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If composite function f1(f2(f3((fn(x))))...

If composite function `f_1(f_2(f_3((f_n(x))))n` timesis an increasing function and if `r` of `f_i ' s` are decreasing function while rest are increasing, then the maximum value of `r(n-r)` is `(n^2-1)/4` , when `n` is an even number `(n^2)/4,` when `n` is an odd number `(n^2-1)/4,` when `n` is an odd number `(n^2)/4,` when `n` is an even number

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