
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
If both sequences \\(\{a_n\}\) and \\(\{b_n\}\) have \\(m\) terms, then the distance between sequences \\(\{a_n\}\) and \\(\{b_n\}\) is defined as \\(\sum\limits_{i=1}^{m}{|a_i-b_i|}\).

\\((1)\\) Calculate the distance between the sequences \\(1\), \\(3\), \\(5\), \\(6\\) and \\(2\), \\(3\), \\(10\), \\(7\\).

\\((2)\\) Let \\(A\\) be the set of all sequences \\(\{a_n\}\) that satisfy the recursive relation \\(a_{n+1}=\frac{1+a_n}{1-a_n}\).

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