
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
Repeatedly toss a fair die, and record the number on the face-up side after each toss. The tossing stops when three different numbers have been recorded. Determine the total number of different recording results when the tossing stops exactly after five tosses.

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