Question: Data Structures and Abstractions with Java , complete the following: # 1 0 what is the Big Oh of the following computation: int sum =

 

 Data Structures and Abstractions with Java , complete the following:

#10 what is the Big Oh of the following computation:

int sum =  0; for (int counter = n; counter > 0; counter = counter - 2) sum = sum + counter;

Exercise #12 Suppose that your implementation of a particular algorithm appears in Java as follows: for (int pass = 1; pass <= n; pass++) { for (int index = 0; index < n; index++) { for (int count = 1; count < 10; count++){ . . . } // end for }// end for } // end for

Exercise # 24: Consider an array of length n containing unique integers in random order and in the range 1 to n + 1. For example an array of length 5 would contain 5 unique integers selected randomly from the integers 1 through 6. Thus the array might contain 3 6 5 1 4. Of the integers 1 through 6 notice that the 2 was not chosen and is not in the array. Write Java code that finds the integers that does not appear in such an array. Your solution should use O(n^2) operation and O(n) operations

Exercise # 16 Consider two programs A and B. Program A requires 100 xn^2 operations and program B requires 2^n operations. For which values of n will Program A execute faster than Program B?

For each exercise, show your work and all of the steps taken to determine the Big-Oh for each problem. Partial credit cannot be awarded without showing work. Submit all work .

 

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