The salesman problem, also known as the traveling salesman problem, is a classic problem in graph theory and optimization. It seeks to find the shortest possible route that visits each of a set of locations exactly once and returns to the original location.
One common approach to solving the salesman problem is to use a technique called dynamic programming. Here is an example implementation of the salesman problem using dynamic programming in C#:
main.cs1208 chars45 lines
In this implementation, distances
is a two-dimensional array that represents the distances between each pair of locations. The tsp
method uses dynamic programming to recursively calculate the shortest route that visits all locations, given a current location and a bitmask that indicates which locations have already been visited. The result is stored in a memo
array to avoid duplicate calculations.
The main method initializes the memo
array and calls tsp
to find the shortest route that visits all locations, starting and ending at the first location. The output is the length of the shortest route.
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