
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
There are  $33!$  empty boxes labeled from  $1$  to  $33!$ . In every move, we find the empty box with the smallest label, then we transfer  $1$  ball from every box with a smaller label and we add an additional  $1$  ball to that box. Find the smallest labeled non-empty box and the number of the balls in it after  $33!$  moves.

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