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Python
Big-O Coding Exercise
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- I need help in 5: 5. Recursively Reverse a List Mke a recursive function that reverses a list. For example, given [1, 2, 3, 4], the function would return this list [4, 3, 2, 1]. It does not print anything. Instruction is below Practice writing recursive functions in python3 Make the five recursive functions described below in python3 by using the starter code recursive_functions.py. For each function, figure out how to solve it conceptually : write down the base case (when recursion stops) and how each recursive function-call moves towards the base case. The functions should not print anything (except you may add temporary print statements to help debug them). You can test your program by using the provided program test_recursive.py. Don't edit the test program. Put it into the same directory (folder) with your recursive_functions.py and run it. It will import your functions as a module, test your functions, and tell you when each function is returning correct results. 1. Factorial…Need help with this python question. You can't use break, str.endswith, list.index, keywords like: await, as, assert, class, except, lambda, and built in functions like: any, all, breakpoint, callable. ---------You also can't use Sorted---------- Create a recursive function def ab_equal(n, k, current): Print out all of the strings of a's and b's of length n so that the number of a's and b's are equal. For n = 2, there's ab and ba. For n = 3 there are no strings since they'd have to have 2 a's and 1 b, or 2 b's a 1 a so not equal. For n = 4, there will be 6 of these strings, and for n = 5, zero again. Hint: use k to track the difference between a's and b's. So for instance if your current is aaabb then k should be equal to either 1 or -1 (your choice depending). When you call the function, you should call it from your main or testing function with the length in the n parameter, 0 should be put into the k parameter, and then an empty string will be passed in for…Python: How do I create a recursive function asterisk with both recursive and base cases? so for n=3, you would have below; *** ** * code that I have: for i in range(n): print("*",end="")
- describe the 2-approximation algorithm's Python source code. The majority of the code is concerned with removing the randomly chosen edge and its surrounding edges from the graph. The incidence matrix B(G) from the graph G is the input to the procedure VC Approx. Every iteration, the endpoints of a chosen edge are added to the list V C and the unmarked edges are kept in the list edges. We input the graph's incidence matrix B and then iterate through the rows of B to find edges that are near the matched edge. The main while loop iterates until this list is empty after each found edge is removed from the list edges.Which of the following is false? A) Problems that cannot be solved using loops can be solved with recursive functions B) Recursive functions have a recursive case that does work and then calls the function again. They also have a base case that solves the most basic instance of the problem. C) It only makes sense to use recursive functions to solve problems with integer answers. D) Upon execution of a recursive function, python stores different instances of the function's local variables and arguments for each recursion call.Need help with this python question. You can't use break, str.endswith, list.index, keywords like: await, as, assert, class, except, lambda, and built in functions like: any, all, breakpoint, callable. Create a recursive function def ab_equal(n, k, current): Print out all of the strings of a's and b's of length n so that the number of a's and b's are equal. For n = 2, there's ab and ba. For n = 3 there are no strings since they'd have to have 2 a's and 1 b, or 2 b's a 1 a so not equal. For n = 4, there will be 6 of these strings, and for n = 5, zero again. Hint: use k to track the difference between a's and b's. So for instance if your current is aaabb then k should be equal to either 1 or -1 (your choice depending). When you call the function, you should call it from your main or testing function with the length in the n parameter, 0 should be put into the k parameter, and then an empty string will be passed in for current. Sample Output linux5[109]%…
- How to apply this python code to remove the multiples of an input? def removeMultiples(x, arr): #Base Case/s #TODO: Add conditions here for your base case/s #if <condition> : #return <value> #Recursive Case/s #TODO: Add conditions here for your recursive case/s #else: #return <operation and recursive call> #remove the line after this once you've completed all the TODO for this function return []IN PYTHON I want a code in python and no need to post work on paper Iwant a screenshot of the code A tridiagonal matrix is one where the only nonzero elements are the ones on the main diagonal and the ones immediately above and below it.Write a function that solves a linear system whose coefficient matrix is tridiag- onal. In this case, Gauss elimination can be made much more efficient because most elements are already zero and don't need to be modified or added. As an example, consider a linear system Ax = b with 100,000 unknowns and the same number of equations. The coefficient matrix A is tridiagonal, with all elements on the main diagonal equal to 3 and all elements on the diagonals above and below it equal to 1. The vector of constant terms b contains all ones, except that the first and last elements are zero. You can use td to find that x1= −0.10557. The following code format should help: def td(l, m, u, b): '''Solve a linear system Ax = b where A is tridiagonal Inputs: l,…1. A set of integers are relatively prime to each other if there is no integer greater than 1 that divides all the elements. Furthermore, in Number Theory, it is known that the Euler function,ϕ (n), expresses the number of positive integers less than n that are relatively prime with n. Choose the alternative that has the correct value of ϕ(n) for every n below. A) ϕ(5) = 4 B) ϕ(6) = 2 C) ϕ(10) = 3 D) ϕ(14) = 6 E) ϕ(17) = 16
- Using Python Recursion is the concept of a function calling itself until the problem is solved when the Base Case is met. Study Recursion: See slides in Modules, Practice Slides, lab12 and also Recursion is in chapter 9 of the textbook. Some examples of recursion are: compute [ factorial of a number, towers of Hanoi, fractals (as shown in the textbook), and many more]. Example: See slides Page 2 For this assignment we'll use Collatz Cojecture (see Wikipedia). Collatz Conjecture algorithm: Given a number n, first call to the function: f(n): In the function: if n == 1 return 1: if n is even then f(n/2), i.e. call self with the new value. else (n is odd) call self with the new value, f((n*3)+1) and repeat. All numbers eventually end up with 1. The program should test for the base case which is: if n == 1, in which case it returns to the caller with 1. This problem is perfect to demonstrate Recursion.Create a list with random numbers (you can just do this part manually) in the list as 1,…Python’s pow function returns the result of raising a number to a given power. Define a function expo that performs this task, and state its computational complexity using big-O notation. The first argument of this function is the number, and the second argument is the exponent (nonnegative numbers only). You may use either a loop or a recursive function in your implementation. Caution: do not use Python’s ** operator or pow function in this exercise! ----------------------------------------------------------------------------------- """ File: expo.py Project 11.3 Defines a function to raise a number to a given power. The complexity is O(n), where n is the exponent. """ def expo(base, exponent): # Write your function here def main(): """Tests with powers of 2.""" for exponent in range (5): print(exponent, expo(2, exponent)) if __name__ == "__main__": main()Please code the following problem in Python. Please follow the instructions. Thank you. Make a Big-O function that accepts, as an input, a list of size n and prints all the integers from 1 up to n. Follow the restrictions that are enumerated below: -You must only print each number ONCE. -The algorithm/code function must have a time complexity of O(n^2). -The input must be a LIST, not an integer. For example, if the input is a list of size 4, the output is: 1 2 3 4 If the input is 3, the output should be: 1 2 3