
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
Lucas and Emma are planning to meet at the midpoint of their locations. Lucas is at the point \((3, 12)\) and Emma is at the point \((7, 4)\). Determine the coordinate where they will meet.

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