Author:  A. Klenin  Time limit:  1 sec  
Input file:  input.txt  Memory limit:  256 Mb  
Output file:  output.txt 
Many compression algorithms are based on finding frequently repeating substrings in the input data. Since it is often impractical to search the whole input for repetitions, only a limited compression window is considered on each step.
While researching a new compression algorithm, young computer scientist Vasya encountered the following problem.
Given input string of N bits, let the compression window be any substring of M bits. Inside each compression window, find the maximum number of occurrences of any substring of length L (L ≤ M).
In the sample input 1 below, compression window length is equal to string length, so there is only a single window. Most frequent substring of length 2 is 01, which occurs 5 times.
First line of input file contains integers L M. Second line input file contains a string of length N, each character either 0 or 1.
Output file must contain N − M + 1 integers — maximum substring frequencies for each compression window.
1 ≤ M ≤ N ≤ 2 × 10^{5}, 1 ≤ L ≤ 100
No.  Input file (input.txt ) 
Output file (output.txt ) 

1 


2 

