Implement the following Racket functions: Reflexive? Input: a list of pairs, L and a list S. Interpreting L as a binary relation over the set S, Reflexive? returns #t if L is a reflexive relation over the set S and #f otherwise. Examples: (display "Reflexive?\n") (Reflexive? '((a a) (b b) (c c)) '(a b c)) ---> #t (Reflexive? '((a a) (b b)) '(a b c)) ---> #f (Reflexive? '((a a) (a s) (b b) (c c)) '(a b c)) ---> #f (Reflexive? '() '()) ---> #t
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Implement the following Racket functions:
Reflexive?
Input: a list of pairs, L and a list S. Interpreting L as a binary relation over the set S, Reflexive? returns #t if L is a reflexive relation over the set S and #f otherwise.
Examples:
(display "Reflexive?\n")
(Reflexive? '((a a) (b b) (c c)) '(a b c)) ---> #t
(Reflexive? '((a a) (b b)) '(a b c)) ---> #f
(Reflexive? '((a a) (a s) (b b) (c c)) '(a b c)) ---> #f
(Reflexive? '() '()) ---> #t
You must use recursion, and not iteration. You may not use side-effects (e.g. set!).
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- Implement the following Racket functions: You must use recursion, and not iteration. You may not use side-effects (e.g. set!). Transitive? Input: a list of pairs, L. Interpreting L as a binary relation, Transitive? returns #t if L is a transitive relation and #f otherwise. Examples: (display "Transitive? \n") (Transitive? '((a b) (b c) (a c))) ---> #t (Transitive? '((a a) (b b) (c c))) ---> #t (Transitive? '((a b) (b a))) ---> #f (Transitive? '((a b) (b a) (a a))) ---> #f (Transitive? '((a b) (b a) (a a) (b b))) ---> #t (Transitive? '())---> #tImplement the function below void swap(int pos1, int pos2) {} Inital code to be completed: class LinkedList : public List { node* head; node* tail; int index; node* create_node(int num) { node* n = (node*) malloc(sizeof(node)); n->element = num; n->next = NULL; return n; } public: LinkedList() { index = 0; head = NULL; tail = NULL; } int add(int num) { addTail(num); return index; } int get(int pos) { node* currnode = head; int count =0; while (currnode != NULL){ count++; if (count == pos){ return currnode -> element; }else{ currnode = currnode -> next; } } return -1; } int size() { return index; } void swap(int pos1, int pos2) { } // WARNING!…Implement a __setitem__ function that also supports negative indices. For example: W = L2(Node(10, Node(20, Node(30))))print W[ 10, 20, 30 ] W[1]=25print W[ 10, 25, 30 ] W[-1]=35print W[ 10, 25, 35 ] Complete the code: def L2(*args,**kwargs): class L2_class(L): def __getitem__(self, idx): <... YOUR CODE HERE ...> def __setitem__(self, idx, value): <... YOUR CODE HERE ...> return L2_class(*args,**kwargs) W = L2(Node(10, Node(20, Node(30))))print(W)W[1]=25print(W)W[-1]=35print(W)
- Implement the function below void swap(int pos1, int pos2) {} For LinkedList, to maintain integrity of data in the structure, you are not to swap directly the element, nor remove a node. Instead, you are to only change the nodes' next pointers. Inital code to be completed: class LinkedList : public List { node* head; node* tail; int index; node* create_node(int num) { node* n = (node*) malloc(sizeof(node)); n->element = num; n->next = NULL; return n; } public: LinkedList() { index = 0; head = NULL; tail = NULL; } int add(int num) { addTail(num); return index; } int get(int pos) { node* currnode = head; int count =0; while (currnode != NULL){ count++; if (count == pos){ return currnode -> element; }else{ currnode = currnode -> next; } }…Write a C++ program that: (1) defines and implements a hash class that constructs a 15 element array (may be implemented using a vector, a deque, or a list, if you prefer, (using the STL implementations, not Nyhoff's), storing strings, using the following hash function: ((first_letter) + (last_letter) - (second_letter))% 15 (2) the driver program should: a. query the user for ten words and store them using the hash technique described above. b. print out the contents of each position of the array (or vector, deque, or whatever you used), showing vacant as well as filled positions. Remember, only 10 of the 15 positions will be filled. c. repeatedly query the user for a target word, hash the word, check for its inclusion in the list of stored words, and report the result. Continue doing this task until the user signals to stop (establish a sentinel condition).Create a generic function increment_if(start, stop, condition, x) that increments by x all the elements in the range [start,stop) that satisfy the unary predicate condition. The addition is done using the + operator. The arguments start and stop are bidirectional iterators. Do not use any STL algorithms in the implementation of the function.
- Can anyone please solve this question asap ? Thank yoyuIn this question, you are required to implement singly linked list and its concepts to solve the problems of a departmental store described in the scenario given below:A departmental store has a variety of products to sell. Each product type has a unique ID and price associated with it (for example soaps can have an ID of 1 and price of 50 etc.). A customer comes to the store and starts putting items in his/her shopping cart. Once all theitems have been placed in the shopping cart, the customer then proceeds to checkout but before that, he/she will sort (in ascending order of IDs) the shopping cart’s items and proceed to remove all the duplicate items from the shopping cart, that is if two soaps have been added to the cart, only 1 will be kept. At the checkout counter, he/she will then remove items from the cart by removing from the end of the shopping cart (linked list). A bill for that customer is then generated and printed.You…Please implement this function: void swap(int pos1, int pos2) {}. There's an answer from the previous teacher but he added '' node** hRef " in the function (see below) please correct without the href. For LinkedList, to maintain integrity of data in the structure, you are not to swap directly the element, nor remove a node. Instead, you are to only change the nodes' next pointers. PLEASE CORRECT THIS ONE void swap(node** hRef, int pos1, int pos2) { if (pos1 == pos2) return; node *prevNode1 = NULL; node* currNode1 = *hRef; while (currNode1 && currNode1->index != pos1) { prevNode1 = currNode1; currNode1 = currNode1->next; } node *prevNode2 = NULL; node *currNode2 = *hRef; while (currNode2 && currNode2->index != pos2) { prevNode2 = currNode2; currNode2 = currNode2->next; } if (currNode1 == NULL || currNode2 == NULL) return; if (prevNode1 != NULL) prevNode1->next =…1. Suppose you have already developed an SLL ADT. You have to search a specificelement of the linked list. If you find the element in the list then you have to swapits previous node with its next node. Otherwise, simply print the message “Datanot found”. Now write a function in your SLL ADT with this functionality.
- Extend the class linkedListType by adding the following operations:a. Write a function that returns the info of the kth element of the linkedlist. If no such element exists, terminate the program.b. Write a function that deletes the kth element of the linked list. If nosuch element exists, output an appropriate message. Provide the definitions of these functions in the class linkedListType. Also writea program to test these functions. (Use either the classunorderedLinkedList or the class orderedLinkedList to testyour function.) Note: Code in c++Q4 Suppose, alist is a 2-dimensional list that is defined as follows. alist = [ [1], [2,3], [5,6,7] ] Which is the best option to access the last element of the last element of this list (i.e., 7)? Question 4 options: alist[ len(alist) - 1 ][len(alist[len(alist) - 1]) - 1] alist[ len(alist) - 1 ][len(alist[len(alist) - 1])] alist[3][3] alist[ len(alist) - 1 ][1]Write a C++ program that: (1) defines and implements a hash class that constructs a 15 element array (may be implemented using a vector, a deque, or a list, if you prefer, (using the STL implementations), storing strings, using the following hash function: ((first_letter) + (last_letter) - (second_letter))% 15 (2) the driver program should: a. query the user for ten words and store them using the hash technique described above. b. print out the contents of each position of the array (or vector, deque, or whatever you used), showing vacant as well as filled positions. Remember, only 10 of the 15 positions will be filled. c. repeatedly query the user for a target word, hash the word, check for its inclusion in the list of stored words, and report the result. Continue doing this task until the user signals to stop (establish a sentinel condition).