#include<bits/stdc++.h>
typedef long double ld;
#define fastio cin.tie(0), cout.tie(0), ios::sync_with_stdio(0);
using namespace std;
#define pii pair<int, int>
#define F first
#define S second
int main(){
fastio
const int big = 5e5+1;
int n, k, T = 0;
cin >> n >> k;
vector<pii> ba(n);
for(int i=0; i<n; i++){
cin >> ba[i].S >> ba[i].F;
if(ba[i].F==-1){
ba[i].F = big;
T++;
}
}
sort(ba.begin(), ba.end());
//s[i] = min sum of k-i elements from [i, n)
T = min(k, n-T);
priority_queue<int, vector<int>, greater<int>> pq;
vector<int> s(T+1);
for(int i=T; i<n; i++) pq.push(ba[i].S);
s[T] = 0;
for(int i=0; i<k-T; i++){
s[T] += pq.top();
pq.pop();
}
for(int i=T-1; i>-1; i--){
pq.push(ba[i].S);
s[i] = s[i+1]+pq.top();
pq.pop();
}
//dp by #collaborator
ld ans = s[0];
for(int t=1; t<=T; t++){
vector<ld> dp(t+1, big);
dp[0] = 0;
for(int i=0; i<T; i++){
if(dp[t]<big) dp[t] += ((ld)ba[i].S)/(t+1);
for(int j=t-1; j>-1; j--){
if(dp[j]==big) continue;
dp[j+1] = min(dp[j+1], dp[j]+((ld)ba[i].F)/(j+1));
dp[j] += ((ld)ba[i].S)/(t+1);
}
if(dp[t]<ans) ans = min(ans, dp[t]+((ld)s[i+1])/(t+1));
}
}
cout << fixed << setprecision(6) << ans << '\n';
return 0;
}
# |
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 |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
500 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 |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
500 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
11 ms |
600 KB |
Output is correct |
13 |
Correct |
11 ms |
484 KB |
Output is correct |
14 |
Correct |
4 ms |
344 KB |
Output is correct |
15 |
Correct |
133 ms |
480 KB |
Output is correct |
16 |
Correct |
80 ms |
348 KB |
Output is correct |
17 |
Correct |
3 ms |
348 KB |
Output is correct |
18 |
Correct |
389 ms |
496 KB |
Output is correct |
19 |
Correct |
86 ms |
348 KB |
Output is correct |
20 |
Correct |
3 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 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 |
344 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 |
344 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 |
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 |
344 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 |
344 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 |
344 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 |
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 |
452 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
344 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
1 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 |
344 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
352 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
456 KB |
Output is correct |
34 |
Correct |
0 ms |
352 KB |
Output is correct |
35 |
Correct |
0 ms |
352 KB |
Output is correct |
36 |
Correct |
1 ms |
352 KB |
Output is correct |
37 |
Correct |
0 ms |
352 KB |
Output is correct |
38 |
Correct |
0 ms |
352 KB |
Output is correct |
39 |
Correct |
0 ms |
452 KB |
Output is correct |
40 |
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 |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
344 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 |
344 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 |
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 |
452 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
344 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
1 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 |
344 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
352 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
456 KB |
Output is correct |
34 |
Correct |
0 ms |
352 KB |
Output is correct |
35 |
Correct |
0 ms |
352 KB |
Output is correct |
36 |
Correct |
1 ms |
352 KB |
Output is correct |
37 |
Correct |
0 ms |
352 KB |
Output is correct |
38 |
Correct |
0 ms |
352 KB |
Output is correct |
39 |
Correct |
0 ms |
452 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
41 |
Correct |
0 ms |
456 KB |
Output is correct |
42 |
Correct |
1 ms |
344 KB |
Output is correct |
43 |
Correct |
1 ms |
348 KB |
Output is correct |
44 |
Correct |
0 ms |
344 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 |
2 ms |
344 KB |
Output is correct |
50 |
Correct |
2 ms |
344 KB |
Output is correct |
51 |
Correct |
4 ms |
348 KB |
Output is correct |
52 |
Correct |
2 ms |
456 KB |
Output is correct |
53 |
Correct |
2 ms |
348 KB |
Output is correct |
54 |
Correct |
2 ms |
348 KB |
Output is correct |
55 |
Correct |
2 ms |
484 KB |
Output is correct |
56 |
Correct |
1 ms |
348 KB |
Output is correct |
57 |
Correct |
1 ms |
348 KB |
Output is correct |
58 |
Correct |
2 ms |
348 KB |
Output is correct |
59 |
Correct |
1 ms |
600 KB |
Output is correct |
60 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
393 ms |
484 KB |
Output is correct |
2 |
Correct |
399 ms |
592 KB |
Output is correct |
3 |
Correct |
418 ms |
476 KB |
Output is correct |
4 |
Correct |
444 ms |
596 KB |
Output is correct |
5 |
Correct |
414 ms |
476 KB |
Output is correct |
6 |
Correct |
398 ms |
476 KB |
Output is correct |
7 |
Correct |
392 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 |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
500 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
11 ms |
600 KB |
Output is correct |
13 |
Correct |
11 ms |
484 KB |
Output is correct |
14 |
Correct |
4 ms |
344 KB |
Output is correct |
15 |
Correct |
133 ms |
480 KB |
Output is correct |
16 |
Correct |
80 ms |
348 KB |
Output is correct |
17 |
Correct |
3 ms |
348 KB |
Output is correct |
18 |
Correct |
389 ms |
496 KB |
Output is correct |
19 |
Correct |
86 ms |
348 KB |
Output is correct |
20 |
Correct |
3 ms |
344 KB |
Output is correct |
21 |
Correct |
0 ms |
344 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 |
344 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 |
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 |
452 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
344 KB |
Output is correct |
41 |
Correct |
0 ms |
344 KB |
Output is correct |
42 |
Correct |
1 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 |
344 KB |
Output is correct |
46 |
Correct |
0 ms |
348 KB |
Output is correct |
47 |
Correct |
1 ms |
348 KB |
Output is correct |
48 |
Correct |
0 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
352 KB |
Output is correct |
50 |
Correct |
0 ms |
348 KB |
Output is correct |
51 |
Correct |
1 ms |
348 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
456 KB |
Output is correct |
54 |
Correct |
0 ms |
352 KB |
Output is correct |
55 |
Correct |
0 ms |
352 KB |
Output is correct |
56 |
Correct |
1 ms |
352 KB |
Output is correct |
57 |
Correct |
0 ms |
352 KB |
Output is correct |
58 |
Correct |
0 ms |
352 KB |
Output is correct |
59 |
Correct |
0 ms |
452 KB |
Output is correct |
60 |
Correct |
0 ms |
348 KB |
Output is correct |
61 |
Correct |
0 ms |
456 KB |
Output is correct |
62 |
Correct |
1 ms |
344 KB |
Output is correct |
63 |
Correct |
1 ms |
348 KB |
Output is correct |
64 |
Correct |
0 ms |
344 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 |
2 ms |
344 KB |
Output is correct |
70 |
Correct |
2 ms |
344 KB |
Output is correct |
71 |
Correct |
4 ms |
348 KB |
Output is correct |
72 |
Correct |
2 ms |
456 KB |
Output is correct |
73 |
Correct |
2 ms |
348 KB |
Output is correct |
74 |
Correct |
2 ms |
348 KB |
Output is correct |
75 |
Correct |
2 ms |
484 KB |
Output is correct |
76 |
Correct |
1 ms |
348 KB |
Output is correct |
77 |
Correct |
1 ms |
348 KB |
Output is correct |
78 |
Correct |
2 ms |
348 KB |
Output is correct |
79 |
Correct |
1 ms |
600 KB |
Output is correct |
80 |
Correct |
1 ms |
348 KB |
Output is correct |
81 |
Correct |
393 ms |
484 KB |
Output is correct |
82 |
Correct |
399 ms |
592 KB |
Output is correct |
83 |
Correct |
418 ms |
476 KB |
Output is correct |
84 |
Correct |
444 ms |
596 KB |
Output is correct |
85 |
Correct |
414 ms |
476 KB |
Output is correct |
86 |
Correct |
398 ms |
476 KB |
Output is correct |
87 |
Correct |
392 ms |
348 KB |
Output is correct |
88 |
Correct |
2 ms |
348 KB |
Output is correct |
89 |
Correct |
1 ms |
348 KB |
Output is correct |
90 |
Correct |
11 ms |
348 KB |
Output is correct |
91 |
Correct |
9 ms |
536 KB |
Output is correct |
92 |
Correct |
51 ms |
504 KB |
Output is correct |
93 |
Correct |
51 ms |
468 KB |
Output is correct |
94 |
Correct |
181 ms |
344 KB |
Output is correct |
95 |
Correct |
166 ms |
492 KB |
Output is correct |
96 |
Correct |
321 ms |
484 KB |
Output is correct |
97 |
Correct |
283 ms |
476 KB |
Output is correct |
98 |
Correct |
145 ms |
476 KB |
Output is correct |
99 |
Correct |
133 ms |
344 KB |
Output is correct |
100 |
Correct |
132 ms |
480 KB |
Output is correct |
101 |
Correct |
133 ms |
472 KB |
Output is correct |
102 |
Correct |
139 ms |
596 KB |
Output is correct |
103 |
Correct |
132 ms |
484 KB |
Output is correct |
104 |
Correct |
134 ms |
480 KB |
Output is correct |
105 |
Correct |
132 ms |
348 KB |
Output is correct |