What is the run time of the following algorithm?Counting-Sort(A, B, k)let c[0..k] be a new arrayfor i = 0 to kC[i] = 0for j = 1 to A.lengthC[A[j]] = C[A[j]]+1for i=1 to kC[i] = [[i] + [i-1]for j = A.length downto 1B[C[A[j]]] = A[j]C[A[j]] = C[A[j]] - 1О Ө (п 1g n)O O (lg n)O 0 (n)O e (n²)Question 5When the counting-sort algorithm in the previous question completes, B will contain the same elements as A,but in sorted order. Prove the correctness of this algorithm.

Counting-Sort(A, B, k) let [[0..k] be a new array for i = 0 to k [[i] = 0 for j = 1 to A.length C[A[j]] = C[A[j]]+1 %3D for i=1 to k C[i] = C[i] + C[i-1] for j = A.length downto 1 B[C[A[j]]] = A[j] C[A[j]] = C[A[j]] - 1 O O (n lg n) O O (lg n) O 0 (n) O e (n²) Question 5 When the counting-sort algorithm in the previous question completes, B will contain the same elements as A, but in sorted order. Prove the correctness of this algorithm.

Counting-Sort(A, B, k) let [[0..k] be a new array for i = 0 to k [[i] = 0 for j = 1 to A.length C[A[j]] = C[A[j]]+1 %3D for i=1 to k C[i] = C[i] + C[i-1] for j = A.length downto 1 B[C[A[j]]] = A[j] C[A[j]] = C[A[j]] - 1 O O (n lg n) O O (lg n) O 0 (n) O e (n²) Question 5 When the counting-sort algorithm in the previous question completes, B will contain the same elements as A, but in sorted order. Prove the correctness of this algorithm.

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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Question

What is the run time of the following algorithm?
Counting-Sort(A, B, k)
let c[0..k] be a new array
for i = 0 to k
C[i] = 0
for j = 1 to A.length
C[A[j]] = C[A[j]]+1
for i=1 to k
C[i] = [[i] + [i-1]
for j = A.length downto 1
B[C[A[j]]] = A[j]
C[A[j]] = C[A[j]] - 1
О Ө (п 1g n)
O O (lg n)
O 0 (n)
O e (n²)
Question 5
When the counting-sort algorithm in the previous question completes, B will contain the same elements as A,
but in sorted order. Prove the correctness of this algorithm.

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