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a) Given a digraph G = (V,E), prove that if we add a constant k to the length of every arc coming out from the root node r, the shortest path tree remains the same. Do this by usin
Suppose that there is a Beta(2,2) prior distribution on the probability theta that a coin will yield a "head" when spun in a specified manner. The coin is independently spun 10 tim
The Space - Time Trade Off The best algorithm to solve a given problem is one that needs less space in memory and takes less time to complete its implementation. But in practic
Q. Take an array A[20, 10] of your own. Suppose 4 words per memory cell and the base address of array A is 100. Find the address of A[11, 5] supposed row major storage.
Breadth-first search starts at a given vertex h, which is at level 0. In the first stage, we go to all the vertices that are at the distance of one edge away. When we go there, we
A linear list of elements in which deletion can be done from one end (front) and insertion can take place only at the other end (rear) is called as a Queue.
Q. Which sorting algorithm can be easily adaptable for singly linked lists? Explain your answer as well. Ans: The simple Insertion sort is sim
data structure for multiqueue
An interesting application or implementation of trees is the playing of games such as tie-tac-toe, chess, nim, kalam, chess, go etc. We can depict the sequence of possible moves
The time needed to delete a node x from a doubly linked list having n nodes is O (1)
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