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I'm trying to understand how both of these algorithms, separated by a) and b), have a time complexity of O(n), could you explain how this is?  a) int i = 0; while (i < n) {  ...  i++; } for(int j = 3; j < n * n; j += n) {  ... } int k = 1; while (k < n) {  ...  k *= 2; } b) for(int i = 1; i < n; i += 3) {  for(int j = 3; j < 10; j++) {  for(int k = 5; k < n; k += n) {  ...  }  } }

I'm trying to understand how both of these algorithms, separated by a) and b), have a time complexity of O(n), could you explain how this is?  a) int i = 0; while (i < n) {  ...  i++; } for(int j = 3; j < n * n; j += n) {  ... } int k = 1; while (k < n) {  ...  k *= 2; } b) for(int i = 1; i < n; i += 3) {  for(int j = 3; j < 10; j++) {  for(int k = 5; k < n; k += n) {  ...  }  } }

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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I'm trying to understand how both of these algorithms, separated by a) and b), have a time complexity of O(n), could you explain how this is? 

a)
int i = 0;
while (i < n) {
 ...
 i++;
}
for(int j = 3; j < n * n; j += n) {
 ...
}
int k = 1;
while (k < n) {
 ...
 k *= 2;
}


b)
for(int i = 1; i < n; i += 3) {
 for(int j = 3; j < 10; j++) {
 for(int k = 5; k < n; k += n) {
 ...
 }
 }
}

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