Given a string s, sort it in decreasing order based on the frequency of the characters. The frequency of a character is the number of times it appears in the string.
Return the sorted string. If there are multiple answers, return any of them.
Example 1:
Input: s = "tree"
Output: "eert"
Explanation: 'e' appears twice while 'r' and 't' both appear once.
So 'e' must appear before both 'r' and 't'. Therefore "eetr" is also a valid answer.
Example 2:
Input: s = "cccaaa"
Output: "aaaccc"
Explanation: Both 'c' and 'a' appear three times, so both "cccaaa" and "aaaccc" are valid answers.
Note that "cacaca" is incorrect, as the same characters must be together.
Example 3:
Input: s = "Aabb"
Output: "bbAa"
Explanation: "bbaA" is also a valid answer, but "Aabb" is incorrect.
Note that 'A' and 'a' are treated as two different characters.
Constraints:
1 <= s.length <= 5 * 105
s consists of uppercase and lowercase English letters and digits.
Solutions
Solution 1: Hash Table + Sorting
We use a hash table $\textit{cnt}$ to count the occurrences of each character in the string $s$. Then, we sort the key-value pairs in $\textit{cnt}$ in descending order by the number of occurrences. Finally, we concatenate the characters according to the sorted order.
The time complexity is $O(n + k \times \log k)$, and the space complexity is $O(n + k)$, where $n$ is the length of the string $s$, and $k$ is the number of distinct characters.