
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
Three cards have numbers on both sides as follows: 1 and 2, 3 and 4, 5 and 6. If these three cards are placed side by side to form different three-digit numbers (with the rule that 6 cannot be used as 9), calculate the total number of different three-digit numbers that can be formed.

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