azarasi / LeetCode 5302. Encrypt and Decrypt Strings

Created Sun, 03 Apr 2022 17:10:49 +0800 Modified Wed, 18 Sep 2024 14:00:22 +0000

You are given a character array keys containing unique characters and a string array values containing strings of length 2. You are also given another string array dictionary that contains all permitted original strings after decryption. You should implement a data structure that can encrypt or decrypt a 0-indexed string.

A string is encrypted with the following process:

  1. For each character c in the string, we find the index i satisfying keys[i] == c in keys.
  2. Replace c with values[i] in the string.

A string is decrypted with the following process:

  1. For each substring s of length 2 occurring at an even index in the string, we find an i such that values[i] == s. If there are multiple valid i, we choose any one of them. This means a string could have multiple possible strings it can decrypt to.
  2. Replace s with keys[i] in the string.

Implement the Encrypter class:

  • Encrypter(char[] keys, String[] values, String[] dictionary) Initializes the Encrypter class with keys, values, and dictionary.
  • String encrypt(String word1) Encrypts word1 with the encryption process described above and returns the encrypted string.
  • int decrypt(String word2) Returns the number of possible strings word2 could decrypt to that also appear in dictionary.

Example 1:

Input [“Encrypter”, “encrypt”, “decrypt”] [[[‘a’, ‘b’, ‘c’, ’d’], [“ei”, “zf”, “ei”, “am”], [“abcd”, “acbd”, “adbc”, “badc”, “dacb”, “cadb”, “cbda”, “abad”]], [“abcd”], [“eizfeiam”]] Output [null, “eizfeiam”, 2]

Explanation

Encrypter encrypter = new Encrypter([['a', 'b', 'c', 'd'], ["ei", "zf", "ei", "am"], ["abcd", "acbd", "adbc", "badc", "dacb", "cadb", "cbda", "abad"]);
encrypter.encrypt("abcd"); // return "eizfeiam".
                           // 'a' maps to "ei", 'b' maps to "zf", 'c' maps to "ei", and 'd' maps to "am".
encrypter.decrypt("eizfeiam"); // return 2.
                              // "ei" can map to 'a' or 'c', "zf" maps to 'b', and "am" maps to 'd'.
                              // Thus, the possible strings after decryption are "abad", "cbad", "abcd", and "cbcd".
                              // 2 of those strings, "abad" and "abcd", appear in dictionary, so the answer is 2.

Constraints:

  • 1 <= keys.length == values.length <= 26
  • values[i].length == 2
  • 1 <= dictionary.length <= 100
  • 1 <= dictionary[i].length <= 100
  • All keys[i] and dictionary[i] are unique.
  • 1 <= word1.length <= 2000
  • 1 <= word2.length <= 200
  • All word1[i] appear in keys.
  • word2.length is even.
  • keys, values[i], dictionary[i], word1, and word2 only contain lowercase English letters.
  • At most 200 calls will be made to encrypt and decrypt in total.
  • For encryption, use hashmap to map each char of word1 to its value.
  • For decryption, use trie to prune when necessary.

Solution

对于解密操作,不妨逆向思考,即加密所有 dictionary 中的字符串。用哈希表记录每个加密后的字符串的出现次数。这样每次调用 decrypt 时,返回哈希表中 word2​ 的出现次数即可。

class Encrypter {
    array<string, 26> mp;
    unordered_map<string, int> cnt;
public:
    Encrypter(vector<char> &keys, vector<string> &values, vector<string> &dictionary) {
        for (int i = 0; i < keys.size(); ++i)
            mp[keys[i] - 'a'] = values[i];
        for (auto &s : dictionary)
            ++cnt[encrypt(s)];
    }

    string encrypt(string word1) {
        string res;
        for (char ch : word1) {
            auto &s = mp[ch - 'a'];
            if (s == "") return "";
            res += s;
        }
        return res;
    }

    int decrypt(string word2) {
        return cnt.count(word2) ? cnt[word2] : 0;    // 防止把不在 cnt 中的字符串加进去
    }
};