Hint #1:

This maze is very difficult if one tries to solve it using only trial and error. However, with a little bit of mathematics, the maze becomes much easier. Because of this special property of the maze, I will not give you the solution immediately. Rather, I will give you one hint at a time. Try to solve the maze using the fewest number of hints.

Let us label the 9 positions in the square as follows:

A  B  C
D  E  F
G  H  I

The point B is a crucial point. If you are at B, which way can you go? If x is the value in the square B, you cannot go left to A unless x+1 is a multiple of 3. The reason is that, after multiplying by 2 and adding 5, you will be at an odd number, so you will not be able to go right to E. Rather, you must go down to G, which involves dividing by 3. This will only be possible if we started with a number that was 1 less than a multiple of 3.

If x+1 is a multiple of 3 at B, we will be able to get to G by going through A and D. But you will have an odd number at G, so you will be forced to go to H, adding 8. Since the number will still be odd, going to I will be impossible, so you will be forced to go to E, adding 8 again. Once again the number will be odd, so you will be forced to go back to B.

After doing some algebra, you will find that if we started at B with a value of x, then going to the left will force you back to B with the value of (2x+80)/3.

Can you find a similar result for going to the right from the point B? This is the key to understanding how the maze is solved.

Back to the maze.

Still need another hint? Click here.