
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 following list of numbers, the integer \( n \) appears \( n \) times in the list for \( 1 \leq n \leq 250 \):\[1, 2, 2, 3, 3, 3, 4, 4, 4, 4, \ldots, 250, 250, \ldots , 250\]What is the median of the numbers in this list?
A) 175
B) 176
C) 177
D) 178
E) 179

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