
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
In 1970, there were 600,000 cases of measles reported in the U.S. By 2000, the cases had reduced to 200 due to vaccination efforts. Assuming the decrease in measles cases was linear from 1970 to 1985 and then halved in its rate of decrease from 1985 to 2000, how many cases of measles would have been reported in 1990?

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