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What two colors are missing, options are black, blue, red, white, and purple. The two missing colors can be different or the same.

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  • $\begingroup$ Does this perhaps need the knowledge tag? I think it may involve some well-known game. $\endgroup$ – gnovice Jan 8 '18 at 19:02
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1 is

PURPLE

2 is

WHITE

Reason:

The board starts out as a chess board with black and white tiles diagonally. Some of these are replaced with blue or red or both which is purple. The distance between red and blue tiles is the same backwards and forwards. There is enough information to reverse the pattern and confirm whether or not those tiles should be blue/red. They both correspond on the first blank, but neither do on the second. Therefore, the second one must have been left white.

Edit to address Joe's question

Going from left to right in each row, the distance is the number of squares between each occurrence. The blues have one pattern and the reds have a separate pattern.

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  • 1
    $\begingroup$ What do you mean when you say "the distance between red and blue tiles is the same"? $\endgroup$ – user43851 Jan 8 '18 at 19:26
  • $\begingroup$ Yeah, I don't understand the logic on the colouration of tiles either... $\endgroup$ – Chris Jan 8 '18 at 23:57
  • $\begingroup$ @Joe Is my answer wrong? $\endgroup$ – StevenWhite Jan 9 '18 at 16:35
  • $\begingroup$ No, but I was having trouble following your logic! And the pattern appears to change from line to line. $\endgroup$ – user43851 Jan 9 '18 at 20:49
  • $\begingroup$ Oh. Yeah, you have to use the entire pattern for each color. BTW I really enjoyed this one so thanks for posting. $\endgroup$ – StevenWhite Jan 9 '18 at 21:24

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