
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
Given a regular pentagon ABCDE with a perimeter of 2000 meters, two people, A and B, start from points A and C respectively, walking in the direction A→B→C→D→E→A→… around the square. The speed of A is 50 meters per minute, and the speed of B is 46 meters per minute. After how many minutes will A and B start walking on the same side for the first time?

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