Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Consider the following functions which both take as arguments three n-element arrays A, B, and C:
СОMPARE-1(A, В, С)
For i =1 to n
For j= 1 to n
If A(i] + C[i] > B[j] Return FALSE
Return TRUE
СOMPARE-2(A, В, С)
aux := A[1] + C[1]
For i = 2 to n
If A[i] + C[i] > aux Then aux := A[i] + C[i]
For j = 1 to n
If aux > B[j] Return FALSE
Return TRUE
(a) When do these two functions return TRUE?
(b) What is the worst-case running time for each function?
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Transcribed Image Text:Consider the following functions which both take as arguments three n-element arrays A, B, and C: СОMPARE-1(A, В, С) For i =1 to n For j= 1 to n If A(i] + C[i] > B[j] Return FALSE Return TRUE СOMPARE-2(A, В, С) aux := A[1] + C[1] For i = 2 to n If A[i] + C[i] > aux Then aux := A[i] + C[i] For j = 1 to n If aux > B[j] Return FALSE Return TRUE (a) When do these two functions return TRUE? (b) What is the worst-case running time for each function?
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