Goldbach conjecture states that every even number greater than 2 can be expressed as a sum of two primes. Given a number ‘N’ as input, write a program to check whether the Goldbach conjecture holds for ‘N’, and print the corresponding two primes adding to N. Use prime_helper() function discussed in class. Note: 4 = 2 + 2, 4 is Goldbach because 2 is a prime number

Goldbach conjecture states that every even number greater than 2 can be expressed as a sum of two primes. Given a number ‘N’ as input, write a program to check whether the Goldbach conjecture holds for ‘N’, and print the corresponding two primes adding to N. Use prime_helper() function discussed in class. Note: 4 = 2 + 2, 4 is Goldbach because 2 is a prime number

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter8: Arrays And Strings

Section: Chapter Questions

Problem 21PE

See similar textbooks

Similar questions

please help in this code
Create a program that accepts an integer N, and pass it to the function generatePattern. generatePattern() function which has the following description: Return type - void Parameter - integer n This function prints a right triangular pattern of letter 'T' based on the value of n. The top of the triangle starts with 1 and increments by one down on the next line until the integer n. For each row of in printing the right triangle, print "T" for n times. In the main function, call the generatePattern() function. Input 1. One line containing an integer Output Enter N: 4 T TT TTT TTTT
Write the function that returns the number of days he needs to buy the cost of his first car. Jayesh had some savings (including before the count). On the first Monday, he deposits the first deposit into his bank account. Examples Challenge.NumberOfDays (2050, 1200, 10) → 53\ In JAVA programming language
Code in Python Write a function, print_integers_less_than(n), which takes an integer parameter n and prints each integer k which is at least 0 and is less than n, in ascending order. Hint: use a simple for loop. For example: Test Result print_integers_less_than(2) 0 1 print_integers_less_than(5) 0 1 2 3 4 print_integers_less_than(-3)
Solution in java
(Learning Objective: students will be able to apply their knowledge of the built-in random package to generate simulations of simple phenomena.) Write a function: • dicesim(D1,D2,trials) that takes as input the number of sides on die 1 (D1) and die2 (D2) and the number of trials. Your function should repeatedly sum pairs of random numbers between 1 and D1 and 1 and D2 and keep track of how many times each sum occurs. The function returns a numpy array with the fraction each sum of rolls occured. Since the numbers are chosen at random, the fractions will differ some from run to run. One run of the function print(p22.dicesim(6,6,10000)) resulted in: [0. 0. 0.0259 0.0615 0.0791 0.1086 0.139 0.1633 0.1385 0.114 0.0833 0.0587 0.0281] or displayed using the code from Section 16.1.1.: PMF of X Note: you should submit a file with only the standard comments at the top and the function. The grading scripts will then import the file for testing.
Problem-1: Check if an integer is Prime An integer greater than 1 is prime if its only positive divisor is 1 or itself. For example, 2, 3, 5, and 7 are prime numbers, but 4, 6, 8, and 9 are not. Key idea: To test whether a number is prime, check whether it is divisible by 2, 3, 4, and so on up to number/2. If a divisor is found, the number is not a prime. The algorithm can be described as follows: Use a boolean variable isPrime to denote whether the number is prime; Set isPrime to true initially; for (int divisor = 2; divisor <= number / 2; divisor++) { if (number % divisor == 0) { Set isPrime to false Exit the loop; } }
Problem specification: There is a grid of NXN squares. We can easily determines how many different rectangles (squares are excluded) there are in the grid. For example, in a 3X3 grid, you can find 22 different rectangles, marked as the green rectangles. You can see that we did not count the red ones as they are squares. In this assignment, you will write a Java program that takes the value of N as input and determines the total area of all the rectangles in the grid. Assume that the smallest squares in the grid have length 1. So a 3X2 rectangle will have an area of 6. For example, the total area of all the rectangles in the 3X3 grid is 66.…
.Prime NumbersIn this task, you will implement a program that takes as input a number n and produces alist of integers less than or equal to n that are prime. The way to think about a problem isto break it down into individual parts. Start by creating a function isPrime() that checkswhether it’s argument is prime or not. The pseudocode for checking isPrime is givenbelow, there are better ways to do it… this is just one.6Step 1: count = 2Step 2: while count < numberStep 3: if count divides the number evenly return falseStep 4: add 1 to countStep 5: Goto step 2Step 6: return true
The "enor function"), is a special function that often occurs in the fields of probability and statistics, looks 10 55 3 ** -0.3 -10 art The definition of erfix) can be found here, but for now that is unimportant. There is a function in the Python matherary that directly evaluates the error function for any single, real-valued number. You can import it with the Ine from math inport erf Suppose we want to find the root of the function fo))+J The Newton-Raphson Method does not behave well with functions of this sort (see the lecture notes), so we will need to use the section Method You are to unite a function relatina, eta, left, right, taterace which computes and returns that root aahe (n) and bets (3) are the constants defining the function for) above,left and right define a range known to contain the root, and tolerance is the maxim error that can be tolerated for the root, defined as in the previous questions Notes: You should use your bisection retider function from the previous…
(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.
computer science | c++ code | it's not graded. Correct answer will upvoted else downvoted. It is given a non-negative integer x, the decimal portrayal of which contains n digits. You need to shading every its digit in red or dark, so the number shaped by the red digits is separable by A, and the number framed by the dark digits is detachable by B. No less than one digit should be shaded in every one of two tones. Consider, the include of digits hued in red is r and the include of digits hued in dark is b. Among all potential colorings of the given number x, you need to output any to such an extent that the worth of |r−b| is the base conceivable. Note that the number x and the numbers shaped by digits of each tone, may contain driving zeros. Input :The principal line contains one integer t (1≤t≤10) — the number of experiments. Then, at that point, t experiments follow. Each experiment comprises of two lines. The main line contains three integers n, A, B (2≤n≤40, 1≤A,B≤40).…