Freaks City

Mock Contest Problem 1 Problem Overview Converting the constraints reveals two key requirements for any valid set: Must include the maximum power of each prime factor of n Must contain at least one pair of distinct prime factors Since the number of prime factors is much smaller than log(n), brute force search works effectively. Approach: Incl ...

Splay trees are self-adjusting binary search trees where each accessed node is rotated to the root through a sequence of tree rotations. Although the initial structure satisfies BST ordering, intermediate states may not, yet the in-order traversal remains consistent. Rotation Mechanics Rotations follow the same scheme as Treaps: zig (single rot ...

#include <bits/stdc++.h> using namespace std; class Node { public: int value; Node* next; }; bool initialize(Node*& list) { list = new Node; if (!list) return false; list->next = nullptr; return true; } bool addAtHead(Node*& list, Node* element) { if (!list || !element) return false; element-& ...

Blockchain is a decentralized, tamper-resistant technology for recording data. It consists of a chain of data blocks, where each block contains transaction records and metadata. Every block connects to its predecessor through cryptographic hash functions, forming an ever-growing chain. This article walks through blockchain fundamentals via impl ...

What is a Segment Tree? A segment tree is a binary tree-based advanced data structure that supports flexible range operations. Unlike a Fenwick Tree (Binary Indexed Tree) which is limited to simple point update/range query use cases, segment trees can handle range updates with point queries, and even full range updates with range queries effici ...

Problem Statement Consider the following problem: Find all possible combinations of a, b, and c such that a + b + c = 1000 and a^2 + b^2 = c^2 (where a, b, and c are natural numbers). Initial Attempt import time start_time = time.time() # Note: triple loop for a in range(0, 1001): for b in range(0, 1001): for c in range(0, 1001): ...