This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma target("arch=icelake-server")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("O3")
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")
#pragma GCC target("avx,avx2,sse,sse2,sse3,sse4,popcnt")
#include <vector>
#include <algorithm>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <stack>
#include <queue>
#include <cmath>
#include <random>
#include <chrono>
#include <iomanip>
#include <iostream>
using namespace std;
int log_ = 3;
int inf = 200000000000000;
int mod = 1102024631;
int p = 505;
bool cmp(pair <int, int> a, pair <int, int> b)
{
if (a.second < b.second)
{
return true;
}
return false;
}
double dp1[501][501];
vector <pair <int, int>> vp;
int k;
vector <double> ans__;
double c(int col)
{
if (ans__[col] != -1)
return ans__[col];
int n = vp.size();
for (int i = 0; i <= n; i++)
{
for (int j = 0; j <= n; j++)
{
dp1[i][j] = inf;
}
}
dp1[0][0] = 0;
for (int k = 0; k < n; k++)
{
for (int i = n; i >= 0; i--)
{
for (int j = n; j >= 0; j--)
{
if (i > 0)
{
if (vp[k].second != -1)
{
dp1[i][j] = min(dp1[i][j], dp1[i - 1][j] + ((0. + (col + 1) * vp[k].second) / i));
}
}
if (j > 0)
{
dp1[i][j] = min(dp1[i][j], dp1[i][j - 1] + ((0. + vp[k].first)));
}
}
}
}
double ans = inf;
for (int i = 0; i <= n; i++)
{
for (int j = 0; j <= n; j++)
{
if (i + j == k)
{
if (i == col)
{
ans = min(dp1[i][j], ans);
}
}
}
}
ans /= col + 1;
ans__[col] = ans;
return ans;
}
mt19937 rnd(15);
int rnd_(int l, int r)
{
int s = r - l + 1;
int x = rnd();
x = abs(x);
x %= (s + 1);
return l + x;
}
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
int n;
cin >> n >> k;
ans__.resize(n + 2, -1);
vp.resize(n);
for (int i = 0; i < n; i++)
{
int a, b;
cin >> a >> b;
vp[i] = { a, b };
}
sort(vp.begin(), vp.end(), cmp);
int l = 0;
int r = n;
for (int i = 0; i < n; i++)
{
if (vp[i].second == -1)
r--;
}
int sq = sqrt(r);
r = min(sq+10, r);
r = min(r, k);
while (r - l > 1)
{
int m = (l + r) /2;
if (c(m) < c(m + 1))
r = m;
else
l = m+1;
}
double ans = inf;
for (int i = l; i <= r; i++)
{
ans = min(c(i) , ans);
}
cout << fixed;
cout << setprecision(9);
cout << ans;
}
Compilation message (stderr)
Main.cpp:1: warning: ignoring '#pragma target ' [-Wunknown-pragmas]
1 | #pragma target("arch=icelake-server")
|
Main.cpp:5: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
5 | #pragma GCC optimization ("unroll-loops")
|
Main.cpp:26:11: warning: overflow in conversion from 'long int' to 'int' changes value from '200000000000000' to '552894464' [-Woverflow]
26 | int inf = 200000000000000;
| ^~~~~~~~~~~~~~~
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