Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Step 1
T(n) = 2(2T(n-2) + 4) + 4
= 2(2(2T(n-3) + 4) + 4) + 4
= 2(2(2(2T(n-4) + 4) + 4) + 4) + 4
= ...
= 2^n T(0) + 4(2^(n-1) + 2^(n-2) + ... + 1)
= 2^n + (2^n - 1)4
= O(2^n)
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