NJIT decides to introduce its own coinage with three different types of coins: 1 cent, 5 cent, and 8 cents. We would like to know what is the minimum number of coins we can use if we pay for an item worth n cents. Give an efficient algorithm that if given n as input, it prints as output the minimum set of coins that has value exactly n. Analyze the time and space requirements of your algorithm. Prove its correctness. For example, you can pay an item worth 40 cents by giving five 8-cent coins; other alternatives is eight 5-cent coints, or forty 1-cent coins, or say four 8-cent, one 5-cent and three 1-centcoins.

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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.

This is not a factor that you should use to determine the content of your presentation. your audience your goals your purpose your technology