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- 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 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!).Implement a Doubly linked list to store a set of Integer numbers (no duplicate) Using Java• Instance variable• Constructor• Accessor and Update methods1. Define a Node Class.a. Instance Variables # E element - (generics framework) # Node next (pointer) - refer to the next node (Self-referential) # Node prev (pointer) - refer to the previous node (Self-referential)b. Constructorc. Methods # E getElement() //Return the value of this node. # setElement(E e) // Set value to this node. # Node getNext() //Return the next pointer of this node. # setNext(Node n) //Set the next pointer to this node. # Node getPrev() //Return the pointer of this node. # setPrev(Node n) //Set the previous pointer to this node. # displayNode() //Display the value of this node.
- A binary operator f on a set X is commutative if f(x, y) = f(y, x)for all x, y ∈ X.State whether the givenfunction f is a binary operator on the set X. If f is not a binaryoperator, state why. State whether or not each binary operator iscommutative f(x, y) = x ∪ y, X = P({1, 2, 3, 4})C++ PROGRAM USE THE DRIVER CODE ATTACHED BELOW // { Driver Code Starts #include<bits/stdc++.h> using namespace std; // }Driver Code Ends class Solution { public: // Function to return a path vector consisting of vertex ids from vertex 0 to target vector shortestPath(int V, vector adj[], int target) { // Enter your code here! } }; // { Driver Code Starts int main() { int tc; cin >> tc; while (tc--) { int V, E, target; cin >> V >> E >> target; vector adj[V]; for (int i = 0; i < E; i++) { int u, v; cin >> u >> v; adj[u].push_back(v); // adj[v].push_back(u); } // string s1; // cin>>s1; Solution obj; vector ans = obj. shortestPath(V, adj, target); for (int i = 0; i < ans.size(); i++) { cout << ans[i] << " "; } cout << endl; } return 0; } // } Driver Code EndsImplement a function void copyStack(StackSLL<T>& s1, StackSLL<T>& s2) thatcopies elements from stack s1 to stack s2 without using any additional stacksor arrays.Example input: S1: [3,4,5,6]. Output: S2: [3,4,5,6]
- Write a program (in main.cpp) that: Prompts the user for a filename containing node data. Outputs the minimal spanning tree for a given graph. You will need to implement the createSpanningGraph method in minimalSpanTreeType.h to create the graph and the weight matrix. Note: Files Ch20_Ex21Data.txt and Ch20_Ex4Data.txt contain node data that you may test your program with. minimalSpanTreeType.h : #ifndef H_msTree #define H_msTree #include <iostream> #include <fstream> #include <iomanip> #include <cfloat> #include "graphType.h" using namespace std; class msTreeType: public graphType { public: void createSpanningGraph(); //Function to create the graph and the weight matrix. //Postcondition: The graph using adjacency lists and // its weight matrix is created. void minimalSpanning(int sVertex); //Function to create a minimal spanning tree with //root as sVertex. // Postcondition: A minimal spanning…Create a function that takes a grid of # and -, where each hash (#) represents amine and each dash (-) represents a mine-free spot.Return a grid, where each dash is replaced by a digit, indicating the number ofmines immediately adjacent to the spot i.e. (horizontally, vertically, anddiagonally).Example of an input:[ ["-", "-", "-", "#", "#"],["-", "#", "-", "-", "-"],["-", "-", "#", "-", "-"],["-", "#", "#", "-", "-"],["-", "-", "-", "-", "-"] ]Example of the expected output:[ ["1", "1", "2", "#", "#"],["1", "#", "3", "3", "2"],["2", "4", "#", "2", "0"],["1", "#", "#", "2", "0"],["1", "2", "2", "1", "0"] ]Here is a tip. When checking adjacent positions to a specific position in the grid,the following table might assist you in determining adjacent indexes:NW position =current_row - 1current_col - 1N position =current_row - 1current_colNE position =current_row - 1current_col + 1W position =current_rowcurrent_col - 1Current position =current_rowcurrent_colE position…C++ Use the driver code typed out below to answer the question. // { Driver Code Starts #include <bits/stdc++.h>using namespace std; // } Driver Code Endsclass Solution { public: // Function to return a path vector consisting of vertex ids from vertex 0 to target vector <int> shortestPath(int V, vector adj[], int target) { // Enter code here! }}; // { Driver Code Starts.int main() { int tc; cin >> tc; while (tc--) { int V, E, target; cin >> V >> E >> target; vector adj[V]; for (int i = 0; i < E; i++) { int u, v; cin >> u >> v; adj[u].push_back(v); // adj[v].push_back(u); } // string s1; // cin>>s1; Solution obj; vector ans = obj. shortestPath(V, adj, target); for (int i = 0; i < ans.size(); i++) { cout << ans[i] << " "; } cout << endl; } return 0;} // } Driver Code Ends Given a directed graph. The task is complete the function vector <int> shortestPath(int V, vector…
- (defmacro mac (start end) `(dfs ,start ,end nil nil)) (defun dfs (current-state goal-state path &optional (solution-found nil)) (cond ((and solution-found (equal current-state goal-state)) (format t "Solution: ~A~%" (reverse path))) ((member current-state path) nil) (t (let ((new-paths (generate-next-states current-state))) (dolist (new-state new-paths) (dfs new-state goal-state (cons current-state path) t)))))) (defun generate-next-states (state) (let* ((m (car state)) (c (cadr state)) (b (caddr state)) (next-states '())) (loop for m-move from 0 to m do (loop for c-move from 0 to c do (when (valid-move m-move c-move m c b) (let* ((new-state (update-state state m-move c-move)) (missionaries-on-left (- m m-move)) (cannibals-on-left (- c c-move))…Implement a Single linked list to store a set of Integer numbers (no duplicate), Using Java Language.• Instance variable• Constructor• Accessor and Update methods 1. Define a Node Class.a. Instance Variables # E element- (generics framework) # Node Next (pointer) - refer to the next node (Self-referential)b. Constructorc. Methods # E getElement() //Return the value of this node. # setElement(E e) // Set value to this node. # Node getNext() //Return the pointer of this node. # setNext(Node n) //Set pointer to this node. # displayNode() //Display information of this node.c)Define a class that implementsa singly linked list with the following methods, assuming that the first node of a linked list is referred to by head:i) A constructor.ii) searchNode that takes asparameter an integer value and returns a reference to the node with that value if it is found,and null otherwise. i)addlnOrder that allows insertion of a node to the linked list such that the list remainssorted in ascendingorder.iv) displayList which displays all the nodes in the linked list.d) Assuming that the class defined in part (c) aboveis used to implement a queueofpositive integers, define the following methods which can be used to implement queueoperations:i) isEmptythat returns true if the queue is empty andfalse otherwise.ii) pop that returns the value of the first node if the linked list is not empty,and -1 otherwise.iii) push that takes as parameteran integer value and adds it to the end of the queue.