
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
Sonia wants to write a positive five-digit integer whose digits are 1, 2, 3, 4, and 5 in some order. The first digit of the integer is to be divisible by 1, the first two digits are to form a two-digit integer divisible by 2, the first three digits are to form a three-digit integer divisible by 3, the first four digits are to form a four-digit integer divisible by 4, and the five-digit integer itself is to be divisible by 5. How many such five-digit integers could Sonia write?

A 10  
B 5  
C 2  
D 1  
E 0

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