
* INC # F3: 8 # H1: 7,9 => UNS
* INC # F3: 8 # H2: 7,9 => UNS
* INC # F3: 8 # G3: 7,9 => UNS
* INC # F3: 8 # I4: 7,9 => UNS
* INC # F3: 8 # I7: 7,9 => UNS
* INC # F3: 8 # G7: 1,7 => UNS
* INC # F3: 8 # G7: 5,9 => UNS
* INC # F3: 8 # D8: 1,7 => UNS
* INC # F3: 8 # F8: 1,7 => UNS
* DIS # F3: 8 # A1: 4,8 # B2: 4,8 => CTR => B2: 9
* DIS # F3: 8 # A1: 4,8 + B2: 9 => CTR => A1: 2,5,6,9
* INC # F3: 8 + A1: 2,5,6,9 # B1: 4,8 => UNS
* INC # F3: 8 + A1: 2,5,6,9 # C1: 4,8 => UNS
* INC # F3: 8 + A1: 2,5,6,9 # A2: 4,8 => UNS
* INC # F3: 8 + A1: 2,5,6,9 # B2: 4,8 => UNS
* INC # F3: 8 + A1: 2,5,6,9 # C2: 4,8 => UNS
* INC # F3: 8 + A1: 2,5,6,9 # H1: 7,9 => UNS
* INC # F3: 8 + A1: 2,5,6,9 # H2: 7,9 => UNS
* INC # F3: 8 + A1: 2,5,6,9 # G3: 7,9 => UNS
* INC # F3: 8 + A1: 2,5,6,9 # I4: 7,9 => UNS
* INC # F3: 8 + A1: 2,5,6,9 # I7: 7,9 => UNS
* INC # F3: 8 + A1: 2,5,6,9 # G7: 1,7 => UNS
* INC # F3: 8 + A1: 2,5,6,9 # G7: 5,9 => UNS
* INC # F3: 8 + A1: 2,5,6,9 # D8: 1,7 => UNS
* INC # F3: 8 + A1: 2,5,6,9 # F8: 1,7 => UNS
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 # A2: 4,8 => CTR => A2: 5,6,9
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 # B2: 4,8 => CTR => B2: 9
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 # B4: 4,8 => CTR => B4: 2
* INC # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 # B8: 4,8 => UNS
* INC # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 # B8: 4,8 => UNS
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 # B8: 1 => CTR => B8: 4,8
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 + B8: 4,8 # G3: 7,9 => CTR => G3: 2
* DIS # F3: 8 + A1: 2,5,6,9 # B1: 4,8 + A2: 5,6,9 + B2: 9 + B4: 2 + B8: 4,8 + G3: 2 => CTR => B1: 2,9
* DIS # F3: 8 + A1: 2,5,6,9 + B1: 2,9 # A1: 2,9 => CTR => A1: 5,6
* PRF # F3: 8 + A1: 2,5,6,9 + B1: 2,9 + A1: 5,6 # A3: 2,9 => SOL
* STA # F3: 8 + A1: 2,5,6,9 + B1: 2,9 + A1: 5,6 + A3: 2,9
* CNT  41 HDP CHAINS /  42 HYP OPENED