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Create Counting Sort .cpp #262

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77 changes: 77 additions & 0 deletions data structures/cpp/Counting Sort .cpp
Original file line number Diff line number Diff line change
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// Counting sort in C++ programming

#include <iostream>
using namespace std;

void countSort(int array[], int size)
{

/* The size of count must be at least the (max+1) but
we cannot assign declare it as int count(max+1) in C++ as
it does not support dynamic memory allocation.
So, its size is provided statically. */

int output[1000000]; // taking the numerical limit to be 10^6
int count[1000000]; // taking the numerical limit to be 10^6
int max = array[0];

// Find the largest element of the array
for (int i = 1; i < size; i++)
{
if (array[i] > max)
max = array[i];
}

// Initialize count array with all zeros.
for (int i = 0; i <= max; ++i)
count[i] = 0;

// Store the count of each element
for (int i = 0; i < size; i++)
count[array[i]]++;

// Store the cummulative count of each array
for (int i = 1; i <= max; i++)
count[i] += count[i - 1];

// Find the index of each element of the original array in count array, and
// place the elements in output array
for (int i = size - 1; i >= 0; i--)
{
output[count[array[i]] - 1] = array[i];
count[array[i]]--;
}

// Copy the sorted elements into original array
for (int i = 0; i < size; i++)
array[i] = output[i];

}

// Function to print an array
void printArray(int array[], int size)
{

for (int i = 0; i < size; i++)
cout << array[i] << " ";

cout << endl;

}

// Driver code
int main()
{
// Creating a Sample Array in C++
int array[] = {4, 32, 2, 83, 3, 321, 145556};

// Finding the size of the array
int n = sizeof(array) / sizeof(array[0]);

// Calling the Counting Sort Algorithm function
countSort(array, n);

// Printing the Sorted Array
printArray(array, n);

}