c109f03t1 - CSE 109 Test 1 Wednesday 1 October 2003...

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CSE 109 Test 1 Wednesday 1 October 2003 >>>>>>>>>>>>>>>>>>SUGGESTED ANSWERS<<<<<<<<<<<<<<<<<<<<<<<<<<,, 1. Assume that your function height(Node *rt) from programming assignment #1 works properly, returning -1 when rt==NULL and returning the height of the tree of which rt is the root node otherwise. Write the declaration and definition of a member function, balanced(), which returns true if and only if the tree is balanced. You may also want to define some other member function(s) that balance() calls. A tree is balanced if for every node the difference between the heights of the two children is -1, 0, or 1. Code using this function would look like: Tree a; .... .... if(a.balanced()) ..... ------------------------------ bool balanced(); bool balanced(Node *rt); b bool Tree::balanced() {return balanced(root);} { bool Tree::balanced(Node *rt) {int diff; if(rt==NULL) return true; diff=height(rt->child[Node::LEFT])-height(r->child[Node::RIGHT]); return diff>=-1 && diff<=1 && balanced(rt->child[Node::LEFT]) && balanced(rt->child[Node::RIGHT]); } ------------------------------ 2. Write a program whose only purpose is to display "good" when all the files
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