## 200e200w's Nightmare #27

Post puzzles for others to solve here.

### 200e200w's Nightmare #27

Code: Select all
`. 9 6|2 . 1|. . 32 3 .|. . .|. 8 .. . .|. 8 .|. . .-----+-----+-----. 8 4|6 . .|. . .. . 9|7 . 4|8 . .. . .|. . 5|6 1 .-----+-----+-----. . .|. 2 .|. . .. 1 .|. . .|. 4 93 . .|1 . 9|5 6 .`

200e200w
200e200w

Posts: 208
Joined: 20 January 2018

### Re: 200e200w's Nightmare #27

Pure p&p:

1. Kraken Row: (3x5)r7 => [(5)r7c2 | (5)r3c2] => -5 r5c2 (*)
2. AIC: (3=5)r8c4 - r3c4 = r1c5 - (5=7)r1c8 - (7=3)r7c8 => -3 r7c4, r8c7
3. XY-Wing: (7=5)r8c5 - (5=4)r1c5 - (4=7)r1c7 => -7 r8c7
4. BUG+2: (5)r3c3 == (7-1)r7c7 = (1)r3c7 => -1 r3c3

(*) Step 1:
Code: Select all
`(5)r7c2 ||(5)r7c3 - r23c3 = (5)r3c2 ||(5-4)r7c4 = r7c2 - (4=7)r9c2 - (7=5)r3c2=> -5 r5c2`

PS. There's a simpler way for the first step but I missed that (I'm working on my Krakens anyway):

AIC (Grouped): (6)r8c1 = (6-4)r7c2 = (4-5)r7c4 = (5)r7c23 => -5 r8c1
Code: Select all
`   *             |    |               |    |    *        *        |=()=|    /  _  \    |=()=|               *            *    |    |   |-=( )=-|   |    |      *     *                     \  ¯  /                   *    `
SpAce

Posts: 709
Joined: 22 May 2017