
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 $a$, $b$, $c$ be three distinct real numbers. Then the number of all sets $A$ satisfying the condition $\{a,b\}\cup A=\{a,b,c\}$ is ______.

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