Problem:
Score : 200 points

Problem Statement

Given is an integer N. Find the number of digits that N has in base K.

Notes

For information on base-K representation, see Positional notation - Wikipedia.

Constraints

All values in input are integers.

1 \leq N \leq 10^9

2 \leq K \leq 10

Input

Input is given from Standard Input in the following format:

N K

Output

Print the number of digits that N has in base K.

Sample Input 1

11 2

Sample Output 1

4

In binary, 11 is represented as 1011.

Sample Input 2

1010101 10

Sample Output 2

7

Sample Input 3

314159265 3

Sample Output 3

18

Solution in C++ (GCC 9.2.1) (judge verdict: Accepted)

#include<iostream>
#include<algorithm>
#include<vector>
#include<queue>
#include<stack>
#include<string>
#include<map>
#include<set>
#include<tuple>
#include<cmath>
#include<iomanip>


using namespace std;
typedef long long ll;
typedef vector<ll> v;
typedef vector<vector<ll>> vv;


#define MOD 1000000007
#define INF 1001001001
#define MIN -1001001001
#define rep(i,k,N) for(int i=k;i<N;i++)
#define MP make_pair
#define MT make_tuple //tie,make_tuple は別物
#define PB push_back
#define PF push_front
#define all(x) (x).begin(),(x).end()


int dx[4]={1,0,-1,0};
int dy[4]={0,1,0,-1};


int main(){
    ll N,K;
    cin>>N>>K;
    ll ans = 0;
    while(N>0){
        N/=K;
        ans++;
    }
    cout<<ans;
    return 0;
}