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 <iostream>
#include <algorithm>
#include <vector>
using namespace std;
#define int long long
double dp[200100];
int cou[200100];
int N;
int f(double c)
{
int s = 1;
int i;
dp[0] = 0;
for (i = 1; i <= N; i++)
{
dp[i] = (double)s / i;
dp[i] += dp[i-s]-c;
while (s < i)
{
double newdp = (double)(s + 1) / i + dp[i - s - 1] - c;
if (newdp > dp[i])
{
dp[i] = newdp;
s++;
}
else
break;
}
cou[i] = cou[i - s] + 1;
}
return cou[N];
}
signed main()
{
int M;
cin >> N >> M;
double s = 0, e = 10;
int i;
for (i = 0; i < 60; i++)
{
if (s >= e)
break;
double m = (s + e) / 2;
if (f(m) > M)
s = m;
else
e = m;
}
printf("%.15lf", dp[N]+M*s);
}
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