Show that there are at most dn/2 h+1e nodes of height h in any n-element heap.
(b) for a min heap with n elements, what are the possible array subscript locations for the third smallest value in the heap? assume the array index begins at 1, and that all values are distinct. justify your answer.
(c) a d-ary heap is similar to a binary heap, except that nodes have d children instead of two children. justify your answers to the questions below.
i. what is the height of the tree representing a d-ary heap with n elements?
ii. what is the time taken for an insert operation in a d-ary heap? how does it compare with that for a binary heap?
iii. what is the time taken for a delete-max operation in a d-ary heap?

Data is processed, stored, and transmitted as a series of 1s and 0s. each 1 or 0 is called a(n) . a series of eight 0s and 1s, called a(n) , represents one character—a letter, number, or punctuation mark. data becomes when it is presented in a format that people can understand and use. digital signals are represented by two different , such as +5 volts and +.2 volts. digital data can also take the form of light and dark spots etched onto the surface of a cd or the positive and negative orientation of particles on the surface of a hard disk. data consists of numbers that might be used in arithmetic operations. it can be represented digitally using the number system. data is composed of letters, symbols, and numerals that are not used in arithmetic operations. computers represent this type of data using , ebcdic, unicode, or utf-8. data is quantified using terms such as or kibibyte (1024 bytes), and prefixes such as or mebi (1,048,576), and giga or (1,073,741,824). to reduce file size and transmission times, digital data can be compressed. compression provides the means to compress data and reconstitute it into its original state. compression throws away some of the original data during the compression process. compressed files usually have at the end of the file name and are represented with special icons. these files have to be or unzipped before you can view the data they contain.

Selling a product through an electronic medium is

If you're using an existing powerpoint presentation that will receive new slides based on a word outline, select the a. slide that will appear after the new slides. b. first slide in the presentation. c. slide that will appear before the new slides. d. last slide in the presentation.