
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
Given in the Cartesian coordinate system xOy, O(0, 0), A(1,-2), B(1,1), C(2,-1), and a moving point M(x,y) satisfies the condition $-2 \leq x \leq 2$, calculate the maximum value of $\vec{OM} \cdot \vec{OC}$.

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