Homework Answers
(a) Recurrence relation
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(b) Solving the above recurrence relation:
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I want you to now remember the following partitioning problem we considered a while ago. You...
(20 points) Recall the following deterministic select algorithm: (a) Divide the n elements into groups of...
(20 points) Recall the following deterministic select algorithm:
(a) Divide the n elements into groups of size 5. So n/5 groups. (b)
Find the median of each group. (c) Find the median x of the n/5
medians by a recursive call to Select. (d) Call Partition with x as
the pivot. (e) Make a recursive call to Select either on the
smaller elements or larger elements (de- pending on the situation);
if the pivot is the answer we are done....
When asked to describe an algorithm you are expected to give a clear pseudo-code description of...
When asked to describe an algorithm you are expected to give a
clear pseudo-code description of the algorithm
1. (10 pts) Here is a new sorting algorithm NewSort Suppose the original call made is NewSort(A,0,n-1) where A is an array integers. == void NewSort(int A[], int i, int j){ \\ sorts the subarray Aſi..j] if (j i+1) \\when there are only 2 elements if (A[i] > A[j]) swap(A,i,j) \\swaps A[i] and A[j] else { int k = (j-i+1)/3; NewSort(A,i,j-k); \\...
problem 2 can use Det-Selection(A, p, q, r) as a sub-routine (i.e, you don't need to...
problem 2
can use Det-Selection(A, p, q, r) as a sub-routine (i.e, you don't need to write its pseudo-code). To sort an array A, you will then call Det-QuickSort(A, 1, n). You also need to provide the worst case time complexity analysis of your algorithm. 2. (20 points) Given a set of n distinct numbers, we wish to find the k largest in sorted order using a comparison-based algorithm. Give an algorithm that implements each of the following methods, and...
python. It is better to use "random" Now we want to analyze how often the tortoise...
python. It is better to use "random"
Now we want to analyze how often the tortoise and hare win or lose the race as we vary the race length. We can wrap the logic of our race simulation in a function and then call it many times to simulate many races. Then, we can collect some statistics to see how likely is it that the tortoise (or hare) wins a race of a given length. Specifically, write a function simulate_race...
Can you please help me with creating this Java Code using the following pseudocode? Make Change C...
Can you please help me with creating this Java Code using the following pseudocode? Make Change Calculator (100 points + 5 ex.cr.) 2019 In this program (closely related to the change calculator done as the prior assignment) you will make “change for a dollar” using the most efficient set of coins possible. In Part A you will give the fewest quarters, dimes, nickels, and pennies possible (i.e., without regard to any ‘limits’ on coin counts), but in Part B you...
(20 points) Recall the following deterministic select algorithm:
(a) Divide the n elements into groups of size 5. So n/5 groups. (b)
Find the median of each group. (c) Find the median x of the n/5
medians by a recursive call to Select. (d) Call Partition with x as
the pivot. (e) Make a recursive call to Select either on the
smaller elements or larger elements (de- pending on the situation);
if the pivot is the answer we are done....
When asked to describe an algorithm you are expected to give a
clear pseudo-code description of the algorithm
1. (10 pts) Here is a new sorting algorithm NewSort Suppose the original call made is NewSort(A,0,n-1) where A is an array integers. == void NewSort(int A[], int i, int j){ \\ sorts the subarray Aſi..j] if (j i+1) \\when there are only 2 elements if (A[i] > A[j]) swap(A,i,j) \\swaps A[i] and A[j] else { int k = (j-i+1)/3; NewSort(A,i,j-k); \\...
problem 2
can use Det-Selection(A, p, q, r) as a sub-routine (i.e, you don't need to write its pseudo-code). To sort an array A, you will then call Det-QuickSort(A, 1, n). You also need to provide the worst case time complexity analysis of your algorithm. 2. (20 points) Given a set of n distinct numbers, we wish to find the k largest in sorted order using a comparison-based algorithm. Give an algorithm that implements each of the following methods, and...
python. It is better to use "random"
Now we want to analyze how often the tortoise and hare win or lose the race as we vary the race length. We can wrap the logic of our race simulation in a function and then call it many times to simulate many races. Then, we can collect some statistics to see how likely is it that the tortoise (or hare) wins a race of a given length. Specifically, write a function simulate_race...
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