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I believe I have invented** a new type of puzzle...

What is its name?

enter image description here

Begin by solving the Fillomino puzzle:

Rules of Fillomino (adapted from Nikoli)

  • Fill in all empty cells with numbers under the following rules.
  • Numbers should be grouped together into 'blocks' of orthogonally connected cells in which each cell contains the same number.
  • The total number of cells making up each 'block' equals the value they all share (e.g. a block of two 2's, three 3's, etc.).
  • Different 'blocks' of the same size and value cannot border each other, horizontally or vertically (but may touch at a corner).

Then apply some (!) and discover its name! Answers which explain the deduction process are appreciated even more - thanks!

** NB After creating this puzzle, I realised that @Reinier has created something with similar inspiration before, but I believe our two puzzles are sufficiently different... Try to resist peeking at their puzzle before solving this one! :)

Other puzzles in the 'This new puzzle type needs a name' theme: 01, 02, 03, 04, 05

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1 Answer 1

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First, the Fillomino should be solved:

enter image description here

Then,

all of the blue shaded cells are numbers from 1-3. This can be solved as a Slitherlink:

enter image description here

And finally:

The letters the loop passes over (clockwise from the top left)...
enter image description here
...spell FILLERLINK.

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    $\begingroup$ Now that was a speedy solve! 44 minutes after posting?? (descending whistle...) Well done, and a checkmark for you! $\endgroup$
    – Stiv
    Commented Mar 5, 2020 at 0:26
  • $\begingroup$ I don't understand your step 2 $\endgroup$
    – Stephen R
    Commented Mar 5, 2020 at 22:26
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    $\begingroup$ @StephenR In the original puzzle, some cells are shaded blue. Those numbers only can be copied to a new grid, and then solved as a Slitherlink. $\endgroup$
    – Deusovi ♦
    Commented Mar 5, 2020 at 23:26

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