Analysis of xx-cola317_79_7_17_0_151K_1BB_r2c7_r4c8_r7c9_4_7_69K-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: .....2..67..1....9..3.9.5....8.6...5.....43.....2..8....6.8..5.4.........7...1... initial

Autosolve

position: .....2..67..1....9..3.9.5....8.6...5...8.43.....2..8....6.8..5.4.........7...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: 0:00:55.953128

The following important HDP chains were detected:

* DIS # H2: 2,4 # A5: 1,2 => CTR => A5: 5,6,9
* PRF # H2: 2,4 + A5: 5,6,9 # C5: 2,9 => SOL
* STA # H2: 2,4 + A5: 5,6,9 + C5: 2,9
* CNT   2 HDP CHAINS /  38 HYP OPENED

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

Details

Positions

.....2..67..1....9..3.9.5....8.6...5.....43.....2..8....6.8..5.4.........7...1... initial
.....2..67..1....9..3.9.5....8.6...5...8.43.....2..8....6.8..5.4.........7...1... autosolve
894572136765138249213496578148763925952814367637259814326987451481625793579341682 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
G2: 2,4

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E5,E6: 1.. / E5 = 1  =>  2 pairs (_) / E6 = 1  =>  3 pairs (_)
E8,E9: 2.. / E8 = 2  =>  1 pairs (_) / E9 = 2  =>  3 pairs (_)
H1,H2: 3.. / H1 = 3  =>  1 pairs (_) / H2 = 3  =>  4 pairs (_)
H5,H6: 6.. / H5 = 6  =>  1 pairs (_) / H6 = 6  =>  1 pairs (_)
G8,G9: 6.. / G8 = 6  =>  4 pairs (_) / G9 = 6  =>  1 pairs (_)
B2,F2: 6.. / B2 = 6  =>  1 pairs (_) / F2 = 6  =>  4 pairs (_)
D9,G9: 6.. / D9 = 6  =>  4 pairs (_) / G9 = 6  =>  1 pairs (_)
C5,C6: 7.. / C5 = 7  =>  3 pairs (_) / C6 = 7  =>  2 pairs (_)
F2,F3: 8.. / F2 = 8  =>  2 pairs (_) / F3 = 8  =>  3 pairs (_)
B8,A9: 8.. / B8 = 8  =>  1 pairs (_) / A9 = 8  =>  1 pairs (_)
* DURATION: 0:00:08.743051  START: 23:24:34.873589  END: 23:24:43.616640 2017-04-30
* CP COUNT: (10)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:55.748762  START: 23:24:53.037526  END: 23:25:48.786288 2017-04-30
* SOLUTION FOUND
* SAVE PR GRAPH xx-cola317_79_7_17_0_151K_1BB_r2c7_r4c8_r7c9_4_7_69K-base-pr-002.dot
* REASONING
* DIS # H2: 2,4 # A5: 1,2 => CTR => A5: 5,6,9
* PRF # H2: 2,4 + A5: 5,6,9 # C5: 2,9 => SOL
* STA # H2: 2,4 + A5: 5,6,9 + C5: 2,9
* CNT   2 HDP CHAINS /  38 HYP OPENED

Header Info

cola317 (79.7) 17.0 151K 1BB<< r2c7 r4c8 r7c9 4.7 69K

Solution

position: 894572136765138249213496578148763925952814367637259814326987451481625793579341682 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 # H2: 2,4 => UNS
* INC # H3: 2,4 => UNS
* INC # I3: 2,4 => UNS
* INC # B2: 2,4 => UNS
* INC # C2: 2,4 => UNS
* INC # G4: 2,4 => UNS
* INC # G7: 2,4 => UNS
* INC # G9: 2,4 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # H2: 2,4 => UNS
* INC # H3: 2,4 => UNS
* INC # I3: 2,4 => UNS
* INC # B2: 2,4 => UNS
* INC # C2: 2,4 => UNS
* INC # G4: 2,4 => UNS
* INC # G7: 2,4 => UNS
* INC # G9: 2,4 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # H2: 2,4 => UNS
* INC # H3: 2,4 => UNS
* INC # I3: 2,4 => UNS
* INC # B2: 2,4 => UNS
* INC # C2: 2,4 => UNS
* INC # G4: 2,4 => UNS
* INC # G7: 2,4 => UNS
* INC # G9: 2,4 => UNS
* INC # H2: 2,4 # B3: 1,2 => UNS
* INC # H2: 2,4 # B3: 4 => UNS
* INC # H2: 2,4 # A4: 1,2 => UNS
* DIS # H2: 2,4 # A5: 1,2 => CTR => A5: 5,6,9
* INC # H2: 2,4 + A5: 5,6,9 # A7: 1,2 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # B3: 1,2 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # B3: 4 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # A4: 1,2 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # A7: 1,2 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # D3: 6,7 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # D3: 4 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # F8: 6,7 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # F8: 3,5,9 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # H3: 1,7 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # I3: 1,7 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # G4: 1,7 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # G7: 1,7 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # G8: 1,7 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # G4: 2,4 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # G7: 2,4 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # G9: 2,4 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # H4: 2,4 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # H9: 2,4 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # A7: 2,9 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # B7: 2,9 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # C8: 2,9 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # G9: 2,9 => UNS
* INC # H2: 2,4 + A5: 5,6,9 # H9: 2,9 => UNS
* PRF # H2: 2,4 + A5: 5,6,9 # C5: 2,9 => SOL
* STA # H2: 2,4 + A5: 5,6,9 + C5: 2,9
* CNT  37 HDP CHAINS /  38 HYP OPENED