
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
The final result of the following problems is represented by a number:

1. How many different five-digit even numbers can be formed using the digits 0, 1, 2, 3, and 4?
2. How many different five-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 such that 2 and 3 are not adjacent?
3. How many different five-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 such that the digits 1, 2, and 3 must be arranged in descending order?

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