// Vaidik Patel(India)
// DA-IICT
#include <bits/stdc++.h>
using namespace std;
//********************************************
#include<ext/pb_ds/assoc_container.hpp> // include the associative containers or group of templates such as set, multimap, map etc.
#include<ext/pb_ds/tree_policy.hpp> // include the tree_order_statistics_node update
using namespace __gnu_pbds; //necessary for the GNU based Policy based data structures.
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
//********************************************
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
#define precision(x,d) cout<<fixed<<setprecision(d)<<x
#define minheap priority_queue<ll,vector<ll>,greater<ll> >
#define maxheap priority_queue<ll,vector<ll>,less<ll> >
#define FOR(i,a,b) for(ll i=a;i<b;i++)
#define rFOR(i,a,b) for(ll i=a;i>=b;i--)
#define deb1(x) cout<<#x<<" : "<<x<<endl;
#define deb2(x,y) cout<<#x<<" : "<<x<<"\t"<<#y<<" : "<<y<<endl;
#define deb3(x,y,z) cout<<#x<<" : "<<x<<"\t"<<#y<<" : "<<y<<"\t"<<#z<<" : "<<z<<endl;
#define deb4(x,y,z,w) cout<<#x<<" : "<<x<<"\t"<<#y<<" : "<<y<<"\t"<<#z<<" : "<<z<<"\t"<<#w<<" : "<<w<<endl;
#define deb5(a, b, c, d, e)    cout<<#a<<": "<<a<<" | "<<#b<<": "<<b<<" | "<<#c<<": "<<c<<" | "<<#d<<": "<<d<<" | "<<#e<< ": "<<e<<endl;
#define deb6(a, b, c, d, e, f) cout<<#a<<": "<<a<<" | "<<#b<<": "<<b<<" | "<<#c<<": "<<c<<" | "<<#d<<": "<<d<<" | "<<#e<< ": "<<e<<" | "<<#f<<": "<<f<<endl;
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define ff first
#define ss second
#define FIO ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define TIME cerr << "Time Elapsed : "<<1.0*clock()/CLOCKS_PER_SEC<<"\n";
#define lc 2*idx
#define rc 2*idx+1
ll powermodm(ll x,ll n,ll mod)
{ll result=1;while(n>0){if(n % 2 ==1)result=(result * x)%mod;x=(x*x)%mod;n=n/2;}return result;}
ll power(ll ,ll);
int ones(ll);
void extendedEuclid(ll, ll);
ll MMI(ll, ll);
vector<ll>prime;
void findprime(void);
ll phi(ll num);
vector<int>isprime;
void precomputeprime(int N);
vector<int>prephi;
void precomputephi(int N);
inline int read();
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef vector<ll> vll;
typedef vector<int> vi;
typedef vector<vector<int>> vvi;
typedef vector<vector<ll>> vvll;
#define pb push_back
#define M  1000000007
//////////////////////////////////////////////////////////////////////////////

int main()
{
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    
    ll n;
    cin>>n;
    ll x=100,c=0;
    for(;;)
    {
        //deb1(x/100);
        x+=(x/100);
        c++;
        //deb2(c,x)
        if(x>=n)
        {
            break;
        }
    }
    cout<<c<<"\n";
    return 0;
}
//////////////////////////////////////////////////////////////////////////

//precomputedprime()
void precomputeprime(int N)
{
    isprime.resize(N);
    isprime.assign(N,1);
    isprime[0]=0;
    isprime[1]=0;
    for(int i=2;i*i<=500005;i++)
    {
        if(isprime[i])
        {
            for(int j=i*i;j<=500005;j+=i)
            {
                isprime[j]=0;
            }
        }
    }
}
//"""euler totient function""": counts the number of integers between 1 and n inclusive, which are coprime to n.
ll phi(ll num) // find using factorization in O(sqrt(N)).....
{
    ll result=num;
    for(ll i=2;i*i<=num;i++)
    {
        if(num%i==0)
        {
            while(num%i==0)
            {
                num/=i;
            }
            result-=(result/i);
        }
    }
    if(num>1)
    {
        result-=(result/num);
    }
    return result;
}

void findprime(void)
{
    int N=1e6+5;
    vector<bool>isprime(N,1); //up to 1e6+5 number
    for(int i=2;i*i<=N;i++)
    {
        if(isprime[i])
        {
            for(int j=i*i;j<=N;j+=i)
            {
                if(isprime[j])
                {
                    isprime[j]=0;
                }
            }
        }
    }

    for(int i=2;i<=N;i++)
    {
        if(isprime[i])
        {
            prime.pb(i);
        }
    }

}
ll power(ll a , ll n)
{
    unsigned long long int result=1,x=a;
    while(n>0)
    {
        if(n % 2 ==1)
            result=result * x;
        x = x * x;
        n=n/2;
    }
    return result;
}

//store gcd of a,b in d
//store solution of a*x + b*y = d in x,y
// if gcd(a,b)=1 then x = a^(-1)(mod b) and y = b^(-1)(mod a)
ll d111, x111, y111;
void extendedEuclid(ll A, ll B) {
    if(B == 0) {
        d111 = A;
        x111 = 1;
        y111 = 0;
    }
    else
    {
        extendedEuclid(B, A%B);
        int temp = x111;
        x111 = y111;
        y111 = temp - (A/B)*y111;
    }
}
// return modulo inverse of a wrt modulo p(should be prime)
// retunt -1 if modulo inverse does not exist
ll MMI(ll a, ll p)
{
    extendedEuclid(a,p);
    if(d111==1 && p!=1)
        return ((x111%p)+p)%p;
    else
        return -1;
}


Measured memory_bytes: 3660