Freaks City

Permutations This article demonstrates a method for generating all permutations of a set of numbers using depth-first search (DFS). #include <iostream> #include <vector> #include <algorithm> using namespace std; const int MAX_SIZE = 100010; int size, sequence[MAX_SIZE]; bool visited[MAX_SIZE]; void generatePermutations(int ...

Course Registration Query Using Vector ArraysWhen handling dynamic data where the number of items per entity varies, std::vector provides an ideal solution. Consider a scenario where we need to maintain course enrollment records and retrieve a specific student's course list on demand.Problem AnalysisThe input provides course information includi ...

Problem A: Two Friends There are two possible scenarios: There exists a pair where person A's best friend is B, and B's best friend is A. In this case, just inviting these two individuals suffices. No such mutual friendship exists. If person A's best friend is B, and B's best friend is C, then inviting A, B, and C ensures both A and B attend. ...

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 ...

Given a completed 9×9 Sudoku grid, the task requires preserving some digits (minimum one) while replacing others with mines. The condition is that each remaining digit must equal the count of adjacent mines in its 8 surrounding cells. Solution Approach Identify any non-edge cell containing '8' and convert all other cells to mines. This satisfie ...

This problem involves finding the shrotest path in a graph where certain edges are temporarily closed. The graph has $N$ nodes and $M$ edges, with $N \le 1000$ and $M \le 10000$. Given the constraints, an adjacency matrix is a suitable choice for representing the graph. We need to determine the optimal travel time for a character, let's call th ...

Merge two ascending sorted linked lists into a new sorted linked list. The new list is constructed by splicing together all nodes from the two input linked lists. Example 1: Input: l1 = [1,2,4], l2 = [1,3,4] Output: [1,1,2,3,4,4] Example 2: Input: l1 = [], l2 = [0] Output: [0] class Solution: def mergeTwoLists(self, list1: ListNode, list ...

In a programming team competition, each team consists of multiple members who compete individually. The team's total score is the sum of all its members' scores, and the team with the highest total wins. Given the scores of all participants, write a program to identify the champion team. Input Format The first line provides a positive integer N ...

Given three buckets with capacities and initial milk amounts, perform 100 pouring operations in cyclic order (1→2, 2→3, 3→1, repeat). When pouring from bucket a to bucket b, transfer as much milk as possible until either bucket a is empty or bucket b is full. Input Format Line 1: Two integers c1, m1 (capacity and milk amount of bucket 1) Line ...

Basic Principles of Time Complexity Calculation Elementary operations are considered constant time, denoted as O(1) Sequential structures combine time complexities through addition Loops multiply time complexities Branching structures take the maximum complexity among branhces When analyzing an algorithm's efficiency, focus primarily on the hi ...