# Short Encoding Of Words Problem

## Description

LeetCode Problem 820.

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
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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:

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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.

## Sample C++ Code

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class Solution {
public:
int minimumLengthEncoding(vector<string>& words) {
sort(words.begin(), words.end(), sortByLen);
string encoded = words + "#";

for (int i = 1; i < words.size(); i++) {
if (encoded.find(words[i] + "#") == -1)
encoded += words[i] + "#";
}

return encoded.size();
}

private:
static bool sortByLen(string &a, string &b) {
return a.size() > b.size();
}

};
``````