package projecteuler51to60;

import java.math.BigInteger;

import java.util.Iterator;

import java.util.Set;

import java.util.TreeSet;

class level57{

    void solve0(){

/***

        a      a+2b

       ---    -------

        b       a+b

***/

        int count = 0;

        BigInteger a=BigInteger.valueOf(3);

        BigInteger b=BigInteger.valueOf(2);

        for(int i=0;i<1000;i++){

            BigInteger tempA =caculateA(a,b);

            BigInteger tempB =caculateB(a,b);

            a = tempA;

            b = tempB;

            if(a.toString().length()>b.toString().length()){

                count++;

            }

        }

        System.out.println(count);

    }

    BigInteger caculateA(BigInteger a,BigInteger b){

        BigInteger res = a;

        res=res.add(b);

        res=res.add(b);

        return res;

    }

    BigInteger caculateB(BigInteger a,BigInteger b){

        BigInteger res =a;

        res = res.add(b);

        return res;

    }

}

public class Problem57 {

    public static void main(String[] args){

        long begin= System.currentTimeMillis();

        new level57().solve0();

        long end = System.currentTimeMillis();

        long Time = end - begin;

        System.out.println("Time:"+Time/1000+"s"+Time%1000+"ms");

    }

}