# Nowhere island

Algebra Level 2

The mathematicians in Nowhere island introduced a new operation. An islander told us that the operation's symol is $$\clubsuit$$. Furthermore he told us that for every $$x, y, z$$ numbers

• $$x\clubsuit x=0$$

• $$x\clubsuit(y\clubsuit z)=(x\clubsuit y)+z$$

Find the value of $$2017\clubsuit7$$.

Note: The $$\clubsuit$$ is assign $$x\clubsuit y$$ for every $$(x;y)$$ number pair.

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