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.