
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
A set of four prime numbers uses each of the nine nonzero digits exactly once. Furthermore, the primes must contain one prime that begins with the digit ‘3’ and another which is a single digit prime. What is the smallest possible sum such a set could have?
A) 420
B) 447
C) 449
D) 480

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