
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
In \\(\Delta ABC\\), the sides opposite to angles \\(A, B, C\\) are \\(a, b, c\\) respectively, and it satisfies \\((2b-c)\cos A-a\cos C=0\\).

\\((\\)I\\()\\) Find the size of angle \\(A\\);

\\((\\)II\\()\\) If \\(a=2\\) and the area of \\(\Delta ABC\\) is \\(\sqrt{3}\\), find the values of \\(b\\) and \\(c\\);

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