| View previous topic :: View next topic |
| Author |
Message |
| Bob Hanson
| | Joined: 05 Oct 2005 | | Posts: 187 | | : | | Location: St. Olaf College |
Items |
|
 Posted: Fri Nov 25, 2005 2:18 pm Post subject: top95 catalog of methods |
 |
|
I've created a catalog of the methods used for solving the top95 puzzles.
Here is the summary.
Details, including links for each puzzle that load them directly into Sudoku Assistant, may be found at http://www.stolaf.edu/people/hansonr/sudoku/top95-methods.htm
Methods used (in order of necessity):
cross-hatch scanning (looking for singles; required)
range checking (locked candidates)
row/cell/block subset elimination
W: grid (weak cycle) analysis (X-wings, Swordfish, etc.)
M: 3D Medusa chain analysis -- strong+weak
P: hypothesis and disproof (trial and error)
Uniqueness and magic cells weren't tested.
| Code: |
methods puzzles
------ -------
basic 25
M 21
MP 25
W 2
WM 6
WMP 16
--------------
Total 95
puz meth #W #M #P #steps
-------------------------------
1 28
2 34
3 32
4 M 1 51
5 M 2 49
6 29
7 MP 5 6 50
8 M 4 50
9 MP 6 8 55
10 M 4 52
11 MP 3 3 43
12 MP 10 3 31
13 M 3 32
14 WMP 1 5 1 46
15 34
16 MP 2 2 43
17 M 4 26
18 39
19 MP 2 6 32
20 MP 9 2 34
21 49
22 MP 2 1 30
23 30
24 M 3 31
25 M 1 25
26 28
27 32
28 MP 5 2 39
29 M 7 26
30 42
31 WMP 1 4 5 36
32 M 3 33
33 26
34 39
35 WMP 2 20 6 56
36 25
37 30
38 WM 1 1 25
39 WMP 2 8 3 29
40 MP 8 2 39
41 M 2 51
42 41
43 WMP 1 1 5 34
44 23
45 WMP 2 32 21 82
46 MP 1 2 35
47 M 4 39
48 MP 16 5 43
49 34
50 MP 19 10 58
51 WMP 1 3 1 38
52 WM 1 10 49
53 WM 1 2 24
54 WMP 2 9 8 43
55 M 6 26
56 MP 9 12 51
57 25
58 WMP 1 10 13 52
59 WMP 2 6 10 45
60 WMP 1 14 24 67
61 WMP 1 6 7 41
62 35
63 W 1 26
64 WMP 2 11 9 55
65 MP 10 4 41
66 WMP 1 11 6 47
67 41
68 MP 3 1 45
69 WMP 4 12 21 63
70 M 5 34
71 WM 1 1 41
72 M 2 25
73 41
74 M 1 41
75 MP 7 33 72
76 M 2 45
77 WM 1 1 26
78 22
79 42
80 M 1 42
81 MP 8 1 27
82 M 6 32
83 MP 3 2 46
84 29
85 WM 2 13 37
86 MP 13 3 43
87 M 4 28
88 MP 17 1 50
89 MP 13 3 47
90 MP 3 3 35
91 MP 9 1 35
92 MP 17 1 61
93 WMP 1 12 15 64
94 M 8 33
95 W 1 36
|
Source:
This table was generated as follows:
1. started Sudoku Assistant http://www.stolaf.edu/people/hansonr/sudoku/
2. clicked on "numeric block input"
3. selected "all95", http://magictour.free.fr/top95
4. carried out "automatic run"
5. clicked on "show run log"
6. moved that information into Microsoft Excel
7. played around with it
8. created a pivot table
---Added later to this post:
The original table I had here had some flaws -- I've replaced it with
a better table. Also, at http://www.stolaf.edu/people/hansonr/sudoku/top95-analysis.htm
you will find a detailed discussion of how the top95 puzzles "crack" in terms of X-cycles (coloring), Y-cycles, and 3D Medusa analysis.
I'd have to say the #45 is the all-around "hardest Sudoku" winner, wouldn't you say?
Comments appreciated.
_________________
Bob Hanson
Professor of Chemistry
St. Olaf College
Northfield, MN
http://www.stolaf.edu/people/hansonr
Last edited by Bob Hanson on Sat Nov 26, 2005 11:37 pm; edited 1 time in total |
|
| Back to top |
|
 |
| dukuso
| | Joined: 14 Jul 2005 | | Posts: 424 | | : | | Location: germany |
Items |
|
| Posted: Sat Nov 26, 2005 5:18 am Post subject: |
|
|
I can't see much correlation between your rating and mine.
What do you get on random sudokus after filtering the easy ones ?
Seems that you could just as well have taken the 95 last in
my top2365 list and still get the same numbers for that table !? |
|
| Back to top |
|
|
| Bob Hanson
| | Joined: 05 Oct 2005 | | Posts: 187 | | : | | Location: St. Olaf College |
Items |
|
| Posted: Sat Nov 26, 2005 11:49 pm Post subject: |
|
|
Interesting. I wasn't thinking about these as "ratings" -- they just define what methods are necessary for completion (within this finite set of methods). It's along the lines of what Glenn Fowler put up at http://www.research.att.com/~gsf/sudoku/ Although, I did pick out #45 there, I guess.
Anyway, I thought this might be useful. It answered the question I had as to whether the 3D Medusa business is worth trying.
_________________
Bob Hanson
Professor of Chemistry
St. Olaf College
Northfield, MN
http://www.stolaf.edu/people/hansonr |
|
| Back to top |
|
|
| dukuso
| | Joined: 14 Jul 2005 | | Posts: 424 | | : | | Location: germany |
Items |
|
| Posted: Sun Nov 27, 2005 5:26 am Post subject: |
|
|
| Bob Hanson wrote: | | ... It answered the question I had as to whether the 3D Medusa business is worth trying. |
and, what is the answer ? |
|
| Back to top |
|
|
|
FAQ
Search
Memberlist
Usergroups
Register
Profile
Log in
Log in to check your private messages
