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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections;
using System.Collections.Generic;
using System.Linq;
using System.Numerics;
using System.Text;
using System.Threading;
using System.Threading.Tasks;

namespace ConsoleApp2
{
    class Program
    {
        static void Main(string[] args)
        {
            var NKC = Console.ReadLine().Split(' ').Select(s=>int.Parse(s)).ToArray();
            var N = NKC[0];
            var K = NKC[1];
            var C = NKC[2];
            var S = Console.ReadLine().Select(c=>c== 'o').ToArray();
            var ansT = new List<int[]>();
            for (var i = 0; i < N; i++)
            {
                ansT.Add(new int[] { int.MinValue, int.MaxValue });
            }
            var cnt = 1;
            for (var i = 0; i < N; i++)
            {
                if (S[i])
                {
                    ansT[i][0] = cnt;
                    cnt++;
                    i += C;
                }
            }
            cnt = K;
            for (var i = N-1; 0<=i ; i--)
            {
                if (S[i])
                {
                    ansT[i][1] = cnt;
                    cnt--;
                    i -= C;
                }
            }
            for(var i=0;i<N;i++)
            {
                if (ansT[i][0] == ansT[i][1]) Console.WriteLine(i + 1);
            }

        }

    }
}