
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
Harry and Sandy decide to meet at a point in Hogwarts that is influenced by their coordinates and a magic point. Harry is standing at \((10, -3)\), and Sandy is standing at \((2, 7)\). They want to meet at a point which is two-thirds of the way from Harry to Sandy. At what coordinate will they meet?

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