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119 changes: 119 additions & 0 deletions Cpp/SortByFreq.cpp
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// Implementation of above algorithm in C++.
#include <iostream>
#include <stdlib.h>
using namespace std;

/* A BST node has data, freq, left and right pointers */
struct BSTNode
{
struct BSTNode *left;
int data;
int freq;
struct BSTNode *right;
};

// A structure to store data and its frequency
struct dataFreq
{
int data;
int freq;
};

/* Function for qsort() implementation. Compare frequencies to
sort the array according to decreasing order of frequency */
int compare(const void *a, const void *b)
{
return ( (*(const dataFreq*)b).freq - (*(const dataFreq*)a).freq );
}

/* Helper function that allocates a new node with the given data,
frequency as 1 and NULL left and right pointers.*/
BSTNode* newNode(int data)
{
struct BSTNode* node = new BSTNode;
node->data = data;
node->left = NULL;
node->right = NULL;
node->freq = 1;
return (node);
}

// A utility function to insert a given key to BST. If element
// is already present, then increases frequency
BSTNode *insert(BSTNode *root, int data)
{
if (root == NULL)
return newNode(data);
if (data == root->data) // If already present
root->freq += 1;
else if (data < root->data)
root->left = insert(root->left, data);
else
root->right = insert(root->right, data);
return root;
}

// Function to copy elements and their frequencies to count[].
void store(BSTNode *root, dataFreq count[], int *index)
{
// Base Case
if (root == NULL) return;

// Recur for left subtree
store(root->left, count, index);

// Store item from root and increment index
count[(*index)].freq = root->freq;
count[(*index)].data = root->data;
(*index)++;

// Recur for right subtree
store(root->right, count, index);
}

// The main function that takes an input array as an argument
// and sorts the array items according to frequency
void sortByFrequency(int arr[], int n)
{
// Create an empty BST and insert all array items in BST
struct BSTNode *root = NULL;
for (int i = 0; i < n; ++i)
root = insert(root, arr[i]);

// Create an auxiliary array 'count[]' to store data and
// frequency pairs. The maximum size of this array would
// be n when all elements are different
dataFreq count[n];
int index = 0;
store(root, count, &index);

// Sort the count[] array according to frequency (or count)
qsort(count, index, sizeof(count[0]), compare);

// Finally, traverse the sorted count[] array and copy the
// i'th item 'freq' times to original array 'arr[]'
int j = 0;
for (int i = 0; i < index; i++)
{
for (int freq = count[i].freq; freq > 0; freq--)
arr[j++] = count[i].data;
}
}

// A utility function to print an array of size n
void printArray(int arr[], int n)
{
for (int i = 0; i < n; i++)
cout << arr[i] << " ";
cout << endl;
}

/* Driver program to test above functions */
int main()
{
int arr[] = {2, 3, 2, 4, 5, 12, 2, 3, 3, 3, 12};
int n = sizeof(arr)/sizeof(arr[0]);
sortByFrequency(arr, n);
printArray(arr, n);
return 0;
}