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How fast do you want your code to be? seconds? hundreds of milliseconds?
A response on the web feels fast if it takes less then 500 milliseconds. So let's pick half a second.
Usually people feel something on the web is fast if it takes less then half a second to execute. So let's say half a second.
How big is the graph? Do you want to solve the problem for a city, a coutry or even a continent?
How big is your graph? Do you want to solve the problem for a city, a coutry or even a continent?
Each is about a magnitude larger than the other and will be solved by different approaches. Let's say we want to solve the problem for the whole of Europe.
Each is about a magnitude larger than the other and may mean you need different approaches. Let's say we want to solve it for the whole of Europe.
Here are sizes for a few input sets:
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