Analysis of xx-ph-01416976-14_06-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6..5..9..4....3.8....7...9..6....6....5....479..6..4..5....2..........61... initial

Autosolve

position: 98.7..6..5..9..4....3.8....7...9..6....6....5....479..6..4..5....2.....6....61... 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: 0:00:46.931525

The following important HDP chains were detected:

* DIS # B3: 1,4 # I4: 2,3 => CTR => I4: 1,4,8
* DIS # C4: 1,4 # B4: 1,4 => CTR => B4: 2,3,5
* DIS # C4: 1,4 + B4: 2,3,5 # C9: 8,9 => CTR => C9: 5,7
* PRF # C4: 1,4 + B4: 2,3,5 + C9: 5,7 # C7: 7 => SOL
* STA # C4: 1,4 + B4: 2,3,5 + C9: 5,7 + C7: 7
* CNT   4 HDP CHAINS /  81 HYP OPENED

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

Details

Positions

98.7..6..5..9..4....3.8....7...9..6....6....5....479..6..4..5....2..........61... initial
98.7..6..5..9..4....3.8....7...9..6....6....5....479..6..4..5....2.....6....61... autosolve
981754632526913487473286159754192863219638745368547921637429518142875396895361274 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
C1: 1,4

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F1,F3: 4.. / F1 = 4  =>  3 pairs (_) / F3 = 4  =>  2 pairs (_)
I4,H5: 4.. / I4 = 4  =>  1 pairs (_) / H5 = 4  =>  3 pairs (_)
C1,F1: 4.. / C1 = 4  =>  2 pairs (_) / F1 = 4  =>  3 pairs (_)
I4,I9: 4.. / I4 = 4  =>  1 pairs (_) / I9 = 4  =>  3 pairs (_)
H1,H3: 5.. / H1 = 5  =>  2 pairs (_) / H3 = 5  =>  2 pairs (_)
E1,E8: 5.. / E1 = 5  =>  3 pairs (_) / E8 = 5  =>  2 pairs (_)
F2,F3: 6.. / F2 = 6  =>  2 pairs (_) / F3 = 6  =>  4 pairs (_)
B6,C6: 6.. / B6 = 6  =>  5 pairs (_) / C6 = 6  =>  2 pairs (_)
B3,F3: 6.. / B3 = 6  =>  2 pairs (_) / F3 = 6  =>  4 pairs (_)
C2,C6: 6.. / C2 = 6  =>  5 pairs (_) / C6 = 6  =>  2 pairs (_)
G5,H5: 7.. / G5 = 7  =>  2 pairs (_) / H5 = 7  =>  1 pairs (_)
E7,E8: 7.. / E7 = 7  =>  2 pairs (_) / E8 = 7  =>  3 pairs (_)
H2,I2: 8.. / H2 = 8  =>  1 pairs (_) / I2 = 8  =>  1 pairs (_)
H3,I3: 9.. / H3 = 9  =>  2 pairs (_) / I3 = 9  =>  1 pairs (_)
B5,C5: 9.. / B5 = 9  =>  1 pairs (_) / C5 = 9  =>  1 pairs (_)
F7,F8: 9.. / F7 = 9  =>  1 pairs (_) / F8 = 9  =>  1 pairs (_)
* DURATION: 0:00:09.644091  START: 17:28:24.500414  END: 17:28:34.144505 2020-11-01
* CP COUNT: (16)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:46.669411  START: 17:28:37.479741  END: 17:29:24.149152 2020-11-01
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-01416976-14_06-base-pr-002.dot
* REASONING
* DIS # B3: 1,4 # I4: 2,3 => CTR => I4: 1,4,8
* DIS # C4: 1,4 # B4: 1,4 => CTR => B4: 2,3,5
* DIS # C4: 1,4 + B4: 2,3,5 # C9: 8,9 => CTR => C9: 5,7
* PRF # C4: 1,4 + B4: 2,3,5 + C9: 5,7 # C7: 7 => SOL
* STA # C4: 1,4 + B4: 2,3,5 + C9: 5,7 + C7: 7
* CNT   4 HDP CHAINS /  81 HYP OPENED

Header Info

1416976;14_06;GP;23;11.40;1.20;1.20

Solution

position: 981754632526913487473286159754192863219638745368547921637429518142875396895361274 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 # A3: 1,4 => UNS
* INC # B3: 1,4 => UNS
* INC # C4: 1,4 => UNS
* INC # C5: 1,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A3: 1,4 => UNS
* INC # B3: 1,4 => UNS
* INC # C4: 1,4 => UNS
* INC # C5: 1,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A3: 1,4 => UNS
* INC # B3: 1,4 => UNS
* INC # C4: 1,4 => UNS
* INC # C5: 1,4 => UNS
* INC # A3: 1,4 # C4: 1,4 => UNS
* INC # A3: 1,4 # C5: 1,4 => UNS
* INC # A3: 1,4 # B2: 6,7 => UNS
* INC # A3: 1,4 # B3: 6,7 => UNS
* INC # A3: 1,4 # A5: 1,4 => UNS
* INC # A3: 1,4 # A8: 1,4 => UNS
* INC # A3: 1,4 => UNS
* INC # B3: 1,4 # E1: 2,3 => UNS
* INC # B3: 1,4 # E2: 2,3 => UNS
* INC # B3: 1,4 # H2: 2,3 => UNS
* INC # B3: 1,4 # I2: 2,3 => UNS
* INC # B3: 1,4 # F4: 2,3 => UNS
* INC # B3: 1,4 # F5: 2,3 => UNS
* INC # B3: 1,4 # F7: 2,3 => UNS
* INC # B3: 1,4 # H3: 1,5 => UNS
* INC # B3: 1,4 # H3: 7,9 => UNS
* INC # B3: 1,4 # D4: 1,5 => UNS
* INC # B3: 1,4 # D6: 1,5 => UNS
* INC # B3: 1,4 # H1: 2,3 => UNS
* INC # B3: 1,4 # H2: 2,3 => UNS
* INC # B3: 1,4 # I2: 2,3 => UNS
* INC # B3: 1,4 # E1: 2,3 => UNS
* INC # B3: 1,4 # E1: 5 => UNS
* DIS # B3: 1,4 # I4: 2,3 => CTR => I4: 1,4,8
* INC # B3: 1,4 + I4: 1,4,8 # I6: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # I7: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # I9: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # H1: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # H2: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # I2: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # E1: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # E1: 5 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # I6: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # I7: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # I9: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # H3: 1,7 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # I3: 1,7 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # G5: 1,7 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # G8: 1,7 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # E1: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # E2: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # H2: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # I2: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # F4: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # F5: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # F7: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # H3: 1,5 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # H3: 7,9 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # D4: 1,5 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # D6: 1,5 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # H1: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # H2: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # I2: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # E1: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # E1: 5 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # I6: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # I7: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # I9: 2,3 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # H3: 1,7 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # I3: 1,7 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # G5: 1,7 => UNS
* INC # B3: 1,4 + I4: 1,4,8 # G8: 1,7 => UNS
* INC # B3: 1,4 + I4: 1,4,8 => UNS
* INC # C4: 1,4 # A3: 1,4 => UNS
* INC # C4: 1,4 # B3: 1,4 => UNS
* INC # C4: 1,4 # B2: 6,7 => UNS
* INC # C4: 1,4 # B3: 6,7 => UNS
* DIS # C4: 1,4 # B4: 1,4 => CTR => B4: 2,3,5
* INC # C4: 1,4 + B4: 2,3,5 # A5: 1,4 => UNS
* INC # C4: 1,4 + B4: 2,3,5 # B5: 1,4 => UNS
* INC # C4: 1,4 + B4: 2,3,5 # I4: 1,4 => UNS
* INC # C4: 1,4 + B4: 2,3,5 # I4: 2,3,8 => UNS
* INC # C4: 1,4 + B4: 2,3,5 # C7: 8,9 => UNS
* DIS # C4: 1,4 + B4: 2,3,5 # C9: 8,9 => CTR => C9: 5,7
* INC # C4: 1,4 + B4: 2,3,5 + C9: 5,7 # C7: 8,9 => UNS
* PRF # C4: 1,4 + B4: 2,3,5 + C9: 5,7 # C7: 7 => SOL
* STA # C4: 1,4 + B4: 2,3,5 + C9: 5,7 + C7: 7
* CNT  80 HDP CHAINS /  81 HYP OPENED