
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 the vectors $\overrightarrow{O A}=\{3,1\}$ and $\overrightarrow{O B}=\{-1,2\}$, where the vector $\overrightarrow{O C}$ is perpendicular to $\overrightarrow{O B}$ and $\overrightarrow{B C}$ is parallel to $\overrightarrow{O A}$, and given that $\overrightarrow{O D}+\overrightarrow{O A}=\overrightarrow{O C}$, find $\overrightarrow{O D}$.

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