
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
If \(p\), \(q\), \(r\), and \(M\) are positive numbers with \(q < 100\) and \(r < 100\), determine the condition on \(p\), \(q\), and \(r\) such that the number obtained by first increasing \(M\) by \(p\%\) and then sequentially decreasing it by \(q\%\) and \(r\%\) still exceeds \(M\).

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