
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
"九章算术" (The Nine Chapters on the Mathematical Art) is an ancient Chinese mathematical text. In the chapter "均输" (Equal Distributions), there is a problem stated as follows: "Now there are five people sharing five coins, making the amount received by the first two equal to that received by the last three. How much does each person get?" This means, given that A, B, C, D, and E are five people sharing 5 coins, the amount received by A and B is the same as that received by C, D, and E, and the amounts received by A, B, C, D, and E form an arithmetic sequence. How much does each person get? (Note: "钱" was an ancient unit of weight.) In this problem, the amount received by A is $\boxed{\frac{4}{3}}$ coins.

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