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The two routes x$ and $y$ connect city 6 with cities 2 and 3: in total there are $2(n-3)$ routes connecting cities 4 to $n$ to cities 2 and 3. Together, routes $x,y, p_1, p_2, p_5$ and $p_n$ form a tale of four cities.

Clare (like gare) is a Chalkdust editor. In her spare time, she’s an assistant professor at Durham University. She likes Skittles, probability, and making the magazine look more like Cosmo.

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