Inserting a word into a Trie involves traversing the Trie based on each character in the word. Starting from the root, each character determines a path through the Trie. If a node for a character doesn't exist, a new node is created. The process continues until the entire word is inserted. The last node of the word is marked to indicate the end of a valid word. Trie insertion has a time complexity of O(m), where m is the length of the word. It provides efficient storage and retrieval for dynamic sets of strings.
Deleting a word from a Trie requires traversing the Trie based on the characters of the word. Starting from the root, each character leads to a specific path. Once the last character of the word is reached, the corresponding node is marked to indicate the end of a word. If the word has no other prefixes, the nodes along the path are removed to optimize space. If the word shares prefixes with other words, only the end marker is removed. Trie deletion has a time complexity of O(m), where m is the length of the word. It efficiently removes words while maintaining Trie structure for other entries.
Searching for a word in a Trie involves traversing the Trie based on the characters of the word. Starting from the root, each character guides the path through the Trie. If the path exists and leads to a node marked as the end of a word, the word is considered present in the Trie. Trie search has a time complexity of O(m), where m is the length of the word. It offers efficient string retrieval, making it well-suited for tasks like dictionary-based lookups and autocomplete functionality. The Trie structure ensures quick and precise word identification.
Prefix search in a Trie involves finding all words that have a given prefix. Prefix search in a Trie has a time complexity of O(p + k), where p is the length of the prefix, and k is the total number of nodes in the subtrie rooted at the last character of the prefix. It's highly efficient for autocomplete or searching for words with common prefixes.
Count will return the total amount of nodes within the trie structure. Count includes the root which does not contain a string value.
