Given is a string S consisting of `L` and `R`.

Let N be the length of S. There are N squares arranged from left to right, and the i-th character of S from the left is written on the i-th square from the left.

The character written on the leftmost square is always `R`, and the character written on the rightmost square is always `L`.

Initially, one child is standing on each square.

Each child will perform the move below 10^{100} times:

* Move one square in the direction specified by the character written in the square on which the child is standing. `L` denotes left, and `R` denotes right.



Find the number of children standing on each square after the children performed the moves.

Constraints

* S is a string of length between 2 and 10^5 (inclusive).
* Each character of S is `L` or `R`.
* The first and last characters of S are `R` and `L`, respectively.

Input

Input is given from Standard Input in the following format:


S


Output

Print the number of children standing on each square after the children performed the moves, in order from left to right.

Examples

Input

RRLRL


Output

0 1 2 1 1


Input

RRLLLLRLRRLL


Output

0 3 3 0 0 0 1 1 0 2 2 0


Input

RRRLLRLLRRRLLLLL


Output

0 0 3 2 0 2 1 0 0 0 4 4 0 0 0 0
import java.util.*;
public class Main{
	public static void main(String[] args){
    	Scanner sc = new Scanner(System.in);
      char[] c = sc.next().toCharArray();
      int n = c.length;
      int cnt = 1;
      Queue<Integer> q = new ArrayDeque<>();
      for(int i = 1;i < n;i++){
      	if(c[i]==c[i-1])cnt++;
        else{
          q.add(cnt);
          cnt = 1;
        }
      }
      q.add(cnt);
      while(q.size()!=0){
      	int a = q.poll();
        int b = q.poll();
        for(int i = 1;i <= a-1;i++)System.out.print(0+" ");
        System.out.print(b/2+(a+1)/2);
        System.out.print(" ");
        System.out.print((b+1)/2+a/2);
        if(b!=1||q.size()!=0)System.out.print(" ");
        for(int i = 1;i <= b-1;i++){
          if(q.size()==0&&i==b-1)System.out.print(0);
          else System.out.print(0+" ");
        }
      }
      System.out.println("");
    }
}