
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 tourist was returning from vacation by bicycle. On the first section of the route, which was 246 km, he traveled an average of 15 km less per day than on the last section of the route, which was 276 km. He arrived home exactly on the last day of his vacation. It is also known that it took him one more day than half the number of days left from that point until the end of the vacation to complete the first section. How many days before the end of his vacation did the tourist start his journey home?

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