
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 that \(\frac{\mathrm{Q}}{\sqrt{\mathrm{Q}}+\sqrt{2 \mathrm{Q}}}+\frac{\mathrm{Q}}{\sqrt{2 \mathrm{Q}}+\sqrt{3 \mathrm{Q}}}+\cdots+\frac{\mathrm{Q}}{\sqrt{1998 \mathrm{Q}}+\sqrt{1999 \mathrm{Q}}}=\frac{\mathrm{R}}{\sqrt{\mathrm{Q}}+\sqrt{1999 \mathrm{Q}}}\), find the value of \(R\).

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