
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 points \( O \), \( A \), and \( B \) on a plane, and a point \( C \) on line \( AB \) satisfying \( 2\overrightarrow{AB}+\overrightarrow{CB} =0 \), find the expression for vector \( \overrightarrow{OC} \) in terms of vectors \( \overrightarrow{OA} \) and \( \overrightarrow{OB} \).

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