
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
In a conference for a video game competition, there are 10 professional players from three different teams expected to participate. Four players are from Team Alpha, four players are from Team Beta, and two are from Team Gamma. In a promotional photo session, the players from the same team need to stick together in a line. How many ways can the 10 players be arranged for the photo?

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