
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]


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In a local volleyball league, there are 5 teams, with each team consisting of 8 players. Each team hosts one tournament in rotation. At each tournament, the host team selects four of its members to be on the organizing committee, while each of the other four teams selects one member to join the committee. Calculate the total number of distinct tournament committees that can be formed over one complete rotation of hosts.

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