CS 151 Homework 3 Problem 1: Design and implement an application that produces a multiplication table showing the results of multiplying the integers 1 through 12 by themselves. Problem 2: Create a modified version of the PolidromeTester program from the textbook so that the spaces and punctuations are not considered when determining whether a string is a polidrome. Think carefully about your design -- a detailed pseudocode will really help. Problem 3: Mexico's population is 62 million and is growing at the annual rate of 7%. The United States' current population is 280 million and is growing at the annual rate of 2%. If these two countries were to maintain their current rates of growth, in how many years will Mexico's population be more than half that of the United States? Your program should answer this question.