
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
At Pinehurst Academy, there is a five-square league with twelve players, including Amy and Bob. Each break, the twelve players split into two five-square games, each with six players. Throughout the year, each possible matchup of six players occurs exactly once. Additionally, two players, Chris and Dave, are always in the same game. How many times did Amy play in the same game as Bob?

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