
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
N is the set of positive integers. M is the set of non-negative integers. f: N → M is a function such that f(10) = 0, f(n) = 0 if the last digit of n is 3, and f(mn) = f(m) + f(n). Find f(1984) and f(1985).

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