
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
From the set \\(\{1, 2, 3…,11\}\\), select any two elements to be \\(m\\) and \\(n\\) in the ellipse equation \\(\dfrac{x^2}{m^2}+\dfrac{y^2}{n^2}=1\\). Then, the number of ellipses that can be formed and fall within the rectangular area \\(B=\{(x, y)| |x| < 11\) and \\(|y| < 9 \}\) is \_\_\_\_\_\_\_\_\_

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