
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
Consider the sequence formed by listing the numbers $1, 2, 3, \ldots, 1500$, followed by their squares, and then their cubes: 
\[1, 2, 3, \ldots, 1500, 1^2, 2^2, 3^2, \ldots, 1500^2, 1^3, 2^3, 3^3, \ldots, 1500^3.\]
What is the median of this sequence of $4500$ numbers?
A) $1125001.5$
B) $1125000.5$
C) $1124999.5$
D) $2250000$

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