#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
const ld INF = 1e18;
int main() {
ios::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
int n, k;
cin >> n >> k;
pair<ld, ld> c[n + 1];
for(int i = 1; i <= n; i++) {
cin >> c[i].first >> c[i].second;
if(c[i].second == -1) c[i].second = INF;
}
sort(c + 1, c + n + 1, [](pair<ld, ld> x, pair<ld, ld> y){return x.second < y.second;});
ld res = INF;
for(int t = 0; t <= k; t++) {
vector<ld> dp(k - t + 1, INF);
dp[0] = 0;
for(int i = 1; i <= n; i++) {
vector<ld> newdp(k - t + 1, INF);
for(int j = 0; j <= k - t; j++) {
if(j) newdp[j] = min(newdp[j], dp[j - 1] + c[i].first / (t + 1));
if(i - j <= t) newdp[j] = min(newdp[j], dp[j] + c[i].second / (i - j));
else newdp[j] = min(newdp[j], dp[j]);
}
dp = newdp;
}
res = min(res, dp[k - t]);
}
cout << setprecision(9) << fixed << res;
}
# |
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 |
316 KB |
Output is correct |
5 |
Correct |
9 ms |
316 KB |
Output is correct |
6 |
Correct |
49 ms |
340 KB |
Output is correct |
7 |
Correct |
194 ms |
340 KB |
Output is correct |
8 |
Correct |
456 ms |
348 KB |
Output is correct |
9 |
Correct |
825 ms |
352 KB |
Output is correct |
10 |
Correct |
414 ms |
340 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 |
316 KB |
Output is correct |
5 |
Correct |
9 ms |
316 KB |
Output is correct |
6 |
Correct |
49 ms |
340 KB |
Output is correct |
7 |
Correct |
194 ms |
340 KB |
Output is correct |
8 |
Correct |
456 ms |
348 KB |
Output is correct |
9 |
Correct |
825 ms |
352 KB |
Output is correct |
10 |
Correct |
414 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
76 ms |
328 KB |
Output is correct |
13 |
Correct |
71 ms |
340 KB |
Output is correct |
14 |
Correct |
72 ms |
340 KB |
Output is correct |
15 |
Correct |
385 ms |
344 KB |
Output is correct |
16 |
Correct |
433 ms |
344 KB |
Output is correct |
17 |
Correct |
398 ms |
340 KB |
Output is correct |
18 |
Correct |
801 ms |
344 KB |
Output is correct |
19 |
Correct |
848 ms |
344 KB |
Output is correct |
20 |
Correct |
837 ms |
344 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 |
1 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 |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
220 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 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 |
1 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 |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
220 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 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 |
212 KB |
Output is correct |
20 |
Correct |
0 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 |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 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 |
212 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 |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
312 KB |
Output is correct |
38 |
Correct |
1 ms |
320 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 |
1 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 |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
220 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 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 |
212 KB |
Output is correct |
20 |
Correct |
0 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 |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 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 |
212 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 |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
312 KB |
Output is correct |
38 |
Correct |
1 ms |
320 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
320 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
2 ms |
316 KB |
Output is correct |
44 |
Correct |
1 ms |
316 KB |
Output is correct |
45 |
Correct |
3 ms |
340 KB |
Output is correct |
46 |
Correct |
3 ms |
340 KB |
Output is correct |
47 |
Correct |
4 ms |
340 KB |
Output is correct |
48 |
Correct |
4 ms |
340 KB |
Output is correct |
49 |
Correct |
5 ms |
324 KB |
Output is correct |
50 |
Correct |
6 ms |
320 KB |
Output is correct |
51 |
Correct |
9 ms |
316 KB |
Output is correct |
52 |
Correct |
9 ms |
340 KB |
Output is correct |
53 |
Correct |
3 ms |
320 KB |
Output is correct |
54 |
Correct |
4 ms |
340 KB |
Output is correct |
55 |
Correct |
5 ms |
340 KB |
Output is correct |
56 |
Correct |
4 ms |
340 KB |
Output is correct |
57 |
Correct |
3 ms |
340 KB |
Output is correct |
58 |
Correct |
5 ms |
340 KB |
Output is correct |
59 |
Correct |
4 ms |
316 KB |
Output is correct |
60 |
Correct |
4 ms |
312 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
902 ms |
344 KB |
Output is correct |
2 |
Correct |
898 ms |
356 KB |
Output is correct |
3 |
Correct |
835 ms |
396 KB |
Output is correct |
4 |
Correct |
884 ms |
388 KB |
Output is correct |
5 |
Correct |
849 ms |
344 KB |
Output is correct |
6 |
Correct |
870 ms |
348 KB |
Output is correct |
7 |
Correct |
852 ms |
348 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 |
316 KB |
Output is correct |
5 |
Correct |
9 ms |
316 KB |
Output is correct |
6 |
Correct |
49 ms |
340 KB |
Output is correct |
7 |
Correct |
194 ms |
340 KB |
Output is correct |
8 |
Correct |
456 ms |
348 KB |
Output is correct |
9 |
Correct |
825 ms |
352 KB |
Output is correct |
10 |
Correct |
414 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
76 ms |
328 KB |
Output is correct |
13 |
Correct |
71 ms |
340 KB |
Output is correct |
14 |
Correct |
72 ms |
340 KB |
Output is correct |
15 |
Correct |
385 ms |
344 KB |
Output is correct |
16 |
Correct |
433 ms |
344 KB |
Output is correct |
17 |
Correct |
398 ms |
340 KB |
Output is correct |
18 |
Correct |
801 ms |
344 KB |
Output is correct |
19 |
Correct |
848 ms |
344 KB |
Output is correct |
20 |
Correct |
837 ms |
344 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 |
1 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 |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
220 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 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 |
212 KB |
Output is correct |
40 |
Correct |
0 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 |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
340 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 |
212 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 |
340 KB |
Output is correct |
53 |
Correct |
1 ms |
348 KB |
Output is correct |
54 |
Correct |
0 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
212 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
57 |
Correct |
0 ms |
312 KB |
Output is correct |
58 |
Correct |
1 ms |
320 KB |
Output is correct |
59 |
Correct |
1 ms |
212 KB |
Output is correct |
60 |
Correct |
1 ms |
212 KB |
Output is correct |
61 |
Correct |
1 ms |
320 KB |
Output is correct |
62 |
Correct |
1 ms |
212 KB |
Output is correct |
63 |
Correct |
2 ms |
316 KB |
Output is correct |
64 |
Correct |
1 ms |
316 KB |
Output is correct |
65 |
Correct |
3 ms |
340 KB |
Output is correct |
66 |
Correct |
3 ms |
340 KB |
Output is correct |
67 |
Correct |
4 ms |
340 KB |
Output is correct |
68 |
Correct |
4 ms |
340 KB |
Output is correct |
69 |
Correct |
5 ms |
324 KB |
Output is correct |
70 |
Correct |
6 ms |
320 KB |
Output is correct |
71 |
Correct |
9 ms |
316 KB |
Output is correct |
72 |
Correct |
9 ms |
340 KB |
Output is correct |
73 |
Correct |
3 ms |
320 KB |
Output is correct |
74 |
Correct |
4 ms |
340 KB |
Output is correct |
75 |
Correct |
5 ms |
340 KB |
Output is correct |
76 |
Correct |
4 ms |
340 KB |
Output is correct |
77 |
Correct |
3 ms |
340 KB |
Output is correct |
78 |
Correct |
5 ms |
340 KB |
Output is correct |
79 |
Correct |
4 ms |
316 KB |
Output is correct |
80 |
Correct |
4 ms |
312 KB |
Output is correct |
81 |
Correct |
902 ms |
344 KB |
Output is correct |
82 |
Correct |
898 ms |
356 KB |
Output is correct |
83 |
Correct |
835 ms |
396 KB |
Output is correct |
84 |
Correct |
884 ms |
388 KB |
Output is correct |
85 |
Correct |
849 ms |
344 KB |
Output is correct |
86 |
Correct |
870 ms |
348 KB |
Output is correct |
87 |
Correct |
852 ms |
348 KB |
Output is correct |
88 |
Correct |
11 ms |
340 KB |
Output is correct |
89 |
Correct |
9 ms |
340 KB |
Output is correct |
90 |
Correct |
52 ms |
344 KB |
Output is correct |
91 |
Correct |
49 ms |
372 KB |
Output is correct |
92 |
Correct |
196 ms |
340 KB |
Output is correct |
93 |
Correct |
204 ms |
340 KB |
Output is correct |
94 |
Correct |
456 ms |
340 KB |
Output is correct |
95 |
Correct |
485 ms |
340 KB |
Output is correct |
96 |
Correct |
645 ms |
360 KB |
Output is correct |
97 |
Correct |
654 ms |
344 KB |
Output is correct |
98 |
Correct |
414 ms |
344 KB |
Output is correct |
99 |
Correct |
403 ms |
344 KB |
Output is correct |
100 |
Correct |
399 ms |
340 KB |
Output is correct |
101 |
Correct |
390 ms |
364 KB |
Output is correct |
102 |
Correct |
398 ms |
344 KB |
Output is correct |
103 |
Correct |
408 ms |
340 KB |
Output is correct |
104 |
Correct |
407 ms |
340 KB |
Output is correct |
105 |
Correct |
426 ms |
340 KB |
Output is correct |