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  • Home

    [LeetCode 127] Word Ladder

    Published Mar 25, 2022 [  Graph  ]

    Problem

    A transformation sequence from word beginWord to word endWord using a dictionary wordList is a sequence of words beginWord -> s1 -> s2 -> ... -> sk such that:

    • Every adjacent pair of words differs by a single letter.
    • Every si for 1 <= i <= k is in wordList. Note that beginWord does not need to be in wordList.
    • sk == endWord

    Given two words, beginWord and endWord, and a dictionary wordList, return the number of words in the shortest transformation sequence from beginWord to endWord, or 0 if no such sequence exists.

    Example 1:

    Input: beginWord = "hit", endWord = "cog", wordList = ["hot","dot","dog","lot","log","cog"]
    Output: 5
    Explanation: One shortest transformation sequence is "hit" -> "hot" -> "dot" -> "dog" -> cog", which is 5 words long.
    

    Example 2:

    Input: beginWord = "hit", endWord = "cog", wordList = ["hot","dot","dog","lot","log"]
    Output: 0
    Explanation: The endWord "cog" is not in wordList, therefore there is no valid transformation sequence.
    

    Constraints:

    - `1 <= beginWord.length <= 10`
    - `endWord.length == beginWord.length`
    - `1 <= wordList.length <= 5000`
    - `wordList[i].length == beginWord.length`
    - `beginWord`, `endWord`, and `wordList[i]` consist of lowercase English letters.
    - `beginWord != endWord`
    - All the words in `wordList` are **unique**.
    

    TypeScript

    function ladderLength(beginWord: string, endWord: string, wordList: string[]): number {
        // use Set for existence check & unique
        const words = new Set(wordList);
        // we can delete begin word since it doesn't need be to in the wordList
        words.delete(beginWord);
        // nice to have an object queue
        const q = [{ word: beginWord, distance: 1 }];
    
        // BFS starts here
        while (q.length) {
            // destructure the values & check
            const { word, distance } = q.shift();
            if (word === endWord) return distance;
    
            // find word with one char difference from the original word
            // and update the distance.
            for (let i = 0; i < word.length; i++) {
                for (let j = 0; j < 26; j++) {
                    const char = String.fromCharCode('a'.charCodeAt(0) + j);
                    const mod = word.slice(0, i) + char + word.slice(i + 1);
                    if (words.delete(mod)) q.push({ word: mod, distance: distance + 1 });
                }
            }
        }
        return 0;
    };
    

    Reference