- Code: Select all
*-----------*
|74.|...|9..|
|...|8..|.2.|
|.9.|.5.|...|
|---+---+---|
|8..|5..|...|
|.6.|.9.|.8.|
|...|1.2|...|
|---+---+---|
|.72|...|4..|
|6.4|...|.3.|
|1..|3.8|...|
*-----------*
Play/Print this puzzle online
*-----------*
|74.|...|9..|
|...|8..|.2.|
|.9.|.5.|...|
|---+---+---|
|8..|5..|...|
|.6.|.9.|.8.|
|...|1.2|...|
|---+---+---|
|.72|...|4..|
|6.4|...|.3.|
|1..|3.8|...|
*-----------*
+-----------------+------------------+---------------------+
| 7 4 8 | e26 23 f16 | 9 a5-16 1356 |
| 5 1 36 | 8 37 9 | 367 2 4 |
| 2 9 36 | 4 5 167 | 8 167 1367 |
+-----------------+------------------+---------------------+
| 8 2 17 | 5 6 4 | 137 179 1379 |
| 4 6 15 | 7 9 3 | 125 8 125 |
| 9 3 57 | 1 8 2 | 567 4 567 |
+-----------------+------------------+---------------------+
| 3 7 2 | d69 1 c56 | 4 b59 8 |
| 6 8 4 | 29 27 57 | 15 3 159 |
| 1 5 9 | 3 4 8 | 267 67 267 |
+-----------------+------------------+---------------------+
*-----------------------------------------------------------*
| 7 4 8 | 2-6 23 a16 | 9 a156 1356 |
| 5 1 36 | 8 37 9 | 367 2 4 |
| 2 9 36 | 4 5 167 | 8 167 1367 |
*-------------------+-------------------+-------------------|
| 8 2 17 | 5 6 4 | 137 179 1379 |
| 4 6 15 | 7 9 3 | 125 8 125 |
| 9 3 57 | 1 8 2 | 567 4 567 |
*-------------------+-------------------+-------------------|
| 3 7 2 |b69 1 56 | 4 b59 8 |
| 6 8 4 | 29 27 57 | 15 3 159 |
| 1 5 9 | 3 4 8 | 267 67 267 |
*-----------------------------------------------------------*
Cenoman wrote:
- Code: Select all
+-----------------+------------------+---------------------+
| 7 4 8 | e26 23 f16 | 9 a5-16 1356 |
| 5 1 36 | 8 37 9 | 367 2 4 |
| 2 9 36 | 4 5 167 | 8 167 1367 |
+-----------------+------------------+---------------------+
| 8 2 17 | 5 6 4 | 137 179 1379 |
| 4 6 15 | 7 9 3 | 125 8 125 |
| 9 3 57 | 1 8 2 | 567 4 567 |
+-----------------+------------------+---------------------+
| 3 7 2 | d69 1 c56 | 4 b59 8 |
| 6 8 4 | 29 27 57 | 15 3 159 |
| 1 5 9 | 3 4 8 | 267 67 267 |
+-----------------+------------------+---------------------+
(5)r1c8 = r7c8 - (5=6)r7c6 - r7c4 = r1c4* - (6=1)r1c6 => -6 r1c89*, -1 r1c89; stte
SteveG48 wrote:
Hi, Cenoman. I see -16 r1c8, as indicated on your grid, and that solves the puzzle. However, I don't see -16 r1c9. It turns out that 1 is true in r1c9.
+--------------+--------------+---------------+
| 7 4 8 |b26 23 B16 | 9 Aa156 1356 |
| 5 1 36 | 8 37 9 | 367 2 4 |
| 2 9 36 | 4 5 167 | 8 167 1367 |
+--------------+--------------+---------------+
| 8 2 17 | 5 6 4 | 137 179 1379 |
| 4 6 15 | 7 9 3 | 125 8 125 |
| 9 3 57 | 1 8 2 | 567 4 567 |
+--------------+--------------+---------------+
| 3 7 2 |c69 1 d56 | 4 9-5 8 |
| 6 8 4 | 29 27 57 | 15 3 159 |
| 1 5 9 | 3 4 8 | 267 67 267 |
+--------------+--------------+---------------+
6r1c8 - r1c4 = r7c4 - r7c6 = 5r7c6 - 5r7c8; abcd
1r1c8 - (1=6)r1c6 - r7c6 = 5r7c6 - 5r7c8; ABd
5r1c8 - 5r7c8;
7 4 8 |d26 c23 16 | 9 a156 b1356
5 1 36 | 8 37 9 | 367 2 4
2 9 36 | 4 5 167 | 8 167 1367
------------------------+----------------------+---------------------
8 2 17 | 5 6 4 | 137 179 1379
4 6 15 | 7 9 3 | 125 8 125
9 3 57 | 1 8 2 | 567 4 567
------------------------+----------------------+---------------------
3 7 2 |e69 1 f56 | 4 9-5 8
6 8 4 | 29 27 57 | 15 3 159
1 5 9 | 3 4 8 | 267 67 267
+------------------+----------------------+-------------------------+
| 7 4 8 | 26 f23 16 | 9 d156 e1356 |
| 5 1 36 | 8 g37 9 | 367 2 4 |
| 2 9 36 | 4 5 16-7| 8 167 1367 |
+------------------+----------------------+-------------------------+
| 8 2 17 | 5 6 4 | 137 179 1379 |
| 4 6 15 | 7 9 3 | 125 8 125 |
| 9 3 57 | 1 8 2 | 567 4 567 |
+------------------+----------------------+-------------------------+
| 3 7 2 |69 1 56 | 4 c59 8 |
| 6 8 4 |29 2-7 a57 |b15 3 b159 |
| 1 5 9 | 3 4 8 | 267 67 267 |
+------------------+----------------------+-------------------------+