
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 functions $f(x)=x^{2}$ and $g(x)=(\frac{1}{2})^{x}-m$, where $x_{1},x_{2} \in [-1,1]$, if for any $x_{1}$, there exists an $x_{2}$ such that the equation $f(x_{1})=g(x_{2})$ holds true, then the range of values for the real number $m$ is _____.

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