
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 chess tournament, there were more than 9 but fewer than 25 participants, consisting of grandmasters and masters. At the end of the tournament, it was found that each participant scored half of their points against grandmasters. How many people participated in the tournament? How many of them were masters?

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