Puzzle 281 (Nurikabe) [Pairs]

This is a Nurikabe puzzle, with a twist. Every region of unfilled cells must contain exactly two numbers (instead of one) and have total size equal to the sum of the two numbers.

Puzzle 281

Puzzle 281

(Click for larger size)

More revisiting of variations that deserved more love than just being used once. The first of these I posted was a fairly popular puzzle, and it baffled me because I didn’t think it had done anything special. This puzzle shows the kind of potential I had foreseen for the variation, which that first puzzle did not reach.


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8 Responses to “Puzzle 281 (Nurikabe) [Pairs]”

  1. David Says:

    Niiice. This is definitely a variation that deserved to be done again.

  2. mathgrant Says:

    Holy crap, this one was hard. Progress was very, very gradual — but very worthwhile.

  3. TheSubro Says:

    Great puzzle.

    Due to the fact that combination options are available in this variation, I guess the only constraints that can compel solutions are:
    – proper spacing (either not too much or too little between numbers)
    – necessary black cell connection paths
    – standard avoidance of the 2×2 in the process
    Most of the constraints here were dictated by the second factor.

    It was enjoyable considering the various combos as it progressed. Lots of learning here.

    I agree with Mathgrant’s comments, although slow and steady enjoyment of a puzzle’s progress is my lot (and my happiness) in life.

    Thanks MellowMelon. This was pure fun.


  4. Thomas Snyder Says:

    Very smooth solve with a nice resolution at the end. Obviously a hard Nurikabe variation to construct but an interesting idea for puzzles such as this one.

  5. Tom.C Says:

    This puzzle became noticeably easier when I worked out that eleven and two did indeed make thirteen. The first half of the puzzle flowed logically enough I thought, the latter half was whole lot more intuitive here.

    Another tough nut – thanks!


    • MellowMelon Says:

      I can understand why the latter half might seem easier by intuition, but assuming our thought processes were similar, a little consideration of black cell connectivity can easily make those intuitions rigorous. Some of the white cell areas need a lot of space.

    • Ours brun Says:

      Let’s borrow some words to Tom C : This puzzle became noticeably easier when I worked out that two and six don’t ever make nine…
      The first half was indeed very smooth to solve; the end, pretty surprising.

      An interesting variation, well deserved by a great puzzle.


  6. anurag Says:

    Honestly,the only part that got me stuck was constructing the (2+6) island in the middle.Once that was done(i was delighted),there was nothing left to be done.This was fun.

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