
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, and each box has the capacity to hold up to six balls. The boxes, organized in a row from left to right, start empty. At the first step, she puts one ball into the first box. At every subsequent step, she places a ball in the first box that can still accommodate at least one more ball and empties any boxes to its left. How many balls are in total in the boxes as a result of Mady's $2010$th action?

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