# Have Chocolate, Will Travel

Algebra Level 3

A traveler visits each point $$(x,y)$$ with integer coordinates where $$0\leq x,y \leq 4$$ (each blue dot in the picture). At each of these points $$(x, y)$$, the traveler eats $\frac {1}{2\max\{x,y\} + 1}$

chocolate bar(s). How many chocolate bars will the traveler eat in all?

Notation. $$\max\{x,y\}$$ represents the largest value in the set $$\{x,y\}$$.

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