Analysis of xx-ph-00001205-H281-base.sdk

Contents

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

Original Sudoku

level: hard

position: 98.7.......6.5........6.9..4......3..2......1..86..5...1...6..4..75..8.......3.2. initial

Autosolve

position: 98.7.......6.5........6.9..4......3..2......1..86..5...1...6..4..75..8.......3.2. 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: 0:00:09.722893

The following important HDP chains were detected:

* PRF # G2: 3,7 # I4: 2,6 => SOL
* STA # G2: 3,7 + I4: 2,6
* CNT   1 HDP CHAINS /   8 HYP OPENED

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

Details

Positions

`98.7.......6.5........6.9..4......3..2......1..86..5...1...6..4..75..8.......3.2.`	initial
`98.7.......6.5........6.9..4......3..2......1..86..5...1...6..4..75..8.......3.2.`	autosolve
`982731645746259318351468972479185236625397481138642597813926754297514863564873129`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
G7: 3,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C4,A6: 1.. / C4 = 1  =>  2 pairs (_) / A6 = 1  =>  2 pairs (_)
H8,G9: 1.. / H8 = 1  =>  2 pairs (_) / G9 = 1  =>  2 pairs (_)
G7,I8: 3.. / G7 = 3  =>  1 pairs (_) / I8 = 3  =>  5 pairs (_)
F4,F5: 5.. / F4 = 5  =>  2 pairs (_) / F5 = 5  =>  2 pairs (_)
H7,I9: 5.. / H7 = 5  =>  1 pairs (_) / I9 = 5  =>  4 pairs (_)
B4,A5: 6.. / B4 = 6  =>  2 pairs (_) / A5 = 6  =>  4 pairs (_)
E7,E9: 7.. / E7 = 7  =>  2 pairs (_) / E9 = 7  =>  2 pairs (_)
I4,H5: 8.. / I4 = 8  =>  1 pairs (_) / H5 = 8  =>  1 pairs (_)
A7,A9: 8.. / A7 = 8  =>  3 pairs (_) / A9 = 8  =>  1 pairs (_)
D2,F2: 9.. / D2 = 9  =>  2 pairs (_) / F2 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.977967  START: 05:11:31.358601  END: 05:11:38.336568 2020-11-26
* CP COUNT: (10)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:09.638404  START: 05:11:40.379679  END: 05:11:50.018083 2020-11-26
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00001205-H281-base-pr-002.dot
* REASONING
* PRF # G2: 3,7 # I4: 2,6 => SOL
* STA # G2: 3,7 + I4: 2,6
* CNT   1 HDP CHAINS /   8 HYP OPENED

Header Info

1205;H281;GP;22;11.30;11.30;2.60

Solution

position: 982731645746259318351468972479185236625397481138642597813926754297514863564873129 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 # G2: 3,7 => UNS
* INC # G2: 1,2,4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # G2: 3,7 => UNS
* INC # G2: 1,2,4 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # G2: 3,7 => UNS
* INC # G2: 1,2,4 => UNS
* INC # G2: 3,7 # I2: 3,7 => UNS
* INC # G2: 3,7 # I3: 3,7 => UNS
* INC # G2: 3,7 # A2: 3,7 => UNS
* INC # G2: 3,7 # B2: 3,7 => UNS
* PRF # G2: 3,7 # I4: 2,6 => SOL
* STA # G2: 3,7 + I4: 2,6
* CNT   7 HDP CHAINS /   8 HYP OPENED