You are given a string s consisting of lowercase English letters.

The frequency group for a value k is the set of characters that appear exactly k times in s.

The majority frequency group is the frequency group that contains the largest number of distinct characters.

Return a string containing all characters in the majority frequency group, in any order. If two or more frequency groups tie for that largest size, pick the group whose frequency k is larger.

 

Example 1:

Input: s = "aaabbbccdddde"

Output: "ab"

Explanation:

Frequency (k) Distinct characters in group Group size Majority?
4 {d} 1 No
3 {a, b} 2 Yes
2 {c} 1 No
1 {e} 1 No

Both characters 'a' and 'b' share the same frequency 3, they are in the majority frequency group. "ba" is also a valid answer.

Example 2:

Input: s = "abcd"

Output: "abcd"

Explanation:

Frequency (k) Distinct characters in group Group size Majority?
1 {a, b, c, d} 4 Yes

All characters share the same frequency 1, they are all in the majority frequency group.

Example 3:

Input: s = "pfpfgi"

Output: "fp"

Explanation:

Frequency (k) Distinct characters in group Group size Majority?
2 {p, f} 2 Yes
1 {g, i} 2 No (tied size, lower frequency)

Both characters 'p' and 'f' share the same frequency 2, they are in the majority frequency group. There is a tie in group size with frequency 1, but we pick the higher frequency: 2.

 

Constraints: