
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
A space station consists of 25 chambers, and each pair of chambers is connected by a tunnel. There are a total of 50 main tunnels that can be used in both directions; the rest are one-way tunnels. A group of four chambers is called "connected" if you can travel from any of these chambers to any other using only the six tunnels that connect these chambers to each other. Determine the largest possible number of connected groups of four.

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