
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
There are five people named Dafu, Bugeng, Zanqiao, Shangzao, and Gongshe, who together hunted 500 pounds of deer. They wish to divide the deer among themselves according to their ranks in descending order with equal differences. If the total weight of the deer is 500 pounds, then the total weight of the deer meat shared by Bugeng, Zanqiao, and Shangzao is what fraction of the total weight of the deer?

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