#include <bits/stdc++.h>
using namespace std;
int main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int N, K; cin >> N >> K;
vector< pair<int, int> > states(N);
for (int i = 0; i < N; ++i) {
cin >> states[i].second >> states[i].first;
if (states[i].first == -1)
states[i].first = 1'000'000'000;
}
sort(begin(states), end(states));
double ans = 1e18;
for (int g = 0; g <= K; ++g) {
vector< vector<double> > dp(N + 1, vector<double>(K - g + 1, 1e18));
dp[0][0] = 0;
for (int i = 0; i < N; ++i)
for (int j = 0; j <= K - g; ++j) {
if (j < K - g)
dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + (double) states[i].second / (g + 1));
dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + (i - j < g ? (double) states[i].first / (i - j + 1) : .0));
}
ans = min(ans, dp[N][K - g]);
}
cout << setprecision(9) << fixed << ans << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
4 ms |
516 KB |
Output is correct |
6 |
Correct |
21 ms |
808 KB |
Output is correct |
7 |
Correct |
82 ms |
1316 KB |
Output is correct |
8 |
Correct |
181 ms |
1808 KB |
Output is correct |
9 |
Correct |
348 ms |
2288 KB |
Output is correct |
10 |
Correct |
154 ms |
1692 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
4 ms |
516 KB |
Output is correct |
6 |
Correct |
21 ms |
808 KB |
Output is correct |
7 |
Correct |
82 ms |
1316 KB |
Output is correct |
8 |
Correct |
181 ms |
1808 KB |
Output is correct |
9 |
Correct |
348 ms |
2288 KB |
Output is correct |
10 |
Correct |
154 ms |
1692 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
27 ms |
908 KB |
Output is correct |
13 |
Correct |
27 ms |
908 KB |
Output is correct |
14 |
Correct |
30 ms |
908 KB |
Output is correct |
15 |
Correct |
165 ms |
1696 KB |
Output is correct |
16 |
Correct |
169 ms |
1708 KB |
Output is correct |
17 |
Correct |
163 ms |
1668 KB |
Output is correct |
18 |
Correct |
378 ms |
2284 KB |
Output is correct |
19 |
Correct |
380 ms |
2288 KB |
Output is correct |
20 |
Correct |
351 ms |
2296 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
0 ms |
204 KB |
Output is correct |
17 |
Correct |
0 ms |
204 KB |
Output is correct |
18 |
Correct |
0 ms |
204 KB |
Output is correct |
19 |
Correct |
0 ms |
204 KB |
Output is correct |
20 |
Correct |
0 ms |
204 KB |
Output is correct |
21 |
Correct |
0 ms |
204 KB |
Output is correct |
22 |
Correct |
1 ms |
204 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
0 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
0 ms |
204 KB |
Output is correct |
28 |
Correct |
0 ms |
204 KB |
Output is correct |
29 |
Correct |
0 ms |
204 KB |
Output is correct |
30 |
Correct |
0 ms |
204 KB |
Output is correct |
31 |
Correct |
1 ms |
204 KB |
Output is correct |
32 |
Correct |
1 ms |
204 KB |
Output is correct |
33 |
Correct |
1 ms |
204 KB |
Output is correct |
34 |
Correct |
0 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
204 KB |
Output is correct |
36 |
Correct |
0 ms |
204 KB |
Output is correct |
37 |
Correct |
0 ms |
204 KB |
Output is correct |
38 |
Correct |
1 ms |
204 KB |
Output is correct |
39 |
Correct |
1 ms |
204 KB |
Output is correct |
40 |
Correct |
0 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
0 ms |
204 KB |
Output is correct |
17 |
Correct |
0 ms |
204 KB |
Output is correct |
18 |
Correct |
0 ms |
204 KB |
Output is correct |
19 |
Correct |
0 ms |
204 KB |
Output is correct |
20 |
Correct |
0 ms |
204 KB |
Output is correct |
21 |
Correct |
0 ms |
204 KB |
Output is correct |
22 |
Correct |
1 ms |
204 KB |
Output is correct |
23 |
Correct |
1 ms |
204 KB |
Output is correct |
24 |
Correct |
0 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
0 ms |
204 KB |
Output is correct |
28 |
Correct |
0 ms |
204 KB |
Output is correct |
29 |
Correct |
0 ms |
204 KB |
Output is correct |
30 |
Correct |
0 ms |
204 KB |
Output is correct |
31 |
Correct |
1 ms |
204 KB |
Output is correct |
32 |
Correct |
1 ms |
204 KB |
Output is correct |
33 |
Correct |
1 ms |
204 KB |
Output is correct |
34 |
Correct |
0 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
204 KB |
Output is correct |
36 |
Correct |
0 ms |
204 KB |
Output is correct |
37 |
Correct |
0 ms |
204 KB |
Output is correct |
38 |
Correct |
1 ms |
204 KB |
Output is correct |
39 |
Correct |
1 ms |
204 KB |
Output is correct |
40 |
Correct |
0 ms |
204 KB |
Output is correct |
41 |
Correct |
0 ms |
204 KB |
Output is correct |
42 |
Correct |
1 ms |
204 KB |
Output is correct |
43 |
Correct |
2 ms |
332 KB |
Output is correct |
44 |
Correct |
1 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
332 KB |
Output is correct |
46 |
Correct |
2 ms |
356 KB |
Output is correct |
47 |
Correct |
4 ms |
332 KB |
Output is correct |
48 |
Correct |
2 ms |
332 KB |
Output is correct |
49 |
Correct |
2 ms |
332 KB |
Output is correct |
50 |
Correct |
2 ms |
332 KB |
Output is correct |
51 |
Correct |
3 ms |
460 KB |
Output is correct |
52 |
Correct |
3 ms |
460 KB |
Output is correct |
53 |
Correct |
2 ms |
384 KB |
Output is correct |
54 |
Correct |
2 ms |
332 KB |
Output is correct |
55 |
Correct |
2 ms |
332 KB |
Output is correct |
56 |
Correct |
1 ms |
332 KB |
Output is correct |
57 |
Correct |
2 ms |
332 KB |
Output is correct |
58 |
Correct |
2 ms |
332 KB |
Output is correct |
59 |
Correct |
2 ms |
332 KB |
Output is correct |
60 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
395 ms |
2296 KB |
Output is correct |
2 |
Correct |
349 ms |
2288 KB |
Output is correct |
3 |
Correct |
335 ms |
2280 KB |
Output is correct |
4 |
Correct |
372 ms |
2344 KB |
Output is correct |
5 |
Correct |
361 ms |
2288 KB |
Output is correct |
6 |
Correct |
373 ms |
2292 KB |
Output is correct |
7 |
Correct |
341 ms |
2300 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
4 ms |
516 KB |
Output is correct |
6 |
Correct |
21 ms |
808 KB |
Output is correct |
7 |
Correct |
82 ms |
1316 KB |
Output is correct |
8 |
Correct |
181 ms |
1808 KB |
Output is correct |
9 |
Correct |
348 ms |
2288 KB |
Output is correct |
10 |
Correct |
154 ms |
1692 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
27 ms |
908 KB |
Output is correct |
13 |
Correct |
27 ms |
908 KB |
Output is correct |
14 |
Correct |
30 ms |
908 KB |
Output is correct |
15 |
Correct |
165 ms |
1696 KB |
Output is correct |
16 |
Correct |
169 ms |
1708 KB |
Output is correct |
17 |
Correct |
163 ms |
1668 KB |
Output is correct |
18 |
Correct |
378 ms |
2284 KB |
Output is correct |
19 |
Correct |
380 ms |
2288 KB |
Output is correct |
20 |
Correct |
351 ms |
2296 KB |
Output is correct |
21 |
Correct |
0 ms |
204 KB |
Output is correct |
22 |
Correct |
0 ms |
204 KB |
Output is correct |
23 |
Correct |
0 ms |
204 KB |
Output is correct |
24 |
Correct |
0 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
0 ms |
204 KB |
Output is correct |
28 |
Correct |
0 ms |
204 KB |
Output is correct |
29 |
Correct |
0 ms |
204 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
1 ms |
204 KB |
Output is correct |
32 |
Correct |
1 ms |
204 KB |
Output is correct |
33 |
Correct |
0 ms |
204 KB |
Output is correct |
34 |
Correct |
1 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
204 KB |
Output is correct |
36 |
Correct |
0 ms |
204 KB |
Output is correct |
37 |
Correct |
0 ms |
204 KB |
Output is correct |
38 |
Correct |
0 ms |
204 KB |
Output is correct |
39 |
Correct |
0 ms |
204 KB |
Output is correct |
40 |
Correct |
0 ms |
204 KB |
Output is correct |
41 |
Correct |
0 ms |
204 KB |
Output is correct |
42 |
Correct |
1 ms |
204 KB |
Output is correct |
43 |
Correct |
1 ms |
204 KB |
Output is correct |
44 |
Correct |
0 ms |
204 KB |
Output is correct |
45 |
Correct |
1 ms |
204 KB |
Output is correct |
46 |
Correct |
1 ms |
204 KB |
Output is correct |
47 |
Correct |
0 ms |
204 KB |
Output is correct |
48 |
Correct |
0 ms |
204 KB |
Output is correct |
49 |
Correct |
0 ms |
204 KB |
Output is correct |
50 |
Correct |
0 ms |
204 KB |
Output is correct |
51 |
Correct |
1 ms |
204 KB |
Output is correct |
52 |
Correct |
1 ms |
204 KB |
Output is correct |
53 |
Correct |
1 ms |
204 KB |
Output is correct |
54 |
Correct |
0 ms |
204 KB |
Output is correct |
55 |
Correct |
1 ms |
204 KB |
Output is correct |
56 |
Correct |
0 ms |
204 KB |
Output is correct |
57 |
Correct |
0 ms |
204 KB |
Output is correct |
58 |
Correct |
1 ms |
204 KB |
Output is correct |
59 |
Correct |
1 ms |
204 KB |
Output is correct |
60 |
Correct |
0 ms |
204 KB |
Output is correct |
61 |
Correct |
0 ms |
204 KB |
Output is correct |
62 |
Correct |
1 ms |
204 KB |
Output is correct |
63 |
Correct |
2 ms |
332 KB |
Output is correct |
64 |
Correct |
1 ms |
332 KB |
Output is correct |
65 |
Correct |
1 ms |
332 KB |
Output is correct |
66 |
Correct |
2 ms |
356 KB |
Output is correct |
67 |
Correct |
4 ms |
332 KB |
Output is correct |
68 |
Correct |
2 ms |
332 KB |
Output is correct |
69 |
Correct |
2 ms |
332 KB |
Output is correct |
70 |
Correct |
2 ms |
332 KB |
Output is correct |
71 |
Correct |
3 ms |
460 KB |
Output is correct |
72 |
Correct |
3 ms |
460 KB |
Output is correct |
73 |
Correct |
2 ms |
384 KB |
Output is correct |
74 |
Correct |
2 ms |
332 KB |
Output is correct |
75 |
Correct |
2 ms |
332 KB |
Output is correct |
76 |
Correct |
1 ms |
332 KB |
Output is correct |
77 |
Correct |
2 ms |
332 KB |
Output is correct |
78 |
Correct |
2 ms |
332 KB |
Output is correct |
79 |
Correct |
2 ms |
332 KB |
Output is correct |
80 |
Correct |
1 ms |
332 KB |
Output is correct |
81 |
Correct |
395 ms |
2296 KB |
Output is correct |
82 |
Correct |
349 ms |
2288 KB |
Output is correct |
83 |
Correct |
335 ms |
2280 KB |
Output is correct |
84 |
Correct |
372 ms |
2344 KB |
Output is correct |
85 |
Correct |
361 ms |
2288 KB |
Output is correct |
86 |
Correct |
373 ms |
2292 KB |
Output is correct |
87 |
Correct |
341 ms |
2300 KB |
Output is correct |
88 |
Correct |
3 ms |
516 KB |
Output is correct |
89 |
Correct |
4 ms |
516 KB |
Output is correct |
90 |
Correct |
18 ms |
824 KB |
Output is correct |
91 |
Correct |
30 ms |
808 KB |
Output is correct |
92 |
Correct |
85 ms |
1276 KB |
Output is correct |
93 |
Correct |
81 ms |
1308 KB |
Output is correct |
94 |
Correct |
185 ms |
1812 KB |
Output is correct |
95 |
Correct |
181 ms |
1804 KB |
Output is correct |
96 |
Correct |
278 ms |
2108 KB |
Output is correct |
97 |
Correct |
273 ms |
2096 KB |
Output is correct |
98 |
Correct |
157 ms |
1712 KB |
Output is correct |
99 |
Correct |
158 ms |
1700 KB |
Output is correct |
100 |
Correct |
154 ms |
1692 KB |
Output is correct |
101 |
Correct |
154 ms |
1700 KB |
Output is correct |
102 |
Correct |
160 ms |
1692 KB |
Output is correct |
103 |
Correct |
152 ms |
1676 KB |
Output is correct |
104 |
Correct |
177 ms |
1668 KB |
Output is correct |
105 |
Correct |
153 ms |
1708 KB |
Output is correct |