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 dp[5001][5001];
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++)
for (int j = 0; j <= k; j++) dp[i][j] = 0;
for (int i = n; i >= 0; i--)
for (int j = 0; j < k; j++)
for (int u = 0; u <= i; u++)
{
ld x = i;
ld y = u;
ld sm = 0;
if (x != 0) sm = y / x;
if (dp[i][j] + sm > dp[i - u][j + 1]) dp[i - u][j + 1] = dp[i][j] + sm;
}
cout << setprecision(9) << fixed;
cout << dp[0][k];
}
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