Analysis of xx-ph-00001092-L114-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 1..4......5...9.3...8.....4....6.4..3....7.1....2..8....2...6...1.....7.97...5... initial

Autosolve

position: 1..4......5...9.3...8.....4....6.4..3....7.1....2..8....2...6...1.....7.97...5... autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.191579

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: 0:00:00.000013

List of important HDP chains detected for I5,H6: 6..:

* DIS # H6: 6 # B5: 4,9 => CTR => B5: 2,6,8
* CNT   1 HDP CHAINS /  18 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: 0:00:26.366309

List of important HDP chains detected for H7,H9: 4..:

* DIS # H7: 4 # A8: 5,8 # B3: 2,6 => CTR => B3: 9
* PRF # H7: 4 # A8: 5,8 + B3: 9 # F3: 2,6 => SOL
* STA # H7: 4 # A8: 5,8 + B3: 9 + F3: 2,6
* CNT   2 HDP CHAINS /  20 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..4......5...9.3...8.....4....6.4..3....7.1....2..8....2...6...1.....7.97...5... initial
1..4......5...9.3...8.....4....6.4..3....7.1....2..8....2...6...1.....7.97...5... autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
I4: 3,7
I6: 3,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C4,C6: 1.. / C4 = 1  =>  3 pairs (_) / C6 = 1  =>  3 pairs (_)
I4,I6: 3.. / I4 = 3  =>  1 pairs (_) / I6 = 3  =>  1 pairs (_)
G8,G9: 3.. / G8 = 3  =>  3 pairs (_) / G9 = 3  =>  3 pairs (_)
A2,C2: 4.. / A2 = 4  =>  4 pairs (_) / C2 = 4  =>  3 pairs (_)
H7,H9: 4.. / H7 = 4  =>  5 pairs (_) / H9 = 4  =>  3 pairs (_)
I5,H6: 6.. / I5 = 6  =>  3 pairs (_) / H6 = 6  =>  3 pairs (_)
C9,D9: 6.. / C9 = 6  =>  3 pairs (_) / D9 = 6  =>  3 pairs (_)
I4,I6: 7.. / I4 = 7  =>  1 pairs (_) / I6 = 7  =>  1 pairs (_)
D7,E7: 7.. / D7 = 7  =>  2 pairs (_) / E7 = 7  =>  2 pairs (_)
* DURATION: 0:00:07.491573  START: 01:37:03.820930  END: 01:37:11.312503 2020-11-25
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H7,H9: 4.. / H7 = 4 ==>  5 pairs (_) / H9 = 4 ==>  3 pairs (_)
A2,C2: 4.. / A2 = 4 ==>  4 pairs (_) / C2 = 4 ==>  3 pairs (_)
C9,D9: 6.. / C9 = 6 ==>  3 pairs (_) / D9 = 6 ==>  3 pairs (_)
I5,H6: 6.. / I5 = 6 ==>  3 pairs (_) / H6 = 6 ==>  3 pairs (_)
G8,G9: 3.. / G8 = 3 ==>  3 pairs (_) / G9 = 3 ==>  3 pairs (_)
C4,C6: 1.. / C4 = 1 ==>  3 pairs (_) / C6 = 1 ==>  3 pairs (_)
D7,E7: 7.. / D7 = 7 ==>  2 pairs (_) / E7 = 7 ==>  2 pairs (_)
I4,I6: 7.. / I4 = 7 ==>  1 pairs (_) / I6 = 7 ==>  1 pairs (_)
I4,I6: 3.. / I4 = 3 ==>  1 pairs (_) / I6 = 3 ==>  1 pairs (_)
* DURATION: 0:01:14.635337  START: 01:37:12.256764  END: 01:38:26.892101 2020-11-25
* REASONING I5,H6: 6..
* DIS # H6: 6 # B5: 4,9 => CTR => B5: 2,6,8
* CNT   1 HDP CHAINS /  18 HYP OPENED
* DCP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
H7,H9: 4.. / H7 = 4 ==>  0 pairs (*) / H9 = 4  =>  0 pairs (X)
* DURATION: 0:00:26.363800  START: 01:38:27.040411  END: 01:38:53.404211 2020-11-25
* REASONING H7,H9: 4..
* DIS # H7: 4 # A8: 5,8 # B3: 2,6 => CTR => B3: 9
* PRF # H7: 4 # A8: 5,8 + B3: 9 # F3: 2,6 => SOL
* STA # H7: 4 # A8: 5,8 + B3: 9 + F3: 2,6
* CNT   2 HDP CHAINS /  20 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1092;L114;elev;21;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H7,H9: 4..:

* INC # H7: 4 # A8: 5,8 => UNS
* INC # H7: 4 # A8: 4,6 => UNS
* INC # H7: 4 # I7: 5,8 => UNS
* INC # H7: 4 # I7: 1,9 => UNS
* INC # H7: 4 # A4: 5,8 => UNS
* INC # H7: 4 # A4: 2,7 => UNS
* INC # H7: 4 # D7: 3,8 => UNS
* INC # H7: 4 # E7: 3,8 => UNS
* INC # H7: 4 # F7: 3,8 => UNS
* INC # H7: 4 # I8: 2,8 => UNS
* INC # H7: 4 # I9: 2,8 => UNS
* INC # H7: 4 # E9: 2,8 => UNS
* INC # H7: 4 # E9: 1,3,4 => UNS
* INC # H7: 4 # H1: 2,8 => UNS
* INC # H7: 4 # H1: 5,6,9 => UNS
* INC # H7: 4 => UNS
* INC # H9: 4 # C8: 3,6 => UNS
* INC # H9: 4 # C8: 4,5 => UNS
* INC # H9: 4 # D9: 3,6 => UNS
* INC # H9: 4 # D9: 1,8 => UNS
* INC # H9: 4 # C1: 3,6 => UNS
* INC # H9: 4 # C1: 7,9 => UNS
* INC # H9: 4 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for A2,C2: 4..:

* INC # A2: 4 # C1: 6,7 => UNS
* INC # A2: 4 # A3: 6,7 => UNS
* INC # A2: 4 # D2: 6,7 => UNS
* INC # A2: 4 # D2: 1,8 => UNS
* INC # A2: 4 # C6: 6,7 => UNS
* INC # A2: 4 # C6: 1,4,5,9 => UNS
* INC # A2: 4 # A8: 5,8 => UNS
* INC # A2: 4 # A8: 6 => UNS
* INC # A2: 4 # H7: 5,8 => UNS
* INC # A2: 4 # I7: 5,8 => UNS
* INC # A2: 4 # A4: 5,8 => UNS
* INC # A2: 4 # A4: 2,7 => UNS
* INC # A2: 4 => UNS
* INC # C2: 4 # C8: 3,6 => UNS
* INC # C2: 4 # C8: 5 => UNS
* INC # C2: 4 # D9: 3,6 => UNS
* INC # C2: 4 # D9: 1,8 => UNS
* INC # C2: 4 # C1: 3,6 => UNS
* INC # C2: 4 # C1: 7,9 => UNS
* INC # C2: 4 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for C9,D9: 6..:

* INC # C9: 6 # A2: 4,7 => UNS
* INC # C9: 6 # A2: 2,6 => UNS
* INC # C9: 6 # C6: 4,7 => UNS
* INC # C9: 6 # C6: 1,5,9 => UNS
* INC # C9: 6 => UNS
* INC # D9: 6 # B7: 3,4 => UNS
* INC # D9: 6 # C8: 3,4 => UNS
* INC # D9: 6 # E9: 3,4 => UNS
* INC # D9: 6 # E9: 1,2,8 => UNS
* INC # D9: 6 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for I5,H6: 6..:

* INC # I5: 6 # H4: 5,9 => UNS
* INC # I5: 6 # G5: 5,9 => UNS
* INC # I5: 6 # C6: 5,9 => UNS
* INC # I5: 6 # E6: 5,9 => UNS
* INC # I5: 6 # H1: 5,9 => UNS
* INC # I5: 6 # H3: 5,9 => UNS
* INC # I5: 6 # H7: 5,9 => UNS
* INC # I5: 6 => UNS
* DIS # H6: 6 # B5: 4,9 => CTR => B5: 2,6,8
* INC # H6: 6 + B5: 2,6,8 # C5: 4,9 => UNS
* INC # H6: 6 + B5: 2,6,8 # C6: 4,9 => UNS
* INC # H6: 6 + B5: 2,6,8 # E6: 4,9 => UNS
* INC # H6: 6 + B5: 2,6,8 # E6: 1,3,5 => UNS
* INC # H6: 6 + B5: 2,6,8 # C5: 4,9 => UNS
* INC # H6: 6 + B5: 2,6,8 # C6: 4,9 => UNS
* INC # H6: 6 + B5: 2,6,8 # E6: 4,9 => UNS
* INC # H6: 6 + B5: 2,6,8 # E6: 1,3,5 => UNS
* INC # H6: 6 + B5: 2,6,8 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for G8,G9: 3..:

* INC # G8: 3 # I9: 1,2 => UNS
* INC # G8: 3 # I9: 8 => UNS
* INC # G8: 3 # E9: 1,2 => UNS
* INC # G8: 3 # E9: 3,4,8 => UNS
* INC # G8: 3 # G2: 1,2 => UNS
* INC # G8: 3 # G3: 1,2 => UNS
* INC # G8: 3 => UNS
* INC # G9: 3 # A8: 4,6 => UNS
* INC # G9: 3 # C8: 4,6 => UNS
* INC # G9: 3 # C2: 4,6 => UNS
* INC # G9: 3 # C5: 4,6 => UNS
* INC # G9: 3 # C6: 4,6 => UNS
* INC # G9: 3 => UNS
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for C4,C6: 1..:

* INC # C4: 1 # D4: 3,8 => UNS
* INC # C4: 1 # D4: 5,9 => UNS
* INC # C4: 1 # F1: 3,8 => UNS
* INC # C4: 1 # F7: 3,8 => UNS
* INC # C4: 1 # F8: 3,8 => UNS
* INC # C4: 1 => UNS
* INC # C6: 1 # E6: 3,4 => UNS
* INC # C6: 1 # E6: 5,9 => UNS
* INC # C6: 1 # F7: 3,4 => UNS
* INC # C6: 1 # F8: 3,4 => UNS
* INC # C6: 1 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for D7,E7: 7..:

* INC # D7: 7 => UNS
* INC # E7: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for I4,I6: 7..:

* INC # I4: 7 # E6: 1,4 => UNS
* INC # I4: 7 # E6: 5,9 => UNS
* INC # I4: 7 # C6: 1,4 => UNS
* INC # I4: 7 # C6: 5,6,7,9 => UNS
* INC # I4: 7 # F7: 1,4 => UNS
* INC # I4: 7 # F7: 3,8 => UNS
* INC # I4: 7 => UNS
* INC # I6: 7 # D4: 1,8 => UNS
* INC # I6: 7 # D4: 5,9 => UNS
* INC # I6: 7 # F7: 1,8 => UNS
* INC # I6: 7 # F7: 3,4 => UNS
* INC # I6: 7 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for I4,I6: 3..:

* INC # I4: 3 # D4: 1,8 => UNS
* INC # I4: 3 # D4: 5,9 => UNS
* INC # I4: 3 # F7: 1,8 => UNS
* INC # I4: 3 # F7: 3,4 => UNS
* INC # I4: 3 => UNS
* INC # I6: 3 # E6: 1,4 => UNS
* INC # I6: 3 # E6: 5,9 => UNS
* INC # I6: 3 # C6: 1,4 => UNS
* INC # I6: 3 # C6: 5,6,7,9 => UNS
* INC # I6: 3 # F7: 1,4 => UNS
* INC # I6: 3 # F7: 3,8 => UNS
* INC # I6: 3 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for H7,H9: 4..:

* INC # H7: 4 # A8: 5,8 => UNS
* INC # H7: 4 # A8: 4,6 => UNS
* INC # H7: 4 # I7: 5,8 => UNS
* INC # H7: 4 # I7: 1,9 => UNS
* INC # H7: 4 # A4: 5,8 => UNS
* INC # H7: 4 # A4: 2,7 => UNS
* INC # H7: 4 # D7: 3,8 => UNS
* INC # H7: 4 # E7: 3,8 => UNS
* INC # H7: 4 # F7: 3,8 => UNS
* INC # H7: 4 # I8: 2,8 => UNS
* INC # H7: 4 # I9: 2,8 => UNS
* INC # H7: 4 # E9: 2,8 => UNS
* INC # H7: 4 # E9: 1,3,4 => UNS
* INC # H7: 4 # H1: 2,8 => UNS
* INC # H7: 4 # H1: 5,6,9 => UNS
* INC # H7: 4 # A8: 5,8 # B1: 2,6 => UNS
* DIS # H7: 4 # A8: 5,8 # B3: 2,6 => CTR => B3: 9
* PRF # H7: 4 # A8: 5,8 + B3: 9 # F3: 2,6 => SOL
* STA # H7: 4 # A8: 5,8 + B3: 9 + F3: 2,6
* CNT  18 HDP CHAINS /  20 HYP OPENED