
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 a sequence \\(\{a_n\}\) where each term is positive and satisfies \\(a_1=1\\), \\(a_{n+2}=1+ \dfrac {1}{a_n}(n\in\mathbb{N}^*)\\), if \\(a_{2014}=a_{2016}\\), then \\(a_{13}+a_{2016}=\\) \_\_\_\_\_\_.

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