
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
Mark and Sandy decide to meet at a new cafe which is located at a different place from the midpoint of their current positions. Mark is standing at $(1,8)$, and Sandy is standing at $(-5,0)$. However, the cafe is not at the midpoint; it is instead located 2 times closer to Mark than Sandy. Where is the cafe located?

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