1. (Points: 30) Write a Java program (30=5(a)+5(b)+4(c)+5(d)+5(e)+6(f)) (e) Compare the first word to the last word extract in (d) to find which word is (a) (Prompt user to enter 3 int numbers, save these numbers in variable vx, vy. Vz. smaller; display the smaller word first, then display the greater word. (b) ( 5 points) Calculate average of these 3 numbers. Store result in a double variable vm. Display (f) Count the occurrence of lowercase letter ' a ' in strl. Display message vm. (c) (4 points) Define an int variable vn, assign vu to vn. Display vp. "\{number\} a are found in the string". (d) (4 points) Check if ve is divisible be 7 and 11. Display result. (e) (4 points) Check if vp is divisible be 3 or 7 but not both. Display result. (f) (6 points) Find the maximum and minimum of 3 numbers in yx,vy, and vz. Display these 2 numbers. 1. (Points: 6) Write a program to display a Christmas Tree, which looks as below: 2. (Points: 9=3(a)+6(b)) (a) Prompt user to enter a positive integer number, store this number in variable n (b) Calculate sum from 1 to n (that is sum =1+2+3++n ). Display sum. 3. (Points: 25) Prompt user to enter 100 integer numbers. Check and count those numbers which are in the range [1, 99]. Meanwhile, sum up all these numbers. After user has entered all numbers, display message: "The sum of all these numbers is \{value\}" "There are \{value\} numbers in the range [1,99] " The following is a sample output: "The sum of all these numbers is 5678 " "There are 47 numbers in the range [1,99] " 4. (Points: 30) Write a Java program: (30=4(a)+4(b)+4(c)+6(d)+6(e)+6(f)) (a) Define 2 String variables strl and str2, read 2 text messages from console and assign them to strl and str2. (b) Display the length of str1 and str 2 . (c) Display the first character in strl, and the last character in str2 (d) Extract the first word from strl, extract the last word from str2