// Here is the Heap sort. Heap sort is a comparison based sorting technique which uses binary heap data structure. It is similar to selection sort where we first find the maximum element and place the maximum element at the end.Here Root node always greater than the child nodes.
#include<stdio.h>
void create(int []);
void down(int [],int);
void main()
{
int ar[50],n,i,lastnode,temp;
printf("Enter the no of elements:");
scanf("%d",&n);
printf("Enter the elements:");
for(i=1;i<=n;i++)
{
scanf("%d",&ar[i]);
}
ar[0]=n;
create(ar);
while(ar[0]>1)
{
lastnode=ar[0];
temp=ar[1];
ar[1]=ar[lastnode];
ar[lastnode]=temp;
ar[0]--;
down(ar,1);
}
printf("Array after sorting:\n");
for(i=1;i<=n;i++)
{
printf("%d ",ar[i]);
} printf("\n");
}
void create(int ar[])
{
int i,n;
n=ar[0];
for(i=n/2;i>=1;i--)
down(ar,i);
}
void down(int ar[],int i)
{
int j,temp,n,flag=1;
n=ar[0];
while(2*i<=n &&
flag==1)
{
j=2*i;
if(j+1<=n
&& ar[j+1]>ar[j])
j=j+1;
if(ar[i]>ar[j])
flag=0;
else
{
temp=ar[i];
ar[i]=ar[j];
ar[j]=temp;
i=j;
}
}
}
//OUTPUT
5. urgent 5 Heaps- 10 points Run heap sort on the following array: (6,4,8,2,5,3,7, 1, 10)
Subject: Algorithm
need this urgent please.
2.1 Searching and Sorting- 5 points each 1. Run Heapsort on the following array: A 17, 3, 9, 4, 2,5, 6, 1,8) 2. Run merge sort on the same array 3. What is the worst case for quick sort? What is the worst case time com- plexity for quick sort and why? Explain what modifications we can make to quick sort to make it run faster, and why this helps.
2.1 Searching and Sorting-...
Sort the following list by heapsort by using the array representation of heaps. 12, 15, 19, 10, 8, 16, 5
Heaps: Show by hand the Insertion of the following into a Max Binary Heap (aka, a Max Heap): 150, 166, 75, 20, 175, 111, 80, 95, 90, 25, 50, 92, 200, 5, 6. Show any steps that involve swapping nodes. Theory here Show the heap you generated in (a) in array form. Array here How could you use a heap to help you efficiently merge many (n> 2) sorted arrays into one sorted array? Theory here
1. Consider the following unordered list: 20, 35, 25, 10, 40, 50, 45. Perform heap sort to sort this list in nondecreasing (ascending) order. a. Perform the bottom-up method to arrange these values into a max heap. Show the heapify operations on each relevant subtree. (10 points) b. Show the tree representation and the array representation of these numbers after every dequeue operation. Remember that dequeue does not delete a number. Dequeue will instead remove that number from the heap...
2.1 Searching and Sorting- 5 points each 1. Run Heapsort on the following array: A (7,3, 9, 4, 2,5, 6, 1,8) 2. Run merge sort on the same array. 3. What is the worst case for quick sort? What is the worst case time com- plexity for quick sort and why? Explain what modifications we can make to quick sort to make it run faster, and why this helps. 4. Gi pseudocode for an algorithm that will solve the following...
In the lectures, we studied binary heaps. A min-Heap can be visualized as a binary tree of height with each node having at most two children with the property that value of a node is at most the value of its children. Such heap containing n elements can be represented (stored) as an array with the property Suppose that you would like to construct a & min Heap: each node has at most& children and the value of a node...
Question 3. a. Draw the binary min heap represented by the following array: (5 points) 1 2 4 6 7 Value 4 9 12 29 17 14 16 b. Show the result of calling deleteMin twice on the heap you drew in part (a). Show the heap after each deleteMin, and circle the final heap. (5 points) c. Starting with the heap you ended up with in part (b), insert values 11 & 2 in that order. Draw the heap...
Implement the following sorting algorithms using Java: a. Heap Sort. b. Quick Sort. c. Radix Sort. Verify the correctness of each implemented algorithm by sorting the following array: 10, 5, 60, 53, 45, 3, 25,37,39,48
Data Structures using C
BuildHeap and Heap Sort In preparation: If you have not done so already, you should complete Worksheet 33 to leam more about the heap data structure. In some applications it is useful to void buildHeap (struct dyArray heap) { initialize a Heap with an existing vector int max = dy Array Size(heap); int i; of values. The values are not assumed for (i = max/2-1; i >= 0; i--) to be organized into a heap, and...
explain briefly
(d) (4%) What kind of heaps is required in heap sort with non-decreasing order? Why? (e) (4%) Consider the single source all destinations problem. Explain why it is required that the graph have no cycles of negative length when negative edge lengths are permitted. (f) (6%) Consider the set representation using trees. If the sets being represented are pairwise disjoint, explain what the collapsing rule is. What scenario is more beneficial for the find operation applying collapsing rule?...