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*-----------*
|..2|1.5|7..|
|.6.|.3.|.2.|
|3..|...|..5|
|---+---+---|
|9..|876|..2|
|.4.|.5.|.9.|
|8..|941|..7|
|---+---+---|
|2..|...|..4|
|.1.|.9.|.5.|
|..9|4.3|2..|
*-----------*
Play/Print this puzzle online
*-----------*
|..2|1.5|7..|
|.6.|.3.|.2.|
|3..|...|..5|
|---+---+---|
|9..|876|..2|
|.4.|.5.|.9.|
|8..|941|..7|
|---+---+---|
|2..|...|..4|
|.1.|.9.|.5.|
|..9|4.3|2..|
*-----------*
*--------------------------------------------------------------*
| 4 9 2 | 1 8 5 | 7 36 36 |
|b15 6 158 | 7 3 4 |c18 2 9 |
| 3 78 178 | 6 2 9 | 148 148 5 |
|--------------------+--------------------+--------------------|
| 9 35 135 | 8 7 6 | 1345 14 2 |
|a167 4 167 | 3 5 2 |d168 9 e68-1 |
| 8 2 356 | 9 4 1 | 356 36 7 |
|--------------------+--------------------+--------------------|
| 2 378 3678 | 5 16 78 | 9 178 4 |
| 67 1 4 | 2 9 78 | 368 5 368 |
| 567 578 9 | 4 16 3 | 2 178 168 |
*--------------------------------------------------------------*
Hmmm ... In fact : r5c79=16 or 18 or 68 ! Therefore, one could write :7b53 wrote:(18=68)r5c79 = (6)r6c3 - r7c3 = (6-1)r7c5 = r7c8 = (no 1 column 9) => r5c79 = 18
what's the proper way to notate this ?
found an easier way...
(1)r4c3 = (6)r6c3 - r7c3 = (6-1)r7c5 = r7c8 - r9c9 = r5c9 => r5c13, r4c78 <> 1
JC Van Hay wrote:Hmmm ... In fact : r5c79=16 or 18 or 68 ! Therefore, one could write :
Chain[6] : (18=6)r5c79-6r6c78=6r6c3-6r7c3=(6-1)r7c5=1r7c8-1r9c9=(18)r5c79 :=> r5c79=18
Or ... Chain[5] : 6r6c78=6r6c3-6r7c3=(6-1)r7c5=1r7c8-1r9c9=(1*-8)r5c9=8r5c7 :=> -6r5c79*(=18)
which is 1) easier to understand and 2) shorter than the "easier way" Chain[6].
+--------------+---------+--------------+
| 4 9 2 | 1 8 5 | 7 36 36 |
| 15 6 158 | 7 3 4 | 18 2 9 |
| 3 78 178 | 6 2 9 | 148 148 5 |
+--------------+---------+--------------+
| 9 35 135 | 8 7 6 | 1345 14 2 |
| 167 4 167 | 3 5 2 | 168 9 168 |
| 8 2 356 | 9 4 1 | 356 36 7 |
+--------------+---------+--------------+
| 2 378 3678 | 5 16 78 | 9 178 4 |
| 67 1 4 | 2 9 78 | 368 5 368 |
| 567 578 9 | 4 16 3 | 2 178 168 |
+--------------+---------+--------------+