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  1. Dynamic Programming

Travelling Salesperson

PreviousSelective State DpNextGraph

Last updated 3 years ago

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The Travelling Salesperson Problem is a classic DP problem.

The brute force solution is to enumerate all N! permutations of nodes.

To eliminate repetitive computations, we need to observe the fact that there is only one optimal answer (i.e. cost) for a subset of nodes, so we can memoize the optimal answer for subsets of nodes. In this way, instead of enumerating on all N! permutations, we just enumerate on all 2^N subsets.

Problems

1879. Minimum XOR Sum of Two Arrays (Hard)
943. Find the Shortest Superstring (Hard)