Analysis of xx-ph-00000500-203-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 1.3.......5...9.....8.3.4...6.5..........7.9.8...4...23.2....61....1...4...6...7. initial

Autosolve

position: 1.3.......5...9.....8.3.4...6.5...4......7.9.8...4...23.2....61....1...4...6...7. 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

Time used: 0:00:00.000007

List of important HDP chains detected for B9,C9: 1..:

* DIS # C9: 1 # A4: 7,9 => CTR => A4: 2
* DIS # C9: 1 + A4: 2 # F6: 1,3 => CTR => F6: 6
* DIS # C9: 1 + A4: 2 + F6: 6 # G6: 1,3 => CTR => G6: 5,7
* DIS # C9: 1 + A4: 2 + F6: 6 + G6: 5,7 # H6: 1,3 => CTR => H6: 5
* DIS # C9: 1 + A4: 2 + F6: 6 + G6: 5,7 + H6: 5 # A2: 4,6 => CTR => A2: 7
* DIS # C9: 1 + A4: 2 + F6: 6 + G6: 5,7 + H6: 5 + A2: 7 => CTR => C9: 4,5,9
* STA C9: 4,5,9
* CNT   6 HDP CHAINS /  10 HYP OPENED

List of important HDP chains detected for E4,D6: 9..:

* DIS # E4: 9 # G6: 1,3 => CTR => G6: 5,6,7
* CNT   1 HDP CHAINS /  36 HYP OPENED

List of important HDP chains detected for F6,G6: 6..:

* DIS # F6: 6 # E1: 2,8 => CTR => E1: 5,6,7
* CNT   1 HDP CHAINS /  31 HYP OPENED

List of important HDP chains detected for E5,F6: 6..:

* DIS # F6: 6 # E1: 2,8 => CTR => E1: 5,6,7
* CNT   1 HDP CHAINS /  31 HYP OPENED

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

Details

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

Positions

1.3.......5...9.....8.3.4...6.5..........7.9.8...4...23.2....61....1...4...6...7. initial
1.3.......5...9.....8.3.4...6.5...4......7.9.8...4...23.2....61....1...4...6...7. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B9,C9: 1.. / B9 = 1  =>  0 pairs (_) / C9 = 1  =>  4 pairs (_)
B5,B6: 3.. / B5 = 3  =>  0 pairs (_) / B6 = 3  =>  3 pairs (_)
E5,F6: 6.. / E5 = 6  =>  3 pairs (_) / F6 = 6  =>  1 pairs (_)
A8,C8: 6.. / A8 = 6  =>  0 pairs (_) / C8 = 6  =>  1 pairs (_)
F6,G6: 6.. / F6 = 6  =>  1 pairs (_) / G6 = 6  =>  3 pairs (_)
C2,C8: 6.. / C2 = 6  =>  0 pairs (_) / C8 = 6  =>  1 pairs (_)
E4,D6: 9.. / E4 = 9  =>  3 pairs (_) / D6 = 9  =>  1 pairs (_)
* DURATION: 0:00:03.963618  START: 03:54:34.054275  END: 03:54:38.017893 2020-10-26
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B9,C9: 1.. / B9 = 1  =>  0 pairs (_) / C9 = 1 ==>  0 pairs (X)
E4,D6: 9.. / E4 = 9 ==>  3 pairs (_) / D6 = 9 ==>  1 pairs (_)
F6,G6: 6.. / F6 = 6 ==>  1 pairs (_) / G6 = 6 ==>  3 pairs (_)
E5,F6: 6.. / E5 = 6 ==>  3 pairs (_) / F6 = 6 ==>  1 pairs (_)
B5,B6: 3.. / B5 = 3 ==>  0 pairs (_) / B6 = 3 ==>  3 pairs (_)
C2,C8: 6.. / C2 = 6 ==>  0 pairs (_) / C8 = 6 ==>  1 pairs (_)
A8,C8: 6.. / A8 = 6 ==>  0 pairs (_) / C8 = 6 ==>  1 pairs (_)
* DURATION: 0:00:57.042928  START: 03:54:38.018519  END: 03:55:35.061447 2020-10-26
* REASONING B9,C9: 1..
* DIS # C9: 1 # A4: 7,9 => CTR => A4: 2
* DIS # C9: 1 + A4: 2 # F6: 1,3 => CTR => F6: 6
* DIS # C9: 1 + A4: 2 + F6: 6 # G6: 1,3 => CTR => G6: 5,7
* DIS # C9: 1 + A4: 2 + F6: 6 + G6: 5,7 # H6: 1,3 => CTR => H6: 5
* DIS # C9: 1 + A4: 2 + F6: 6 + G6: 5,7 + H6: 5 # A2: 4,6 => CTR => A2: 7
* DIS # C9: 1 + A4: 2 + F6: 6 + G6: 5,7 + H6: 5 + A2: 7 => CTR => C9: 4,5,9
* STA C9: 4,5,9
* CNT   6 HDP CHAINS /  10 HYP OPENED
* REASONING E4,D6: 9..
* DIS # E4: 9 # G6: 1,3 => CTR => G6: 5,6,7
* CNT   1 HDP CHAINS /  36 HYP OPENED
* REASONING F6,G6: 6..
* DIS # F6: 6 # E1: 2,8 => CTR => E1: 5,6,7
* CNT   1 HDP CHAINS /  31 HYP OPENED
* REASONING E5,F6: 6..
* DIS # F6: 6 # E1: 2,8 => CTR => E1: 5,6,7
* CNT   1 HDP CHAINS /  31 HYP OPENED
* DCP COUNT: (7)
* CLUE FOUND

Header Info

500;203;elev;22;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B9,C9: 1..:

* DIS # C9: 1 # A4: 7,9 => CTR => A4: 2
* INC # C9: 1 + A4: 2 # D5: 1,3 => UNS
* INC # C9: 1 + A4: 2 # G5: 1,3 => UNS
* INC # C9: 1 + A4: 2 # D6: 1,3 => UNS
* DIS # C9: 1 + A4: 2 # F6: 1,3 => CTR => F6: 6
* DIS # C9: 1 + A4: 2 + F6: 6 # G6: 1,3 => CTR => G6: 5,7
* DIS # C9: 1 + A4: 2 + F6: 6 + G6: 5,7 # H6: 1,3 => CTR => H6: 5
* DIS # C9: 1 + A4: 2 + F6: 6 + G6: 5,7 + H6: 5 # A2: 4,6 => CTR => A2: 7
* DIS # C9: 1 + A4: 2 + F6: 6 + G6: 5,7 + H6: 5 + A2: 7 => CTR => C9: 4,5,9
* INC C9: 4,5,9 # B9: 1 => UNS
* STA C9: 4,5,9
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for E4,D6: 9..:

* INC # E4: 9 # A2: 2,7 => UNS
* INC # E4: 9 # A3: 2,7 => UNS
* INC # E4: 9 # B6: 1,7 => UNS
* INC # E4: 9 # C6: 1,7 => UNS
* INC # E4: 9 # G4: 1,7 => UNS
* INC # E4: 9 # G4: 3,8 => UNS
* INC # E4: 9 # F4: 1,3 => UNS
* INC # E4: 9 # D5: 1,3 => UNS
* INC # E4: 9 # F6: 1,3 => UNS
* INC # E4: 9 # B6: 1,3 => UNS
* DIS # E4: 9 # G6: 1,3 => CTR => G6: 5,6,7
* INC # E4: 9 + G6: 5,6,7 # H6: 1,3 => UNS
* INC # E4: 9 + G6: 5,6,7 # F4: 1,3 => UNS
* INC # E4: 9 + G6: 5,6,7 # D5: 1,3 => UNS
* INC # E4: 9 + G6: 5,6,7 # F6: 1,3 => UNS
* INC # E4: 9 + G6: 5,6,7 # B6: 1,3 => UNS
* INC # E4: 9 + G6: 5,6,7 # H6: 1,3 => UNS
* INC # E4: 9 + G6: 5,6,7 # A2: 2,7 => UNS
* INC # E4: 9 + G6: 5,6,7 # A3: 2,7 => UNS
* INC # E4: 9 + G6: 5,6,7 # B6: 1,7 => UNS
* INC # E4: 9 + G6: 5,6,7 # C6: 1,7 => UNS
* INC # E4: 9 + G6: 5,6,7 # G4: 1,7 => UNS
* INC # E4: 9 + G6: 5,6,7 # G4: 3,8 => UNS
* INC # E4: 9 + G6: 5,6,7 # F4: 1,3 => UNS
* INC # E4: 9 + G6: 5,6,7 # D5: 1,3 => UNS
* INC # E4: 9 + G6: 5,6,7 # F6: 1,3 => UNS
* INC # E4: 9 + G6: 5,6,7 # B6: 1,3 => UNS
* INC # E4: 9 + G6: 5,6,7 # H6: 1,3 => UNS
* INC # E4: 9 + G6: 5,6,7 => UNS
* INC # D6: 9 # F4: 2,8 => UNS
* INC # D6: 9 # D5: 2,8 => UNS
* INC # D6: 9 # E5: 2,8 => UNS
* INC # D6: 9 # E1: 2,8 => UNS
* INC # D6: 9 # E2: 2,8 => UNS
* INC # D6: 9 # E9: 2,8 => UNS
* INC # D6: 9 => UNS
* CNT  36 HDP CHAINS /  36 HYP OPENED

Full list of HDP chains traversed for F6,G6: 6..:

* INC # G6: 6 # E4: 2,9 => UNS
* INC # G6: 6 # E4: 8 => UNS
* INC # G6: 6 # A3: 2,9 => UNS
* INC # G6: 6 # A3: 6,7 => UNS
* INC # G6: 6 # B6: 1,9 => UNS
* INC # G6: 6 # C6: 1,9 => UNS
* INC # G6: 6 # C9: 1,9 => UNS
* INC # G6: 6 # C9: 4,5 => UNS
* INC # G6: 6 # F4: 1,3 => UNS
* INC # G6: 6 # D5: 1,3 => UNS
* INC # G6: 6 # D6: 1,3 => UNS
* INC # G6: 6 # B6: 1,3 => UNS
* INC # G6: 6 # H6: 1,3 => UNS
* INC # G6: 6 => UNS
* INC # F6: 6 # E4: 2,8 => UNS
* INC # F6: 6 # F4: 2,8 => UNS
* INC # F6: 6 # D5: 2,8 => UNS
* DIS # F6: 6 # E1: 2,8 => CTR => E1: 5,6,7
* INC # F6: 6 + E1: 5,6,7 # E2: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # E9: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # E4: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # F4: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # D5: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # E2: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # E9: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # E4: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # F4: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # D5: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # E2: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # E9: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for E5,F6: 6..:

* INC # E5: 6 # E4: 2,9 => UNS
* INC # E5: 6 # E4: 8 => UNS
* INC # E5: 6 # A3: 2,9 => UNS
* INC # E5: 6 # A3: 6,7 => UNS
* INC # E5: 6 # B6: 1,9 => UNS
* INC # E5: 6 # C6: 1,9 => UNS
* INC # E5: 6 # C9: 1,9 => UNS
* INC # E5: 6 # C9: 4,5 => UNS
* INC # E5: 6 # F4: 1,3 => UNS
* INC # E5: 6 # D5: 1,3 => UNS
* INC # E5: 6 # D6: 1,3 => UNS
* INC # E5: 6 # B6: 1,3 => UNS
* INC # E5: 6 # H6: 1,3 => UNS
* INC # E5: 6 => UNS
* INC # F6: 6 # E4: 2,8 => UNS
* INC # F6: 6 # F4: 2,8 => UNS
* INC # F6: 6 # D5: 2,8 => UNS
* DIS # F6: 6 # E1: 2,8 => CTR => E1: 5,6,7
* INC # F6: 6 + E1: 5,6,7 # E2: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # E9: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # E4: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # F4: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # D5: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # E2: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # E9: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # E4: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # F4: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # D5: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # E2: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 # E9: 2,8 => UNS
* INC # F6: 6 + E1: 5,6,7 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for B5,B6: 3..:

* INC # B6: 3 # C6: 1,9 => UNS
* INC # B6: 3 # C6: 5,7 => UNS
* INC # B6: 3 # G6: 1,6 => UNS
* INC # B6: 3 # G6: 5,7 => UNS
* INC # B6: 3 # F3: 1,6 => UNS
* INC # B6: 3 # F3: 2,5 => UNS
* INC # B6: 3 # G5: 1,5 => UNS
* INC # B6: 3 # G6: 1,5 => UNS
* INC # B6: 3 # C6: 1,5 => UNS
* INC # B6: 3 # C6: 7,9 => UNS
* INC # B6: 3 # H3: 1,5 => UNS
* INC # B6: 3 # H3: 2 => UNS
* INC # B6: 3 => UNS
* INC # B5: 3 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for C2,C8: 6..:

* INC # C8: 6 # B1: 4,7 => UNS
* INC # C8: 6 # A2: 4,7 => UNS
* INC # C8: 6 # D2: 4,7 => UNS
* INC # C8: 6 # D2: 1,2,8 => UNS
* INC # C8: 6 => UNS
* INC # C2: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for A8,C8: 6..:

* INC # C8: 6 # B1: 4,7 => UNS
* INC # C8: 6 # A2: 4,7 => UNS
* INC # C8: 6 # D2: 4,7 => UNS
* INC # C8: 6 # D2: 1,2,8 => UNS
* INC # C8: 6 => UNS
* INC # A8: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED