
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

The number 197719771977 is represented as

$$
a_{0}+a_{1} \cdot 10^{1}+a_{2} \cdot 10^{2}+\ldots+a_{11} \cdot 10^{11}
$$

where \( a_{0}, a_{1}, \ldots, a_{11} \) are non-negative integers whose sum does not exceed 72. Find these numbers.

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