
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 $\triangle ABC$, point $O$ is the midpoint of $BC$. A line passing through point $O$ intersects line segments $AB$ and $AC$ at different points $M$ and $N$, respectively. If $\overrightarrow{AB} = m \overrightarrow{AM}$ and $\overrightarrow{AC} = n \overrightarrow{AN}$, find the value of $m + n$.

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