Analysis of xx-ph-01549415-14_09-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
Details
Solution
Appendix: Full HDP Chains

Original Sudoku

level: hard

position: 98.7..6..5..9..7......4..8.7...3.....65..73....95.....6..3..5....2.....6.....1... initial

Autosolve

position: 98.7..6..5..9..7......4..8.7...3.....65..73....95.....6..3..5....2.....6.....1... autosolve

Pair Reduction Variants

Pair Reduction Analysis

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

Pair Reduction

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

Deep Pair Reduction

Time used: 0:00:24.690441

The following important HDP chains were detected:

* DIS # F8: 4,8 # B8: 1,3 => CTR => B8: 5,7,9
* PRF # F8: 4,8 + B8: 5,7,9 # H8: 1,3 => SOL
* STA # F8: 4,8 + B8: 5,7,9 + H8: 1,3
* CNT   2 HDP CHAINS /  33 HYP OPENED

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

Details

Positions

`98.7..6..5..9..7......4..8.7...3.....65..73....95.....6..3..5....2.....6.....1...`	initial
`98.7..6..5..9..7......4..8.7...3.....65..73....95.....6..3..5....2.....6.....1...`	autosolve
`984713652521968743376245189718439265265187394439526871647392518152874936893651427`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
D8: 4,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A6,B6: 3.. / A6 = 3  =>  3 pairs (_) / B6 = 3  =>  1 pairs (_)
H4,I4: 5.. / H4 = 5  =>  1 pairs (_) / I4 = 5  =>  3 pairs (_)
B8,B9: 5.. / B8 = 5  =>  5 pairs (_) / B9 = 5  =>  1 pairs (_)
F3,I3: 5.. / F3 = 5  =>  3 pairs (_) / I3 = 5  =>  1 pairs (_)
B9,E9: 5.. / B9 = 5  =>  1 pairs (_) / E9 = 5  =>  5 pairs (_)
H1,H4: 5.. / H1 = 5  =>  3 pairs (_) / H4 = 5  =>  1 pairs (_)
C2,C3: 6.. / C2 = 6  =>  1 pairs (_) / C3 = 6  =>  4 pairs (_)
H4,H6: 6.. / H4 = 6  =>  3 pairs (_) / H6 = 6  =>  1 pairs (_)
D9,E9: 6.. / D9 = 6  =>  2 pairs (_) / E9 = 6  =>  1 pairs (_)
B3,C3: 7.. / B3 = 7  =>  1 pairs (_) / C3 = 7  =>  2 pairs (_)
H6,I6: 7.. / H6 = 7  =>  5 pairs (_) / I6 = 7  =>  1 pairs (_)
E2,F2: 8.. / E2 = 8  =>  1 pairs (_) / F2 = 8  =>  1 pairs (_)
G3,I3: 9.. / G3 = 9  =>  1 pairs (_) / I3 = 9  =>  5 pairs (_)
F4,E5: 9.. / F4 = 9  =>  1 pairs (_) / E5 = 9  =>  1 pairs (_)
* DURATION: 0:00:09.400414  START: 11:34:56.934792  END: 11:35:06.335206 2020-10-24
* CP COUNT: (14)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:24.513702  START: 11:35:12.169370  END: 11:35:36.683072 2020-10-24
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-01549415-14_09-base-pr-002.dot
* REASONING
* DIS # F8: 4,8 # B8: 1,3 => CTR => B8: 5,7,9
* PRF # F8: 4,8 + B8: 5,7,9 # H8: 1,3 => SOL
* STA # F8: 4,8 + B8: 5,7,9 + H8: 1,3
* CNT   2 HDP CHAINS /  33 HYP OPENED

Header Info

1549415;14_09;GP;23;11.40;11.40;9.00

Solution

position: 984713652521968743376245189718439265265187394439526871647392518152874936893651427 solved

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 # F7: 4,8 => UNS
* INC # F8: 4,8 => UNS
* INC # D9: 4,8 => UNS
* INC # A8: 4,8 => UNS
* INC # G8: 4,8 => UNS
* INC # D4: 4,8 => UNS
* INC # D5: 4,8 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # F7: 4,8 => UNS
* INC # F8: 4,8 => UNS
* INC # D9: 4,8 => UNS
* INC # A8: 4,8 => UNS
* INC # G8: 4,8 => UNS
* INC # D4: 4,8 => UNS
* INC # D5: 4,8 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # F7: 4,8 => UNS
* INC # F8: 4,8 => UNS
* INC # D9: 4,8 => UNS
* INC # A8: 4,8 => UNS
* INC # G8: 4,8 => UNS
* INC # D4: 4,8 => UNS
* INC # D5: 4,8 => UNS
* INC # F7: 4,8 # C7: 4,8 => UNS
* INC # F7: 4,8 # I7: 4,8 => UNS
* INC # F7: 4,8 # F4: 4,8 => UNS
* INC # F7: 4,8 # F6: 4,8 => UNS
* INC # F7: 4,8 # A8: 4,8 => UNS
* INC # F7: 4,8 # G8: 4,8 => UNS
* INC # F7: 4,8 # D4: 4,8 => UNS
* INC # F7: 4,8 # D5: 4,8 => UNS
* INC # F7: 4,8 # E8: 5,9 => UNS
* INC # F7: 4,8 # E9: 5,9 => UNS
* INC # F7: 4,8 # B8: 5,9 => UNS
* INC # F7: 4,8 # B8: 1,3,4,7 => UNS
* INC # F7: 4,8 # E9: 2,6 => UNS
* INC # F7: 4,8 # E9: 5,7,9 => UNS
* INC # F7: 4,8 # D3: 2,6 => UNS
* INC # F7: 4,8 # D4: 2,6 => UNS
* INC # F7: 4,8 => UNS
* INC # F8: 4,8 # E2: 1,2 => UNS
* INC # F8: 4,8 # D3: 1,2 => UNS
* INC # F8: 4,8 # H1: 1,2 => UNS
* INC # F8: 4,8 # I1: 1,2 => UNS
* INC # F8: 4,8 # E5: 1,2 => UNS
* INC # F8: 4,8 # E6: 1,2 => UNS
* DIS # F8: 4,8 # B8: 1,3 => CTR => B8: 5,7,9
* PRF # F8: 4,8 + B8: 5,7,9 # H8: 1,3 => SOL
* STA # F8: 4,8 + B8: 5,7,9 + H8: 1,3
* CNT  32 HDP CHAINS /  33 HYP OPENED