Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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- Give the time complexity for the following algorithm. You need to identify the basic operation first. F(int n) { if (n>1) Return F(n/3)+F(n/3)+5; else return 1; } 1) What is the basic operation? 2) Set up the recurrence. Let T(n) be the # of basic operations 3) Solve the recurrence using the Master theoremarrow_forwardWhat is the time complexity T(n) and the Big-Oh notation of the following programs in terms of n? If you cannot simplify the summation just keep it as is please type the ans with clear explanation a) for (i = 0; i <= 2*n; i ++) { for (j = 0; j < 2*n – 3*i; j+=5) { sum += i + j; } } b) for (i = 5; i < n; i *= 3) { for (j = 0; j < i+7; j *= 2) { // 5 statements; } } c) for (i = 1; i <= n; i += 2) { for (j = 1; j <= i; j++) { // 3 statements; if (i % 2 == 1) { // 2 statements } } }arrow_forwardExercise: List the following functions by increasing order of growth. Here are the functions: f.(n) = n" f2(n) = n" f3(n) = (;) f4(n) = V2vn fs(n) = („",) fo(n) = 20ogn)* f;(n) = n5(log n)² f3 (n) = n* (")arrow_forward
- Find the space complexity of the following code fib(int n) { if (n <= 1) return n; return fib(n-1) + fib(n-2); }arrow_forwardII. Determine the big-O measure for each of the functions in the lower table. Choose from the various big-O measures in the upper table. A. O(1) G. O(Y) M. O(Y¹6) S. O(N log N) Y. O(W!) EE. O(X³Y) B. O(X) H. O(log Y) N. O(Z) T. O(N²) Z. O(67W) C. O(log X) I. O(Y log Y) O. 0(Z²) U. O(N²log N) AA. O(V) D. O(X log X) J. O(Y²) P. O(Z³) V. O(W³) BB. O(VV) E. O(X²) K. O(Y³) Q. O(log N) W. O(W⁹) CC. O(25¹) F. O(X³) L. O(Y¹5) R. O(N) X. O(9W) DD. O(XY)arrow_forwardBottom: Given b, set the low-order b bits of x to 1; the others to 0. For example, if b is 3, x should be 7. Pay special attention to the edge cases: if b is 32 x should be −1; if b is 0 x should be 0. Do not use - in your solution. Write code in Java. Provided input(s): b Permitted: 40 operations (may use !, ~, +, <<, >>, &, ^, |) Hint: The obvious solution ~(0xFFFFFFFF << b) won’t work. Bit shifts always do a modulo on their right-hand operand, so a << b does the same thing as a << (b % (8*sizeof(a)). Thus, << 32 and << 0 do the same thing.arrow_forward
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