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Puzzle - Colored Statues

This puzzle actually had me stumped for a while, but once you know how to go
about it, it's easy to solve. The main thing you need to know (and the thing I
didn't know for a while) is that you can talk to the statues with the Mind Read
psynergy. Each statue will provide a hint of where to place them in relation to
the other statues. Here are the clues provided:

Yellow statue: Violet shines southeast of me.
Violet statue: Red shines northwest of me.
Red statue: Violet shines southeast of me.
Green statue: Yellow shines northeast of me.
Light blue statue: Red shines due west of me.

The statues each go on one of those squares in the middle of the room. This is
a fairly simple logic puzzle. If you can't figure it out, here's the
explanation:

Violet is southeast of yellow and red, according to the clues. The only way
this is possible is if it's in the southeast corner. This means that either
yellow or red is in the middle. Since the red statue has to be due west of the
light blue one, it must be on one of the outer squares (the northwest one),
leaving yellow for the middle. The only space left is green, so the statues are
configured as follows:

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