#include <bits/stdc++.h>
#define Loop(x,l,r) for (ll x = (l); x < (ll)(r); ++x)
#define LoopR(x,l,r) for (ll x = (r)-1; x >= (ll)(l); --x)
typedef long long ll;
typedef std::pair<int, int> pii;
typedef std::pair<ll , ll > pll;
using namespace std;
const int N = 512;
const ll inf = 1e15;
double dp1_[N][N], dp2_[N][N];
auto dp1 = dp1_, dp2 = dp2_;
pll a[N];
int n;
#define SMIN(x, y) ((x) = min((x), (y)))
double calc(ll col_tar, ll tot_tar)
{
dp1[0][0] = 0;
Loop (pos,0,n) {
Loop (col,0,pos+1) Loop (tot,col,pos+1)
dp2[col][tot] = dp1[col][tot];
Loop (col,0,pos+2)
dp2[col][pos+1] = inf;
if (a[pos].first != inf) {
Loop (col,0,pos+1) Loop (tot,col,pos+1)
SMIN(dp2[col+1][tot+1], dp1[col][tot] + (double)a[pos].first / (col + 1));
}
Loop (col,0,pos+1) Loop (tot,col,pos+1)
SMIN(dp2[col][tot+1], dp1[col][tot] + (double)a[pos].second / (col_tar + 1));
swap(dp1, dp2);
}
return dp1[col_tar][tot_tar];
}
int main()
{
cin.tie(0) -> sync_with_stdio(false);
int k;
cin >> n >> k;
Loop (i,0,n) {
cin >> a[i].second >> a[i].first;
if (a[i].first == -1)
a[i].first = inf;
}
sort(a, a + n);
int l = 0, r = k-1;
while (l < r) {
int m = (l + r)/2;
if (calc(m, k) > calc(m+1, k))
l = m+1;
else
r = m;
}
cout << fixed << setprecision(9);
cout << calc(l, k) << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
0 ms |
2392 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
290 ms |
4504 KB |
Output is correct |
6 |
Correct |
324 ms |
4444 KB |
Output is correct |
7 |
Correct |
365 ms |
4444 KB |
Output is correct |
8 |
Correct |
430 ms |
4444 KB |
Output is correct |
9 |
Correct |
427 ms |
4444 KB |
Output is correct |
10 |
Correct |
441 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
0 ms |
2392 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
290 ms |
4504 KB |
Output is correct |
6 |
Correct |
324 ms |
4444 KB |
Output is correct |
7 |
Correct |
365 ms |
4444 KB |
Output is correct |
8 |
Correct |
430 ms |
4444 KB |
Output is correct |
9 |
Correct |
427 ms |
4444 KB |
Output is correct |
10 |
Correct |
441 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
538 ms |
4444 KB |
Output is correct |
13 |
Correct |
430 ms |
4432 KB |
Output is correct |
14 |
Correct |
370 ms |
4508 KB |
Output is correct |
15 |
Correct |
594 ms |
4432 KB |
Output is correct |
16 |
Correct |
422 ms |
4444 KB |
Output is correct |
17 |
Correct |
366 ms |
4436 KB |
Output is correct |
18 |
Correct |
615 ms |
4504 KB |
Output is correct |
19 |
Correct |
476 ms |
4436 KB |
Output is correct |
20 |
Correct |
418 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
0 ms |
2396 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
0 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
0 ms |
2396 KB |
Output is correct |
12 |
Correct |
0 ms |
2396 KB |
Output is correct |
13 |
Correct |
0 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
0 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
0 ms |
2396 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
0 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
0 ms |
2396 KB |
Output is correct |
12 |
Correct |
0 ms |
2396 KB |
Output is correct |
13 |
Correct |
0 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
0 ms |
2396 KB |
Output is correct |
16 |
Correct |
0 ms |
2508 KB |
Output is correct |
17 |
Correct |
0 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2392 KB |
Output is correct |
19 |
Correct |
0 ms |
2396 KB |
Output is correct |
20 |
Correct |
0 ms |
2396 KB |
Output is correct |
21 |
Correct |
0 ms |
2512 KB |
Output is correct |
22 |
Correct |
0 ms |
2392 KB |
Output is correct |
23 |
Correct |
0 ms |
2396 KB |
Output is correct |
24 |
Correct |
0 ms |
2396 KB |
Output is correct |
25 |
Correct |
0 ms |
2396 KB |
Output is correct |
26 |
Correct |
0 ms |
2508 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
0 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2392 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
0 ms |
2396 KB |
Output is correct |
32 |
Correct |
0 ms |
2396 KB |
Output is correct |
33 |
Correct |
0 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
0 ms |
2396 KB |
Output is correct |
36 |
Correct |
0 ms |
2396 KB |
Output is correct |
37 |
Correct |
0 ms |
2396 KB |
Output is correct |
38 |
Correct |
0 ms |
2396 KB |
Output is correct |
39 |
Correct |
0 ms |
2396 KB |
Output is correct |
40 |
Correct |
0 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
0 ms |
2396 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
0 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
0 ms |
2396 KB |
Output is correct |
12 |
Correct |
0 ms |
2396 KB |
Output is correct |
13 |
Correct |
0 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
0 ms |
2396 KB |
Output is correct |
16 |
Correct |
0 ms |
2508 KB |
Output is correct |
17 |
Correct |
0 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2392 KB |
Output is correct |
19 |
Correct |
0 ms |
2396 KB |
Output is correct |
20 |
Correct |
0 ms |
2396 KB |
Output is correct |
21 |
Correct |
0 ms |
2512 KB |
Output is correct |
22 |
Correct |
0 ms |
2392 KB |
Output is correct |
23 |
Correct |
0 ms |
2396 KB |
Output is correct |
24 |
Correct |
0 ms |
2396 KB |
Output is correct |
25 |
Correct |
0 ms |
2396 KB |
Output is correct |
26 |
Correct |
0 ms |
2508 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
0 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2392 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
0 ms |
2396 KB |
Output is correct |
32 |
Correct |
0 ms |
2396 KB |
Output is correct |
33 |
Correct |
0 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
0 ms |
2396 KB |
Output is correct |
36 |
Correct |
0 ms |
2396 KB |
Output is correct |
37 |
Correct |
0 ms |
2396 KB |
Output is correct |
38 |
Correct |
0 ms |
2396 KB |
Output is correct |
39 |
Correct |
0 ms |
2396 KB |
Output is correct |
40 |
Correct |
0 ms |
2396 KB |
Output is correct |
41 |
Correct |
5 ms |
2904 KB |
Output is correct |
42 |
Correct |
3 ms |
2908 KB |
Output is correct |
43 |
Correct |
4 ms |
2908 KB |
Output is correct |
44 |
Correct |
3 ms |
2908 KB |
Output is correct |
45 |
Correct |
5 ms |
2904 KB |
Output is correct |
46 |
Correct |
4 ms |
2908 KB |
Output is correct |
47 |
Correct |
5 ms |
2908 KB |
Output is correct |
48 |
Correct |
4 ms |
2908 KB |
Output is correct |
49 |
Correct |
5 ms |
2908 KB |
Output is correct |
50 |
Correct |
5 ms |
2908 KB |
Output is correct |
51 |
Correct |
4 ms |
2908 KB |
Output is correct |
52 |
Correct |
4 ms |
2908 KB |
Output is correct |
53 |
Correct |
4 ms |
2764 KB |
Output is correct |
54 |
Correct |
4 ms |
2908 KB |
Output is correct |
55 |
Correct |
6 ms |
2904 KB |
Output is correct |
56 |
Correct |
5 ms |
2904 KB |
Output is correct |
57 |
Correct |
5 ms |
2904 KB |
Output is correct |
58 |
Correct |
5 ms |
2904 KB |
Output is correct |
59 |
Correct |
4 ms |
2920 KB |
Output is correct |
60 |
Correct |
4 ms |
2920 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
708 ms |
4432 KB |
Output is correct |
2 |
Correct |
676 ms |
4360 KB |
Output is correct |
3 |
Correct |
698 ms |
4512 KB |
Output is correct |
4 |
Correct |
680 ms |
4432 KB |
Output is correct |
5 |
Correct |
670 ms |
4432 KB |
Output is correct |
6 |
Correct |
693 ms |
4512 KB |
Output is correct |
7 |
Correct |
668 ms |
4504 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
0 ms |
2392 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
290 ms |
4504 KB |
Output is correct |
6 |
Correct |
324 ms |
4444 KB |
Output is correct |
7 |
Correct |
365 ms |
4444 KB |
Output is correct |
8 |
Correct |
430 ms |
4444 KB |
Output is correct |
9 |
Correct |
427 ms |
4444 KB |
Output is correct |
10 |
Correct |
441 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
538 ms |
4444 KB |
Output is correct |
13 |
Correct |
430 ms |
4432 KB |
Output is correct |
14 |
Correct |
370 ms |
4508 KB |
Output is correct |
15 |
Correct |
594 ms |
4432 KB |
Output is correct |
16 |
Correct |
422 ms |
4444 KB |
Output is correct |
17 |
Correct |
366 ms |
4436 KB |
Output is correct |
18 |
Correct |
615 ms |
4504 KB |
Output is correct |
19 |
Correct |
476 ms |
4436 KB |
Output is correct |
20 |
Correct |
418 ms |
4444 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
0 ms |
2396 KB |
Output is correct |
23 |
Correct |
0 ms |
2396 KB |
Output is correct |
24 |
Correct |
0 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
0 ms |
2396 KB |
Output is correct |
27 |
Correct |
0 ms |
2396 KB |
Output is correct |
28 |
Correct |
0 ms |
2396 KB |
Output is correct |
29 |
Correct |
0 ms |
2396 KB |
Output is correct |
30 |
Correct |
0 ms |
2396 KB |
Output is correct |
31 |
Correct |
0 ms |
2396 KB |
Output is correct |
32 |
Correct |
0 ms |
2396 KB |
Output is correct |
33 |
Correct |
0 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
0 ms |
2396 KB |
Output is correct |
36 |
Correct |
0 ms |
2508 KB |
Output is correct |
37 |
Correct |
0 ms |
2396 KB |
Output is correct |
38 |
Correct |
1 ms |
2392 KB |
Output is correct |
39 |
Correct |
0 ms |
2396 KB |
Output is correct |
40 |
Correct |
0 ms |
2396 KB |
Output is correct |
41 |
Correct |
0 ms |
2512 KB |
Output is correct |
42 |
Correct |
0 ms |
2392 KB |
Output is correct |
43 |
Correct |
0 ms |
2396 KB |
Output is correct |
44 |
Correct |
0 ms |
2396 KB |
Output is correct |
45 |
Correct |
0 ms |
2396 KB |
Output is correct |
46 |
Correct |
0 ms |
2508 KB |
Output is correct |
47 |
Correct |
1 ms |
2396 KB |
Output is correct |
48 |
Correct |
0 ms |
2396 KB |
Output is correct |
49 |
Correct |
1 ms |
2392 KB |
Output is correct |
50 |
Correct |
1 ms |
2396 KB |
Output is correct |
51 |
Correct |
0 ms |
2396 KB |
Output is correct |
52 |
Correct |
0 ms |
2396 KB |
Output is correct |
53 |
Correct |
0 ms |
2396 KB |
Output is correct |
54 |
Correct |
1 ms |
2396 KB |
Output is correct |
55 |
Correct |
0 ms |
2396 KB |
Output is correct |
56 |
Correct |
0 ms |
2396 KB |
Output is correct |
57 |
Correct |
0 ms |
2396 KB |
Output is correct |
58 |
Correct |
0 ms |
2396 KB |
Output is correct |
59 |
Correct |
0 ms |
2396 KB |
Output is correct |
60 |
Correct |
0 ms |
2396 KB |
Output is correct |
61 |
Correct |
5 ms |
2904 KB |
Output is correct |
62 |
Correct |
3 ms |
2908 KB |
Output is correct |
63 |
Correct |
4 ms |
2908 KB |
Output is correct |
64 |
Correct |
3 ms |
2908 KB |
Output is correct |
65 |
Correct |
5 ms |
2904 KB |
Output is correct |
66 |
Correct |
4 ms |
2908 KB |
Output is correct |
67 |
Correct |
5 ms |
2908 KB |
Output is correct |
68 |
Correct |
4 ms |
2908 KB |
Output is correct |
69 |
Correct |
5 ms |
2908 KB |
Output is correct |
70 |
Correct |
5 ms |
2908 KB |
Output is correct |
71 |
Correct |
4 ms |
2908 KB |
Output is correct |
72 |
Correct |
4 ms |
2908 KB |
Output is correct |
73 |
Correct |
4 ms |
2764 KB |
Output is correct |
74 |
Correct |
4 ms |
2908 KB |
Output is correct |
75 |
Correct |
6 ms |
2904 KB |
Output is correct |
76 |
Correct |
5 ms |
2904 KB |
Output is correct |
77 |
Correct |
5 ms |
2904 KB |
Output is correct |
78 |
Correct |
5 ms |
2904 KB |
Output is correct |
79 |
Correct |
4 ms |
2920 KB |
Output is correct |
80 |
Correct |
4 ms |
2920 KB |
Output is correct |
81 |
Correct |
708 ms |
4432 KB |
Output is correct |
82 |
Correct |
676 ms |
4360 KB |
Output is correct |
83 |
Correct |
698 ms |
4512 KB |
Output is correct |
84 |
Correct |
680 ms |
4432 KB |
Output is correct |
85 |
Correct |
670 ms |
4432 KB |
Output is correct |
86 |
Correct |
693 ms |
4512 KB |
Output is correct |
87 |
Correct |
668 ms |
4504 KB |
Output is correct |
88 |
Correct |
465 ms |
4432 KB |
Output is correct |
89 |
Correct |
497 ms |
4432 KB |
Output is correct |
90 |
Correct |
548 ms |
4524 KB |
Output is correct |
91 |
Correct |
525 ms |
4292 KB |
Output is correct |
92 |
Correct |
615 ms |
4508 KB |
Output is correct |
93 |
Correct |
609 ms |
4508 KB |
Output is correct |
94 |
Correct |
706 ms |
4512 KB |
Output is correct |
95 |
Correct |
693 ms |
4436 KB |
Output is correct |
96 |
Correct |
683 ms |
4500 KB |
Output is correct |
97 |
Correct |
673 ms |
4512 KB |
Output is correct |
98 |
Correct |
603 ms |
4436 KB |
Output is correct |
99 |
Correct |
616 ms |
4504 KB |
Output is correct |
100 |
Correct |
648 ms |
4436 KB |
Output is correct |
101 |
Correct |
672 ms |
4432 KB |
Output is correct |
102 |
Correct |
603 ms |
4504 KB |
Output is correct |
103 |
Correct |
714 ms |
4432 KB |
Output is correct |
104 |
Correct |
611 ms |
4504 KB |
Output is correct |
105 |
Correct |
695 ms |
4504 KB |
Output is correct |