Let $$\([x]\)$$ represent the greatest integer $$\(\leq x\)$$. Thus, $$\([3.2]=3\)$$. A machine takes an input $$\(x\)$$, produces the output $$\(x[x]\)$$, and uses this output as the new input. If the first input is $$\(x_{0}\)$$, the first output is called $$\(x_{1}\)$$, and $$\(x_{1}\)$$ is used as the second input, etc. If $$\(x_{0}=2.65\)$$, what is the value of $$\(x_{3}\)$$ ?

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