
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
Along a straight alley, 400 lamp posts are evenly spaced and numbered sequentially from 1 to 400. At the same time, Alla and Boris start walking from opposite ends of the alley towards each other at different constant speeds. Alla starts from the first lamp post and Boris starts from the four-hundredth lamp post. When Alla reaches the 55th lamp post, Boris is at the 321st lamp post. At which lamp post will they meet? If their meeting point is between two lamp posts, indicate the smaller number of the two.

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