
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
Frieda the frog is now hopping on a larger $4 \times 4$ grid, starting from one of the central positions. She hops in the same manner, moving one square in each hop and wrapping around if needed. She now makes up to six hops and stops hopping if she lands on any edge square. What is the probability that she reaches an edge square within six hops?
A) $\frac{35}{64}$
B) $\frac{45}{64}$
C) $\frac{199}{256}$
D) $\frac{211}{256}$

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