Analysis of xx-ph-01115781-13_09-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6..5.4.......3..9....6...3.8......8..52.....1....7.3..9....5.....4.....2.1. initial

Autosolve

position: 98.7..6..5.4.......3..9....6...3.8......8..52.....1....7.3..9....5.....4.....2.1. 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: 0:00:34.105444

The following important HDP chains were detected:

* DIS # A3: 1,2 # B4: 4,9 => CTR => B4: 1,2,5
* DIS # A3: 1,2 + B4: 1,2,5 # B6: 4,9 => CTR => B6: 2,5
* PRF # A3: 1,2 + B4: 1,2,5 + B6: 2,5 # B5: 1 => SOL
* STA # A3: 1,2 + B4: 1,2,5 + B6: 2,5 + B5: 1
* CNT   3 HDP CHAINS /  40 HYP OPENED

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

Details

Positions

98.7..6..5.4.......3..9....6...3.8......8..52.....1....7.3..9....5.....4.....2.1. initial
98.7..6..5.4.......3..9....6...3.8......8..52.....1....7.3..9....5.....4.....2.1. autosolve
982714635564823197137596428659237841413689752728451369271345986395168274846972513 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
C1: 1,2

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I4,G5: 1.. / I4 = 1  =>  3 pairs (_) / G5 = 1  =>  3 pairs (_)
F1,F2: 3.. / F1 = 3  =>  5 pairs (_) / F2 = 3  =>  2 pairs (_)
B4,B6: 5.. / B4 = 5  =>  1 pairs (_) / B6 = 5  =>  1 pairs (_)
G3,G9: 5.. / G3 = 5  =>  5 pairs (_) / G9 = 5  =>  2 pairs (_)
B2,C3: 6.. / B2 = 6  =>  4 pairs (_) / C3 = 6  =>  2 pairs (_)
D5,F5: 6.. / D5 = 6  =>  1 pairs (_) / F5 = 6  =>  5 pairs (_)
H6,I6: 6.. / H6 = 6  =>  2 pairs (_) / I6 = 6  =>  2 pairs (_)
A3,C3: 7.. / A3 = 7  =>  1 pairs (_) / C3 = 7  =>  5 pairs (_)
A6,C6: 8.. / A6 = 8  =>  2 pairs (_) / C6 = 8  =>  1 pairs (_)
H2,I2: 9.. / H2 = 9  =>  2 pairs (_) / I2 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.190122  START: 13:09:12.411929  END: 13:09:19.602051 2020-10-23
* CP COUNT: (10)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:33.819392  START: 13:09:25.766956  END: 13:09:59.586348 2020-10-23
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-01115781-13_09-base-pr-002.dot
* REASONING
* DIS # A3: 1,2 # B4: 4,9 => CTR => B4: 1,2,5
* DIS # A3: 1,2 + B4: 1,2,5 # B6: 4,9 => CTR => B6: 2,5
* PRF # A3: 1,2 + B4: 1,2,5 + B6: 2,5 # B5: 1 => SOL
* STA # A3: 1,2 + B4: 1,2,5 + B6: 2,5 + B5: 1
* CNT   3 HDP CHAINS /  40 HYP OPENED

Header Info

1115781;13_09;GP;22;11.40;11.40;2.60

Solution

position: 982714635564823197137596428659237841413689752728451369271345986395168274846972513 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 # B2: 1,2 => UNS
* INC # A3: 1,2 => UNS
* INC # C3: 1,2 => UNS
* INC # E1: 1,2 => UNS
* INC # E1: 4,5 => UNS
* INC # C4: 1,2 => UNS
* INC # C7: 1,2 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B2: 1,2 => UNS
* INC # A3: 1,2 => UNS
* INC # C3: 1,2 => UNS
* INC # E1: 1,2 => UNS
* INC # E1: 4,5 => UNS
* INC # C4: 1,2 => UNS
* INC # C7: 1,2 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # B2: 1,2 => UNS
* INC # A3: 1,2 => UNS
* INC # C3: 1,2 => UNS
* INC # E1: 1,2 => UNS
* INC # E1: 4,5 => UNS
* INC # C4: 1,2 => UNS
* INC # C7: 1,2 => UNS
* INC # B2: 1,2 # E1: 1,2 => UNS
* INC # B2: 1,2 # E1: 4,5 => UNS
* INC # B2: 1,2 # C4: 1,2 => UNS
* INC # B2: 1,2 # C7: 1,2 => UNS
* INC # B2: 1,2 # D2: 1,2 => UNS
* INC # B2: 1,2 # E2: 1,2 => UNS
* INC # B2: 1,2 # G2: 1,2 => UNS
* INC # B2: 1,2 # B4: 1,2 => UNS
* INC # B2: 1,2 # B8: 1,2 => UNS
* INC # B2: 1,2 => UNS
* INC # A3: 1,2 # E1: 1,2 => UNS
* INC # A3: 1,2 # E1: 4,5 => UNS
* INC # A3: 1,2 # C4: 1,2 => UNS
* INC # A3: 1,2 # C7: 1,2 => UNS
* INC # A3: 1,2 # D3: 1,2 => UNS
* INC # A3: 1,2 # G3: 1,2 => UNS
* INC # A3: 1,2 # A7: 1,2 => UNS
* INC # A3: 1,2 # A8: 1,2 => UNS
* INC # A3: 1,2 # E1: 1,2 => UNS
* INC # A3: 1,2 # D2: 1,2 => UNS
* INC # A3: 1,2 # D3: 1,2 => UNS
* INC # A3: 1,2 # G2: 1,2 => UNS
* INC # A3: 1,2 # G2: 3,7 => UNS
* INC # A3: 1,2 # H2: 3,8 => UNS
* INC # A3: 1,2 # I2: 3,8 => UNS
* INC # A3: 1,2 # D9: 4,9 => UNS
* INC # A3: 1,2 # D9: 5,8 => UNS
* DIS # A3: 1,2 # B4: 4,9 => CTR => B4: 1,2,5
* INC # A3: 1,2 + B4: 1,2,5 # B5: 4,9 => UNS
* DIS # A3: 1,2 + B4: 1,2,5 # B6: 4,9 => CTR => B6: 2,5
* INC # A3: 1,2 + B4: 1,2,5 + B6: 2,5 # B5: 4,9 => UNS
* PRF # A3: 1,2 + B4: 1,2,5 + B6: 2,5 # B5: 1 => SOL
* STA # A3: 1,2 + B4: 1,2,5 + B6: 2,5 + B5: 1
* CNT  39 HDP CHAINS /  40 HYP OPENED