
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 that there are nine platforms lined up and numbered from 0 to 8, and a frog can jump from a platform \( N \), \( 0 < N < 8 \), to \( N-1 \) with a probability \( \frac{N}{8} \) and to \( N+1 \) with a probability \( 1 - \frac{N}{8} \), find the probability that the frog reaches safety.

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