# Monthly Archives: June 2017

## Heap Sort

Steps:
If we want to sort in ascending then we create a min heap
If we want to create in descending then we create in max heap

Once the heap is created we delete the root node from heap and put the last node in the root position and repeat the steps till we have covered all the elements.
For ascending order:
1. Build Heap
2. Transform the heap into min heap
3. Delete the root node

pseudocode:

Implemented code:

output:

Complexity Analysis:
Time Complexity for MaxHeapify: O(logn)
Complexity for BuildHeap: O(n)
Complexity of heapSort:
Worst, Avergae, Base case: O(n*logn)
It is inplace algorithm.
Space Complexity: O(1)

## Merge Sort

Algorithm Video:

Merge Sort Combines Two Sorted file in a large bigger sorted files:
This Merge sort happens in a two steps:

This sorting is a example of divide and conquer approach:
1. Selection: Splits a list into two lists (This process is recursive approach)
2. Merging: It joins two list in a one list (It follows the pesudocode in itertive manner)

Pseudocode:

Implementation:
code with extra malloc declaration:

code by me without  extra malloc:

output:

Analysis of Running Time Complexity:

Worst case, Best case, Avergae case: Theta(nlogn)
Space Complexity: Theta(n)

This link can help to solve problems:
https://gist.github.com/mycodeschool/9678029
https://www.hackerearth.com/practice/algorithms/sorting/merge-sort/tutorial/

http://www.sanfoundry.com/cpp-program-implement-merge-sort/

## Merge Sort

Algorithm Video:

Merge Sort Combines Two Sorted file in a large bigger sorted files:
This Merge sort happens in a two steps:

This sorting is a example of divide and conquer approach:
1. Selection: Splits a list into two lists (This process is recursive approach)
2. Merging: It joins two list in a one list (It follows the pesudocode in itertive manner)

Pseudocode:

Implementation:
code with extra malloc declaration:

code by me without  extra malloc:

output:

Analysis of Running Time Complexity:

Worst case, Best case, Avergae case: Theta(nlogn)
Space Complexity: Theta(n)

This link can help to solve problems:
https://gist.github.com/mycodeschool/9678029
https://www.hackerearth.com/practice/algorithms/sorting/merge-sort/tutorial/

http://www.sanfoundry.com/cpp-program-implement-merge-sort/

## Merge Sort

Algorithm Video:

Merge Sort Combines Two Sorted file in a large bigger sorted files:
This Merge sort happens in a two steps:

This sorting is a example of divide and conquer approach:
1. Selection: Splits a list into two lists (This process is recursive approach)
2. Merging: It joins two list in a one list (It follows the pesudocode in itertive manner)

Pseudocode:

Implementation:
code with extra malloc declaration:

code by me without  extra malloc:

output:

Analysis of Running Time Complexity:

Worst case, Best case, Avergae case: Theta(nlogn)
Space Complexity: Theta(n)

This link can help to solve problems:
https://gist.github.com/mycodeschool/9678029
https://www.hackerearth.com/practice/algorithms/sorting/merge-sort/tutorial/

http://www.sanfoundry.com/cpp-program-implement-merge-sort/

## Bubble Sort

This video is good to help:

I have also taken help from DS Made Easy by Karumanchi book to find the algo pesudocode.

Pseudocode:

Implementation:

I need to improve this algorithm as it is not passing all the sizes of array so there will be some vacant position in array which increases the complexity in the running time so we need to out of the loop when it has nothing to swap, so our improvised algorithm will be:

Pseudocode:

Implementation:

This below video can help for better optimization that implemented in the above code:

Time Complexity in Running Time:

Worst Case: O(n^2)
BEst Case without improve: O(n^2)
Best Case(Improvised): O(n)
Average Case: O(n^2)
Space Complexity: O(1)
Simulation Tried to be drawn by me: