
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
Three players play the following game. There are three cards, each with a different positive integer. In each round, the cards are randomly dealt to the players, and each receives the number of counters on his card. After two or more rounds, one player has received 20 counters, another 10 counters, and the third 9 counters. In the last round, the player with 10 counters received the largest number of counters. Who received the middle number on the first round?

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