#include <bits/stdc++.h>
#define ll long long
#define ar array
#define db double
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define rint(l, r) uniform_int_distribution<int>(l, r)(rng)
template<typename T> bool ckmin(T &a, const T &b) { return a > b ? a = b, 1 : 0; }
template<typename T> bool ckmax(T &a, const T &b) { return a < b ? a = b, 1 : 0; }
void test_case() {
int n, k;
cin >> n >> k;
vector<ar<int, 2>> a(n);
for (auto &x : a) cin >> x[0] >> x[1];
// let us use z people in the end
// then, we must first take z-1 Bs, and those Bs will be taken in increasing order
// As must be taken afterwards and can be taken in arbitrary order
db ans = 1e18;
int cnt = 0;
for (int i = 0; i < n; i++) cnt += bool(~a[i][1]);
sort(all(a), [&](const auto &A, const auto &B) { return A[1] < B[1]; });
for (int i = 1; i <= min(cnt, k) + 1; i++) {
vector<vector<db>> dp(k+1, vector<db>(i+1, 1e18));
dp[0][1] = 0;
for (int j = 0; j < n; j++) {
for (int got = k-1; got >= 0; got--) {
for (int l = 1; l <= i; l++) {
if (~a[j][1] && l + 1 <= i) {
ckmin(dp[got+1][l+1], dp[got][l] + (db)a[j][1] / l);
}
ckmin(dp[got+1][l], dp[got][l] + (db)a[j][0] / i);
}
}
}
ckmin(ans, dp[k][i]);
}
cout << fixed << setprecision(10) << ans << '\n';
}
int main() {
cin.tie(0)->sync_with_stdio(0);
int t = 1;
// cin >> t;
while (t--) test_case();
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
1 ms |
344 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 |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
1 ms |
344 KB |
Output is correct |
| 9 |
Correct |
1 ms |
600 KB |
Output is correct |
| 10 |
Correct |
1 ms |
424 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
1 ms |
344 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 |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
1 ms |
344 KB |
Output is correct |
| 9 |
Correct |
1 ms |
600 KB |
Output is correct |
| 10 |
Correct |
1 ms |
424 KB |
Output is correct |
| 11 |
Correct |
1 ms |
348 KB |
Output is correct |
| 12 |
Correct |
1486 ms |
1108 KB |
Output is correct |
| 13 |
Correct |
1233 ms |
1128 KB |
Output is correct |
| 14 |
Correct |
417 ms |
852 KB |
Output is correct |
| 15 |
Execution timed out |
2505 ms |
1048 KB |
Time limit exceeded |
| 16 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 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 |
604 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
460 KB |
Output is correct |
| 7 |
Correct |
0 ms |
344 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
0 ms |
348 KB |
Output is correct |
| 10 |
Correct |
0 ms |
456 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
344 KB |
Output is correct |
| 14 |
Correct |
0 ms |
348 KB |
Output is correct |
| 15 |
Correct |
0 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 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 |
604 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
460 KB |
Output is correct |
| 7 |
Correct |
0 ms |
344 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
0 ms |
348 KB |
Output is correct |
| 10 |
Correct |
0 ms |
456 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
344 KB |
Output is correct |
| 14 |
Correct |
0 ms |
348 KB |
Output is correct |
| 15 |
Correct |
0 ms |
348 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
0 ms |
348 KB |
Output is correct |
| 18 |
Correct |
0 ms |
348 KB |
Output is correct |
| 19 |
Correct |
1 ms |
348 KB |
Output is correct |
| 20 |
Correct |
0 ms |
348 KB |
Output is correct |
| 21 |
Correct |
0 ms |
348 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 |
344 KB |
Output is correct |
| 25 |
Correct |
1 ms |
344 KB |
Output is correct |
| 26 |
Correct |
1 ms |
348 KB |
Output is correct |
| 27 |
Correct |
0 ms |
348 KB |
Output is correct |
| 28 |
Correct |
0 ms |
464 KB |
Output is correct |
| 29 |
Correct |
0 ms |
348 KB |
Output is correct |
| 30 |
Correct |
0 ms |
348 KB |
Output is correct |
| 31 |
Correct |
1 ms |
348 KB |
Output is correct |
| 32 |
Correct |
1 ms |
348 KB |
Output is correct |
| 33 |
Correct |
0 ms |
348 KB |
Output is correct |
| 34 |
Correct |
0 ms |
456 KB |
Output is correct |
| 35 |
Correct |
0 ms |
348 KB |
Output is correct |
| 36 |
Correct |
1 ms |
348 KB |
Output is correct |
| 37 |
Correct |
1 ms |
348 KB |
Output is correct |
| 38 |
Correct |
0 ms |
348 KB |
Output is correct |
| 39 |
Correct |
0 ms |
364 KB |
Output is correct |
| 40 |
Correct |
1 ms |
344 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 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 |
604 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
460 KB |
Output is correct |
| 7 |
Correct |
0 ms |
344 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
0 ms |
348 KB |
Output is correct |
| 10 |
Correct |
0 ms |
456 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
344 KB |
Output is correct |
| 14 |
Correct |
0 ms |
348 KB |
Output is correct |
| 15 |
Correct |
0 ms |
348 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
0 ms |
348 KB |
Output is correct |
| 18 |
Correct |
0 ms |
348 KB |
Output is correct |
| 19 |
Correct |
1 ms |
348 KB |
Output is correct |
| 20 |
Correct |
0 ms |
348 KB |
Output is correct |
| 21 |
Correct |
0 ms |
348 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 |
344 KB |
Output is correct |
| 25 |
Correct |
1 ms |
344 KB |
Output is correct |
| 26 |
Correct |
1 ms |
348 KB |
Output is correct |
| 27 |
Correct |
0 ms |
348 KB |
Output is correct |
| 28 |
Correct |
0 ms |
464 KB |
Output is correct |
| 29 |
Correct |
0 ms |
348 KB |
Output is correct |
| 30 |
Correct |
0 ms |
348 KB |
Output is correct |
| 31 |
Correct |
1 ms |
348 KB |
Output is correct |
| 32 |
Correct |
1 ms |
348 KB |
Output is correct |
| 33 |
Correct |
0 ms |
348 KB |
Output is correct |
| 34 |
Correct |
0 ms |
456 KB |
Output is correct |
| 35 |
Correct |
0 ms |
348 KB |
Output is correct |
| 36 |
Correct |
1 ms |
348 KB |
Output is correct |
| 37 |
Correct |
1 ms |
348 KB |
Output is correct |
| 38 |
Correct |
0 ms |
348 KB |
Output is correct |
| 39 |
Correct |
0 ms |
364 KB |
Output is correct |
| 40 |
Correct |
1 ms |
344 KB |
Output is correct |
| 41 |
Correct |
1 ms |
464 KB |
Output is correct |
| 42 |
Correct |
1 ms |
460 KB |
Output is correct |
| 43 |
Correct |
3 ms |
348 KB |
Output is correct |
| 44 |
Correct |
3 ms |
348 KB |
Output is correct |
| 45 |
Correct |
12 ms |
488 KB |
Output is correct |
| 46 |
Correct |
13 ms |
344 KB |
Output is correct |
| 47 |
Correct |
26 ms |
348 KB |
Output is correct |
| 48 |
Correct |
26 ms |
348 KB |
Output is correct |
| 49 |
Correct |
58 ms |
604 KB |
Output is correct |
| 50 |
Correct |
45 ms |
592 KB |
Output is correct |
| 51 |
Correct |
94 ms |
596 KB |
Output is correct |
| 52 |
Correct |
63 ms |
592 KB |
Output is correct |
| 53 |
Correct |
27 ms |
532 KB |
Output is correct |
| 54 |
Correct |
27 ms |
348 KB |
Output is correct |
| 55 |
Correct |
33 ms |
512 KB |
Output is correct |
| 56 |
Correct |
27 ms |
516 KB |
Output is correct |
| 57 |
Correct |
26 ms |
344 KB |
Output is correct |
| 58 |
Correct |
26 ms |
348 KB |
Output is correct |
| 59 |
Correct |
26 ms |
344 KB |
Output is correct |
| 60 |
Correct |
26 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Execution timed out |
2536 ms |
1264 KB |
Time limit exceeded |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
1 ms |
344 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 |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
1 ms |
344 KB |
Output is correct |
| 9 |
Correct |
1 ms |
600 KB |
Output is correct |
| 10 |
Correct |
1 ms |
424 KB |
Output is correct |
| 11 |
Correct |
1 ms |
348 KB |
Output is correct |
| 12 |
Correct |
1486 ms |
1108 KB |
Output is correct |
| 13 |
Correct |
1233 ms |
1128 KB |
Output is correct |
| 14 |
Correct |
417 ms |
852 KB |
Output is correct |
| 15 |
Execution timed out |
2505 ms |
1048 KB |
Time limit exceeded |
| 16 |
Halted |
0 ms |
0 KB |
- |
