## Is this solvable?

Post the puzzle or solving technique that's causing you trouble and someone will help

### Is this solvable?

Is this solvable without guessing or doing multiple moves in your head?
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Jimmyb

Posts: 1
Joined: 11 December 2018

### Re: Is this solvable?

Jimmyb wrote:Is this solvable without guessing or doing multiple moves in your head?

Yes. Several simple patterns can be found which solve the puzzle. Here's one:

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`....4..7.72..65..1.86............4....5.3...6....1..8.94...87..17....3.4..........------------.--------------------.---------------.| 5  19  19  | a(2)8     4    3   | 6    7   b28  || 7  2   4   |   89      6    5   | 89   3    1   || 3  8   6   |   7       9-2  1   | 259  4    259 |:------------+--------------------+---------------:| 2  36  179 |   569     8    69  | 4    159  37  || 8  19  5   |   4       3    7   | 129  129  6   || 4  36  79  |   2569    1    269 | 59   8    37  |:------------+--------------------+---------------:| 9  4   3   |   1     d(2)5   8  | 7    6   c25  || 1  7   8   |   69-2    259  269 | 3    25   4   || 6  5   2   |   3       7    4   | 189  19   89  |'------------'--------------------'---------------'`

Skyscraper: (2)r1c4 = r1c9 - r7c9 = (2)r7c5 => -2 r3c5,r8c4; stte

In other words, the short chain proves that either r1c4 or r7c5 must be 2. Therefore 2 can be eliminated as a candidate from any cell that can see both. That leaves 9 as the only possibility for r3c5, after which the puzzle can be solved with singles.
-SpAce-: Show
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`   *             |    |               |    |    *        *        |=()=|    /  _  \    |=()=|               *            *    |    |   |-=( )=-|   |    |      *     *                     \  ¯  /                   *    `

"If one is to understand the great mystery, one must study all its aspects, not just the dogmatic narrow view of the Jedi."

SpAce

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Joined: 22 May 2017