
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
The traffic flow \\(y\\) (in ten thousand vehicles per hour) and the average speed of vehicles \\(v\\) (in kilometers per hour) on a certain highway at a certain moment have the functional relationship \\(y=\dfrac{92v}{{v}^{2}+3v+1600}\ (v > 0)\\).

Ⅰ. During this period, what should be the average speed \\(v\\) of vehicles to maximize the traffic flow \\(y\\)?

Ⅱ. To ensure that the traffic flow is at least \\(1\\) ten thousand vehicles per hour during this period, what range should the average speed of vehicles be controlled within?

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