
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 the general term formula of the sequence {a<sub>n</sub>} is $$a_{n}=2^{n-1}$$, and the general term formula of the sequence {b<sub>n</sub>} is b<sub>n</sub>\=3n-1. Set A={a<sub>1</sub>, a<sub>2</sub>, …, a<sub>n</sub>}, B={b<sub>1</sub>, b<sub>2</sub>, …, b<sub>n</sub>}, n∈N*. The sequence formed by arranging the elements of set A∪B in ascending order is denoted as {c<sub>n</sub>}. The sum of the first 45 terms of the sequence {c<sub>n</sub>} is S<sub>45</sub>\=\_\_\_\_\_\_.

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