
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
I am preparing for a German exam that consists of 800 vocabulary words. The grading is based on the percentage of words that I answer correctly. For every correct answer, I earn a full point, and for each wrong answer, I lose 0.25 points. If my guesses yield no correct answers, what is the minimum number of words I should learn to ensure at least a $90\%$ score?

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