
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 $p$: The real number $x$ satisfies: $x^{2}-4ax+3a^{2} < 0$, where $a > 0$, and the proposition $q$: The real number $x$ satisfies: $x=( \frac {1}{2})^{m-1}$, where $m\in(1,2)$.
1. If $a= \frac {1}{4}$, and $p\land q$ is true, find the range of values for the real number $x$.
2. Find the range of values for the real number $a$ such that $\lnot p$ is a necessary but not sufficient condition for $\lnot q$.

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