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 Ruby (2.3.3) (judge verdict: Accepted)

n, k, c = gets.split.map(&:to_i)
s       = gets.chomp

limit_l = Array.new(200123,0)
limit_r = Array.new(200123,0)

bef = -2 * c - 1
cnt =  0
n.times do |i|
  break if cnt >= k
  if s[i] == 'o' && i - bef > c
    limit_l[cnt] = i + 1
    cnt += 1
    bef = i
  end
end

bef =  n + 2 * c + 1
cnt =  0
(n-1).downto(0) do |i|
  break if cnt >= k
  if s[i] == 'o' && bef - i > c
    limit_r[cnt] = i + 1
    cnt += 1
    bef = i
  end
end

k.times do |i|
  if limit_l[i] == limit_r[k-1-i] && limit_l[i] != 0
    puts limit_l[i]
  end
end