
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
Karolína wrote all three-digit numbers composed of the digits 1, 2, and 3, where no digit repeats, and 2 was in the tens place. Nikola wrote all three-digit numbers composed of the digits 4, 5, and 6, where no digit repeats. Kuba selected one number from Karolína and one number from Nikola such that the sum of these two numbers was even.

What was the digit in the units place of the product of the numbers selected by Kuba? Determine all possibilities.

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