Analysis of xx-ph-00001554-540-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 1.....7...5..8...6...3...1.....6...4...9..3...46.....23..7......85.4......2..5... initial

Autosolve

position: 1.....7...5..8...6...3...1.....6...4...9.436..46.....23..7......85.4......2..5... 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: 0:00:00.000009

List of important HDP chains detected for D1,D2: 4..:

* DIS # D2: 4 # H1: 2,9 => CTR => H1: 3,4,5,8
* CNT   1 HDP CHAINS /  19 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: 0:00:51.452410

List of important HDP chains detected for D2,F2: 1..:

* DIS # D2: 1 # D4: 5,8 # C7: 1,9 => CTR => C7: 4
* DIS # D2: 1 # D4: 5,8 + C7: 4 # G7: 1,9 => CTR => G7: 2,5,6
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 # E9: 1,9 => CTR => E9: 3
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 # B4: 2,7 => CTR => B4: 3,9
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 # A5: 2,7 => CTR => A5: 5,8
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 # A4: 5,8,9 => CTR => A4: 2,7
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 # E5: 1 => CTR => E5: 2,7
* PRF # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 + E5: 2,7 # H4: 5,8 => SOL
* STA # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 + E5: 2,7 + H4: 5,8
* CNT   8 HDP CHAINS /  36 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.....7...5..8...6...3...1.....6...4...9..3...46.....23..7......85.4......2..5... initial
1.....7...5..8...6...3...1.....6...4...9.436..46.....23..7......85.4......2..5... autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D2,F2: 1.. / D2 = 1  =>  3 pairs (_) / F2 = 1  =>  1 pairs (_)
B4,C4: 3.. / B4 = 3  =>  0 pairs (_) / C4 = 3  =>  0 pairs (_)
E6,F6: 3.. / E6 = 3  =>  1 pairs (_) / F6 = 3  =>  0 pairs (_)
F8,E9: 3.. / F8 = 3  =>  1 pairs (_) / E9 = 3  =>  0 pairs (_)
C2,H2: 3.. / C2 = 3  =>  0 pairs (_) / H2 = 3  =>  0 pairs (_)
B1,B4: 3.. / B1 = 3  =>  0 pairs (_) / B4 = 3  =>  0 pairs (_)
E6,E9: 3.. / E6 = 3  =>  1 pairs (_) / E9 = 3  =>  0 pairs (_)
F6,F8: 3.. / F6 = 3  =>  0 pairs (_) / F8 = 3  =>  1 pairs (_)
D1,D2: 4.. / D1 = 4  =>  1 pairs (_) / D2 = 4  =>  1 pairs (_)
C7,A9: 4.. / C7 = 4  =>  1 pairs (_) / A9 = 4  =>  1 pairs (_)
F7,D9: 8.. / F7 = 8  =>  1 pairs (_) / D9 = 8  =>  1 pairs (_)
* DURATION: 0:00:08.091986  START: 11:36:30.922506  END: 11:36:39.014492 2020-11-29
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D2,F2: 1.. / D2 = 1 ==>  3 pairs (_) / F2 = 1 ==>  1 pairs (_)
F7,D9: 8.. / F7 = 8 ==>  1 pairs (_) / D9 = 8 ==>  1 pairs (_)
C7,A9: 4.. / C7 = 4 ==>  1 pairs (_) / A9 = 4 ==>  1 pairs (_)
D1,D2: 4.. / D1 = 4 ==>  1 pairs (_) / D2 = 4 ==>  1 pairs (_)
F6,F8: 3.. / F6 = 3 ==>  0 pairs (_) / F8 = 3 ==>  1 pairs (_)
E6,E9: 3.. / E6 = 3 ==>  1 pairs (_) / E9 = 3 ==>  0 pairs (_)
F8,E9: 3.. / F8 = 3 ==>  1 pairs (_) / E9 = 3 ==>  0 pairs (_)
E6,F6: 3.. / E6 = 3 ==>  1 pairs (_) / F6 = 3 ==>  0 pairs (_)
B1,B4: 3.. / B1 = 3 ==>  0 pairs (_) / B4 = 3 ==>  0 pairs (_)
C2,H2: 3.. / C2 = 3 ==>  0 pairs (_) / H2 = 3 ==>  0 pairs (_)
B4,C4: 3.. / B4 = 3 ==>  0 pairs (_) / C4 = 3 ==>  0 pairs (_)
* DURATION: 0:00:58.450103  START: 11:36:39.015201  END: 11:37:37.465304 2020-11-29
* REASONING D1,D2: 4..
* DIS # D2: 4 # H1: 2,9 => CTR => H1: 3,4,5,8
* CNT   1 HDP CHAINS /  19 HYP OPENED
* DCP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
D2,F2: 1.. / D2 = 1 ==>  0 pairs (*) / F2 = 1  =>  0 pairs (X)
* DURATION: 0:00:51.451356  START: 11:37:37.603372  END: 11:38:29.054728 2020-11-29
* REASONING D2,F2: 1..
* DIS # D2: 1 # D4: 5,8 # C7: 1,9 => CTR => C7: 4
* DIS # D2: 1 # D4: 5,8 + C7: 4 # G7: 1,9 => CTR => G7: 2,5,6
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 # E9: 1,9 => CTR => E9: 3
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 # B4: 2,7 => CTR => B4: 3,9
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 # A5: 2,7 => CTR => A5: 5,8
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 # A4: 5,8,9 => CTR => A4: 2,7
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 # E5: 1 => CTR => E5: 2,7
* PRF # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 + E5: 2,7 # H4: 5,8 => SOL
* STA # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 + E5: 2,7 + H4: 5,8
* CNT   8 HDP CHAINS /  36 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1554;540;elev;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D2,F2: 1..:

* INC # D2: 1 # D4: 5,8 => UNS
* INC # D2: 1 # D4: 2 => UNS
* INC # D2: 1 # A6: 5,8 => UNS
* INC # D2: 1 # G6: 5,8 => UNS
* INC # D2: 1 # H6: 5,8 => UNS
* INC # D2: 1 # G8: 2,6 => UNS
* INC # D2: 1 # G8: 1,9 => UNS
* INC # D2: 1 # G9: 6,8 => UNS
* INC # D2: 1 # G9: 1,4,9 => UNS
* INC # D2: 1 => UNS
* INC # F2: 1 # D1: 2,4 => UNS
* INC # F2: 1 # D1: 5,6 => UNS
* INC # F2: 1 # A2: 2,4 => UNS
* INC # F2: 1 # G2: 2,4 => UNS
* INC # F2: 1 # H2: 2,4 => UNS
* INC # F2: 1 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for F7,D9: 8..:

* INC # F7: 8 # D8: 1,6 => UNS
* INC # F7: 8 # F8: 1,6 => UNS
* INC # F7: 8 # B9: 1,6 => UNS
* INC # F7: 8 # G9: 1,6 => UNS
* INC # F7: 8 => UNS
* INC # D9: 8 # D4: 1,5 => UNS
* INC # D9: 8 # E5: 1,5 => UNS
* INC # D9: 8 # E6: 1,5 => UNS
* INC # D9: 8 # G6: 1,5 => UNS
* INC # D9: 8 # G6: 8,9 => UNS
* INC # D9: 8 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for C7,A9: 4..:

* INC # C7: 4 # A4: 2,7 => UNS
* INC # C7: 4 # B4: 2,7 => UNS
* INC # C7: 4 # A5: 2,7 => UNS
* INC # C7: 4 # E5: 2,7 => UNS
* INC # C7: 4 # E5: 1,5 => UNS
* INC # C7: 4 # B3: 2,7 => UNS
* INC # C7: 4 # B3: 6,9 => UNS
* INC # C7: 4 => UNS
* INC # A9: 4 # B7: 1,9 => UNS
* INC # A9: 4 # B9: 1,9 => UNS
* INC # A9: 4 # E7: 1,9 => UNS
* INC # A9: 4 # F7: 1,9 => UNS
* INC # A9: 4 # G7: 1,9 => UNS
* INC # A9: 4 # I7: 1,9 => UNS
* INC # A9: 4 # C4: 1,9 => UNS
* INC # A9: 4 # C4: 3,7,8 => UNS
* INC # A9: 4 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for D1,D2: 4..:

* INC # D1: 4 # F2: 1,2 => UNS
* INC # D1: 4 # F2: 7,9 => UNS
* INC # D1: 4 # D4: 1,2 => UNS
* INC # D1: 4 # D8: 1,2 => UNS
* INC # D1: 4 => UNS
* DIS # D2: 4 # H1: 2,9 => CTR => H1: 3,4,5,8
* INC # D2: 4 + H1: 3,4,5,8 # H2: 2,9 => UNS
* INC # D2: 4 + H1: 3,4,5,8 # G3: 2,9 => UNS
* INC # D2: 4 + H1: 3,4,5,8 # A2: 2,9 => UNS
* INC # D2: 4 + H1: 3,4,5,8 # A2: 7 => UNS
* INC # D2: 4 + H1: 3,4,5,8 # G7: 2,9 => UNS
* INC # D2: 4 + H1: 3,4,5,8 # G8: 2,9 => UNS
* INC # D2: 4 + H1: 3,4,5,8 # H2: 2,9 => UNS
* INC # D2: 4 + H1: 3,4,5,8 # G3: 2,9 => UNS
* INC # D2: 4 + H1: 3,4,5,8 # A2: 2,9 => UNS
* INC # D2: 4 + H1: 3,4,5,8 # A2: 7 => UNS
* INC # D2: 4 + H1: 3,4,5,8 # G7: 2,9 => UNS
* INC # D2: 4 + H1: 3,4,5,8 # G8: 2,9 => UNS
* INC # D2: 4 + H1: 3,4,5,8 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for F6,F8: 3..:

* INC # F8: 3 # E7: 1,9 => UNS
* INC # F8: 3 # F7: 1,9 => UNS
* INC # F8: 3 # B9: 1,9 => UNS
* INC # F8: 3 # G9: 1,9 => UNS
* INC # F8: 3 # I9: 1,9 => UNS
* INC # F8: 3 => UNS
* INC # F6: 3 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

Full list of HDP chains traversed for E6,E9: 3..:

* INC # E6: 3 # E7: 1,9 => UNS
* INC # E6: 3 # F7: 1,9 => UNS
* INC # E6: 3 # B9: 1,9 => UNS
* INC # E6: 3 # G9: 1,9 => UNS
* INC # E6: 3 # I9: 1,9 => UNS
* INC # E6: 3 => UNS
* INC # E9: 3 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

Full list of HDP chains traversed for F8,E9: 3..:

* INC # F8: 3 # E7: 1,9 => UNS
* INC # F8: 3 # F7: 1,9 => UNS
* INC # F8: 3 # B9: 1,9 => UNS
* INC # F8: 3 # G9: 1,9 => UNS
* INC # F8: 3 # I9: 1,9 => UNS
* INC # F8: 3 => UNS
* INC # E9: 3 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

Full list of HDP chains traversed for E6,F6: 3..:

* INC # E6: 3 # E7: 1,9 => UNS
* INC # E6: 3 # F7: 1,9 => UNS
* INC # E6: 3 # B9: 1,9 => UNS
* INC # E6: 3 # G9: 1,9 => UNS
* INC # E6: 3 # I9: 1,9 => UNS
* INC # E6: 3 => UNS
* INC # F6: 3 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

Full list of HDP chains traversed for B1,B4: 3..:

* INC # B1: 3 => UNS
* INC # B4: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C2,H2: 3..:

* INC # C2: 3 => UNS
* INC # H2: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for B4,C4: 3..:

* INC # B4: 3 => UNS
* INC # C4: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for D2,F2: 1..:

* INC # D2: 1 # D4: 5,8 => UNS
* INC # D2: 1 # D4: 2 => UNS
* INC # D2: 1 # A6: 5,8 => UNS
* INC # D2: 1 # G6: 5,8 => UNS
* INC # D2: 1 # H6: 5,8 => UNS
* INC # D2: 1 # G8: 2,6 => UNS
* INC # D2: 1 # G8: 1,9 => UNS
* INC # D2: 1 # G9: 6,8 => UNS
* INC # D2: 1 # G9: 1,4,9 => UNS
* INC # D2: 1 # D4: 5,8 # A4: 5,8 => UNS
* INC # D2: 1 # D4: 5,8 # G4: 5,8 => UNS
* INC # D2: 1 # D4: 5,8 # H4: 5,8 => UNS
* INC # D2: 1 # D4: 5,8 # A6: 5,8 => UNS
* INC # D2: 1 # D4: 5,8 # G6: 5,8 => UNS
* INC # D2: 1 # D4: 5,8 # H6: 5,8 => UNS
* INC # D2: 1 # D4: 5,8 # F8: 1,9 => UNS
* INC # D2: 1 # D4: 5,8 # E9: 1,9 => UNS
* INC # D2: 1 # D4: 5,8 # B7: 1,9 => UNS
* DIS # D2: 1 # D4: 5,8 # C7: 1,9 => CTR => C7: 4
* DIS # D2: 1 # D4: 5,8 + C7: 4 # G7: 1,9 => CTR => G7: 2,5,6
* INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 # I7: 1,9 => UNS
* INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 # F8: 1,9 => UNS
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 # E9: 1,9 => CTR => E9: 3
* INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 # B7: 1,9 => UNS
* INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 # I7: 1,9 => UNS
* INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 # A4: 2,7 => UNS
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 # B4: 2,7 => CTR => B4: 3,9
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 # A5: 2,7 => CTR => A5: 5,8
* INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 # A4: 2,7 => UNS
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 # A4: 5,8,9 => CTR => A4: 2,7
* INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 # E5: 2,7 => UNS
* DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 # E5: 1 => CTR => E5: 2,7
* INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 + E5: 2,7 # G4: 5,8 => UNS
* PRF # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 + E5: 2,7 # H4: 5,8 => SOL
* STA # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 + E5: 2,7 + H4: 5,8
* CNT  34 HDP CHAINS /  36 HYP OPENED