# Tumbleweed

Calculus Level 4

Let S be the set of real numbers $$c \in (0,1]$$ with the property: $$\forall$$ continuous functions $$f : [0,1] \to \mathbb{R}$$ with $$f(0) = f(1)$$ exists a $$x \in [0,1]$$ , so that also $$x+c \in [0,1]$$ and $$f(x) = f(x+c)$$

Let $$a$$ bet the sum of all elements $$z$$ in $$S$$ with $$z \ge \frac{1}{10}$$

The answer to type in is: $$2520 * a$$

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