#include <bits/stdc++.h>
using namespace std;
double dp[509];
pair<double, double> t[509];
double w = 1000000000000000000;
int n, k;
bool cmp(pair<double, double> a, pair<double, double> b){
return a.second < b.second;
}
double wynik(int x){
for(int i = 0; i <= n; i++){
dp[i] = 1000000000000000000;
}
//vector<double>dp(k - x + 1, 1e9);
dp[0] = 0;
for(int i = 0; i < n; i++) {
for(int j = min(i + 1, k - x); j >= 0; j--) {
double popdp = dp[j];
if(j > 0) {
dp[j] = dp[j - 1] + t[i].first / (double)(x + 1);
}
else {
dp[j] = 1e9;
}
if(0 < (i + 1) - j && (i + 1) - j <= x) {
dp[j] = min(dp[j], popdp + t[i].second / (double)((i + 1) - j));
}
else {
dp[j] = min(dp[j], popdp);
}
}
}
return dp[k - x];
}
int main(){
ios_base::sync_with_stdio(0); cout.tie(0); cin.tie(0);
cin>>n>>k;
for(int i = 0; i < n; i++){
cin>>t[i].first>>t[i].second;
if(t[i].second == -1) t[i].second = 1000000000000000120;
}
sort(t, t + n, cmp);
for(int i = 0; i <= k; i++){
w = min(w, wynik(i));
}
cout<<fixed<<setprecision(9)<<w<<endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
544 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
2 ms |
348 KB |
Output is correct |
6 |
Correct |
7 ms |
348 KB |
Output is correct |
7 |
Correct |
27 ms |
348 KB |
Output is correct |
8 |
Correct |
55 ms |
348 KB |
Output is correct |
9 |
Correct |
103 ms |
344 KB |
Output is correct |
10 |
Correct |
50 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 |
544 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
2 ms |
348 KB |
Output is correct |
6 |
Correct |
7 ms |
348 KB |
Output is correct |
7 |
Correct |
27 ms |
348 KB |
Output is correct |
8 |
Correct |
55 ms |
348 KB |
Output is correct |
9 |
Correct |
103 ms |
344 KB |
Output is correct |
10 |
Correct |
50 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
12 ms |
348 KB |
Output is correct |
13 |
Correct |
10 ms |
348 KB |
Output is correct |
14 |
Correct |
10 ms |
348 KB |
Output is correct |
15 |
Correct |
49 ms |
344 KB |
Output is correct |
16 |
Correct |
49 ms |
348 KB |
Output is correct |
17 |
Correct |
49 ms |
348 KB |
Output is correct |
18 |
Correct |
97 ms |
348 KB |
Output is correct |
19 |
Correct |
97 ms |
344 KB |
Output is correct |
20 |
Correct |
105 ms |
348 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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 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 |
1 ms |
356 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 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 |
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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 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 |
1 ms |
356 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 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 |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
344 KB |
Output is correct |
20 |
Correct |
1 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 |
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 |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
344 KB |
Output is correct |
33 |
Correct |
1 ms |
344 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 |
1 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 |
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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 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 |
1 ms |
356 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 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 |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
344 KB |
Output is correct |
20 |
Correct |
1 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 |
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 |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
344 KB |
Output is correct |
33 |
Correct |
1 ms |
344 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 |
1 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 |
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 |
1 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 |
348 KB |
Output is correct |
51 |
Correct |
2 ms |
348 KB |
Output is correct |
52 |
Correct |
1 ms |
348 KB |
Output is correct |
53 |
Correct |
1 ms |
348 KB |
Output is correct |
54 |
Correct |
1 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
60 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
97 ms |
348 KB |
Output is correct |
2 |
Correct |
98 ms |
448 KB |
Output is correct |
3 |
Correct |
107 ms |
440 KB |
Output is correct |
4 |
Correct |
97 ms |
348 KB |
Output is correct |
5 |
Correct |
97 ms |
344 KB |
Output is correct |
6 |
Correct |
97 ms |
348 KB |
Output is correct |
7 |
Correct |
105 ms |
444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
544 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
2 ms |
348 KB |
Output is correct |
6 |
Correct |
7 ms |
348 KB |
Output is correct |
7 |
Correct |
27 ms |
348 KB |
Output is correct |
8 |
Correct |
55 ms |
348 KB |
Output is correct |
9 |
Correct |
103 ms |
344 KB |
Output is correct |
10 |
Correct |
50 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
12 ms |
348 KB |
Output is correct |
13 |
Correct |
10 ms |
348 KB |
Output is correct |
14 |
Correct |
10 ms |
348 KB |
Output is correct |
15 |
Correct |
49 ms |
344 KB |
Output is correct |
16 |
Correct |
49 ms |
348 KB |
Output is correct |
17 |
Correct |
49 ms |
348 KB |
Output is correct |
18 |
Correct |
97 ms |
348 KB |
Output is correct |
19 |
Correct |
97 ms |
344 KB |
Output is correct |
20 |
Correct |
105 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 |
348 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 |
1 ms |
356 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 |
344 KB |
Output is correct |
40 |
Correct |
1 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 |
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 |
348 KB |
Output is correct |
51 |
Correct |
0 ms |
348 KB |
Output is correct |
52 |
Correct |
1 ms |
344 KB |
Output is correct |
53 |
Correct |
1 ms |
344 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 |
1 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 |
348 KB |
Output is correct |
63 |
Correct |
1 ms |
348 KB |
Output is correct |
64 |
Correct |
0 ms |
348 KB |
Output is correct |
65 |
Correct |
1 ms |
348 KB |
Output is correct |
66 |
Correct |
1 ms |
348 KB |
Output is correct |
67 |
Correct |
1 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 |
348 KB |
Output is correct |
71 |
Correct |
2 ms |
348 KB |
Output is correct |
72 |
Correct |
1 ms |
348 KB |
Output is correct |
73 |
Correct |
1 ms |
348 KB |
Output is correct |
74 |
Correct |
1 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
80 |
Correct |
1 ms |
348 KB |
Output is correct |
81 |
Correct |
97 ms |
348 KB |
Output is correct |
82 |
Correct |
98 ms |
448 KB |
Output is correct |
83 |
Correct |
107 ms |
440 KB |
Output is correct |
84 |
Correct |
97 ms |
348 KB |
Output is correct |
85 |
Correct |
97 ms |
344 KB |
Output is correct |
86 |
Correct |
97 ms |
348 KB |
Output is correct |
87 |
Correct |
105 ms |
444 KB |
Output is correct |
88 |
Correct |
2 ms |
348 KB |
Output is correct |
89 |
Correct |
2 ms |
348 KB |
Output is correct |
90 |
Correct |
7 ms |
348 KB |
Output is correct |
91 |
Correct |
7 ms |
348 KB |
Output is correct |
92 |
Correct |
26 ms |
468 KB |
Output is correct |
93 |
Correct |
25 ms |
468 KB |
Output is correct |
94 |
Correct |
56 ms |
348 KB |
Output is correct |
95 |
Correct |
58 ms |
348 KB |
Output is correct |
96 |
Correct |
81 ms |
596 KB |
Output is correct |
97 |
Correct |
79 ms |
348 KB |
Output is correct |
98 |
Correct |
49 ms |
348 KB |
Output is correct |
99 |
Correct |
49 ms |
348 KB |
Output is correct |
100 |
Correct |
50 ms |
348 KB |
Output is correct |
101 |
Correct |
49 ms |
344 KB |
Output is correct |
102 |
Correct |
49 ms |
344 KB |
Output is correct |
103 |
Correct |
49 ms |
348 KB |
Output is correct |
104 |
Correct |
48 ms |
348 KB |
Output is correct |
105 |
Correct |
49 ms |
344 KB |
Output is correct |