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 {
	Scanner sc = new Scanner(System.in);
	final int MOD = 1000000007;
	final int MAX = Integer.MAX_VALUE;
	final long LMAX = Long.MAX_VALUE;


	void doIt() {
		boolean end = true;
		char[] c = sc.next().toCharArray();
		int cnt[] = new int[c.length];
		Arrays.fill(cnt,  0);
		for(int i = 0; i < c.length;) {
			int l = i;
			while(c[i] == 'R') {
				i++;
			}
			int r = i;
			while(c[r] == 'L') {
				r++;
				if(r >= c.length) {
					end = false;
					break;
				}
			}
			//System.out.println(l +  " >>> " + r);
			if((i - l) % 2 != 0) {
				cnt[i - 1] ++ ;
			}
			cnt[i - 1] += (i - l) / 2;
			cnt[i] += (i - l) / 2;
			if((r - i) % 2 != 0) {
				cnt[i]++ ;
			}
			cnt[i - 1] += (r - i) / 2;
			cnt[i] += (r - i) / 2;

			//System.out.println("i:" + i);
			i = r;
			//System.out.println("i:" + i);
		}
		for(int i = 0; i < c.length; i++) {
			System.out.print(cnt[i] + " ");
		}
		System.out.println();
	}

	public static void main(String[] args) {
		new Main().doIt();
	}
}
