#include "bits/stdc++.h"
#include <functional>
#include <iomanip>
#include <vector>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
int main() {
cin.tie(0)->sync_with_stdio(0);
int n, k;
cin >> n >> k;
vector<pii> pl(n + 5);
for (int i = 1; i <= n; i++) {
cin >> pl[i].first >> pl[i].second;
if (pl[i].second == -1) pl[i].second = 1e9;
}
sort(pl.begin() + 1, pl.begin() + n + 1, [](pii& u, pii& v) {
if (u.second == v.second) return u.first < v.first;
else return u.second < v.second;
});
// suffix[i][j] = min time cost to get j region in [i, n]
vector<vector<int>> suffix(n + 5, vector<int>(k + 5, 1e9));
for (int i = n; i >= 1; i--) {
for (int j = 0; j <= k; j++) {
if (j > n - i + 1) break; // j > no. of region in [i, n]
if (i == n) {
if (j == 0) suffix[i][j] = 0;
else if (j == 1) suffix[i][j] = pl[i].first;
}
else {
suffix[i][j] = suffix[i + 1][j];
if (j > 0) suffix[i][j] = min(suffix[i][j], suffix[i + 1][j - 1] + pl[i].first);
}
}
}
double ans = 1e16;
for (int coop = 0; coop <= k; coop++) {
// cout << "###" << coop << endl;
// assume will get coop coop-er at the end
// dp[i][j] = in [1, i], the actual min cost to get j coop-er and (i - j) no-coop region
vector<vector<double>> dp(n + 5, vector<double>(k + 5, 1e16));
for (int i = 1; i <= k; i++) {
for (int j = 0; j <= min(coop, i); j++) {
if (i == 1) {
if (j == 0) dp[i][j] = pl[i].first / (coop + 1.0);
if (j > 0 && pl[i].second != 1e9) dp[i][j] = pl[i].second;
}
else {
dp[i][j] = min(dp[i][j], dp[i - 1][j] + pl[i].first / (coop + 1.0));
if (j > 0 && pl[i].second != 1e9) {
dp[i][j] = min(dp[i][j], dp[i - 1][j - 1] + pl[i].second / (j - 1 + 1.0));
}
}
// cout << i << " " << j << " " << dp[i][j] << endl;
if (j == coop) {
// cout << "@" << i << " " << j << " " << dp[i][j] << " $ " << k - i << " " << suffix[i + 1][k - i] << " " << dp[i][j] + suffix[i + 1][k - i] / (coop + 1.0) << "\n";
if (i < k) {
ans = min(ans, dp[i][j] + suffix[i + 1][k - i] / (coop + 1.0));
}
else {
ans = min(ans, dp[i][j]);
}
}
}
}
}
cout << fixed << setprecision(9) << ans << "\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
692 KB |
Output is correct |
6 |
Correct |
21 ms |
1132 KB |
Output is correct |
7 |
Correct |
99 ms |
1768 KB |
Output is correct |
8 |
Correct |
241 ms |
2676 KB |
Output is correct |
9 |
Correct |
419 ms |
3572 KB |
Output is correct |
10 |
Correct |
188 ms |
2476 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
692 KB |
Output is correct |
6 |
Correct |
21 ms |
1132 KB |
Output is correct |
7 |
Correct |
99 ms |
1768 KB |
Output is correct |
8 |
Correct |
241 ms |
2676 KB |
Output is correct |
9 |
Correct |
419 ms |
3572 KB |
Output is correct |
10 |
Correct |
188 ms |
2476 KB |
Output is correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Correct |
31 ms |
1276 KB |
Output is correct |
13 |
Correct |
34 ms |
1280 KB |
Output is correct |
14 |
Correct |
31 ms |
1280 KB |
Output is correct |
15 |
Correct |
200 ms |
2524 KB |
Output is correct |
16 |
Correct |
201 ms |
2476 KB |
Output is correct |
17 |
Correct |
193 ms |
2872 KB |
Output is correct |
18 |
Correct |
480 ms |
3520 KB |
Output is correct |
19 |
Correct |
454 ms |
3500 KB |
Output is correct |
20 |
Correct |
434 ms |
3516 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
539 ms |
3536 KB |
Output is correct |
2 |
Correct |
477 ms |
3548 KB |
Output is correct |
3 |
Correct |
461 ms |
3536 KB |
Output is correct |
4 |
Correct |
459 ms |
3552 KB |
Output is correct |
5 |
Correct |
470 ms |
3576 KB |
Output is correct |
6 |
Correct |
465 ms |
3504 KB |
Output is correct |
7 |
Correct |
467 ms |
3568 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
692 KB |
Output is correct |
6 |
Correct |
21 ms |
1132 KB |
Output is correct |
7 |
Correct |
99 ms |
1768 KB |
Output is correct |
8 |
Correct |
241 ms |
2676 KB |
Output is correct |
9 |
Correct |
419 ms |
3572 KB |
Output is correct |
10 |
Correct |
188 ms |
2476 KB |
Output is correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Correct |
31 ms |
1276 KB |
Output is correct |
13 |
Correct |
34 ms |
1280 KB |
Output is correct |
14 |
Correct |
31 ms |
1280 KB |
Output is correct |
15 |
Correct |
200 ms |
2524 KB |
Output is correct |
16 |
Correct |
201 ms |
2476 KB |
Output is correct |
17 |
Correct |
193 ms |
2872 KB |
Output is correct |
18 |
Correct |
480 ms |
3520 KB |
Output is correct |
19 |
Correct |
454 ms |
3500 KB |
Output is correct |
20 |
Correct |
434 ms |
3516 KB |
Output is correct |
21 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
22 |
Halted |
0 ms |
0 KB |
- |