public static int test(int n, int k) { if (k == 0 || k == n) { return 1; } else if (k>n) { return 0; } else { return test(n-1, k-1)+ test(n-1, k); } For each of the following calls, indicate the output that is produ test(7,5); test(6,4): test(4,5); test(8,3); test(5,5);
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- public class solution { public static int countZerosRec(int input){ if(input<10){ if(input==0){ return 1; }else{ return 0; } } if(input % 10 == 0){ return countZerosRec(input/10)+1; } else{ return countZerosRec(input/10); }.coding need complete.A pentagonal number is defined as n(3n−1) ∕ 2 for n = 1, 2, . . ., etc.. Therefore, the first few numbers are 1, 5, 12, 22, . . . . Write a method with the following header that returns a pentagonal number:public static int getPentagonalNumber(int n) For example, getPentagonalNumber(1) returns 1 and getPentagonalNumber(2) returns 5. In Java, Write a test program that uses this method to display the first 100 pentagonal numbers with 10 numbers on each line. Numbers are separated by exactly one space.Complete the method definition to return the hours given minutes. Output for sample program:3.5 -java code- import java.util.Scanner;public class HourToMinConv { public static double getMinutesAsHours(double origMinutes) { /* Your solution goes here */ } public static void main (String [] args) { Scanner scnr = new Scanner(System.in); double minutes; minutes = scnr.nextDouble(); // Will be run with 210.0, 3600.0, and 0.0. System.out.println(getMinutesAsHours(minutes)); }}
- 7 public static int test1(int x1, int x2){ 8 9 if(x1==0){ 10 x1=10; 11 } 12 if(x2==0){ 13 x2=10 14 } 15 16 return x1*x2; 17 } 18 19 public static int test2(int x2, int x1){ 20 return x2-x1; 21 } 22 public static int input(){ //Don’t need to trace through //this method to show how it works. Just assume it pulls //the value for the user. 23 Scanner keyboard = new Scanner(new BufferedReader(new InputStreamReader(System.in))); 24 int counter=0; 25 System.out.print("Please enter an integer: "); 26 while(counter<3 && !keyboard.hasNextInt()) 27 { 28 System.out.println(); 29 String temp=keyboard.next(); 30 System.out.println(temp+" is not an integer. Please reenter an integer."); 31 counter++; 32 33 } 34 return keyboard.nextInt(); 35 } 36 37 38…What is the probability that in a classroom of x people, at least 2 will be born on the same day of the year (ignore leap year)? Use a Monte Carlo Simulation and a frequency table to write a program that calculates this probability, where the number of people (x) in the simulated class is given by the user. PLEASE USE the outline of the code GIVEN to answer this question: import mathimport random # create and initialize frequency table:ft = []k = 0while(k < 365) : ft.append(0) k = k+1 # Allow the user to determine class size:print("Please type in how many people are in the class: ")x= int(input()) success = 0 # Simulate:c = 0while(c < 10000) : # Step 1: re-initialize birthday frequency table (it must be re-initialized for each play-through (why?): k = 0 while(k < 365) : ft[k] = 0 k = k+1 # Step 2: randomly get x birthdays and update frequency table: k = 0 while(k < x): # your code goes here ########################## k = k+1 # Step 3:…please answer correctly Algorithm Running Time package test; import java.util. *; import java.util.Random; public class Test { private long start = 0; public Test() { start = System.currentTimeMillis(); } public double elapsedTime() { long now = System.currentTimeMillis(); return (now - start) / 1000.0; } private static long constant_value(long paramInt) { long l = 0L; for (int i = 0; i < paramInt; i++) l += 1L; return l; } private static long logarithmic(long paramInt1, long paramInt2) { long l = 0L; for (int i = 1; i + i <= paramInt1; i += i) l += constant_value(paramInt2); return l; } private static long sqrt(long paramInt1, long paramInt2) { long l = 0L; int i = 0; for (int j = 0; j < paramInt1; i++) { l += constant_value(paramInt2);j += i; } return l; } public static long linearithmic(long paramInt1, long paramInt2) { if (paramInt1 == 0)…
- What is the probability that in a classroom of x people, at least 2 will be born on the same day of the year (ignore leap year)? Use a Monte Carlo Simulation and a frequency table to write a program that calculates this probability, where the number of people (x) in the simulated class is given by the user. The probability for a class of size 23, should be right around 50%. NO language of "break" or "true" please! Please use the outline given below for the code:A pentagonal number is defined as n(3n-1)/2 forn = 1 , 2 , …, and so on. Therefore, the first few numbers are 1, 5, 12, 22,. . . . Write a method with the following header that returns a pentagonalnumber:public static int getPentagonalNumber(int n)For example, getPentagonalNumber(1) returns 1 and getPentagonalNumber(2) returns 5. Write a test program that uses this method to display thefirst 100 pentagonal numbers with 10 numbers on each line. Use the %7d formatto display each number.What is the probability that in a classroom of x people, at least 2 will be born on the same day of the year (ignore leap year)? Use a Monte Carlo Simulation and a frequency table to write a program that calculates this probability, where the number of people (x) in the simulated class is given by the user. The probability for a class of size 23, should be right around 50%. NO language of "break" or "true" please! PLEASE USE THE OUTLINE GIVEN BELOW TO WRITE THE CODE: # What is the probability that in a classroom of x people, at least 2 will be born on the same day of the year (ignore leap year)?# I have given you the skeleton and some of the code... you complete it using a frequency table!# Note: In a classroom of only 23 people, the probability is about 50.7% !# Try first with 10000 trials and then try with 100000 trials. This code runs somewhat slowly in repl.it import mathimport random # create and initialize frequency table:ft = []k = 0while(k < 365) : ft.append(0) k = k+1…
- Write a recursive method called digitCount() that takes a positive integer as a parameter and returns the number of digits in the integer. Hint: The number of digits increases by 1 whenever the input number is divided by 10. Use Java. Ex: If the input is: 345 the method digitCount() returns and the program outputs: 3 Ex: If the input is: 0 the method digitCount() returns and the program outputs: 1 import java.util.Scanner; public class LabProgram {/* TODO: Write recursive digitCount() method here. */public static void main(String[] args) {Scanner scnr = new Scanner(System.in);int num, digits;num = scnr.nextInt();digits = digitCount(num);System.out.println(digits);}}IN JAVA - Write a program whose input is two integers, and whose output is the first integer and subsequent increments of 5 as long as the value is less than or equal to the second integer. End with a newline. Ex: If the input is: -15 10 the output is: -15 -10 -5 0 5 10 Ex: If the second integer is less than the first as in: 20 5 the output is: Second integer can't be less than the first. For coding simplicity, output a space after every integer, including the last. BASE CODE: import java.util.Scanner; public class LabProgram { public static void main(String[] args) { /* Type your code here. */ }}Java program Write a test program that inputs, sorts, outputs Integer and Float. And call the isEqualTo method.