# Treasure of the fancy island

The colored rectangle below is the map of a fancy island. There is a treasure hidden there, but instead of the usual X on the map to depict the location of the treasure you have the following clues instead:

1. The square of the treasure does not have a yellow neighbor.

2. The square of the treasure and its symmetric about the center of the rectangle have different colors.

3. The square of the treasure has a neighbor with the same color as itself.

4. The square of the treasure is unique in its column.

(A neighbor square is one that is adjacent horizontally, vertically or diagonally.)

I attach the image using numbers for the colorblind (yellow is 4).

Find the square of the treasure!

• Yes, it does, @BeastlyGerbil, as it is mentioned. Commented Feb 27, 2017 at 7:46
• Can you clarify no. 2? I don't understand what you mean Commented Feb 27, 2017 at 7:51
• @BeastlyGerbil most likely metafysica.nl/turing/symm_center.jpg Commented Feb 27, 2017 at 8:00
• @BeastlyGerbil Exactly. For example the green in the first column and the bottom light blue of the last column are symmetric about the center of the rectangle. Commented Feb 27, 2017 at 8:11
• @Alexandros9 ah ok thanks I see now Commented Feb 27, 2017 at 8:16

one with black cross

1. does not have a yellow neighbor
2. symmetric is green one
3. it has neighbor with the same color
4. and it is unique in column
My strategy: Elimination (obviously?)

• I think the "neighbor" thing designate squares directly to the bottom, left, top or right, not in the top-left, top-right, bottom-left or bottom-right. But instead of having to do it over, you can just deduce from your previous work that the treasure would be in one of the squares in a corner of a yellow square. Commented Feb 27, 2017 at 10:47
• @DorianFusco: From the question: "A neighbor square is one that is adjacent horizontally, vertically or diagonally." Commented Feb 27, 2017 at 10:49
• Oh, my bad, I didn't read the paranthesis ! In the meantime, I looked at the diagonal neighbors of the yellow squares and the question would have no answers otherwise ^^' Commented Feb 27, 2017 at 10:52
• Thanks for the solution Jan Ivan. Just a comment: There are many ways to start the elimination. It seems that starting with either clue 1 or clue 4 is the fastest. Commented Feb 27, 2017 at 20:01