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- Programming Language :- C 7. A function is defined for a positive integer n as follows: 3n + 1, if n is odd f(n) = { n if n is even 2 We consider the repeated application of the function starting with a given integer n, as follows: f(n), f(f(n)), f(f(f(n))), It is conjectured that no matter which positive integer n you start from; this sequence eventually will reach to 1. If n = 13, the sequence will be 13, 40, 20, 10, 5, 16, 8, 4, 2, 1. Thus if you start from n = 13, you need to apply function 10 times to reach 1. Write a recursive function that takes n as an input number and returns how many times function f has to be applied repeatedly to reach 1.please typed Let the function fun be defined as: int fun(int* k) { *k += 6; return 4 * (*k); } Suppose fun is used in a program as follows: void main() { int i = 10, j = 20, sum1, sum2; sum1 = (i / 2) + fun(&i); sum2 = fun(&j) + (j / 2); } Question: What are the values of sum1 and sum2 if a) operands in the expressions are evaluated left to right? b) operands in the expressions are evaluated right to left?Drawing a right side up triangle Write a recursive function called DrawTriangle() that outputs lines of '*' to form a right side up isosceles triangle. Function DrawTriangle() has one parameter, an integer representing the base length of the triangle. Assume the base length is always odd and less than 20. Output 9 spaces before the first '*' on the first line for correct formatting. Hint: The number of '*' increases by 2 for every line drawn. Ex: If the input of the program is: 3 the function DrawTriangle() outputs: * *** Ex: If the input of the program is: 19 the function DrawTriangle() outputs: * *** ***** ******* ********* *********** ************* *************** ***************** ******************* Note: No space is output before the first '*' on the last line when the base length is 19. in c++
- float theRealQuestion (int x, float y) { int z; if (x > 15) z = x; else z = y; return z; } Code the function prototype for the given function.Create a function in C language that takes two integers x, and y as the parameters and returns the sum and the absolute difference of both the numbers but the return type of the function should be void. You can add extra parameters to the function but the function should not return anything and should send the required values as well. Test your function for the numbers 10, and 5 inside the main function.***Coded in Dr Racket Scheme ONLY (.rkt file)*** #lang racket ***Will downvote if coded in another language*** Write two recursive functions that calculates the leibniz series to 100 terms.In the first version, determine the sign of each term with a named subprogramThe second version of the function that uses lambda instead of a named subprogram.
- Write a class Fraction that defines adding, subtracting, multiplying, and dividing fractions by overloading standard operators for these operations. Write a function member for reducing factors and overload I/O operators to input and output fractions.injective functionPython Need help with code A rule has three parts: •name –a simple name for the rule (e.g., up, left, down, right) •precondition function –a Boolean function that accepts a state and returns true if the rule is applicable to state •action function –a function that accepts a state and returns the successor state obtained by applying the rule. You can use these rules to implement functions such as applicable-rule, which returns a list of the rules applicable to a given state, and successor-state, which returns the successor state for a given state and rule. Question: Encode the rules for the sliding-tile puzzle. Remember that it is easiest to consider moving the empty space up, left, down, or right. Using these rules, write routines to determine the rules applicable to a state and the successor state given a state and rule to apply. Note that you could implement these as iterators or have them return lists (or vectors) or rules and states.