
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 a list of integers where each integer $n$ appears $n$ times for $1 \leq n \leq 150$. Specifically, the list starts as \[1, 2, 2, 3, 3, 3, \ldots, 150, 150, ..., 150.\] What is the median of these numbers?
A) $105$
B) $106$
C) $107$
D) $108$
E) $109$

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