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 Fortran (gfortran v4.8.4) (judge verdict: Accepted)

program em
  implicit none
  integer::N,K,C
  character(3*10**5)::S,S1
  integer,allocatable,dimension(:)::M,U
  integer::i,j
  integer::num
  read*,N,K,C
  read*,S
  allocate(M(K))
  S1=S
  num=1
  do i=1,N
    if(S1(i:i)=="o")then        
      M(num)=i
      num=num+1
      do j=1,C
        S1(i+j:i+j)="x"
      end do
      if(Num>K)exit
    endif
  end do
  S1=S
  allocate(U(K))
  num=K
  do i=N,1,-1
    if(S1(i:i)=="o")then
      U(num)=i
      num=num-1
      if(NUM<=0)exit
      do j=1,C
        if(i-j<=0)exit
        S1(i-j:i-j)="x"
      end do
    endif
  end do
  do i=1,K
    if(M(i)==U(i))print"(I0)",M(i)
  end do
  write(*,*)
contains

end program em