Analysis of xx-ph-00014559-kz1a-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7.....65....7....7.9.....4..5..3...58..9.......2..1..65..8......1...2.....3.4. initial

Autosolve

position: 98.7.....65....7....7.9.....4..5..3...58..9.......2..1..65..8......1...2.....3.4. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

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

Pair Reduction

Pair Reduction

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

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:37.858078

The following important HDP chains were detected:

* DIS # G1: 2,6 # G3: 4,5 => CTR => G3: 1,3
* PRF # G1: 2,6 + G3: 1,3 # D3: 1,3 => SOL
* STA # G1: 2,6 + G3: 1,3 + D3: 1,3
* CNT   2 HDP CHAINS /  53 HYP OPENED

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

Details

Positions

98.7.....65....7....7.9.....4..5..3...58..9.......2..1..65..8......1...2.....3.4. initial
98.7.....65....7....7.9.....4..5..3...58..9.......2..1..65..8......1...2.....3.4. autosolve
981735264653428719427196385142957638365841927798362451216574893834619572579283146 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
G4: 2,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H7,G9: 1.. / H7 = 1  =>  2 pairs (_) / G9 = 1  =>  2 pairs (_)
G4,H5: 2.. / G4 = 2  =>  1 pairs (_) / H5 = 2  =>  6 pairs (_)
I7,G8: 3.. / I7 = 3  =>  2 pairs (_) / G8 = 3  =>  3 pairs (_)
I5,G6: 4.. / I5 = 4  =>  2 pairs (_) / G6 = 4  =>  2 pairs (_)
F1,F3: 5.. / F1 = 5  =>  1 pairs (_) / F3 = 5  =>  1 pairs (_)
G6,H6: 5.. / G6 = 5  =>  3 pairs (_) / H6 = 5  =>  2 pairs (_)
A8,A9: 5.. / A8 = 5  =>  2 pairs (_) / A9 = 5  =>  2 pairs (_)
B5,B6: 6.. / B5 = 6  =>  3 pairs (_) / B6 = 6  =>  2 pairs (_)
I4,H6: 8.. / I4 = 8  =>  1 pairs (_) / H6 = 8  =>  6 pairs (_)
F8,E9: 8.. / F8 = 8  =>  2 pairs (_) / E9 = 8  =>  1 pairs (_)
E2,E9: 8.. / E2 = 8  =>  2 pairs (_) / E9 = 8  =>  1 pairs (_)
H2,I2: 9.. / H2 = 9  =>  2 pairs (_) / I2 = 9  =>  2 pairs (_)
* DURATION: 0:00:08.032742  START: 06:26:28.769891  END: 06:26:36.802633 2020-12-03
* CP COUNT: (12)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:37.583799  START: 06:26:40.419755  END: 06:27:18.003554 2020-12-03
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00014559-kz1a-base-pr-002.dot
* REASONING
* DIS # G1: 2,6 # G3: 4,5 => CTR => G3: 1,3
* PRF # G1: 2,6 + G3: 1,3 # D3: 1,3 => SOL
* STA # G1: 2,6 + G3: 1,3 + D3: 1,3
* CNT   2 HDP CHAINS /  53 HYP OPENED

Header Info

14559;kz1a;GP;23;11.30;11.30;10.00

Solution

position: 981735264653428719427196385142957638365841927798362451216574893834619572579283146 solved
Solution

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 # H5: 2,6 => UNS
* INC # H5: 7 => UNS
* INC # G1: 2,6 => UNS
* INC # G3: 2,6 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # H5: 2,6 => UNS
* INC # H5: 7 => UNS
* INC # G1: 2,6 => UNS
* INC # G3: 2,6 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # H5: 2,6 => UNS
* INC # H5: 7 => UNS
* INC # G1: 2,6 => UNS
* INC # G3: 2,6 => UNS
* INC # H5: 2,6 # G1: 2,6 => UNS
* INC # H5: 2,6 # G3: 2,6 => UNS
* INC # H5: 2,6 # H6: 7,8 => UNS
* INC # H5: 2,6 # H6: 5 => UNS
* INC # H5: 2,6 # A4: 7,8 => UNS
* INC # H5: 2,6 # A4: 1,2 => UNS
* INC # H5: 2,6 # B5: 2,6 => UNS
* INC # H5: 2,6 # B5: 1,3,7 => UNS
* INC # H5: 2,6 # H1: 2,6 => UNS
* INC # H5: 2,6 # H3: 2,6 => UNS
* INC # H5: 2,6 # E5: 4,7 => UNS
* INC # H5: 2,6 # F5: 4,7 => UNS
* INC # H5: 2,6 # G1: 4,5 => UNS
* INC # H5: 2,6 # G3: 4,5 => UNS
* INC # H5: 2,6 => UNS
* INC # H5: 7 # H6: 6,8 => UNS
* INC # H5: 7 # H6: 5 => UNS
* INC # H5: 7 # I3: 6,8 => UNS
* INC # H5: 7 # I3: 3,4,5 => UNS
* INC # H5: 7 # G6: 4,6 => UNS
* INC # H5: 7 # G6: 5 => UNS
* INC # H5: 7 # E5: 4,6 => UNS
* INC # H5: 7 # F5: 4,6 => UNS
* INC # H5: 7 # I1: 4,6 => UNS
* INC # H5: 7 # I3: 4,6 => UNS
* INC # H5: 7 # B7: 1,9 => UNS
* INC # H5: 7 # B7: 2,3,7 => UNS
* INC # H5: 7 # H2: 1,9 => UNS
* INC # H5: 7 # H2: 2,8 => UNS
* INC # H5: 7 => UNS
* INC # G1: 2,6 # H1: 2,6 => UNS
* INC # G1: 2,6 # H3: 2,6 => UNS
* INC # G1: 2,6 # E1: 2,6 => UNS
* INC # G1: 2,6 # E1: 3,4 => UNS
* INC # G1: 2,6 # H5: 2,6 => UNS
* INC # G1: 2,6 # H5: 7 => UNS
* DIS # G1: 2,6 # G3: 4,5 => CTR => G3: 1,3
* INC # G1: 2,6 + G3: 1,3 # A8: 3,5 => UNS
* INC # G1: 2,6 + G3: 1,3 # A8: 4,7,8 => UNS
* INC # G1: 2,6 + G3: 1,3 # A9: 1,5 => UNS
* INC # G1: 2,6 + G3: 1,3 # A9: 2,7,8 => UNS
* INC # G1: 2,6 + G3: 1,3 # H1: 2,6 => UNS
* INC # G1: 2,6 + G3: 1,3 # H3: 2,6 => UNS
* INC # G1: 2,6 + G3: 1,3 # E1: 2,6 => UNS
* INC # G1: 2,6 + G3: 1,3 # E1: 3,4 => UNS
* INC # G1: 2,6 + G3: 1,3 # A3: 1,3 => UNS
* INC # G1: 2,6 + G3: 1,3 # B3: 1,3 => UNS
* PRF # G1: 2,6 + G3: 1,3 # D3: 1,3 => SOL
* STA # G1: 2,6 + G3: 1,3 + D3: 1,3
* CNT  52 HDP CHAINS /  53 HYP OPENED