
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
Larry now likes numbers that both end in two digits divisible by 4 and have a sum of digits divisible by 3. How many different pairs of two-digit endings are possible for numbers Larry likes, assuming all numbers are less than 1000?

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