#include <bits/stdc++.h>
using namespace std;
#define int long long
const int MAX = 5e2 + 5;
void minimize(double &a, const double &b) {
a = min(a, b);
}
int sum[MAX][MAX];
double f[2][MAX];
pair<int, int> state[MAX];
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
// freopen("test.inp", "r", stdin); freopen("test.out", "w", stdout);
int n, k;
cin >> n >> k;
int g = 0;
for (int i = 1; i <= n; i++) {
cin >> state[i].first >> state[i].second;
if (state[i].second == -1) state[i].second = 1e9;
else ++g;
}
sort(state + 1, state + n + 1, [](const pair<int, int> &a, const pair<int, int> &b) -> bool {
if (a.second != b.second) return a.second < b.second;
return a.first < b.first;
});
memset(sum, 0x3f, sizeof sum);
for (int i = 1; i <= n; i++) {
sum[i][0] = 0;
for (int j = i; j <= n; j++) {
for (int z = k; z > 0; z--) {
sum[i][z] = min(sum[i][z], sum[i][z - 1] + state[j].first);
}
}
}
sum[n + 1][0] = 0;
double ans = sum[1][k];
g = min(g, k);
for (int c = 0; c <= g; c++) {
for (int i = 0; i < 2; i++) {
for (int j = 0; j <= k; j++) {
f[i & 1][j] = 1e9;
}
}
f[0][0] = 0.0;
for (int i = 1; i <= k; i++) {
for (int j = 0; j <= i; j++) {
f[i & 1][j] = f[(i - 1) & 1][j] + 1.0 * state[i].first / (c + 1);
if (j) minimize(f[i & 1][j], f[(i - 1) & 1][j - 1] + 1.0 * state[i].second / j);
if (j == c) {
minimize(ans, f[i & 1][j] + 1.0 * sum[i + 1][k - i] / (c + 1));
}
}
}
}
cout << fixed << ans;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
6 ms |
2396 KB |
Output is correct |
6 |
Correct |
12 ms |
2464 KB |
Output is correct |
7 |
Correct |
24 ms |
2396 KB |
Output is correct |
8 |
Correct |
34 ms |
2392 KB |
Output is correct |
9 |
Correct |
44 ms |
2396 KB |
Output is correct |
10 |
Correct |
38 ms |
2392 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
6 ms |
2396 KB |
Output is correct |
6 |
Correct |
12 ms |
2464 KB |
Output is correct |
7 |
Correct |
24 ms |
2396 KB |
Output is correct |
8 |
Correct |
34 ms |
2392 KB |
Output is correct |
9 |
Correct |
44 ms |
2396 KB |
Output is correct |
10 |
Correct |
38 ms |
2392 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
17 ms |
2396 KB |
Output is correct |
13 |
Correct |
18 ms |
2392 KB |
Output is correct |
14 |
Correct |
16 ms |
2476 KB |
Output is correct |
15 |
Correct |
65 ms |
2444 KB |
Output is correct |
16 |
Correct |
58 ms |
2396 KB |
Output is correct |
17 |
Correct |
40 ms |
2396 KB |
Output is correct |
18 |
Correct |
146 ms |
2392 KB |
Output is correct |
19 |
Correct |
101 ms |
2396 KB |
Output is correct |
20 |
Correct |
63 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2392 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2392 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
2 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
2 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2392 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2392 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
2 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
2 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2392 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2392 KB |
Output is correct |
29 |
Correct |
1 ms |
2392 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
1 ms |
2396 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
2 ms |
2396 KB |
Output is correct |
36 |
Correct |
1 ms |
2348 KB |
Output is correct |
37 |
Correct |
1 ms |
2396 KB |
Output is correct |
38 |
Correct |
2 ms |
2552 KB |
Output is correct |
39 |
Correct |
1 ms |
2392 KB |
Output is correct |
40 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2392 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2392 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
2 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
2 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2392 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2392 KB |
Output is correct |
29 |
Correct |
1 ms |
2392 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
1 ms |
2396 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
2 ms |
2396 KB |
Output is correct |
36 |
Correct |
1 ms |
2348 KB |
Output is correct |
37 |
Correct |
1 ms |
2396 KB |
Output is correct |
38 |
Correct |
2 ms |
2552 KB |
Output is correct |
39 |
Correct |
1 ms |
2392 KB |
Output is correct |
40 |
Correct |
1 ms |
2396 KB |
Output is correct |
41 |
Correct |
1 ms |
2396 KB |
Output is correct |
42 |
Correct |
1 ms |
2396 KB |
Output is correct |
43 |
Correct |
1 ms |
2396 KB |
Output is correct |
44 |
Correct |
1 ms |
2392 KB |
Output is correct |
45 |
Correct |
1 ms |
2396 KB |
Output is correct |
46 |
Correct |
1 ms |
2396 KB |
Output is correct |
47 |
Correct |
1 ms |
2396 KB |
Output is correct |
48 |
Correct |
2 ms |
2392 KB |
Output is correct |
49 |
Correct |
2 ms |
2264 KB |
Output is correct |
50 |
Correct |
2 ms |
2396 KB |
Output is correct |
51 |
Correct |
2 ms |
2396 KB |
Output is correct |
52 |
Correct |
2 ms |
2396 KB |
Output is correct |
53 |
Correct |
2 ms |
2396 KB |
Output is correct |
54 |
Correct |
2 ms |
2392 KB |
Output is correct |
55 |
Correct |
2 ms |
2396 KB |
Output is correct |
56 |
Correct |
2 ms |
2396 KB |
Output is correct |
57 |
Correct |
3 ms |
2396 KB |
Output is correct |
58 |
Correct |
2 ms |
2396 KB |
Output is correct |
59 |
Correct |
1 ms |
2396 KB |
Output is correct |
60 |
Correct |
2 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
140 ms |
2396 KB |
Output is correct |
2 |
Correct |
148 ms |
2448 KB |
Output is correct |
3 |
Correct |
137 ms |
2440 KB |
Output is correct |
4 |
Correct |
137 ms |
2396 KB |
Output is correct |
5 |
Correct |
138 ms |
2392 KB |
Output is correct |
6 |
Correct |
138 ms |
2396 KB |
Output is correct |
7 |
Correct |
137 ms |
2392 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
6 ms |
2396 KB |
Output is correct |
6 |
Correct |
12 ms |
2464 KB |
Output is correct |
7 |
Correct |
24 ms |
2396 KB |
Output is correct |
8 |
Correct |
34 ms |
2392 KB |
Output is correct |
9 |
Correct |
44 ms |
2396 KB |
Output is correct |
10 |
Correct |
38 ms |
2392 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
17 ms |
2396 KB |
Output is correct |
13 |
Correct |
18 ms |
2392 KB |
Output is correct |
14 |
Correct |
16 ms |
2476 KB |
Output is correct |
15 |
Correct |
65 ms |
2444 KB |
Output is correct |
16 |
Correct |
58 ms |
2396 KB |
Output is correct |
17 |
Correct |
40 ms |
2396 KB |
Output is correct |
18 |
Correct |
146 ms |
2392 KB |
Output is correct |
19 |
Correct |
101 ms |
2396 KB |
Output is correct |
20 |
Correct |
63 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2392 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2392 KB |
Output is correct |
29 |
Correct |
1 ms |
2396 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
2 ms |
2396 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
2 ms |
2396 KB |
Output is correct |
36 |
Correct |
1 ms |
2396 KB |
Output is correct |
37 |
Correct |
1 ms |
2396 KB |
Output is correct |
38 |
Correct |
1 ms |
2392 KB |
Output is correct |
39 |
Correct |
1 ms |
2396 KB |
Output is correct |
40 |
Correct |
1 ms |
2396 KB |
Output is correct |
41 |
Correct |
1 ms |
2396 KB |
Output is correct |
42 |
Correct |
1 ms |
2396 KB |
Output is correct |
43 |
Correct |
1 ms |
2396 KB |
Output is correct |
44 |
Correct |
1 ms |
2396 KB |
Output is correct |
45 |
Correct |
1 ms |
2396 KB |
Output is correct |
46 |
Correct |
1 ms |
2396 KB |
Output is correct |
47 |
Correct |
1 ms |
2396 KB |
Output is correct |
48 |
Correct |
1 ms |
2392 KB |
Output is correct |
49 |
Correct |
1 ms |
2392 KB |
Output is correct |
50 |
Correct |
1 ms |
2396 KB |
Output is correct |
51 |
Correct |
1 ms |
2396 KB |
Output is correct |
52 |
Correct |
1 ms |
2396 KB |
Output is correct |
53 |
Correct |
1 ms |
2396 KB |
Output is correct |
54 |
Correct |
1 ms |
2396 KB |
Output is correct |
55 |
Correct |
2 ms |
2396 KB |
Output is correct |
56 |
Correct |
1 ms |
2348 KB |
Output is correct |
57 |
Correct |
1 ms |
2396 KB |
Output is correct |
58 |
Correct |
2 ms |
2552 KB |
Output is correct |
59 |
Correct |
1 ms |
2392 KB |
Output is correct |
60 |
Correct |
1 ms |
2396 KB |
Output is correct |
61 |
Correct |
1 ms |
2396 KB |
Output is correct |
62 |
Correct |
1 ms |
2396 KB |
Output is correct |
63 |
Correct |
1 ms |
2396 KB |
Output is correct |
64 |
Correct |
1 ms |
2392 KB |
Output is correct |
65 |
Correct |
1 ms |
2396 KB |
Output is correct |
66 |
Correct |
1 ms |
2396 KB |
Output is correct |
67 |
Correct |
1 ms |
2396 KB |
Output is correct |
68 |
Correct |
2 ms |
2392 KB |
Output is correct |
69 |
Correct |
2 ms |
2264 KB |
Output is correct |
70 |
Correct |
2 ms |
2396 KB |
Output is correct |
71 |
Correct |
2 ms |
2396 KB |
Output is correct |
72 |
Correct |
2 ms |
2396 KB |
Output is correct |
73 |
Correct |
2 ms |
2396 KB |
Output is correct |
74 |
Correct |
2 ms |
2392 KB |
Output is correct |
75 |
Correct |
2 ms |
2396 KB |
Output is correct |
76 |
Correct |
2 ms |
2396 KB |
Output is correct |
77 |
Correct |
3 ms |
2396 KB |
Output is correct |
78 |
Correct |
2 ms |
2396 KB |
Output is correct |
79 |
Correct |
1 ms |
2396 KB |
Output is correct |
80 |
Correct |
2 ms |
2396 KB |
Output is correct |
81 |
Correct |
140 ms |
2396 KB |
Output is correct |
82 |
Correct |
148 ms |
2448 KB |
Output is correct |
83 |
Correct |
137 ms |
2440 KB |
Output is correct |
84 |
Correct |
137 ms |
2396 KB |
Output is correct |
85 |
Correct |
138 ms |
2392 KB |
Output is correct |
86 |
Correct |
138 ms |
2396 KB |
Output is correct |
87 |
Correct |
137 ms |
2392 KB |
Output is correct |
88 |
Correct |
6 ms |
2392 KB |
Output is correct |
89 |
Correct |
6 ms |
2396 KB |
Output is correct |
90 |
Correct |
14 ms |
2468 KB |
Output is correct |
91 |
Correct |
24 ms |
2396 KB |
Output is correct |
92 |
Correct |
36 ms |
2396 KB |
Output is correct |
93 |
Correct |
35 ms |
2392 KB |
Output is correct |
94 |
Correct |
76 ms |
2396 KB |
Output is correct |
95 |
Correct |
73 ms |
2396 KB |
Output is correct |
96 |
Correct |
107 ms |
2396 KB |
Output is correct |
97 |
Correct |
110 ms |
2396 KB |
Output is correct |
98 |
Correct |
67 ms |
2396 KB |
Output is correct |
99 |
Correct |
65 ms |
2252 KB |
Output is correct |
100 |
Correct |
73 ms |
2440 KB |
Output is correct |
101 |
Correct |
70 ms |
2444 KB |
Output is correct |
102 |
Correct |
64 ms |
2392 KB |
Output is correct |
103 |
Correct |
63 ms |
2396 KB |
Output is correct |
104 |
Correct |
63 ms |
2396 KB |
Output is correct |
105 |
Correct |
77 ms |
2444 KB |
Output is correct |