
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 lampposts are placed at equal intervals and are numbered consecutively from 1 to 400. At the same time, Alla and Boris start walking towards each other from opposite ends of the alley at different constant speeds (Alla from the first lamppost and Boris from the four-hundredth lamppost). When Alla is at the 55th lamppost, Boris is at the 321st lamppost. At which lamppost will they meet? If the meeting occurs between two lampposts, specify the smaller of the two numbers.

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