
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 a Cartesian coordinate system, given points A(-3,0), B(0,3), C(3,0), O(0,0), $\overrightarrow{OQ}=m\overrightarrow{OA}+(1-m)\overrightarrow{OB}$ (m∈R), $|\overrightarrow{CD}|=1$, determine the minimum value of $|\overrightarrow{OQ}-\overrightarrow{OD}|$.

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