March 29, 2017

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March 29, 2017

Postby ArkieTech » Tue Mar 28, 2017 10:56 pm

Code: Select all
 *-----------*
 |..4|1..|...|
 |.9.|..3|2..|
 |8..|...|.5.|
 |---+---+---|
 |9..|8..|.2.|
 |...|.7.|...|
 |.7.|..9|..4|
 |---+---+---|
 |.6.|...|..3|
 |..5|2..|...|
 |...|..7|9..|
 *-----------*


Play/Print this puzzle online
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Re: March 29, 2017

Postby Leren » Tue Mar 28, 2017 11:26 pm

Code: Select all
*-----------------------------------------------------*
| 3    2    4     | 1    6    5     | 7    8    9     |
| 5    9    6     | 7    8    3     | 2    4    1     |
| 8    1    7     | 9    24   24    | 3    5    6     |
|-----------------+-----------------+-----------------|
| 9    5   a13    | 8    34  b14    | 6    2    7     |
| 146  48  d128-3 | 36   7   c12    | 18   9    5     |
| 16   7    128   | 56   25   9     | 18   3    4     |
|-----------------+-----------------+-----------------|
| 2    6    9     | 4    1    8     | 5    7    3     |
| 7    3    5     | 2    9    6     | 4    1    8     |
| 14   48   18    | 35   35   7     | 9    6    2     |
*-----------------------------------------------------*

H2 Wing: (3=1) r4c3 - r4c6 = (1-2) r5c6 = (2) r5c3 => - 3 r5c3; stte

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Re: March 29, 2017

Postby SteveG48 » Tue Mar 28, 2017 11:41 pm

Code: Select all
 *-----------------------------------------------------------*
 | 3     2     4     | 1     6     5     | 7     8     9     |
 | 5     9     6     | 7     8     3     | 2     4     1     |
 | 8     1     7     | 9     24    24    | 3     5     6     |
 *-------------------+-------------------+-------------------|
 | 9     5    c13    | 8     34    14    | 6     2     7     |
 |b146   48  ab128-3 | 36    7     12    | 18    9     5     |
 | 16    7    b128   | 56    25    9     | 18    3     4     |
 *-------------------+-------------------+-------------------|
 | 2     6     9     | 4     1     8     | 5     7     3     |
 | 7     3     5     | 2     9     6     | 4     1     8     |
 | 14    48    18    | 35    35    7     | 9     6     2     |
 *-----------------------------------------------------------*


(8r5c3 = 1b4p469)[BUG+3] - (1=3)r4c3 => -3 r5c3
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Re: March 29, 2017

Postby Marty R. » Wed Mar 29, 2017 12:05 am

Code: Select all
+-------------+----------+--------+
| 3   2  4    | 1  6  5  | 7  8 9 |
| 5   9  6    | 7  8  3  | 2  4 1 |
| 8   1  7    | 9  24 24 | 3  5 6 |
+-------------+----------+--------+
| 9   5  13   | 8  34 14 | 6  2 7 |
| 146 48 1238 | 36 7  12 | 18 9 5 |
| 16  7  128  | 56 25 9  | 18 3 4 |
+-------------+----------+--------+
| 2   6  9    | 4  1  8  | 5  7 3 |
| 7   3  5    | 2  9  6  | 4  1 8 |
| 14  48 18   | 35 35 7  | 9  6 2 |
+-------------+----------+--------+

Play this puzzle online at the Daily Sudoku site

Kite (8), box 4, with transport

8r9c2=8r6c7-(8=12)r5c76-(2=561)r6c541-(1=48)r9c12=> 8r9c2
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Re: March 29, 2017

Postby Marty R. » Wed Mar 29, 2017 12:28 am

SteveG48 wrote:
Code: Select all
 *-----------------------------------------------------------*
 | 3     2     4     | 1     6     5     | 7     8     9     |
 | 5     9     6     | 7     8     3     | 2     4     1     |
 | 8     1     7     | 9     24    24    | 3     5     6     |
 *-------------------+-------------------+-------------------|
 | 9     5    c13    | 8     34    14    | 6     2     7     |
 |b146   48  ab128-3 | 36    7     12    | 18    9     5     |
 | 16    7    b128   | 56    25    9     | 18    3     4     |
 *-------------------+-------------------+-------------------|
 | 2     6     9     | 4     1     8     | 5     7     3     |
 | 7     3     5     | 2     9     6     | 4     1     8     |
 | 14    48    18    | 35    35    7     | 9     6     2     |
 *-----------------------------------------------------------*


(8r5c3 = 1b4p469)[BUG+3] - (1=3)r4c3 => -3 r5c3


Hi Steve,

I never noticed the BUG. I'm having trouble with the notation. Is [BUG+3) a parenthetical explanatory note or part of the 2nd term? I see where three of the four possibilities set r4c3=3 but I don't see where 8r5c3-(8=13)r45c3.
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Location: Rochester, New York, USA

Re: March 29, 2017

Postby SteveG48 » Wed Mar 29, 2017 1:26 am

Marty R. wrote:
SteveG48 wrote:
Code: Select all
 *-----------------------------------------------------------*
 | 3     2     4     | 1     6     5     | 7     8     9     |
 | 5     9     6     | 7     8     3     | 2     4     1     |
 | 8     1     7     | 9     24    24    | 3     5     6     |
 *-------------------+-------------------+-------------------|
 | 9     5    c13    | 8     34    14    | 6     2     7     |
 |b146   48  ab128-3 | 36    7     12    | 18    9     5     |
 | 16    7    b128   | 56    25    9     | 18    3     4     |
 *-------------------+-------------------+-------------------|
 | 2     6     9     | 4     1     8     | 5     7     3     |
 | 7     3     5     | 2     9     6     | 4     1     8     |
 | 14    48    18    | 35    35    7     | 9     6     2     |
 *-----------------------------------------------------------*


(8r5c3 = 1b4p469)[BUG+3] - (1=3)r4c3 => -3 r5c3


Hi Steve,

I never noticed the BUG. I'm having trouble with the notation. Is [BUG+3) a parenthetical explanatory note or part of the 2nd term? I see where three of the four possibilities set r4c3=3 but I don't see where 8r5c3-(8=13)r45c3.


Hi, Marty. The [BUG+3] is parenthetical explanation.

I'm not sure what the part I've highlighted means. My solution, using the BUG, reduces to 8r5c3 = 3r4c3. If r5c3 is not 8, then it can't be 3 either. If r5c3 is 8, then it's still not 3, therefore the conclusion.
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Re: March 29, 2017

Postby Marty R. » Wed Mar 29, 2017 2:33 am

I'm not sure what the part I've highlighted means. My solution, using the BUG, reduces to 8r5c3 = 3r4c3. If r5c3 is not 8, then it can't be 3 either. If r5c3 is 8, then it's still not 3, therefore the conclusion


The part you highlighted was my way of saying that of the four possibilities I saw the three involving the 1s and didn't see how the 8 was accounted for. I understand the solution but wouldn't have figured it out on my own in a million years (way too subtle).
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Joined: 23 October 2012
Location: Rochester, New York, USA

Re: March 29, 2017

Postby Cenoman » Wed Mar 29, 2017 9:19 am

Code: Select all
 +--------------------+-----------------+-----------------+
 |  3     2    4      |  1    6    5    |  7    8    9    |
 |  5     9    6      |  7    8    3    |  2    4    1    |
 |  8     1    7      |  9    24   24   |  3    5    6    |
 +--------------------+-----------------+-----------------+
 |  9     5   d13B    |  8    34  c14   |  6    2    7    |
 |  146   48  a1238A  |  36   7   b12   |  18   9    5    |
 |  16    7   z12-8   |  56   25   9    |  18   3    4    |
 +--------------------+-----------------+-----------------+
 |  2     6    9      |  4    1    8    |  5    7    3    |
 |  7     3    5      |  2    9    6    |  4    1    8    |
 |  14    48  e18C    |  35   35   7    |  9    6    2    |
 +--------------------+-----------------+-----------------+

UR(18)r56c37 using internals => -8 r6c3; stte
Code: Select all
(2)r5c3 - (2=1)r5c6 - r4c6 = r4c3 - (1=8)r9c3 - 8r6c3
(3)r5c3 - (3=1)r4c3 - (1=8)r9c3               - 8r6c3
(2)r6c3                                       - 8r6c3

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Re: March 29, 2017

Postby Cenoman » Wed Mar 29, 2017 10:00 am

SteveG48 wrote: (8r5c3 = 1b4p469)[BUG+3] - (1=3)r4c3 => -3 r5c3


BUG+3 or BUG+4 ?
There are three cells involved, but four candidates.
Four candidates can avoid the BUG : 1r5c1, 8r5c3, 1r5c3, 1r6c3.
Therefore your strong link 8r5c3 = 1b4p469 is definitely correct.

I'd rather write it BUG+4: (8r5c3 == 1b4p469) - (1=3)r4c3 => -3 r5c3
with a double symbol == in order to emphazise the derivation of the SIS.

Anyhow, your path is nice and neat !

Best regards, Cenoman.
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Re: March 29, 2017

Postby bat999 » Wed Mar 29, 2017 10:05 am

Code: Select all
.-----------------.---------------.----------.
| 3    2    4     | 1    6     5  | 7   8  9 |
| 5    9    6     | 7    8     3  | 2   4  1 |
| 8    1    7     | 9    24    24 | 3   5  6 |
:-----------------+---------------+----------:
| 9    5   a13    | 8   b34   b14 | 6   2  7 |
| 146  48   138-2 | 36   7    b12 | 18  9  5 |
| 16   7   a128   | 56   5-2   9  | 18  3  4 |
:-----------------+---------------+----------:
| 2    6    9     | 4    1     8  | 5   7  3 |
| 7    3    5     | 2    9     6  | 4   1  8 |
| 14   48  a18    | 35   35    7  | 9   6  2 |
'-----------------'---------------'----------'
(2=3)r469c3 - (3=2)r4c56,r5c6 => -2 r5c3,r6c5; stte
8-)
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Re: March 29, 2017

Postby SteveG48 » Wed Mar 29, 2017 7:18 pm

Cenoman wrote:
SteveG48 wrote: (8r5c3 = 1b4p469)[BUG+3] - (1=3)r4c3 => -3 r5c3


BUG+3 or BUG+4 ?
There are three cells involved, but four candidates.


Marty told me awhile back that it was the number of cells, not the number of candidates, that determines the notation. I hope I remember that correctly. :)
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