
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
There are 18 visitor tickets to be distributed among four classes A, B, C, and D. Class A must receive at least 1 ticket but no more than 5 tickets. Class B must receive at least 1 ticket but no more than 6 tickets. Class C must receive at least 2 tickets but no more than 7 tickets. Class D must receive at least 4 tickets but no more than 10 tickets. How many different distribution methods are there?

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