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The input is an N by N matrix of numbers that is already in memory. Each individual row is increasing from left to right. Each individual column is increasing from top to bottom. Give an O(N) worst-case algorithm that decides if a number X is in the matrix.
Illustrate that if you were given a polynomial time algorithm for determining whether two rooted directed acyclic graphs are isomorphic, then polynomial time algorithm for testing.
Write a program that checks if left and right braces, brackets, and parentheses are balanced
create functions for doing sort, search, display, replace, delete, and add. You can use dynamic memory allocation for enlarge the size of pointer array for adding a new country.
Expalin the search algorithm that results from each of the following special cases. How does it relate to other algorithms we have discussed.
Find the shortest path tree from every node to node 1for the graph of following figure using Bellman-Ford and Dijkstra algorithm.
Assume a flash storage device is used instead of disk, and it has seek time of 1 microsecond and transfer rate of 40 MB per second. Recompute the cost of sorting the relation in seconds.
Write the algorithm (described informally) which takes as input NPDA A and determines whether the language of A is nonempty.
Illustrate how tree will expand (after inserting each Part#), and what the final tree would like. (b) Repeat item (a), but use a B-tree of order p = 4 instead of a B+-tree.
Given connected undirected graph G described by the adjacency list representation create the efficient algorithm to find the path in G which goes through exactly once in each direction.
Create a list of major steps to follow to get input, process, and output desired information (software requirements). Refine the list to include individual refined steps (algorithm).
Consider the following algorithm for finding the smallest element in an unsorted array: RANDOMMIN(A[1 .. n]). What is the exact expected number of executions of line ( )?
Illustrate how edge connectivity of undirected graph G = (V, E) can be determined by running maximum-flow algorithm on at most |V| flow networks, each having O(V) vertices and O(E) edges.
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