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For the real number x, let f (x)=(1)/( "...

For the real number x, let `f (x)=(1)/( ""^(2011sqrt(1-x^(2011)))).` Find the number of real roots of the equation
`f(f (.....(f(x)).....)= ({-x}`
where f is applies 2013 times and {.} denotes fractional part function.

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