Write a Java program and screenshot of the output using Stack class to show the following points: a. Create three empty stacks named stackOne, stackTwo and stack Three respectively. b. Push the numbers [a, b, c, d] "for example [7, 5, 8, 22]" into stackOne and [w, x, y, z] "for example [5, 4, 2, 11]" into stackTwo. (Note: value of the numbers [a,b,c,d, etc] for each of the student should be different) c. Pop the top number of stackOne and top number of stackTwo and add them. Then, push the addition result into stackThree. d. Pop the top number of stackOne and top number of stackTwo and subtract them. Push the result of subtraction into stack Three. e. Print StackOne, stackTwo and stack Three. Print the largest number in stack Three

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Depth First Search

Depth-first search (DFS) also known as Depth First traversal is an algorithm used to traverse or search the nodes in a tree or graph data structure. Traversal usually means visiting all the nodes of a graph. DFS performs in a depth-ward manner. It uses a stack to remember the vertices it has visited. The search starts from the root node, where any arbitrary node is selected as a root node in a graph, and then each node is explored along each branch before performing backtracking. The DFS algorithm uses a recursive technique by following the idea of backtracking. DFS algorithm does this by performing an in-depth search of all the nodes by traversing in a forward direction. If the required node is not found, it starts backtracking to previously visited nodes.