
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
Given positive real numbers \( x \) and \( y \) (\( x > y \)) satisfying \( x y = 490 \) and \( (\lg x - \lg 7)(\lg y - \lg 7) = -\frac{143}{4} \), determine the number of digits in the integer part of \( x \) in decimal representation.

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