
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
Jo adds up all the positive integers from 1 to 200. Lila does the same with the first 200 positive integers; however, she first rounds every integer to its nearest multiple of 25 (rounding 12.5s up) before adding them. What is the positive difference between Jo's sum and Lila's sum?

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