
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]


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Vova covered the distance of 300 meters from school to home by taking 400 steps, with the length of each step being no more than \(a\) cm, and the sum of the lengths of any two steps being more than the length of any other step. What values can \(a\) take under these conditions?

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