The New Sudoku Players' Forum

[ArkieTech]

Code: Select all

 *-----------*
 |...|6.7|...|
 |...|...|.12|
 |8..|.19|...|
 |---+---+---|
 |...|...|..8|
 |.4.|...|271|
 |...|.25|.3.|
 |---+---+---|
 |..2|...|...|
 |618|...|..3|
 |.3.|...|59.|
 *-----------*


Play/Print this puzzle online

[Leren]

Code: Select all

*--------------------------------------------------------------*
| 19    2     19     | 6     3     7      | 8     4     5      |
|e37    67   d36     | 45    45    8      | 9     1     2      |
| 8     5     4      | 2     1     9      | 3     6     7      |
|--------------------+--------------------+--------------------|
| 2     67   c39     |b3479  479   1      | 46    5     8      |
| 39    4     5      | 8     69    36     | 2     7     1      |
|f17    8     16     | 4-7   2     5      | 46    3     9      |
|--------------------+--------------------+--------------------|
| 5     9     2      |a37    67    36     | 1     8     4      |
| 6     1     8      | 59    59    4      | 7     2     3      |
| 4     3     7      | 1     8     2      | 5     9     6      |
*--------------------------------------------------------------*

(7=3) r7c4 - r4c4 = r4c3 - r2c3 = (3-7) r2c1 = (7) r6c1 => - 7 r6c4; stte

Leren

[SteveG48]

Code: Select all

 *------------------------------------------------------------*
 | 19    2     19    | 6      3     7     | 8     4     5     |
 |b37   c67    36    | 45     45    8     | 9     1     2     |
 | 8     5     4     | 2      1     9     | 3     6     7     |
 *-------------------+--------------------+-------------------|
 | 2    d67   a39    |e479-3 e479   1     | 46    5     8     |
 |b39    4     5     | 8      69    36    | 2     7     1     |
 | 17    8     16    |f47     2     5     | 46    3     9     |
 *-------------------+--------------------+-------------------|
 | 5     9     2     |g37     67    36    | 1     8     4     |
 | 6     1     8     | 59     59    4     | 7     2     3     |
 | 4     3     7     | 1      8     2     | 5     9     6     |
 *------------------------------------------------------------*


(3=9)r4c3 - (9=37)r25c1 - 7r2c2 = r4c2 - r4c45 = r6c4 - (7=3)r7c4 => -3 r4c4 ; stte

Or, BUG+3 => 4r4c4|7r4c4|9r4c5 => -7 r7c4 ; stte

[Marty R.]

Code: Select all

+----------+-------------+--------+
| 19 2  19 | 6    3   7  | 8  4 5 |
| 37 67 36 | 45   45  8  | 9  1 2 |
| 8  5  4  | 2    1   9  | 3  6 7 |
+----------+-------------+--------+
| 2  67 39 | 3479 479 1  | 46 5 8 |
| 39 4  5  | 8    69  36 | 2  7 1 |
| 17 8  16 | 47   2   5  | 46 3 9 |
+----------+-------------+--------+
| 5  9  2  | 37   67  36 | 1  8 4 |
| 6  1  8  | 59   59  4  | 7  2 3 |
| 4  3  7  | 1    8   2  | 5  9 6 |
+----------+-------------+--------+


Play this puzzle online at the Daily Sudoku site

BU+2, 7r4c4=4r4c4=9r4c5
7r4c4-r4c5=7r7c5
4r4c4-(4=7)r6c4-r4c5=r7c5
9r4c5-(9=67)r57c5=> 7r7c5

Steve, I learned this the hard way. I think it's a BUG +2. The number after the + refers to number of cells, not number of possibilities. At least that's the way I remember my lesson.

[SteveG48]

Thanks, Marty. I'll remember that.

[pjb]

Code: Select all

 19      2       19     | 6      3      7      | 8      4      5     
a37      67      6-3    | 45     45     8      | 9      1      2     
 8       5       4      | 2      1      9      | 3      6      7     
------------------------+----------------------+---------------------
 2       67     f39     |e3479   479    1      | 46     5      8     
 9-3     4       5      | 8      69     36     | 2      7      1     
b17      8       16     |c47     2      5      | 46     3      9     
------------------------+----------------------+---------------------
 5       9       2      |d37     67     36     | 1      8      4     
 6       1       8      | 59     59     4      | 7      2      3     
 4       3       7      | 1      8      2      | 5      9      6     


(3=7)r2c1 - r6c1 = r6c4 - (7=3)r7c4 - r4c4 = r4c3 => -3 r2c3, r5c1; stte

Phil

[Marty R.]

Code: Select all

+----------+-------------+--------+
| 19 2  19 | 6    3   7  | 8  4 5 |
| 37 67 36 | 45   45  8  | 9  1 2 |
| 8  5  4  | 2    1   9  | 3  6 7 |
+----------+-------------+--------+
| 2  67 39 | 3479 479 1  | 46 5 8 |
| 39 4  5  | 8    69  36 | 2  7 1 |
| 17 8  16 | 47   2   5  | 46 3 9 |
+----------+-------------+--------+
| 5  9  2  | 37   67  36 | 1  8 4 |
| 6  1  8  | 59   59  4  | 7  2 3 |
| 4  3  7  | 1    8   2  | 5  9 6 |
+----------+-------------+--------+


Play this puzzle online at the Daily Sudoku site

BUG+2, 7r4c4=4r4c4=9r4c5
7r4c4-r4c5=7r7c5
4r4c4-(4=7)r6c4-r4c5=r7c5
9r4c5-(9=67)r57c5=> 7r7c5

Also, obtain same result using DP (45-49-59)
3r4c4=7r4c45 yield common outcome
7r4c45-(7=61)b4p29-(1=93)r14c3-r4c4=r5c6-(3=67)r7c56
3r4c4-(3=916)r146c3-(6=47)r6c47-r7c4=7r7c5=> 7r7c5

[Sudtyro2]

Also, obtain same result using DP (45-49-59)
3r4c4=7r4c45 yield common outcome
7r4c45-(7=61)b4p29-(1=93)r14c3-r4c4=r5c6-(3=67)r7c56
3r4c4-(3=916)r146c3-(6=47)r6c47-r7c4=7r7c5=> 7r7c5

Marty, can you do anything with the externals? There's 9r5c5 and 4r6c4 in b5, and also 9r4c3 and 4r4c7 in r4.
I can't seem to nail the chains.

SteveC

[Marty R.]

Marty, can you do anything with the externals? There's 9r5c5 and 4r6c4 in b5, and also 9r4c3 and 4r4c7 in r4.
I can't seem to nail the chains.

I'm sure I monkeyed around with it, but I now see something that I think works, but seems too simple to be real.

(9=654)=> -4r2c4,r4c5

[blue]

Marty, can you do anything with the externals? There's 9r5c5 and 4r6c4 in b5, and also 9r4c3 and 4r4c7 in r4.
I can't seem to nail the chains.

Here are some that use Marty's cells, etc. ...

B5 externals:
9r5c5 - r4c45 = 9r4c3 - (9=1)r1c3 - (1=6)r6c3 - (6=4)r6c7 - (4=7)r6c4 - r7c4 = 7r7c5
4r6c4 - (4=6)r6c7 - (6=1)r6c3 - (1=9)r1c3 - (9=3)r4c3 - r4c4 = r5c6 - (3=6)r7c6 - (6=7)r7c5

R4 externals:
9r4c3 - (9=1)r1c3 - (1=6)r6c3 - (6=4)r6c7 - (4=7)r6c4 - r7c4 = 7r7c5
4r4c7 - (4=6)r6c7 - (6=1)r6c3 - (1=9)r1c3 - (9=3)r4c3 - r4c4 = r5c6 - (3=6)r7c6 - (6=7)r7c5

[Sudtyro2]

Thanks to Marty and Blue for the interesting feedback...

I'm sure I monkeyed around with it, but I now see something that I think works, but seems too simple to be real.
(9=654)=> -4r2c4,r4c5

I assume the ALS refers to (9=654)r258c5. But, don't we need to assume the single 9r5c5 to be true?

Blue, simply awesome! I finally figured it out...on chains, my brain shuts down after nine links...

SteveC

[Marty R.]

I assume the ALS refers to (9=654)r258c5. But, don't we need to assume the single 9r5c5 to be true?

Yes. I miswrote the ALS.

The simple solution is (6=9)r5c5-(9=5)r8c5-(5=4)r2c5 and I shortened it improperly.