|
| 1 | +#include <iostream> |
| 2 | + |
| 3 | +// define character size |
| 4 | +#define CHAR_SIZE 128 |
| 5 | + |
| 6 | +// A Class representing a Trie node |
| 7 | +class Trie |
| 8 | +{ |
| 9 | +public: |
| 10 | +bool isLeaf; |
| 11 | +Trie* character[CHAR_SIZE]; |
| 12 | + |
| 13 | +// Constructor |
| 14 | +Trie() |
| 15 | +{ |
| 16 | +this->isLeaf = false; |
| 17 | + |
| 18 | +for (int i = 0; i < CHAR_SIZE; i++) |
| 19 | +this->character[i] = nullptr; |
| 20 | +} |
| 21 | + |
| 22 | +void insert(std::string); |
| 23 | +bool deletion(Trie*&, std::string); |
| 24 | +bool search(std::string); |
| 25 | +bool haveChildren(Trie const*); |
| 26 | +}; |
| 27 | + |
| 28 | +// Iterative function to insert a key in the Trie |
| 29 | +void Trie::insert(std::string key) |
| 30 | +{ |
| 31 | +// start from root node |
| 32 | +Trie* curr = this; |
| 33 | +for (int i = 0; i < key.length(); i++) |
| 34 | +{ |
| 35 | +// create a new node if path doesn't exists |
| 36 | +if (curr->character[key[i]] == nullptr) |
| 37 | +curr->character[key[i]] = new Trie(); |
| 38 | + |
| 39 | +// go to next node |
| 40 | +curr = curr->character[key[i]]; |
| 41 | +} |
| 42 | + |
| 43 | +// mark current node as leaf |
| 44 | +curr->isLeaf = true; |
| 45 | +} |
| 46 | + |
| 47 | +// Iterative function to search a key in Trie. It returns true |
| 48 | +// if the key is found in the Trie, else it returns false |
| 49 | +bool Trie::search(std::string key) |
| 50 | +{ |
| 51 | +// return false if Trie is empty |
| 52 | +if (this == nullptr) |
| 53 | +return false; |
| 54 | + |
| 55 | +Trie* curr = this; |
| 56 | +for (int i = 0; i < key.length(); i++) |
| 57 | +{ |
| 58 | +// go to next node |
| 59 | +curr = curr->character[key[i]]; |
| 60 | + |
| 61 | +// if string is invalid (reached end of path in Trie) |
| 62 | +if (curr == nullptr) |
| 63 | +return false; |
| 64 | +} |
| 65 | + |
| 66 | +// if current node is a leaf and we have reached the |
| 67 | +// end of the string, return true |
| 68 | +return curr->isLeaf; |
| 69 | +} |
| 70 | + |
| 71 | +// returns true if given node has any children |
| 72 | +bool Trie::haveChildren(Trie const* curr) |
| 73 | +{ |
| 74 | +for (int i = 0; i < CHAR_SIZE; i++) |
| 75 | +if (curr->character[i]) |
| 76 | +return true;// child found |
| 77 | + |
| 78 | +return false; |
| 79 | +} |
| 80 | + |
| 81 | +// Recursive function to delete a key in the Trie |
| 82 | +bool Trie::deletion(Trie*& curr, std::string key) |
| 83 | +{ |
| 84 | +// return if Trie is empty |
| 85 | +if (curr == nullptr) |
| 86 | +return false; |
| 87 | + |
| 88 | +// if we have not reached the end of the key |
| 89 | +if (key.length()) |
| 90 | +{ |
| 91 | +// recur for the node corresponding to next character in the key |
| 92 | +// and if it returns true, delete current node (if it is non-leaf) |
| 93 | + |
| 94 | +if (curr != nullptr && |
| 95 | +curr->character[key[0]] != nullptr && |
| 96 | +deletion(curr->character[key[0]], key.substr(1)) && |
| 97 | +curr->isLeaf == false) |
| 98 | +{ |
| 99 | +if (!haveChildren(curr)) |
| 100 | +{ |
| 101 | +delete curr; |
| 102 | +curr = nullptr; |
| 103 | +return true; |
| 104 | +} |
| 105 | +else { |
| 106 | +return false; |
| 107 | +} |
| 108 | +} |
| 109 | +} |
| 110 | + |
| 111 | +// if we have reached the end of the key |
| 112 | +if (key.length() == 0 && curr->isLeaf) |
| 113 | +{ |
| 114 | +// if current node is a leaf node and don't have any children |
| 115 | +if (!haveChildren(curr)) |
| 116 | +{ |
| 117 | +// delete current node |
| 118 | +delete curr; |
| 119 | +curr = nullptr; |
| 120 | + |
| 121 | +// delete non-leaf parent nodes |
| 122 | +return true; |
| 123 | +} |
| 124 | + |
| 125 | +// if current node is a leaf node and have children |
| 126 | +else |
| 127 | +{ |
| 128 | +// mark current node as non-leaf node (DON'T DELETE IT) |
| 129 | +curr->isLeaf = false; |
| 130 | + |
| 131 | +// don't delete its parent nodes |
| 132 | +return false; |
| 133 | +} |
| 134 | +} |
| 135 | + |
| 136 | +return false; |
| 137 | +} |
| 138 | + |
| 139 | +// C++ implementation of Trie Data Structure |
| 140 | +int main() |
| 141 | +{ |
| 142 | +Trie* head = new Trie(); |
| 143 | + |
| 144 | +head->insert("hello"); |
| 145 | +std::cout << head->search("hello") << " "; // print 1 |
| 146 | + |
| 147 | +head->insert("helloworld"); |
| 148 | +std::cout << head->search("helloworld") << " "; // print 1 |
| 149 | + |
| 150 | +std::cout << head->search("helll") << " "; // print 0 (Not found) |
| 151 | + |
| 152 | +head->insert("hell"); |
| 153 | +std::cout << head->search("hell") << " "; // print 1 |
| 154 | + |
| 155 | +head->insert("h"); |
| 156 | +std::cout << head->search("h"); // print 1 |
| 157 | + |
| 158 | +std::cout << std::endl; |
| 159 | + |
| 160 | +head->deletion(head, "hello"); |
| 161 | +std::cout << head->search("hello") << " "; // print 0 |
| 162 | + |
| 163 | +std::cout << head->search("helloworld") << " "; // print 1 |
| 164 | +std::cout << head->search("hell"); // print 1 |
| 165 | + |
| 166 | +std::cout << std::endl; |
| 167 | + |
| 168 | +head->deletion(head, "h"); |
| 169 | +std::cout << head->search("h") << " "; // print 0 |
| 170 | +std::cout << head->search("hell") << " "; // print 1 |
| 171 | +std::cout << head->search("helloworld");// print 1 |
| 172 | + |
| 173 | +std::cout << std::endl; |
| 174 | + |
| 175 | +head->deletion(head, "helloworld"); |
| 176 | +std::cout << head->search("helloworld") << " "; // print 0 |
| 177 | +std::cout << head->search("hell") << " "; // print 1 |
| 178 | + |
| 179 | +head->deletion(head, "hell"); |
| 180 | +std::cout << head->search("hell"); // print 0 |
| 181 | + |
| 182 | +std::cout << std::endl; |
| 183 | + |
| 184 | +if (head == nullptr) |
| 185 | +std::cout << "Trie empty!!\n"; // Trie is empty now |
| 186 | + |
| 187 | +std::cout << head->search("hell"); // print 0 |
| 188 | + |
| 189 | +return 0; |
| 190 | +} |
| 191 | + |
| 192 | +/* |
| 193 | +Output: |
| 194 | +
|
| 195 | +1 1 0 1 1 |
| 196 | +0 1 1 |
| 197 | +0 1 1 |
| 198 | +0 1 0 |
| 199 | +Trie empty!! |
| 200 | +0 |
| 201 | +
|
| 202 | +*/ |
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