# Quick Slitherlink Puzzles: KPK and 123

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.

• 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~ – athin Sep 1 '19 at 5:46

## 2 Answers

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.
If we assume that blue lines are correct, then it would lead to contradictions (green lines). Therefore it will lead to this: Extending the blue lines vertically would lead to another pair of contradictions (green lines): So it instead becomes this E-like shape: Closing off top and extending green line leads to contradiction (pink line): And so it is solved: Now the 123. We can deduce the 3's: 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.

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

Finished the KPK one, answer here