
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
The set \(A\) consists of integers, its smallest element is 1, and its largest element is 100. Each element of \(A\), except for 1, is equal to the sum of two (possibly equal) numbers belonging to \(A\). Specify, among all sets \(A\) that satisfy these conditions, the set with the minimum number of elements.

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