
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
If \\(f(x)\\) is an odd function defined on \\(R\\) and satisfies \\(f(x+1)=f(x-1)\\), and when \\(x \in (0,1)\\), \\(f(x)=2^{x}-2\\), then the value of \\(f(\log_{\frac{1}{2}}24)\\) is \_\_\_\_\_\_.

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