Analysis of xx-ph-00028418-2011_12-base.sdk

Contents

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

Original Sudoku

level: hard

position: 98.7..6....7.5..4......9...3.......8.6.3.......5.7..2...1..74.....5.4.1.....1...2 initial

Autosolve

position: 98.7..6....7.5..4......9...3.......8.6.3.......5.7..2...1..74.....5.4.1.....1...2 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: 0:00:08.275682

The following important HDP chains were detected:

* PRF # I1: 3,5 # C3: 2,4 => SOL
* STA # I1: 3,5 + C3: 2,4
* CNT   1 HDP CHAINS /   8 HYP OPENED

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

Details

Positions

`98.7..6....7.5..4......9...3.......8.6.3.......5.7..2...1..74.....5.4.1.....1...2`	initial
`98.7..6....7.5..4......9...3.......8.6.3.......5.7..2...1..74.....5.4.1.....1...2`	autosolve
`984721635617853249532469871329145768768392154145678923851237496296584317473916582`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
H1: 3,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F1,I1: 1.. / F1 = 1  =>  8 pairs (_) / I1 = 1  =>  4 pairs (_)
G2,G3: 2.. / G2 = 2  =>  3 pairs (_) / G3 = 2  =>  1 pairs (_)
G6,I6: 3.. / G6 = 3  =>  1 pairs (_) / I6 = 3  =>  5 pairs (_)
I5,I6: 4.. / I5 = 4  =>  1 pairs (_) / I6 = 4  =>  3 pairs (_)
C1,E1: 4.. / C1 = 4  =>  3 pairs (_) / E1 = 4  =>  2 pairs (_)
A3,B3: 5.. / A3 = 5  =>  1 pairs (_) / B3 = 5  =>  1 pairs (_)
H1,I1: 5.. / H1 = 5  =>  2 pairs (_) / I1 = 5  =>  6 pairs (_)
F4,F5: 5.. / F4 = 5  =>  1 pairs (_) / F5 = 5  =>  2 pairs (_)
H4,I6: 6.. / H4 = 6  =>  1 pairs (_) / I6 = 6  =>  2 pairs (_)
B4,A5: 7.. / B4 = 7  =>  1 pairs (_) / A5 = 7  =>  2 pairs (_)
G2,I2: 9.. / G2 = 9  =>  3 pairs (_) / I2 = 9  =>  1 pairs (_)
* DURATION: 0:00:07.863026  START: 06:12:16.074006  END: 06:12:23.937032 2020-12-10
* CP COUNT: (11)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:08.203286  START: 06:12:27.635695  END: 06:12:35.838981 2020-12-10
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00028418-2011_12-base-pr-002.dot
* REASONING
* PRF # I1: 3,5 # C3: 2,4 => SOL
* STA # I1: 3,5 + C3: 2,4
* CNT   1 HDP CHAINS /   8 HYP OPENED

Header Info

28418;2011_12;GP;23;11.30;11.30;2.60

Solution

position: 984721635617853249532469871329145768768392154145678923851237496296584317473916582 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 # I1: 3,5 => UNS
* INC # I1: 1 => UNS
* INC # H7: 3,5 => UNS
* INC # H9: 3,5 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # I1: 3,5 => UNS
* INC # I1: 1 => UNS
* INC # H7: 3,5 => UNS
* INC # H9: 3,5 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # I1: 3,5 => UNS
* INC # I1: 1 => UNS
* INC # H7: 3,5 => UNS
* INC # H9: 3,5 => UNS
* INC # I1: 3,5 # A3: 2,4 => UNS
* INC # I1: 3,5 # B3: 2,4 => UNS
* PRF # I1: 3,5 # C3: 2,4 => SOL
* STA # I1: 3,5 + C3: 2,4
* CNT   7 HDP CHAINS /   8 HYP OPENED