#include <bits/stdc++.h>
using namespace std;
typedef long double ld;
int N, K;
vector<pair<ld, ld>> v;
ld solve(ld collaborators){
vector<vector<ld>> dp(K+1, vector<ld>(collaborators + 1, 1e18));
dp[0][0] = 0;
for(int i = 0; i < N; i++){
for(int elem = K - 1; elem >= 0; elem--){
for(ld j = collaborators; j >= 0; j--){
if(j != collaborators) dp[elem+1][j+1] = min(dp[elem+1][j+1], dp[elem][j] + v[i].first / (j+1.0));
dp[elem+1][j] = min(dp[elem+1][j], dp[elem][j] + v[i].second / (collaborators+1.0));
}
}
}
return dp[K][collaborators];
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> N >> K;
v.resize(N);
for(int i = 0; i < N; i++){
cin >> v[i].second >> v[i].first;
if(v[i].first == -1) v[i].first = 1e9;
}
sort(v.begin(), v.end());
ld ans = 7e18;
int lo = 0;
int hi = K - 1;
while(lo <= hi){
int mid = (lo + hi) / 2;
ld collab = mid;
ld ans1 = solve(collab);
ans = min(ans, ans1);
if(mid == hi){
hi = mid - 1;
}else{
ld ans2 = solve(collab + 1);
ans = min(ans, ans2);
if(ans2 < ans1){
lo = mid + 1;
}else hi = mid - 1;
}
}
cout << fixed << setprecision(8) << ans << "\n";
}
# |
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 |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
51 ms |
508 KB |
Output is correct |
6 |
Correct |
264 ms |
600 KB |
Output is correct |
7 |
Correct |
1064 ms |
968 KB |
Output is correct |
8 |
Correct |
2415 ms |
1596 KB |
Output is correct |
9 |
Execution timed out |
2561 ms |
2636 KB |
Time limit exceeded |
10 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
51 ms |
508 KB |
Output is correct |
6 |
Correct |
264 ms |
600 KB |
Output is correct |
7 |
Correct |
1064 ms |
968 KB |
Output is correct |
8 |
Correct |
2415 ms |
1596 KB |
Output is correct |
9 |
Execution timed out |
2561 ms |
2636 KB |
Time limit exceeded |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
600 KB |
Output is correct |
2 |
Correct |
0 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 |
448 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
452 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 |
1 ms |
600 KB |
Output is correct |
2 |
Correct |
0 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 |
448 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
452 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
476 KB |
Output is correct |
26 |
Correct |
2 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
456 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
344 KB |
Output is correct |
39 |
Correct |
1 ms |
344 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
600 KB |
Output is correct |
2 |
Correct |
0 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 |
448 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
452 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
476 KB |
Output is correct |
26 |
Correct |
2 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
456 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
344 KB |
Output is correct |
39 |
Correct |
1 ms |
344 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
1 ms |
348 KB |
Output is correct |
42 |
Correct |
2 ms |
348 KB |
Output is correct |
43 |
Correct |
5 ms |
420 KB |
Output is correct |
44 |
Correct |
10 ms |
348 KB |
Output is correct |
45 |
Correct |
31 ms |
344 KB |
Output is correct |
46 |
Correct |
17 ms |
344 KB |
Output is correct |
47 |
Correct |
28 ms |
348 KB |
Output is correct |
48 |
Correct |
70 ms |
536 KB |
Output is correct |
49 |
Correct |
106 ms |
348 KB |
Output is correct |
50 |
Correct |
56 ms |
536 KB |
Output is correct |
51 |
Correct |
135 ms |
540 KB |
Output is correct |
52 |
Correct |
150 ms |
592 KB |
Output is correct |
53 |
Correct |
30 ms |
348 KB |
Output is correct |
54 |
Correct |
50 ms |
508 KB |
Output is correct |
55 |
Correct |
54 ms |
536 KB |
Output is correct |
56 |
Correct |
32 ms |
344 KB |
Output is correct |
57 |
Correct |
50 ms |
528 KB |
Output is correct |
58 |
Correct |
60 ms |
556 KB |
Output is correct |
59 |
Correct |
60 ms |
560 KB |
Output is correct |
60 |
Correct |
53 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
2504 ms |
3404 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
51 ms |
508 KB |
Output is correct |
6 |
Correct |
264 ms |
600 KB |
Output is correct |
7 |
Correct |
1064 ms |
968 KB |
Output is correct |
8 |
Correct |
2415 ms |
1596 KB |
Output is correct |
9 |
Execution timed out |
2561 ms |
2636 KB |
Time limit exceeded |
10 |
Halted |
0 ms |
0 KB |
- |