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 dbg(x) cerr << #x << " = " << x << "\n"
#define fast_io ios_base::sync_with_stdio(0); cin.tie(0); cout.tie()
using namespace std;
using ll = long long;
using ld = long double;
int n, m;
ld f[5000][5000];
int main() {
fast_io;
cin >> n >> m;
for (int i = 0; i <= m; ++i)
for (int j = 0; j <= n; ++j)
f[i][j] = -1;
f[0][n] = 0;
for (int t = 0; t < m; ++t)
for (int i = 1; i <= n; ++i) {
if (f[t][i] == -1)
continue;
for (int j = 1; j <= min(i, (n / (t + 1))); ++j)
f[t + 1][i - j] = max(f[t + 1][i - j], (i * f[t][i] + j) / i);
}
cout.precision(8); cout << fixed;
cout << f[m][0];
}
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