
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
A bridge is to be built in a certain location, with the piers at both ends already constructed. These two piers are \\(m\\) meters apart, and the remaining work involves constructing the bridge deck and piers between them. It is estimated that the cost of constructing a single pier is 2.56 million yuan, and the cost of constructing the bridge deck between two adjacent piers, which are \\(x\\) meters apart, is \\((2+ \sqrt{x})x\\) million yuan. Assuming the piers are evenly distributed, all piers are considered as points, and other factors are disregarded, let the cost of the remaining work be \\(y\\) million yuan.  
(Ⅰ) Try to write the function relationship of \\(y\\) with respect to \\(x\\);  
(Ⅱ) When \\(m=640\\) meters, how many new piers need to be built to minimize \\(y\\)?

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