Create a class called Sample that supports the following two operations and has a constructor that accepts an array p[] of double values as an input. Change(i, v) changes the value of p[i] to v and random() returns an index i with a probability of p[i]/T (where T is the total of the numbers in p[]). Use a full binary tree with assumed weights of p[i] at each node. The total weight of all the nodes in a subtree should be stored in each node. Choose a random integer between 0 and T to create a random index, and then use the cumulative weights to decide which branch of the subtree to investigate. Change each node's weight along the route from the root to i when updating p[i]. Don't use direct pointers, as we do for heaps.

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
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Create a class called Sample that supports the following two operations and has a constructor that accepts an array p[] of double values as an input. Change(i, v) changes the value of p[i] to v and random() returns an index i with a probability of p[i]/T (where T is the total of the numbers in p[]). Use a full binary tree with assumed weights of p[i] at each node. The total weight of all the nodes in a subtree should be stored in each node. Choose a random integer between 0 and T to create a random index, and then use the cumulative weights to decide which branch of the subtree to investigate. Change each node's weight along the route from the root to i when updating p[i]. Don't use direct pointers, as we do for heaps.

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