FHQ Treap: A Non-Rotating Balanced Binary Tree Implementation
Data Structure DefinitionThe FHQ Treap (Fredman, Hendler, and Zhou Treap) relies on a randomized heap priority to maintain balance without requiring complex tree rotations. Each node in the structure maintains essential metadata: pointers to left and right children, the node's value, a random priority weight, and the size of the subtree rooted ...
Posted on Wed, 17 Jun 2026 17:45:38 +0000 by Backara_Drift
Self-Balancing Binary Search Tree Implementations
Self-Balancing Tree Structures
Self-balancing binary search trees maintain logaritmhic height during insertions and deletions. This ensures efficietn search, insertion, and deletion operations. Below are implementations for three common variants: SBT, Treap, and Splay trees.
Size Balanced Tree (SBT)
#include <iostream>
#include <cstdli ...
Posted on Sat, 06 Jun 2026 18:01:49 +0000 by Shaba1
Algorithm Solutions: Path Search, String Ranking, and Knapsack Problems
D - Path Traversal
A straightforward depth-first search approach can solve this traversal problem.
int nodes, edges, max_steps, min_cost, max_cost;
vector<int> valid_endpoints;
vector<pair<int, int>> graph[MAX_NODES];
void traverse(int current_node, int current_cost, int steps_taken) {
if (current_cost > max_cost) retu ...
Posted on Fri, 29 May 2026 19:58:58 +0000 by volant
Implementing Balanced Trees: Rotational vs Non-rotational Treaps
P6136 Enhanced Balanced Tree Template
After struggling with rotational Treaps, I've concluded they're overly complex. FHQ Treaps offer a much cleaner implementation, with roughly half the code size.
Rotational Treap Implementation
Structure and data definitions:
const int INF=1e18;
struct TreeNode {
int left, right;
int value, priority; ...
Posted on Sun, 10 May 2026 18:15:42 +0000 by spaceknop