Consider the following part of a function (assume n>=1 and m>=1 and n and m are inputs to the function) for (i = 1 to n) for (j - 1 to m) for (k = 1 through 1000) { Task A Task B If Task A requires t time units and Task B requires s time units, then the algorithm requires in the worst case, assuming that t and s are constants. time units to be executed, and therefore it is 1000 * t* s* n units, O(1000 * t* s) 1000 + n+ m +t + s units, O(1000 + n + m+t + s) n'm' t*s units, O(n*m*t*s) 1000*n'm" (t +s) units, O(n*m) O (1000 +m + n) * (t +s) units, O(m + n) m*n units, O(mn)

Consider the following part of a function (assume n>=1 and m>=1 and n and m are inputs to the function) for (i = 1 to n) for (j - 1 to m) for (k = 1 through 1000) { Task A Task B If Task A requires t time units and Task B requires s time units, then the algorithm requires in the worst case, assuming that t and s are constants. time units to be executed, and therefore it is 1000 * t* s* n units, O(1000 * t* s) 1000 + n+ m +t + s units, O(1000 + n + m+t + s) n'm' ts units, O(nmts) 1000n'm" (t +s) units, O(nm) O (1000 +m + n) (t +s) units, O(m + n) mn units, O(mn)

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

Consider the following part of a function (assume n>=1 and m>=1 and n and m are inputs to the function)
for (i = 1 to n)
for (j - 1 to m)
for (k =
1 through 1000) {
Task A
Task B
If Task A requires t time units and Task B requires s time units, then the algorithm requires
_in the worst case, assuming that t and s are constants.
time units to be executed, and therefore it is
1000 * t* s* n units, O(1000 * t* s )
1000 + n + m +t + s units, O(1000 + n+ m +t+ s)
n*m* t*s units, O(n*m*t*s)
1000*n*m* (t +s) units, O(n*m)
O (1000 +m + n) * (t +s) units, O(m + n)
O m'n units, O(mn)

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