Problem:
Score : 300 points

Problem Statement

As a token of his gratitude, Takahashi has decided to give his mother an integer sequence.
The sequence A needs to satisfy the conditions below:

A consists of integers between X and Y (inclusive).

For each 1\leq i \leq |A|-1, A_{i+1} is a multiple of A_i and strictly greater than A_i.

Find the maximum possible length of the sequence.

Constraints

1 \leq X \leq Y \leq 10^{18}

All input values are integers.

Input

Input is given from Standard Input in the following format:

X Y

Output

Print the maximum possible length of the sequence.

Sample Input 1

3 20

Sample Output 1

3

The sequence 3,6,18 satisfies the conditions.

Sample Input 2

25 100

Sample Output 2

3

Sample Input 3

314159265 358979323846264338

Sample Output 3

31

Solution in C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<bits/stdc++.h>
#define int long long
#define fi first
#define se second
#define PB push_back
using namespace std;
typedef pair<int, int> P1;
typedef pair<int, pair<int, int> > P2;
static const int INF = 1ll<<60;
static const double EPS = 0.000000000000001;
static const int dx[] = { 1, -1, 0, 0, };
static const int dy[] = { 0, 0, 1, -1 };
static const int mod = 1000000007;

int X,Y;

signed main(){
    cin>>X>>Y;
    int length=(int)(log2(Y)-log2(X)+EPS+1.0);
    if(X*pow(2,length)>Y)length--;
    if(X*pow(2,length)<Y)length++;
    cout<<length<<endl;
}