Thursday 9 June 2016

The Logic Game Parks, & the Beauty of Uncertainty that Benefits

Alright, I want to make this as short as possible because I don't have much time, & you probably don't want to be reading forever. Basically, there's this great logic game (Mobile App) called "Parks Seasons" that I highly suggest you install. It revolves around how you must place one tree in every column, row, and park without trees being adjacent (Even diagonally) to others (See below). It is such a beautiful game because if you take the time while playing to think about strategies, you come across situations where you don't know the exact position of trees, but it helps regardless. I just thought, this is too perfect to not share. Here's an example...

A screenshot of Lv. 47
Just a disclaimer, this will give away the answer to Lv. 47. Regardless, we know that we can't place a tree on the top gray square because that will take away every beige square, this means that we definitely have a tree on the bottom gray squares that takes up the horizontal line (HL) that's 3 squares up from the bottom. Now we can only place trees in green that are on the HL that's 2 from the bottom, but wait, either arrangement of a tree being on the remaining gray squares will take away the two rightmost green squares. In fact, we can't have a tree on the left bottom gray square because that will eliminate all the green squares, so a tree must be on the bottom right gray square & consequently on the bottom left green square. We just placed two correct trees just by knowing how they influence their surroundings. (See 1.1)

1.1
Now we have this. But we can know more for certain... Now we have to place a tree on the bottom left purple square because the others are taken up. We have to also place a tree on the top middle beige square because the sides are eliminated. (See 1.2)

1.2

Now things get a bit more complex.

We can't place a tree on the left most blue square because that would eliminate the rest of the possibilities to put a tree on the navy region. Since the yellow region doesn't have a square in the second vertical line (VL) from the left & we just eliminated the only blue square in that line, the tree in that line has to go in the navy region. The only square remaining in that line is the very top second from the left.

Now it's very simple. The only remaining blue square gets filled in, then the yellow.

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