For this problem, see the files QuickFindUF. javaPreview the document (in the book) and QuickFindUF2.java (A more efficient version). In QuickFindUF2 we keep a circular linked list of the items in each component. When union needs to join two distinct components, we traverse the smaller list, setting the id of each item to the id of the larger component. We don't traverse the larger list. 3(a). A QuickFindUF of size N uses 4N O(1) bytes of memory, where O(1) is constant time complexity. In tilde notation, we would say it uses ~4N bytes. Using tilde notation, how many bytes of memory are used by a QuickFindUF2 of size N

What is the foundation for proper monitoring, load balancing and routing in distributed systems

We as humans write math expression in infix notation, e.g. 5 + 2 (the operators are written in-between the operands). in a computer’s language, however, it is preferred to have the operators on the right side of the operands, i.e. 5 2 +. for more complex expressions that include parenthesis and multiple operators, a compiler has to convert the expression into postfix first and then evaluate the resulting postfix.write a program that takes an “infix” expression as input, uses stacks to convert it into postfix expression, and finally evaluates it. it must support the following operations: + - / * ^ % (example infix expression: (7 - 3) / (2 + 2)postfix expression: 7 3 - 2 2 + /result: 1guidelines: 1. you will need to use stacks in three placesa. one for the parenthesis check [char stack]b. one during infix to postfix [char stack]c. one during evaluation [int stack]for a and b above, you can use same array and same push, pop method as both ofthem are char. but for evaluation you have int stack and you might consider to createanother push pop method to handle it. maybe push_int, pop_int, etc. or find otherstrategy to utilize existing push pop method2. you can create a function for obtaining operator priority. that function should take anoperator as input and return its priority as an integer. this function will you a lot andreduce repeated code3. during evaluation you will need to convert char into integer. example for single digit: char c = '5'; int x = c - '0';

Sally is editing her science report about living things. she needs to copy a paragraph from her original report. order the steps sally needs to do to copy the text to her new document.