
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given Frieda the frog starts in the bottom-left corner of a $4 \times 4$ grid and she makes at most five hops to the up, down, left, or right, with the possibility of wrapping around to the opposite edge, calculate the probability that Frieda reaches any square in the top row within five hops.

Present the answer in LaTex format: \boxed{Your answer}
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