#include <bits/stdc++.h>
using namespace std;
const long double INF = 1e18;
void solve() {
int n, k;
cin >> n >> k;
vector<int> a(n), b(n);
for (int i = 0; i < n; i++) {
cin >> a[i] >> 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];
});
vector<int> new_a(n), new_b(n);
for (int i = 0; i < n; i++) {
new_a[i] = a[order[i]];
new_b[i] = b[order[i]];
}
a = new_a, b = new_b;
auto Solve = [&n, &k, &a, &b](int c) {
long double ans = INF;
vector dp(k + 1, vector<long double>(c + 1, INF));
dp[0][0] = 0;
for (int i = 0; i < n; i++) {
vector new_dp(n + 1, vector<long double>(c + 1, INF));
for (int j = 0; j <= k; j++) {
for (int l = 0; l <= c; l++) {
if (j + 1 <= k && l + 1 <= c && b[i] != -1) {
new_dp[j + 1][l + 1] = min(new_dp[j + 1][l + 1], dp[j][l] + (long double)b[i] / (l + 1));
}
if (j + 1 <= k) {
new_dp[j + 1][l] = min(new_dp[j + 1][l], dp[j][l] + (long double)a[i] / (c + 1));
}
new_dp[j][l] = min(new_dp[j][l], dp[j][l]);
}
}
dp = new_dp;
}
for (int i = k; i <= n; i++) {
ans = min(ans, dp[i][c]);
}
return ans;
};
int l = 0, r = k;
while (r - l > 2) {
int m1 = l + (r - l) / 3;
int m2 = r - (r - l) / 3;
if (Solve(m1) < Solve(m2)) {
r = m2;
} else {
l = m1;
}
}
cout << min({Solve(l), Solve(l + 1), Solve(l + 2)}) << "\n";
}
int main() {
cout << fixed << setprecision(9);
ios::sync_with_stdio(false);
cin.tie(nullptr);
solve();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
316 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
316 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
320 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
316 KB |
Output is correct |
14 |
Correct |
1 ms |
320 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
320 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
316 KB |
Output is correct |
14 |
Correct |
1 ms |
320 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
316 KB |
Output is correct |
20 |
Correct |
1 ms |
320 KB |
Output is correct |
21 |
Correct |
1 ms |
324 KB |
Output is correct |
22 |
Correct |
2 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
324 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
4 ms |
340 KB |
Output is correct |
26 |
Correct |
3 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
2 ms |
312 KB |
Output is correct |
29 |
Correct |
2 ms |
340 KB |
Output is correct |
30 |
Correct |
3 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
2 ms |
340 KB |
Output is correct |
33 |
Correct |
2 ms |
340 KB |
Output is correct |
34 |
Correct |
2 ms |
340 KB |
Output is correct |
35 |
Correct |
2 ms |
320 KB |
Output is correct |
36 |
Correct |
2 ms |
340 KB |
Output is correct |
37 |
Correct |
2 ms |
320 KB |
Output is correct |
38 |
Correct |
2 ms |
340 KB |
Output is correct |
39 |
Correct |
2 ms |
340 KB |
Output is correct |
40 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
320 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
316 KB |
Output is correct |
14 |
Correct |
1 ms |
320 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
316 KB |
Output is correct |
20 |
Correct |
1 ms |
320 KB |
Output is correct |
21 |
Correct |
1 ms |
324 KB |
Output is correct |
22 |
Correct |
2 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
324 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
4 ms |
340 KB |
Output is correct |
26 |
Correct |
3 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
2 ms |
312 KB |
Output is correct |
29 |
Correct |
2 ms |
340 KB |
Output is correct |
30 |
Correct |
3 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
2 ms |
340 KB |
Output is correct |
33 |
Correct |
2 ms |
340 KB |
Output is correct |
34 |
Correct |
2 ms |
340 KB |
Output is correct |
35 |
Correct |
2 ms |
320 KB |
Output is correct |
36 |
Correct |
2 ms |
340 KB |
Output is correct |
37 |
Correct |
2 ms |
320 KB |
Output is correct |
38 |
Correct |
2 ms |
340 KB |
Output is correct |
39 |
Correct |
2 ms |
340 KB |
Output is correct |
40 |
Correct |
2 ms |
340 KB |
Output is correct |
41 |
Correct |
12 ms |
340 KB |
Output is correct |
42 |
Correct |
14 ms |
376 KB |
Output is correct |
43 |
Correct |
21 ms |
340 KB |
Output is correct |
44 |
Correct |
34 ms |
340 KB |
Output is correct |
45 |
Correct |
92 ms |
500 KB |
Output is correct |
46 |
Correct |
59 ms |
468 KB |
Output is correct |
47 |
Correct |
93 ms |
480 KB |
Output is correct |
48 |
Correct |
135 ms |
560 KB |
Output is correct |
49 |
Correct |
230 ms |
756 KB |
Output is correct |
50 |
Correct |
133 ms |
672 KB |
Output is correct |
51 |
Correct |
255 ms |
548 KB |
Output is correct |
52 |
Correct |
369 ms |
592 KB |
Output is correct |
53 |
Correct |
57 ms |
468 KB |
Output is correct |
54 |
Correct |
93 ms |
600 KB |
Output is correct |
55 |
Correct |
143 ms |
556 KB |
Output is correct |
56 |
Correct |
70 ms |
468 KB |
Output is correct |
57 |
Correct |
135 ms |
596 KB |
Output is correct |
58 |
Correct |
155 ms |
584 KB |
Output is correct |
59 |
Correct |
145 ms |
576 KB |
Output is correct |
60 |
Correct |
132 ms |
552 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
2550 ms |
5796 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
316 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |