How to find lowest common ancestor in binary tree using bottom up recursion [closed]
algorithm,recursion,binary-tree
The algorithm you linked to is reproduced below, in case the link changes: public static Tree findLowestCommonAncestor(Tree root, Tree p, Tree q) { if (root == null) return null; if (root == p || root == q) return root; Tree left = findLowestCommonAncestor(root.left, p, q); Tree right = findLowestCommonAncestor(root.right, p,...
Haskell Defining a Binary Tree
haskell,functional-programming,binary-tree
Infinite data structures can generally be defined by functions which call themselves but have no base case. Usually these functions don't need to pattern match on their arguments. For example, a list equal to [1..] can be written as infiniteList :: [Int] infiniteList = go 1 where go n =...
M-way search tree using binary tree
If you make every node in the tree store a pointer to it's first child and a pointer to it's next sibling then you have a binary tree representation of your m-ary tree.
What is meant by complexity of O(log n)?
algorithm,data-structures,tree,binary-tree,binary-search-tree
I'd call your understanding not quite correct. The big-O notation does not say anything about an exact amount of steps done. A notation O(log n) means that something is approximately proportional to log n, but not neccesarily equal. If you say that the number of steps to search for a...
insertion in a binary tree ( not BST ) not working
Here's the relevant part of your code: void insertNode(NODE *r, int key) { r = newNode; //inserted return; } Your parameter is a copy of the pointer you've passed. The assignment changes that copy, but not the argument to the function. The copy then gets immediately destroyed by the return....
Scala: How to compute the sum of all elements in the leaves of a Binary Tree?
scala,sum,binary-tree,immutability,case-class
Using a List is not a good idea for the reason that when you concatenate two lists, you will have to copy their content so an O(n) complexity operation each time you encounter a Node. If you really want to do it with Lists, you could do it like this:...
Removing leaves from Binary Tree not being represented properly
Using the link: Deleting Leaves From a Binary Tree I have found the errors in my code and corrected them using the answer given in the link. Correct Code as follows: private BinaryNode pruneLeaves (BinaryNode p) { // There is a left child if (p.left != null) if (isLeaf(p.left)) //Is...
Getting NPE when trying write to file using BufferedWriter.What am I doing wrong?
java,nullpointerexception,binary-tree
Your problem is, that you have more than one TreeNode instance, but only the outer one has writer filled. You can see in your stack trace that actually the outer writer was successfuly progressing to line 106, where it calls no.print(). This is another node object. And in this object...
Constructing Binary tree from given inorder and preorder traversals
c++,data-structures,binary-tree
For constructing left subtree range should start from l instead of 0. root->left=ConstructfromPreorderInorder(pre, n, in, l, key, k); instead of root->left=ConstructfromPreorderInorder(pre, n, in, 0, key, k); ...
Skewed Trees relation to Binary Search Tree
data-structures,binary-tree,binary-search-tree
Figured out a skewed Tree is the worst case of a tree. ` The number of permutations of 1, 2, ... n = n! The number of BST Shapes: (1/n+1)(2n!/n!n!) The number of skewed trees of 1, 2, ....n = 2^(n-1) ` Here is an example I was shown: http://i61.tinypic.com/4gji9u.png...
Insert node recursively
java,recursion,binary-tree,nodes
I suppose the problem comes from if (node == null){ root = newNode; } You are traversing the tree and in the last step you are asking the left/right child of a leaf node. This hasn't one, so it's child is null. This is the value returned by the recursive...
How to evaluate the performance of a binary tree implemented via a linked list or an array list?
java,algorithm,tree,linked-list,binary-tree
I'm not sure if I understood correctly, but this is what I thought of. Basically, you can store the nodes in the tree as elements of an array/list. For arrays, think of something like this: public class Node { public int data; public int left; public int right; ... }...
Java Generics: compareTo and “capture#-of ?”
java,generics,binary-tree,comparable
Make your Binary Tree generic like public class BinaryTree<T extends Comparable<T>>{ ... } Whenever creating a BinaryTree instance, specify the containied type: new BinaryTree<MyClass>(); Where MyClass must implement Comparable<MyClass>, i.e. be comparable to Objects of the same class. Your methods would read as (example): public Node lookup(T value) { ......
Maximum width of a Binary Tree using preorder traversal
c++,data-structures,tree,binary-tree,binary-search-tree
The main work is being done in getMaxWidthRecur. It's initially given the parameter level = 0. The level parameter is incremented by 1 whenever we recurse down one level in the tree. The recursion will hit each node in the tree exactly once, and for each node in the tree,...
How to compare two strings for a binary search tree
c,binary-tree,binary-search-tree
First I think you should change strcmp(node->string,char s); And replace it with strcmp(node->string,s); In strcmp if the result is greater than zero then the first argument is greater than the second. So if your if else statement evaluates true then node->string is greater than s. And if strcmp is less...
How to insert strings in BST
c#,oop,data-structures,binary-tree,binary-search-tree
Visit: http://www.kerryr.net/pioneers/ascii2.htm Analyze the decimal equivalent of the alphabets. For example: if you want to compare "leopard" and "cobra". Take first characters of both which are 'l' and 'c', convert them into their decimal equivalent which should be 108 and 99 respectively. Compare them if 1st is greater than 2nd...
Longest path in a binary tree with at most one turn
We can use dynamic programming. Let: d[i] = longest path with at most one turn node such that i is the turn node d_up[i, dir] = longest straight path from i to one of its ancestors coming from direction dir d_down[i, dir] = similarly, except going to descendants. We have:...
Recusively count children nodes in binary tree
java,recursion,binary-tree,nodes
public Node { int data: Node left; Node right; } int countChildren(Node head) { if(head==null) return 0; return ((head.left == null) ? 0 : countChildren(head.left) + 1) + ((head.right == null) ? 0 : countChildren(head.right) + 1); } This is my suggestion....
Method isEmpty for binary tree
You never set self.root; you only rebound p. p is a separate variable, setting it will not set self.root. Without self.root set, your tree remains empty. Note that because None is a singleton, in Python you normally use is to test for the object. You made several other mistakes in...
Space complexity of printing all paths from root to leaf
java,algorithm,binary-tree,complexity-theory,space-complexity
You are storing the all the nodes that lie on the path from the root to a particular leaf in the List. If the binary tree is height balanced or it is a full/complete binary tree, the worst case time and space complexity is O(log n), where n is the...
how to find an node exist or not in binary tree in java?
You have a compile error because you don't always return something : if(root.getLeft()!=null){ search(root.getLeft(), node); } if(root.getRight()!=null){ search(root.getRight(), node); } This would fix the compile error but not the algorithm : if(root.getLeft()!=null){ return search(root.getLeft(), node); } if(root.getRight()!=null){ return search(root.getRight(), node); } This should fix the algorithm : if(root.getLeft()!=null && search(root.getLeft(),...
ArrayList of Array which contains TreeNode
java,arrays,arraylist,tree,binary-tree
The Arrays class is a util class, not the type you'd use for an array. The Arrays class never takes a generic argument, which is what your error is telling you. If you want an ArrayList that contains arrays, then you're probably looking for something like this: ArrayList<TreeNode[]> aList =...
Scala sum binary Tree
If I understand what you want to do is something like case Leaf(v) :: rs => sums(xs, acc+v) ...
Is Red-Black tree balanced
algorithm,tree,binary-tree,red-black-tree
This is fine. Red-black trees are balanced, but not necessarily perfectly. To be precise, properties of red-black tree guarantee that the longest path to the leaf (implicit, not shown in your picture) is at most twice as long as the shortest. Shortest one has length 2 (2 -> 1 ->...
How to make a binary tree balance
c,algorithm,binary-tree,tree-balancing
The basic idea is as follows. For insertions, you first insert your new node at a leaf exactly as you would for a non-balanced tree. Then you work your way up the tree towards the root, making sure that, for each node, the difference in height between the left and...
Rope data structure explanation?
Each node has a weight value equal to the length of its string plus the sum of all leaf nodes' weight in its left subtree... A has no right subtree so its value is the sum of the weights of all the leaf nodes (even if A had a...
Implemetning Tree with Map
java,algorithm,data-structures,hashtable,binary-tree
It looks like you are trying to "fold" adjacency lists into a single hash table. That's possible, but you need to change the type of the element to something capable of holding two integers. The most common approach would be using a TreeNode class: class TreeNode { private final int...
Forced to return into while loop
I think the issue is your recursion. Let's assume a really simple structure. A node with no left or right (both null). First, leafnode is null to begin with. Given the structure we can't go into the if-block. Given the flag==false, we can't go into the while loop. So you'll...
Printing unbalanced binary tree
This is an excellent chance for you to learn how to debug your programs. I suggest you run the program in a debugger and see what the values of node and node->left is when the segfault happens. An access violation is when you are accessing memory that your program is...
convert binary tree to sum tree in Java
I was running wrong tests. Same code logic will work in Java as well as rightly pointed out in comments that pass by value does not make a difference because value is getting returned. The following is the working Java Code: public static int sumTree(TreeNode node){ if(node == null) return...
Binary Tree static methods in Java
java,binary-tree,binary-search-tree,static-methods
From an OOP perspective I believe approach number 2 is the way to go. (Statics are in general often frowned upon in OOP.) As I understand it, the method uses this as root, and then traverses the rest of the tree without calling any instance methods? This isn't too bad...
How to make splay tree with parent and child pointers in lisp
recursion,lisp,common-lisp,binary-tree,binary-search-tree
The infinite recursion probably happens as part of the printing. You can avoid this by: Don't print the circular structure Enable circle-detection in the standard printer: (setf *print-circle* t) ...
To print the boundary of Binary Tree
algorithm,tree,binary-tree,binary-search-tree,graph-algorithm
I guess this should do the trick: traverse(BinaryTree *root) { if (!root) return; cout << p->data << " "; if (root->left ) traverseL(root->left ); //special function for outer left if (root->right) traverseR(root->right); //special function for outer right } traverseL(BinaryTree *p) { cout << p->data << " "; if (root->left )...
Right view of binary tree without using queue in Java
In the spirit of @lifus' answer, but avoiding mutable state, you can use the function return to set maxLevel public static void rightView(TreeNode tNode){ int maxLevel = 0; rViewUtil(tNode, 1,maxLevel); } public static int rViewUtil(TreeNode tNode, int level, int maxLevel){ if(tNode==null) return; if(maxLevel < level){ System.out.print(tNode.value + " "); maxLevel...
How to express the following expression in terms of n? [closed]
Just use the formulars here and here (german text but you only care about the formulars so it should be ok) and you get this: Σk=1,...,n-2 ( Σi=1,...,k i ) = Σk=1,...,n-2(k⋅(k+1)/2) = 1/2⋅Σk=1,...,n-2 k²+k = 1/12⋅(n-2)⋅(n-1)⋅(2n-3) + 1/4⋅(n-2)⋅(n-1) and you can simplify it to 1/6(n-1)³ - 1/6n + 1/6....
Trouble tokenizing for binary tree
Program is 90% correct. Here are your problems: strtok() uses some static buffer. It will always return a pointer to the same region of memory. This is why you feel like your top node changes every time. Just duplicate the parsed strings as well. you forget to initialize the count...
Sorting Binary tree into a sorted array
c++,arrays,binary-tree,binary-search-tree
Do like this... for(i = 0; i < k; i++) cout<<a[i]<<" "; Or like this i=0; while(i<k) { cout<<a[i]<<" "; i++; } The problem in your code is with while(a[k]) ...
How to assign a string passed through a function to a structure member? C programming
c,struct,binary-tree,binary-search-tree
Arrays are not assignable and, by consequence, not implicitly copyable either. Even if they were, newNode -> s = *tempWord tries to assign a single char to an array. You will have to use strncpy (or memcpy) to copy over the array elements....
Root is set null before very insert(int data) function call in testMain.java class like btree.insert(1); and btree.insert(2);
java,recursion,data-structures,binary-tree
TestMain.Java public class TestMain { public static void main(String[] args){ BinaryTree btree = new BinaryTree(); btree.insert(1); System.out.println(btree.getRoot().getData()); } inside BinaryTree: public BTNode getRoot(){ return this.root; } private void insert (int data, BTNode rootParameter){ // your problem is here //case 1: no element in binary tree if (root == null){ //...
Count nodes with specific number of children in a binary tree?
c++,recursion,binary-tree,nodes,children
You can scrunch down your logic and make it a bit more straightforward by implementing a function to return the number of children given a node. template <class elemType> int nodeSize(nodeType<elemType>* node) const { int count = 0; if (node->lLink) ++count; if (node->rLink) ++count; return count; } template <class elemType>...
Binary Tree: List of List to Nodes and Reference with Recursion
python,list,recursion,binary-tree
I think that is because you didn't define the action when l[1] and l[2] are not none. So when you pass the argument to the function, it puts 'a' to the key of root, and find that none of the conditions defined matched, then the function exists without doing any...
How to remove the root of an binary tree in java?
You can't delete your root node because your code is missing an else statement after your inner if / else if / else if statements. That means that you are not covering all cases (tree with a single node is one such case). Right after else if(item.right != null) {...
About pointers to structs and how they works
Pointer points to a memory location. After free() you are giving back the allocated memory back to OS. Accessing this memory is UB(Undefined behavior) So you might see expected result but since you have UB this is not guaranteed at all time. In you case let's say you free the...
Algorithm to print the total sum of all the path
algorithm,recursion,binary-tree,non-recursive
I have find a solution by using recursive /** * recursive */ public List<List<Integer>> pathSum(TreeNode root, int sum) { List<List<Integer>> rst = new ArrayList<List<Integer>>(); helper(rst, new ArrayList<Integer>(), root, sum); return rst; } public void helper(List<List<Integer>> rst, ArrayList<Integer> list, TreeNode root, int sum) { if (root == null) { return; }...
what is a balanced binary tree and how does it differ than a complete one?
A balanced binary tree is one where every leaf is no more than a certain amount further from the root than every other leaf node. For example, an AVL tree is a balanced binary search tree where: Its left and right subtrees are balanced. The difference between the depth of...
Storing a Binary Tree in computer memory
Here's the solution: It was generated from this Python code, using python tree.py | dot -T png a.png data = """ 40 A1 41 00 42 00 43 B2 44 00 45 00 46 D4 47 49 48 00 49 C3 4A 00 4B 00 4C E5 4D 43 4E...
How to populate a file with random numbers?
c++,algorithm,sorting,binary-tree,binary-search-tree
I think the solution to your problem lies in the comment by @Praetorian: You probably want myfile << random_integer << '\n';. Otherwise stoi will throw out_of_range, which is probably the cause of the crash. I have a few generic suggestions regarding your function. Separate your function into two -- one...
trying to insert a node into a tree, but it's not working
You're just assigning new Node(p) to a local variable node, whose value is lost as soon as the function returns. To change the existing tree, your assignment should have the form node.left = new Node(p); or node.right = new Node(p).
Malloc function in C errors with pointers
c,function,pointers,malloc,binary-tree
You set root to NULL: ramo *root=NULL; then pass a copy of it to creaAlbero(): creaAlbero(root, 1); which modifies the copy root = malloc(sizeof(ramo)); then returns. The original root is still NULL, because nothing changed it. Consider returning root from creaAlbero(): ramo * creaAlbero(int n){ printf("%d\n",n); ramo *root = malloc(sizeof(ramo));...
Binary Trees - difference between insert and mirror?
Notice the line: root->left=insert(root->left,val); Here you are assigning the result of insert() to root->left. You need insert() to return a node* pointer here, or else we would have no idea where malloc placed the new node in memory, and so you wouldn't be able to add the node to the...
Trying to identify the goal of an algorithm
c++,algorithm,recursion,tree,binary-tree
I believe the intent is to take two sorted binary trees and combine them into a single sorted binary tree. The key is the comparison if(A->value > B->value). This branch ensures that the A parameter will always contain the lesser value at the point in which the subtrees are merged,...
Find the longest string in a binary string tree python
Assuming you have a tree node class that has a string value attribute, and attributes to store its left and right children, the implementation would be fairly simple: class TreeNode: def __init__(self, val, left=None, right=None): self.val = val self.left = left self.right = right def find_max(node): if (node is None):...
How can I ensure that a method returns a value?
Make the return type void and remove return result. There's no need to return the result object, since it's the same result object that was passed in (the caller already has a reference to it).
Breadth-First-Search in PHP
php,tree,binary-tree,breadth-first-search
I wrote BFS search function myself. I used PHP's SplQueue global variable to store array of children. Private $queue = []; function for BFS public function traverseTree($rootNode, $dummyQueue) { if($rootNode->lft != 0) { $dummyQueue->enqueue($rootNode->lft); } if($rootNode->rgt != 0) { $dummyQueue->enqueue($rootNode->rgt); } if(!($dummyQueue->isEmpty())){ $nextId = $dummyQueue->dequeue(); $nextNode = //get next node...
Find root of minimal height which is not BST
algorithm,data-structures,tree,binary-tree,binary-search-tree
Rather than jumping right into an algorithm that works here, I'd like to give a series of observations that ultimately leads up to a really nice algorithm for this problem. First, suppose that, for each node in the tree, you knew the value of the largest and smallest values in...
Why isn't the z bubbling down in the min heap?
java,algorithm,tree,heap,binary-tree
The issue was the fact that I reset size way too early. Here is the author's implementation of hasLeftChild() private boolean hasLeftChild(int index) { return leftChild(index) <= size; } private int leftChild(int index) { return index * 2; } By setting size to zero, and incrementing it for every pass...
How to copy an object in Scala?
Something like this will copy your Tree: def copyTree(t:Tree):Tree = { t match { case EmptyNode => EmptyNode case Node(left, right, value) => Node(copyTree(left), copyTree(right), value) } } ...
balanced binary tree, order and between operation in O(logn) [closed]
algorithm,data-structures,binary-tree,binary-search-tree,avl-tree
How to find the order of one given element? The order of an element is its rank on the resulting sorted sequence. If assume we store the number of children in the sub-tree, we can assign virtual weigths to edges. Any edge going left weigtht 0. Any edge (x...
C - Binary Search Tree - Print in Order Doesn't Print Anything (Double check my pointers)
Your problem is that your first function takes a Tnode **, that is a pointer to a pointer, and modifies the TNode * it points to. Your second function takes just the pointer, and modifies the passed-in argument; the caller can't see those changes, and so nothing is ever added...
Is it possible to create an ordering for a list of generic elements?
c++,algorithm,data-structures,binary-tree
There is no such feature in C++ (as of 2015, hence including all standards up to C++14). However, Bjarne Stroustrup has written a proposal to add default comparison operators to the standard. What this essentially does is generating a comparison operator for you, in case you don't declare these operators...
inorder method at BinaryTree in Java (array implementation)
java,arrays,binary-tree,inorder
myTree.inorder(0); // parameter : 0 inorder((node * 2)); // node = 0, node * 2 = 0, Therefore, the parameters will continue to be zero is an infinite loop. public class BinaryTree { char[] tree = {'k', 'q', 'r', 'g', 'e', 'i', 'y', 'p', 'l', 'b', 'x', 'm', 'g', 't',...
Unordered Binary Tree Traversal
c++,tree,binary-tree,tree-traversal
Essentially, it's the same answer as your last post. right_old = findoldestn(n->right); left_old = findoldestn(n->left); then figure out the oldest one between left/right and current, and return that value. And that can be put in place with res = (right_old->age > left_old->age ? right_old : left_old); finalRet = (res->age >...
Near perfect self balanced binary search tree?
binary-tree,avl-tree,red-black-tree
I believe AVL Trees actually satisfy your condition. In an AVL tree, the heights of the two child subtrees of any node differ by at most one; if at any time they differ by more than one, rebalancing is done to restore this property. http://en.m.wikipedia.org/wiki/AVL_tree...
why the method doesnt work?
The problem is that the root node is passed to the add method by value and not by reference. Java passes objects by value and not by reference. Check out the link below for further explantion Is Java "pass-by-reference" or "pass-by-value"?. Modify the add methods of your code as follows...
Converting an array into binary tree using C?
There are several issues here: Your node allocation should go inside the conditional block in insert, otherwise you allocate memory for null nodes. You should initialise the left and right pointers to NULL in case the node is a leaf node and has no children. Most important. You changes to...
Why can't I use a “break” statement inside a ternary conditional statement in C++?
c++,data-structures,binary-tree,ternary-operator
The ternary conditional operator is an operator that combines multiple expressions into a larger expression. break is a statement and not an expression, so it can't be used inside a ternary conditional expression. You could, though, rewrite your code like this: while (current->left != nullptr) current = current->left; Hope this...
Using Diagrams library in haskell (draw binary trees)
haskell,recursion,tree,functional-programming,binary-tree
I think the problem is you're naming giving the inner nodes the same names so connectOutside connects the first names it finds (which happen to be the last nodes in your tree). You can solve this by giving each node a unique name depending on its position: diagTree :: Show...
How to convert a Ternary expression to a Binary tree structure?
binary-tree,ternary-operator,data-conversion
I came up with something like this using trees. Not tested thoroughly: When I see a '?', it's my left child, so add to my left and go left. If I see ':', then: Go to my parent If right is not null and parent is not not null, keep...
What's wrong with my isElement function (binary tree)?
There is a mistake in the definition of your isElement function: you're calling leftTree twice, instead of calling both leftTree and rightTree. As a result, right subtrees are never explored. Amend the code accordingly, isElement tree t |isNode tree == False = False | nodeValue(tree) == t = True |...
Binary Search Tree Insert Not Functioning Correctly in C (possibly an ignorant error)
First answer is right, but you always can use pointer to pointer, something like this. typedef struct Node { Node() { left = NULL; right = NULL; data = NULL; } struct Node* left; struct Node* right; char* data; } node; typedef struct BSP { BSP() { root = NULL;...
Given a binary tree, design an algorithm which creates a linked list of all the nodes at each depth
c++,linked-list,binary-tree,levels
Here is the solution of above problem. I am putting the complete code. #include <iostream> #include <list> using namespace std; struct Node{ Node *left; Node *right; int data; Node(int d) { left = NULL; right = NULL; data =d; } }; class Binary_Tree{ Node *root; list<list<Node*> > level(Node*); public: Binary_Tree()...
Error while inserting element into binary search tree
c++,binary-tree,binary-search-tree
Tree *tree(int *a, int left, int right) { Tree *tree1 = new Tree; tree1->right_son = nullptr tree1->left_son = nullptr Or you could do same in the struct Tree by adding a contructor to the struct. ...
Get top 10 and last 10 from a million records
java,binary-tree,binary-search-tree,priority-queue
Top hit algorithms use a min-heap (PriorityQueue in Java), but there should be some size checking in your algorithm. Suppose each item has a score, and you want to collect the 10 items with the highest score. PriorityQueue efficiently exposes the item with the lowest score: PriorityQueue<DataObject> top = new...
What is the most efficient way to build an unsorted binary tree in java?
public class BinaryTree{ private BinaryTree right; private BinaryTree left; private String data; public BinaryTree(String s){ data = s; right = null; left = null; } public void setLeft (BinaryTree l){ left = l; } public void setRight(BinaryTree r){ right = r; } } Your question suggests that the tree should...
Adding a new branch to a tree then adding the new leaf to the right place in a linked list in an efficient way
Yes there is, but it will also require adding some more data to treeNode, a pointer to the list node (if such exist). Now, the idea is once you have found where to add the new node (v), and let's say it is a son of some node u. You...
Output heap as tree PHP
php,data-structures,binary-tree,binary-heap
I think the error in your check: if ($key != count($heap)) { echo $heap[$key*2+1]; echo $heap[$key*2+2]; } Here may be a situation with $key*2+2 is out of bounds the array. Add the check for it too. Try to use bool array_key_exists ( mixed $key , array $array ), something like...
Making a very basic binary tree in Scala
Not with immutable case classes. It is a circular dependency: you need the parent to create the children, but you also need the children to create the parent. On the other hand most tree traversal algorithms don't really need the parent as the parent is usually on the stack...
Finding saddle point in a binary tree using recursion
algorithm,recursion,binary-tree
Write a function find_saddle that takes a node, and the minimum value of the parents (defaulting to INT_MAX for the root node). It will return the value of the largest child. When the function is called, it figures out the largest value a child can have and potentially be a...
Why does binary search tree tend to become unbalanced to the right?
java,algorithm,binary,binary-tree,binary-search-tree
Don't overthink it. It's simply because of the remove operation which always goes to the far left element and removes it. After several of these operations, you would end up with the tree being "heavier" to the right of the tree, regardless of root node or anything else. Even if...
NullPointerException when object is initialized in another method
java,nullpointerexception,binary-tree
The root cause is that in Java arguments are passed by value, which means, when you pass a (reference to) node n as an argument, you're actually passing a copy of the reference to that node, which is null at that time. Since you're changing the copy-reference, nothing is really...
Is there link between the number of possible binary trees as a function of the tree's height?
algorithm,data-structures,binary-tree
You appear to be looking for integer sequence A001699, "Number of binary trees of height n". One possible algorithm to generate them being: a(n+1) = 2*a(n)*(a(0)+...+a(n-1))+a(n)^2 Unfortunately, there doesn't seem to be a closed-form version. Each formula is itself recursive, or uses A003095, which is also recursive....
Exercise review Trees binary c++
algorithm,binary-tree,tree-traversal
This is the first algorithm that comes to mind. Assuming that you have an array that stores the values in nodes node_value[NODE_NUM], where NODE_NUM is the number of nodes in your tree, and you store index of childs of each node with the arrays left[NODE_NUM] and right[NODE_NUM], and your root...
Binary Tree in C++
The problem is that you pass a copy of a pointer to a read_tree function. That is, when you call read_tree(r) in the main function, r remains NULL regardless of what happens inside the read_tree function. You can fix it by passing a pointer by reference. That is, changing read_tree(Nod*...
Generic C for binary trees
c,generics,search,binary-tree,binary-search-tree
Here is an example of a generic tree destroy: // GenericTree.h void genericTreeDestroy(void *treeNode, void (*fUserFree)(void *)); // GenericTree.c typedef struct TREE_NODE { struct TREE_NODE *left; struct TREE_NODE *right; }; void genericTreeDestroy(struct TREE_NODE *treeNode, void (*fUserFree)(void *)) { if (treeNode->left) genericTreeDestroy(treeNode->left, fUserFree); if (treeNode->right) genericTreeDestroy(treeNode->right, fUserFree); if (fUserFree) fUserFree(treeNode); free(treeNode);...
How many possible combinations of numbers make the same binary tree
python,algorithm,recursion,binary-tree,combinations
Building on ideas above....Here is python generator code to produce all equivalent orderings. import collections Node = collections.namedtuple('Node', ('root','left', 'right')) def tree_from_list(lst): if not lst: return None root = lst[0] left_lst = [x for x in lst if x > root] right_lst = [x for x in lst if x...
How to free allocated memory in a binary tree in C
c,tree,malloc,binary-tree,free
There is confusion here: // Definition of a tree struct Tree { NodeP root; }Tree; // Definition of a node struct Node { int data; NodeP L, R; }Node; The definitions above define variables, not types! There is a bug here: TreeP newTree() { TreeP tree = (TreeP) malloc(sizeof(TreeP)); tree->root...
Prefix math expressions array to parse tree - recursion to move with array
c,parsing,recursion,tree,binary-tree
The problem is that you need the recursive call to return both the newly created node and the updated input pointer. There are various ways of doing this, but the easiest one in C is to pass the input pointer by reference; or, in other words, pass a pointer to...
Binary Tree Size function in Python
if self.left is None or self.right is None: if one of them is None, return 0 you need to at least get the size of the right + 1 if left is None I think you need something like : leftSize = self.left.size() if self.left else 0 rightSize = self.right.size()...
Tracing through a Binary Tree
java,binary-tree,binary-search-tree
Perhaps the picture will help. I find recursion difficult as well, and I've found pictures useful. It might be nice to open the diagram in a separate window and have the explanation on the side. First of all, recursion uses something called a stack. It's the pile of four...
Function that return average depth of a binary search tree
c,algorithm,tree,binary,binary-tree
You should be doing something like: int total_depth(tree_t *tree, int accum) { if (tree == NULL) { return 0; } return accum + total_depth(tree->left, accum + 1) + total_depth(tree->right, accum + 1); } total_depth(root, 0); ...
Why is add in unbalanced Binary Search Tree O(n)?
java,algorithm,data-structures,binary-tree,binary-search-tree
With an unbalanced tree: 1 \ 2 \ 3 \ 4 \ 5 \ ... Your intuition of cutting the tree in half with each operation no longer applies. This unbalanced tree is the worst case of an unbalanced binary search tree. To search for 10 at the bottom of...
How does inorder+preorder construct unique binary tree?
algorithm,data-structures,binary-tree,inorder,preorder
Start with the preorder traversal. Either it is empty, in which case you are done, or it has a first element, r0, the root of the tree. Now search the inorder traversal for r0. The left subtree will all come before that point and the right subtree will all come...
How to solve Subtree Isomorphism using maximum bipartite matching?
I'm going to talk about rooted subtree isomorphism; the unrooted case can be handled without regard to efficiency by trying all roots. The basic idea is that if you have trees A B /|\ /|\ / | \ / | \ / | \ / | \ a1 ... am...
Calculator Algorithm - Using Iteration instead of Recursion on Binary Search Tree
java,algorithm,recursion,binary-tree
As I mentioned in my comment above, if you did an iterative post-order traversal, you'd get nodes in the order: 3, 4, *, 4, 2, /, +. From this, you'd simply need a stack to evaluate the expression. Push 3 Push 4 Push (pop() * pop()) Push 4 Push 2...
Is it possible to uniquely reconstruct a binary tree with just inorder traversal with null makers?
A C / \ / \ B C A D \ / D B It seems these trees both gives: null, B, null, A, null C, null D, null. But it's possible to save a binary tree of depth N in array of size 2N-1. A C / \...
C binary tree sort - extending it
c,binary-tree,binary-search-tree
a sample to modify like as void inorder ( struct btreenode *, int ** ) ; int* sort(int *array, int arr_size) { struct btreenode *bt = NULL; int i, *p = array; for ( i = 0 ; i < arr_size ; i++ ) insert ( &bt, array[i] ) ;...
Binary search tree largest value
python,binary-tree,binary-search-tree
Your analysis is correct, the sample solution checks for None twice for each node and your solution checks only once, otherwise they are equivalent. I’d also say that your solution is more readable, but that’s somewhat subjective. As an enhancement, you can get rid of the first line in the...