
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 chip. You can swap any two adjacent chips for 1 ruble, and you can also swap any two chips for free if there are exactly three chips between them. What is the minimum number of rubles needed to reverse the order of the chips?

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