1. Let L denote a list. Write. Prolog procedures to do the following: sumlist (L, S) returns the sum S of the elements in list L. Use a tail-recursive procedure. Test results: ?- Sumlist ([4,1,2,3], S). S = 10 %3D
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- PROLOG: THIS IS A PROLOG ASSIGNMENT Write list utilities that perform the following functions. !!!!!!!!ALSO WRITE THE QUERY!!!! Get the last element of a list Count the elements in a list (Hint - the length of the empty list is 0, the length a non-empty list is 1 + the length of its tail.)Write a recursive function named Multiply2 that multiples by 2 and prints each element in a given list. For example: mylist=[1,2,3,4] Multiply2(mylist) prints: 2 4 6 8 Note: the function takes only one parameter, which is the list on which the operation will be performed.PYTHON RECURSIVE FUNCTION Write a python program that lists all ways people can line up for a photo (all permutations of a list of strings). The program will read a list of one word names, then use a recursive method to create and output all possible orderings of those names, one ordering per line. When the input is: Julia Lucas Mia then the output is (must match the below ordering): Julia Lucas Mia Julia Mia Lucas Lucas Julia Mia Lucas Mia Julia Mia Julia Lucas Mia Lucas Julia
- Complete this code Do not use any loops or regular expressions.THIS IS THE GIVEN CODE public static boolean skipSum(List<Integer> list, int sum) { // call your recursive helper method returnskipSumHelper(list, 0, sum); }private static boolean skipSumHelper(List<Integer> list, int start, int sum) { // base case // recursive step}In Python: Write a recursive function named Multiply2 that multiples by 2 and prints each element in a given list. For example: mylist=[1,2,3,4] Multiply2(mylist) prints: 2 4 6 8 Note: the function takes only one parameter, which is the list on which the operation will be performed. It's ok if the list becomes empty after calling the function.scheme: Q7: No Repeats Implement no-repeats, which takes a list of numbers s as input and returns a list that has all of the unique elements of s in the order that they first appear, but no repeats. For example, (no-repeats (list 5 4 5 4 2 2)) evaluates to (5 4 2). Hints: To test if two numbers are equal, use the = procedure. To test if two numbers are not equal, use the not procedure in combination with =. You may find it helpful to use the filter procedure. (define (no-repeats s) 'YOUR-CODE-HERE ) ;;; Tests (no-repeats (list 5 4 5 4 2 2)) ; expect (5 4 2)
- Write a function in Prolog called isPair.The function should take an array/list of values. It should return true if the list has pairs of equal numbers and false if not. For example, isPair([1,1,2,2,3,3]) is and isPair([1,1,1,1]) is true and isPair([5,5,5]) is false. no hand writtenRecursive Max! Write a recursive function rc_max(L:List[int]) -> int that takes a list L and returns an element with highest value in the list. For example, rc_max([1,2,3]) returns 3. Note that L is not necessarily sorted. You may assume that the input L is not empty. You cannot use the built-in max() Your Answer: 1 # Put your answer here 2 SubmitRESTRICTIONS: - Do not add any imports and do it on python .Do not use recursion. Do not use break/continue.Do not use try-except statements. def cost_to_hike_naive(m: list[list[int]], start_point: tuple[int, int],end_point: tuple[int, int]) -> int:"""Given an elevation map <m> and a start and end point, calculate the cost itwould take to hike from <start_point> to <end_point>. If the start and endpoints are the same, then return 0.Some definitions and rules:1. You can only hike to either a vertically or horizontally adjacentlocation (you cannot travel diagonally).2. You must only travel in the direction of the <end_point>. Moreexplicitly, this means that any move you make MUST take you closerto the end point, so you cannot travel in the other direction.3. We define the cost to travel between two adjacent blocks as theabsolute difference in elevation between those blocks.4. You will calculate the naive route here, so at every position, youwill have two…
- RESTRICTIONS: - Do not add any imports and do it on python .Do not use recursion. Do not use break/continue.Do not use try-except statements def cost_to_hike_naive(m: list[list[int]], start_point: tuple[int, int], end_point: tuple[int, int]) -> int: """ Given an elevation map <m> and a start and end point, calculate the cost it would take to hike from <start_point> to <end_point>. If the start and end points are the same, then return 0. Some definitions and rules: 1. You can only hike to either a vertically or horizontally adjacent location (you cannot travel diagonally). 2. You must only travel in the direction of the <end_point>. More explicitly, this means that any move you make MUST take you closer to the end point, so you cannot travel in the other direction. 3. We define the cost to travel between two adjacent blocks as the absolute difference in…1. Write a recursive method expFive(n) to compute y=5^n. For instance, if n is 0, y is 1. If n is 3, then y is 125. If n is 4, then y is 625. The recursive method cannot have loops. Then write a testing program to call the recursive method. If you run your program, the results should look like this: > run RecExpTest Enter a number: 3 125 >run RecExpTest Enter a number: 3125 2. For two integers m and n, their GCD(Greatest Common Divisor) can be computed by a recursive function. Write a recursive method gcd(m,n) to find their Greatest Common Divisor. Once m is 0, the function returns n. Once n is 0, the function returns m. If neither is 0, the function can recursively calculate the Greatest Common Divisor with two smaller parameters: One is n, the second one is m mod n. Although there are other approaches to calculate Greatest Common Divisor, please follow the instructions in this question, otherwise you will not get the credit. Meaning your code needs to follow the given algorithm. Then…Complete the following list comprehensionlc5 = [ for c in 'bu be you']so that it produces the list [True, True, False, True, False, False, False, False, True]. Note that the expression 'bu be you' is a string, not a list.