2130.Dense Subsequence

Time Limit: 1s Memory Limit: 256MB

You are given a string s, consisting of lowercase English letters, and the integer m.

One should choose some symbols from the given string so that any contiguous subsegment of length m has at least one selected symbol. Note that here we choose positions of symbols, not the symbols themselves.

Then one uses the chosen symbols to form a new string. All symbols from the chosen position should be used, but we are allowed to rearrange them in any order.

Formally, we choose a subsequence of indices 1 \le i1 \lt i2 \lt ... \lt it \le |s|. The selected sequence must meet the following condition: for every j such that 1 \le j \le |s|-m+1, there must be at least one selected index that belongs to the segment [j,j+m-1], i.e. there should exist a k from 1 to t, such that j \le ik \le j+m-1.

Then we take any permutation p of the selected indices and form a new string sip1sip2... sipt.

Find the lexicographically smallest string, that can be obtained using this procedure.

Input Format(From the terminal/stdin)

The first line of the input contains a single integer m (1 \le m \le 100000).

The second line contains the string s consisting of lowercase English letters. It is guaranteed that this string is non-empty and its length doesn't exceed 100000. It is also guaranteed that the number m doesn't exceed the length of the string s.

Output Format(To the terminal/stdout)

Print the single line containing the lexicographically smallest string, that can be obtained using the procedure described above.

Sample Input 1

Copy
3
cbabc
 \n
     \n

Sample Output 1

Copy
a
 \n

Sample Input 2

Copy
2
abcab
 \n
     \n

Sample Output 2

Copy
aab
   \n

Sample Input 3

Copy
3
bcabcbaccba
 \n
           \n

Sample Output 3

Copy
aaabb
     \n

Hints

In the first sample, one can choose the subsequence {3} and form a string "a".

In the second sample, one can choose the subsequence {1,2,4} (symbols on this positions are 'a', 'b' and 'a') and rearrange the chosen symbols to form a string "aab".

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