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Let f(n) denotes the square of the sum o...

Let f(n) denotes the square of the sum of the digits of natural number n, where `f^(2)(n)` denotes `f(f(n)),f^(3)(n)` denotes f(f(f(n))) and so on. Then, the value of
`(f^(2017)(2011)-f^(2016)(2011))/(f^(2017)(2011)-f^(2018)(2011))`, is

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