
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
Suppose Lisa has an infinite number of balls and empty boxes which can now each hold up to six balls. These boxes are lined up in a row from left to right. Starting with an empty row at the first step, Lisa places a ball in the leftmost box that still has room for a ball and empties any boxes to its left. Calculate the total number of balls in the boxes as a result of Lisa's $1729$th step.

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