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Hands-On Data Structures and Algorithms with JavaScript by Kashyap Mukkamala

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Implementing branch and bound algorithm

So far, we have discussed how we can construct the state space tree step by step for each of the elements that are available, but that is not necessary, we only need to add the nodes selectively based on our bounds and the maximum cost that has been set.

So, what does that mean for us in implementation? We will take nodes one by one, consider what would happen if we include it or if we do not, and then add it to the queue for further processing if it falls under the conditions (bounds) that are set by us (maximum overall cost and the maximum upper bound of each branch).

Since we already have a list of items with us, we will first do some transformations to make the rest of the algorithm simpler:

const ...

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