
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
Light passes through a piece of glass, losing \\(1\%\\) of its intensity. If several such pieces of glass are stacked together, and the original intensity of the light is \\(a\\), find the intensity \\(y\\) of the light after passing through \\(x\\) pieces of glass.

\\((1)\\) Write the function relationship of \\(y\\) with respect to \\(x\\);

\\((2)\\) After passing through how many pieces of glass will the intensity of the light be reduced to less than \\(\dfrac{1}{3}\\) of its original intensity? \\((\lg 3 \approx 0.4771)\\)

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