Analysis of xx-ph-00000962-L73-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .....67..4...8......91....5.35....9...13....28...7.......2...51.....46.........3. initial

Autosolve

position: .....67..4...8......91....5.35....9...13....28...7.......2...51.....46.........3. 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: 0:00:00.000010

List of important HDP chains detected for G5,G6: 5..:

* DIS # G6: 5 # H5: 4,8 => CTR => H5: 6,7
* CNT   1 HDP CHAINS /  24 HYP OPENED

List of important HDP chains detected for G6,I6: 3..:

* PRF # G6: 3 # H5: 4,6 => SOL
* STA # G6: 3 + H5: 4,6
* CNT   1 HDP CHAINS /   5 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

.....67..4...8......91....5.35....9...13....28...7.......2...51.....46.........3. initial
.....67..4...8......91....5.35....9...13....28...7.......2...51.....46.........3. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H8,G9: 2.. / H8 = 2  =>  2 pairs (_) / G9 = 2  =>  1 pairs (_)
G6,I6: 3.. / G6 = 3  =>  2 pairs (_) / I6 = 3  =>  1 pairs (_)
G5,G6: 5.. / G5 = 5  =>  1 pairs (_) / G6 = 5  =>  2 pairs (_)
I4,H5: 7.. / I4 = 7  =>  2 pairs (_) / H5 = 7  =>  2 pairs (_)
A4,I4: 7.. / A4 = 7  =>  2 pairs (_) / I4 = 7  =>  2 pairs (_)
H5,H8: 7.. / H5 = 7  =>  2 pairs (_) / H8 = 7  =>  2 pairs (_)
* DURATION: 0:00:04.109914  START: 14:54:00.440484  END: 14:54:04.550398 2020-11-23
* CP COUNT: (6)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H5,H8: 7.. / H5 = 7 ==>  2 pairs (_) / H8 = 7 ==>  2 pairs (_)
A4,I4: 7.. / A4 = 7 ==>  2 pairs (_) / I4 = 7 ==>  2 pairs (_)
I4,H5: 7.. / I4 = 7 ==>  2 pairs (_) / H5 = 7 ==>  2 pairs (_)
G5,G6: 5.. / G5 = 5 ==>  1 pairs (_) / G6 = 5 ==>  3 pairs (_)
G6,I6: 3.. / G6 = 3 ==>  0 pairs (*) / I6 = 3  =>  0 pairs (X)
* DURATION: 0:00:55.516554  START: 14:54:04.551362  END: 14:55:00.067916 2020-11-23
* REASONING G5,G6: 5..
* DIS # G6: 5 # H5: 4,8 => CTR => H5: 6,7
* CNT   1 HDP CHAINS /  24 HYP OPENED
* REASONING G6,I6: 3..
* PRF # G6: 3 # H5: 4,6 => SOL
* STA # G6: 3 + H5: 4,6
* CNT   1 HDP CHAINS /   5 HYP OPENED
* DCP COUNT: (5)
* SOLUTION FOUND

Header Info

962;L73;elev;21;11.30;11.30;6.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H5,H8: 7..:

* INC # H5: 7 # B5: 6,9 => UNS
* INC # H5: 7 # B6: 6,9 => UNS
* INC # H5: 7 # E5: 6,9 => UNS
* INC # H5: 7 # E5: 4,5 => UNS
* INC # H5: 7 # A7: 6,9 => UNS
* INC # H5: 7 # A9: 6,9 => UNS
* INC # H5: 7 # G9: 2,8 => UNS
* INC # H5: 7 # G9: 4,9 => UNS
* INC # H5: 7 # B8: 2,8 => UNS
* INC # H5: 7 # C8: 2,8 => UNS
* INC # H5: 7 # H1: 2,8 => UNS
* INC # H5: 7 # H3: 2,8 => UNS
* INC # H5: 7 => UNS
* INC # H8: 7 # B6: 2,6 => UNS
* INC # H8: 7 # C6: 2,6 => UNS
* INC # H8: 7 # E4: 2,6 => UNS
* INC # H8: 7 # E4: 1,4 => UNS
* INC # H8: 7 # A3: 2,6 => UNS
* INC # H8: 7 # A3: 3,7 => UNS
* INC # H8: 7 # G7: 8,9 => UNS
* INC # H8: 7 # I9: 8,9 => UNS
* INC # H8: 7 # B8: 8,9 => UNS
* INC # H8: 7 # D8: 8,9 => UNS
* INC # H8: 7 # I1: 8,9 => UNS
* INC # H8: 7 # I1: 3,4 => UNS
* INC # H8: 7 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for A4,I4: 7..:

* INC # A4: 7 # B5: 6,9 => UNS
* INC # A4: 7 # B6: 6,9 => UNS
* INC # A4: 7 # E5: 6,9 => UNS
* INC # A4: 7 # E5: 4,5 => UNS
* INC # A4: 7 # A7: 6,9 => UNS
* INC # A4: 7 # A9: 6,9 => UNS
* INC # A4: 7 # G9: 2,8 => UNS
* INC # A4: 7 # G9: 4,9 => UNS
* INC # A4: 7 # B8: 2,8 => UNS
* INC # A4: 7 # C8: 2,8 => UNS
* INC # A4: 7 # H1: 2,8 => UNS
* INC # A4: 7 # H3: 2,8 => UNS
* INC # A4: 7 => UNS
* INC # I4: 7 # B6: 2,6 => UNS
* INC # I4: 7 # C6: 2,6 => UNS
* INC # I4: 7 # E4: 2,6 => UNS
* INC # I4: 7 # E4: 1,4 => UNS
* INC # I4: 7 # A3: 2,6 => UNS
* INC # I4: 7 # A3: 3,7 => UNS
* INC # I4: 7 # G7: 8,9 => UNS
* INC # I4: 7 # I9: 8,9 => UNS
* INC # I4: 7 # B8: 8,9 => UNS
* INC # I4: 7 # D8: 8,9 => UNS
* INC # I4: 7 # I1: 8,9 => UNS
* INC # I4: 7 # I1: 3,4 => UNS
* INC # I4: 7 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for I4,H5: 7..:

* INC # I4: 7 # B6: 2,6 => UNS
* INC # I4: 7 # C6: 2,6 => UNS
* INC # I4: 7 # E4: 2,6 => UNS
* INC # I4: 7 # E4: 1,4 => UNS
* INC # I4: 7 # A3: 2,6 => UNS
* INC # I4: 7 # A3: 3,7 => UNS
* INC # I4: 7 # G7: 8,9 => UNS
* INC # I4: 7 # I9: 8,9 => UNS
* INC # I4: 7 # B8: 8,9 => UNS
* INC # I4: 7 # D8: 8,9 => UNS
* INC # I4: 7 # I1: 8,9 => UNS
* INC # I4: 7 # I1: 3,4 => UNS
* INC # I4: 7 => UNS
* INC # H5: 7 # B5: 6,9 => UNS
* INC # H5: 7 # B6: 6,9 => UNS
* INC # H5: 7 # E5: 6,9 => UNS
* INC # H5: 7 # E5: 4,5 => UNS
* INC # H5: 7 # A7: 6,9 => UNS
* INC # H5: 7 # A9: 6,9 => UNS
* INC # H5: 7 # G9: 2,8 => UNS
* INC # H5: 7 # G9: 4,9 => UNS
* INC # H5: 7 # B8: 2,8 => UNS
* INC # H5: 7 # C8: 2,8 => UNS
* INC # H5: 7 # H1: 2,8 => UNS
* INC # H5: 7 # H3: 2,8 => UNS
* INC # H5: 7 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for G5,G6: 5..:

* INC # G6: 5 # G4: 4,8 => UNS
* INC # G6: 5 # I4: 4,8 => UNS
* DIS # G6: 5 # H5: 4,8 => CTR => H5: 6,7
* INC # G6: 5 + H5: 6,7 # G3: 4,8 => UNS
* INC # G6: 5 + H5: 6,7 # G7: 4,8 => UNS
* INC # G6: 5 + H5: 6,7 # G9: 4,8 => UNS
* INC # G6: 5 + H5: 6,7 # G4: 4,8 => UNS
* INC # G6: 5 + H5: 6,7 # I4: 4,8 => UNS
* INC # G6: 5 + H5: 6,7 # G3: 4,8 => UNS
* INC # G6: 5 + H5: 6,7 # G7: 4,8 => UNS
* INC # G6: 5 + H5: 6,7 # G9: 4,8 => UNS
* INC # G6: 5 + H5: 6,7 # G4: 4,8 => UNS
* INC # G6: 5 + H5: 6,7 # I4: 4,8 => UNS
* INC # G6: 5 + H5: 6,7 # G3: 4,8 => UNS
* INC # G6: 5 + H5: 6,7 # G7: 4,8 => UNS
* INC # G6: 5 + H5: 6,7 # G9: 4,8 => UNS
* INC # G6: 5 + H5: 6,7 # I4: 6,7 => UNS
* INC # G6: 5 + H5: 6,7 # I4: 4,8 => UNS
* INC # G6: 5 + H5: 6,7 # A5: 6,7 => UNS
* INC # G6: 5 + H5: 6,7 # B5: 6,7 => UNS
* INC # G6: 5 + H5: 6,7 => UNS
* INC # G5: 5 # F7: 8,9 => UNS
* INC # G5: 5 # F9: 8,9 => UNS
* INC # G5: 5 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for G6,I6: 3..:

* INC # G6: 3 # F7: 8,9 => UNS
* INC # G6: 3 # F9: 8,9 => UNS
* INC # G6: 3 # I4: 4,6 => UNS
* PRF # G6: 3 # H5: 4,6 => SOL
* STA # G6: 3 + H5: 4,6
* CNT   4 HDP CHAINS /   5 HYP OPENED