Radio Astronomy Systems Research Group

You have 8 cards: two Aces, two Kings, two Queens, and two Jacks. You need to place then on a table in the following arrangement:

     X
 X X X
   X X X
     X

In addition, you need to follow these five rules:
1: Each Ace must be adjacent to a King
2: Each King must be adjacent to a Queen
3: Each Queen must be adjacent to a Jack
4: Queens cannot be adjacent to an Ace
5: Two of the same card cannot be adjacent to each other

For this problem, adjacent means horizontally or vertically next to each other. ¹⁾

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Find your way through this maze. Enter from the bottom left, and exit from the bottom right. There are two restrictions: you must pass through the circles in alternating order (empty, filled, empty filled etc) and you must pass through any circle you touch.²⁾

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The Earth completes one revolution around the Sun in about 365.25 days. An alien sits on Pluto with a very powerful telescope and watches the Earth. From the alien's point of view, how many rotations does the Earth make in one revolution around the sun? ³⁾

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