You are given a graph G with n vertices and m edges, and a minimum spanning tree T of the graph. Suppose one of the edge weights w(e) of the graph is updated. Give an algorithm that runs in time O(m) to test if T still remains the minimum spanning tree of the graph. You may assume that all edge weights are distinct both before and after the update. HINT: If e ∈ T, consider the cut obtained by deleting e from T. If e /∈ T, consider the cycle formed by adding e to T

Assume the existence of a bankaccount class. define a derived class, savingsaccount that contains two instance variables: the first a double, named interestrate, and the second an integer named interesttype. the value of the interesttype variable can be 1 for simple interest and 2 for compound interest. there is also a constructor that accepts two parameters: a double that is used to initialize the interestrate variable, and a string that you may assume will contain either "simple", or "compound", and which should be used to initialize the interesttype variable appropriately. there should also be a pair of functions getinterestrate and getinteresttype that return the values of the corresponding data members (as double and int respectively).

Stops: using the information learned in this course, explain three things you will not do when driving. a. b. c. explain why you will not do these things when driving. starts: using the information learned in this course, explain three things you will do when driving. a. b. c. explain why you will do these particular things when driving. explain one thing you will stop doing as a passenger. explain one thing you will start doing as a passenger.

Pressing the backspace key deletes the text to the of the insertion point. the left or the right?