#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
#define db double
#define ll __int128
#define int long long
#define pb push_back
#define fs first
#define sd second
#define Mod long(1e9 + 7)
#define all(x) x.begin(), x.end()
#define unvisited long(-1)
#define Eps double(1e-9)
#define _for(i, n) for(int i = 0; i < (n); i++)
#define dbg(x) cout << #x ": " << x << endl;
const int Max = 1e6 + 7, Inf = 1e9 + 7;
void print(bool x) { cout << (x ? "YES" : "NO") << endl; }
string tostring (__int128 x)
{
string ans = "";
while(x > 0)
{
ans += (x % 10 + '0');
x /= 10;
}
reverse(all(ans));
return ans;
}
void printdb(double ans, int k)
{
cout << setiosflags(ios::fixed)
<< setiosflags(ios::showpoint)
<< setprecision(k) << ans << endl;
}
pair <db, db> fmin(pair<db, db> a, pair <db, db> b, db j)
{
if(db(a.fs + a.sd / j) < db(b.fs + b.sd / j))
return a;
else
return b;
}
void solve()
{
int n, m; cin >> n >> m;
vector <pair<db, db>> v(n);
for(auto& u : v)
{
cin >> u.sd >> u.fs;
if(u.fs == -1) u.fs = Inf;
}
sort(all(v)); db ans = Inf;
vector <vector<vector<pair<db, db>>>> dp(n + 5, vector <vector<pair<db, db>>> (
m + 5, vector <pair<db, db>> (m + 5, { Inf, Inf })
)); dp[0][1][0].fs = dp[0][1][0].sd = 0.000;
for(db i = 0; i < n; i++)
{
for(db j = 1; j <= m; j++)
{
for(db k = 0; k <= m; k++)
{
pair <db, db> f1 = dp[i][j][k], f2 = dp[i][j][k]; //{ dp[i][j][k].fs, dp[i][j][k].sd + v[i].sd }
f1.sd += v[i].sd; f2.fs += v[i].fs;
dp[i+1][j][k] = fmin(dp[i+1][j][k], dp[i][j][k], j);
dp[i+1][j][k+1] = fmin(dp[i+1][j][k+1], f1, j);
if(v[i].fs != Inf)
{
dp[i+1][j+1][k+1] = fmin(dp[i+1][j+1][k+1], f2, j + 1); // dp[i][j][k] + v[i].fs / j
}
}
ans = min(ans, dp[i+1][j][m].fs + dp[i+1][j][m].sd / j);
}
}
printdb(ans, 5);
}
int32_t main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
int Q = 1; //cin >> Q;
while (Q--)
{
solve();
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
27 ms |
25436 KB |
Output is correct |
6 |
Correct |
146 ms |
137044 KB |
Output is correct |
7 |
Correct |
550 ms |
520528 KB |
Output is correct |
8 |
Runtime error |
403 ms |
1048576 KB |
Execution killed with signal 9 |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
27 ms |
25436 KB |
Output is correct |
6 |
Correct |
146 ms |
137044 KB |
Output is correct |
7 |
Correct |
550 ms |
520528 KB |
Output is correct |
8 |
Runtime error |
403 ms |
1048576 KB |
Execution killed with signal 9 |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
408 ms |
1048576 KB |
Execution killed with signal 9 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
27 ms |
25436 KB |
Output is correct |
6 |
Correct |
146 ms |
137044 KB |
Output is correct |
7 |
Correct |
550 ms |
520528 KB |
Output is correct |
8 |
Runtime error |
403 ms |
1048576 KB |
Execution killed with signal 9 |
9 |
Halted |
0 ms |
0 KB |
- |