
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
If: (1) \( a, b, c, d \) are elements of the set \(\{1, 2, 3, 4\}\); (2) \( a \neq b, b \neq c, c \neq d, d \neq a\); (3) \( a \) is the smallest among \( a, b, c, d \). Then, the number of different four-digit numbers \(\overline{abcd}\) that can be formed is $\qquad$.

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