
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  $M$  consists of integers, the smallest of which is  $1$  and the greatest  $100$ . Each member of  $M$ , except  $1$ , is the sum of two (possibly identical) numbers in  $M$ . Of all such sets, find one with the smallest possible number of elements.

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