Implementing the Non-Rotating Treap: Core Mechanics and Advanced Applications

The non-rotating Treap, commonly referred to as the FHQ-Treap, operates without the rotation mechanisms found in traditional Treaps or AVL trees. Its equilibrium is maintained exclusively through deterministic split and merge procedures, combined with randomly assigned priority values. This architecture inherently supports persistent data struc ...

Posted on Sat, 30 May 2026 17:32:50 +0000 by mgs019

Heavy-Light Decomposition Template for Tree Path Queries

The following C++ implementation demonstrates a complete Heavy-Light Decomposition (HLD) framework integrated with a lazy propagation segment tree to support efficient path updates and queries on trees. It passes the standard template problem on Luogu. #include <bits/stdc++.h> using namespace std; using i64 = long long; int MOD; struct ...

Posted on Mon, 18 May 2026 00:02:42 +0000 by swizzer

Finding the Lowest Common Ancestor in Binary Trees

Core Approach1. Base Cases:If the current node is null, return nullIf the current node matches either target, return the current node (a node is its own ancestor)2. Recursive Search:Recursively search the left subtree, storing the resultRecursively search the right subtree, storing the result3. Result Analysis:If both left and right results are ...

Posted on Mon, 11 May 2026 08:08:11 +0000 by enoyhs

Optimized Approaches for Binary Search Tree Diff Calculations and Tree Ancestry Queries

Minimal Absolute Difference in BST Since an in-order traversal of a binary search tree produces a sorted sequence, the smallest absolute difference between any two nodes corresponds to the minimal gap between adjacent elements in this sequence. The strategy involves tracking the previously visited node and comparing its value with the current n ...

Posted on Sat, 09 May 2026 16:35:48 +0000 by hemoglobina