
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 \( A \) be a set of integers where the smallest element is 1 and the largest element is 100. Each element, except 1, is equal to the sum of two elements from \( A \) (it can be twice the same element). Find the minimum number of elements in set \( A \).

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