
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
We can use the recursive formula of the sequence $\{a_n\}$, $a_n=\begin{cases}n, & \text{when } n \text{ is odd} \\ a_{\frac{n}{2}}, & \text{when } n \text{ is even}\end{cases} (n\in\mathbb{N}^{+})$, to find the values of the terms in this sequence, so that each term in the sequence is an odd number. Then, the value of $a_{64}+a_{65}=$ \_\_\_\_\_\_.

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