
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
Given that \( p \), \( q \), and \( M \) are all positive numbers and \( q < 100 \), determine the condition on \( p \) that ensures increasing \( M \) by \( p \% \) and then decreasing the result by \( q \% \) is greater than \( M \).

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