
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
Find the number of sets  $A$  that satisfy the three conditions: $\star$   $A$  is a set of two positive integers $\star$  each of the numbers in  $A$  is at least  $22$  percent the size of the other number $\star$   $A$  contains the number  $30.$ 

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