
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 the conditions that the five red cards are numbered $1$ through $5$ and the four blue cards are numbered $3$ through $6$, and the colors alternate with each red card number dividing evenly into the number on each neighboring blue card, calculate the sum of the numbers on the middle three cards.

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