
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
The frog starts at the point (2, 3) on a grid and makes jumps of length 1 unit parallel to the coordinate axes. Each jump direction (up, down, right, or left) is chosen independently at random. Find the probability that the frog's sequence of jumps ends on a vertical side of the rectangle defined by the points (0,0), (0,5), (5,5), and (5,0).

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