
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 a test, the teacher gave five problems and awarded a grade equal to the number of problems solved. All students, except Peter, solved the same number of problems, while Peter solved one more. Nine people solved the first problem, seven people solved the second problem, five people solved the third problem, three people solved the fourth problem, and one person solved the fifth problem. How many grades of four and five were received on the test?

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