Analysis of xx-ph-00011902-kz0-base.sdk

Contents

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

Original Sudoku

level: hard

position: 98.7.....6...9.7....7..5...5...4..3...86..9.......2..1.3......4..95..6......1..2. initial

Autosolve

position: 98.7.....6...9.7....7..5...5...4..3...86..9.......2..1.3......4..95..6......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: 0:00:11.045292

The following important HDP chains were detected:

* DIS # I4: 2,8 # B4: 7,9 => CTR => B4: 1,6
* PRF # I4: 2,8 + B4: 1,6 # A5: 2 => SOL
* STA # I4: 2,8 + B4: 1,6 + A5: 2
* CNT   2 HDP CHAINS /  11 HYP OPENED

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

Details

Positions

`98.7.....6...9.7....7..5...5...4..3...86..9.......2..1.3......4..95..6......1..2.`	initial
`98.7.....6...9.7....7..5...5...4..3...86..9.......2..1.3......4..95..6......1..2.`	autosolve
`984726315652193748317485296561947832248631957793852461835269174129574683476318529`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
G4: 2,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E5,E6: 5.. / E5 = 5  =>  3 pairs (_) / E6 = 5  =>  3 pairs (_)
B2,B9: 5.. / B2 = 5  =>  1 pairs (_) / B9 = 5  =>  7 pairs (_)
I4,H6: 6.. / I4 = 6  =>  2 pairs (_) / H6 = 6  =>  2 pairs (_)
H3,I3: 9.. / H3 = 9  =>  1 pairs (_) / I3 = 9  =>  2 pairs (_)
B4,B6: 9.. / B4 = 9  =>  3 pairs (_) / B6 = 9  =>  2 pairs (_)
H7,I9: 9.. / H7 = 9  =>  2 pairs (_) / I9 = 9  =>  1 pairs (_)
B6,D6: 9.. / B6 = 9  =>  2 pairs (_) / D6 = 9  =>  3 pairs (_)
H3,H7: 9.. / H3 = 9  =>  1 pairs (_) / H7 = 9  =>  2 pairs (_)
I3,I9: 9.. / I3 = 9  =>  2 pairs (_) / I9 = 9  =>  1 pairs (_)
* DURATION: 0:00:05.663288  START: 02:03:06.522786  END: 02:03:12.186074 2020-12-02
* CP COUNT: (9)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:10.966311  START: 02:03:15.492526  END: 02:03:26.458837 2020-12-02
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00011902-kz0-base-pr-002.dot
* REASONING
* DIS # I4: 2,8 # B4: 7,9 => CTR => B4: 1,6
* PRF # I4: 2,8 + B4: 1,6 # A5: 2 => SOL
* STA # I4: 2,8 + B4: 1,6 + A5: 2
* CNT   2 HDP CHAINS /  11 HYP OPENED

Header Info

11902;kz0;GP;23;11.30;11.30;10.60

Solution

position: 984726315652193748317485296561947832248631957793852461835269174129574683476318529 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 # I4: 2,8 => UNS
* INC # I4: 6,7 => UNS
* INC # G3: 2,8 => UNS
* INC # G3: 1,3,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # I4: 2,8 => UNS
* INC # I4: 6,7 => UNS
* INC # G3: 2,8 => UNS
* INC # G3: 1,3,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # I4: 2,8 => UNS
* INC # I4: 6,7 => UNS
* INC # G3: 2,8 => UNS
* INC # G3: 1,3,4 => UNS
* INC # I4: 2,8 # B4: 1,6 => UNS
* DIS # I4: 2,8 # B4: 7,9 => CTR => B4: 1,6
* INC # I4: 2,8 + B4: 1,6 # C7: 1,6 => UNS
* INC # I4: 2,8 + B4: 1,6 # C7: 2,5 => UNS
* INC # I4: 2,8 + B4: 1,6 # A5: 3,4 => UNS
* PRF # I4: 2,8 + B4: 1,6 # A5: 2 => SOL
* STA # I4: 2,8 + B4: 1,6 + A5: 2
* CNT  10 HDP CHAINS /  11 HYP OPENED