import java.io.PrintWriter
import java.util.*
import java.math.*
import java.lang.*
import kotlin.comparisons.*

val pw = PrintWriter(System.out)
val MOD: Long = (1e+9 + 7).toLong()

fun main(args: Array<String>) {
    val (n, k) = readListOfInt()
    var ans = 0.0

    for(i in 1 until Math.min(n+1, k)) {
        var powNum = 0
        var tmp = i
        while(tmp < k) {
            tmp *= 2
            powNum++
        }
        tmp /= i
        ans += 1.0 / tmp.toDouble()
    }
    ans += Math.max(0.0, (n - k + 1).toDouble())

    // 最後に 1/n
    ans /= n.toDouble()
    println(ans.format(10))
    pw.flush()
}

/****** Declared Functions and Data Structures ******/
// IO
fun read() = readLine()!!
fun readInt() = read().toInt()
fun readLong() = read().toLong()
fun readDouble() = read().toDouble()
fun readListOfString() = read().split(" ")
fun readListOfInt() = readListOfString().map { it.toInt() }
fun readListOfLong() = readListOfString().map { it.toLong() }
fun readListOfDouble() = readListOfString().map { it.toDouble() }

fun Double.format(digits: Int) = String.format("%.${digits}f", this)
fun Float.format(digits: Int) = String.format("%.${digits}f", this)

fun print(value: Any) { pw.print(value) }
fun println(value : Any) { pw.println(value) }

// Extensions
fun<T> List<T>.toBuckets(): Map<T, Int>
    = this.groupBy { it }.mapValues { it.value.size }

fun<T: Comparable<T>> List<T>.upperBound(element: T, fromIndex: Int=0, toIndex: Int=this.size): Int {
    var l = fromIndex
    var r = toIndex
    while(l < r) {
        val mid = (l+r) / 2
        if(element >= this[mid]) { 
            l = mid + 1
        } else {
            r = mid
        }
    }
    return l
}

fun<T: Comparable<T>> List<T>.lowerBound(element: T, fromIndex: Int=0, toIndex: Int=this.size): Int {
    var l = fromIndex
    var r = toIndex
    while(l < r) {
        val mid = (l+r) / 2
        if(element <= this[mid]) { 
            r = mid
        } else {
            l = mid + 1
        }
    }
    return r 
}

fun <K, V> Map<K, V>.toMutableMap(): MutableMap<K, V> = HashMap(this)

// Util Functions
fun Long.makeDivisors(): List<Long> {
    val divisors = mutableListOf<Long>()
    for(i in 1L .. Math.sqrt(this.toDouble()).toLong()+1L) {
        if(this % i == 0L) {
            divisors.add(i)
            if(i != this/i) {
                divisors.add(this/i)
            }
        }
    }
    return divisors.distinct().sorted()
}

fun Long.isPrime(): Boolean {
    if(this==1L) return false
    for(i in 2L .. Math.sqrt(this.toDouble()).toLong() + 1L) {
        if(this % i == 0L && this != i) {
            return false
        }
    }
    return true
}


fun<T> permutations(src: List<T>): List<List<T>> {
    if(src.size == 1) return listOf(src)
    val perms = mutableListOf<List<T>>()
    val insertElement = src[0]
    permutations(src.drop(1)).forEach { perm ->
        for(i in 0..perm.size) {
            val newPerm = perm.toMutableList()
            newPerm.add(i, insertElement)
            perms.add(newPerm.toList())
        }
    }
    return perms
}

// return nCr, if you want nCr, please access v[n][r]
fun combinations(n: Long): List<List<Long>> {
    val v = (0..n).map { (0..n).map{0L}.toMutableList() }.toMutableList()
    for(i in 0 until v.size) {
        v[i][0] = 1L
        v[i][i] = 1L
    }
    for(i in 0 until v.size) {
        for(j in 1 until i) {
            v[i][j] = (v[i-1][j-1] + v[i-1][j]) % MOD
        }
    }
    return v.map { it.toList() }.toList()
}

// return nCr % MOD
fun modCombinations(n: Int, k: Int, mod: Long): Long {
    val factorials = Array(n+1) { 0L }.apply {
        this[0] = 1L
        if(this.size > 1) this[1] = 1L
    }
    val inverses = Array(n+1) { 0L }.apply {
        this[0] = 1L
        if(this.size > 1) this[1] = 1L
    }
    val factorialInverses = Array(n+1) { 0L }.apply {
        this[0] = 1L
        if(this.size > 1) this[1] = 1L
    }
    for(i in 2 .. n) {
        factorials[i] = (factorials[i-1] * i.toLong() % mod)
        inverses[i] = (mod - inverses[mod.toInt() % i] * (mod / i.toLong()) % mod)
        factorialInverses[i] = (factorialInverses[i-1] * inverses[i] % mod)
    }

    return factorials[n] % mod * (factorialInverses[k] * factorialInverses[n-k] % mod) % mod
}

// should be a >= b
fun gcd(a: Long, b: Long): Long = 
    if(b == 0L) a else gcd(b, a % b)

// shoud be a >= b
fun lcm(a: Long, b: Long): Long = 
    a / gcd(a, b) * b

fun sumDigits(num_: Long): Long {
    var num = num_
    var rtn: Long = 0
    while(num != 0.toLong()) {
        val tmp = num % 10
        rtn += tmp
        num /= 10
    }
    return rtn
}

fun Double.isDecimal(): Boolean = ((this - Math.floor(this)) != 0.0)

// Data Structures
class Stack<T>(private var st: MutableList<T> = mutableListOf<T>()) {
    fun isEmpty() = st.isEmpty()
    fun top(): T = st.last()
    fun push(e: T) { st.add(e) }
    fun pop() { st = st.dropLast(1).toMutableList() }
}

class Queue<T>(private var que: MutableList<T> = mutableListOf<T>()) {
    fun isEmpty() = que.isEmpty()
    fun top(): T = que.first()
    fun push(e: T) { que.add(e) }
    fun pop() { que = que.drop(1).toMutableList() }
}


Measured memory_bytes: 35956