#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define sz(x) (int)size(x)
#define all(x) (x).begin(), (x).end()
constexpr double inf = 1e18;
double pmin(double &a, double b){
return a = min(a, b);
}
int main(){
cin.tie(0)->sync_with_stdio(false);
int n, k;
cin >> n >> k;
vector<double> a(n), b(n);
for(int i = 0; i < n; i++){
cin >> a[i] >> b[i];
if(b[i] < 0) b[i] = inf;
}
{
vector<int> ord(n);
for(int i = 0; i < n; i++) ord[i] = i;
sort(all(ord), [&](int i, int j){return b[i] < b[j];});
vector<double> a2(n), b2(n);
for(int i = 0; i < n; i++) a2[i] = a[ord[i]], b2[i] = b[ord[i]];
a = a2, b = b2;
}
vector<int> ordA(n);
for(int i = 0; i < n; i++) ordA[i] = i;
sort(all(ordA), [&](int i, int j){return a[i] < a[j];});
double ans = inf;
for(int l = 0; l <= k; l++){
vector<vector<double>> dp(k+1, vector<double>(l+1, inf));
dp[0][0] = 0;
for(int i = 0; i < k; i++){
for(int j = 0; j <= l; j++){
if(j < l) pmin(dp[i+1][j+1], dp[i][j] + b[i] / (1+j));
pmin(dp[i+1][j], dp[i][j] + a[i] / (1+l));
}
}
for(int i = l; i <= k; i++){
double val = dp[i][l];
int cnt = i;
for(int j : ordA){
if(j >= i && cnt < k){
val += a[j] / (1+l);
cnt++;
}
}
ans = min(ans, val);
}
}
cout << setprecision(6) << fixed << ans << "\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
6 ms |
604 KB |
Output is correct |
7 |
Correct |
44 ms |
1184 KB |
Output is correct |
8 |
Correct |
143 ms |
1768 KB |
Output is correct |
9 |
Correct |
310 ms |
2812 KB |
Output is correct |
10 |
Correct |
118 ms |
1996 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
6 ms |
604 KB |
Output is correct |
7 |
Correct |
44 ms |
1184 KB |
Output is correct |
8 |
Correct |
143 ms |
1768 KB |
Output is correct |
9 |
Correct |
310 ms |
2812 KB |
Output is correct |
10 |
Correct |
118 ms |
1996 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
12 ms |
876 KB |
Output is correct |
13 |
Correct |
10 ms |
892 KB |
Output is correct |
14 |
Correct |
11 ms |
872 KB |
Output is correct |
15 |
Correct |
114 ms |
2004 KB |
Output is correct |
16 |
Correct |
117 ms |
1648 KB |
Output is correct |
17 |
Correct |
124 ms |
2012 KB |
Output is correct |
18 |
Correct |
311 ms |
2780 KB |
Output is correct |
19 |
Correct |
318 ms |
2632 KB |
Output is correct |
20 |
Correct |
362 ms |
2756 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
596 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 |
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 |
384 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 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 |
596 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 |
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 |
384 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
344 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
344 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 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 |
344 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 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 |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
596 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 |
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 |
384 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
344 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
344 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 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 |
344 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 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 |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
41 |
Correct |
0 ms |
348 KB |
Output is correct |
42 |
Correct |
0 ms |
344 KB |
Output is correct |
43 |
Correct |
1 ms |
344 KB |
Output is correct |
44 |
Correct |
1 ms |
344 KB |
Output is correct |
45 |
Correct |
1 ms |
348 KB |
Output is correct |
46 |
Correct |
1 ms |
344 KB |
Output is correct |
47 |
Correct |
2 ms |
348 KB |
Output is correct |
48 |
Correct |
1 ms |
348 KB |
Output is correct |
49 |
Correct |
1 ms |
348 KB |
Output is correct |
50 |
Correct |
1 ms |
604 KB |
Output is correct |
51 |
Correct |
3 ms |
604 KB |
Output is correct |
52 |
Correct |
2 ms |
604 KB |
Output is correct |
53 |
Correct |
1 ms |
348 KB |
Output is correct |
54 |
Correct |
2 ms |
384 KB |
Output is correct |
55 |
Correct |
1 ms |
348 KB |
Output is correct |
56 |
Correct |
1 ms |
348 KB |
Output is correct |
57 |
Correct |
1 ms |
348 KB |
Output is correct |
58 |
Correct |
1 ms |
348 KB |
Output is correct |
59 |
Correct |
2 ms |
348 KB |
Output is correct |
60 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
338 ms |
2768 KB |
Output is correct |
2 |
Correct |
311 ms |
2632 KB |
Output is correct |
3 |
Correct |
336 ms |
2816 KB |
Output is correct |
4 |
Correct |
312 ms |
2676 KB |
Output is correct |
5 |
Correct |
329 ms |
2760 KB |
Output is correct |
6 |
Correct |
317 ms |
2704 KB |
Output is correct |
7 |
Correct |
331 ms |
2708 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
6 ms |
604 KB |
Output is correct |
7 |
Correct |
44 ms |
1184 KB |
Output is correct |
8 |
Correct |
143 ms |
1768 KB |
Output is correct |
9 |
Correct |
310 ms |
2812 KB |
Output is correct |
10 |
Correct |
118 ms |
1996 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
12 ms |
876 KB |
Output is correct |
13 |
Correct |
10 ms |
892 KB |
Output is correct |
14 |
Correct |
11 ms |
872 KB |
Output is correct |
15 |
Correct |
114 ms |
2004 KB |
Output is correct |
16 |
Correct |
117 ms |
1648 KB |
Output is correct |
17 |
Correct |
124 ms |
2012 KB |
Output is correct |
18 |
Correct |
311 ms |
2780 KB |
Output is correct |
19 |
Correct |
318 ms |
2632 KB |
Output is correct |
20 |
Correct |
362 ms |
2756 KB |
Output is correct |
21 |
Correct |
0 ms |
596 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 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 |
384 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 |
344 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
0 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 |
344 KB |
Output is correct |
37 |
Correct |
0 ms |
344 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
41 |
Correct |
0 ms |
348 KB |
Output is correct |
42 |
Correct |
0 ms |
348 KB |
Output is correct |
43 |
Correct |
0 ms |
348 KB |
Output is correct |
44 |
Correct |
0 ms |
344 KB |
Output is correct |
45 |
Correct |
0 ms |
348 KB |
Output is correct |
46 |
Correct |
0 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 |
344 KB |
Output is correct |
51 |
Correct |
0 ms |
348 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 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 |
0 ms |
348 KB |
Output is correct |
60 |
Correct |
0 ms |
348 KB |
Output is correct |
61 |
Correct |
0 ms |
348 KB |
Output is correct |
62 |
Correct |
0 ms |
344 KB |
Output is correct |
63 |
Correct |
1 ms |
344 KB |
Output is correct |
64 |
Correct |
1 ms |
344 KB |
Output is correct |
65 |
Correct |
1 ms |
348 KB |
Output is correct |
66 |
Correct |
1 ms |
344 KB |
Output is correct |
67 |
Correct |
2 ms |
348 KB |
Output is correct |
68 |
Correct |
1 ms |
348 KB |
Output is correct |
69 |
Correct |
1 ms |
348 KB |
Output is correct |
70 |
Correct |
1 ms |
604 KB |
Output is correct |
71 |
Correct |
3 ms |
604 KB |
Output is correct |
72 |
Correct |
2 ms |
604 KB |
Output is correct |
73 |
Correct |
1 ms |
348 KB |
Output is correct |
74 |
Correct |
2 ms |
384 KB |
Output is correct |
75 |
Correct |
1 ms |
348 KB |
Output is correct |
76 |
Correct |
1 ms |
348 KB |
Output is correct |
77 |
Correct |
1 ms |
348 KB |
Output is correct |
78 |
Correct |
1 ms |
348 KB |
Output is correct |
79 |
Correct |
2 ms |
348 KB |
Output is correct |
80 |
Correct |
1 ms |
348 KB |
Output is correct |
81 |
Correct |
338 ms |
2768 KB |
Output is correct |
82 |
Correct |
311 ms |
2632 KB |
Output is correct |
83 |
Correct |
336 ms |
2816 KB |
Output is correct |
84 |
Correct |
312 ms |
2676 KB |
Output is correct |
85 |
Correct |
329 ms |
2760 KB |
Output is correct |
86 |
Correct |
317 ms |
2704 KB |
Output is correct |
87 |
Correct |
331 ms |
2708 KB |
Output is correct |
88 |
Correct |
2 ms |
344 KB |
Output is correct |
89 |
Correct |
1 ms |
348 KB |
Output is correct |
90 |
Correct |
7 ms |
856 KB |
Output is correct |
91 |
Correct |
7 ms |
608 KB |
Output is correct |
92 |
Correct |
46 ms |
1168 KB |
Output is correct |
93 |
Correct |
46 ms |
1172 KB |
Output is correct |
94 |
Correct |
144 ms |
1776 KB |
Output is correct |
95 |
Correct |
145 ms |
1784 KB |
Output is correct |
96 |
Correct |
252 ms |
2488 KB |
Output is correct |
97 |
Correct |
244 ms |
2340 KB |
Output is correct |
98 |
Correct |
117 ms |
1864 KB |
Output is correct |
99 |
Correct |
124 ms |
1804 KB |
Output is correct |
100 |
Correct |
139 ms |
1864 KB |
Output is correct |
101 |
Correct |
126 ms |
1660 KB |
Output is correct |
102 |
Correct |
125 ms |
1988 KB |
Output is correct |
103 |
Correct |
122 ms |
1616 KB |
Output is correct |
104 |
Correct |
118 ms |
1796 KB |
Output is correct |
105 |
Correct |
114 ms |
1644 KB |
Output is correct |