#include<bits/stdc++.h>
using namespace std;
using ll = long long;
#define all(x) (x).begin(), (x).end()
const int N = 507;
int n, k;
array<int, 2> a[N];
double dp[N][N];
int main() {
cin.tie(0)->sync_with_stdio(false);
cin >> n >> k;
for (int i = 1; i <= n; i++) {
cin >> a[i][0] >> a[i][1];
if (a[i][1] == -1)
a[i][1] = 1e9;
}
sort(a + 1, a + n + 1, [&](array<int, 2> &x, array<int, 2> &y) { return x[1] < y[1]; });
double ans = 1e9;
for (int c = 0; c <= k; c++) {
for (int i = 0; i <= n; i++)
for (int j = 0; j <= n; j++)
dp[i][j] = 1e9;
dp[0][0] = 0;
for (int i = 1; i <= n; i++) {
for (int j = 0; j < i; j++) {
if (j < k - c)
dp[i][j + 1] = min(dp[i][j + 1], dp[i - 1][j] + (double) a[i][0] / (c + 1));
if (i - j - 1 < c && a[i][1] < 1e9)
dp[i][j] = min(dp[i][j], dp[i - 1][j] + (double) a[i][1] / (i - j));
if (i - j - 1 >= c)
dp[i][j] = min(dp[i][j], dp[i - 1][j]);
}
}
ans = min(ans, dp[n][k - c]);
}
cout << fixed << setprecision(10) << ans << '\n';
return 0;
}
# |
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 |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
13 ms |
2456 KB |
Output is correct |
6 |
Correct |
37 ms |
2396 KB |
Output is correct |
7 |
Correct |
73 ms |
2396 KB |
Output is correct |
8 |
Correct |
108 ms |
2432 KB |
Output is correct |
9 |
Correct |
138 ms |
2428 KB |
Output is correct |
10 |
Correct |
97 ms |
2432 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 |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
13 ms |
2456 KB |
Output is correct |
6 |
Correct |
37 ms |
2396 KB |
Output is correct |
7 |
Correct |
73 ms |
2396 KB |
Output is correct |
8 |
Correct |
108 ms |
2432 KB |
Output is correct |
9 |
Correct |
138 ms |
2428 KB |
Output is correct |
10 |
Correct |
97 ms |
2432 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
51 ms |
2364 KB |
Output is correct |
13 |
Correct |
49 ms |
2444 KB |
Output is correct |
14 |
Correct |
48 ms |
2392 KB |
Output is correct |
15 |
Correct |
117 ms |
2396 KB |
Output is correct |
16 |
Correct |
107 ms |
2396 KB |
Output is correct |
17 |
Correct |
98 ms |
2396 KB |
Output is correct |
18 |
Correct |
179 ms |
2644 KB |
Output is correct |
19 |
Correct |
155 ms |
2392 KB |
Output is correct |
20 |
Correct |
138 ms |
2392 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 |
600 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
344 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 |
1 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 |
344 KB |
Output is correct |
15 |
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 |
600 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
344 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 |
1 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 |
344 KB |
Output is correct |
15 |
Correct |
1 ms |
344 KB |
Output is correct |
16 |
Correct |
1 ms |
768 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 |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
464 KB |
Output is correct |
30 |
Correct |
0 ms |
344 KB |
Output is correct |
31 |
Correct |
0 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 |
464 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
456 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
1 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 |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
600 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
344 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 |
1 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 |
344 KB |
Output is correct |
15 |
Correct |
1 ms |
344 KB |
Output is correct |
16 |
Correct |
1 ms |
768 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 |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
464 KB |
Output is correct |
30 |
Correct |
0 ms |
344 KB |
Output is correct |
31 |
Correct |
0 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 |
464 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
456 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
1 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 |
1 ms |
860 KB |
Output is correct |
43 |
Correct |
1 ms |
860 KB |
Output is correct |
44 |
Correct |
1 ms |
860 KB |
Output is correct |
45 |
Correct |
1 ms |
860 KB |
Output is correct |
46 |
Correct |
1 ms |
604 KB |
Output is correct |
47 |
Correct |
2 ms |
860 KB |
Output is correct |
48 |
Correct |
1 ms |
860 KB |
Output is correct |
49 |
Correct |
2 ms |
856 KB |
Output is correct |
50 |
Correct |
2 ms |
860 KB |
Output is correct |
51 |
Correct |
2 ms |
860 KB |
Output is correct |
52 |
Correct |
2 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 |
856 KB |
Output is correct |
56 |
Correct |
1 ms |
860 KB |
Output is correct |
57 |
Correct |
1 ms |
860 KB |
Output is correct |
58 |
Correct |
2 ms |
860 KB |
Output is correct |
59 |
Correct |
1 ms |
724 KB |
Output is correct |
60 |
Correct |
1 ms |
860 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
171 ms |
2396 KB |
Output is correct |
2 |
Correct |
170 ms |
2580 KB |
Output is correct |
3 |
Correct |
170 ms |
2396 KB |
Output is correct |
4 |
Correct |
172 ms |
2428 KB |
Output is correct |
5 |
Correct |
172 ms |
2392 KB |
Output is correct |
6 |
Correct |
171 ms |
2432 KB |
Output is correct |
7 |
Correct |
174 ms |
2644 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 |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
13 ms |
2456 KB |
Output is correct |
6 |
Correct |
37 ms |
2396 KB |
Output is correct |
7 |
Correct |
73 ms |
2396 KB |
Output is correct |
8 |
Correct |
108 ms |
2432 KB |
Output is correct |
9 |
Correct |
138 ms |
2428 KB |
Output is correct |
10 |
Correct |
97 ms |
2432 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
51 ms |
2364 KB |
Output is correct |
13 |
Correct |
49 ms |
2444 KB |
Output is correct |
14 |
Correct |
48 ms |
2392 KB |
Output is correct |
15 |
Correct |
117 ms |
2396 KB |
Output is correct |
16 |
Correct |
107 ms |
2396 KB |
Output is correct |
17 |
Correct |
98 ms |
2396 KB |
Output is correct |
18 |
Correct |
179 ms |
2644 KB |
Output is correct |
19 |
Correct |
155 ms |
2392 KB |
Output is correct |
20 |
Correct |
138 ms |
2392 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
600 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
344 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 |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
344 KB |
Output is correct |
34 |
Correct |
0 ms |
344 KB |
Output is correct |
35 |
Correct |
1 ms |
344 KB |
Output is correct |
36 |
Correct |
1 ms |
768 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
348 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 |
348 KB |
Output is correct |
43 |
Correct |
0 ms |
348 KB |
Output is correct |
44 |
Correct |
0 ms |
348 KB |
Output is correct |
45 |
Correct |
0 ms |
348 KB |
Output is correct |
46 |
Correct |
0 ms |
348 KB |
Output is correct |
47 |
Correct |
1 ms |
348 KB |
Output is correct |
48 |
Correct |
1 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
464 KB |
Output is correct |
50 |
Correct |
0 ms |
344 KB |
Output is correct |
51 |
Correct |
0 ms |
348 KB |
Output is correct |
52 |
Correct |
1 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
348 KB |
Output is correct |
54 |
Correct |
0 ms |
464 KB |
Output is correct |
55 |
Correct |
0 ms |
348 KB |
Output is correct |
56 |
Correct |
0 ms |
456 KB |
Output is correct |
57 |
Correct |
0 ms |
348 KB |
Output is correct |
58 |
Correct |
1 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 |
1 ms |
860 KB |
Output is correct |
63 |
Correct |
1 ms |
860 KB |
Output is correct |
64 |
Correct |
1 ms |
860 KB |
Output is correct |
65 |
Correct |
1 ms |
860 KB |
Output is correct |
66 |
Correct |
1 ms |
604 KB |
Output is correct |
67 |
Correct |
2 ms |
860 KB |
Output is correct |
68 |
Correct |
1 ms |
860 KB |
Output is correct |
69 |
Correct |
2 ms |
856 KB |
Output is correct |
70 |
Correct |
2 ms |
860 KB |
Output is correct |
71 |
Correct |
2 ms |
860 KB |
Output is correct |
72 |
Correct |
2 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 |
856 KB |
Output is correct |
76 |
Correct |
1 ms |
860 KB |
Output is correct |
77 |
Correct |
1 ms |
860 KB |
Output is correct |
78 |
Correct |
2 ms |
860 KB |
Output is correct |
79 |
Correct |
1 ms |
724 KB |
Output is correct |
80 |
Correct |
1 ms |
860 KB |
Output is correct |
81 |
Correct |
171 ms |
2396 KB |
Output is correct |
82 |
Correct |
170 ms |
2580 KB |
Output is correct |
83 |
Correct |
170 ms |
2396 KB |
Output is correct |
84 |
Correct |
172 ms |
2428 KB |
Output is correct |
85 |
Correct |
172 ms |
2392 KB |
Output is correct |
86 |
Correct |
171 ms |
2432 KB |
Output is correct |
87 |
Correct |
174 ms |
2644 KB |
Output is correct |
88 |
Correct |
19 ms |
2396 KB |
Output is correct |
89 |
Correct |
18 ms |
2392 KB |
Output is correct |
90 |
Correct |
45 ms |
2456 KB |
Output is correct |
91 |
Correct |
42 ms |
2396 KB |
Output is correct |
92 |
Correct |
80 ms |
2396 KB |
Output is correct |
93 |
Correct |
87 ms |
2428 KB |
Output is correct |
94 |
Correct |
121 ms |
2392 KB |
Output is correct |
95 |
Correct |
121 ms |
2428 KB |
Output is correct |
96 |
Correct |
149 ms |
2396 KB |
Output is correct |
97 |
Correct |
153 ms |
2644 KB |
Output is correct |
98 |
Correct |
112 ms |
2396 KB |
Output is correct |
99 |
Correct |
113 ms |
2432 KB |
Output is correct |
100 |
Correct |
113 ms |
2392 KB |
Output is correct |
101 |
Correct |
114 ms |
2548 KB |
Output is correct |
102 |
Correct |
115 ms |
2428 KB |
Output is correct |
103 |
Correct |
113 ms |
2396 KB |
Output is correct |
104 |
Correct |
113 ms |
2392 KB |
Output is correct |
105 |
Correct |
118 ms |
2432 KB |
Output is correct |