Analysis of xx-ph-01054557-13_07-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6..7...5......4......6.3....2..9.2....6....1.89.27.8...6...85....7......2.. initial

Autosolve

position: 98.7..6..7...5......4......6.3....2.89.2....6....1.89.27.8...6...85....7......2.. 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: 0:00:24.719578

The following important HDP chains were detected:

* DIS # B6: 4,5 # H1: 1,5 => CTR => H1: 3,4
* DIS # B6: 4,5 + H1: 3,4 # I1: 2,4 => CTR => I1: 1,5
* PRF # B6: 4,5 + H1: 3,4 + I1: 1,5 # C9: 1,5 => SOL
* STA # B6: 4,5 + H1: 3,4 + I1: 1,5 + C9: 1,5
* CNT   3 HDP CHAINS /  41 HYP OPENED

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

Details

Positions

98.7..6..7...5......4......6.3....2..9.2....6....1.89.27.8...6...85....7......2.. initial
98.7..6..7...5......4......6.3....2.89.2....6....1.89.27.8...6...85....7......2.. autosolve
985724631736158942124369578613985724897243156542617893279831465468592317351476289 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
A6: 4,5
D4: 4,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B4,C5: 1.. / B4 = 1  =>  6 pairs (_) / C5 = 1  =>  6 pairs (_)
B6,C6: 2.. / B6 = 2  =>  3 pairs (_) / C6 = 2  =>  7 pairs (_)
E8,F8: 2.. / E8 = 2  =>  3 pairs (_) / F8 = 2  =>  2 pairs (_)
D6,F6: 6.. / D6 = 6  =>  2 pairs (_) / F6 = 6  =>  4 pairs (_)
C2,C9: 6.. / C2 = 6  =>  2 pairs (_) / C9 = 6  =>  6 pairs (_)
G3,H3: 7.. / G3 = 7  =>  5 pairs (_) / H3 = 7  =>  2 pairs (_)
C5,C6: 7.. / C5 = 7  =>  5 pairs (_) / C6 = 7  =>  3 pairs (_)
E9,F9: 7.. / E9 = 7  =>  3 pairs (_) / F9 = 7  =>  3 pairs (_)
C6,F6: 7.. / C6 = 7  =>  3 pairs (_) / F6 = 7  =>  5 pairs (_)
H3,H5: 7.. / H3 = 7  =>  2 pairs (_) / H5 = 7  =>  5 pairs (_)
E4,F4: 8.. / E4 = 8  =>  2 pairs (_) / F4 = 8  =>  2 pairs (_)
H9,I9: 8.. / H9 = 8  =>  2 pairs (_) / I9 = 8  =>  2 pairs (_)
E3,E4: 8.. / E3 = 8  =>  2 pairs (_) / E4 = 8  =>  2 pairs (_)
C7,C9: 9.. / C7 = 9  =>  3 pairs (_) / C9 = 9  =>  3 pairs (_)
* DURATION: 0:00:09.429608  START: 01:29:37.984885  END: 01:29:47.414493 2021-01-11
* CP COUNT: (14)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:24.529413  START: 01:29:56.103418  END: 01:30:20.632831 2021-01-11
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-01054557-13_07-base-pr-002.dot
* REASONING
* DIS # B6: 4,5 # H1: 1,5 => CTR => H1: 3,4
* DIS # B6: 4,5 + H1: 3,4 # I1: 2,4 => CTR => I1: 1,5
* PRF # B6: 4,5 + H1: 3,4 + I1: 1,5 # C9: 1,5 => SOL
* STA # B6: 4,5 + H1: 3,4 + I1: 1,5 + C9: 1,5
* CNT   3 HDP CHAINS /  41 HYP OPENED

Header Info

1054557;13_07;GP;24;11.30;1.20;1.20

Solution

position: 985724631736158942124369578613985724897243156542617893279831465468592317351476289 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 # B4: 4,5 => UNS
* INC # B6: 4,5 => UNS
* INC # F6: 4,5 => UNS
* INC # I6: 4,5 => UNS
* INC # A9: 4,5 => UNS
* INC # A9: 1,3 => UNS
* INC # E4: 4,9 => UNS
* INC # F4: 4,9 => UNS
* INC # D2: 4,9 => UNS
* INC # D9: 4,9 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B4: 4,5 => UNS
* INC # B6: 4,5 => UNS
* INC # F6: 4,5 => UNS
* INC # I6: 4,5 => UNS
* INC # A9: 4,5 => UNS
* INC # A9: 1,3 => UNS
* INC # E4: 4,9 => UNS
* INC # F4: 4,9 => UNS
* INC # D2: 4,9 => UNS
* INC # D9: 4,9 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # B4: 4,5 => UNS
* INC # B6: 4,5 => UNS
* INC # F6: 4,5 => UNS
* INC # I6: 4,5 => UNS
* INC # A9: 4,5 => UNS
* INC # A9: 1,3 => UNS
* INC # E4: 4,9 => UNS
* INC # F4: 4,9 => UNS
* INC # D2: 4,9 => UNS
* INC # D9: 4,9 => UNS
* INC # B4: 4,5 # I1: 2,5 => UNS
* INC # B4: 4,5 # I1: 1,3,4 => UNS
* INC # B4: 4,5 # F2: 2,6 => UNS
* INC # B4: 4,5 # F2: 1,3,4,8,9 => UNS
* INC # B4: 4,5 # F4: 4,5 => UNS
* INC # B4: 4,5 # G4: 4,5 => UNS
* INC # B4: 4,5 # I4: 4,5 => UNS
* INC # B4: 4,5 # B9: 4,5 => UNS
* INC # B4: 4,5 # B9: 1,3,6 => UNS
* INC # B4: 4,5 # F6: 4,5 => UNS
* INC # B4: 4,5 # I6: 4,5 => UNS
* INC # B4: 4,5 # A9: 4,5 => UNS
* INC # B4: 4,5 # A9: 1,3 => UNS
* INC # B4: 4,5 # E4: 4,9 => UNS
* INC # B4: 4,5 # F4: 4,9 => UNS
* INC # B4: 4,5 # D2: 4,9 => UNS
* INC # B4: 4,5 # D9: 4,9 => UNS
* INC # B4: 4,5 # C9: 5,9 => UNS
* INC # B4: 4,5 # C9: 6 => UNS
* INC # B4: 4,5 # G7: 5,9 => UNS
* INC # B4: 4,5 # I7: 5,9 => UNS
* INC # B4: 4,5 => UNS
* INC # B6: 4,5 # A3: 1,5 => UNS
* INC # B6: 4,5 # A3: 3 => UNS
* DIS # B6: 4,5 # H1: 1,5 => CTR => H1: 3,4
* INC # B6: 4,5 + H1: 3,4 # I1: 1,5 => UNS
* INC # B6: 4,5 + H1: 3,4 # I1: 1,5 => UNS
* DIS # B6: 4,5 + H1: 3,4 # I1: 2,4 => CTR => I1: 1,5
* INC # B6: 4,5 + H1: 3,4 + I1: 1,5 # C7: 1,5 => UNS
* PRF # B6: 4,5 + H1: 3,4 + I1: 1,5 # C9: 1,5 => SOL
* STA # B6: 4,5 + H1: 3,4 + I1: 1,5 + C9: 1,5
* CNT  40 HDP CHAINS /  41 HYP OPENED