
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 the frog jumps from pad $N$, where $0 < N < 14$, with probability $\frac{N}{14}$ to pad $N-1$ and with probability $1 - \frac{N}{14}$ to pad $N+1$, find the probability that the frog will escape either by reaching pad $14$ or by jumping into the river at pad $7$.

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