
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
Mady has an infinite number of balls and empty boxes available to her. Each empty box can now hold eight balls, and the boxes are again arranged in a row from left to right. At the first step, she places a ball into the first box of the row. At each subsequent step, she places a ball in the first box of the row that still has room for a ball and empties any boxes to its left. Determine the total number of balls in the boxes as a result of Mady's $2500$th step, given that each box now corresponds to a digit in nonary (base 9) representation.

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