#include <bits/stdc++.h>
using namespace std;
#define int long long
#define INF (int)1e18
#define f first
#define s second
mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());
void Solve()
{
int n, k; cin >> n >> k;
vector <pair<int, int>> a(n);
for (auto &x : a){
cin >> x.f >> x.s;
swap(x.f, x.s);
if (x.f == -1) x.f = INF;
}
sort(a.begin(), a.end());
vector<vector<double>> dp(k + 1, vector<double>(k + 1, INF));
dp[0][0] = 0;
for (auto x : a){
// cout << x.f << " " << x.s << "\n";
vector<vector<double>> ndp(k + 1, vector<double>(k + 1, INF));
for (int i = 0; i <= k; i++){
for (int j = 0; j <= i; j++){
ndp[i][j] = min(ndp[i][j], dp[i][j]);
if (i != k){
ndp[i + 1][j] = min(ndp[i + 1][j], dp[i][j] + (double)x.s / (j + 1));
ndp[i + 1][j + 1] = min(ndp[i + 1][j + 1], dp[i][j] + (double)x.f / (j + 1));
}
}
}
dp = ndp;
// for (int i = 0; i <= k; i++){
// for (int j = 0; j <= k; j++){
// cout << dp[i][j] << " ";
// }
// cout << "\n";
// }
// cout << "\n";
}
double mn = INF;
for (int i = 0; i <= k; i++) mn = min(mn, dp[k][i]);
cout << fixed << setprecision(10) << mn << "\n";
}
int32_t main()
{
auto begin = std::chrono::high_resolution_clock::now();
ios_base::sync_with_stdio(0);
cin.tie(0);
int t = 1;
// cin >> t;
for(int i = 1; i <= t; i++)
{
//cout << "Case #" << i << ": ";
Solve();
}
auto end = std::chrono::high_resolution_clock::now();
auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
4 ms |
340 KB |
Output is correct |
6 |
Correct |
17 ms |
592 KB |
Output is correct |
7 |
Correct |
110 ms |
1452 KB |
Output is correct |
8 |
Correct |
253 ms |
2572 KB |
Output is correct |
9 |
Correct |
474 ms |
4448 KB |
Output is correct |
10 |
Correct |
229 ms |
2284 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
4 ms |
340 KB |
Output is correct |
6 |
Correct |
17 ms |
592 KB |
Output is correct |
7 |
Correct |
110 ms |
1452 KB |
Output is correct |
8 |
Correct |
253 ms |
2572 KB |
Output is correct |
9 |
Correct |
474 ms |
4448 KB |
Output is correct |
10 |
Correct |
229 ms |
2284 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
33 ms |
692 KB |
Output is correct |
13 |
Correct |
33 ms |
700 KB |
Output is correct |
14 |
Correct |
33 ms |
692 KB |
Output is correct |
15 |
Correct |
218 ms |
2596 KB |
Output is correct |
16 |
Correct |
217 ms |
2608 KB |
Output is correct |
17 |
Correct |
220 ms |
2284 KB |
Output is correct |
18 |
Correct |
474 ms |
4528 KB |
Output is correct |
19 |
Correct |
477 ms |
4520 KB |
Output is correct |
20 |
Correct |
472 ms |
4496 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
216 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Incorrect |
1 ms |
216 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
216 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Incorrect |
1 ms |
216 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
216 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Incorrect |
1 ms |
216 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
465 ms |
4488 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
4 ms |
340 KB |
Output is correct |
6 |
Correct |
17 ms |
592 KB |
Output is correct |
7 |
Correct |
110 ms |
1452 KB |
Output is correct |
8 |
Correct |
253 ms |
2572 KB |
Output is correct |
9 |
Correct |
474 ms |
4448 KB |
Output is correct |
10 |
Correct |
229 ms |
2284 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
33 ms |
692 KB |
Output is correct |
13 |
Correct |
33 ms |
700 KB |
Output is correct |
14 |
Correct |
33 ms |
692 KB |
Output is correct |
15 |
Correct |
218 ms |
2596 KB |
Output is correct |
16 |
Correct |
217 ms |
2608 KB |
Output is correct |
17 |
Correct |
220 ms |
2284 KB |
Output is correct |
18 |
Correct |
474 ms |
4528 KB |
Output is correct |
19 |
Correct |
477 ms |
4520 KB |
Output is correct |
20 |
Correct |
472 ms |
4496 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
324 KB |
Output is correct |
25 |
Correct |
1 ms |
216 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Incorrect |
1 ms |
216 KB |
Output isn't correct |
30 |
Halted |
0 ms |
0 KB |
- |