
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
A taxi service charges 12 yuan for the first 3 kilometers (including 3 kilometers), 2.6 yuan per kilometer from 3 to 7 kilometers (including 7 kilometers), and 3.5 yuan per kilometer for distances greater than 7 kilometers. Yueyue needs to travel 30 kilometers and has 3 options:

Option 1: Use the first taxi for 15 kilometers, then switch to another taxi for the remaining 15 kilometers.
Option 2: Switch taxis every 10 kilometers.
Option 3: Switch taxis at non-fixed distances, but each segment must be greater than 3 kilometers.

Which option is the most cost-effective? Explain your reasoning.

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