Introduction to Computation and Programming Using Python: With Application to Understanding Data (MIT Press) by John V. Guttag

Author:John V. Guttag
Language: eng
Format: mobi, azw3, epub
ISBN: 9780262529624
Publisher: The MIT Press
Published: 2016-08-07T16:00:00+00:00

A rooted binary tree is an acyclic directed graph in which

There is exactly one node with no parents. This is called the root.

Each non-root node has exactly one parent.

Each node has at most two children. A childless node is called a leaf.

Each node in the search tree for the 0/1 knapsack problem is labeled with a quadruple that denotes a partial solution to the knapsack problem. The elements of the quadruple are:

A set of items to be taken,

The list of items for which a decision has not been made,

The total value of the items in the set of items to be taken (this is merely an optimization, since the value could be computed from the set), and

The remaining space in the knapsack. (Again, this is an optimization, since it is merely the difference between the weight allowed and the weight of all the items taken so far.)

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