
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
Customers of the online store "Ali-express" live in four houses located at the vertices of a convex quadrilateral. Residents of the first house placed one order, residents of the second house placed two orders, the residents of the third house placed three orders, and the residents of the fourth house placed six orders. The store manager is considering where to deliver all the orders so that the total distance traveled by all customers to receive their goods is minimized. Help him solve this problem and justify the result.

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