Analysis of xx-ph-00000143-121-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 1....6..9....8..3...82..4.....6.4.....5.2.6...7.5......3......1..4..25..9......7. initial

Autosolve

position: 1....6..9....8..3...82..4.....6.4.....5.2.6...7.5......3......1..4..25..9......7. 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

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for G1,H1: 8..:

* DIS # H1: 8 # H7: 6,9 => CTR => H7: 2,4
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for A6,C6: 6..:

* DIS # C6: 6 # A7: 2,7 => CTR => A7: 5,6,8
* DIS # C6: 6 + A7: 5,6,8 # B9: 1,2 => CTR => B9: 5,6,8
* CNT   2 HDP CHAINS /  16 HYP OPENED

List of important HDP chains detected for G2,H3: 1..:

* DIS # H3: 1 # G4: 2,7 => CTR => G4: 1,3,8,9
* PRF # H3: 1 + G4: 1,3,8,9 # A3: 5,6 => SOL
* STA # H3: 1 + G4: 1,3,8,9 + A3: 5,6
* CNT   2 HDP CHAINS /  24 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

1....6..9....8..3...82..4.....6.4.....5.2.6...7.5......3......1..4..25..9......7. initial
1....6..9....8..3...82..4.....6.4.....5.2.6...7.5......3......1..4..25..9......7. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G2,H3: 1.. / G2 = 1  =>  1 pairs (_) / H3 = 1  =>  2 pairs (_)
C1,A3: 3.. / C1 = 3  =>  1 pairs (_) / A3 = 3  =>  3 pairs (_)
H7,I9: 4.. / H7 = 4  =>  0 pairs (_) / I9 = 4  =>  0 pairs (_)
H4,I4: 5.. / H4 = 5  =>  2 pairs (_) / I4 = 5  =>  1 pairs (_)
A7,B9: 5.. / A7 = 5  =>  0 pairs (_) / B9 = 5  =>  2 pairs (_)
A6,C6: 6.. / A6 = 6  =>  1 pairs (_) / C6 = 6  =>  2 pairs (_)
G1,H1: 8.. / G1 = 8  =>  3 pairs (_) / H1 = 8  =>  2 pairs (_)
* DURATION: 0:00:04.076393  START: 18:16:09.918966  END: 18:16:13.995359 2020-09-28
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G1,H1: 8.. / G1 = 8 ==>  3 pairs (_) / H1 = 8 ==>  3 pairs (_)
C1,A3: 3.. / C1 = 3 ==>  1 pairs (_) / A3 = 3 ==>  3 pairs (_)
A6,C6: 6.. / A6 = 6 ==>  1 pairs (_) / C6 = 6 ==>  4 pairs (_)
H4,I4: 5.. / H4 = 5 ==>  2 pairs (_) / I4 = 5 ==>  1 pairs (_)
G2,H3: 1.. / G2 = 1  =>  0 pairs (X) / H3 = 1 ==>  0 pairs (*)
* DURATION: 0:00:51.564938  START: 18:16:13.996006  END: 18:17:05.560944 2020-09-28
* REASONING G1,H1: 8..
* DIS # H1: 8 # H7: 6,9 => CTR => H7: 2,4
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING A6,C6: 6..
* DIS # C6: 6 # A7: 2,7 => CTR => A7: 5,6,8
* DIS # C6: 6 + A7: 5,6,8 # B9: 1,2 => CTR => B9: 5,6,8
* CNT   2 HDP CHAINS /  16 HYP OPENED
* REASONING G2,H3: 1..
* DIS # H3: 1 # G4: 2,7 => CTR => G4: 1,3,8,9
* PRF # H3: 1 + G4: 1,3,8,9 # A3: 5,6 => SOL
* STA # H3: 1 + G4: 1,3,8,9 + A3: 5,6
* CNT   2 HDP CHAINS /  24 HYP OPENED
* DCP COUNT: (5)
* SOLUTION FOUND

Header Info

143;121;elev;22;11.50;11.50;11.10

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G1,H1: 8..:

* INC # G1: 8 # I2: 2,5 => UNS
* INC # G1: 8 # I2: 6,7 => UNS
* INC # G1: 8 # B1: 2,5 => UNS
* INC # G1: 8 # B1: 4 => UNS
* INC # G1: 8 # H4: 2,5 => UNS
* INC # G1: 8 # H4: 1,8,9 => UNS
* INC # G1: 8 # H7: 2,9 => UNS
* INC # G1: 8 # H7: 4,6,8 => UNS
* INC # G1: 8 # G4: 2,9 => UNS
* INC # G1: 8 # G6: 2,9 => UNS
* INC # G1: 8 # I9: 2,3 => UNS
* INC # G1: 8 # I9: 4,6,8 => UNS
* INC # G1: 8 # G4: 2,3 => UNS
* INC # G1: 8 # G6: 2,3 => UNS
* INC # G1: 8 => UNS
* INC # H1: 8 # G2: 2,7 => UNS
* INC # H1: 8 # I2: 2,7 => UNS
* INC # H1: 8 # C1: 2,7 => UNS
* INC # H1: 8 # C1: 3 => UNS
* INC # H1: 8 # G4: 2,7 => UNS
* INC # H1: 8 # G4: 1,3,8,9 => UNS
* DIS # H1: 8 # H7: 6,9 => CTR => H7: 2,4
* INC # H1: 8 + H7: 2,4 # E8: 6,9 => UNS
* INC # H1: 8 + H7: 2,4 # E8: 1,3,7 => UNS
* INC # H1: 8 + H7: 2,4 # G2: 2,7 => UNS
* INC # H1: 8 + H7: 2,4 # I2: 2,7 => UNS
* INC # H1: 8 + H7: 2,4 # C1: 2,7 => UNS
* INC # H1: 8 + H7: 2,4 # C1: 3 => UNS
* INC # H1: 8 + H7: 2,4 # G4: 2,7 => UNS
* INC # H1: 8 + H7: 2,4 # G4: 1,3,8,9 => UNS
* INC # H1: 8 + H7: 2,4 # I9: 2,4 => UNS
* INC # H1: 8 + H7: 2,4 # I9: 3,6,8 => UNS
* INC # H1: 8 + H7: 2,4 # H6: 2,4 => UNS
* INC # H1: 8 + H7: 2,4 # H6: 1,9 => UNS
* INC # H1: 8 + H7: 2,4 # E8: 6,9 => UNS
* INC # H1: 8 + H7: 2,4 # E8: 1,3,7 => UNS
* INC # H1: 8 + H7: 2,4 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for C1,A3: 3..:

* INC # A3: 3 # A2: 2,7 => UNS
* INC # A3: 3 # C2: 2,7 => UNS
* INC # A3: 3 # G1: 2,7 => UNS
* INC # A3: 3 # G1: 8 => UNS
* INC # A3: 3 # C7: 2,7 => UNS
* INC # A3: 3 # C7: 6 => UNS
* INC # A3: 3 # B4: 2,8 => UNS
* INC # A3: 3 # A6: 2,8 => UNS
* INC # A3: 3 # G4: 2,8 => UNS
* INC # A3: 3 # H4: 2,8 => UNS
* INC # A3: 3 # I4: 2,8 => UNS
* INC # A3: 3 # A7: 2,8 => UNS
* INC # A3: 3 # A7: 5,6,7 => UNS
* INC # A3: 3 # B5: 4,8 => UNS
* INC # A3: 3 # A6: 4,8 => UNS
* INC # A3: 3 # H5: 4,8 => UNS
* INC # A3: 3 # I5: 4,8 => UNS
* INC # A3: 3 => UNS
* INC # C1: 3 # E1: 4,7 => UNS
* INC # C1: 3 # D2: 4,7 => UNS
* INC # C1: 3 # D7: 4,7 => UNS
* INC # C1: 3 # D7: 8,9 => UNS
* INC # C1: 3 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for A6,C6: 6..:

* DIS # C6: 6 # A7: 2,7 => CTR => A7: 5,6,8
* INC # C6: 6 + A7: 5,6,8 # C1: 2,7 => UNS
* INC # C6: 6 + A7: 5,6,8 # C2: 2,7 => UNS
* DIS # C6: 6 + A7: 5,6,8 # B9: 1,2 => CTR => B9: 5,6,8
* INC # C6: 6 + A7: 5,6,8 + B9: 5,6,8 # A3: 3,7 => UNS
* INC # C6: 6 + A7: 5,6,8 + B9: 5,6,8 # A3: 5,6 => UNS
* INC # C6: 6 + A7: 5,6,8 + B9: 5,6,8 # D1: 3,7 => UNS
* INC # C6: 6 + A7: 5,6,8 + B9: 5,6,8 # E1: 3,7 => UNS
* INC # C6: 6 + A7: 5,6,8 + B9: 5,6,8 # D2: 7,9 => UNS
* INC # C6: 6 + A7: 5,6,8 + B9: 5,6,8 # F2: 7,9 => UNS
* INC # C6: 6 + A7: 5,6,8 + B9: 5,6,8 => UNS
* INC # A6: 6 # A7: 7,8 => UNS
* INC # A6: 6 # A7: 2,5 => UNS
* INC # A6: 6 # D8: 7,8 => UNS
* INC # A6: 6 # D8: 1,3,9 => UNS
* INC # A6: 6 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for H4,I4: 5..:

* INC # H4: 5 # G1: 2,8 => UNS
* INC # H4: 5 # G1: 7 => UNS
* INC # H4: 5 # H6: 2,8 => UNS
* INC # H4: 5 # H7: 2,8 => UNS
* INC # H4: 5 => UNS
* INC # I4: 5 # I2: 6,7 => UNS
* INC # I4: 5 # I2: 2 => UNS
* INC # I4: 5 # A3: 6,7 => UNS
* INC # I4: 5 # A3: 3,5 => UNS
* INC # I4: 5 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for G2,H3: 1..:

* INC # H3: 1 # G1: 2,7 => UNS
* INC # H3: 1 # I2: 2,7 => UNS
* INC # H3: 1 # A2: 2,7 => UNS
* INC # H3: 1 # C2: 2,7 => UNS
* DIS # H3: 1 # G4: 2,7 => CTR => G4: 1,3,8,9
* INC # H3: 1 + G4: 1,3,8,9 # G1: 2,7 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # G1: 8 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # A2: 2,7 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # C2: 2,7 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # G9: 3,8 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # I9: 3,8 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # D8: 3,8 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # D8: 1,7,9 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # I4: 3,8 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # I5: 3,8 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # I6: 3,8 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # G1: 2,7 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # G1: 8 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # A2: 2,7 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # C2: 2,7 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # I2: 5,6 => UNS
* INC # H3: 1 + G4: 1,3,8,9 # I2: 2 => UNS
* PRF # H3: 1 + G4: 1,3,8,9 # A3: 5,6 => SOL
* STA # H3: 1 + G4: 1,3,8,9 + A3: 5,6
* CNT  23 HDP CHAINS /  24 HYP OPENED