
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
Given the proposition $$p: \frac {1}{2} \leq x \leq 1$$, and the proposition $$q: x^2 - (2a+1)x + a(a+1) \leq 0$$, if the negation of \(p\) is a necessary but not sufficient condition for the negation of \(q\), then the range of the real number \(a\) is \_\_\_\_\_\_.

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