Problem:
Score : 500 points

Problem Statement

Takahashi has decided to work on K days of his choice from the N days starting with tomorrow.

You are given an integer C and a string S. Takahashi will choose his workdays as follows:

After working for a day, he will refrain from working on the subsequent C days.

If the i-th character of S is x, he will not work on Day i, where Day 1 is tomorrow, Day 2 is the day after tomorrow, and so on.

Find all days on which Takahashi is bound to work.

Constraints

1 \leq N \leq 2 \times 10^5

1 \leq K \leq N

0 \leq C \leq N

The length of S is N.

Each character of S is o or x.

Takahashi can choose his workdays so that the conditions in Problem Statement are satisfied.

Input

Input is given from Standard Input in the following format:

N K C
S

Output

Print all days on which Takahashi is bound to work in ascending order, one per line.

Sample Input 1

11 3 2
ooxxxoxxxoo

Sample Output 1

6

Takahashi is going to work on 3 days out of the 11 days. After working for a day, he will refrain from working on the subsequent 2 days.

There are four possible choices for his workdays: Day 1,6,10, Day 1,6,11, Day 2,6,10, and Day 2,6,11.

Thus, he is bound to work on Day 6.

Sample Input 2

5 2 3
ooxoo

Sample Output 2

1
5

There is only one possible choice for his workdays: Day 1,5.

Sample Input 3

5 1 0
ooooo

Sample Output 3

There may be no days on which he is bound to work.

Sample Input 4

16 4 3
ooxxoxoxxxoxoxxo

Sample Output 4

11
16

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.Set;
import java.util.TreeSet;

public class Main {
  private static final String DELIMITER = " ";
  public static void main(String[] args) throws IOException {
    BufferedReader reader = getReader();
    String input = reader.readLine();
    String[] n_m = input.split(DELIMITER);
    Arrays.stream(n_m).reduce("",(a, b) -> a + b);
    int numbDay = Integer.parseInt(n_m[0]);
    int working = Integer.parseInt(n_m[1]);
    int sleeping = Integer.parseInt(n_m[2]);

    char[] days = reader.readLine().toCharArray();
    if(sleeping == 0){
      return;
    }

    List<Integer> count = new ArrayList<>();
    Set<Integer> result = new TreeSet<>();
    int index = 0;
    for (int d = 0; index < numbDay && d < working; index++) {
      char day = days[index];
      if(day == 'o'){
        count.add(index);
        d++;
        index += sleeping;
      }
    }

    for (int d = 0, i = numbDay-1; i >= 0 && d < working; i--) {
      char day = days[i];
      if(day == 'o'){
        if(count.contains(i)){
          result.add(i);
        }
        d++;
        i -= sleeping;
      }
    }
    result.stream().limit(working).forEach(r -> System.out.println(r + 1));
  }

  static BufferedReader getReader(){
    return new BufferedReader(new InputStreamReader(System.in));
  }
}