Word Ladder

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.

Pseudocode

- initially tried to solve it as a graph question
- still don't know understand solution

Solution

// No idea how this works lol
var ladderLength = function (begin, end, wordList) {
  let set = new Set();
  for (let val of wordList) {
    if (val !== begin) set.add(val);
  }
  if (!set.has(end)) return 0;
  let depth = 0;
  let queue = [begin];
  let size = queue.length;
  let a = "a".charCodeAt(0);
  while (queue.length > 0) {
    depth++;
    while (size > 0) {
      let str = queue.shift();
      for (let i = 0; i < str.length; i++) {
        for (let j = 0; j < 26; j++) {
          let search =
            str.slice(0, i) + String.fromCharCode(a + j) + str.slice(i + 1);
          if (search === str) continue;
          if (search === end) return depth + 1;
          if (set.has(search)) {
            queue.push(search);
            set.delete(search);
          }
        }
      }
      size--;
    }
    size = queue.length;
  }

  return 0;
};
//hit

Time and Space Complexity

Time

  • What did the code do

  • Total -

Space

  • What did the code do

  • Total -

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