#include <bits/stdc++.h>
using namespace std;
typedef long double ld;
int N, K;
void solve(){
vector<pair<ld, ld>> v(N);
bool special = true;
for(int i = 0; i < N; i++){
cin >> v[i].second >> v[i].first;
if(v[i].first == -1) v[i].first = 1e9;
else if(v[i].first != v[i].second) special = false;
}
sort(v.begin(), v.end());
ld ans = 7e18;
for(ld collaborators = 0; collaborators < K; collaborators++){
vector<ld> dp(collaborators + 1, 1e18);
dp[0] = 0;
for(int i = 0; i < N; i++){
for(ld j = collaborators; j >= 0; j--){
if(j != collaborators) dp[j+1] = min(dp[j+1], dp[j] + v[i].first / (j+1.0));
dp[j] += v[i].second / (collaborators+1.0);
}
}
ans = min(ans, dp[collaborators]);
}
cout << fixed << setprecision(8) << ans << "\n";
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> N >> K;
if(K == N){
solve();
return 0;
}
vector<pair<ld, ld>> v(N);
bool special = true;
for(int i = 0; i < N; i++){
cin >> v[i].second >> v[i].first;
if(v[i].first == -1) v[i].first = 1e9;
else if(v[i].first != v[i].second) special = false;
}
sort(v.begin(), v.end());
ld ans = 7e18;
if(special){
for(int collaborators = 0; collaborators < K; collaborators++){
ld cost = 0;
ld hv = 1;
for(int i = 0; i < collaborators; i++){
cost += v[i].first / hv;
hv++;
}
vector<ld> a;
for(int i = collaborators; i < N; i++){
a.push_back(v[i].second);
}
sort(a.begin(), a.end());
for(int i = 0; i < K - collaborators; i++){
cost += a[i] / hv;
}
ans = min(ans, cost);
}
}else{
for(ld collaborators = 0; collaborators < K; 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));
}
}
}
ans = min(ans, dp[K][collaborators]);
}
}
cout << fixed << setprecision(8) << ans << "\n";
}
Compilation message
Main.cpp: In function 'void solve()':
Main.cpp:11:7: warning: variable 'special' set but not used [-Wunused-but-set-variable]
11 | bool special = true;
| ^~~~~~~
# |
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 |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
2 ms |
348 KB |
Output is correct |
7 |
Correct |
3 ms |
348 KB |
Output is correct |
8 |
Correct |
4 ms |
348 KB |
Output is correct |
9 |
Correct |
957 ms |
592 KB |
Output is correct |
10 |
Correct |
4 ms |
344 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 |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
2 ms |
348 KB |
Output is correct |
7 |
Correct |
3 ms |
348 KB |
Output is correct |
8 |
Correct |
4 ms |
348 KB |
Output is correct |
9 |
Correct |
957 ms |
592 KB |
Output is correct |
10 |
Correct |
4 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
2 ms |
348 KB |
Output is correct |
13 |
Correct |
4 ms |
348 KB |
Output is correct |
14 |
Correct |
4 ms |
344 KB |
Output is correct |
15 |
Correct |
4 ms |
348 KB |
Output is correct |
16 |
Correct |
6 ms |
600 KB |
Output is correct |
17 |
Correct |
6 ms |
348 KB |
Output is correct |
18 |
Correct |
918 ms |
492 KB |
Output is correct |
19 |
Correct |
915 ms |
500 KB |
Output is correct |
20 |
Correct |
946 ms |
500 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 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 |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
344 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 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 |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
344 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
476 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 |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 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 |
344 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 |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
2 ms |
512 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 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 |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
344 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
476 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 |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 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 |
344 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 |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
2 ms |
512 KB |
Output is correct |
41 |
Correct |
3 ms |
348 KB |
Output is correct |
42 |
Correct |
3 ms |
348 KB |
Output is correct |
43 |
Correct |
23 ms |
348 KB |
Output is correct |
44 |
Correct |
23 ms |
348 KB |
Output is correct |
45 |
Correct |
105 ms |
596 KB |
Output is correct |
46 |
Correct |
105 ms |
592 KB |
Output is correct |
47 |
Correct |
232 ms |
528 KB |
Output is correct |
48 |
Correct |
234 ms |
596 KB |
Output is correct |
49 |
Correct |
432 ms |
768 KB |
Output is correct |
50 |
Correct |
437 ms |
1040 KB |
Output is correct |
51 |
Correct |
8 ms |
344 KB |
Output is correct |
52 |
Correct |
8 ms |
348 KB |
Output is correct |
53 |
Correct |
232 ms |
728 KB |
Output is correct |
54 |
Correct |
232 ms |
1104 KB |
Output is correct |
55 |
Correct |
231 ms |
596 KB |
Output is correct |
56 |
Correct |
238 ms |
596 KB |
Output is correct |
57 |
Correct |
249 ms |
908 KB |
Output is correct |
58 |
Correct |
239 ms |
596 KB |
Output is correct |
59 |
Correct |
230 ms |
520 KB |
Output is correct |
60 |
Correct |
232 ms |
596 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
959 ms |
348 KB |
Output is correct |
2 |
Correct |
917 ms |
492 KB |
Output is correct |
3 |
Correct |
943 ms |
500 KB |
Output is correct |
4 |
Correct |
912 ms |
596 KB |
Output is correct |
5 |
Correct |
918 ms |
596 KB |
Output is correct |
6 |
Correct |
919 ms |
344 KB |
Output is correct |
7 |
Correct |
942 ms |
496 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 |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
2 ms |
348 KB |
Output is correct |
7 |
Correct |
3 ms |
348 KB |
Output is correct |
8 |
Correct |
4 ms |
348 KB |
Output is correct |
9 |
Correct |
957 ms |
592 KB |
Output is correct |
10 |
Correct |
4 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
2 ms |
348 KB |
Output is correct |
13 |
Correct |
4 ms |
348 KB |
Output is correct |
14 |
Correct |
4 ms |
344 KB |
Output is correct |
15 |
Correct |
4 ms |
348 KB |
Output is correct |
16 |
Correct |
6 ms |
600 KB |
Output is correct |
17 |
Correct |
6 ms |
348 KB |
Output is correct |
18 |
Correct |
918 ms |
492 KB |
Output is correct |
19 |
Correct |
915 ms |
500 KB |
Output is correct |
20 |
Correct |
946 ms |
500 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
344 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 |
1 ms |
344 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 |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
344 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
476 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
1 ms |
348 KB |
Output is correct |
42 |
Correct |
1 ms |
348 KB |
Output is correct |
43 |
Correct |
1 ms |
348 KB |
Output is correct |
44 |
Correct |
1 ms |
348 KB |
Output is correct |
45 |
Correct |
1 ms |
348 KB |
Output is correct |
46 |
Correct |
0 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 |
1 ms |
348 KB |
Output is correct |
52 |
Correct |
1 ms |
344 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 |
2 ms |
512 KB |
Output is correct |
61 |
Correct |
3 ms |
348 KB |
Output is correct |
62 |
Correct |
3 ms |
348 KB |
Output is correct |
63 |
Correct |
23 ms |
348 KB |
Output is correct |
64 |
Correct |
23 ms |
348 KB |
Output is correct |
65 |
Correct |
105 ms |
596 KB |
Output is correct |
66 |
Correct |
105 ms |
592 KB |
Output is correct |
67 |
Correct |
232 ms |
528 KB |
Output is correct |
68 |
Correct |
234 ms |
596 KB |
Output is correct |
69 |
Correct |
432 ms |
768 KB |
Output is correct |
70 |
Correct |
437 ms |
1040 KB |
Output is correct |
71 |
Correct |
8 ms |
344 KB |
Output is correct |
72 |
Correct |
8 ms |
348 KB |
Output is correct |
73 |
Correct |
232 ms |
728 KB |
Output is correct |
74 |
Correct |
232 ms |
1104 KB |
Output is correct |
75 |
Correct |
231 ms |
596 KB |
Output is correct |
76 |
Correct |
238 ms |
596 KB |
Output is correct |
77 |
Correct |
249 ms |
908 KB |
Output is correct |
78 |
Correct |
239 ms |
596 KB |
Output is correct |
79 |
Correct |
230 ms |
520 KB |
Output is correct |
80 |
Correct |
232 ms |
596 KB |
Output is correct |
81 |
Correct |
959 ms |
348 KB |
Output is correct |
82 |
Correct |
917 ms |
492 KB |
Output is correct |
83 |
Correct |
943 ms |
500 KB |
Output is correct |
84 |
Correct |
912 ms |
596 KB |
Output is correct |
85 |
Correct |
918 ms |
596 KB |
Output is correct |
86 |
Correct |
919 ms |
344 KB |
Output is correct |
87 |
Correct |
942 ms |
496 KB |
Output is correct |
88 |
Correct |
592 ms |
492 KB |
Output is correct |
89 |
Correct |
535 ms |
652 KB |
Output is correct |
90 |
Execution timed out |
2572 ms |
848 KB |
Time limit exceeded |
91 |
Halted |
0 ms |
0 KB |
- |