Sunday, 20 December 2015

enigmatic puzzle - (1 of 11: Numberlink) What is Pyramid Cult's Favorite Activity?


Dear PSE users and moderators,
I’m new here in PSE, but I really need your help. There was this person who gave me a black envelope consisting 10+1 pages of puzzles, and also a scribble saying: “Find our favorites and you will be accepted to join our ‘pyramid cult’. Feel free to ask for help from your beloved friends on PSE. They will surely guide you into all the truth.” I’m also a newbie on grid puzzles, so, could you please give me any hint to solve these? It’s getting harder and harder later on..
- athin



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Numberlink



Rules:



  1. Connect pairs of the same numbers with a continuous line.

  2. Lines go through the center of the cells, moving in perpendicular direction with one of the cell sides, or changing direction, and never twice through the same cell.

  3. Lines cannot cross, branch off, or go through the cells with numbers.






Special thanks to chaotic_iak for testing this puzzle series!



Answer



Completed numberlink



enter image description here



Their favourite activity




is spelt by the unvisited cells, which spell SURFING.



Reasoning



First of all, both the 6 and the 7 need to pass through to the lower part of the board. There are only two spaces they can use to get there.

enter image description here

The 7 cannot use the left-hand side without blocking the 6 entirely. Even going around the 6 doesn't help as there is no room for the 6 to pass.

enter image description here

So the 6 must pass through the left and the 7 through the right.

enter image description here

There is only one way to get to the 3 now, so fill that in.

enter image description here

The 1 must go around the 7 in the corner in order to not block access to it.

enter image description here
The most direct line toward the 7 blocks none of the remaining free cells, so we can fill that in without blocking any of the other lines.

enter image description here

There is only one way to get to the 4 without blocking the 1.

enter image description here

Only one way to get to the 1 now.

enter image description here

The 2 cannot block the 6 in the corner, so it must go around it.

enter image description here

Only one way to get to the 5.

enter image description here

The most direct line to the 6 is the only way to keep a line open for the 2.

enter image description here

One line left to fill, and only one way to do it.



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