The following statements are True or False. Write the correct answer as True or False on your sheet. You must write the full word: if you write T or F, you will not receive any credit. No explanation required. All log are log,. i. The asymptotic runtime of Mergesort does not change if, instead of generating 2 subproblems each of size n/2, we generate and solve recursively 3 subproblems each of size n/3. ii. nº1 = 2((log n)1º)
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- Task 4: The first problem that you solve recursively is to implement enoughGate() to check if the dogMaze has at least two gates (one for the entrance and one for the exit). This problem must be solved recursively, however there is no limitation on what type of recursion (i.e., direct or indirect recursion) you use . As a reminder, a direct recursion refers to the function that calls itself to solve the given problem. However, by indirect recursion, more than one function involves in solving the problem. It is possible that a non-recursive function solves a small part of the problem and then calls the recursive function to finish the job. /** * This method returns true if the number of * gates in dogMaze >= 2. * @return it returns true, if enough gate exists (at least 2), otherwise false. */ publicboolean enoughGate (){ // insert your code here. Change the return value to fit your purpose. return true; }PLZ help with the following: In Java Write a program using recursion to display all valid (i.e. properly open and closed) combinations of n-pairs of parentheses.Write a recursive method called printReverse. The method shall take an array of char and will print the content in reverse order in the same line. The method shall use public and private method.
- Complete Through this method /** * Count the number of occurrences of substrings "baba" or "mama" * in the input string recursively. They may overlap. * For example, countBabaMama("aba babaa amama ma") → 2, * and countBabaMama("bababamamama") → 4. * @param input is the input string. * @return the number of occurrences. */public static int countBabaMama(String input) { // base case // recursive step }Needs to be coded in JAVA. 01 - Recursive Combinations Compute the combinations of n things taken k at a time using both iterative and recursive methods. Both methods should use only int types for mathematical operations. If the iterative method continues to mock you, that is ok, the recursive method should not. You should modify the attached code for your submission. Reference: https://en.wikipedia.org/wiki/Combination public class Combination { private static boolean useFact; /** * Computes some combinations. * * @param args unused */ public static void main(String[] args) { for (int i = 0; i < 2; i++) { useFact = (i % 2 == 0); System.out.println(useFact ? "FACTORIAL METHOD" : "RECURSIVE METHOD"); System.out.println(); combination(2, 2); combination(3, 2); combination(4, 3); combination(10, 2); combination(52, 5); combination(60, 4); combination(75, 3); combination(100, 4); System.out.println(); }…Complete this code:Do not use any loops within your code.Do not use any regular expressions and methods such as matches, split, replaceAll./** * Count the number of occurrences of substrings "baba" or "mama" * in the input string recursively. They may overlap. * For example, countBabaMama("aba babaa amama ma") → 2, * and countBabaMama("bababamamama") → 4. * @param input is the input string. * @return the number of occurrences. */public static int countBabaMama(String input) { // base case // recursive step}
- Java - Write a method that uses a loop to figure out the factorial (n!). The method will take an integer n and return the value of n! (return answer, don’t print) Take the method above and convert it to a recursive method.9. Ackermann's Function Ackermann's function is a recursive mathematical algorithm that can be used to test how well a computer performs recursion. Write a method ackermann (m, n), which solves Ackermann's function. Use the following logic in your method: If m = 0 then return n + 1 If n = 0 then return ackermann (m Otherwise, return ackermann(m 1, 1) 1, ackermann (m, n - 1))CodeW For fun X C Solved https://codeworkou... 臺亂 CodeWorkout X272: Recursion Programming Exercise: Is Reverse For function isReverse, write the two missing base case conditions. Given two strings, this function returns true if the two strings are identical, but are in reverse order. Otherwise it returns false. For example, if the inputs are "tac" and "cat", then the function should return true. Examples: isReverse("tac", "cat") -> true Your Answer: 1 public boolean isReverse(String s1, String s2) { 2. if > 3. 4. else if > return true; return false; 5. 6. else { String s1first = String s2last return s1first.equals (s2last) && 51. substring(0, 1); s2, substring(s2.length() 1); 7. 8. 6. isReverse(s1.substring(1), s2.substring(0, s2.length() 1)); { 12} 1:11AM 50°F Clear 12/4/2021
- It is suspected that out of a set of 64 50p coins one of the coins is fake (i.e., lighter in weight than a genuine coin). With one weighing scale. (i)Give a detailed explanation on how you would go about determining the fake coin. (ii)What is the minimum number of times you need to use the scales to weigh the coins before identifying the fake coin? (iii)Write a recursive method that returns the value of N! (N factorial). Explain why you would not normally use recursion to solve this problem.Write a recursive solution to the problem below. You MUST use only one method, and that method must have the provided method header. You are allowed to use loops, but you must also use recursion. Given a word of length n, print every possible word of length n that can be made with those characters. Note: The order of the output does not matter, only that all possibilities are listed. Example: Input: rot Output: rot, rto, otr, ort, tro, tor Input: frog Output: frog, frgo, fogr, forg, fgro, fgor, rogf, rofg, rgfo, rgof, rfog, rfgo, ogfr, ogrf, ofrg, ofgr, orgf, orfg, gfro, gfor, grof, grfo, gofr, gorf public void printAllPossibilities (String prefix, String suffix){ }Java Program: Recursive Method There are n people in a room where n is an integer greater then or equal to 2. Each person shakes hands once with every other person. What is the total number of handshakes in the room? Write a recursive method to solve this problem with the following header:public static int handshake(int n)where handshake(n) returns the total number of handshakes for n people in the room. To get you started if there are only one or two people in the room, then:handshake(1)=0handshake(2)=1