
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 vectors $\overrightarrow {a} = (1, -2)$, $\overrightarrow {b} = (2, m-1)$, and $\overrightarrow {c} = (4, n)$. If $\overrightarrow {a} \parallel \overrightarrow {b}$ and $\overrightarrow {b} \perp \overrightarrow {c}$, find the value of $m + n$.

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