Today’s Hidato puzzle has a pretty complex twist. What is the twist, you ask?

This is what the twist is:

There are three different colors:

• Yellow: Represents a prime number
• Green: Represents a square number ($\sqrt x$ must produce a number $\alpha$ with $\alpha\in\mathbb N$)
• Purple: Represents a number in the Fibonacci Sequence if that number is not already represented with another color.

Also, there are only 6 numbers to begin with.

Here is the puzzle:

The goal of Hidato is to fill the grid with a series of consecutive numbers adjacent to each other orthogonally or diagonally. All tiles are required to be filled in.

I have tested this out, and am able to confirm that this truly does have only one unique solution. (took me around 5 minutes)

Text version for colorblind users (best I could do, if someone could make this better then please do unless this is good enough):

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|1  |Y  |   |Y  |12 |   |
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|   |G  |Y  |G  |Y  |   |
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|Y  |Y  |P  |Y  |G  |Y  |
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|   |   |G  |   |18 |   |
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|   |Y  |G36|35 |Y  |P  |
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|Y  |30 |   |   |   |   |
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