olymmath

ILL 1988 Problem 25

    Find the total number of different integers the function

    f(x)=[x]+[2⋅x]+[5⋅x3]+[3⋅x]+[4⋅x]f(x) = \left[x \right] + \left[2 \cdot x \right] + \left[\frac{5 \cdot x}{3} \right] + \left[3 \cdot x \right] + \left[4 \cdot x \right]

    takes for 0≤x≤100.0 \leq x \leq 100.

    Dataset text AI-MO AoPS. Quoted with source.

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