
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
1152 schoolchildren are participating in a tennis tournament. A player receives 1 point for a win and 0 points for a loss. Before each round, pairs are randomly formed from players with the same number of points (those who cannot be paired receive a point without playing). After the second loss, a player is eliminated from the tournament. The tournament continues as long as at least one pair of opponents can be formed. How many rounds will need to be held?

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