
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
Let \\(f(x)\\) be a periodic function defined on \\(\mathbb{R}\\) with the smallest positive period of \\(2\\), and \\(f(1+x)=f(1-x)\\). When \\(-1 \leqslant x \leqslant 0\\), \\(f(x)=-x\\). 

\\((1)\\) Determine the parity of \\(f(x)\\);

\\((2)\\) Try to find the expression of the function \\(f(x)\\) in the interval \\([-1,2]\\).

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