#include <bits/stdc++.h>
#define int long long
#define IO ios::sync_with_stdio(0), cin.tie(0)
#define FOR(i, a, b) for (int i = a; i <= b; i++)
using namespace std;
using pii = pair<int, int>;
const int N = 505;
const int INF = 1e9;
const double dINF = 1e9;
pii a[N];
signed main() {
IO;
int n, tar;
cin >> n >> tar;
FOR(i, 1, n) {
cin >> a[i].first >> a[i].second;
if (a[i].second == -1)
a[i].second = INF;
}
sort(a + 1, a + n + 1, [&](pii p, pii q) {
return p.second < q.second;
});
vector<vector<double>> dp(n + 1, vector<double>(n + 1, dINF));
dp[0][0] = 0;
for (int i = 1; i <= n; i++) {
vector<vector<double>> ndp(n + 1, vector<double>(n + 1, dINF));
for (int j = 0; j < i; j++) {
for (int k = 0; k <= j; k++) {
if (fabs(dp[j][k] - dINF) > 0.001) {
ndp[j][k] = min(ndp[j][k], dp[j][k]);
if (a[i].second < INF)
ndp[j + 1][k + 1] = min(ndp[j + 1][k + 1], dp[j][k] + (double)a[i].second / (k + 1));
ndp[j + 1][k] = min(ndp[j + 1][k], dp[j][k] + (double)a[i].first / (k + 1));
}
}
}
swap(dp, ndp);
}
double ans = dINF;
for (int k = 0; k <= n; k++)
ans = min(ans, dp[tar][k]);
cout << fixed << setprecision(15) << ans << "\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
171 ms |
4708 KB |
Output is correct |
6 |
Correct |
175 ms |
4624 KB |
Output is correct |
7 |
Correct |
171 ms |
4784 KB |
Output is correct |
8 |
Correct |
173 ms |
4736 KB |
Output is correct |
9 |
Correct |
167 ms |
4604 KB |
Output is correct |
10 |
Correct |
171 ms |
4680 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
171 ms |
4708 KB |
Output is correct |
6 |
Correct |
175 ms |
4624 KB |
Output is correct |
7 |
Correct |
171 ms |
4784 KB |
Output is correct |
8 |
Correct |
173 ms |
4736 KB |
Output is correct |
9 |
Correct |
167 ms |
4604 KB |
Output is correct |
10 |
Correct |
171 ms |
4680 KB |
Output is correct |
11 |
Correct |
0 ms |
600 KB |
Output is correct |
12 |
Correct |
215 ms |
4740 KB |
Output is correct |
13 |
Correct |
203 ms |
4632 KB |
Output is correct |
14 |
Correct |
200 ms |
4664 KB |
Output is correct |
15 |
Correct |
212 ms |
4632 KB |
Output is correct |
16 |
Correct |
241 ms |
4560 KB |
Output is correct |
17 |
Correct |
195 ms |
4888 KB |
Output is correct |
18 |
Correct |
220 ms |
4588 KB |
Output is correct |
19 |
Correct |
246 ms |
4604 KB |
Output is correct |
20 |
Correct |
184 ms |
4740 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
360 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
360 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
360 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
237 ms |
4588 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
171 ms |
4708 KB |
Output is correct |
6 |
Correct |
175 ms |
4624 KB |
Output is correct |
7 |
Correct |
171 ms |
4784 KB |
Output is correct |
8 |
Correct |
173 ms |
4736 KB |
Output is correct |
9 |
Correct |
167 ms |
4604 KB |
Output is correct |
10 |
Correct |
171 ms |
4680 KB |
Output is correct |
11 |
Correct |
0 ms |
600 KB |
Output is correct |
12 |
Correct |
215 ms |
4740 KB |
Output is correct |
13 |
Correct |
203 ms |
4632 KB |
Output is correct |
14 |
Correct |
200 ms |
4664 KB |
Output is correct |
15 |
Correct |
212 ms |
4632 KB |
Output is correct |
16 |
Correct |
241 ms |
4560 KB |
Output is correct |
17 |
Correct |
195 ms |
4888 KB |
Output is correct |
18 |
Correct |
220 ms |
4588 KB |
Output is correct |
19 |
Correct |
246 ms |
4604 KB |
Output is correct |
20 |
Correct |
184 ms |
4740 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
344 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
344 KB |
Output is correct |
27 |
Correct |
0 ms |
360 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
30 |
Halted |
0 ms |
0 KB |
- |