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Slitherlink (taken from Nikoli)

  • Connect adjacent dots with vertical or horizontal lines to make a single loop.
  • The numbers indicate how many lines surround it, while empty cells may be surrounded by any number of lines.
  • The loop never crosses itself and never branches off.

KPK is an on-going local puzzle competition, authored by me.

  • $\begingroup$ By on-going I mean not this particular puzzle but the overall competitions. The sub-contest including this puzzle has already been over, so feel free to answer~ $\endgroup$ – athin Sep 1 '19 at 5:46

The answer:


The solution (KPK already solved by Omega Krypton but imma add my thought process here still):

Let's solve KPK first. Corners can be deduced.
slither2 If we assume that blue lines are correct, then it would lead to contradictions (green lines). slither3 Therefore it will lead to this: slither4 Extending the blue lines vertically would lead to another pair of contradictions (green lines): slither5 So it instead becomes this E-like shape: slither6 Closing off top and extending green line leads to contradiction (pink line): slither7 And so it is solved: slither8 Now the 123. We can deduce the 3's: slither9 Now I admit that I underwent a long period of trial and error for this one. Eventually I realized that a horizontal line of symmetry of the loop cannot exist, and so I reconfigured everything and the answer at the top is what I arrived at.

  • 1
    $\begingroup$ Correct, well done! :D $\endgroup$ – athin Sep 1 '19 at 23:22

Finished the KPK one, answer here

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