#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MX = 505;
int N, K;
int a[MX], b[MX];
double dp[MX][MX][MX];
vector<pair<int, int>> v;
double f(int x) {
for(int i = 0; i <= N; i++)
for(int j = 0; j <= min(i, K); j++)
for(int k = 0; k <= min(i, x); k++)
dp[i][j][k] = 1e9;
dp[0][0][0] = 0;
for(int i = 0; i < N; i++) {
for(int j = 0; j <= min(i, K); j++) { // votes
for(int k = 0; k <= min(i, x); k++) { // num of collaborator
if(dp[i][j][k] == 1e9) continue;
// skip
dp[i + 1][j][k] = min(dp[i + 1][j][k], dp[i][j][k]);
// ambil vote
dp[i + 1][j + 1][k] = min(dp[i + 1][j + 1][k], dp[i][j][k] + (double) v[i].second / (x + 1));
// ambil collaborator
if(v[i].first != 1e9)
dp[i + 1][j + 1][k + 1] = min(dp[i + 1][j + 1][k + 1], dp[i][j][k] + (double) v[i].first / (k + 1));
}
}
}
return dp[N][K][x];
}
int main() {
cin.tie(0); ios_base::sync_with_stdio(0);
cin >> N >> K;
int tot = 0;
for(int i = 1; i <= N; i++) {
cin >> a[i] >> b[i];
if(b[i] != -1) tot++;
else b[i] = 1e9;
v.push_back({b[i], a[i]});
}
sort(v.begin(), v.end());
double ans = 1e9;
int mid = min(K, tot) / 2;
for(int i = max(0, mid - 5); i <= min(min(K, tot), mid + 5); i++) ans = min(ans, f(i));
cout << fixed << setprecision(15) << ans << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
37 ms |
99812 KB |
Output is correct |
6 |
Correct |
72 ms |
221644 KB |
Output is correct |
7 |
Correct |
117 ms |
375588 KB |
Output is correct |
8 |
Correct |
140 ms |
467752 KB |
Output is correct |
9 |
Correct |
151 ms |
498328 KB |
Output is correct |
10 |
Correct |
140 ms |
454404 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
37 ms |
99812 KB |
Output is correct |
6 |
Correct |
72 ms |
221644 KB |
Output is correct |
7 |
Correct |
117 ms |
375588 KB |
Output is correct |
8 |
Correct |
140 ms |
467752 KB |
Output is correct |
9 |
Correct |
151 ms |
498328 KB |
Output is correct |
10 |
Correct |
140 ms |
454404 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Incorrect |
469 ms |
257752 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
468 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
0 ms |
468 KB |
Output is correct |
6 |
Correct |
0 ms |
468 KB |
Output is correct |
7 |
Correct |
0 ms |
468 KB |
Output is correct |
8 |
Correct |
0 ms |
468 KB |
Output is correct |
9 |
Correct |
0 ms |
468 KB |
Output is correct |
10 |
Correct |
0 ms |
468 KB |
Output is correct |
11 |
Correct |
0 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
468 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
0 ms |
468 KB |
Output is correct |
6 |
Correct |
0 ms |
468 KB |
Output is correct |
7 |
Correct |
0 ms |
468 KB |
Output is correct |
8 |
Correct |
0 ms |
468 KB |
Output is correct |
9 |
Correct |
0 ms |
468 KB |
Output is correct |
10 |
Correct |
0 ms |
468 KB |
Output is correct |
11 |
Correct |
0 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
724 KB |
Output is correct |
17 |
Correct |
1 ms |
980 KB |
Output is correct |
18 |
Correct |
1 ms |
980 KB |
Output is correct |
19 |
Correct |
1 ms |
1236 KB |
Output is correct |
20 |
Correct |
1 ms |
1236 KB |
Output is correct |
21 |
Correct |
1 ms |
1236 KB |
Output is correct |
22 |
Correct |
1 ms |
1236 KB |
Output is correct |
23 |
Correct |
1 ms |
1236 KB |
Output is correct |
24 |
Correct |
1 ms |
1236 KB |
Output is correct |
25 |
Correct |
1 ms |
1236 KB |
Output is correct |
26 |
Correct |
1 ms |
1236 KB |
Output is correct |
27 |
Incorrect |
1 ms |
1236 KB |
Output isn't correct |
28 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
468 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
0 ms |
468 KB |
Output is correct |
6 |
Correct |
0 ms |
468 KB |
Output is correct |
7 |
Correct |
0 ms |
468 KB |
Output is correct |
8 |
Correct |
0 ms |
468 KB |
Output is correct |
9 |
Correct |
0 ms |
468 KB |
Output is correct |
10 |
Correct |
0 ms |
468 KB |
Output is correct |
11 |
Correct |
0 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
724 KB |
Output is correct |
17 |
Correct |
1 ms |
980 KB |
Output is correct |
18 |
Correct |
1 ms |
980 KB |
Output is correct |
19 |
Correct |
1 ms |
1236 KB |
Output is correct |
20 |
Correct |
1 ms |
1236 KB |
Output is correct |
21 |
Correct |
1 ms |
1236 KB |
Output is correct |
22 |
Correct |
1 ms |
1236 KB |
Output is correct |
23 |
Correct |
1 ms |
1236 KB |
Output is correct |
24 |
Correct |
1 ms |
1236 KB |
Output is correct |
25 |
Correct |
1 ms |
1236 KB |
Output is correct |
26 |
Correct |
1 ms |
1236 KB |
Output is correct |
27 |
Incorrect |
1 ms |
1236 KB |
Output isn't correct |
28 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1586 ms |
499148 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
37 ms |
99812 KB |
Output is correct |
6 |
Correct |
72 ms |
221644 KB |
Output is correct |
7 |
Correct |
117 ms |
375588 KB |
Output is correct |
8 |
Correct |
140 ms |
467752 KB |
Output is correct |
9 |
Correct |
151 ms |
498328 KB |
Output is correct |
10 |
Correct |
140 ms |
454404 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Incorrect |
469 ms |
257752 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |