Consider the following method: public static void method (int x, int y) { if (x < y) { method (x+1, y); System.out.print (x + " "); } } What will happen as the result of calling method (2,6)? (Select all correct answers)
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- 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 19• Write a recursive method to complete the class BaseRaiseToN. • The method: public static int raiseBToN(int base, int exp) computes and returns the value of Bn using recursion.• What value/values of n will stop the recursion (base case)?• A precondition of this method is that B be a positive number greater than zero Sample Output Enter the base4Enter the exponent 3 4 to 3 is 64Given 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 19
- Do the trace in detail and submit The source Code As Well From the following recursive method Trace (in details) the calling of the above method with any input from your choice such that thereturned value will be 19. 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);}Given the following recursive method, what is the return value of a call to mystery(18)? public static int mystery(int z){ if (z == 0){ return 2; } else{ return z * mystery(z - 3); }}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);}}
- Here is a recursive method: public static int mystery(int n, int i) { if(n == 1) return i; else if(n % 2 == 0) return mystery(n/2, i+1); else return mystery(3*n + 1, i+1); } What is the return value of the following call? mystery(3,0);Write a static recursive method that returns the number of digits in theinteger passed to it as an argument of type int. Allow for both positiveand negative arguments. For example, –120 has three digits. Do not countleading zeros. Embed the method in a program, and test it.The nth harmonic number is defined non-recursively as H(n) = 1+1/2+1/3+1/4+⋯+1/n Come up with a recursive definition and use it to guide you to write a method definition for a double-valued method named “harmonic” that accepts an int parameter n and recursively calculates and returns the nth harmonic number. Write a test program that displays the harmonic numbers, H(n), for n = 1,2,3,⋯,10.
- Write a recursive method in java public static long numPaths(int r, int c) which can solve the following scenario: a checker is placed on a checkerboard. What are the fewest moves to get to the upper left corner(0,0)? You can only move sideways or vertically. No diagonal moves. Once you have that calculation, how many different ways are there to get to the upper left corner? this is my code but I am getting stock overflow, I'm not reaching my base case. public static long numPaths(int r, int c) { //base case if (r==0 && c==0 || r==0 || c==0) return 1; else { return numPaths(r, c--) + numPaths(r--, c); } }The following recursive method is created public static void t(int a) { if (a < 250) return; System.out.print(a+" "); ____1____ ( ____2____ _____3_____ _____4_____ ); //this is the recursive call code } What code should be placed for the numbers so that the output 1000 500 250 is generated with the call t(1000)Consider the following recursive method.int recursum(int a, int b){if (a%b == 0)return b;elsereturn recursum (b, a%b);}a. What is the output given by recursum (48, 18)?b. What is the output given by recursum (85, 25) ?