
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 function $f(x)=\left\{\begin{array}{l}{\sqrt{x}-t, x\geq 0}\\{2(x+1)-t, x<0}\end{array}\right.$, if $f(x)$ has two zeros $x_{1}$ and $x_{2}(x_{1} > x_{2})$, then the minimum value of $x_{1}-x_{2}$ is ______.

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