Analysis of xx-ph-00009355-cy4-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7.....6...8......5..68..5....96....4.7..3....2....1.5....9.....1....2....3..7. initial

Autosolve

position: 98.7.....6...8......5..68..5....96....4.7..3....2....1.5....9.....1....2....3..7. 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: 0:00:38.090148

The following important HDP chains were detected:

* PRF # G2: 2,5 # D4: 4,8 => SOL
* STA # G2: 2,5 + D4: 4,8
* CNT   1 HDP CHAINS /  74 HYP OPENED

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

Details

Positions

98.7.....6...8......5..68..5....96....4.7..3....2....1.5....9.....1....2....3..7. initial
98.7.....6...8......5..68..5....96....4.7..3....2....1.5....9.....1....2....3..7. autosolve
981724356643581297725396814537419628214678539896253741152847963379165482468932175 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
E4: 1,4
G5: 2,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E4,F5: 1.. / E4 = 1  =>  2 pairs (_) / F5 = 1  =>  7 pairs (_)
H7,G9: 1.. / H7 = 1  =>  3 pairs (_) / G9 = 1  =>  2 pairs (_)
H4,G5: 2.. / H4 = 2  =>  7 pairs (_) / G5 = 2  =>  3 pairs (_)
D4,F6: 3.. / D4 = 3  =>  3 pairs (_) / F6 = 3  =>  4 pairs (_)
I7,G8: 3.. / I7 = 3  =>  3 pairs (_) / G8 = 3  =>  2 pairs (_)
H1,I1: 6.. / H1 = 6  =>  2 pairs (_) / I1 = 6  =>  2 pairs (_)
D5,E6: 6.. / D5 = 6  =>  4 pairs (_) / E6 = 6  =>  4 pairs (_)
B5,D5: 6.. / B5 = 6  =>  4 pairs (_) / D5 = 6  =>  4 pairs (_)
I4,G6: 7.. / I4 = 7  =>  3 pairs (_) / G6 = 7  =>  4 pairs (_)
F7,F8: 7.. / F7 = 7  =>  2 pairs (_) / F8 = 7  =>  2 pairs (_)
G2,G6: 7.. / G2 = 7  =>  3 pairs (_) / G6 = 7  =>  4 pairs (_)
I5,H6: 9.. / I5 = 9  =>  2 pairs (_) / H6 = 9  =>  5 pairs (_)
E8,D9: 9.. / E8 = 9  =>  2 pairs (_) / D9 = 9  =>  3 pairs (_)
B5,I5: 9.. / B5 = 9  =>  5 pairs (_) / I5 = 9  =>  2 pairs (_)
E3,E8: 9.. / E3 = 9  =>  3 pairs (_) / E8 = 9  =>  2 pairs (_)
* DURATION: 0:00:08.465566  START: 05:35:21.841598  END: 05:35:30.307164 2020-12-01
* CP COUNT: (15)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:37.699576  START: 05:35:33.557904  END: 05:36:11.257480 2020-12-01
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00009355-cy4-base-pr-002.dot
* REASONING
* PRF # G2: 2,5 # D4: 4,8 => SOL
* STA # G2: 2,5 + D4: 4,8
* CNT   1 HDP CHAINS /  74 HYP OPENED

Header Info

9355;cy4;GP;22;11.30;11.30;10.50

Solution

position: 981724356643581297725396814537419628214678539896253741152847963379165482468932175 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 # E1: 1,4 => UNS
* INC # E3: 1,4 => UNS
* INC # G1: 2,5 => UNS
* INC # G2: 2,5 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # E1: 1,4 => UNS
* INC # E3: 1,4 => UNS
* INC # G1: 2,5 => UNS
* INC # G2: 2,5 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # E1: 1,4 => UNS
* INC # E3: 1,4 => UNS
* INC # G1: 2,5 => UNS
* INC # G2: 2,5 => UNS
* INC # E1: 1,4 # F1: 1,4 => UNS
* INC # E1: 1,4 # F2: 1,4 => UNS
* INC # E1: 1,4 # G1: 1,4 => UNS
* INC # E1: 1,4 # H1: 1,4 => UNS
* INC # E1: 1,4 # H3: 2,9 => UNS
* INC # E1: 1,4 # H3: 1,4 => UNS
* INC # E1: 1,4 # D5: 5,6 => UNS
* INC # E1: 1,4 # D5: 8 => UNS
* INC # E1: 1,4 # E8: 5,6 => UNS
* INC # E1: 1,4 # E8: 9 => UNS
* INC # E1: 1,4 # G1: 2,5 => UNS
* INC # E1: 1,4 # G2: 2,5 => UNS
* INC # E1: 1,4 # C7: 2,6 => UNS
* INC # E1: 1,4 # C7: 1,3,7,8 => UNS
* INC # E1: 1,4 => UNS
* INC # E3: 1,4 # F1: 2,5 => UNS
* INC # E3: 1,4 # F2: 2,5 => UNS
* INC # E3: 1,4 # G1: 2,5 => UNS
* INC # E3: 1,4 # H1: 2,5 => UNS
* INC # E3: 1,4 # F1: 1,4 => UNS
* INC # E3: 1,4 # F2: 1,4 => UNS
* INC # E3: 1,4 # A3: 1,4 => UNS
* INC # E3: 1,4 # B3: 1,4 => UNS
* INC # E3: 1,4 # H3: 1,4 => UNS
* INC # E3: 1,4 # D5: 5,6 => UNS
* INC # E3: 1,4 # D5: 8 => UNS
* INC # E3: 1,4 # G1: 2,5 => UNS
* INC # E3: 1,4 # G2: 2,5 => UNS
* INC # E3: 1,4 # C7: 2,6 => UNS
* INC # E3: 1,4 # C7: 1,3,7,8 => UNS
* INC # E3: 1,4 => UNS
* INC # G1: 2,5 # H1: 2,5 => UNS
* INC # G1: 2,5 # H2: 2,5 => UNS
* INC # G1: 2,5 # E1: 2,5 => UNS
* INC # G1: 2,5 # F1: 2,5 => UNS
* INC # G1: 2,5 # E1: 1,4 => UNS
* INC # G1: 2,5 # E3: 1,4 => UNS
* INC # G1: 2,5 # I4: 4,7 => UNS
* INC # G1: 2,5 # I4: 8 => UNS
* INC # G1: 2,5 # G2: 4,7 => UNS
* INC # G1: 2,5 # G2: 1,3 => UNS
* INC # G1: 2,5 # I7: 3,4 => UNS
* INC # G1: 2,5 # I7: 6,8 => UNS
* INC # G1: 2,5 # A8: 3,4 => UNS
* INC # G1: 2,5 # B8: 3,4 => UNS
* INC # G1: 2,5 # G2: 3,4 => UNS
* INC # G1: 2,5 # G2: 1,7 => UNS
* INC # G1: 2,5 # H7: 1,4 => UNS
* INC # G1: 2,5 # H7: 6,8 => UNS
* INC # G1: 2,5 # A9: 1,4 => UNS
* INC # G1: 2,5 # B9: 1,4 => UNS
* INC # G1: 2,5 # G2: 1,4 => UNS
* INC # G1: 2,5 # G2: 3,7 => UNS
* INC # G1: 2,5 => UNS
* INC # G2: 2,5 # H1: 2,5 => UNS
* INC # G2: 2,5 # H2: 2,5 => UNS
* INC # G2: 2,5 # F2: 2,5 => UNS
* INC # G2: 2,5 # F2: 1,3,4 => UNS
* INC # G2: 2,5 # C4: 3,8 => UNS
* INC # G2: 2,5 # C6: 3,8 => UNS
* INC # G2: 2,5 # F6: 3,8 => UNS
* INC # G2: 2,5 # F6: 4,5 => UNS
* INC # G2: 2,5 # A7: 3,8 => UNS
* INC # G2: 2,5 # A8: 3,8 => UNS
* INC # G2: 2,5 # E1: 1,4 => UNS
* INC # G2: 2,5 # E3: 1,4 => UNS
* INC # G2: 2,5 # H4: 4,8 => UNS
* INC # G2: 2,5 # H6: 4,8 => UNS
* PRF # G2: 2,5 # D4: 4,8 => SOL
* STA # G2: 2,5 + D4: 4,8
* CNT  73 HDP CHAINS /  74 HYP OPENED