Write Python code to solve the task:
A non-empty string is called palindrome, if it reads the same from the left to the right and from the right to the left. For example, "abcba", "a", and "abba" are palindromes, while "abab" and "xy" are not.

A string is called a substring of another string, if it can be obtained from that string by dropping some (possibly zero) number of characters from the beginning and from the end of it. For example, "abc", "ab", and "c" are substrings of the string "abc", while "ac" and "d" are not.

Let's define a palindromic count of the string as the number of its substrings that are palindromes. For example, the palindromic count of the string "aaa" is 6 because all its substrings are palindromes, and the palindromic count of the string "abc" is 3 because only its substrings of length 1 are palindromes.

You are given a string s. You can arbitrarily rearrange its characters. You goal is to obtain a string with the maximum possible value of palindromic count.

Input

The first line contains an integer n (1 ≤ n ≤ 100 000) — the length of string s.

The second line contains string s that consists of exactly n lowercase characters of Latin alphabet.

Output

Print string t, which consists of the same set of characters (and each characters appears exactly the same number of times) as string s. Moreover, t should have the maximum possible value of palindromic count among all such strings strings.

If there are multiple such strings, print any of them.

Examples

Input

5
oolol


Output

ololo


Input

16
gagadbcgghhchbdf


Output

abccbaghghghgdfd

Note

In the first example, string "ololo" has 9 palindromic substrings: "o", "l", "o", "l", "o", "olo", "lol", "olo", "ololo". Note, that even though some substrings coincide, they are counted as many times as they appear in the resulting string.

In the second example, the palindromic count of string "abccbaghghghgdfd" is 29.
user
Step 1:  To solve this problem, we need to find a way to maximize the palindromic count of the given string.
Step 2:  We can rearrange the characters of the string to obtain the maximum possible palindromic count.
Step 3:  The key is to identify the pattern of characters to maximize the repeated substrings.
Step 4:  Sorting the characters of the string will group the same characters together, which can help in achieving the maximum palindromic count.
Step 5:  We can then output the string with the rearranged characters to achieve the goal.
```python
# Step 6:  Take the input length of the string n and the string s as input
t = input()
s = input()
# Step 7:  Convert the string s to a list of characters
l = list(s)
# Step 8:  Sort the list of characters to rearrange them in a way that maximizes the palindromic count
l.sort()
# Step 9:  Output the string with the rearranged characters to achieve the goal
print(''.join(l))

```
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