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- You have a card on which the letter J is written on one side and K on the other. You want to seeall of the possible ways the card will land if you drop it n times. Write a recursive method thatprints each session of dropping the cards with J's and K's. For example if you drop it 4 times in agiven session, all possible ways to drop it are as follows (in exactly the specified order): J J J JJ J J KJ J K JJ J K KJ K J JJ K J KJ K K JJ K K KK J J JK J J KK J K JK J K KK K J JK K J KK K K JK K K KYou have a card on which the letter J is written on one side and K on the other. You want to seeall of the possible ways the card will land if you drop it n times. Write a recursive method thatprints each session of dropping the cards with J's and K's. For example if you drop it 4 times in agiven session, all possible ways to drop it are as follows (in exactly the specified order): (java code)Write in Java - Make sure the -3 is in the output Write a recursive method called printNumPattern() to output the following number pattern. Given a positive integer as input (Ex: 12), subtract another positive integer (Ex: 3) continually until a negative value is reached, and then continually add the second integer until the first integer is again reached. For this lab, do not end output with a newline.
- Implement the following method. There is no need to enforce the preconditions; you may assume startNumber <= endNumber. /*** Sums all numbers between startNumber and endNumber that* are not divisible by 5. This includes startNumber and/or* endNumber if either (or both) are divisible by 5.** @precondition startNumber >= 0 && endNumber >= startNumber* @postcondition none** @param startNumber the first number to check* @param endNumber the last number to check* @return the sum of all numbers, between startNumber and* and endNumber, inclusive, that are not divisible by 5*/public int sumNonMultiplesOfFive(int startNumber, int endNumber)Given the following recursive method: public static int think(int x) { if(x<10) if(x%2!=0) return x; else return 0; else if(x%2!=0) return x%10 + think(x/10); else return think(x/10); } Trace (in details) the calling of the above method with any input from your choice such that the returned value will be 193. Write a Java program to implement a method which prints the Fibonacci series up to nth term. The value of n will be taken from the user in the main() method.Fibonacci series starts with 0 and 1, and the sum of previous two numbers is the next number of the series. For instance, 0, 1, 1 (0 + 1), 2 (1 + 1), 3 (1 + 2), and so on.Sample output [assuming the number of term (n) is 8]:The Fibonacci series: 0 1 1 2 3 5 8 13
- Given the following recursive method:public static int think(int x) {if(x<10)if(x%2!=0)return x;elsereturn 0;elseif(x%2!=0)return x%10 + think(x/10);elsereturn think(x/10);}Trace (in details) the calling of the above method with any input from your choice such that thereturned value will be 19You have a card on which the letter J is written on one side and K on the other. You want to see all of the possible ways the card will land if you drop it n times. Write a recursive method that prints each session of dropping the cardswith J's and K's in java?can you help me complete the method huffmantoText and texttoHuffman public static void huffmanToText(){ //ToDo: convert text to huffman code } public static void textToHuffman(){ //ToDo: convert huffman code to its text equivalent }Instruction:Input a text that will be converted to Huffman code.- Output an error message if the text cannot be converted (e.g. using character/sin the input text that is/are not part of the table Huffman codes). Input a Huffman code that will be converted to its text equivalent.- Output an error message if the input cannot be converted.
- A method is implemented to compute a formula that involves dividing a quantity by a variable y. If y is 0, then an ArithmeticException will be thrown. How should you handle this situation? Here are some alternatives: 1. Ignore the problem and let your method throw an ArithmeticException. 2.Test for y==0 before doing the computation and, if found, print an error message and return 0. 3.Surround the computation with a try/catch block and print an error message in the catch block before returning 0. a. Compare these three alternatives. That means talk about how each is the same as or different than the other two. b. Is there a fourth alternative that is better than these three? If there is, give it along with a justification. If there is not, explain why not.What is the “stopping” case for each (what causes the methods to “end”)? How do you guarantee that the methods will “stop” (infinite loop, infinite recursion)? Which method one is “better”? Why? public static int factorialValue(int n) {int ans = 1;for (int i=1; i <=n;i++) {ans = ans *i;}return ans;} public static int recursiveValue(int n) {if (n == 0) {return 1;}else {return n*factorialValue(n-1);}}WRITE A JAVA PROGRAM Methods can be used to define reusable code and organize and simplify code. Problem:- Suppose that you need to find the sum of integers from 5 to 15, from 16 to 30, and from 31 to 39, respectively. Define a public static sum method that take two int parameters -> (int start, int end) In the method, use for loop to add all the number from start to end. Later, invoke the sum inside the main method. Do the sum for each a) 5 to 15; b) 16 to 30; and c) 31 to 39 separately and later print the results. Output: Sum from 5 to 15 is 110 Sum from 16 to 30 is 345 Sum from 31 to 39 is 315