What are the running times of the following four loops? Briefly justify your answers. (in all cases, assume that n is sufficiently large if it needs to be assumed for the problem to make sense). 1) for (int i = 0; i < n*n; i++) { sum += i; } 2) for (int i = 0; i*i < n; i++) { sum += i; } 3) for (int i = n*n; i > 1; i /= 2) { if (i > 16) { sum += i; } } 4) for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { for (int k = j+1; k < n; k++) { sum += i*j*k;
What are the running times of the following four loops? Briefly justify your answers. (in all cases, assume that n is sufficiently large if it needs to be assumed for the problem to make sense). 1) for (int i = 0; i < n*n; i++) { sum += i; } 2) for (int i = 0; i*i < n; i++) { sum += i; } 3) for (int i = n*n; i > 1; i /= 2) { if (i > 16) { sum += i; } } 4) for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { for (int k = j+1; k < n; k++) { sum += i*j*k;
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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What are the running times of the following four loops? Briefly justify your answers. (in all cases, assume that n is sufficiently large if it needs to be assumed for the problem to make sense).
1) for (int i = 0; i < n*n; i++) {
sum += i;
}
2) for (int i = 0; i*i < n; i++) {
sum += i;
}
3) for (int i = n*n; i > 1; i /= 2) {
if (i > 16) {
sum += i;
}
}
4) for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
for (int k = j+1; k < n; k++) {
sum += i*j*k;
}
}
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