2 similar sudokus appearing to share the same solvepath

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2 similar sudokus appearing to share the same solvepath

Postby urhegyi » Mon Oct 11, 2021 5:12 pm

Image
Code: Select all
8.......5.1...8.7.9.7.....2.....6.1...6.8...4...4.7.6.6.1.5.3...8.2...9.3...6.4..

Image
Code: Select all
8.......5.1...8.7.9.7.....3.....6.1...6.8...4...4.7.6.6.1.5.2...8.3...9.2...6.4..
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Re: 2 similar sudokus appearing to share the same solvepath

Postby shye » Mon Oct 11, 2021 5:25 pm

it seems as though this is just the same puzzle with 2s and 3s swapped, no?
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Re: 2 similar sudokus appearing to share the same solvepath

Postby urhegyi » Mon Oct 11, 2021 5:30 pm

shye wrote:it seems as though this is just the same puzzle with 2s and 3s swapped, no?

After a closer look it seems to be the same puzzle with the 2s and 3s swapped. They came from a large batch I generated with the same pattern and I missed that.
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Re: 2 similar sudokus appearing to share the same solvepath

Postby shye » Mon Oct 11, 2021 7:31 pm

.
my solution was pretty lengthy, but has some nice bits! >ᴗ>

Code: Select all
.----------------------.----------------------.------------------.
| 8     2346    234    | 13679  123479  12349 |#169    34   5    |
| 245   1       2345   | 3569   2349    8     |#69     7    39-6 |
| 9     3456    7      | 1356   134     1345  |#168    348  2    |
:----------------------+----------------------+------------------:
| 2457  234579  234589 | 359    239     6     |*25789  1   *3789 |
| 1257  23579   6      | 1359   8       12359 | 2579   35   4    |
| 125   2359    23589  | 4      1239    7     |*2589   6   *389  |
:----------------------+----------------------+------------------:
| 6     2479    1      | 789    5       49    | 3      28  #78   |
| 457   8       45     | 2      1347    134   | 57-6   9   #167  |
| 3     2579    259    | 1789   6       19    | 4      258 #178  |
'----------------------'----------------------'------------------'

ALS w-wing
(6=198)r123c7 - 8b6p17 = 8b6p39 - (8=176)r789c9
=> -6r2c9, -6r8c7

some basics, including pairs and an x-wing on 9s

Code: Select all
.--------------------.------------------.------------------.
| 8      246    234  | 169  7      12-3 | 19     4-3  5    |
| 245    1      2345 |#35   249-3  8    | 6      7    39   |
| 9      456    7    | 16  *134   *135  | 18    *348  2    |
:--------------------+------------------+------------------:
| 2457   23457  89   | 35   239    6    | 2578   1    3789 |
| 127-5  237-5  6    | 19   8     *1235 | 279-5 #35   4    |
| 125    235    89   | 4    1239   7    | 258    6    389  |
:--------------------+------------------+------------------:
| 6      9      1    | 78   5      4    | 3      2    78   |
| 457    8      45   | 2    13     13   | 57     9    6    |
| 3      257    25   | 78   6      9    | 4      58   1    |
'--------------------'------------------'------------------'

w-ring
(3=5)r2c4 - 5r3c6 = 5r5c6 - (5=3)r5c8 - 3r3c8 = 3r3c56 - 3r2c4 loop
=> -3b2p35, -3r1c8, -5r5c127

couple singles

Code: Select all
.------------------.-----------------.----------------.
| 8     26     3   | 169  7     12   |*19    4   5    |
| 245   1      245 | 35   249   8    | 6     7  *39   |
| 9     456    7   | 16   134   135  | 18   *38  2    |
:------------------+-----------------+----------------:
| 2457  23457  89  | 35   239   6    | 2578  1   3789 |
| 127  #237    6   | 19   8     1235 |~279~ *5-3 4    |
| 125   235    89  | 4    1239  7    | 258   6   389  |
:------------------+-----------------+----------------:
| 6     9      1   | 78   5     4    | 3     2   78   |
|*457   8      45  | 2    13    13   |#57    9   6    |
| 3    *257    25  | 78   6     9    | 4    *58  1    |
'------------------'-----------------'----------------'

2r5c7 - 2r5c2 = [(3=7)r5c2 - 7r9c2 = 7r8c1 - (7=5)r8c7 - 5r9c8 = 5r5c8]
 ||
7r5c7 - (7=5)r8c7 - 5r9c8 = 5r5c8
 ||
9r5c7 - 9r1c7 = (9-3)r2c9 = 3r3c8

kraken cell r5c7
=> -3r5c8 stte
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