
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
In each cell of a strip of length 100, there is a token. You can swap any two adjacent tokens for 1 ruble, and you can also swap any two tokens that have exactly three tokens between them for free. What is the minimum amount of rubles required to rearrange the tokens in reverse order?

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