
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
An organization has 40 employees, 25 of whom have a brand X computer while the other 15 have a brand Y computer. Each computer can only have a maximum of three cable connections to ensure network stability and management. The computers can only be connected to each other and exclusively by cables, which can only connect a brand X computer to a brand Y computer. Employees can communicate with each other if their computers are directly connected by a cable or by relaying messages through a series of connected computers. Initially, no computer is connected in any fashion. A technician selects one computer from each brand and installs a cable between them, provided there isn't already a cable between that pair, and the maximum connection limit of three per computer isn't reached. The technician stops when every employee can communicate with each other. What is the maximum possible number of cables used?
A) 40
B) 42
C) 45
D) 47
E) 50

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