This function uses a curious mix of iteration and recursion: function F(n) if n < 1 t<- O return 1 for i <- 0 to n for j <- i to n t<- t + j return t + F(n-1) The number of basic operations (additions and subtractions) performed is: ○ Ⓒ (n) ℗ (n²) Ⓒ (n² log n) Ⓒ (n³) Ꮎ Ⓒ (n4)

This function uses a curious mix of iteration and recursion: function F(n) if n < 1 t<- O return 1 for i <- 0 to n for j <- i to n t<- t + j return t + F(n-1) The number of basic operations (additions and subtractions) performed is: ○ Ⓒ (n) ℗ (n²) Ⓒ (n² log n) Ⓒ (n³) Ꮎ Ⓒ (n4)

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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Part 3: Factorial function In computer science, and other fields, we frequently need to know how many possible combinations are possible given a specific number of numbers or characters. For example, consider three color cards: red (R), green (G), and blue (B). How many different orders are possible of these three cards? RGB, RBG, GRB, GBR, BRG, BGR = six (6) possible combinations The mathematical term for this calculation is factorial (see Factorial Function !Links to an external site. web page) and is expressed using the exclamation point (!). Surprisingly, the JavaScript Math object does not have a function for factorial, so we will write our own. So how do we calculate factorial? The steps to accomplish a task are known as an algorithm. An algorithm is a series of steps that given the same input will always produce the same output. Often, many possible algorithms exist to accomplish the same task. To calculate the factorial of a specific number, we need to multiply every number…
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