
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 moving from the origin on the coordinate plane and jumps along the $x$-axis. Each jump can be either in the positive or negative direction by one unit. After making 5 jumps, the particle ends up at the point $(3,0)$ (passes over this point are allowed). Determine the total number of distinct ways the particle can move.

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