
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 $a, b,$ and $c$ be positive real numbers and let $k, m, n$ be positive constants. Find the minimum value of:
\[
\frac{ka + mb}{c} + \frac{ma + nc}{b} + \frac{nb + kc}{a}.
\]

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