
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
Let \( x \) be a number with 1978 digits and \( y \) be a number obtained by rearranging the digits of \( x \). Can the equation

\[ x + y = \underset{1978 \ \text{digits}}{99 \cdots 9} \]

hold? If 1978 is changed to 1977, does the answer change?

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