
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 student named Xiao Cong took a taxi from place A to place B on a Sunday and paid a total fare of 35 yuan. The initial fare for taxis in this city is set at 5 yuan (covering the first 2 kilometers), and for every additional kilometer, the fare increases by 2 yuan (distances less than 1 kilometer are rounded up to 1 kilometer). If Xiao Cong walked 800 meters from place A towards place B before taking the taxi, the fare would still amount to 35 yuan. How much would Xiao Cong have to pay for a taxi from the midpoint between places A and B to place B?

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