A collection of Tree Programming Interview Questions Solved by Dr Antonio Gulli

By Dr Antonio Gulli

Programming interviews in C++ approximately timber

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R2) return false; return (r1->v__ == r2->v__ && structIdentical(r1->left, r2->left) && structIdentical(r1->right, r2->right)); } Complexity Time complexity is and space complexity is . 8 Printing all the paths in a binary tree Solution A solution can be provided by recursion. The idea is to keep a vector passing during recursion, while every node is pushed_back() to . Every time we reach a leaf, the vector is printed. end(); it++) std::cout << " v=" << *it; std::cout << std::endl; } else { printAllPaths(root->left, path); printAllPaths(root->right, path); } } Complexity Time complexity is and space complexity is .

0) { t->next_[k] = x->next_[k]; // remove // can delete if (k == 0) { // no more links in level delete x; return; } // try to remove one level below remove_all__(t, k - 1); } // x->key_ >= key // try to remove in the same level remove_all__(t->next_[k], k); } // search a key, given a link and the current level Tval search__(link t, const Tkey key, num k) const { #ifdef DEBUG std::cerr << "search__ " << t << " key=" << key << " level=" << k << std::endl; #endif if (t == 0) // search failed return default_val_; #ifdef DEBUG std::cerr << "key =" << key << " val = " << t->val_ << std::endl; #endif if (key == t->key_) // search success return t->val_; link x = t->next_[k]; // link to the next level if ((x == 0) || // null?

17 Implementing deleteNode in a BST Solution The code deleteNode() starts by finding the key to delete in the tree. If there is no key, the algorithm returns. Otherwise there are two different cases: If the node is internal, deleteNode() finds the maximum key in the left subtree rooted to the node, where the key has been found. This maximum key replaces the searched key, which is therefore removed. Then the maximum is deleted by the left subtree. If the node is external and there is one chil (either on the left or on right side) then the child replaces the father.

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