
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
A frog initially positioned at the point (2,2) on a 5x5 grid, bounded by (0,0), (0,5), (5,5), and (5,0), begins a sequence of jumps. Each jump can be towards any of the four main compass directions (up, down, right, or left) by one unit distance. However, the cell at (3,3) is blocked and cannot be landed on or crossed. Each direction is chosen independently at random. The jumping sequence stops when the frog reaches any side of the grid. Determine the probability that the sequence ends on a vertical side of the grid.

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