5.3 Find a match in the following instance of the Post Correspondence Problem. ab aba abab b a
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- (V, E) be a connected, undirected graph. Let A = V, B = V, and f(u) = neighbours of u. Select all that are true. Let G = a) f: AB is not a function Ob) f: A B is a function but we cannot always apply the Pigeonhole Principle with this A, B Odf: A B is a function but we cannot always apply the extended Pigeonhole Principle with this A, B d) none of the aboveDo it STLLet xHead, yHead and zHead be the head pointers of 3 linked lists of integers (called X-list, Y-list and Z-list, respectively, from here). X-list and Y-list are each sorted (in non-decreasing order) in itself and each may be empty. Z-list is initially empty (i.e., zHead initially contains the null pointer). Develop and test a recursive C++ function called Merge2AscListsRecur that combines the nodes in X-list and Y-list into Z-list such that, after calling the function, Z-list is a sorted list (in non-decreasing order) containing all the nodes initially contained in X-list and Y-list – X-list and Y-list should both be empty after the call. Other specifications/requirements: ● Each node of the list has the following structure: struct Node{ int data; Node *link;}; ● The function should: ► Have only three parameters (each a pointer-to-Node) and no return value (be a void function). ► Not use any global variables or static local…
- Let xHead, yHead and zHead be the head pointers of 3 linked lists of integers (called X-list, Y-list and Z-list, respectively, from here). X-list and Y-list are each sorted (in non-decreasing order) in itself and each may be empty. Z-list is initially empty (i.e., zHead initially contains the null pointer). Develop and test a recursive C++ function called SortedMergeRecur that combines the nodes in X-list and Y-list into Z-list such that, after calling the function, Z-list is a sorted list (in non-decreasing order) containing all the nodes initially contained in X-list and Y-list – X-list and Y-list should both be empty after the call. Other specifications/requirements: ● Each node of the list has the following structure: struct Node{ int data; Node *link;}; ● The function should: ► Have only three parameters (each a pointer-to-Node) and no return value (be a void function). ► Not use any global variables or static local…Q2.2 Derivative of Softmax function Implement a function Dsoftmax(z) such that caluclate the gradient of softmax function. Verify it with several examples.2.
- B1 Write a function NearestPoint (G,v,mylist) which takes as input a networkx object G representing a weighted graph, an object v which will be a node of G, and a list mylist of some other nodes of G. The function should return whichever node in mylist is nearest to v (in the sense of the minimum weight path from v). In the event of a tie, it should return the nearest node which appears earliest in mylist. CORDELIA WEBB UNIVERSITY OF LEEDS, 2023/24 B2 We say that a weighted graph has the Unique Weight Prop- erty (UWP) if no two edges have the same weight. Recall from Workshop 9-10 that if G is connected and has the UWP then it will automatically have a unique spanning tree. Write a func- tion UWP (G) which tests whether or not G has the UWP and returns True or False accordingly. Hint: extract a list of edge-weights and use the count func- tion to see how many times each appears. B3 Write a function GoodPath (G,a,b) which takes as input a net- workx object G representing a connected…CodCan you please help me solve problem 2?
- Note: Do not copy it from internet or else it can result it some unwanted circumstances!11) use the following definition of permutation below: List A is a permutation of list B if any of the following are true: • list A and list B are both null, otherwise a.head-b.head, and a tail is a permutation of b.tail a.head/b.head, and there exists a list C such that o a.tail is a permutation of b.head:c, and b.tail is a permutation of a head:c a) Use induction to prove that any finite list is a permutation of itself-in other words, that the permutation relation is reflexive. b) Using the recursive definition of permutation above, use induction to prove that if list a is a permutation of list b, then list b is a permutation of list a-in other words, that the permutation relation is symmetric.For Sob 22 - write up what the properties of sets, lists, vectors and strings are and whether they are mutable or immutable. Then consider the class of problems that they are best for. Use some code to illustrate your points. e.g. if you have a function that solves a problem using lists, then you can say why you can/can’t use vectors for it or sets etc. Based on dr racket. e.g.