import java.util.*;
import java.io.*;
public class Main
{
    public static void main(String args[])throws Exception
    {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        PrintWriter pw=new PrintWriter(System.out);
        long x=Long.parseLong(br.readLine());
        long sum=100;
        int cntr=0;
        while(sum<x)
        {
            sum=sum+sum/100;
            cntr++;
        }
        pw.println(cntr);
        /*for(int x=0;x<q;x++)
        {
            String str[]=br.readLine().split(" ");
            int n=Integer.parseInt(str[0]);
            int m=Integer.parseInt(str[1]);
            String s=br.readLine();
        }*/
        pw.flush();
        pw.close();
    }
} import java.util.*; util.* java import java.io.*; io.* java public class Main
{
    public static void main(String args[])throws Exception
    {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        PrintWriter pw=new PrintWriter(System.out);
        long x=Long.parseLong(br.readLine());
        long sum=100;
        int cntr=0;
        while(sum<x)
        {
            sum=sum+sum/100;
            cntr++;
        }
        pw.println(cntr);
        /*for(int x=0;x<q;x++)
        {
            String str[]=br.readLine().split(" ");
            int n=Integer.parseInt(str[0]);
            int m=Integer.parseInt(str[1]);
            String s=br.readLine();
        }*/
        pw.flush();
        pw.close();
    }
} Main public static void main(String args[])throws Exception
    {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        PrintWriter pw=new PrintWriter(System.out);
        long x=Long.parseLong(br.readLine());
        long sum=100;
        int cntr=0;
        while(sum<x)
        {
            sum=sum+sum/100;
            cntr++;
        }
        pw.println(cntr);
        /*for(int x=0;x<q;x++)
        {
            String str[]=br.readLine().split(" ");
            int n=Integer.parseInt(str[0]);
            int m=Integer.parseInt(str[1]);
            String s=br.readLine();
        }*/
        pw.flush();
        pw.close();
    } main {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        PrintWriter pw=new PrintWriter(System.out);
        long x=Long.parseLong(br.readLine());
        long sum=100;
        int cntr=0;
        while(sum<x)
        {
            sum=sum+sum/100;
            cntr++;
        }
        pw.println(cntr);
        /*for(int x=0;x<q;x++)
        {
            String str[]=br.readLine().split(" ");
            int n=Integer.parseInt(str[0]);
            int m=Integer.parseInt(str[1]);
            String s=br.readLine();
        }*/
        pw.flush();
        pw.close();
    } BufferedReader br=new BufferedReader(new InputStreamReader(System.in)); br new BufferedReader(new InputStreamReader(System.in)) PrintWriter pw=new PrintWriter(System.out); pw new PrintWriter(System.out) long x=Long.parseLong(br.readLine()); x Long.parseLong(br.readLine()) Long.parseLong Long br.readLine() br.readLine br long sum=100; sum 100 int cntr=0; cntr 0 while(sum<x)
        {
            sum=sum+sum/100;
            cntr++;
        } sum<x sum x {
            sum=sum+sum/100;
            cntr++;
        } sum=sum+sum/100 sum sum+sum/100 sum sum/100 sum 100 cntr++ cntr pw.println(cntr) pw.println pw cntr pw.flush() pw.flush pw pw.close() pw.close pw String args[] args public class Main
{
    public static void main(String args[])throws Exception
    {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        PrintWriter pw=new PrintWriter(System.out);
        long x=Long.parseLong(br.readLine());
        long sum=100;
        int cntr=0;
        while(sum<x)
        {
            sum=sum+sum/100;
            cntr++;
        }
        pw.println(cntr);
        /*for(int x=0;x<q;x++)
        {
            String str[]=br.readLine().split(" ");
            int n=Integer.parseInt(str[0]);
            int m=Integer.parseInt(str[1]);
            String s=br.readLine();
        }*/
        pw.flush();
        pw.close();
    }
} public class Main
{
    public static void main(String args[])throws Exception
    {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        PrintWriter pw=new PrintWriter(System.out);
        long x=Long.parseLong(br.readLine());
        long sum=100;
        int cntr=0;
        while(sum<x)
        {
            sum=sum+sum/100;
            cntr++;
        }
        pw.println(cntr);
        /*for(int x=0;x<q;x++)
        {
            String str[]=br.readLine().split(" ");
            int n=Integer.parseInt(str[0]);
            int m=Integer.parseInt(str[1]);
            String s=br.readLine();
        }*/
        pw.flush();
        pw.close();
    }
} Main
import java.util.*;
import java.io.*;
public class Main
{
    public static void main(String args[])throws Exception
    {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        PrintWriter pw=new PrintWriter(System.out);
        long x=Long.parseLong(br.readLine());
        long sum=100;
        int cntr=0;
        while(sum<x)
        {
            sum=sum+sum/100;
            cntr++;
        }
        pw.println(cntr);
        /*for(int x=0;x<q;x++)
        {
            String str[]=br.readLine().split(" ");
            int n=Integer.parseInt(str[0]);
            int m=Integer.parseInt(str[1]);
            String s=br.readLine();
        }*/
        pw.flush();
        pw.close();
    }
}