
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
Martu wants to build a set of cards with the following properties:

• Each card has a positive integer on it.
• The number on each card is equal to one of  $5$  possible numbers.
• If any two cards are taken and added together, it is always possible to find two other cards in the set such that the sum is the same.

Determine the fewest number of cards Martu's set can have and give an example for that number.

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