This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 3010;
int vis[MAXN][MAXN],N,K;
double dp[MAXN][MAXN];
double solve(int n,int k){
if(vis[n][k]) return dp[n][k];
vis[n][k] = 1;
if(k == 0) return dp[n][k] = 0;
double tot = 0;
for(int i = 1;n - i >= k-1;i++){
tot = max(tot, double(i)/double(n) + solve(n - i,k-1));
}
return dp[n][k] = tot;
}
int main(){
cin >> N >> K;
printf("%.9lf\n",solve(N,K));
return 0;
}
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