
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 a meeting between four countries of the UN, say $A, B, C,$ and $D$, country $A$ has twice as many representatives as $B$, three times as many as $C$, and four times as many as $D$. The goal is to distribute the representatives into tables with the same number of people at each table. There is only one condition: at each table, any given country must be outnumbered by the representatives from the other three countries combined. What is the minimum number of representatives per table?

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