#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<double, double> pll;
#define fastio ios::sync_with_stdio(false), cin.tie(0)
#pragma GCC optimize("Ofast")
#define pb push_back
#define eb emplace_back
#define f first
#define s second
#define lowbit(x) x&-x
const int maxn = 2e5 + 5;
const double INF = 1e18;
//enumerate number of b from 0 ... k - 1
//it is optimal to get collaboraters first then give speeches to k - #b people
//for a set of collaboraters, it is optimal to sort them by increasing bs
double dp[505][505];
int main(void){
fastio;
int n, k;
cin>>n>>k;
vector<pll> a(n);
for(int i = 0; i < n; i++){
cin>>a[i].f>>a[i].s;
if(a[i].s == -1) a[i].s = INF;
}
sort(a.begin(), a.end(), [&](pll a, pll b){ return a.s < b.s || (a.s == b.s && a.f < b.f);});
double best = INF;
for(int goal = 0; goal < k; goal++){ // enumerate number of collaboraters(can also tenary search)
for(int i = 0; i <= n; i++) for(int j = 0; j <= goal; j++) dp[i][j] = INF;
dp[0][0] = 0;
for(int i = 0; i < n; i++){
for(int j = 0; j < goal; j++){
dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + a[i].f / (goal + 1));
dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + a[i].s / (j + 1));
}
}
for(int i = 0; i <= n; i++){
//choose k - i elements for second set
vector<double> cand;
for(int j = i; j < n; j++) cand.pb(a[j].f);
sort(cand.begin(), cand.end());
double cur = dp[i][goal];
for(int j = 0; j < k - i; j++) cur += cand[j] / (goal + 1);
best = min(best, cur);
}
}
cout<<fixed<<setprecision(5)<<best<<"\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
468 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
72 ms |
2428 KB |
Output is correct |
6 |
Correct |
189 ms |
2396 KB |
Output is correct |
7 |
Correct |
424 ms |
2396 KB |
Output is correct |
8 |
Correct |
689 ms |
2428 KB |
Output is correct |
9 |
Correct |
1008 ms |
2684 KB |
Output is correct |
10 |
Correct |
537 ms |
2432 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
468 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
72 ms |
2428 KB |
Output is correct |
6 |
Correct |
189 ms |
2396 KB |
Output is correct |
7 |
Correct |
424 ms |
2396 KB |
Output is correct |
8 |
Correct |
689 ms |
2428 KB |
Output is correct |
9 |
Correct |
1008 ms |
2684 KB |
Output is correct |
10 |
Correct |
537 ms |
2432 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
234 ms |
2424 KB |
Output is correct |
13 |
Correct |
394 ms |
2428 KB |
Output is correct |
14 |
Correct |
318 ms |
2428 KB |
Output is correct |
15 |
Correct |
627 ms |
2640 KB |
Output is correct |
16 |
Correct |
1004 ms |
2428 KB |
Output is correct |
17 |
Correct |
986 ms |
2432 KB |
Output is correct |
18 |
Correct |
990 ms |
2436 KB |
Output is correct |
19 |
Correct |
1558 ms |
2688 KB |
Output is correct |
20 |
Correct |
1278 ms |
2432 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 |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 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 |
544 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
344 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 |
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 |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 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 |
544 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
344 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 |
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 |
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 |
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 |
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 |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
344 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 |
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 |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 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 |
544 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
344 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 |
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 |
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 |
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 |
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 |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
344 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 |
3 ms |
860 KB |
Output is correct |
42 |
Correct |
2 ms |
604 KB |
Output is correct |
43 |
Correct |
4 ms |
604 KB |
Output is correct |
44 |
Correct |
5 ms |
860 KB |
Output is correct |
45 |
Correct |
7 ms |
604 KB |
Output is correct |
46 |
Correct |
8 ms |
604 KB |
Output is correct |
47 |
Correct |
10 ms |
860 KB |
Output is correct |
48 |
Correct |
9 ms |
860 KB |
Output is correct |
49 |
Correct |
13 ms |
860 KB |
Output is correct |
50 |
Correct |
12 ms |
856 KB |
Output is correct |
51 |
Correct |
16 ms |
860 KB |
Output is correct |
52 |
Correct |
15 ms |
860 KB |
Output is correct |
53 |
Correct |
10 ms |
860 KB |
Output is correct |
54 |
Correct |
11 ms |
860 KB |
Output is correct |
55 |
Correct |
10 ms |
604 KB |
Output is correct |
56 |
Correct |
8 ms |
860 KB |
Output is correct |
57 |
Correct |
8 ms |
864 KB |
Output is correct |
58 |
Correct |
9 ms |
604 KB |
Output is correct |
59 |
Correct |
6 ms |
860 KB |
Output is correct |
60 |
Correct |
6 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
2558 ms |
2424 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
468 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
72 ms |
2428 KB |
Output is correct |
6 |
Correct |
189 ms |
2396 KB |
Output is correct |
7 |
Correct |
424 ms |
2396 KB |
Output is correct |
8 |
Correct |
689 ms |
2428 KB |
Output is correct |
9 |
Correct |
1008 ms |
2684 KB |
Output is correct |
10 |
Correct |
537 ms |
2432 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
234 ms |
2424 KB |
Output is correct |
13 |
Correct |
394 ms |
2428 KB |
Output is correct |
14 |
Correct |
318 ms |
2428 KB |
Output is correct |
15 |
Correct |
627 ms |
2640 KB |
Output is correct |
16 |
Correct |
1004 ms |
2428 KB |
Output is correct |
17 |
Correct |
986 ms |
2432 KB |
Output is correct |
18 |
Correct |
990 ms |
2436 KB |
Output is correct |
19 |
Correct |
1558 ms |
2688 KB |
Output is correct |
20 |
Correct |
1278 ms |
2432 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 |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
344 KB |
Output is correct |
28 |
Correct |
0 ms |
344 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
544 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
344 KB |
Output is correct |
34 |
Correct |
0 ms |
344 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 |
348 KB |
Output is correct |
43 |
Correct |
0 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 |
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 |
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 |
1 ms |
348 KB |
Output is correct |
56 |
Correct |
0 ms |
344 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 |
3 ms |
860 KB |
Output is correct |
62 |
Correct |
2 ms |
604 KB |
Output is correct |
63 |
Correct |
4 ms |
604 KB |
Output is correct |
64 |
Correct |
5 ms |
860 KB |
Output is correct |
65 |
Correct |
7 ms |
604 KB |
Output is correct |
66 |
Correct |
8 ms |
604 KB |
Output is correct |
67 |
Correct |
10 ms |
860 KB |
Output is correct |
68 |
Correct |
9 ms |
860 KB |
Output is correct |
69 |
Correct |
13 ms |
860 KB |
Output is correct |
70 |
Correct |
12 ms |
856 KB |
Output is correct |
71 |
Correct |
16 ms |
860 KB |
Output is correct |
72 |
Correct |
15 ms |
860 KB |
Output is correct |
73 |
Correct |
10 ms |
860 KB |
Output is correct |
74 |
Correct |
11 ms |
860 KB |
Output is correct |
75 |
Correct |
10 ms |
604 KB |
Output is correct |
76 |
Correct |
8 ms |
860 KB |
Output is correct |
77 |
Correct |
8 ms |
864 KB |
Output is correct |
78 |
Correct |
9 ms |
604 KB |
Output is correct |
79 |
Correct |
6 ms |
860 KB |
Output is correct |
80 |
Correct |
6 ms |
604 KB |
Output is correct |
81 |
Execution timed out |
2558 ms |
2424 KB |
Time limit exceeded |
82 |
Halted |
0 ms |
0 KB |
- |