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(5 points) Let T be a binary tree with n nodes. It is realized with an implement

ID: 3910550 • Letter: #

Question

(5 points) Let T be a binary tree with n nodes. It is realized with an implementation of the Binary Tree ADT that has O(1) running time for all methods except positions() and elements(), which have O(n) rnning time. Give the pseudocode for a O(n) time algorithm that uses the methods of the p given in Section 2.3.4. This traversal is known as the level order traversal. Assume the existence of an O(1) time visit(v) method (it should get called once on each vertex of T during the execution of your algorithm)

Explanation / Answer

LevelOrder(tree){
   for depth = 1 to height of the tree
           forGivenLevel(tree,depth)
}
          
forGivenLevel(tree, depth){
   if tree is NULL
           return
   if depth == 1
           display tree->data
   else if depth is greater than 1
           forGivenLevel(tree->left,depth-1)
           forGivenLevel(tree->right,depth-1)
}