# C++ Program to Perform the Shaker Sort

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This is a C++ program to sort the given data using Shaker Sort.

Problem Description

1. Shaker sort, unlike bubble sort, orders the array in both directions.
2. The worst case time complexity is O(n^2).

Problem Solution

1. In each iteration, sorting is done in two parts.
2. Firstly set the highest value to the highest index and decrement the index.
3. Then lowest value to the lowest index and increment the index.
4. Display the result.
5. Exit.

Program/Source Code

C++ program to implement Shaker Sort.
This program is successfully run on Dev-C++ using TDM-GCC 4.9.2 MinGW compiler on a Windows system.

```#include<iostream>

using namespace std;

// A function to swap values using call by reference.
void swap(int *a, int *b)
{
int temp;
temp = *a;
*a = *b;
*b = temp;
}

// A function implementing shaker sort.
void ShakerSort(int a[], int n)
{
int i, j, k;
for(i = 0; i < n;)
{
// First phase for ascending highest value to the highest unsorted index.
for(j = i+1; j < n; j++)
{
if(a[j] < a[j-1])
swap(&a[j], &a[j-1]);
}
// Decrementing highest index.
n--;

// Second phase for descending lowest value to the lowest unsorted index.
for(k = n-1; k > i; k--)
{
if(a[k] < a[k-1])
swap(&a[k], &a[k-1]);
}
// Incrementing lowest index.
i++;
}
}

int main()
{
int n, i;
cout<<"\nEnter the number of data element to be sorted: ";
cin>>n;

int arr[n];
for(i = 0; i < n; i++)
{
cout<<"Enter element "<<i+1<<": ";
cin>>arr[i];
}

ShakerSort(arr, n);

// Printing the sorted data.
cout<<"\nSorted Data ";
for (i = 0; i < n; i++)
cout<<"->"<<arr[i];

return 0;
}```
Program Explanation

1. Take input of data.
2. Call ShakerSort() function with ‘arr’ the array of data and ‘n’ the number of values, in the argument list.
3. Implement Sorting algorithm using nested for loops.
4. The parent loop will run on ‘i’ from 0 to n-1 and contains two loops inside.
5. The first loop will run on ‘j’ from i+1 to n-1 and use swap() if a[j] < a[j-1]. 6. Decrement n. 7. The second loop will run on 'k' from n-1 to i+1 and use swap() if a[k] < a[k-1]. 8. Increment i. 9. Return to main and display the result. 10. Exit.

Runtime Test Cases
```Case 1:(average case)

Enter the number of data element to be sorted: 5
Enter element 1: 998
Enter element 2: 451
Enter element 3: 2
Enter element 4: 35
Enter element 5: 1206

Sorted Data ->2->35->451->998->1206

Case 2:(best case)

Enter the number of data element to be sorted: 5
Enter element 1: 2
Enter element 2: 332
Enter element 3: 456
Enter element 4: 1024
Enter element 5: 16565

Sorted Data ->2->332->456->1024->16565

case 3: (worst case)

Enter the number of data element to be sorted: 5
Enter element 1: 99845
Enter element 2: 564
Enter element 3: 332
Enter element 4: 86
Enter element 5: 1

Sorted Data ->1->86->332->564->99845```

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