You are given two boxes: one box filled with mason jars of different sizes, and another box filled with corresponding screw top lids. You can test whether a given jar and lid are a match, from which1 you learn whether the jar is too large, too small, or an exact match for the lid. The differences insize between pairs of jars or lids are too small to see by eye, so you cannot compare the sizes oftwo jars or two lids directly. You are to match each jar to each lid, with the assumption that notwo jars or two lids are of the same size, and that every jar in one box has a corresponding lid inthe other box. Give a randomized O(nlogn) expected time algorithm for this problem.

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';

What side length would you specify if you were required to create a regular hexagonal plate that was composed of 33 cm(squared) of sheet metal? dimension the side length to 0.1 cm

The computers in the sales department did not have enough data storage capacity to contain all the information the department needed to store, and it was taking a long time for team members to access the data they needed. to fix the problem, the technician installed new, larger hard drives on all the computers.