#include <bits/stdc++.h>
using namespace std;
typedef long double ld;
constexpr int MAXN = 5e2 + 8;
constexpr ld oo = 2e10;
ld dp[MAXN][MAXN];
pair<ld, ld> T[MAXN];
int n, k;
ld check(ld m){
for(int i = 0; i <= n; i++)
for(int j = 0; j <= k; j++)
dp[i][j] = oo;
dp[0][0] = 0;
for(int i = 1; i <= n; i++){
for(int j = 0; j <= min(k-(int)m, i); j++){
//dokladamy A
//if(j < i) dp[i][j] = min(dp[i][j], (j?(dp[i-1][j-1] + (T[i].second/(m+1)): oo));
//dokladamy B
//dp[i][j] = (dp[i-1][j] + (T[i].first/min((ld)(i-j), m+1)));
//min((j?(dp[i-1][j-1] + T[i].second/(m+1)): oo), ((i-j)?(dp[i-1][j] + T[i].first/min((ld)(i-j), m+1)): oo));
//dokladamy A
dp[i][j+1] = min(dp[i][j+1], dp[i-1][j] + (T[i].second/(m+1)));
//dokladamy B
if(i-j)
dp[i][j] = min(dp[i][j], dp[i-1][j] + ((i-j <= m)? (T[i].first/min((ld)(i-j), m+1)):0));
}
}
return dp[n][k-(int)m];
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> k;
for(int i = 1; i <= n; i++){
ld a, b;
cin >> a >> b;
if(b == -1) b = oo;
T[i] = {b, a};
}
sort(T+1, T+1+n);
ld best = oo;
for(int i = 0; i <= (k-1); i++)
best = min(best, check(i));
cout << fixed << setprecision(9) << best << "\n";
}
# |
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 |
13 ms |
3712 KB |
Output is correct |
6 |
Correct |
75 ms |
3932 KB |
Output is correct |
7 |
Correct |
280 ms |
4688 KB |
Output is correct |
8 |
Correct |
600 ms |
4444 KB |
Output is correct |
9 |
Correct |
1008 ms |
4692 KB |
Output is correct |
10 |
Correct |
525 ms |
4444 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 |
13 ms |
3712 KB |
Output is correct |
6 |
Correct |
75 ms |
3932 KB |
Output is correct |
7 |
Correct |
280 ms |
4688 KB |
Output is correct |
8 |
Correct |
600 ms |
4444 KB |
Output is correct |
9 |
Correct |
1008 ms |
4692 KB |
Output is correct |
10 |
Correct |
525 ms |
4444 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
106 ms |
4064 KB |
Output is correct |
13 |
Correct |
105 ms |
4064 KB |
Output is correct |
14 |
Correct |
105 ms |
3932 KB |
Output is correct |
15 |
Correct |
524 ms |
4696 KB |
Output is correct |
16 |
Correct |
534 ms |
4444 KB |
Output is correct |
17 |
Correct |
524 ms |
4444 KB |
Output is correct |
18 |
Correct |
1006 ms |
4692 KB |
Output is correct |
19 |
Correct |
1006 ms |
4688 KB |
Output is correct |
20 |
Correct |
1006 ms |
4452 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
344 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 |
600 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
344 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 |
600 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 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 |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
344 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 |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
348 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 |
1 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 |
1 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 |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
344 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 |
600 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 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 |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
344 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 |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
348 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 |
1 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 |
1 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 |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
1 ms |
2396 KB |
Output is correct |
42 |
Correct |
1 ms |
2392 KB |
Output is correct |
43 |
Correct |
2 ms |
2396 KB |
Output is correct |
44 |
Correct |
2 ms |
2396 KB |
Output is correct |
45 |
Correct |
3 ms |
2396 KB |
Output is correct |
46 |
Correct |
3 ms |
2616 KB |
Output is correct |
47 |
Correct |
5 ms |
2396 KB |
Output is correct |
48 |
Correct |
5 ms |
2616 KB |
Output is correct |
49 |
Correct |
6 ms |
2396 KB |
Output is correct |
50 |
Correct |
6 ms |
2392 KB |
Output is correct |
51 |
Correct |
9 ms |
2396 KB |
Output is correct |
52 |
Correct |
9 ms |
2396 KB |
Output is correct |
53 |
Correct |
4 ms |
2392 KB |
Output is correct |
54 |
Correct |
4 ms |
2396 KB |
Output is correct |
55 |
Correct |
5 ms |
2396 KB |
Output is correct |
56 |
Correct |
4 ms |
2396 KB |
Output is correct |
57 |
Correct |
4 ms |
2396 KB |
Output is correct |
58 |
Correct |
4 ms |
2396 KB |
Output is correct |
59 |
Correct |
4 ms |
2612 KB |
Output is correct |
60 |
Correct |
5 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1008 ms |
4452 KB |
Output is correct |
2 |
Correct |
1008 ms |
4452 KB |
Output is correct |
3 |
Correct |
1006 ms |
4452 KB |
Output is correct |
4 |
Correct |
1002 ms |
4448 KB |
Output is correct |
5 |
Correct |
1004 ms |
4448 KB |
Output is correct |
6 |
Correct |
1014 ms |
4444 KB |
Output is correct |
7 |
Correct |
1004 ms |
4688 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 |
13 ms |
3712 KB |
Output is correct |
6 |
Correct |
75 ms |
3932 KB |
Output is correct |
7 |
Correct |
280 ms |
4688 KB |
Output is correct |
8 |
Correct |
600 ms |
4444 KB |
Output is correct |
9 |
Correct |
1008 ms |
4692 KB |
Output is correct |
10 |
Correct |
525 ms |
4444 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
106 ms |
4064 KB |
Output is correct |
13 |
Correct |
105 ms |
4064 KB |
Output is correct |
14 |
Correct |
105 ms |
3932 KB |
Output is correct |
15 |
Correct |
524 ms |
4696 KB |
Output is correct |
16 |
Correct |
534 ms |
4444 KB |
Output is correct |
17 |
Correct |
524 ms |
4444 KB |
Output is correct |
18 |
Correct |
1006 ms |
4692 KB |
Output is correct |
19 |
Correct |
1006 ms |
4688 KB |
Output is correct |
20 |
Correct |
1006 ms |
4452 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 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 |
344 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 |
600 KB |
Output is correct |
32 |
Correct |
0 ms |
344 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
1 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 |
344 KB |
Output is correct |
38 |
Correct |
0 ms |
344 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 |
344 KB |
Output is correct |
42 |
Correct |
0 ms |
348 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 |
1 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 |
1 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 |
348 KB |
Output is correct |
57 |
Correct |
0 ms |
348 KB |
Output is correct |
58 |
Correct |
0 ms |
348 KB |
Output is correct |
59 |
Correct |
1 ms |
348 KB |
Output is correct |
60 |
Correct |
1 ms |
348 KB |
Output is correct |
61 |
Correct |
1 ms |
2396 KB |
Output is correct |
62 |
Correct |
1 ms |
2392 KB |
Output is correct |
63 |
Correct |
2 ms |
2396 KB |
Output is correct |
64 |
Correct |
2 ms |
2396 KB |
Output is correct |
65 |
Correct |
3 ms |
2396 KB |
Output is correct |
66 |
Correct |
3 ms |
2616 KB |
Output is correct |
67 |
Correct |
5 ms |
2396 KB |
Output is correct |
68 |
Correct |
5 ms |
2616 KB |
Output is correct |
69 |
Correct |
6 ms |
2396 KB |
Output is correct |
70 |
Correct |
6 ms |
2392 KB |
Output is correct |
71 |
Correct |
9 ms |
2396 KB |
Output is correct |
72 |
Correct |
9 ms |
2396 KB |
Output is correct |
73 |
Correct |
4 ms |
2392 KB |
Output is correct |
74 |
Correct |
4 ms |
2396 KB |
Output is correct |
75 |
Correct |
5 ms |
2396 KB |
Output is correct |
76 |
Correct |
4 ms |
2396 KB |
Output is correct |
77 |
Correct |
4 ms |
2396 KB |
Output is correct |
78 |
Correct |
4 ms |
2396 KB |
Output is correct |
79 |
Correct |
4 ms |
2612 KB |
Output is correct |
80 |
Correct |
5 ms |
2396 KB |
Output is correct |
81 |
Correct |
1008 ms |
4452 KB |
Output is correct |
82 |
Correct |
1008 ms |
4452 KB |
Output is correct |
83 |
Correct |
1006 ms |
4452 KB |
Output is correct |
84 |
Correct |
1002 ms |
4448 KB |
Output is correct |
85 |
Correct |
1004 ms |
4448 KB |
Output is correct |
86 |
Correct |
1014 ms |
4444 KB |
Output is correct |
87 |
Correct |
1004 ms |
4688 KB |
Output is correct |
88 |
Correct |
14 ms |
3672 KB |
Output is correct |
89 |
Correct |
13 ms |
3676 KB |
Output is correct |
90 |
Correct |
75 ms |
3932 KB |
Output is correct |
91 |
Correct |
74 ms |
3932 KB |
Output is correct |
92 |
Correct |
279 ms |
4444 KB |
Output is correct |
93 |
Correct |
283 ms |
4444 KB |
Output is correct |
94 |
Correct |
592 ms |
4444 KB |
Output is correct |
95 |
Correct |
594 ms |
4444 KB |
Output is correct |
96 |
Correct |
830 ms |
4448 KB |
Output is correct |
97 |
Correct |
834 ms |
4448 KB |
Output is correct |
98 |
Correct |
525 ms |
4688 KB |
Output is correct |
99 |
Correct |
522 ms |
4440 KB |
Output is correct |
100 |
Correct |
550 ms |
4444 KB |
Output is correct |
101 |
Correct |
528 ms |
4448 KB |
Output is correct |
102 |
Correct |
522 ms |
4444 KB |
Output is correct |
103 |
Correct |
525 ms |
4440 KB |
Output is correct |
104 |
Correct |
526 ms |
4692 KB |
Output is correct |
105 |
Correct |
521 ms |
4440 KB |
Output is correct |