#include <bits/stdc++.h>
using namespace std;
int main() {
int n, k;
cin >> n >> k;
vector<long long> A(n), B(n);
for (int i = 0; i < n; i++) {
cin >> A[i] >> B[i];
B[i] = (B[i] == -1 ? 1000000000 : 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] ? A[i] > A[j] : B[i] < B[j]);
});
long double ans = 1e9;
for (int m = 0; m <= k; m++) {
vector dp(n + 1, vector<long double>(m + 1, 1e9));
dp[0][0] = 0;
for (int i = 0; i < n; i++) {
for (int j = 0; j <= i && j <= m; j++) {
if (j + 1 <= m) {
dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + (long double)B[order[i]] / (j + 1));
}
dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + (long double)A[order[i]] / (m + 1));
}
}
for (int p = m; p <= n; p++) {
vector<long long> C;
for (int i = p; i < n; i++) {
C.push_back(A[order[i]]);
}
sort(C.begin(), C.end());
if ((int)C.size() < k - p) {
break;
}
long double res = dp[p][m];
for (int i = 0; i < k - p; i++) {
res += (long double)C[i] / (m + 1);
}
ans = min(ans, res);
}
}
cout << fixed << setprecision(9) << ans << "\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
82 ms |
832 KB |
Output is correct |
6 |
Correct |
207 ms |
1560 KB |
Output is correct |
7 |
Correct |
450 ms |
2536 KB |
Output is correct |
8 |
Correct |
730 ms |
3668 KB |
Output is correct |
9 |
Correct |
1058 ms |
4624 KB |
Output is correct |
10 |
Correct |
606 ms |
3384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
82 ms |
832 KB |
Output is correct |
6 |
Correct |
207 ms |
1560 KB |
Output is correct |
7 |
Correct |
450 ms |
2536 KB |
Output is correct |
8 |
Correct |
730 ms |
3668 KB |
Output is correct |
9 |
Correct |
1058 ms |
4624 KB |
Output is correct |
10 |
Correct |
606 ms |
3384 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
269 ms |
1888 KB |
Output is correct |
13 |
Correct |
356 ms |
1768 KB |
Output is correct |
14 |
Correct |
267 ms |
1840 KB |
Output is correct |
15 |
Correct |
682 ms |
3516 KB |
Output is correct |
16 |
Correct |
775 ms |
3444 KB |
Output is correct |
17 |
Correct |
663 ms |
3564 KB |
Output is correct |
18 |
Correct |
1062 ms |
4604 KB |
Output is correct |
19 |
Correct |
1173 ms |
4704 KB |
Output is correct |
20 |
Correct |
1040 ms |
4552 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
304 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
296 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
304 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
296 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
272 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
296 KB |
Output is correct |
25 |
Correct |
1 ms |
296 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
304 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
304 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
300 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
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 |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
304 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
296 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
272 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
296 KB |
Output is correct |
25 |
Correct |
1 ms |
296 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
304 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
304 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
300 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
4 ms |
340 KB |
Output is correct |
42 |
Correct |
3 ms |
340 KB |
Output is correct |
43 |
Correct |
4 ms |
340 KB |
Output is correct |
44 |
Correct |
4 ms |
340 KB |
Output is correct |
45 |
Correct |
5 ms |
456 KB |
Output is correct |
46 |
Correct |
5 ms |
468 KB |
Output is correct |
47 |
Correct |
7 ms |
724 KB |
Output is correct |
48 |
Correct |
7 ms |
596 KB |
Output is correct |
49 |
Correct |
9 ms |
688 KB |
Output is correct |
50 |
Correct |
8 ms |
684 KB |
Output is correct |
51 |
Correct |
10 ms |
704 KB |
Output is correct |
52 |
Correct |
10 ms |
708 KB |
Output is correct |
53 |
Correct |
7 ms |
596 KB |
Output is correct |
54 |
Correct |
6 ms |
552 KB |
Output is correct |
55 |
Correct |
7 ms |
596 KB |
Output is correct |
56 |
Correct |
7 ms |
596 KB |
Output is correct |
57 |
Correct |
8 ms |
596 KB |
Output is correct |
58 |
Correct |
6 ms |
556 KB |
Output is correct |
59 |
Correct |
6 ms |
596 KB |
Output is correct |
60 |
Correct |
7 ms |
596 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1525 ms |
4744 KB |
Output is correct |
2 |
Correct |
1507 ms |
4752 KB |
Output is correct |
3 |
Correct |
1518 ms |
4684 KB |
Output is correct |
4 |
Correct |
1518 ms |
4624 KB |
Output is correct |
5 |
Correct |
1526 ms |
4808 KB |
Output is correct |
6 |
Correct |
1513 ms |
4592 KB |
Output is correct |
7 |
Correct |
1405 ms |
4616 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
82 ms |
832 KB |
Output is correct |
6 |
Correct |
207 ms |
1560 KB |
Output is correct |
7 |
Correct |
450 ms |
2536 KB |
Output is correct |
8 |
Correct |
730 ms |
3668 KB |
Output is correct |
9 |
Correct |
1058 ms |
4624 KB |
Output is correct |
10 |
Correct |
606 ms |
3384 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
269 ms |
1888 KB |
Output is correct |
13 |
Correct |
356 ms |
1768 KB |
Output is correct |
14 |
Correct |
267 ms |
1840 KB |
Output is correct |
15 |
Correct |
682 ms |
3516 KB |
Output is correct |
16 |
Correct |
775 ms |
3444 KB |
Output is correct |
17 |
Correct |
663 ms |
3564 KB |
Output is correct |
18 |
Correct |
1062 ms |
4604 KB |
Output is correct |
19 |
Correct |
1173 ms |
4704 KB |
Output is correct |
20 |
Correct |
1040 ms |
4552 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
0 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
304 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
296 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
272 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
0 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
296 KB |
Output is correct |
45 |
Correct |
1 ms |
296 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
212 KB |
Output is correct |
48 |
Correct |
1 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
304 KB |
Output is correct |
50 |
Correct |
1 ms |
212 KB |
Output is correct |
51 |
Correct |
1 ms |
212 KB |
Output is correct |
52 |
Correct |
1 ms |
212 KB |
Output is correct |
53 |
Correct |
1 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
304 KB |
Output is correct |
56 |
Correct |
1 ms |
212 KB |
Output is correct |
57 |
Correct |
1 ms |
300 KB |
Output is correct |
58 |
Correct |
1 ms |
212 KB |
Output is correct |
59 |
Correct |
1 ms |
212 KB |
Output is correct |
60 |
Correct |
1 ms |
212 KB |
Output is correct |
61 |
Correct |
4 ms |
340 KB |
Output is correct |
62 |
Correct |
3 ms |
340 KB |
Output is correct |
63 |
Correct |
4 ms |
340 KB |
Output is correct |
64 |
Correct |
4 ms |
340 KB |
Output is correct |
65 |
Correct |
5 ms |
456 KB |
Output is correct |
66 |
Correct |
5 ms |
468 KB |
Output is correct |
67 |
Correct |
7 ms |
724 KB |
Output is correct |
68 |
Correct |
7 ms |
596 KB |
Output is correct |
69 |
Correct |
9 ms |
688 KB |
Output is correct |
70 |
Correct |
8 ms |
684 KB |
Output is correct |
71 |
Correct |
10 ms |
704 KB |
Output is correct |
72 |
Correct |
10 ms |
708 KB |
Output is correct |
73 |
Correct |
7 ms |
596 KB |
Output is correct |
74 |
Correct |
6 ms |
552 KB |
Output is correct |
75 |
Correct |
7 ms |
596 KB |
Output is correct |
76 |
Correct |
7 ms |
596 KB |
Output is correct |
77 |
Correct |
8 ms |
596 KB |
Output is correct |
78 |
Correct |
6 ms |
556 KB |
Output is correct |
79 |
Correct |
6 ms |
596 KB |
Output is correct |
80 |
Correct |
7 ms |
596 KB |
Output is correct |
81 |
Correct |
1525 ms |
4744 KB |
Output is correct |
82 |
Correct |
1507 ms |
4752 KB |
Output is correct |
83 |
Correct |
1518 ms |
4684 KB |
Output is correct |
84 |
Correct |
1518 ms |
4624 KB |
Output is correct |
85 |
Correct |
1526 ms |
4808 KB |
Output is correct |
86 |
Correct |
1513 ms |
4592 KB |
Output is correct |
87 |
Correct |
1405 ms |
4616 KB |
Output is correct |
88 |
Correct |
222 ms |
808 KB |
Output is correct |
89 |
Correct |
220 ms |
912 KB |
Output is correct |
90 |
Correct |
487 ms |
1500 KB |
Output is correct |
91 |
Correct |
492 ms |
1568 KB |
Output is correct |
92 |
Correct |
908 ms |
2716 KB |
Output is correct |
93 |
Correct |
872 ms |
2492 KB |
Output is correct |
94 |
Correct |
1195 ms |
3752 KB |
Output is correct |
95 |
Correct |
1184 ms |
3624 KB |
Output is correct |
96 |
Correct |
1395 ms |
4232 KB |
Output is correct |
97 |
Correct |
1388 ms |
4288 KB |
Output is correct |
98 |
Correct |
1078 ms |
3520 KB |
Output is correct |
99 |
Correct |
1097 ms |
3456 KB |
Output is correct |
100 |
Correct |
1110 ms |
3492 KB |
Output is correct |
101 |
Correct |
1102 ms |
3560 KB |
Output is correct |
102 |
Correct |
1010 ms |
3400 KB |
Output is correct |
103 |
Correct |
1043 ms |
3304 KB |
Output is correct |
104 |
Correct |
1006 ms |
3408 KB |
Output is correct |
105 |
Correct |
610 ms |
3460 KB |
Output is correct |