
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 \( A(-2, 4) \), \( B(3, -1) \), and \( C(-3, -4) \), with \(\overrightarrow{C M} = 3 \overrightarrow{C A}\) and \(\overrightarrow{C N} = 2 \overrightarrow{C B}\), find the coordinates of points \( M \) and \( N \), and the vector \(\overrightarrow{M N}\).

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