
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 sequence defined by a<sub>n</sub> with a<sub>1</sub>=1 and a<sub>n</sub>=$\left\{\begin{array}{l}{2{a}_{n-1}-1, n is even}\\{2{a}_{n-1}+2, n is odd}\end{array}\right.$, calculate the minimum number of moves required to solve 5 rings.

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