题目:https://leetcode-cn.com/problems/substring-with-concatenation-of-all-words
给定一个字符串 s 和一些 长度相同 的单词 words 。找出 s 中恰好可以由 words 中所有单词串联形成的子串的起始位置。
注意子串要与 words 中的单词完全匹配,中间不能有其他字符 ,但不需要考虑 words 中单词串联的顺序。

示例 1:
输入:s = “barfoothefoobarman”, words = [“foo”,”bar”]
输出:[0,9]
解释:
从索引 0 和 9 开始的子串分别是 “barfoo” 和 “foobar” 。
输出的顺序不重要, [9,0] 也是有效答案。

示例 2:
输入:s = “wordgoodgoodgoodbestword”, words = [“word”,”good”,”best”,”word”]
输出:[]

示例 3:
输入:s = “barfoofoobarthefoobarman”, words = [“bar”,”foo”,”the”]
输出:[6,9,12]

提示:
1 <= s.length <= 104
s 由小写英文字母组成
1 <= words.length <= 5000
1 <= words[i].length <= 30
words[i] 由小写英文字母组成

思路:
全排列不显示,时间复杂度O(m!)
题目说的是单词的无序串联,既然无序,说明与单词的顺序无关,只与单词的数量有关

1. 双哈希表暴力相等(我的)

  1. class Solution {
  2. public List<Integer> findSubstring(String s, String[] words) {
  3. List<Integer> res = new ArrayList<Integer>();
  4. Map<String,Integer> map = new HashMap<String,Integer>();
  5. if (s == null || s.length() == 0 || words == null || words.length == 0)
  6. return res;
  7. int words_num=words.length;
  8. int one_word=words[0].length();
  9. int all_words_len=words_num*one_word;
  10. for(int i=0;i<words_num;i++){
  11. map.put(words[i], map.getOrDefault(words[i], 0) + 1);
  12. }
  13. for (int i = 0; i < s.length() - all_words_len + 1; i++) {
  14. String tmp = s.substring(i, i + all_words_len);
  15. Map<String, Integer> tmp_map = new HashMap<String,Integer>();
  16. for (int j = 0; j < all_words_len; j += one_word) {
  17. String w = tmp.substring(j, j + one_word);
  18. tmp_map.put(w, tmp_map.getOrDefault(w, 0) + 1);
  19. }
  20. if (map.equals(tmp_map))
  21. res.add(i);
  22. }
  23. return res;
  24. }
  25. }

image.png
比上面的稍微优化一点…

  1. class Solution {
  2. public List<Integer> findSubstring(String s, String[] words) {
  3. List<Integer> res = new ArrayList<Integer>();
  4. Map<String,Integer> map = new HashMap<String,Integer>();
  5. if (s == null || s.length() == 0 || words == null || words.length == 0)
  6. return res;
  7. int words_num=words.length;
  8. int one_word=words[0].length();
  9. int all_words_len=words_num*one_word;
  10. for(int i=0;i<words_num;i++){
  11. map.put(words[i], map.getOrDefault(words[i], 0) + 1);
  12. }
  13. for (int i = 0; i < s.length() - all_words_len + 1; i++) {
  14. String tmp = s.substring(i, i + all_words_len);
  15. Map<String, Integer> tmp_map = new HashMap<String,Integer>();
  16. int index = i;
  17. while(index < i + wordNum * wordLen){
  18. String curWord = s.substring(index, index + wordLen);
  19. if(!allWords.containsKey(curWord) || tmp_map.get(curWord) == allWords.get(curWord)){
  20. break;
  21. }
  22. tmp_map.put(curWord, tmp_map.getOrDefault(curWord, 0) + 1);
  23. index += wordLen;
  24. }
  25. if(index == i + wordNum * wordLen){
  26. res.add(i);
  27. }
  28. return res;
  29. }
  30. }

image.png

2. 多起点+移动步长定长

  1. public class Solution {
  2. public List<Integer> findSubstring(String s, String[] words) {
  3. ArrayList<Integer> res = new ArrayList<>();
  4. // 设 words中所有单词的长度为 d
  5. int n = s.length();
  6. int d = words[0].length();
  7. int len = 0; //窗口长度
  8. HashMap<String, Integer> unorder_Map = new HashMap<>();
  9. for (String word : words) {
  10. len += word.length();
  11. unorder_Map.put(word, unorder_Map.getOrDefault(word, 0) + 1);
  12. }
  13. // init: 初始化长度为 d 的数组
  14. //相当于多起点
  15. Map<String, Integer>[] map_Array = new Map[d];
  16. for (int i = 0; i < d && i + len <= n; i++) {
  17. map_Array[i] = new HashMap<>();
  18. for (int j = i; j < i + len; j += d) {
  19. String w = s.substring(j, j + d);
  20. map_Array[i].put(w, map_Array[i].getOrDefault(w, 0) + 1);
  21. }
  22. if (map_Array[i].equals(unorder_Map))
  23. res.add(i);
  24. }
  25. // sliding window: 滑动窗口,每次移动 d 个位置
  26. for (int i = d; i + len <= n; i++) {
  27. int r = i % d;
  28. String wA = s.substring(i - d, i);
  29. String wB = s.substring(i + len - d, i + len);
  30. map_Array[r].put(wA, map_Array[r].getOrDefault(wA, 1) - 1);
  31. if (map_Array[r].get(wA) == 0)
  32. map_Array[r].remove(wA);
  33. map_Array[r].put(wB, map_Array[r].getOrDefault(wB, 0) + 1);
  34. if (map_Array[r].equals(unorder_Map))
  35. res.add(i);
  36. }
  37. return res;
  38. }
  39. }

image.png