
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 the set $\{a, b, c, d\}$ is equal to $\{1, 2, 3, 4\}$, and among the following four relations: ① $a=1$; ② $b \neq 1$; ③ $c=2$; ④ $d \neq 4$, exactly one is correct, then $1000a+100b+10c+d=$ \_\_\_\_\_\_ (write one combination that satisfies the condition).

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