
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
In a lottery, the following numbers were drawn in one week: $\overline{A B}, \overline{B C}, \overline{C A}, \overline{C B}, \overline{C D}$ (where $A, B, C, D$ are digits, and the numbers are arranged in ascending order). The sum of these five numbers is $\overline{B C C}$. The product of the third number and the second number is $\overline{B B E C}$, and the product of the third number and the fifth number is $\overline{E C C D}$. Determine the digits.

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