#include <bits/stdc++.h>
//#pragma GCC optimize("O3")
//#pragma GCC target("avx,avx2,fma")
#define sz(x) int((x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
using namespace std;
using ll = long long;
using ld = long double; // or double, if TL is tight
using str = string;
using ii = pair<int, int>;
using pl = pair<ll, ll>;
using vi = vector<int>;
using vll = vector<ll>;
int main() {
cin.tie(0);
ios_base::sync_with_stdio(0);
int n, k;
cin >> n >> k;
vector<ii> V(n);
for(int i = 0; i < n; ++i) {
cin >> V[i].first >> V[i].second;
if(V[i].second == -1) V[i].second = 1e9;
}
sort(all(V), [&](auto a, auto b) {
if(a.second != b.second) return a.second < b.second;
return a < b;
});
vi A(n), B(n);
for(int i = 0; i < n; ++i) {
A[i] = V[i].first;
B[i] = V[i].second;
}
const ld INF = 1e18;
vector<vector<vector<ld> > > DP(n, vector(k + 1, vector<ld>(k + 1, INF)));
ld re = INF;
for(int nr = 0; nr <= k; ++nr) {
for(int i = 0; i < n; ++i)
for(int j = 0; j <= k; ++j)
for(int w = 0; w <= k; ++w) DP[i][j][w] = INF;
ld fact = 1. / ld(nr + 1);
DP[0][1][0] = fact * A[0];
DP[0][0][1] = B[0];
DP[0][0][0] = 0.;
for(int i = 0; i + 1 < n; ++i) {
for(int j = 0; j <= k; ++j) //nr A
for(int w = 0; w <= k; ++w) {
if(j + 1 <= k)
DP[i + 1][j + 1][w] = min(DP[i + 1][j + 1][w], DP[i][j][w] + fact * A[i + 1]);
if(w + 1 <= k)
DP[i + 1][j][w + 1] = min(DP[i + 1][j][w + 1], DP[i][j][w] + B[i + 1] / ld(w + 1));
DP[i + 1][j][w] = min(DP[i + 1][j][w], DP[i][j][w]);
}
}
re = min(re, DP[n - 1][k - nr][nr]);
}
cout << fixed << setprecision(10) << re << "\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
504 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1310 ms |
21860 KB |
Output is correct |
6 |
Execution timed out |
2562 ms |
127316 KB |
Time limit exceeded |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
504 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1310 ms |
21860 KB |
Output is correct |
6 |
Execution timed out |
2562 ms |
127316 KB |
Time limit exceeded |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
452 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
404 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
460 KB |
Output is correct |
10 |
Correct |
1 ms |
600 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
452 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
404 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
460 KB |
Output is correct |
10 |
Correct |
1 ms |
600 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
456 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
456 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
2 ms |
348 KB |
Output is correct |
23 |
Correct |
2 ms |
344 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
4 ms |
604 KB |
Output is correct |
26 |
Correct |
5 ms |
624 KB |
Output is correct |
27 |
Correct |
1 ms |
460 KB |
Output is correct |
28 |
Correct |
2 ms |
600 KB |
Output is correct |
29 |
Correct |
1 ms |
344 KB |
Output is correct |
30 |
Correct |
3 ms |
348 KB |
Output is correct |
31 |
Correct |
2 ms |
528 KB |
Output is correct |
32 |
Correct |
2 ms |
504 KB |
Output is correct |
33 |
Correct |
2 ms |
344 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
2 ms |
456 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
2 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
2 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
452 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
404 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
460 KB |
Output is correct |
10 |
Correct |
1 ms |
600 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
456 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
456 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
2 ms |
348 KB |
Output is correct |
23 |
Correct |
2 ms |
344 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
4 ms |
604 KB |
Output is correct |
26 |
Correct |
5 ms |
624 KB |
Output is correct |
27 |
Correct |
1 ms |
460 KB |
Output is correct |
28 |
Correct |
2 ms |
600 KB |
Output is correct |
29 |
Correct |
1 ms |
344 KB |
Output is correct |
30 |
Correct |
3 ms |
348 KB |
Output is correct |
31 |
Correct |
2 ms |
528 KB |
Output is correct |
32 |
Correct |
2 ms |
504 KB |
Output is correct |
33 |
Correct |
2 ms |
344 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
2 ms |
456 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
2 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
2 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
8 ms |
860 KB |
Output is correct |
42 |
Correct |
8 ms |
856 KB |
Output is correct |
43 |
Correct |
57 ms |
1884 KB |
Output is correct |
44 |
Correct |
59 ms |
2136 KB |
Output is correct |
45 |
Correct |
267 ms |
4752 KB |
Output is correct |
46 |
Correct |
249 ms |
4760 KB |
Output is correct |
47 |
Correct |
564 ms |
7584 KB |
Output is correct |
48 |
Correct |
570 ms |
7580 KB |
Output is correct |
49 |
Correct |
1057 ms |
11136 KB |
Output is correct |
50 |
Correct |
1040 ms |
11136 KB |
Output is correct |
51 |
Correct |
1998 ms |
16988 KB |
Output is correct |
52 |
Correct |
2017 ms |
16964 KB |
Output is correct |
53 |
Correct |
551 ms |
7588 KB |
Output is correct |
54 |
Correct |
559 ms |
7580 KB |
Output is correct |
55 |
Correct |
558 ms |
7584 KB |
Output is correct |
56 |
Correct |
548 ms |
7588 KB |
Output is correct |
57 |
Correct |
569 ms |
7580 KB |
Output is correct |
58 |
Correct |
546 ms |
7580 KB |
Output is correct |
59 |
Correct |
550 ms |
7516 KB |
Output is correct |
60 |
Correct |
586 ms |
7588 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
718 ms |
1048576 KB |
Execution killed with signal 9 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
504 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1310 ms |
21860 KB |
Output is correct |
6 |
Execution timed out |
2562 ms |
127316 KB |
Time limit exceeded |
7 |
Halted |
0 ms |
0 KB |
- |