13
$\begingroup$

This is a Palisade (or n-Cells) puzzle. The rules are:

  • Thicken some of the squares' sides so the thick borders outline cells. One such cell comprises just one square; one cell comprises precisely two squares; one cell comprises three squares; and so on up to a ten-square cell.
  • Any square with a number in it indicates how many of its sides are thickened. Note that if the square is along a side of the entire diagram, then that side counts as one of the thickened sides.
  • Thickened sides can be used only as parts of cell outlines: no thickened side can have both of its sides in the same cell.

Note that this is among the easier Palisade puzzles. I don't recommend it if you're experienced with the genre and looking for a challenge.

$\endgroup$
10
$\begingroup$

Step 1:

First, draw all the obvious non-borders.
Step 1

Step 2:

There is an area that must be at least 10 cells; this must be the 10-cell area. Bordering it off traps a 1-cell area. Now no other areas can be 1-cell, so we can draw some non-border lines.
Step 2

Step 3:

The 9-cell area has been identified. Drawing its borders threatens to trap some 1-cell areas, so more non-border lines can be drawn. Also, a few 2 clues have been satisfied, so they can have more non-border lines drawn.
Step 3

Step 4:

That area in the bottom left corner must be at least 8-cell; it already has 7 cells and its unsatisfied 2 clue (R5C5) must have one more non-border line, so another cell will connect. Therefore no other areas can be 8-cell. The 7-cell and 6-cell areas are forced on the top.
Step 4

Step 5:

The 5-cell and 4-cell areas are forced.
Step 5

Step 6:

The bottom-left area's last 2 (R5C5) can't connect to the right any more, as that would make a 9-area. Therefore we can resolve it and finish its area.
Step 6

Step 7/solution:

The 2 clue in R5C6 already has 2 borders and so must have a non-border line up. This forces it to be part of a 3-cell area, which forces the 2-cell area, and the puzzle is solved.
Step 7

$\endgroup$
2
  • $\begingroup$ I'm trying to figure out whether the solution forms an image that's related to the title... Seems like the 5-cell and the 7-cell form a tree, and the 6-cell is a moon perhaps? $\endgroup$
    – Egor Hans
    Apr 21 at 8:25
  • $\begingroup$ @EgorHans the title is another line $\endgroup$
    – msh210
    Apr 21 at 9:43

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.