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huffman_tree.cpp
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163 lines (142 loc) · 4.98 KB
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//
// Created by Mayank Parasar on 2020-04-06.
//
/*
* str = "aaaabbbbbdddffg"
*
* Huffman-tree of above string is as follows:
┌────┐
│ 15 │
└────┘
▲
│
┌───────────┴──────────┐
│ │
│ │
│ ┌────┐
┌────┐ │ 6 │
│ 9 │ └────┘
└────┘ ▲
▲ ├─────────┐
│ │ │
│ │ │
│ │ ┌────┐
│ │ │ 3 │
│ ┌─────┘ └────┘
┌──────┴─────┐ │ ▲
│ │ │ │
│ │ │ │
│ │ │ ┌─────┴───────┐
│ │ │ │ │
│ │ │ │ │
│ │ │ │ │
┌────┐ ┌────┐ ┌────┐ ┌────┐ ┌────┐
│ 4 │ │ 5 │ │ 3 │ │ 2 │ │ 1 │ <== freq of each character
└────┘ └────┘ └────┘ └────┘ └────┘
┌────┐ ┌────┐ ┌────┐ ┌────┐ ┌────┐
│ a │ │ b │ │ c │ │ d │ │ e │
└────┘ └────┘ └────┘ └────┘ └────┘
* */
#include <iostream>
#include <vector>
#include <map>
#include <string>
using namespace std;
map<char, int> char_freq;
struct node {
int freq;
node* left;
node* right;
node(int x) : freq(x) {
left = nullptr;
right = nullptr;
}
};
vector<node*> mysort(vector<node*>& vec) {
bool swap_ = true;
while(swap_) {
swap_ = false;
for(int ii = 0; ii < vec.size()-1; ii++) {
if(vec[ii]->freq < vec[ii+1]->freq) {
swap(vec[ii], vec[ii+1]);
swap_ = true;
}
}
}
return vec;
}
struct node_info{
node* nde;
int level;
};
std::vector<node_info> traversal;
void level_order_traversal(node* node_) {
int level = 0;
traversal.push_back({node_, level});
int ii = 0;
while (ii != traversal.size()){
node * left_child = nullptr;
node * right_child = nullptr;
int next_level = traversal[ii].level + 1;
if(traversal[ii].nde->left != nullptr) {
left_child = traversal[ii].nde->left;
}
if(traversal[ii].nde->right != nullptr) {
right_child = traversal[ii].nde->right;
}
if(left_child != nullptr)
traversal.push_back({left_child, next_level});
if(right_child != nullptr)
traversal.push_back({right_child, next_level});
ii++;
}
}
void print_traversal() {
int ii;
for(ii=0; ii < traversal.size()-1; ii++) {
cout << traversal[ii].nde->freq << " ";
if(traversal[ii].level < traversal[ii+1].level)
cout << endl;
}
cout << traversal[ii].nde->freq << " ";
}
int main() {
string str = "aaaabbbbbdddffg";
for(int ii = 0; ii < str.length(); ii++) {
char_freq[str[ii]]++; // '[]' operrator allocates
}
vector<node*> node_vec;
for(auto i : char_freq) {
cout << i.first << ": " << i.second << endl;
node_vec.push_back(new node(i.second));
}
// sort the vector as per value of the freq.
for (auto i : node_vec) {
cout << i->freq << " ";
}
cout << endl;
node_vec = mysort(node_vec);
for (auto i : node_vec) {
cout << i->freq << " ";
}
cout << endl;
node* node1;
while(node_vec.size() > 1 ) {
node1 = new node(node_vec[node_vec.size() - 2]->freq + node_vec[node_vec.size() - 1]->freq);
node1->right = node_vec.back();
node_vec.pop_back();
node1->left = node_vec.back();
node_vec.pop_back();
node_vec.push_back(node1);
node_vec = mysort(node_vec);
for (auto i : node_vec) {
cout << i->freq << " ";
}
cout << endl;
}
// node1 is now the root of this tree...
// a level-order traversal of this tree
level_order_traversal(node1);
print_traversal();
return 0;
}