
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
In the list of numbers where the integer $n$ appears $n$ times for every integer $1 \leq n \leq 150$,
\[1, 2, 2, 3, 3, 3, 4, 4, 4, 4, \ldots, 150, 150, \ldots, 150\]
determine the median of the numbers in this list.
A) 104
B) 105
C) 106
D) 107
E) 108

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