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>
//#pragma GCC optimize("unroll-loops")
//#pragma GCC optimize("-O3")
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("fast-math")
//#pragma GCC optimize("no-stack-protector")
#define F first
#define S second
#define sz(x) int(x.size())
#define pb push_back
#define N 100005
#define MOD ll(998244353)
using namespace std;
typedef long long ll;
typedef long double ld;
ld last[10001], now[10001];
vector <pair <ld, ld> > otr;
vector <int> conv;
ld cross(pair <ld, ld> a, pair <ld, ld> b) {return ld(ld(b.S - a.S) / ld(a.F - b.F));}
ld calc(int a, int b)
{
ld x = a;
ld y = b;
ld sm = 0;
if (y != 0) sm = x / y;
return last[b] + sm;
}
int main()
{
ios_base::sync_with_stdio(0); istream::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n, k;
cin >> n >> k;
for (int i = 0; i <= n; i++) {last[i] = 0; now[i] = 0;}
for (int j = 0; j < k; j++)
{
for (int i = 0; i <= n; i++)
{
int l = i, r = n;
while (l + 10 < r)
{
int mdl = l + (r - l) / 3;
int mdr = r - (r - l) / 3;
if (calc(mdl - i, mdl) > calc(mdr - i, mdr)) r = mdr; else l = mdl;
}
for (int j = l; j <= r; j++) now[i] = max(now[i], calc(j - i, j));
}
for (int i = 0; i <= n; i++) {last[i] = now[i]; now[i] = 0;}
}
cout << setprecision(9) << fixed;
cout << last[0];
}
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