
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
How many three-digit numbers, in which digits can be repeated, can be formed using the numbers 1, 2, 3, 4, 5, and 6, such that exactly two different even digits are present among the three positions (for example: 124, 224, 464, etc.)?

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