Match each algorithm below with the tightest asymptotic upper bound for its worst-case running time by inserting one of the letters A, B, C, D, and E into the corresponding box. For sorting algorithms, n is the number of input elements. For matrix algorithms, the input matrix has size n X n. For graph algorithms, the number of vertices is n, and the number of edges is 0(n). Insertion Sort Heapsort Depth-first search (for the adjacency list representation) Floyd-Warshall Strassen's O(n^log7) O(n) O(n logn) O(n^2) ㅇ(n^3) O(1) O(n^4) ㅇ(logn)

Match each algorithm below with the tightest asymptotic upper bound for its worst-case running time by inserting one of the letters A, B, C, D, and E into the corresponding box. For sorting algorithms, n is the number of input elements. For matrix algorithms, the input matrix has size n X n. For graph algorithms, the number of vertices is n, and the number of edges is 0(n). Insertion Sort Heapsort Depth-first search (for the adjacency list representation) Floyd-Warshall Strassen's O(n^log7) O(n) O(n logn) O(n^2) ㅇ(n^3) O(1) O(n^4) ㅇ(logn)

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Counting sort

The counting sort algorithm sorts an array’s contents by counting the repetition of each element that occurs in the array. A counting sort algorithm is a stable algorithm that works the best when the range of elements in the array is small, say for example from 0 to 9. The count which is the number of repetitions of an element in the array is mapped to an index of an auxiliary array, which is then saved in an auxiliary array. The counting sort algorithm has a stable time complexity of the order of O(size of array + size of auxiliary array). Let’s discuss the algorithm in detail as follows.

Question

Match each algorithm below with the tightest asymptotic upper bound for its worst-case running time by
inserting one of the letters A, B, C, D, and E into the corresponding box. For sorting algorithms, n is the number
of input elements. For matrix algorithms, the input matrix has size n X n. For graph algorithms, the number of
vertices is n, and the number of edges is 0(n).
Insertion Sort
Heapsort
Depth-first search (for the adjacency list representation)
Floyd-Warshall
Strassen's
O(n^log7)
O(n)
O(n logn)
O(n^2)
O(n^3)
O(1)
O(n^4)
ㅇ(logn)

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