Analysis of xx-ph-00372571-12_12_03-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: ........1.....2.3...3.4.5........6....63.5..447..6...3..483.7....7.5.....3.....98 initial

Autosolve

position: .....3..1.....2.3...3.4.5..3.....6....63.5..447..6...3..483.7....7.5.3...3.....98 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: 0:00:27.375895

The following important HDP chains were detected:

* DIS # I7: 2,6 # G1: 4,8 => CTR => G1: 2
* DIS # I7: 2,6 + G1: 2 # H1: 6 => CTR => H1: 4,8
* DIS # I7: 2,6 + G1: 2 + H1: 4,8 # A2: 7,9 => CTR => A2: 1,6,8
* DIS # I7: 2,6 + G1: 2 + H1: 4,8 + A2: 1,6,8 # E2: 1,8 => CTR => E2: 7,9
* DIS # I7: 2,6 + G1: 2 + H1: 4,8 + A2: 1,6,8 + E2: 7,9 # A3: 7,9 => CTR => A3: 2,8
* PRF # I7: 2,6 + G1: 2 + H1: 4,8 + A2: 1,6,8 + E2: 7,9 + A3: 2,8 => SOL
* STA I7: 2,6
* CNT   6 HDP CHAINS /  32 HYP OPENED

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

Details

Positions

........1.....2.3...3.4.5........6....63.5..447..6...3..483.7....7.5.....3.....98 initial
.....3..1.....2.3...3.4.5..3.....6....63.5..447..6...3..483.7....7.5.3...3.....98 autosolve
759683241641592837823147569398421675216375984475968123164839752987254316532716498 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
I8: 2,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B1,B2: 4.. / B1 = 4  =>  2 pairs (_) / B2 = 4  =>  2 pairs (_)
D4,F4: 4.. / D4 = 4  =>  1 pairs (_) / F4 = 4  =>  1 pairs (_)
H8,G9: 4.. / H8 = 4  =>  2 pairs (_) / G9 = 4  =>  2 pairs (_)
B2,G2: 4.. / B2 = 4  =>  2 pairs (_) / G2 = 4  =>  2 pairs (_)
H1,H8: 4.. / H1 = 4  =>  2 pairs (_) / H8 = 4  =>  2 pairs (_)
D1,D2: 5.. / D1 = 5  =>  1 pairs (_) / D2 = 5  =>  1 pairs (_)
A9,C9: 5.. / A9 = 5  =>  3 pairs (_) / C9 = 5  =>  1 pairs (_)
H7,I7: 5.. / H7 = 5  => 11 pairs (_) / I7 = 5  =>  1 pairs (_)
C6,H6: 5.. / C6 = 5  =>  5 pairs (_) / H6 = 5  =>  1 pairs (_)
I4,I7: 5.. / I4 = 5  => 11 pairs (_) / I7 = 5  =>  1 pairs (_)
E5,H5: 7.. / E5 = 7  =>  3 pairs (_) / H5 = 7  =>  1 pairs (_)
A8,B8: 8.. / A8 = 8  =>  1 pairs (_) / B8 = 8  =>  1 pairs (_)
* DURATION: 0:00:07.735556  START: 21:02:37.681290  END: 21:02:45.416846 2020-10-28
* CP COUNT: (12)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:27.213602  START: 21:02:52.933568  END: 21:03:20.147170 2020-10-28
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00372571-12_12_03-base-pr-002.dot
* REASONING
* DIS # I7: 2,6 # G1: 4,8 => CTR => G1: 2
* DIS # I7: 2,6 + G1: 2 # H1: 6 => CTR => H1: 4,8
* DIS # I7: 2,6 + G1: 2 + H1: 4,8 # A2: 7,9 => CTR => A2: 1,6,8
* DIS # I7: 2,6 + G1: 2 + H1: 4,8 + A2: 1,6,8 # E2: 1,8 => CTR => E2: 7,9
* DIS # I7: 2,6 + G1: 2 + H1: 4,8 + A2: 1,6,8 + E2: 7,9 # A3: 7,9 => CTR => A3: 2,8
* PRF # I7: 2,6 + G1: 2 + H1: 4,8 + A2: 1,6,8 + E2: 7,9 + A3: 2,8 => SOL
* STA I7: 2,6
* CNT   6 HDP CHAINS /  32 HYP OPENED

Header Info

372571;12_12_03;dob;24;11.40;1.20;1.20

Solution

position: 759683241641592837823147569398421675216375984475968123164839752987254316532716498 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 # H7: 2,6 => UNS
* INC # I7: 2,6 => UNS
* INC # H8: 2,6 => UNS
* INC # A8: 2,6 => UNS
* INC # B8: 2,6 => UNS
* INC # D8: 2,6 => UNS
* INC # I3: 2,6 => UNS
* INC # I3: 7,9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # H7: 2,6 => UNS
* INC # I7: 2,6 => UNS
* INC # H8: 2,6 => UNS
* INC # A8: 2,6 => UNS
* INC # B8: 2,6 => UNS
* INC # D8: 2,6 => UNS
* INC # I3: 2,6 => UNS
* INC # I3: 7,9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # H7: 2,6 => UNS
* INC # I7: 2,6 => UNS
* INC # H8: 2,6 => UNS
* INC # A8: 2,6 => UNS
* INC # B8: 2,6 => UNS
* INC # D8: 2,6 => UNS
* INC # I3: 2,6 => UNS
* INC # I3: 7,9 => UNS
* INC # H7: 2,6 # A7: 2,6 => UNS
* INC # H7: 2,6 # B7: 2,6 => UNS
* INC # H7: 2,6 # H1: 2,6 => UNS
* INC # H7: 2,6 # H3: 2,6 => UNS
* INC # H7: 2,6 # D8: 1,4 => UNS
* INC # H7: 2,6 # F8: 1,4 => UNS
* INC # H7: 2,6 # A8: 2,6 => UNS
* INC # H7: 2,6 # B8: 2,6 => UNS
* INC # H7: 2,6 # D8: 2,6 => UNS
* INC # H7: 2,6 # I3: 2,6 => UNS
* INC # H7: 2,6 # I3: 7,9 => UNS
* INC # H7: 2,6 # D9: 1,4 => UNS
* INC # H7: 2,6 # F9: 1,4 => UNS
* INC # H7: 2,6 => UNS
* DIS # I7: 2,6 # G1: 4,8 => CTR => G1: 2
* INC # I7: 2,6 + G1: 2 # H1: 4,8 => UNS
* INC # I7: 2,6 + G1: 2 # H1: 4,8 => UNS
* DIS # I7: 2,6 + G1: 2 # H1: 6 => CTR => H1: 4,8
* DIS # I7: 2,6 + G1: 2 + H1: 4,8 # A2: 7,9 => CTR => A2: 1,6,8
* INC # I7: 2,6 + G1: 2 + H1: 4,8 + A2: 1,6,8 # E2: 7,9 => UNS
* INC # I7: 2,6 + G1: 2 + H1: 4,8 + A2: 1,6,8 # E2: 7,9 => UNS
* DIS # I7: 2,6 + G1: 2 + H1: 4,8 + A2: 1,6,8 # E2: 1,8 => CTR => E2: 7,9
* DIS # I7: 2,6 + G1: 2 + H1: 4,8 + A2: 1,6,8 + E2: 7,9 # A3: 7,9 => CTR => A3: 2,8
* PRF # I7: 2,6 + G1: 2 + H1: 4,8 + A2: 1,6,8 + E2: 7,9 + A3: 2,8 => SOL
* STA I7: 2,6
* CNT  32 HDP CHAINS /  32 HYP OPENED