(Fibonacci) The Fibonacci series
0, 1, 1, 2, 3, 5, 8, 13, 21, …
begins with the terms 0 and 1 and has the property that each succeeding term is the sum of the two preceding terms. a) Write a nonrecursive function fibonacci(n) that calculates the nth Fibonacci number. Use unsigned int for the function’s parameter and unsigned long long int for its return type. b) Determine the largest Fibonacci number that can be printed on your system.
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- (Distance Between Points) Write a function distance that calculates the distance betweentwo points (x1, y1) and (x2, y2). All numbers and return values should be of type double.arrow_forward#5.Incorrect gurantee downvote. Euler's totient function, also known as phi-function ϕ(n),counts the number of integers between 1 and n inclusive,which are coprime to n.(Two numbers are coprime if their greatest common divisor (GCD) equals 1)."""def euler_totient(n): """Euler's totient function or Phi function. Time Complexity: O(sqrt(n)).""" result = n for i in range(2, int(n ** 0.5) + 1): if n % i == 0: while n % i == 0: n //= i.arrow_forward(Time in Seconds) Write a function that takes the time as three integer arguments (forhours, minutes, and seconds) and returns the number of seconds since the last time the clock “struck12.” Use this function to calculate the amount of time in seconds between two times, both of whichare within one 12-hour cycle of the clockarrow_forward
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- Q2) (Perfect Numbers) An integer number is said to be a perfect number if its factors, including 1 (but not the number itself), sum to the number. For example, 6 is a perfect number because 6 = 1 + 2 + 3. Write a function perfect that determines if parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1 and 1000. Print the factors of each perfect number to confirm that the number is indeed perfect. Challenge the power of your computer by testing numbers much larger than 1000.arrow_forward(Even or Odd) Write a program that inputs a series of integers and passes them one at a timeto function isEven, which uses the remainder operator to determine whether an integer is even. Thefunction should take an integer argument and return 1 if the integer is even and 0 otherwise.arrow_forward(Intro to Python) Write complete python program that defines and calls a function isEvenNumber which takes one parameter and prints whether the number is even or odd. Prompt the user to enter a number and call the function passing the number as an argument to generate the following output. Zero can be classified as even. Sample output is: Enter a number: -5 -5 is odd number or Enter a number: 12 12 is even numberarrow_forward
- (Coin Tossing) Write a program that simulates coin tossing. For each toss of the coin theprogram should print Heads or Tails. Let the program toss the coin 100 times, and count the number of times each side of the coin appears. Print the results. The program should call a separate function flip that takes no arguments and returns 0 for tails and 1 for heads. [Note: If the programrealistically simulates the coin tossing, then each side of the coin should appear approximately halfthe time for a total of approximately 50 heads and 50 tails.]arrow_forward**WITH THESE GIVEN FUNCTIONS**arrow_forward(Statics) An annulus is a cylindrical rod with a hollow center, as shown in Figure 6.7. Its second moment of inertia is given by this formula: I4(r24r14) I is the second moment of inertia (m4). r2 is the outer radius (m). r1 is the inner radius (m). a. Using this formula, write a function called annulusMoment ( ) that accepts two double-precision numbers as parameters (one for the outer radius and one for the inner radius), calculates the corresponding second moment of inertia, and displays the result. b. Include the function written in Exercise 5a in a working program. Make sure your function is called from main(). Test the function by passing various data to it.arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology PtrC++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning