Trie(字典树)的Java实现

本文介绍了一种简单实现的Trie数据结构,该结构支持插入、读取、更新和删除(CRUD)操作。Trie的所有操作复杂度均为O(n),其中n为操作单词的长度。文章详细说明了如何在Trie中进行这些操作,并提供了具体的实现代码。
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简单实现了一个具有CRUD操作能力的Trie。CRUD操作即插入(Create),读取(Read),改变(Update)和删除(Delete)。

删除是基于当前结点的count实现的。当count为0时代表当前结点应该被完全删除。

Trie的所有操作均为O(n)。其中n为所要操作的单词的长度。

public KeyNotFound extends Exception {
    public KeyNotFound(String message) {
        super(message);
    }
}

public class Trie {
    class TrieNode {
        char curr;
        TrieNode[] children;
        private boolean isEnd;
        String data; 
        private int count;
        TrieNode (char curr, boolean isEnd, String data) {
            // Cast all the chars to lower case
            curr = Character.toLowerCase(curr);
            this.curr = curr;
            this.isEnd = isEnd;
            this.data = data;
            this.children = new TrieNode[26];
            this.count = 1;
        }

        void setEnd(boolean end) {
            this.isEnd = end;
        }

        void increaseCount() {
            this.count++;
        }

        int getCount() {
            return this.count;
        }

        void decreaseCount() {
            this.count--;
        }
    }

    private TrieNode root;

    public Trie() {
        /** Initialize the Trie. */
        this.root = new TrieNode(' ', false, "");
    }

    public void insert(String word, String data) {
        /** Inserts a word and corresponding data into the trie. */
        char[] chars = word.toCharArray();
        TrieNode currPos = this.root;
        for (int i = 0; i < chars.length; i++) {
            int index = chars[i] - 'a';
            // If a node corresponding to current substring does not exists, create one.
            if (currPos.children[index] == null) {
                TrieNode newNode = new TrieNode(chars[i], false, ""); 
                currPos.children[index] = newNode;
            }
            // If this is the end of the word, store the data in to the Trie and set end.
            if (i == chars.length - 1) {
                currPos.children[index].setEnd(true);
                currPos.children[index].data = data;
            }
            // Move one level down
            currPos = currPos.children[index];
        }
    }

    public boolean search(String word) {
        /** Returns if the word is in the Trie. */
        char[] chars = word.toCharArray();
        TrieNode currPos = this.root;
        for (int i = 0; i < chars.length; i++) {
            int index = chars[i] - 'a';
            // If no match find, return false
            if (currPos.children[index] == null) {
                return false;
            }
            if (i == chars.length - 1 && currPos.children[index].isEnd) {
                return true;
            }
            currPos = currPos.children[index];
        }
        return false;
    }

    public boolean startsWith(String prefix) {
        /** Returns if there is any word in the Trie that starts with the given prefix. */
        char[] chars = prefix.toCharArray();
        TrieNode currPos = this.root;
        for (int i = 0; i < chars.length; i++) {
            int index = chars[i] - 'a';
            if (currPos.children[index] == null) {
                return false;
            }
            currPos = currPos.children[index];
        }
        return true;
    }

    public String getData(String key) throws KeyNotFound {
        /** 
         * Gets the corresponding data for the given key if the key exists in the Trie.
         * Throw KeyNotFound error if no such key exists
         */   
        char[] chars = key.toCharArray();
        TrieNode currPos = this.root;
        for (int i = 0; i < chars.length; i++) {
            int index = chars[i] - 'a';
            // If no match find, return empty string
            if (currPos.children[index] == null) {
                throw new KeyNotFound("Given key does not exists in the Trie!");
            }
            currPos = currPos.children[index];
        }
        if (!currPos.isEnd) {
            throw new KeyNotFound("Given key does not exists in the Trie!");
        }
        return currPos.data;
    }

    public boolean setData(String key, String newData) {
        /**
         * Change the data of an existing key.
         * If changed successfully, return true.
         * If the key doesn't exists, return false.
         */
        char[] chars = key.toCharArray();
        TrieNode currPos = this.root;
        for (int i = 0; i < chars.length; i++) {
            int index = chars[i] - 'a';
            // If no match find, cannot store the data, return false
            if (currPos.children[index] == null) {
                return false;
            }
            currPos = currPos.children[index];
        }
        if (!currPos.isEnd) {
            return false;
        }
        currPos.data = newData;
        return true;
    }

    public void delete(String word) {
        /**
         * Delete the given word in the Trie if exists
         */
        // If the word doesn't exist in the Trie, should delete anything
        if (!search(word)) {
            return;
        }
        char[] chars = word.toCharArray();
        TrieNode currPos = this.root;
        for (int i = 0; i < chars.length; i++) {
            int index = chars[i] - 'a';
            TrieNode tmp = currPos.children[index];
            if (currPos.children[index].getCount() == 1) {
                currPos.children[index] = null;
            } else {
                currPos.children[index].decreaseCount();
            }

            // if a word is deleted but the prefix still exists, delete the data and flip isEnd flag.
            if (i == chars.length - 1) {
                if (currPos.children[index] != null) {
                    currPos.children[index].data = "";
                    currPos.children[index].setEnd(false);
                }
            }
            currPos = tmp;
        }

    }
}

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