
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 round-robin chess tournament is organized in two groups with different numbers of players. Group A consists of 6 players, and Group B consists of 5 players. Each player in each group plays every other player in the same group exactly once. How many total matches will be held during this tournament?

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