
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
How many ways are there for Nick to travel from  $(0,0)$  to  $(16,16)$  in the coordinate plane by moving one unit in the positive  $x$  or  $y$  direction at a time, such that Nick changes direction an odd number of times?

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