Analysis of xx-ph-00027747-2011_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.......7..9..6....5.7..9..7..5..8...43..2.......1..6.5..4..6....2..3.......6..1 initial

Autosolve

position: 98.......7..9..6....5.7..9..7..5..8...43..2.......1..6.5..4..6....2..3.......6..1 autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

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

Pair Reduction

Pair Reduction

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

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:18.359240

The following important HDP chains were detected:

* DIS # D1: 4,6 # D7: 7 => CTR => D7: 1,8
* CNT   1 HDP CHAINS /  46 HYP OPENED

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000012

List of important HDP chains detected for F5,D6: 7..:

* DIS # F5: 7 # D1: 4,6 => CTR => D1: 1,5
* CNT   1 HDP CHAINS /  52 HYP OPENED

List of important HDP chains detected for E1,E5: 6..:

* DIS # E1: 6 # E6: 8,9 => CTR => E6: 2
* DIS # E1: 6 + E6: 2 # I4: 4,9 => CTR => I4: 3
* DIS # E1: 6 + E6: 2 + I4: 3 # G4: 1 => CTR => G4: 4,9
* PRF # E1: 6 + E6: 2 + I4: 3 + G4: 4,9 # I1: 4,5 => SOL
* STA # E1: 6 + E6: 2 + I4: 3 + G4: 4,9 + I1: 4,5
* CNT   4 HDP CHAINS /  33 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

98.......7..9..6....5.7..9..7..5..8...43..2.......1..6.5..4..6....2..3.......6..1 initial
98.......7..9..6....5.7..9..7..5..8...43..2.......1..6.5..4..6....2..3.......6..1 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
D4: 4,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G4,H5: 1.. / G4 = 1  =>  3 pairs (_) / H5 = 1  =>  3 pairs (_)
D7,E8: 1.. / D7 = 1  =>  2 pairs (_) / E8 = 1  =>  2 pairs (_)
F4,E6: 2.. / F4 = 2  =>  2 pairs (_) / E6 = 2  =>  3 pairs (_)
I7,H9: 2.. / I7 = 2  =>  1 pairs (_) / H9 = 2  =>  1 pairs (_)
I4,H6: 3.. / I4 = 3  =>  1 pairs (_) / H6 = 3  =>  5 pairs (_)
F7,E9: 3.. / F7 = 3  =>  2 pairs (_) / E9 = 3  =>  1 pairs (_)
A5,A6: 5.. / A5 = 5  =>  5 pairs (_) / A6 = 5  =>  1 pairs (_)
F8,D9: 5.. / F8 = 5  =>  3 pairs (_) / D9 = 5  =>  1 pairs (_)
D1,D9: 5.. / D1 = 5  =>  3 pairs (_) / D9 = 5  =>  1 pairs (_)
D4,E5: 6.. / D4 = 6  =>  1 pairs (_) / E5 = 6  =>  5 pairs (_)
E1,E5: 6.. / E1 = 6  =>  1 pairs (_) / E5 = 6  =>  5 pairs (_)
F5,D6: 7.. / F5 = 7  =>  4 pairs (_) / D6 = 7  =>  6 pairs (_)
* DURATION: 0:00:06.844722  START: 13:17:33.426299  END: 13:17:40.271021 2020-12-09
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F5,D6: 7.. / F5 = 7 ==>  5 pairs (_) / D6 = 7 ==>  6 pairs (_)
E1,E5: 6.. / E1 = 6 ==>  0 pairs (*) / E5 = 6 ==>  5 pairs (_)
* DURATION: 0:00:41.506225  START: 13:18:00.628401  END: 13:18:42.134626 2020-12-09
* REASONING F5,D6: 7..
* DIS # F5: 7 # D1: 4,6 => CTR => D1: 1,5
* CNT   1 HDP CHAINS /  52 HYP OPENED
* REASONING E1,E5: 6..
* DIS # E1: 6 # E6: 8,9 => CTR => E6: 2
* DIS # E1: 6 + E6: 2 # I4: 4,9 => CTR => I4: 3
* DIS # E1: 6 + E6: 2 + I4: 3 # G4: 1 => CTR => G4: 4,9
* PRF # E1: 6 + E6: 2 + I4: 3 + G4: 4,9 # I1: 4,5 => SOL
* STA # E1: 6 + E6: 2 + I4: 3 + G4: 4,9 + I1: 4,5
* CNT   4 HDP CHAINS /  33 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

27747;2011_12;GP;23;11.30;11.30;10.60

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # D1: 4,6 => UNS
* INC # D3: 4,6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D1: 4,6 => UNS
* INC # D3: 4,6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # D1: 4,6 => UNS
* INC # D3: 4,6 => UNS
* INC # D1: 4,6 # E2: 1,8 => UNS
* INC # D1: 4,6 # E2: 2,3 => UNS
* INC # D1: 4,6 # G3: 1,8 => UNS
* INC # D1: 4,6 # G3: 4 => UNS
* INC # D1: 4,6 # D7: 1,8 => UNS
* DIS # D1: 4,6 # D7: 7 => CTR => D7: 1,8
* INC # D1: 4,6 + D7: 1,8 # E2: 1,8 => UNS
* INC # D1: 4,6 + D7: 1,8 # E2: 2,3 => UNS
* INC # D1: 4,6 + D7: 1,8 # G3: 1,8 => UNS
* INC # D1: 4,6 + D7: 1,8 # G3: 4 => UNS
* INC # D1: 4,6 + D7: 1,8 # C4: 1,9 => UNS
* INC # D1: 4,6 + D7: 1,8 # C4: 2,3,6 => UNS
* INC # D1: 4,6 + D7: 1,8 # C4: 3,9 => UNS
* INC # D1: 4,6 + D7: 1,8 # C4: 1,2,6 => UNS
* INC # D1: 4,6 + D7: 1,8 # E2: 1,8 => UNS
* INC # D1: 4,6 + D7: 1,8 # E2: 2,3 => UNS
* INC # D1: 4,6 + D7: 1,8 # G3: 1,8 => UNS
* INC # D1: 4,6 + D7: 1,8 # G3: 4 => UNS
* INC # D1: 4,6 + D7: 1,8 # E5: 8,9 => UNS
* INC # D1: 4,6 + D7: 1,8 # E6: 8,9 => UNS
* INC # D1: 4,6 + D7: 1,8 # F7: 8,9 => UNS
* INC # D1: 4,6 + D7: 1,8 # F8: 8,9 => UNS
* INC # D1: 4,6 + D7: 1,8 # C4: 1,9 => UNS
* INC # D1: 4,6 + D7: 1,8 # C4: 2,3,6 => UNS
* INC # D1: 4,6 + D7: 1,8 # C4: 3,9 => UNS
* INC # D1: 4,6 + D7: 1,8 # C4: 1,2,6 => UNS
* INC # D1: 4,6 + D7: 1,8 # E8: 1,8 => UNS
* INC # D1: 4,6 + D7: 1,8 # E8: 9 => UNS
* INC # D1: 4,6 + D7: 1,8 # A7: 1,8 => UNS
* INC # D1: 4,6 + D7: 1,8 # C7: 1,8 => UNS
* INC # D1: 4,6 + D7: 1,8 => UNS
* INC # D3: 4,6 # G1: 1,5 => UNS
* INC # D3: 4,6 # H1: 1,5 => UNS
* INC # D3: 4,6 # A3: 4,6 => UNS
* INC # D3: 4,6 # B3: 4,6 => UNS
* INC # D3: 4,6 # F5: 7,8 => UNS
* INC # D3: 4,6 # F5: 9 => UNS
* INC # D3: 4,6 # D7: 7,8 => UNS
* INC # D3: 4,6 # D9: 7,8 => UNS
* INC # D3: 4,6 # C4: 1,9 => UNS
* INC # D3: 4,6 # C4: 2,3,6 => UNS
* INC # D3: 4,6 # C4: 3,9 => UNS
* INC # D3: 4,6 # C4: 1,2,6 => UNS
* INC # D3: 4,6 => UNS
* CNT  46 HDP CHAINS /  46 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F5,D6: 7..:

* INC # D6: 7 # D1: 4,6 => UNS
* INC # D6: 7 # D3: 4,6 => UNS
* INC # D6: 7 # E5: 8,9 => UNS
* INC # D6: 7 # E6: 8,9 => UNS
* INC # D6: 7 # F7: 8,9 => UNS
* INC # D6: 7 # F8: 8,9 => UNS
* INC # D6: 7 # C4: 1,9 => UNS
* INC # D6: 7 # C4: 2,3,6 => UNS
* INC # D6: 7 # C4: 3,9 => UNS
* INC # D6: 7 # C4: 1,2,6 => UNS
* INC # D6: 7 # E8: 1,8 => UNS
* INC # D6: 7 # E8: 9 => UNS
* INC # D6: 7 # A7: 1,8 => UNS
* INC # D6: 7 # C7: 1,8 => UNS
* INC # D6: 7 # D3: 1,8 => UNS
* INC # D6: 7 # D3: 4,6 => UNS
* INC # D6: 7 # F8: 5,8 => UNS
* INC # D6: 7 # F8: 7,9 => UNS
* INC # D6: 7 # G9: 5,8 => UNS
* INC # D6: 7 # G9: 4,7,9 => UNS
* INC # D6: 7 => UNS
* DIS # F5: 7 # D1: 4,6 => CTR => D1: 1,5
* INC # F5: 7 + D1: 1,5 # D3: 4,6 => UNS
* INC # F5: 7 + D1: 1,5 # D3: 4,6 => UNS
* INC # F5: 7 + D1: 1,5 # D3: 1,8 => UNS
* INC # F5: 7 + D1: 1,5 # D3: 4,6 => UNS
* INC # F5: 7 + D1: 1,5 # D3: 1,8 => UNS
* INC # F5: 7 + D1: 1,5 # D3: 4,8 => UNS
* INC # F5: 7 + D1: 1,5 # D3: 1,6 => UNS
* INC # F5: 7 + D1: 1,5 # A5: 1,5 => UNS
* INC # F5: 7 + D1: 1,5 # A5: 6,8 => UNS
* INC # F5: 7 + D1: 1,5 # H1: 1,5 => UNS
* INC # F5: 7 + D1: 1,5 # H2: 1,5 => UNS
* INC # F5: 7 + D1: 1,5 # G6: 5,9 => UNS
* INC # F5: 7 + D1: 1,5 # G6: 4,7 => UNS
* INC # F5: 7 + D1: 1,5 # I8: 5,9 => UNS
* INC # F5: 7 + D1: 1,5 # I8: 4,7,8 => UNS
* INC # F5: 7 + D1: 1,5 # G1: 1,5 => UNS
* INC # F5: 7 + D1: 1,5 # H1: 1,5 => UNS
* INC # F5: 7 + D1: 1,5 # D3: 4,6 => UNS
* INC # F5: 7 + D1: 1,5 # D3: 1,8 => UNS
* INC # F5: 7 + D1: 1,5 # D3: 4,8 => UNS
* INC # F5: 7 + D1: 1,5 # D3: 1,6 => UNS
* INC # F5: 7 + D1: 1,5 # A5: 1,5 => UNS
* INC # F5: 7 + D1: 1,5 # A5: 6,8 => UNS
* INC # F5: 7 + D1: 1,5 # H1: 1,5 => UNS
* INC # F5: 7 + D1: 1,5 # H2: 1,5 => UNS
* INC # F5: 7 + D1: 1,5 # G6: 5,9 => UNS
* INC # F5: 7 + D1: 1,5 # G6: 4,7 => UNS
* INC # F5: 7 + D1: 1,5 # I8: 5,9 => UNS
* INC # F5: 7 + D1: 1,5 # I8: 4,7,8 => UNS
* INC # F5: 7 + D1: 1,5 => UNS
* CNT  52 HDP CHAINS /  52 HYP OPENED

Full list of HDP chains traversed for E1,E5: 6..:

* INC # E5: 6 # C4: 1,9 => UNS
* INC # E5: 6 # C4: 2,3,6 => UNS
* INC # E5: 6 # B8: 1,9 => UNS
* INC # E5: 6 # B8: 4,6 => UNS
* INC # E5: 6 # E6: 2,9 => UNS
* INC # E5: 6 # E6: 8 => UNS
* INC # E5: 6 # C4: 2,9 => UNS
* INC # E5: 6 # C4: 1,3,6 => UNS
* INC # E5: 6 # F5: 7,8 => UNS
* INC # E5: 6 # F5: 9 => UNS
* INC # E5: 6 # D7: 7,8 => UNS
* INC # E5: 6 # D9: 7,8 => UNS
* INC # E5: 6 # C4: 1,9 => UNS
* INC # E5: 6 # C4: 2,3,6 => UNS
* INC # E5: 6 # C4: 3,9 => UNS
* INC # E5: 6 # C4: 1,2,6 => UNS
* INC # E5: 6 => UNS
* INC # E1: 6 # F5: 8,9 => UNS
* DIS # E1: 6 # E6: 8,9 => CTR => E6: 2
* INC # E1: 6 + E6: 2 # F5: 8,9 => UNS
* INC # E1: 6 + E6: 2 # F5: 7 => UNS
* INC # E1: 6 + E6: 2 # E8: 8,9 => UNS
* INC # E1: 6 + E6: 2 # E9: 8,9 => UNS
* INC # E1: 6 + E6: 2 # C4: 3,9 => UNS
* INC # E1: 6 + E6: 2 # C6: 3,9 => UNS
* INC # E1: 6 + E6: 2 # B9: 3,9 => UNS
* INC # E1: 6 + E6: 2 # B9: 2,4 => UNS
* INC # E1: 6 + E6: 2 # G4: 4,9 => UNS
* DIS # E1: 6 + E6: 2 # I4: 4,9 => CTR => I4: 3
* INC # E1: 6 + E6: 2 + I4: 3 # G4: 4,9 => UNS
* DIS # E1: 6 + E6: 2 + I4: 3 # G4: 1 => CTR => G4: 4,9
* PRF # E1: 6 + E6: 2 + I4: 3 + G4: 4,9 # I1: 4,5 => SOL
* STA # E1: 6 + E6: 2 + I4: 3 + G4: 4,9 + I1: 4,5
* CNT  32 HDP CHAINS /  33 HYP OPENED