
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 particle starts from the origin and must move to the right, left, up, or down by one unit at the end of each second. How many different ways are there for the particle to arrive at point P(4, 2) at the end of the 8th second?

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