
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 \\(a\\) be a real number, and the function \\(f(x)=x^{2}-|x-a|+1\\), where \\(x∈R\\).
\\((\\)I\\()\\) When \\(a=0\\), find the maximum and minimum values of \\(f(x)\\) in the interval \\([0,2]\\).
\\((\\)II\\()\\) Find the minimum value of the function \\(f(x)\\).

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