
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 9 translators, among which 6 can only translate English, 2 can only translate Korean, and 1 can translate both English and Korean. Determine the number of different ways to assign 5 translators to 5 different foreign tourist groups, with two groups requiring Korean translation and the other three requiring English translation.

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