Freaks City

The problem involves selecting a subset of computers and fulfilling orders to maximize profit, under constraints on core count and clock frequency. Each computer provides a certain number of cores at a cost and has a minimum required clock frequency. Each order yields revenue but requires a specific number of cores and can only be processed on ...

Calculating Paths in Dynamic Graphs To determine the total number of simple paths in a Directed Acyclic Graph (DAG), we analyze the in-degrees and out-degrees. Let $fwd_dp[i]$ be the number of paths ending at node $i$. This can be computed using topological sorting. The total number of paths in the original graph is $\sum fwd_dp[i]$ for all nod ...

A - First ABC Solution We can track the first appearence of each character using boolean flags. By iterating through the string, we can determine the earliest position where all three required characters have been encountered. #include <iostream> #include <string> using namespace std; int main() { int length; string input; ...

Problem Overview This problem can be solved efficiently using interval dynamic programming. Given a string, the goal is to determine the minimum number of operations required to paint the entire string, where each operation can paint any contiguous segment. Dynamic Programming Formulation Define dp[l][r] as the minimum number of steps needed to ...

2023 Edition Day 1 G. Constructing an MST with Product Weights (Easy) We are given a sequence (a) (with (|a_i| \le 10^6)), and we must build an undirected graph on (n) vertices ((n \le 2\cdot 10^5)) where the weight of edge ((i,j)) equals (a_i a_j). The goal is to compute the weight of the minimum spanning tree. First, sort (a); this has no eff ...

Greedy algorithms represent a straightforward approach to problem-solving where, at each stage, the algorithm makes a locally optimal choice with the expectation that this choice will lead to a globally optimal solution. This strategy is particularly effective for problems exhibiting optimal substructure. However, it's crucial to recognize that ...

Competition Details Duration: 3 hours Start Time: 2026/1/30 8:00 End Time: 2026/1/30 11:00 Difficulty Level: High Final Score: 340 Lost Points: 60 Problem Set Problem 1: Element Removal Sum Description Given a sequence of integers A of length N and an integer M, determine if it's possible to remove exactly one element from A such that the ...

153. Minimum in Rotated Sorted Array Approach A rotated sorted array is formed by shifting elements from the end to the beginning. For instance, rotating [0,1,2,4,5,6,7] four times yields [4,5,6,7,0,1,2]. To find the minimum element efficiently, use binary search. Compare the middle element with the rightmost element: If arr[mid] < arr[righ ...

Given an integer x, construct a y < x such that gcd(x, y) = x ⊕ y (bitwise XOR). The solution is to take y = x - lowestSetBit(x). If x is a power of 2, then no solution exists. #include<iostream> #include<cmath> using namespace std; using ll = long long; void solve() { ll x; cin >> x; ll lowest_bit = x & ...

Expected value is a fundamental concept in probability theory and statistics, used to describe the average or central tendency of data. In computer algorithm competitions, expected value algorithms are considered medium to advanced level, playing a crucial role in programming. In recent years, problems involving expectations and expectation dyn ...