
#include <stdio.h>
#define maxn 200010
int L[maxn],R[maxn],lc,rc;
char s[maxn];
int main(){
	int n,k,c,i;
	scanf("%d%d%d%s",&n,&k,&c,s+1);
	for(i=1;i<=n;){//正向寻找
		if(s[i]=='o'){
			L[++lc]=i,i+=c;
			if(lc==k)break;
		}
		i++;
	}
	for(i=n;i>=1;){//反向寻找
		if(s[i]=='o'){
			R[++rc]=i,i-=c;
			if(rc==k)break;
		}
		i--;
	}
	for(i=1;i<=k;i++)//重合工作日的寻找
		if(L[i]==R[k-i+1])printf("%d\n",L[i]);
	return 0;
}

### Prompt

Construct a cpp code solution to the problem outlined:

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.

Examples

Input

11 3 2
ooxxxoxxxoo


Output

6


Input

5 2 3
ooxoo


Output

1
5


Input

5 1 0
ooooo


Output




Input

16 4 3
ooxxoxoxxxoxoxxo


Output

11
16

### Response

```cpp

#include <stdio.h>
#define maxn 200010
int L[maxn],R[maxn],lc,rc;
char s[maxn];
int main(){
	int n,k,c,i;
	scanf("%d%d%d%s",&n,&k,&c,s+1);
	for(i=1;i<=n;){//正向寻找
		if(s[i]=='o'){
			L[++lc]=i,i+=c;
			if(lc==k)break;
		}
		i++;
	}
	for(i=n;i>=1;){//反向寻找
		if(s[i]=='o'){
			R[++rc]=i,i-=c;
			if(rc==k)break;
		}
		i--;
	}
	for(i=1;i<=k;i++)//重合工作日的寻找
		if(L[i]==R[k-i+1])printf("%d\n",L[i]);
	return 0;
}

```