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.
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.
Finished the KPK one, answer here
