
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
78. \(\overline{a b c d}\) is a four-digit number, and its reverse number is \(\overline{d c b a}\). If \(2 \overline{a b c d} = 9 \overline{d c b a}\), find all \(\overline{a b c d}\) that satisfy this condition.

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