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a) AlgorithmX(n) 1. xfl 2. for i 1 to n² 3. x←max(x,i) 4. for j1 to n² 5. x←max(x.j) 6. return x b) Algorithm Y(n) 1. xl 2. for i 1 to n³ 3. 4. 5. 6. 7. j←I while j

a) AlgorithmX(n) 1. xfl 2. for i 1 to n² 3. x←max(x,i) 4. for j1 to n² 5. x←max(x.j) 6. return x b) Algorithm Y(n) 1. xl 2. for i 1 to n³ 3. 4. 5. 6. 7. j←I while j

Database System Concepts
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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3. Find the running time function of the following algorithms as we learned in the class and then the tightest big-O notation. a) AlgorithmX(n) 1. x=1 2. for il to n² 3. 4. 5. x-max(x,i) for j← 1 to n² x=max(x,j) 6. return x b) Algorithm Y(n) 1. x1 2. for i←1 to n³ 3. 4. 5. 6. 7. j←I while j<n x←max(x, i*j) j← 2*j return x c) AlgorithmZ(n) 1. x←1 2. for i←1 to n² 3. 4. 5. 6. 7. j←I while j<n x←max(x, i*j) j←j+1 return x
Transcribed Image Text:3. Find the running time function of the following algorithms as we learned in the class and then the tightest big-O notation. a) AlgorithmX(n) 1. x=1 2. for il to n² 3. 4. 5. x-max(x,i) for j← 1 to n² x=max(x,j) 6. return x b) Algorithm Y(n) 1. x1 2. for i←1 to n³ 3. 4. 5. 6. 7. j←I while j<n x←max(x, i*j) j← 2*j return x c) AlgorithmZ(n) 1. x←1 2. for i←1 to n² 3. 4. 5. 6. 7. j←I while j<n x←max(x, i*j) j←j+1 return x
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