Analysis of xx-ph-00059091-12_10-base.sdk

Contents

Original Sudoku

level: medium

Original Sudoku

position: 98.7..6..75..6......6......4..3...2...5.9.7.......4..6.1...2.37..7.5.8..........1 initial

Autosolve

position: 98.7..6..75..6......6....7.4..3...2...5.9.7.......4..6.1...2.37..7.5.8..........1 autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

The following important HDP chains were detected:

* PRF # D7: 4,8 => SOL
* CNT   1 HDP CHAINS /   8 HYP OPENED

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

Pair Reduction

Pair Reduction

The following important HDP chains were detected:

* PRF # D7: 4,8 => SOL
* STA D7: 4,8
* CNT   1 HDP CHAINS /   1 HYP OPENED

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

Details

Positions

98.7..6..75..6......6......4..3...2...5.9.7.......4..6.1...2.37..7.5.8..........1 initial
98.7..6..75..6......6....7.4..3...2...5.9.7.......4..6.1...2.37..7.5.8..........1 autosolve
984713652752468319136925478471386925865291743293574186619842537327159864548637291 solved

Classification

level: medium

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
E7: 4,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D8,F8: 1.. / D8 = 1  =>  1 pairs (_) / F8 = 1  =>  5 pairs (_)
I8,G9: 2.. / I8 = 2  =>  2 pairs (_) / G9 = 2  =>  2 pairs (_)
I5,G6: 3.. / I5 = 3  =>  4 pairs (_) / G6 = 3  =>  2 pairs (_)
H5,I5: 4.. / H5 = 4  =>  4 pairs (_) / I5 = 4  =>  3 pairs (_)
F4,D6: 5.. / F4 = 5  => 10 pairs (_) / D6 = 5  =>  1 pairs (_)
A7,A9: 5.. / A7 = 5  =>  2 pairs (_) / A9 = 5  =>  3 pairs (_)
A7,G7: 5.. / A7 = 5  =>  2 pairs (_) / G7 = 5  =>  3 pairs (_)
D3,D6: 5.. / D3 = 5  => 10 pairs (_) / D6 = 5  =>  1 pairs (_)
H8,H9: 6.. / H8 = 6  =>  2 pairs (_) / H9 = 6  =>  3 pairs (_)
B4,F4: 6.. / B4 = 6  =>  6 pairs (_) / F4 = 6  =>  3 pairs (_)
A7,D7: 6.. / A7 = 6  =>  7 pairs (_) / D7 = 6  =>  2 pairs (_)
B4,B6: 7.. / B4 = 7  =>  4 pairs (_) / B6 = 7  =>  2 pairs (_)
E9,F9: 7.. / E9 = 7  =>  8 pairs (_) / F9 = 7  =>  1 pairs (_)
B6,E6: 7.. / B6 = 7  =>  2 pairs (_) / E6 = 7  =>  4 pairs (_)
F4,F9: 7.. / F4 = 7  =>  8 pairs (_) / F9 = 7  =>  1 pairs (_)
* DURATION: 0:00:09.498501  START: 07:51:00.295502  END: 07:51:09.794003 2020-12-21
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (E7)
* 98.7..6..75..6......6....7.4..3...2...5.9.7.......4..6.1...2.37..7.5.8..........1
* PAIR E7: 4,8 BLK 8
D7: 4,8,6,9                              # reduction candidate for 4,8
D7: 4,8 => SOLVED
* 984713652752468319136925478471386925865291743293574186619842537327159864548637291
D7: 6,9                                  #  2 pairs
D9: 4,8,6,9                              # reduction candidate for 4,8
D9: 4,8                                  #  4 pairs
E9: 4,8,3,7                              # reduction candidate for 4,8
E9: 4,8                                  #  8 pairs
* PAIR E7: 4,8 ROW 7
C7: 4,8,9                                # reduction candidate for 4,8
C7: 9                                    #  6 pairs
C7: 4,8                                  #  5 pairs
* PAIR E7: 4,8 COL E
E3: 4,8,1,2,3                            # reduction candidate for 4,8
E3: 4,8                                  #  4 pairs
E3: 1,2,3                                #  1 pairs
* INCONCLUSIVE
* SAVE PR GRAPH xx-ph-00059091-12_10-base-pr-000.dot
* REASONING
* PRF # D7: 4,8 => SOL
* CNT   1 HDP CHAINS /   8 HYP OPENED

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (E7)
* 98.7..6..75..6......6....7.4..3...2...5.9.7.......4..6.1...2.37..7.5.8..........1
* PAIR E7: 4,8 BLK 8
D7: 4,8,6,9                              # reduction candidate for 4,8
D7: 4,8 => SOLVED
* 984713652752468319136925478471386925865291743293574186619842537327159864548637291
* DURATION: 0:00:01.665651  START: 07:51:13.335487  END: 07:51:15.001138 2020-12-21
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00059091-12_10-base-pr-001.dot
* REASONING
* PRF # D7: 4,8 => SOL
* STA D7: 4,8
* CNT   1 HDP CHAINS /   1 HYP OPENED

Header Info

59091;12_10;GP;24;11.30;1.20;1.20

Solution

position: 984713652752468319136925478471386925865291743293574186619842537327159864548637291 solved
Solution

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

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* PRF # D7: 4,8 => SOL
* INC # D7: 6,9 => UNS
* INC # D9: 4,8 => UNS
* INC # E9: 4,8 => UNS
* INC # C7: 4,8 => UNS
* INC # C7: 9 => UNS
* INC # E3: 4,8 => UNS
* INC # E3: 1,2,3 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* PRF # D7: 4,8 => SOL
* STA D7: 4,8
* CNT   1 HDP CHAINS /   1 HYP OPENED