Analysis of xx-ph-00720162-12_12_19-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
Details
Solution
Appendix: Full HDP Chains

Original Sudoku

level: hard

position: ........1..2..3.4..5..246.....7....4..63...8.5...429....5.96....6.4.....49....... initial

Autosolve

position: ..4.....1..2..3.4..5..246.....7....4.463...8.5...429....5.964...6.4.....49....... autosolve

Pair Reduction Variants

Pair Reduction Analysis

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

Pair Reduction

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

Deep Pair Reduction

Time used: 0:00:31.035463

The following important HDP chains were detected:

* DIS # F5: 1,5 # D2: 1,8 => CTR => D2: 5,6,9
* PRF # F5: 1,5 + D2: 5,6,9 # D7: 1,8 => SOL
* STA # F5: 1,5 + D2: 5,6,9 + D7: 1,8
* CNT   2 HDP CHAINS /  51 HYP OPENED

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

Details

Positions

`........1..2..3.4..5..246.....7....4..63...8.5...429....5.96....6.4.....49.......`	initial
`..4.....1..2..3.4..5..246.....7....4.463...8.5...429....5.964...6.4.....49.......`	autosolve
`834567291672913845159824637213789564946351782587642913325196478768435129491278356`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
E5: 1,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G1,H1: 2.. / G1 = 2  =>  1 pairs (_) / H1 = 2  =>  1 pairs (_)
D7,D9: 2.. / D7 = 2  =>  1 pairs (_) / D9 = 2  =>  3 pairs (_)
B4,B7: 2.. / B4 = 2  =>  1 pairs (_) / B7 = 2  =>  3 pairs (_)
E8,E9: 3.. / E8 = 3  =>  1 pairs (_) / E9 = 3  =>  1 pairs (_)
A1,A2: 6.. / A1 = 6  =>  1 pairs (_) / A2 = 6  =>  1 pairs (_)
E4,D6: 6.. / E4 = 6  =>  2 pairs (_) / D6 = 6  =>  2 pairs (_)
H9,I9: 6.. / H9 = 6  =>  2 pairs (_) / I9 = 6  =>  2 pairs (_)
E4,H4: 6.. / E4 = 6  =>  2 pairs (_) / H4 = 6  =>  2 pairs (_)
I6,I9: 6.. / I6 = 6  =>  2 pairs (_) / I9 = 6  =>  2 pairs (_)
F4,F5: 9.. / F4 = 9  =>  9 pairs (_) / F5 = 9  =>  1 pairs (_)
H8,I8: 9.. / H8 = 9  =>  2 pairs (_) / I8 = 9  =>  1 pairs (_)
A5,F5: 9.. / A5 = 9  =>  9 pairs (_) / F5 = 9  =>  1 pairs (_)
C3,C4: 9.. / C3 = 9  =>  3 pairs (_) / C4 = 9  =>  1 pairs (_)
* DURATION: 0:00:08.813444  START: 12:24:58.336724  END: 12:25:07.150168 2020-12-30
* CP COUNT: (13)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:30.708936  START: 12:25:14.276620  END: 12:25:44.985556 2020-12-30
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00720162-12_12_19-base-pr-002.dot
* REASONING
* DIS # F5: 1,5 # D2: 1,8 => CTR => D2: 5,6,9
* PRF # F5: 1,5 + D2: 5,6,9 # D7: 1,8 => SOL
* STA # F5: 1,5 + D2: 5,6,9 + D7: 1,8
* CNT   2 HDP CHAINS /  51 HYP OPENED

Header Info

720162;12_12_19;dob;24;11.30;1.20;1.20

Solution

position: 834567291672913845159824637213789564946351782587642913325196478768435129491278356 solved

See section Deep Pair Reduction for the HDP chains leading to this result.

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # E4: 1,5 => UNS
* INC # F4: 1,5 => UNS
* INC # F5: 1,5 => UNS
* INC # G5: 1,5 => UNS
* INC # G5: 2,7 => UNS
* INC # E2: 1,5 => UNS
* INC # E8: 1,5 => UNS
* INC # E9: 1,5 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # E4: 1,5 => UNS
* INC # F4: 1,5 => UNS
* INC # F5: 1,5 => UNS
* INC # G5: 1,5 => UNS
* INC # G5: 2,7 => UNS
* INC # E2: 1,5 => UNS
* INC # E8: 1,5 => UNS
* INC # E9: 1,5 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # E4: 1,5 => UNS
* INC # F4: 1,5 => UNS
* INC # F5: 1,5 => UNS
* INC # G5: 1,5 => UNS
* INC # G5: 2,7 => UNS
* INC # E2: 1,5 => UNS
* INC # E8: 1,5 => UNS
* INC # E9: 1,5 => UNS
* INC # E4: 1,5 # G1: 5,7 => UNS
* INC # E4: 1,5 # H1: 5,7 => UNS
* INC # E4: 1,5 # F8: 5,7 => UNS
* INC # E4: 1,5 # F9: 5,7 => UNS
* INC # E4: 1,5 # G4: 1,5 => UNS
* INC # E4: 1,5 # G4: 2,3 => UNS
* INC # E4: 1,5 # G5: 1,5 => UNS
* INC # E4: 1,5 # G5: 2,7 => UNS
* INC # E4: 1,5 # H6: 3,7 => UNS
* INC # E4: 1,5 # H6: 1 => UNS
* INC # E4: 1,5 # B6: 3,7 => UNS
* INC # E4: 1,5 # C6: 3,7 => UNS
* INC # E4: 1,5 # I3: 3,7 => UNS
* INC # E4: 1,5 # I7: 3,7 => UNS
* INC # E4: 1,5 # I8: 3,7 => UNS
* INC # E4: 1,5 # D9: 2,8 => UNS
* INC # E4: 1,5 # D9: 5 => UNS
* INC # E4: 1,5 # A7: 2,8 => UNS
* INC # E4: 1,5 # B7: 2,8 => UNS
* INC # E4: 1,5 # I7: 2,8 => UNS
* INC # E4: 1,5 => UNS
* INC # F4: 1,5 # E1: 6,8 => UNS
* INC # F4: 1,5 # E2: 6,8 => UNS
* INC # F4: 1,5 # G4: 1,5 => UNS
* INC # F4: 1,5 # H4: 1,5 => UNS
* INC # F4: 1,5 # F8: 1,5 => UNS
* INC # F4: 1,5 # F9: 1,5 => UNS
* INC # F4: 1,5 # G5: 1,5 => UNS
* INC # F4: 1,5 # G5: 2,7 => UNS
* INC # F4: 1,5 # E2: 1,5 => UNS
* INC # F4: 1,5 # E8: 1,5 => UNS
* INC # F4: 1,5 # E9: 1,5 => UNS
* INC # F4: 1,5 # D1: 6,8 => UNS
* INC # F4: 1,5 # D2: 6,8 => UNS
* INC # F4: 1,5 => UNS
* DIS # F5: 1,5 # D2: 1,8 => CTR => D2: 5,6,9
* INC # F5: 1,5 + D2: 5,6,9 # E2: 1,8 => UNS
* INC # F5: 1,5 + D2: 5,6,9 # E2: 1,8 => UNS
* INC # F5: 1,5 + D2: 5,6,9 # E2: 5,6,7 => UNS
* INC # F5: 1,5 + D2: 5,6,9 # A3: 1,8 => UNS
* INC # F5: 1,5 + D2: 5,6,9 # A3: 3,7 => UNS
* PRF # F5: 1,5 + D2: 5,6,9 # D7: 1,8 => SOL
* STA # F5: 1,5 + D2: 5,6,9 + D7: 1,8
* CNT  50 HDP CHAINS /  51 HYP OPENED