

import java.math.BigDecimal;
import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        final Scanner scanner = new Scanner(System.in);
        final int n = scanner.nextInt();
        final int k = scanner.nextInt();

        double result = 0;

        for (int i = 1; i <= n; i++) {
            final double a = Math.log(k) / Math.log(2);
            final double b = Math.log(i) / Math.log(2);
            double ceil = Math.ceil(a - b);
            if(ceil < 0){
                ceil = 0;
            }
            final double pow = Math.pow(0.5, ceil);
            result += pow;
        }

        System.out.println(result / n);
    }
}

/tmp/hf-datasets-cache/medium/datasets/42704881117311-config-parquet-and-info-qiankunmu-Project_CodeNet-896c9d36/hub/datasets--qiankunmu--Project_CodeNet_Python800_and_Java250/snapshots/c899fde44a77ba1cc14973ed3de064e4ff3aadc7/Project_CodeNet_Java250.tar.gz