Freaks City

A – Two Rectangles [Max Area Logic] Given the dimensions of two rectangles: Rectangle 1: (A \times B) Rectangle 2: (C \times D) Determine and output the larger area. Tie-breaking is irrelevant. i64 a, b, c, d; std::cin >> a >> b >> c >> d; i64 r1 = a * b, r2 = c * d; i64 best = (r1 >= r2) ? r1 : r2; std::cout <&l ...

Problem Statement Given an n×m integer matrix and q queries, each query specifies the coordinates of the top-left and bottom-right corners of a submatrix. For each query, compute the sum of all elements within the specified submatrix. Solution Approach The problem can be efficiently solved using 2D prefix sums. By precomputing the cumulative su ...

Linear Operation Segment Trees The most basic form of segment tree handles linear operations that satisfy commutativity and associativity, such as addition. Since operations do not depend on each other, maintaining lazy propagation is straightforward. For single-point modifications, a Fenwick Tree (Binary Indexed Tree) is often a more efficient ...

Problem A: Strategic Allocation This challenge involves selecting a subset of items to meet a weight capacity requirement with the minimum count. The optimal approach utilizes a greedy strategy. By prioritizing larger weights first, we minimize the number of items required to reach the target threshold. void processAllocation() { int itemCo ...

Display the first N+2 digits of π (including the decimal point). #include <iostream> #include <string> const std::string PI_DIGITS = "3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679"; int main() { int digits; std::cin >> digits; std::cout << P ...

1. Prefix Sum Technique 1.1 One-Dimensional Prefix Sum The prefix sum algorithm is an optimization technique used to calculate the sum of elements within a specific range $[L, R]$ in $O(1)$ time after an $O(N)$ preprocessing step. In a naive approach, calculating range sums repeatedly would result in $O(N \times M)$ complexity for $M$ queries; ...

Mathematical Caclulation Problem Given the formula for distance between a point and a line, we can simpliyf the calculation to |x-y| * 50: #include <iostream> #include <cmath> int main() { int x, y; std::cin >> x >> y; std::cout << abs(y - x) * 50 << '\n'; return 0; } String Output Problem S ...

Problem D: DiviDuelo Approach This problem requires number theory analysis and prime factorization techniques. The solution involves categorizing cases based on the prime factorization of the input number. The implementation uses advanced primality testing and factorization algorithms including Miller-Rabin and Pollard's rho method. Implementat ...

Introduction The Chtholly Tree, often referred to as the Old Driver Tree (ODT), is a data structure optimized for specific scenarios involving sequence operations. It is particularly effective when problems feature range assignment operations and randomly generated data. The core principle involves decomposing a sequence into contiguous interva ...

Segment Reconstruction via Monotonic Stacks and Offline Union-Find The problem involves optimizing a linear combination of array elements where each coefficient follows a specific growth pattern. Mathematical induction reveals that the optimal coefficient sequence consists of concatenated blocks starting from index one, with internal values dou ...