
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
Determine the number of ways of walking from (0,0) to (5,5) using only up and right unit steps such that the path does not pass through any of the following points: (1,1), (1,4), (4,1), (4,4).

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