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>
#define pii pair<int,int>
#define ft first
#define sd second
using namespace std;
typedef long long ll;
typedef long double ld;
const int N = 3010;
const ll OO = 1e18;
const ld E = 1e-9;
ld f[N][N];
int n, k;
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
// freopen("in.txt","r",stdin);
cin >> n >> k;
for (int i = 0; i <= k; i++)
for (int j = 0; j <= n; j++)
f[i][j] = -1.0;
f[0][n] = 0.0;
for (int i = 0; i < k; i++)
for (int j = 1; j <= n; j++){
if (f[i][j] < -E) continue;
for (int nw = 1; nw <= j; nw++) {
ld ad = f[i][j] + ld(nw) / ld(j);
if (f[i + 1][j - nw] + E < ad)
f[i + 1][j - nw] = ad;
}
}
cout << fixed << setprecision(10) << f[k][0];
return 0;
}
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