Write a program to solve the Josephus problem, with the following modification: Sample Input: ./a.out n m p where n is the number of players and m is the count used for every odd turn while p is the count used for every even turn. /a.out 5 2 3 Sample Output: Round 1: 1 -> 3 -> 4 -> 5 Round 2: 1->3-> 4 Round 3: 1 -> 4 Round 4: 1 Winner is 1.
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- asapWrite a c program that counts the number of numbers from 1 to m that are divisible by n. Use the sample run as guide. Sample run: Program to Count the Number of Numbers from 1 to M That are Divisible by NEnter M (>1): 3Enter N (>1): 4There are no numbers from 1 to 3 that are divisible by 4.Enter M (>1): 4Enter N (>1): 2There are 2 numbers from 1 to 4 that are divisible by 2.Enter M (>1): 4Enter N (>1): 3There is 1 number from 1 to 4 that is divisible by 3.Enter M (>1): -5You have entered an invalid input. Program will now terminate.Implement a program that reads two integers (n and k). The program must output the binomial coefficient as follows: Print every coefficient that is before binomial coefficient for given k; Example: Insert n: 5 Insert k: 3 Result: 10 Coefficient-array: 1 5 10 10 Print Pascal Triangle for the given n: Example (n=5): 1 11 121 1331 14641 15 10 10 5 1
- Given an integer N and a base X, the task is to find the minimum number of operations required to represent N as a sum of the distinct powers of X. In each operation, you can either increment or decrement N. You are allowed to make the given operation any number of times Examples: Input: N = 7, X = 3 Output: 3.Write a python function that takes one integer (n) parameter and prints the first n digits from the Fibonacci series using recursion.Sample input: 5Sample output: 0, 1, 1, 2, 3 Write a function that takes one integer parameter, makes sure it is an integer, prints sum of every two digits and return the sum of digits from the number entered by the user up to 1, using recursion.Sample input: 4 Sample output: 4+3 = 77+2 = 99+1 = 10Write a program that accepts a set of integer numbers. Your program should count the number of even numbers and find the maximum even. Use -1 to stop your data entry. Sample Input/ Output: Enter integer numbers, Use -1 to stop your data entry. 12 33 66 -1 There are 2 even numbers. The maximum even number is 66.
- Write a program that performs arithmetic division. The program will use two integers, a and b (obtained by the user) and will perform the division a/b, store the result in another integer c and show the result of the division using cout. In a similar way, extend the program to add, subtract, multiply, do modulo and power using integers a and b. Modify your program so that when it starts, it asks the user which type of calculation it should do, then asks for the 2 integers, then runs the user selected calculation and outputs the result in a user friendly formatted manner.Write a program that gets one integer number as input and outputs a palindrome as bellow.While writing this program, you should be using a recursive function. validate your input to be integer and positive.Sample input: 5Sample output: 5 0 4 0 3 0 2 0 1 0 1 0 2 0 3 0 4 0 5Sample input: 4Sample output: 4 0 3 0 2 0 1 0 1 0 2 0 3 0 4Write a program in Python that reads four integers and prints "two pairs" if the input consists of two matching pairs (in some order) and "not two pairs" otherwise. For example, 1 2 2 1 is "two pairs", 1 2 2 3 is "not two pairs", and 2 2 2 2 is "two pairs"
- Write a program that counts the number of integers from 1 to M that are divisible by N. Use the sample run as guide. Note, that the program repeats until an invalid input is encountered. Sample run: Program to count the number of integers from 1 to M that are divisible by N. Enter M (>1): 3 Enter N (>1): 4 There are no integers from 1 to 3 that are divisible by 4. Enter M (>1): 4 Enter N (>1): 2 There are 2 integers from 1 to 4 that are divisible by 2. Enter M (>1): 4 Enter N (>1): 3 There is 1 integer from 1 to 4 that is divisible by 3. Enter M (>1): -5 You have entered an invalid input. Program will now terminate.Write a Python (or R) program that asks the user to enter an integer (X), then: Determines if X is prime or not • If X is not prime, compute and print the factors of that integer X • Evaluate and print the equation Y=8X²+ 1, for X values from -5 to 5 using the range function and for loopWrite a program that calculate the values of (X + Y) x (X – Y) where X, Y = 0, 1, 2, …, 9and prints the following table:X|Y 0 1 2 3 4 5 6 7 8 90| 0 -1 -4 -9 -16 -25 -36 -49 -64 -811| 1 0 -3 -8 -15 -24 -35 -48 -63 -802| 4 3 0 -5 -12 -21 -32 -45 -60 -773| 9 8 5 0 -7 -16 -27 -40 -55 -724| 16 15 12 7 0 -9 -20 -33 -48 -655| 25 24 21 16 9 0 -11 -24 -39 -566| 36 35 32 27 20 11 0 -13 -28 -457| 49 48 45 40 33 24 13 0 -15 -328| 64 63 60 55 48 39 28 15 0 -179| 81 80 77 72 65 56 45 32 17 0