
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 $xOy$, points $O(0, 0)$, $A(1,-2)$, $B(1,1)$, $C(2,-1)$. A moving point $M(x,y)$ satisfies the condition $-2\leq x \leq 2$, $-2\leq y \leq 2$. The maximum value of $\vec{OM}\cdot\vec{OC}$ is

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