Mathematical Algorithms Challenge

An abstract illustration depicting various mathematical algorithms and optimization techniques, featuring symbols like graphs, sorting, and combinatorial structures in a bright, modern style.

Mathematical Algorithms Challenge

Test your knowledge on mathematical algorithms and optimization techniques with this engaging quiz! This quiz consists of 12 multiple-choice questions that will challenge your understanding of various algorithmic concepts.

Key features:

  • Multiple-choice format
  • Diverse topics covering sorting, searching, and combinatorial problems
  • Evaluate your skills and benchmark against peers
12 Questions3 MinutesCreated by SolvingTree521
A method of mathematical proof in which the statement to be proved is split into a finite number of cases or sets of equivalent cases, where each type of case is checked to see if the proposition in question holds.
Brute Force Algorithm
Selection Sort
Bubble Sort
Sequential Sort
Smallest element in the unsorted portion of a list is selected and then swapped with the element at the beginning of the sorted portion of the list
Brute Force Algorithm
Selection Sort
Bubble Sort
Sequential Sort
Compares the adjacent pair of elements of the list and swaps them if they are in the wrong order.
Brute Force Algorithm
Selection Sort
Bubble Sort
Sequential Sort
(sometimes called a linear search) examines a sequence of data objects one by one until a match is encountered (successful search), or the list is exhausted without finding a match (unsuccessful search).
Brute Force Algorithm
Selection Sort
Bubble Sort
Sequential Sort
It is the process of finding the exact copy of pattern/s ๐‘ท๐‘ท with all substrings of a given text ๐‘ป๐‘ป. Those comparisons between substring and pattern proceed character by character unless a mismatch is found. Whenever a mismatch is found, the pattern is shifted one (1) position to the right and comparison is repeated until a match is found or until the end of the text is reached.
Brute Force String Matching
Exhaustive Search
Traveling Salesman Problem
Hamiltonian Circuit
It is a brute-force approach to a combinatorial problem. It essentially generates a list of all potential solutions to the problem systematically, evaluates potential solutions one by one, disqualifies the infeasible ones, and, for an optimization problem, keeps track of the best one found so far.
Brute Force String Matching
Exhaustive Search
Traveling Salesman Problem
Hamiltonian Circuit
Its goal is to find the least expensive or shortest way to visit through a given set of ๐‘›๐‘› cities once and return to the original starting point.
Brute Force String Matching
Exhaustive Search
Traveling Salesman Problem
Hamiltonian Circuit
A path that begins and ends at the same vertex and passes through all other vertices of the graph exactly one time. It is named after the Irish mathematician Sir William Rowan Hamilton
Brute Force String Matching
Exhaustive Search
Traveling Salesman Problem
Hamiltonian Circuit
Requires pairing of ๐‘›๐‘› people to execute ๐‘›๐‘› jobs in such a way that the total cost/profit of the pairings is minimized or maximized.
Assignment problem
Hungarian Method
Example Maximization Problem
Example Minimization Problem
It is also known as Floodโ€™s Technique or Matrix Reduction Method. It is used to find minimum matches in which the time of completion or cost of making all activities by the number of persons is minimized. It was first published by Harold W. Kuhn in 1955.
Assignment problem
Hungarian Method
Example Maximization Problem
Example Minimization Problem
It was based on the earlier work of Hungarian mathematicians Dรฉnes Kรถnig and Jenรถ Egervรกry.
Assignment problem
Hungarian Method
Example Maximization Problem
Example Minimization Problem
Each entity is to be assigned to exactly one (1) task. Each task is to be performed by exactly one (1) entity.
Assignment problem
Hungarian Method
Example Maximization Problem
Example Minimization Problem
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