101614: [AtCoder]ABC161 E - Yutori

Memory Limit:256 MB Time Limit:2 S
Judge Style:Text Compare Creator:
Submit:0 Solved:0

Description

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

Input

题意翻译

高桥打算在$N$天中工作$K$天。给定一个串$S$。 ①如果$S_i$是'x',那么在第$i$天高桥不工作; ②如果高桥在某一天工作了,那么接下来他就会休息$C$天。 请问,高桥在哪些天他**不得不工作以达到在$N$天中恰好工作$K$天的要求**? 详见输出格式。

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