Lab 3 problems. COME PREPARED WITH WORKING PROGRAMS! Problem 1: Write a program to calculate the gross weekly wage for an hourly paid employee given the hourly rate and the number of hours worked per week. If an employee works more than 40 hours in a week, she is paid 1.5 times more per hour for each additional hour of work. Problem 2: Write a program to advise you what to wear if the outside temperature is known, as well as it is known if it is raining or not. Your program should be able to capture the following cases: -- if the outside temperature is less than 60 degrees and it is raining, then the program should advise you to wear a raincoat and get an umbrella; -- if it is not raining, but the temperature is below 60, then it should advise you to wear an overcoat; -- if the temperature is above 60, but below 70, it should advise you to wear a jacket, and if it is raining -- get an umbrella too; -- if the temperature is above 70 and it is raining, the program should advise you to get an umbrella; -- in all other cases, the program should tell you that there is nothing to worry about. Problem 3. Write a program that displays all numbers between 1 and 10. Problem 4. Write a program to output a table of conversion from US dollars to German marks. The table should contain the column heading with the first column saying "US dollars", and the second saying "German marks". Start with $10 and go to $100 with increments of $10. Assume 1 US = 1.67 GM. Problem 5. Write a program to print the Ulam sequence for an input integer. The next number in the sequence is defined as follows: if the current number is even, divide it by 2; if it is odd, multiply it by 3 and add 1. The last number in the Ulam sequence is 1. Format the output so that it contains no more than 10 numbers per line. Problem 6. Write a program in which the user is asked repeatedly to input integers from 1 to 5. The program should inform the user when she enters an integer that puts the sum of the input integers over 21. In addition to printing the message OVER 21, the program should print the sum and the last integer entered.