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# Short Encoding of Words

Updated: Mar 24, 2021

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:

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

```

Example 2:

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

```

Constraints:

• 1 <= words.length <= 2000

• 1 <= words[i].length <= 7

• words[i] consists of only lowercase letters.

Solution:

```class Solution {
public int minimumLengthEncoding(String[] words) {
Set<String> set=new HashSet(Arrays.asList(words));
for(String word:words)
{
for(int i=1;i<word.length();i++)
{
set.remove(word.substring(i));
}
}
int result =0;
for(String word:set)
{
result+=word.length()+1;
}
return result;
}
}```