题目

A valid encoding of an array of words is any reference string s and array of indices indices such that:

  • words.length == indices.length
  • The reference string s ends with the '#' character.
  • For each index indices[i], the substring of s starting from indices[i] and up to (but not including) the next '#' character is equal to words[i].

Given an array of words, return the length of the shortest reference string s possible of any valid encoding of words.

Example 1:

  1. Input: words = ["time", "me", "bell"]
  2. Output: 10
  3. Explanation: A valid encoding would be s = "time#bell#" and indices = [0, 2, 5].
  4. words[0] = "time", the substring of s starting from indices[0] = 0 to the next '#' is underlined in "time#bell#"
  5. words[1] = "me", the substring of s starting from indices[1] = 2 to the next '#' is underlined in "time#bell#"
  6. words[2] = "bell", the substring of s starting from indices[2] = 5 to the next '#' is underlined in "time#bell#"

Example 2:

  1. Input: words = ["t"]
  2. Output: 2
  3. Explanation: A valid encoding would be s = "t#" and indices = [0].

Constraints:

  • 1 <= words.length <= 2000
  • 1 <= words[i].length <= 7
  • words[i] consists of only lowercase letters.

题意

将数组中的元素按照指定规则拼成一个最短的字符串。

思路

主要是判断一个字符串是否是另一个字符串的后缀。可以这样处理,先将数组中所有字符串逆置,再按照字典序从大到小排序,这样前缀重合的字符串一定排在一起,且较长的排在前面;遍历数组,如果一个字符串是另一个字符串的前缀,则删去短串,根据最后留下的集合计算答案。


代码实现

Java

  1. class Solution {
  2. public int minimumLengthEncoding(String[] words) {
  3. List<String> transform = new ArrayList<>();
  4. for (String word : words) {
  5. transform.add(new StringBuilder(word).reverse().toString());
  6. }
  7. Collections.sort(transform, Comparator.reverseOrder());
  8. int i = 0, j = 1;
  9. int count = 0, len = 0;
  10. while (j < transform.size()) {
  11. if (!transform.get(i).startsWith(transform.get(j))) {
  12. count++;
  13. len += transform.get(i).length();
  14. i = j;
  15. }
  16. j++;
  17. }
  18. count++;
  19. len += transform.get(i).length();
  20. return len + count;
  21. }
  22. }