Lab 2 (loop and selection) Problem 1. (Displaying pyramid) Write a program that prompts the user to enter an integer from 1 to 9 and display a pyramid, as shown in the following sample output: Enter the number of lines: 5 2 1 2 3 2 1 2 3 4 3 21 2 3 4 5 4 3 2 12345 Problem 2 (Displaying calendar) Write a program that prompts the user to enter the year and first day of the year and displays on the console the calendar table for the year. For example, if the user entered the year 2005, and 6 for Saturday, January 1, 2005, your program should display the calendar for each month in the year, as follows: January 2005 Sun Mon Tue Wed Thu Fri Sat 4. 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 December 2005 Sun Mon Tue Wed Thu Fri Sat 2 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 (Hint: the number of days in February for different year may be different, which depends on whether it is a leap year or plain year. A year is leap year if either (1) or (2) holds: (1) it is divisible by 400. (2) it is divisible by 4 but not divisible by 100