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| 1 | +// C++ program for Huffman Coding |
| 2 | +#include<bits/stdc++.h> |
| 3 | +using namespace std; |
| 4 | +// A Huffman tree node |
| 5 | +struct MinHeapNode |
| 6 | +{ |
| 7 | + // One of the input characters; |
| 8 | + char data; |
| 9 | + // Frequency of the character; |
| 10 | + unsigned freq; |
| 11 | + // Left and right child; |
| 12 | + MinHeapNode *left, *right; |
| 13 | + MinHeapNode(char data, unsigned freq) |
| 14 | + { |
| 15 | + left = right = NULL; |
| 16 | + this->data = data; |
| 17 | + this->freq = freq; |
| 18 | + } |
| 19 | +}; |
| 20 | +// For comparison of; |
| 21 | +// two heap nodes (needed in min heap); |
| 22 | +struct compare |
| 23 | +{ |
| 24 | + bool operator()(MinHeapNode* l, MinHeapNode* r) |
| 25 | + { |
| 26 | + return (l->freq > r->freq); |
| 27 | + } |
| 28 | +}; |
| 29 | +// Prints huffman codes from; |
| 30 | +// the root of Huffman Tree; |
| 31 | +void printCodes(struct MinHeapNode* root, string str) |
| 32 | +{ |
| 33 | + if (!root) |
| 34 | + return; |
| 35 | + if (root->data != '$') |
| 36 | + cout << root->data << ": " << str << endl; |
| 37 | + printCodes(root->left, str + "0"); |
| 38 | + printCodes(root->right, str + "1"); |
| 39 | +} |
| 40 | +// The main function that builds a Huffman Tree and; |
| 41 | +// print codes by traversing the built Huffman Tree; |
| 42 | +void HuffmanCodes(char data[], int freq[], int size) |
| 43 | +{ |
| 44 | + struct MinHeapNode *left, *right, *top; |
| 45 | + // Create a min heap & inserts all characters of data[]; |
| 46 | + priority_queue<MinHeapNode*, vector<MinHeapNode*>, compare> minHeap; |
| 47 | + for (int i = 0; i < size; ++i) |
| 48 | + minHeap.push(new MinHeapNode(data[i], freq[i])); |
| 49 | + // Iterate while size of heap doesn't become 1; |
| 50 | + while (minHeap.size() != 1) |
| 51 | + { |
| 52 | + // Extract the two minimum; |
| 53 | + // freq items from min heap; |
| 54 | + left = minHeap.top(); |
| 55 | + minHeap.pop(); |
| 56 | + right = minHeap.top(); |
| 57 | + minHeap.pop(); |
| 58 | + // Create a new internal node with |
| 59 | + // frequency equal to the sum of the |
| 60 | + // two nodes frequencies. Make the |
| 61 | + // two extracted node as left and right children |
| 62 | + // of this new node. Add this node |
| 63 | + // to the min heap '$' is a special value |
| 64 | + // for internal nodes, not used; |
| 65 | + top = new MinHeapNode('$', left->freq + right->freq); |
| 66 | + top->left = left; |
| 67 | + top->right = right; |
| 68 | + minHeap.push(top); |
| 69 | + } |
| 70 | + // Print Huffman codes using; |
| 71 | + // the Huffman tree built above; |
| 72 | + printCodes(minHeap.top(), ""); |
| 73 | +} |
| 74 | +// Driver program to test above functions; |
| 75 | +int main() |
| 76 | +{ |
| 77 | + char arr[] = { 'a', 'b', 'c', 'd', 'e', 'f' }; |
| 78 | + int freq[] = { 5, 9, 12, 13, 16, 45 }; |
| 79 | + int size = sizeof(arr) / sizeof(arr[0]); |
| 80 | + HuffmanCodes(arr, freq, size); |
| 81 | + return 0; |
| 82 | +} |
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