
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
Louis has an infinite number of marbles and empty baskets. Each basket can hold up to five marbles and is arranged from left to right in an infinite row. Initially, Louis places one marble in the leftmost basket. For each subsequent step, he places a marble in the leftmost basket that can still accept a marble then empties any basket to its left. Compute the total number of marbles in the baskets as a result of Louis's $2000^{th}$ move.

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