Analysis of xx-ph-00033297-2012_04-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....7.....6....5.4....6..8..3...7.....2...1..2....3.9..7......2...4.....1.5. initial

Autosolve

position: 98.7.....7.....6....5.4....6..8..3...7.....2...1..2....3.9..7......2...4.....1.5. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for C1,B3: 6..:

* PRF # C1: 6 # D2: 3,5 => SOL
* STA # C1: 6 + D2: 3,5
* CNT   1 HDP CHAINS /   7 HYP OPENED

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

Details

This sudoku is deep. Here is some information that may be helpful on how to proceed.

Positions

98.7.....7.....6....5.4....6..8..3...7.....2...1..2....3.9..7......2...4.....1.5. initial
98.7.....7.....6....5.4....6..8..3...7.....2...1..2....3.9..7......2...4.....1.5. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D2,D3: 2.. / D2 = 2  =>  2 pairs (_) / D3 = 2  =>  2 pairs (_)
B4,C4: 2.. / B4 = 2  =>  3 pairs (_) / C4 = 2  =>  1 pairs (_)
H8,I9: 3.. / H8 = 3  =>  2 pairs (_) / I9 = 3  =>  1 pairs (_)
F7,D9: 4.. / F7 = 4  =>  1 pairs (_) / D9 = 4  =>  1 pairs (_)
C1,B3: 6.. / C1 = 6  =>  2 pairs (_) / B3 = 6  =>  0 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  0 pairs (_)
C8,C9: 7.. / C8 = 7  =>  0 pairs (_) / C9 = 7  =>  0 pairs (_)
F8,E9: 7.. / F8 = 7  =>  0 pairs (_) / E9 = 7  =>  0 pairs (_)
C8,F8: 7.. / C8 = 7  =>  0 pairs (_) / F8 = 7  =>  0 pairs (_)
C9,E9: 7.. / C9 = 7  =>  0 pairs (_) / E9 = 7  =>  0 pairs (_)
F4,F8: 7.. / F4 = 7  =>  0 pairs (_) / F8 = 7  =>  0 pairs (_)
* DURATION: 0:00:06.565689  START: 13:00:04.537111  END: 13:00:11.102800 2020-12-12
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B4,C4: 2.. / B4 = 2 ==>  3 pairs (_) / C4 = 2 ==>  1 pairs (_)
D2,D3: 2.. / D2 = 2 ==>  2 pairs (_) / D3 = 2 ==>  2 pairs (_)
H8,I9: 3.. / H8 = 3 ==>  2 pairs (_) / I9 = 3 ==>  1 pairs (_)
C1,B3: 6.. / C1 = 6 ==>  0 pairs (*) / B3 = 6  =>  0 pairs (X)
* DURATION: 0:00:31.804807  START: 13:00:11.103370  END: 13:00:42.908177 2020-12-12
* REASONING C1,B3: 6..
* PRF # C1: 6 # D2: 3,5 => SOL
* STA # C1: 6 + D2: 3,5
* CNT   1 HDP CHAINS /   7 HYP OPENED
* DCP COUNT: (4)
* SOLUTION FOUND

Header Info

33297;2012_04;GP;21;11.30;11.30;9.90

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B4,C4: 2..:

* INC # B4: 2 # H2: 1,4 => UNS
* INC # B4: 2 # H2: 3,8,9 => UNS
* INC # B4: 2 # D3: 1,6 => UNS
* INC # B4: 2 # D3: 2,3 => UNS
* INC # B4: 2 # B8: 1,6 => UNS
* INC # B4: 2 # B8: 5,9 => UNS
* INC # B4: 2 # C5: 4,9 => UNS
* INC # B4: 2 # B6: 4,9 => UNS
* INC # B4: 2 # F4: 4,9 => UNS
* INC # B4: 2 # H4: 4,9 => UNS
* INC # B4: 2 # C9: 4,9 => UNS
* INC # B4: 2 # C9: 2,6,7,8 => UNS
* INC # B4: 2 => UNS
* INC # C4: 2 # C1: 3,4 => UNS
* INC # C4: 2 # C1: 6 => UNS
* INC # C4: 2 # H2: 3,4 => UNS
* INC # C4: 2 # H2: 1,8,9 => UNS
* INC # C4: 2 # C5: 3,4 => UNS
* INC # C4: 2 # C5: 8,9 => UNS
* INC # C4: 2 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for D2,D3: 2..:

* INC # D2: 2 # H2: 1,4 => UNS
* INC # D2: 2 # H2: 3,8,9 => UNS
* INC # D2: 2 # C1: 3,4 => UNS
* INC # D2: 2 # C1: 2,6 => UNS
* INC # D2: 2 # H2: 3,4 => UNS
* INC # D2: 2 # H2: 1,8,9 => UNS
* INC # D2: 2 # C5: 3,4 => UNS
* INC # D2: 2 # C5: 8,9 => UNS
* INC # D2: 2 => UNS
* INC # D3: 2 # H3: 1,3 => UNS
* INC # D3: 2 # I3: 1,3 => UNS
* INC # D3: 2 # B8: 1,6 => UNS
* INC # D3: 2 # B8: 5,9 => UNS
* INC # D3: 2 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for H8,I9: 3..:

* INC # H8: 3 # G1: 1,4 => UNS
* INC # H8: 3 # H2: 1,4 => UNS
* INC # H8: 3 # H4: 1,4 => UNS
* INC # H8: 3 # H4: 7,9 => UNS
* INC # H8: 3 # E7: 5,6 => UNS
* INC # H8: 3 # F7: 5,6 => UNS
* INC # H8: 3 # F8: 5,6 => UNS
* INC # H8: 3 # B8: 5,6 => UNS
* INC # H8: 3 # B8: 1,9 => UNS
* INC # H8: 3 # D5: 5,6 => UNS
* INC # H8: 3 # D6: 5,6 => UNS
* INC # H8: 3 => UNS
* INC # I9: 3 # F7: 4,6 => UNS
* INC # I9: 3 # F7: 5,8 => UNS
* INC # I9: 3 # B9: 4,6 => UNS
* INC # I9: 3 # C9: 4,6 => UNS
* INC # I9: 3 # D5: 4,6 => UNS
* INC # I9: 3 # D6: 4,6 => UNS
* INC # I9: 3 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for C1,B3: 6..:

* INC # C1: 6 # B2: 1,2 => UNS
* INC # C1: 6 # A3: 1,2 => UNS
* INC # C1: 6 # D3: 1,2 => UNS
* INC # C1: 6 # D3: 3,6 => UNS
* INC # C1: 6 # E1: 3,5 => UNS
* PRF # C1: 6 # D2: 3,5 => SOL
* STA # C1: 6 + D2: 3,5
* CNT   6 HDP CHAINS /   7 HYP OPENED