
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
Form numbers without repeating digits using the digits 1, 2, 3, 4, 5:  
(1) How many five-digit odd numbers can be formed without the digit 3 in the ten-thousands place?  
(2) How many positive integers greater than 21345 can be formed?

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