
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
Let \( r \) and \( s \) be positive real numbers that satisfy the equation
\[ (r+s-r s)(r+s+r s) = r s . \]

Find the minimum values of \( r+s-r s \) and \( r+s+r s \).

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