
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
Let $a_n$ be the sequence formed by arranging all the numbers in the set $\{2^t+2^s|0\leq s<t, s, t\in \mathbb{Z}\}$ in ascending order, that is, $a_1=3$, $a_2=5$, $a_3=6$, $a_4=9$, $a_5=10$, $a_6=12$, ..., then $a_{10}=$ ___.

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