
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 that there are ten ranks of people and the palace gives gold to each rank in descending order of difference, and the first three people receive 4 pounds of gold while the last three people receive 3 pounds of gold, determine the amount of gold received by the fifth and sixth ranked people in the middle level.

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