
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
Let \\(a \in \mathbb{R}\\), and the function \\(f(x) = |x^2 + ax|\\).

(Ⅰ) If \\(f(x)\\) is monotonically increasing on \\([0,1]\\), find the range of values for \\(a\\).

(Ⅱ) Let \\(M(a)\\) be the maximum value of \\(f(x)\\) on \\([0,1]\\), find the minimum value of \\(M(a)\\).

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