#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
const int N = 505, inf = 1e9;
int n, k;
int a[N], b[N], ord[N];
double dp[N][N];
double solve(int m) {
for (int i = 0; i <= n; ++i) {
fill(dp[i], dp[i] + k + 1, inf);
}
dp[0][0] = 0;
for (int i = 0; i < n; ++i) {
for (int j = 0; j <= min(i, k - m); ++j) {
if (dp[i][j] != inf) {
int id = ord[i + 1];
if (j + 1 <= k - m) {
dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + (double) a[id] / (m + 1));
}
int pick = i - j;
if (m - pick > 0) {
if (b[id] != inf) {
dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + (double) b[id] / (pick + 1));
}
} else {
dp[i + 1][j] = min(dp[i + 1][j], dp[i][j]);
}
}
}
}
return dp[n][k - m];
}
int main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
cin >> n >> k;
int can = n;
for (int i = 1; i <= n; ++i) {
cin >> a[i] >> b[i];
if (b[i] == -1) {
b[i] = inf;
--can;
}
}
iota(ord + 1, ord + n + 1, 1);
sort(ord + 1, ord + n + 1, [&](int i, int j) {
return b[i] < b[j];
});
double res = solve(1);;
for (int cnt = 0; cnt <= min(can, k); ++cnt) {
res = min(res, solve(cnt));
}
cout << fixed << setprecision(15) << res;
return 0;
}
# |
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 |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2268 KB |
Output is correct |
8 |
Correct |
2 ms |
2396 KB |
Output is correct |
9 |
Correct |
2 ms |
2396 KB |
Output is correct |
10 |
Correct |
2 ms |
2396 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 |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2268 KB |
Output is correct |
8 |
Correct |
2 ms |
2396 KB |
Output is correct |
9 |
Correct |
2 ms |
2396 KB |
Output is correct |
10 |
Correct |
2 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
17 ms |
2396 KB |
Output is correct |
13 |
Correct |
17 ms |
2396 KB |
Output is correct |
14 |
Correct |
13 ms |
2396 KB |
Output is correct |
15 |
Correct |
71 ms |
2396 KB |
Output is correct |
16 |
Correct |
68 ms |
2396 KB |
Output is correct |
17 |
Correct |
25 ms |
2396 KB |
Output is correct |
18 |
Correct |
161 ms |
2320 KB |
Output is correct |
19 |
Correct |
94 ms |
2424 KB |
Output is correct |
20 |
Correct |
28 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
604 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
468 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 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 |
348 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 |
348 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 |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
604 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
468 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 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 |
348 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 |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 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 |
0 ms |
468 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
464 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
604 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
468 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 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 |
348 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 |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 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 |
0 ms |
468 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
464 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
41 |
Correct |
1 ms |
860 KB |
Output is correct |
42 |
Correct |
0 ms |
860 KB |
Output is correct |
43 |
Correct |
1 ms |
860 KB |
Output is correct |
44 |
Correct |
0 ms |
860 KB |
Output is correct |
45 |
Correct |
1 ms |
860 KB |
Output is correct |
46 |
Correct |
1 ms |
860 KB |
Output is correct |
47 |
Correct |
1 ms |
860 KB |
Output is correct |
48 |
Correct |
1 ms |
860 KB |
Output is correct |
49 |
Correct |
1 ms |
860 KB |
Output is correct |
50 |
Correct |
1 ms |
860 KB |
Output is correct |
51 |
Correct |
1 ms |
860 KB |
Output is correct |
52 |
Correct |
1 ms |
860 KB |
Output is correct |
53 |
Correct |
1 ms |
860 KB |
Output is correct |
54 |
Correct |
1 ms |
860 KB |
Output is correct |
55 |
Correct |
1 ms |
860 KB |
Output is correct |
56 |
Correct |
1 ms |
860 KB |
Output is correct |
57 |
Correct |
2 ms |
860 KB |
Output is correct |
58 |
Correct |
1 ms |
860 KB |
Output is correct |
59 |
Correct |
1 ms |
860 KB |
Output is correct |
60 |
Correct |
1 ms |
860 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
134 ms |
2432 KB |
Output is correct |
2 |
Correct |
131 ms |
2396 KB |
Output is correct |
3 |
Correct |
129 ms |
2396 KB |
Output is correct |
4 |
Correct |
126 ms |
2428 KB |
Output is correct |
5 |
Correct |
134 ms |
2396 KB |
Output is correct |
6 |
Correct |
130 ms |
2396 KB |
Output is correct |
7 |
Correct |
132 ms |
2396 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 |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2268 KB |
Output is correct |
8 |
Correct |
2 ms |
2396 KB |
Output is correct |
9 |
Correct |
2 ms |
2396 KB |
Output is correct |
10 |
Correct |
2 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
17 ms |
2396 KB |
Output is correct |
13 |
Correct |
17 ms |
2396 KB |
Output is correct |
14 |
Correct |
13 ms |
2396 KB |
Output is correct |
15 |
Correct |
71 ms |
2396 KB |
Output is correct |
16 |
Correct |
68 ms |
2396 KB |
Output is correct |
17 |
Correct |
25 ms |
2396 KB |
Output is correct |
18 |
Correct |
161 ms |
2320 KB |
Output is correct |
19 |
Correct |
94 ms |
2424 KB |
Output is correct |
20 |
Correct |
28 ms |
2396 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
604 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
468 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
468 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
41 |
Correct |
0 ms |
348 KB |
Output is correct |
42 |
Correct |
0 ms |
468 KB |
Output is correct |
43 |
Correct |
1 ms |
348 KB |
Output is correct |
44 |
Correct |
0 ms |
348 KB |
Output is correct |
45 |
Correct |
1 ms |
348 KB |
Output is correct |
46 |
Correct |
0 ms |
348 KB |
Output is correct |
47 |
Correct |
0 ms |
348 KB |
Output is correct |
48 |
Correct |
0 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
348 KB |
Output is correct |
50 |
Correct |
0 ms |
348 KB |
Output is correct |
51 |
Correct |
0 ms |
348 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
348 KB |
Output is correct |
54 |
Correct |
0 ms |
348 KB |
Output is correct |
55 |
Correct |
0 ms |
348 KB |
Output is correct |
56 |
Correct |
0 ms |
464 KB |
Output is correct |
57 |
Correct |
0 ms |
348 KB |
Output is correct |
58 |
Correct |
0 ms |
348 KB |
Output is correct |
59 |
Correct |
0 ms |
348 KB |
Output is correct |
60 |
Correct |
0 ms |
348 KB |
Output is correct |
61 |
Correct |
1 ms |
860 KB |
Output is correct |
62 |
Correct |
0 ms |
860 KB |
Output is correct |
63 |
Correct |
1 ms |
860 KB |
Output is correct |
64 |
Correct |
0 ms |
860 KB |
Output is correct |
65 |
Correct |
1 ms |
860 KB |
Output is correct |
66 |
Correct |
1 ms |
860 KB |
Output is correct |
67 |
Correct |
1 ms |
860 KB |
Output is correct |
68 |
Correct |
1 ms |
860 KB |
Output is correct |
69 |
Correct |
1 ms |
860 KB |
Output is correct |
70 |
Correct |
1 ms |
860 KB |
Output is correct |
71 |
Correct |
1 ms |
860 KB |
Output is correct |
72 |
Correct |
1 ms |
860 KB |
Output is correct |
73 |
Correct |
1 ms |
860 KB |
Output is correct |
74 |
Correct |
1 ms |
860 KB |
Output is correct |
75 |
Correct |
1 ms |
860 KB |
Output is correct |
76 |
Correct |
1 ms |
860 KB |
Output is correct |
77 |
Correct |
2 ms |
860 KB |
Output is correct |
78 |
Correct |
1 ms |
860 KB |
Output is correct |
79 |
Correct |
1 ms |
860 KB |
Output is correct |
80 |
Correct |
1 ms |
860 KB |
Output is correct |
81 |
Correct |
134 ms |
2432 KB |
Output is correct |
82 |
Correct |
131 ms |
2396 KB |
Output is correct |
83 |
Correct |
129 ms |
2396 KB |
Output is correct |
84 |
Correct |
126 ms |
2428 KB |
Output is correct |
85 |
Correct |
134 ms |
2396 KB |
Output is correct |
86 |
Correct |
130 ms |
2396 KB |
Output is correct |
87 |
Correct |
132 ms |
2396 KB |
Output is correct |
88 |
Correct |
3 ms |
2396 KB |
Output is correct |
89 |
Correct |
3 ms |
2396 KB |
Output is correct |
90 |
Correct |
13 ms |
2396 KB |
Output is correct |
91 |
Correct |
11 ms |
2448 KB |
Output is correct |
92 |
Correct |
39 ms |
2396 KB |
Output is correct |
93 |
Correct |
38 ms |
2396 KB |
Output is correct |
94 |
Correct |
84 ms |
2396 KB |
Output is correct |
95 |
Correct |
79 ms |
2396 KB |
Output is correct |
96 |
Correct |
108 ms |
2396 KB |
Output is correct |
97 |
Correct |
117 ms |
2396 KB |
Output is correct |
98 |
Correct |
67 ms |
2396 KB |
Output is correct |
99 |
Correct |
71 ms |
2396 KB |
Output is correct |
100 |
Correct |
68 ms |
2396 KB |
Output is correct |
101 |
Correct |
77 ms |
2396 KB |
Output is correct |
102 |
Correct |
71 ms |
2432 KB |
Output is correct |
103 |
Correct |
79 ms |
2428 KB |
Output is correct |
104 |
Correct |
68 ms |
2432 KB |
Output is correct |
105 |
Correct |
72 ms |
2396 KB |
Output is correct |