Problem Solving with C++ (10th Edition)
10th Edition
ISBN: 9780134448282
Author: Walter Savitch, Kenrick Mock
Publisher: PEARSON
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Expert Solution & Answer
Chapter 18.3, Problem 17STE
Explanation of Solution
Proving running time “T(N) = aN + b”:
- It is the linear running time.
- It means a running time of “T(N) = aN + b”
- A linear running time is always contains “O(N)” running time.
- From the given question, “N” is always at least “1”. So, user can consider “
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4. Give an analysis of the running time (Big-Oh will do).
sum = 0;
for( i = 0; i < n; ++i )
for( j = 0; j < n * n; ++j )
++sum;
Analyze the following code fragment and provide an asymptotic (Θ) bound on the running time as a function of n. You do not need to give a formal proof, but you should justify your answer.
5. Give an analysis of the running time (Big-Oh will do).
sum = 0;
for( i = 0; i < n; ++i )
for( j = 0; j < i * i; ++j )
for( k = 0; k < j; ++k )
++sum;
Chapter 18 Solutions
Problem Solving with C++ (10th Edition)
Ch. 18.1 - If v is a vector, what does v.begin() return? What...Ch. 18.1 - If p is an iterator for a vector object v, what is...Ch. 18.1 - Suppose v is a vector of ints. Write a for loop...Ch. 18.1 - Suppose the vector v contains the letters 'A',...Ch. 18.1 - Suppose the vector v contains the letters 'A',...Ch. 18.1 - Suppose you want to run the following code, where...Ch. 18.2 - Prob. 7STECh. 18.2 - Prob. 8STECh. 18.2 - Prob. 9STECh. 18.2 - Prob. 10STE
Ch. 18.2 - Prob. 11STECh. 18.2 - Prob. 12STECh. 18.2 - Prob. 13STECh. 18.2 - Prob. 14STECh. 18.2 - Prob. 15STECh. 18.2 - Prob. 16STECh. 18.3 - Prob. 17STECh. 18.3 - Prob. 18STECh. 18.3 - Prob. 19STECh. 18.3 - Suppose v is an object of the class vectorint. Use...Ch. 18.3 - Prob. 21STECh. 18.3 - Can you use the copy template function with vector...Ch. 18.3 - Prob. 23STECh. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Prob. 4PCh. 18 - Write a program that allows the user to enter any...Ch. 18 - Prob. 3PPCh. 18 - Prob. 5PPCh. 18 - Solution to Programming Project 18.6 In this...Ch. 18 - Prob. 7PPCh. 18 - You have collected a file of movie ratings where...Ch. 18 - Prob. 9PPCh. 18 - Prob. 11PPCh. 18 - Write a program that uses regular expressions to...
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Similar questions
- O(nlgn) means that there is function f(n) that is O(nlgn) which is an upper bound for the running time at large n Select one: True Falsearrow_forward7. For n 2 1, in how many out of the n! permutations T = (T(1), 7(2),..., 7 (n)) of the numbers {1, 2, ..., n} the value of 7(i) is either i – 1, or i, or i +1 for all 1 < i < n? Example: The permutation (21354) follows the rules while the permutation (21534) does not because 7(3) = 5. Hint: Find the answer for small n by checking all the permutations and then find the recursive formula depending on the possible values for 1(n).arrow_forwardQ7. The big O bound for the following functions is T(n)= nlogn2+ nlogn OO (log(log n)) OO (nlogn) 00 (n² log n) 00 (n²)arrow_forward
- Plot the following function for -5 ≤ x ≤ 5: y = 1 1+x² The x-values can be generated with x = np.linspace (-5, 5, n), where n refers to the number of x-values generated (you pick a n-value).arrow_forwardWork out the time complexity of the function: Function f(n){ if (n>0{ x=x+1; f(n-1); f(n-1) ; f(n-1)}}arrow_forward4.3-1 Show that the solution of T(n) = T(n − 1) +n is O(n²).arrow_forward
- SIn|; -5arrow_forward7. Prove or disprove: f(n) + g(n) = 0 (min(f(n), g(n)))arrow_forwardQuestion 4: The function T(n) is recursively defined as follows: 1 if n = 1, 고 +. T(n -1) if n> 2. Prove that T(n) = 0(n log n).arrow_forwardQuestion: Design an algorithm for this problem with worst-case runtime of O(n).arrow_forwardsuppose that n is not 2i for any integer i. How would we change the algorithm so that it handles the case when n is odd? I have two solutions: one that modifies the recursive algorithm directly, and one that combines the iterative algorithm and the recursive algorithm. You only need to do one of the two (as long as it works and does not increase the BigOh of the running time.)arrow_forwardOverflows You have learned the concept of overflow (with say n! that overflows at 13! for integer) Now consider Fibonacci numbers this way: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, etc. A Fibonacci sequence f(n) is of the form: f(1) = f(2) = 1, and f(n+2) = f(n) + f(n+1) for n >= 1. 6. Write a Java computer program that prints out Fibonacci numbers in a certain data type from f(1) until f(n) with n an integer you input from the keyboard. 7arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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