
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 via a sequence of steps, each of length one. Each step is either left, right, up, or down, with all four directions being equally likely. Let $p$ be the probability that the object reaches $(3,1)$ in five or fewer steps. Determine $p$ in the form $m/n$, where $m$ and $n$ are relatively prime positive integers, and find $m+n$.

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