
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 beaver walks from \((0,0)\) to \((4,4)\) in the plane, walking one unit in the positive \(x\) direction or one unit in the positive \(y\) direction at each step. Moreover, he never goes to a point \((x, y)\) with \(y > x\). How many different paths can he walk?

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