
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
In the ancient Chinese mathematical masterpiece "Zhang Qiu Jian Suan Jing," it is recorded: "Now there are ten people of different ranks, with the highest-ranking official, Jia, among ten officials receiving gold as a gift, decreasing by rank. The top three people enter first and receive 4 jin of gold to carry out; the next four people enter later and receive 3 jin of gold to carry out; the three people in the middle who have not arrived yet will also receive gold according to their ranks. Determine the total amount of gold received by the three people who have not arrived.

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