Find an optimal parenthesization of the matrix-chain product p = < 2, 3, 7, 10, 4, 12> using the algorithm learned in class. what is the minimum number of scalar multiplications needed to compute the product? show the m and s tables and the printing of an optimal parenthesization.

These factors limit the ability to attach files to e-mail messages. location of sender recipient's ability to open file size of file type of operating system used

1. which of the following is not an example of an objective question? a. multiple choice. b. essay. c. true/false. d. matching 2. why is it important to recognize the key word in the essay question? a. it will provide the answer to the essay. b. it will show you a friend's answer. c. it will provide you time to look for the answer. d. it will guide you on which kind of answer is required.

This question involves a class named textfile that represents a text file. public class textfile { private string filename; private string filename; private arraylist words; // constructors not shown // postcondition: returns the number of bytes in this file public int filesize() { } // precondition: 0 < = index < words.size() // postcondition: removes numwords words from the words arraylist beginning at // index. public void deletewords(int index, int numwords) { } // precondition: 0 < = index < = words.size() // postcondition: adds elements from newwords array to words arraylist beginning // at index. pub lic voidaddwords(int index, string[] newwords) { } // other methods not shown } complete the filesize() method. the filesize() is computed in bytes. in a text file, each character in each word counts as one byte. in addition, there is a space in between each word in the words arraylist, and each of those spaces also counts as one byte. for example, suppose the words arraylist stores the following words: { mary had a little lamb; its fleece was white as snow. } the filesize() method would compute 4 + 3 + 1 + 6 + 5 + 4 + 6 + 3 + 5 + 2 + 5 as the sum of the lengths of each string in the arraylist. the value returned would be this sum plus 10, because there would also be 10 spaces in between the 11 words. complete the filesize() method below: // postcondition: returns the number of bytes in this file public int filesize() { }