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hello and welcome to this tutorial on how to solve the Traveling Salesman problem with dynamic programming today we're going to look at two things first is how to find the cost of the best tour and then how to actually find that tour all right so let's get started what is the Traveling Salesman problem in a nutshell it's when you're given a list of cities and the distances between each pair of cities and you want to find the shortest possible route that visits each city exactly once and then it returns to the city of origin in some other words we can say that the problem is given a complete graph with weighted edges what is the Hamiltonian cycle of minimum cost a Hamiltonian cycle is simply a path which visits each node exactly once in practice you will probably want to represent whatever graph you have as an adjacency matrix for simplicity if an edge between two nodes does not exist simply set the edges value to be positive infinity so in the graph I ha

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