Analysis of xx-ph-00000158-128-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: .2...6..94..18......8...4.........5...15...9..6...3..2..26....7.7..3.9.......7.3. initial

Autosolve

position: .2...6..94..18......8...4.........5...15...9..6...3..2..26....7.7..3.9.......7.3. 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: 0:00:00.000026

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:45.322946

List of important HDP chains detected for G2,G9: 2..:

* DIS # G2: 2 # A3: 6,7 # A1: 3,5 => CTR => A1: 1
* DIS # G2: 2 # A3: 6,7 + A1: 1 # B2: 3 => CTR => B2: 5,9
* PRF # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F8: 4,8 => SOL
* STA # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 + F8: 4,8
* CNT   3 HDP CHAINS /  44 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

.2...6..94..18......8...4.........5...15...9..6...3..2..26....7.7..3.9.......7.3. initial
.2...6..94..18......8...4.........5...15...9..6...3..2..26....7.7..3.9.......7.3. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A4,A5: 2.. / A4 = 2  =>  0 pairs (_) / A5 = 2  =>  1 pairs (_)
H8,G9: 2.. / H8 = 2  =>  5 pairs (_) / G9 = 2  =>  0 pairs (_)
G2,G9: 2.. / G2 = 2  =>  5 pairs (_) / G9 = 2  =>  0 pairs (_)
D1,D3: 3.. / D1 = 3  =>  1 pairs (_) / D3 = 3  =>  1 pairs (_)
A7,B7: 3.. / A7 = 3  =>  0 pairs (_) / B7 = 3  =>  2 pairs (_)
D1,E1: 4.. / D1 = 4  =>  2 pairs (_) / E1 = 4  =>  1 pairs (_)
A6,C6: 5.. / A6 = 5  =>  0 pairs (_) / C6 = 5  =>  2 pairs (_)
C2,A3: 6.. / C2 = 6  =>  4 pairs (_) / A3 = 6  =>  0 pairs (_)
E4,E5: 6.. / E4 = 6  =>  0 pairs (_) / E5 = 6  =>  0 pairs (_)
G1,H1: 8.. / G1 = 8  =>  3 pairs (_) / H1 = 8  =>  1 pairs (_)
* DURATION: 0:00:06.846200  START: 22:12:20.305457  END: 22:12:27.151657 2020-09-28
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G2,G9: 2.. / G2 = 2 ==>  5 pairs (_) / G9 = 2 ==>  0 pairs (_)
H8,G9: 2.. / H8 = 2 ==>  5 pairs (_) / G9 = 2 ==>  0 pairs (_)
C2,A3: 6.. / C2 = 6 ==>  4 pairs (_) / A3 = 6 ==>  0 pairs (_)
G1,H1: 8.. / G1 = 8 ==>  3 pairs (_) / H1 = 8 ==>  1 pairs (_)
D1,E1: 4.. / D1 = 4 ==>  2 pairs (_) / E1 = 4 ==>  1 pairs (_)
A6,C6: 5.. / A6 = 5 ==>  0 pairs (_) / C6 = 5 ==>  2 pairs (_)
A7,B7: 3.. / A7 = 3 ==>  0 pairs (_) / B7 = 3 ==>  2 pairs (_)
D1,D3: 3.. / D1 = 3 ==>  1 pairs (_) / D3 = 3 ==>  1 pairs (_)
A4,A5: 2.. / A4 = 2 ==>  0 pairs (_) / A5 = 2 ==>  1 pairs (_)
E4,E5: 6.. / E4 = 6 ==>  0 pairs (_) / E5 = 6 ==>  0 pairs (_)
* DURATION: 0:01:22.384524  START: 22:12:27.152772  END: 22:13:49.537296 2020-09-28
* DCP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
G2,G9: 2.. / G2 = 2 ==>  0 pairs (*) / G9 = 2  =>  0 pairs (X)
* DURATION: 0:00:45.319421  START: 22:13:49.642689  END: 22:14:34.962110 2020-09-28
* REASONING G2,G9: 2..
* DIS # G2: 2 # A3: 6,7 # A1: 3,5 => CTR => A1: 1
* DIS # G2: 2 # A3: 6,7 + A1: 1 # B2: 3 => CTR => B2: 5,9
* PRF # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F8: 4,8 => SOL
* STA # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 + F8: 4,8
* CNT   3 HDP CHAINS /  44 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

158;128;elev;23;11.50;11.50;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G2,G9: 2..:

* INC # G2: 2 # A3: 6,7 => UNS
* INC # G2: 2 # A3: 1,3,5,9 => UNS
* INC # G2: 2 # E3: 5,9 => UNS
* INC # G2: 2 # F3: 5,9 => UNS
* INC # G2: 2 # B2: 5,9 => UNS
* INC # G2: 2 # B2: 3 => UNS
* INC # G2: 2 # F7: 5,9 => UNS
* INC # G2: 2 # F7: 1,4,8 => UNS
* INC # G2: 2 # H3: 6,7 => UNS
* INC # G2: 2 # H3: 1 => UNS
* INC # G2: 2 # G1: 3,5 => UNS
* INC # G2: 2 # I3: 3,5 => UNS
* INC # G2: 2 # B2: 3,5 => UNS
* INC # G2: 2 # B2: 9 => UNS
* INC # G2: 2 # F7: 4,8 => UNS
* INC # G2: 2 # F8: 4,8 => UNS
* INC # G2: 2 # D9: 4,8 => UNS
* INC # G2: 2 # I8: 4,8 => UNS
* INC # G2: 2 # I8: 1,5,6 => UNS
* INC # G2: 2 # D4: 4,8 => UNS
* INC # G2: 2 # D6: 4,8 => UNS
* INC # G2: 2 => UNS
* INC # G9: 2 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for H8,G9: 2..:

* INC # H8: 2 # A3: 6,7 => UNS
* INC # H8: 2 # A3: 1,3,5,9 => UNS
* INC # H8: 2 # E3: 5,9 => UNS
* INC # H8: 2 # F3: 5,9 => UNS
* INC # H8: 2 # B2: 5,9 => UNS
* INC # H8: 2 # B2: 3 => UNS
* INC # H8: 2 # F7: 5,9 => UNS
* INC # H8: 2 # F7: 1,4,8 => UNS
* INC # H8: 2 # H3: 6,7 => UNS
* INC # H8: 2 # H3: 1 => UNS
* INC # H8: 2 # G1: 3,5 => UNS
* INC # H8: 2 # I3: 3,5 => UNS
* INC # H8: 2 # B2: 3,5 => UNS
* INC # H8: 2 # B2: 9 => UNS
* INC # H8: 2 # F7: 4,8 => UNS
* INC # H8: 2 # F8: 4,8 => UNS
* INC # H8: 2 # D9: 4,8 => UNS
* INC # H8: 2 # I8: 4,8 => UNS
* INC # H8: 2 # I8: 1,5,6 => UNS
* INC # H8: 2 # D4: 4,8 => UNS
* INC # H8: 2 # D6: 4,8 => UNS
* INC # H8: 2 => UNS
* INC # G9: 2 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for C2,A3: 6..:

* INC # C2: 6 # G1: 1,8 => UNS
* INC # C2: 6 # G1: 3,5 => UNS
* INC # C2: 6 # H6: 1,8 => UNS
* INC # C2: 6 # H7: 1,8 => UNS
* INC # C2: 6 # H8: 1,8 => UNS
* INC # C2: 6 # G2: 2,7 => UNS
* INC # C2: 6 # G2: 3,5 => UNS
* INC # C2: 6 # G1: 3,5 => UNS
* INC # C2: 6 # G2: 3,5 => UNS
* INC # C2: 6 # I3: 3,5 => UNS
* INC # C2: 6 # B2: 3,5 => UNS
* INC # C2: 6 # B2: 9 => UNS
* INC # C2: 6 # B7: 4,5 => UNS
* INC # C2: 6 # B9: 4,5 => UNS
* INC # C2: 6 # C9: 4,5 => UNS
* INC # C2: 6 # F8: 4,5 => UNS
* INC # C2: 6 # I8: 4,5 => UNS
* INC # C2: 6 # C6: 4,5 => UNS
* INC # C2: 6 # C6: 7,9 => UNS
* INC # C2: 6 => UNS
* INC # A3: 6 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for G1,H1: 8..:

* INC # G1: 8 # H3: 1,7 => UNS
* INC # G1: 8 # H3: 2,6 => UNS
* INC # G1: 8 # A1: 1,7 => UNS
* INC # G1: 8 # A1: 3,5 => UNS
* INC # G1: 8 # H6: 1,7 => UNS
* INC # G1: 8 # H6: 4,8 => UNS
* INC # G1: 8 # G4: 1,7 => UNS
* INC # G1: 8 # H6: 1,7 => UNS
* INC # G1: 8 # E6: 1,7 => UNS
* INC # G1: 8 # E6: 4,9 => UNS
* INC # G1: 8 # I8: 1,5 => UNS
* INC # G1: 8 # G9: 1,5 => UNS
* INC # G1: 8 # I9: 1,5 => UNS
* INC # G1: 8 # A7: 1,5 => UNS
* INC # G1: 8 # B7: 1,5 => UNS
* INC # G1: 8 # E7: 1,5 => UNS
* INC # G1: 8 # F7: 1,5 => UNS
* INC # G1: 8 => UNS
* INC # H1: 8 # H8: 1,4 => UNS
* INC # H1: 8 # I8: 1,4 => UNS
* INC # H1: 8 # I9: 1,4 => UNS
* INC # H1: 8 # B7: 1,4 => UNS
* INC # H1: 8 # E7: 1,4 => UNS
* INC # H1: 8 # F7: 1,4 => UNS
* INC # H1: 8 # H6: 1,4 => UNS
* INC # H1: 8 # H6: 7 => UNS
* INC # H1: 8 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for D1,E1: 4..:

* INC # D1: 4 # E3: 5,7 => UNS
* INC # D1: 4 # E3: 2,9 => UNS
* INC # D1: 4 # A1: 5,7 => UNS
* INC # D1: 4 # C1: 5,7 => UNS
* INC # D1: 4 # G1: 5,7 => UNS
* INC # D1: 4 # F8: 2,8 => UNS
* INC # D1: 4 # D9: 2,8 => UNS
* INC # D1: 4 # H8: 2,8 => UNS
* INC # D1: 4 # H8: 1,4,6 => UNS
* INC # D1: 4 # D4: 2,8 => UNS
* INC # D1: 4 # D4: 7,9 => UNS
* INC # D1: 4 => UNS
* INC # E1: 4 # D3: 3,7 => UNS
* INC # E1: 4 # D3: 2,9 => UNS
* INC # E1: 4 # A1: 3,7 => UNS
* INC # E1: 4 # C1: 3,7 => UNS
* INC # E1: 4 # G1: 3,7 => UNS
* INC # E1: 4 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for A6,C6: 5..:

* INC # C6: 5 # A1: 3,7 => UNS
* INC # C6: 5 # C2: 3,7 => UNS
* INC # C6: 5 # A3: 3,7 => UNS
* INC # C6: 5 # D1: 3,7 => UNS
* INC # C6: 5 # G1: 3,7 => UNS
* INC # C6: 5 # C4: 3,7 => UNS
* INC # C6: 5 # C4: 4,9 => UNS
* INC # C6: 5 # C9: 4,6 => UNS
* INC # C6: 5 # C9: 9 => UNS
* INC # C6: 5 # H8: 4,6 => UNS
* INC # C6: 5 # I8: 4,6 => UNS
* INC # C6: 5 => UNS
* INC # A6: 5 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for A7,B7: 3..:

* INC # B7: 3 # C2: 5,9 => UNS
* INC # B7: 3 # A3: 5,9 => UNS
* INC # B7: 3 # B3: 5,9 => UNS
* INC # B7: 3 # F2: 5,9 => UNS
* INC # B7: 3 # F2: 2 => UNS
* INC # B7: 3 # B9: 5,9 => UNS
* INC # B7: 3 # B9: 1,4,8 => UNS
* INC # B7: 3 # B4: 4,8 => UNS
* INC # B7: 3 # B4: 9 => UNS
* INC # B7: 3 # F5: 4,8 => UNS
* INC # B7: 3 # I5: 4,8 => UNS
* INC # B7: 3 # B9: 4,8 => UNS
* INC # B7: 3 # B9: 1,5,9 => UNS
* INC # B7: 3 => UNS
* INC # A7: 3 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for D1,D3: 3..:

* INC # D1: 3 # A1: 5,7 => UNS
* INC # D1: 3 # C2: 5,7 => UNS
* INC # D1: 3 # G1: 5,7 => UNS
* INC # D1: 3 # G1: 1,8 => UNS
* INC # D1: 3 # C6: 5,7 => UNS
* INC # D1: 3 # C6: 4,9 => UNS
* INC # D1: 3 => UNS
* INC # D3: 3 # E1: 4,7 => UNS
* INC # D3: 3 # E1: 5 => UNS
* INC # D3: 3 # D4: 4,7 => UNS
* INC # D3: 3 # D6: 4,7 => UNS
* INC # D3: 3 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for A4,A5: 2..:

* INC # A5: 2 # D4: 4,8 => UNS
* INC # A5: 2 # F4: 4,8 => UNS
* INC # A5: 2 # D6: 4,8 => UNS
* INC # A5: 2 # B5: 4,8 => UNS
* INC # A5: 2 # I5: 4,8 => UNS
* INC # A5: 2 # F7: 4,8 => UNS
* INC # A5: 2 # F8: 4,8 => UNS
* INC # A5: 2 => UNS
* INC # A4: 2 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for E4,E5: 6..:

* INC # E4: 6 => UNS
* INC # E5: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for G2,G9: 2..:

* INC # G2: 2 # A3: 6,7 => UNS
* INC # G2: 2 # A3: 1,3,5,9 => UNS
* INC # G2: 2 # E3: 5,9 => UNS
* INC # G2: 2 # F3: 5,9 => UNS
* INC # G2: 2 # B2: 5,9 => UNS
* INC # G2: 2 # B2: 3 => UNS
* INC # G2: 2 # F7: 5,9 => UNS
* INC # G2: 2 # F7: 1,4,8 => UNS
* INC # G2: 2 # H3: 6,7 => UNS
* INC # G2: 2 # H3: 1 => UNS
* INC # G2: 2 # G1: 3,5 => UNS
* INC # G2: 2 # I3: 3,5 => UNS
* INC # G2: 2 # B2: 3,5 => UNS
* INC # G2: 2 # B2: 9 => UNS
* INC # G2: 2 # F7: 4,8 => UNS
* INC # G2: 2 # F8: 4,8 => UNS
* INC # G2: 2 # D9: 4,8 => UNS
* INC # G2: 2 # I8: 4,8 => UNS
* INC # G2: 2 # I8: 1,5,6 => UNS
* INC # G2: 2 # D4: 4,8 => UNS
* INC # G2: 2 # D6: 4,8 => UNS
* DIS # G2: 2 # A3: 6,7 # A1: 3,5 => CTR => A1: 1
* INC # G2: 2 # A3: 6,7 + A1: 1 # B2: 3,5 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 # B3: 3,5 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 # G1: 3,5 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 # G1: 7,8 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 # H3: 6,7 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 # H3: 1 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 # E3: 5,9 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 # F3: 5,9 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 # B2: 5,9 => UNS
* DIS # G2: 2 # A3: 6,7 + A1: 1 # B2: 3 => CTR => B2: 5,9
* INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F7: 5,9 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F7: 1,4,8 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # E3: 5,9 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F3: 5,9 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F7: 5,9 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F7: 1,4,8 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # H3: 6,7 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # H3: 1 => UNS
* INC # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F7: 4,8 => UNS
* PRF # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 # F8: 4,8 => SOL
* STA # G2: 2 # A3: 6,7 + A1: 1 + B2: 5,9 + F8: 4,8
* CNT  42 HDP CHAINS /  44 HYP OPENED