
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
Starting at (0,0), an object moves in the coordinate plane with steps each of length one. Each step is either left (L), right (R), up (U), or down (D), all four equally likely. A new rule states that the object cannot take the same directional step more than once in a row. Determine the probability, $p$, that the object reaches (4,4) in exactly ten steps. Since $p$ can be written as $m/n$, where $m$ and $n$ are coprime positive integers, find $m+n$.

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