#include <bits/stdc++.h>
using namespace std;
int main() {
int n, k;
cin >> n >> k;
vector<long long> A(n), B(n);
for (int i = 0; i < n; i++) {
cin >> A[i] >> B[i];
B[i] = (B[i] == -1 ? 1000000000 : B[i]);
}
vector<int> order(n);
iota(order.begin(), order.end(), 0);
sort(order.begin(), order.end(), [&](int i, int j) {
return (B[i] == B[j] ? A[i] > A[j] : B[i] < B[j]);
});
long double ans = 1e9;
for (int m = 0; m <= k; m++) {
vector dp(n + 1, vector<long double>(m + 1, 1e9));
dp[0][0] = 0;
for (int i = 0; i < n; i++) {
for (int j = 0; j <= i && j <= m; j++) {
if (j + 1 <= m) {
dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + (long double)B[order[i]] / (j + 1));
}
dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + (long double)A[order[i]] / (m + 1));
}
}
for (int p = m; p <= n; p++) {
vector<long long> C;
for (int i = p; i < n; i++) {
C.push_back(A[order[i]]);
}
sort(C.begin(), C.end());
if ((int)C.size() < k - m) {
break;
}
long double res = dp[p][m];
for (int i = 0; i < k - m; i++) {
res += (long double)C[i] / (m + 1);
}
ans = min(ans, res);
}
}
cout << fixed << setprecision(9) << ans << "\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
82 ms |
800 KB |
Output is correct |
6 |
Correct |
203 ms |
1648 KB |
Output is correct |
7 |
Correct |
412 ms |
2528 KB |
Output is correct |
8 |
Correct |
602 ms |
3608 KB |
Output is correct |
9 |
Correct |
750 ms |
4556 KB |
Output is correct |
10 |
Correct |
557 ms |
3284 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
82 ms |
800 KB |
Output is correct |
6 |
Correct |
203 ms |
1648 KB |
Output is correct |
7 |
Correct |
412 ms |
2528 KB |
Output is correct |
8 |
Correct |
602 ms |
3608 KB |
Output is correct |
9 |
Correct |
750 ms |
4556 KB |
Output is correct |
10 |
Correct |
557 ms |
3284 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
273 ms |
1720 KB |
Output is correct |
13 |
Correct |
362 ms |
1760 KB |
Output is correct |
14 |
Correct |
272 ms |
1688 KB |
Output is correct |
15 |
Correct |
623 ms |
3460 KB |
Output is correct |
16 |
Correct |
672 ms |
3336 KB |
Output is correct |
17 |
Correct |
596 ms |
3448 KB |
Output is correct |
18 |
Correct |
840 ms |
4728 KB |
Output is correct |
19 |
Correct |
778 ms |
4620 KB |
Output is correct |
20 |
Correct |
799 ms |
4656 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
771 ms |
4504 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
82 ms |
800 KB |
Output is correct |
6 |
Correct |
203 ms |
1648 KB |
Output is correct |
7 |
Correct |
412 ms |
2528 KB |
Output is correct |
8 |
Correct |
602 ms |
3608 KB |
Output is correct |
9 |
Correct |
750 ms |
4556 KB |
Output is correct |
10 |
Correct |
557 ms |
3284 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
273 ms |
1720 KB |
Output is correct |
13 |
Correct |
362 ms |
1760 KB |
Output is correct |
14 |
Correct |
272 ms |
1688 KB |
Output is correct |
15 |
Correct |
623 ms |
3460 KB |
Output is correct |
16 |
Correct |
672 ms |
3336 KB |
Output is correct |
17 |
Correct |
596 ms |
3448 KB |
Output is correct |
18 |
Correct |
840 ms |
4728 KB |
Output is correct |
19 |
Correct |
778 ms |
4620 KB |
Output is correct |
20 |
Correct |
799 ms |
4656 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
30 |
Halted |
0 ms |
0 KB |
- |