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README.md
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# C
All Algorithms implemented in C
## Sort Algorithms
## Computer Oriented Statistical Methods
- Gauss_Elimination
- Lagrange_Theorem
- Mean
- Median
- Seidal
- Simpson's_1-3rd_rule.c
- Variance
### Bubble
![alt text][bubble-image]
From [Wikipedia][bubble-wiki]: Bubble sort, sometimes referred to as sinking sort, is a simple sorting algorithm that repeatedly steps through the list to be sorted, compares each pair of adjacent items and swaps them if they are in the wrong order. The pass through the list is repeated until no swaps are needed, which indicates that the list is sorted.
__Properties__
* Worst case performance O(n^2)
* Best case performance O(n)
* Average case performance O(n^2)
###### View the algorithm in [action][bubble-toptal]
## Conversions
- binary_to_decimal
- decimal _to_binary
- decimal_to_hexa
- decimal_to_octal
### Insertion
![alt text][insertion-image]
From [Wikipedia][insertion-wiki]: Insertion sort is a simple sorting algorithm that builds the final sorted array (or list) one item at a time. It is much less efficient on large lists than more advanced algorithms such as quicksort, heapsort, or merge sort.
__Properties__
* Worst case performance O(n^2)
* Best case performance O(n)
* Average case performance O(n^2)
###### View the algorithm in [action][insertion-toptal]
## Data Structures
- stack
- queue
linked_list
- singly_link_list_deletion
binary_trees
- create_node
- recursive_traversals
trie
- trie
### Merge
![alt text][merge-image]
From [Wikipedia][merge-wiki]: In computer science, merge sort (also commonly spelled mergesort) is an efficient, general-purpose, comparison-based sorting algorithm. Most implementations produce a stable sort, which means that the implementation preserves the input order of equal elements in the sorted output. Mergesort is a divide and conquer algorithm that was invented by John von Neumann in 1945.
__Properties__
* Worst case performance O(n log n)
* Best case performance O(n)
* Average case performance O(n)
## Searching
- Binary_Search
- Other_Binary_Search
###### View the algorithm in [action][merge-toptal]
### Quick
![alt text][quick-image]
From [Wikipedia][quick-wiki]: Quicksort (sometimes called partition-exchange sort) is an efficient sorting algorithm, serving as a systematic method for placing the elements of an array in order.
__Properties__
* Worst case performance O(n^2)
* Best case performance O(n log n) or O(n) with three-way partition
* Average case performance O(n^2)
###### View the algorithm in [action][quick-toptal]
### Selection
![alt text][selection-image]
From [Wikipedia][selection-wiki]: The algorithm divides the input list into two parts: the sublist of items already sorted, which is built up from left to right at the front (left) of the list, and the sublist of items remaining to be sorted that occupy the rest of the list. Initially, the sorted sublist is empty and the unsorted sublist is the entire input list. The algorithm proceeds by finding the smallest (or largest, depending on sorting order) element in the unsorted sublist, exchanging (swapping) it with the leftmost unsorted element (putting it in sorted order), and moving the sublist boundaries one element to the right.
__Properties__
* Worst case performance O(n^2)
* Best case performance O(n^2)
* Average case performance O(n^2)
###### View the algorithm in [action][selection-toptal]
### Time-Compexity Graphs
Comparing the complexity of sorting algorithms (Bubble Sort, Insertion Sort, Selection Sort)
[Complexity Graphs](https://github.com/prateekiiest/Python/blob/master/sorts/sortinggraphs.png)
----------------------------------------------------------------------------------
## Search Algorithms
### Linear
![alt text][linear-image]
From [Wikipedia][linear-wiki]: linear search or sequential search is a method for finding a target value within a list. It sequentially checks each element of the list for the target value until a match is found or until all the elements have been searched.
Linear search runs in at worst linear time and makes at most n comparisons, where n is the length of the list.
__Properties__
* Worst case performance O(n)
* Best case performance O(1)
* Average case performance O(n)
* Worst case space complexity O(1) iterative
### Binary
![alt text][binary-image]
From [Wikipedia][binary-wiki]: Binary search, also known as half-interval search or logarithmic search, is a search algorithm that finds the position of a target value within a sorted array. It compares the target value to the middle element of the array; if they are unequal, the half in which the target cannot lie is eliminated and the search continues on the remaining half until it is successful.
__Properties__
* Worst case performance O(log n)
* Best case performance O(1)
* Average case performance O(log n)
* Worst case space complexity O(1)
----------------------------------------------------------------------------------------------------------------------
## Sorting
- binary_insertion_sort
- BubbleSort
- BogoSort
- InsertionSort
- mergesort
- OtherBubbleSort
- QuickSort
- SelectionSort
- shaker_sort
[bubble-toptal]: https://www.toptal.com/developers/sorting-algorithms/bubble-sort
[bubble-wiki]: https://en.wikipedia.org/wiki/Bubble_sort
[bubble-image]: https://upload.wikimedia.org/wikipedia/commons/thumb/8/83/Bubblesort-edited-color.svg/220px-Bubblesort-edited-color.svg.png "Bubble Sort"
[insertion-toptal]: https://www.toptal.com/developers/sorting-algorithms/insertion-sort
[insertion-wiki]: https://en.wikipedia.org/wiki/Insertion_sort
[insertion-image]: https://upload.wikimedia.org/wikipedia/commons/7/7e/Insertionsort-edited.png "Insertion Sort"
[quick-toptal]: https://www.toptal.com/developers/sorting-algorithms/quick-sort
[quick-wiki]: https://en.wikipedia.org/wiki/Quicksort
[quick-image]: https://upload.wikimedia.org/wikipedia/commons/6/6a/Sorting_quicksort_anim.gif "Quick Sort"
[merge-toptal]: https://www.toptal.com/developers/sorting-algorithms/merge-sort
[merge-wiki]: https://en.wikipedia.org/wiki/Merge_sort
[merge-image]: https://upload.wikimedia.org/wikipedia/commons/c/cc/Merge-sort-example-300px.gif "Merge Sort"
[selection-toptal]: https://www.toptal.com/developers/sorting-algorithms/selection-sort
[selection-wiki]: https://en.wikipedia.org/wiki/Selection_sort
[selection-image]: https://upload.wikimedia.org/wikipedia/commons/thumb/b/b0/Selection_sort_animation.gif/250px-Selection_sort_animation.gif "Selection Sort Sort"
[linear-wiki]: https://en.wikipedia.org/wiki/Linear_search
[linear-image]: http://www.tutorialspoint.com/data_structures_algorithms/images/linear_search.gif
[binary-wiki]: https://en.wikipedia.org/wiki/Binary_search_algorithm
[binary-image]: https://upload.wikimedia.org/wikipedia/commons/f/f7/Binary_search_into_array.png
## Misc
- Binning
- Factorial
- Fibonacci
- isArmstrong
- LongestSubSequence
- palindrome
- QUARTILE
- rselect
- strongNumber
- TowerOfHanoi

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#include <stdio.h>
void swap (int *a,int *b)
{
int t;
t= *a;
*a=*b;
*b=t;
}
void merge(int a[],int l,int r,int n)
{ int *b = (int*)malloc(n*sizeof(int));
int c=l;
int p1,p2;
p1 = l;p2=((l+r)/2)+1;
while ((p1<((l+r)/2)+1) &&(p2<r+1))
{ if(a[p1] <= a[p2])
{ b[c++] = a[p1];
p1++;
}
else
{b[c++] = a[p2];p2++;}
};
if (p2 == r+1)
{
while ((p1<((l+r)/2)+1))
{
b[c++] = a[p1];
p1++;
};
}
else
{
while ((p2<r+1))
{
b[c++] = a[p2];
p2++;
};
}
for (c=l;c<r-l+1;c++)
a[c] = b[c];
}
void mergesort(int a[],int n,int l,int r)
{
if (r-l == 1 )
{
if (a[l]>a[r])
swap(&a[l],&a[r]);
}
else if(l==r)
{}
else
{mergesort(a,n,l,(l+r)/2);
mergesort(a,n,((l+r)/2)+1,r);
merge(a,l,r,n);
}
}
int main(void) {
int *a,n,i;
scanf("%d",&n);
a = (int*)malloc(n*sizeof(int));
for (i=0;i<n;i++)
{
scanf("%d",&a[i]);
}
mergesort(a,n,0,n-1);
for (i=0;i<n;i++)
{
printf(" %d",&a[i]);
}
return 0;
}
#include <stdio.h>
void swap (int *a,int *b)
{
int t;
t= *a;
*a=*b;
*b=t;
}
void merge(int a[],int l,int r,int n)
{ int *b = (int*)malloc(n*sizeof(int));
int c=l;
int p1,p2;
p1 = l;p2=((l+r)/2)+1;
while ((p1<((l+r)/2)+1) &&(p2<r+1))
{ if(a[p1] <= a[p2])
{ b[c++] = a[p1];
p1++;
}
else
{b[c++] = a[p2];p2++;}
};
if (p2 == r+1)
{
while ((p1<((l+r)/2)+1))
{
b[c++] = a[p1];
p1++;
};
}
else
{
while ((p2<r+1))
{
b[c++] = a[p2];
p2++;
};
}
for (c=l;c<r-l+1;c++)
a[c] = b[c];
}
void mergesort(int a[],int n,int l,int r)
{
if (r-l == 1 )
{
if (a[l]>a[r])
swap(&a[l],&a[r]);
}
else if(l==r)
{}
else
{mergesort(a,n,l,(l+r)/2);
mergesort(a,n,((l+r)/2)+1,r);
merge(a,l,r,n);
}
}
int main(void) {
int *a,n,i;
scanf("%d",&n);
a = (int*)malloc(n*sizeof(int));
for (i=0;i<n;i++)
{
scanf("%d",&a[i]);
}
mergesort(a,n,0,n-1);
for (i=0;i<n;i++)
{
printf(" %d",&a[i]);
}
return 0;
}