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time complexity T(n)

time complexity T(n)

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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[Problem 4] Consider a tree X in which each node has at most 4 descendants, called A node, B node, C node and D node. There are n nodes in such a tree. Each node in tree X holds an integer value k > 1, which we can access with node.value method. Let T(n) denote the time complexity of the following algorithm, which takes tree X as its input. H(X.root) if (X.root NIL) then return else H(X.root. A) H(X.root.B) c = c 3*X.root.value H(X.root.C) H(X.root.D) // assume c is some global variable, initially set to 0. Determine the asymptotic bound of the time complexity T(n) for the algorithm H and formally prove its correctness to receive points.
Transcribed Image Text:[Problem 4] Consider a tree X in which each node has at most 4 descendants, called A node, B node, C node and D node. There are n nodes in such a tree. Each node in tree X holds an integer value k > 1, which we can access with node.value method. Let T(n) denote the time complexity of the following algorithm, which takes tree X as its input. H(X.root) if (X.root NIL) then return else H(X.root. A) H(X.root.B) c = c 3*X.root.value H(X.root.C) H(X.root.D) // assume c is some global variable, initially set to 0. Determine the asymptotic bound of the time complexity T(n) for the algorithm H and formally prove its correctness to receive points.
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