Analysis of xx-ph-00432822-12_12_03-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
- Deep Constraint Pair Analysis
Details
Appendix: Full HDP Chains
- A1. Deep Constraint Pair Analysis

Original Sudoku

level: deep

position: ........1.....2.3...3.4.5....4....65.3..5...47.....3....587.6....7.6.4..8....9... initial

Autosolve

position: .......41.....2.3...3.4.5....4....65.3..5...475....3....587.6....7.6.4..8....9... autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for F1,F8: 5..:

* DIS # F1: 5 # G1: 8,9 => CTR => G1: 2
* DIS # F1: 5 + G1: 2 # G5: 1 => CTR => G5: 8,9
* DIS # F1: 5 + G1: 2 + G5: 8,9 # D3: 6,7 => CTR => D3: 9
* DIS # F1: 5 + G1: 2 + G5: 8,9 + D3: 9 => CTR => F1: 3,6,7,8
* STA F1: 3,6,7,8
* CNT   4 HDP CHAINS /   6 HYP OPENED

List of important HDP chains detected for A2,D2: 5..:

* DIS # A2: 5 # F4: 1,3 => CTR => F4: 7,8
* CNT   1 HDP CHAINS /  19 HYP OPENED

List of important HDP chains detected for A1,A2: 5..:

* DIS # A2: 5 # F4: 1,3 => CTR => F4: 7,8
* CNT   1 HDP CHAINS /  19 HYP OPENED

List of important HDP chains detected for D9,H9: 5..:

* DIS # D9: 5 => CTR => D9: 1,2,3,4
* STA D9: 1,2,3,4
* CNT   1 HDP CHAINS /   2 HYP OPENED

List of important HDP chains detected for H8,H9: 5..:

* DIS # H8: 5 => CTR => H8: 1,2,8,9
* STA H8: 1,2,8,9
* CNT   1 HDP CHAINS /   2 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.....2.3...3.4.5....4....65.3..5...47.....3....587.6....7.6.4..8....9...`	initial
`.......41.....2.3...3.4.5....4....65.3..5...475....3....587.6....7.6.4..8....9...`	autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A7,A8: 3.. / A7 = 3  =>  2 pairs (_) / A8 = 3  =>  1 pairs (_)
A2,B2: 4.. / A2 = 4  =>  0 pairs (_) / B2 = 4  =>  2 pairs (_)
D6,F6: 4.. / D6 = 4  =>  0 pairs (_) / F6 = 4  =>  1 pairs (_)
F7,D9: 4.. / F7 = 4  =>  0 pairs (_) / D9 = 4  =>  1 pairs (_)
B9,D9: 4.. / B9 = 4  =>  0 pairs (_) / D9 = 4  =>  1 pairs (_)
A2,A7: 4.. / A2 = 4  =>  0 pairs (_) / A7 = 4  =>  2 pairs (_)
D6,D9: 4.. / D6 = 4  =>  0 pairs (_) / D9 = 4  =>  1 pairs (_)
F6,F7: 4.. / F6 = 4  =>  1 pairs (_) / F7 = 4  =>  0 pairs (_)
A1,A2: 5.. / A1 = 5  =>  0 pairs (_) / A2 = 5  =>  2 pairs (_)
H8,H9: 5.. / H8 = 5  =>  0 pairs (X) / H9 = 5  =>  0 pairs (_)
A2,D2: 5.. / A2 = 5  =>  2 pairs (_) / D2 = 5  =>  0 pairs (_)
D9,H9: 5.. / D9 = 5  =>  0 pairs (X) / H9 = 5  =>  0 pairs (_)
F1,F8: 5.. / F1 = 5  => 11 pairs (_) / F8 = 5  =>  0 pairs (_)
I2,I3: 6.. / I2 = 6  =>  0 pairs (_) / I3 = 6  =>  0 pairs (_)
B9,C9: 6.. / B9 = 6  =>  2 pairs (_) / C9 = 6  =>  2 pairs (_)
H8,I8: 8.. / H8 = 8  =>  0 pairs (_) / I8 = 8  =>  1 pairs (_)
* DURATION: 0:00:16.102843  START: 20:39:24.152685  END: 20:39:40.255528 2020-12-26
* CP COUNT: (16)
* CLUE FOUND

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F1,F8: 5.. / F1 = 5 ==>  0 pairs (X) / F8 = 5  =>  0 pairs (_)
B9,C9: 6.. / B9 = 6 ==>  2 pairs (_) / C9 = 6 ==>  2 pairs (_)
A7,A8: 3.. / A7 = 3 ==>  2 pairs (_) / A8 = 3 ==>  1 pairs (_)
A2,D2: 5.. / A2 = 5 ==>  3 pairs (_) / D2 = 5 ==>  0 pairs (_)
A1,A2: 5.. / A1 = 5 ==>  0 pairs (_) / A2 = 5 ==>  3 pairs (_)
A2,A7: 4.. / A2 = 4 ==>  0 pairs (_) / A7 = 4 ==>  2 pairs (_)
A2,B2: 4.. / A2 = 4 ==>  0 pairs (_) / B2 = 4 ==>  2 pairs (_)
H8,I8: 8.. / H8 = 8 ==>  0 pairs (_) / I8 = 8 ==>  1 pairs (_)
F6,F7: 4.. / F6 = 4 ==>  1 pairs (_) / F7 = 4 ==>  0 pairs (_)
D6,D9: 4.. / D6 = 4 ==>  0 pairs (_) / D9 = 4 ==>  1 pairs (_)
B9,D9: 4.. / B9 = 4 ==>  0 pairs (_) / D9 = 4 ==>  1 pairs (_)
F7,D9: 4.. / F7 = 4 ==>  0 pairs (_) / D9 = 4 ==>  1 pairs (_)
D6,F6: 4.. / D6 = 4 ==>  0 pairs (_) / F6 = 4 ==>  1 pairs (_)
I2,I3: 6.. / I2 = 6 ==>  0 pairs (_) / I3 = 6 ==>  0 pairs (_)
D9,H9: 5.. / D9 = 5  =>  0 pairs (X) / H9 = 5  =>  0 pairs (_)
H8,H9: 5.. / H8 = 5  =>  0 pairs (X) / H9 = 5  =>  0 pairs (_)
* DURATION: 0:02:01.636183  START: 20:39:40.256554  END: 20:41:41.892737 2020-12-26
* REASONING F1,F8: 5..
* DIS # F1: 5 # G1: 8,9 => CTR => G1: 2
* DIS # F1: 5 + G1: 2 # G5: 1 => CTR => G5: 8,9
* DIS # F1: 5 + G1: 2 + G5: 8,9 # D3: 6,7 => CTR => D3: 9
* DIS # F1: 5 + G1: 2 + G5: 8,9 + D3: 9 => CTR => F1: 3,6,7,8
* STA F1: 3,6,7,8
* CNT   4 HDP CHAINS /   6 HYP OPENED
* REASONING A2,D2: 5..
* DIS # A2: 5 # F4: 1,3 => CTR => F4: 7,8
* CNT   1 HDP CHAINS /  19 HYP OPENED
* REASONING A1,A2: 5..
* DIS # A2: 5 # F4: 1,3 => CTR => F4: 7,8
* CNT   1 HDP CHAINS /  19 HYP OPENED
* REASONING D9,H9: 5..
* DIS # D9: 5 => CTR => D9: 1,2,3,4
* STA D9: 1,2,3,4
* CNT   1 HDP CHAINS /   2 HYP OPENED
* REASONING H8,H9: 5..
* DIS # H8: 5 => CTR => H8: 1,2,8,9
* STA H8: 1,2,8,9
* CNT   1 HDP CHAINS /   2 HYP OPENED
* DCP COUNT: (16)
* CLUE FOUND

Header Info

432822;12_12_03;dob;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F1,F8: 5..:

* DIS # F1: 5 # G1: 8,9 => CTR => G1: 2
* INC # F1: 5 + G1: 2 # G5: 8,9 => UNS
* DIS # F1: 5 + G1: 2 # G5: 1 => CTR => G5: 8,9
* DIS # F1: 5 + G1: 2 + G5: 8,9 # D3: 6,7 => CTR => D3: 9
* DIS # F1: 5 + G1: 2 + G5: 8,9 + D3: 9 => CTR => F1: 3,6,7,8
* INC F1: 3,6,7,8 # F8: 5 => UNS
* STA F1: 3,6,7,8
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for B9,C9: 6..:

* INC # B9: 6 # A7: 1,2 => UNS
* INC # B9: 6 # B7: 1,2 => UNS
* INC # B9: 6 # A8: 1,2 => UNS
* INC # B9: 6 # B8: 1,2 => UNS
* INC # B9: 6 # E9: 1,2 => UNS
* INC # B9: 6 # G9: 1,2 => UNS
* INC # B9: 6 # C5: 1,2 => UNS
* INC # B9: 6 # C6: 1,2 => UNS
* INC # B9: 6 # D8: 1,3 => UNS
* INC # B9: 6 # F8: 1,3 => UNS
* INC # B9: 6 # E9: 1,3 => UNS
* INC # B9: 6 # A7: 1,3 => UNS
* INC # B9: 6 # A7: 2,4,9 => UNS
* INC # B9: 6 # F4: 1,3 => UNS
* INC # B9: 6 # F4: 7,8 => UNS
* INC # B9: 6 => UNS
* INC # C9: 6 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for A7,A8: 3..:

* INC # A7: 3 # D9: 1,4 => UNS
* INC # A7: 3 # D9: 2,3 => UNS
* INC # A7: 3 # B7: 1,4 => UNS
* INC # A7: 3 # B7: 2,9 => UNS
* INC # A7: 3 # F6: 1,4 => UNS
* INC # A7: 3 # F6: 6,8 => UNS
* INC # A7: 3 # H7: 2,9 => UNS
* INC # A7: 3 # H8: 2,9 => UNS
* INC # A7: 3 # I8: 2,9 => UNS
* INC # A7: 3 # B7: 2,9 => UNS
* INC # A7: 3 # B7: 1,4 => UNS
* INC # A7: 3 # I3: 2,9 => UNS
* INC # A7: 3 # I6: 2,9 => UNS
* INC # A7: 3 => UNS
* INC # A8: 3 # D8: 1,5 => UNS
* INC # A8: 3 # D9: 1,5 => UNS
* INC # A8: 3 # H8: 1,5 => UNS
* INC # A8: 3 # H8: 2,8,9 => UNS
* INC # A8: 3 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for A2,D2: 5..:

* INC # A2: 5 # E9: 1,3 => UNS
* INC # A2: 5 # E9: 2 => UNS
* DIS # A2: 5 # F4: 1,3 => CTR => F4: 7,8
* INC # A2: 5 + F4: 7,8 # E9: 1,3 => UNS
* INC # A2: 5 + F4: 7,8 # E9: 2 => UNS
* INC # A2: 5 + F4: 7,8 # D8: 1,5 => UNS
* INC # A2: 5 + F4: 7,8 # D8: 2 => UNS
* INC # A2: 5 + F4: 7,8 # F5: 7,8 => UNS
* INC # A2: 5 + F4: 7,8 # F5: 1,6 => UNS
* INC # A2: 5 + F4: 7,8 # G4: 7,8 => UNS
* INC # A2: 5 + F4: 7,8 # G4: 1,2,9 => UNS
* INC # A2: 5 + F4: 7,8 # F1: 7,8 => UNS
* INC # A2: 5 + F4: 7,8 # F3: 7,8 => UNS
* INC # A2: 5 + F4: 7,8 # E9: 1,3 => UNS
* INC # A2: 5 + F4: 7,8 # E9: 2 => UNS
* INC # A2: 5 + F4: 7,8 # D8: 1,5 => UNS
* INC # A2: 5 + F4: 7,8 # D8: 2 => UNS
* INC # A2: 5 + F4: 7,8 => UNS
* INC # D2: 5 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for A1,A2: 5..:

* INC # A2: 5 # E9: 1,3 => UNS
* INC # A2: 5 # E9: 2 => UNS
* DIS # A2: 5 # F4: 1,3 => CTR => F4: 7,8
* INC # A2: 5 + F4: 7,8 # E9: 1,3 => UNS
* INC # A2: 5 + F4: 7,8 # E9: 2 => UNS
* INC # A2: 5 + F4: 7,8 # D8: 1,5 => UNS
* INC # A2: 5 + F4: 7,8 # D8: 2 => UNS
* INC # A2: 5 + F4: 7,8 # F5: 7,8 => UNS
* INC # A2: 5 + F4: 7,8 # F5: 1,6 => UNS
* INC # A2: 5 + F4: 7,8 # G4: 7,8 => UNS
* INC # A2: 5 + F4: 7,8 # G4: 1,2,9 => UNS
* INC # A2: 5 + F4: 7,8 # F1: 7,8 => UNS
* INC # A2: 5 + F4: 7,8 # F3: 7,8 => UNS
* INC # A2: 5 + F4: 7,8 # E9: 1,3 => UNS
* INC # A2: 5 + F4: 7,8 # E9: 2 => UNS
* INC # A2: 5 + F4: 7,8 # D8: 1,5 => UNS
* INC # A2: 5 + F4: 7,8 # D8: 2 => UNS
* INC # A2: 5 + F4: 7,8 => UNS
* INC # A1: 5 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for A2,A7: 4..:

* INC # A7: 4 # E9: 1,3 => UNS
* INC # A7: 4 # E9: 2 => UNS
* INC # A7: 4 # F4: 1,3 => UNS
* INC # A7: 4 # F4: 7,8 => UNS
* INC # A7: 4 # D8: 1,5 => UNS
* INC # A7: 4 # D8: 2 => UNS
* INC # A7: 4 => UNS
* INC # A2: 4 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for A2,B2: 4..:

* INC # B2: 4 # E9: 1,3 => UNS
* INC # B2: 4 # E9: 2 => UNS
* INC # B2: 4 # F4: 1,3 => UNS
* INC # B2: 4 # F4: 7,8 => UNS
* INC # B2: 4 # D8: 1,5 => UNS
* INC # B2: 4 # D8: 2 => UNS
* INC # B2: 4 => UNS
* INC # A2: 4 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for H8,I8: 8..:

* INC # I8: 8 # G4: 2,9 => UNS
* INC # I8: 8 # G5: 2,9 => UNS
* INC # I8: 8 # H5: 2,9 => UNS
* INC # I8: 8 # H6: 2,9 => UNS
* INC # I8: 8 # C6: 2,9 => UNS
* INC # I8: 8 # D6: 2,9 => UNS
* INC # I8: 8 # E6: 2,9 => UNS
* INC # I8: 8 # I3: 2,9 => UNS
* INC # I8: 8 # I7: 2,9 => UNS
* INC # I8: 8 => UNS
* INC # H8: 8 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for F6,F7: 4..:

* INC # F6: 4 # D8: 1,3 => UNS
* INC # F6: 4 # F8: 1,3 => UNS
* INC # F6: 4 # E9: 1,3 => UNS
* INC # F6: 4 # A7: 1,3 => UNS
* INC # F6: 4 # A7: 2,4,9 => UNS
* INC # F6: 4 # F4: 1,3 => UNS
* INC # F6: 4 # F4: 7,8 => UNS
* INC # F6: 4 => UNS
* INC # F7: 4 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for D6,D9: 4..:

* INC # D9: 4 # D8: 1,3 => UNS
* INC # D9: 4 # F8: 1,3 => UNS
* INC # D9: 4 # E9: 1,3 => UNS
* INC # D9: 4 # A7: 1,3 => UNS
* INC # D9: 4 # A7: 2,4,9 => UNS
* INC # D9: 4 # F4: 1,3 => UNS
* INC # D9: 4 # F4: 7,8 => UNS
* INC # D9: 4 => UNS
* INC # D6: 4 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for B9,D9: 4..:

* INC # D9: 4 # D8: 1,3 => UNS
* INC # D9: 4 # F8: 1,3 => UNS
* INC # D9: 4 # E9: 1,3 => UNS
* INC # D9: 4 # A7: 1,3 => UNS
* INC # D9: 4 # A7: 2,4,9 => UNS
* INC # D9: 4 # F4: 1,3 => UNS
* INC # D9: 4 # F4: 7,8 => UNS
* INC # D9: 4 => UNS
* INC # B9: 4 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for F7,D9: 4..:

* INC # D9: 4 # D8: 1,3 => UNS
* INC # D9: 4 # F8: 1,3 => UNS
* INC # D9: 4 # E9: 1,3 => UNS
* INC # D9: 4 # A7: 1,3 => UNS
* INC # D9: 4 # A7: 2,4,9 => UNS
* INC # D9: 4 # F4: 1,3 => UNS
* INC # D9: 4 # F4: 7,8 => UNS
* INC # D9: 4 => UNS
* INC # F7: 4 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for D6,F6: 4..:

* INC # F6: 4 # D8: 1,3 => UNS
* INC # F6: 4 # F8: 1,3 => UNS
* INC # F6: 4 # E9: 1,3 => UNS
* INC # F6: 4 # A7: 1,3 => UNS
* INC # F6: 4 # A7: 2,4,9 => UNS
* INC # F6: 4 # F4: 1,3 => UNS
* INC # F6: 4 # F4: 7,8 => UNS
* INC # F6: 4 => UNS
* INC # D6: 4 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for I2,I3: 6..:

* INC # I2: 6 => UNS
* INC # I3: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D9,H9: 5..:

* DIS # D9: 5 => CTR => D9: 1,2,3,4
* INC D9: 1,2,3,4 # H9: 5 => UNS
* STA D9: 1,2,3,4
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H8,H9: 5..:

* DIS # H8: 5 => CTR => H8: 1,2,8,9
* INC H8: 1,2,8,9 # H9: 5 => UNS
* STA H8: 1,2,8,9
* CNT   2 HDP CHAINS /   2 HYP OPENED