#include<iostream>
#include<vector>
#include<algorithm>
#include<math.h>
#include<set>
#include<iomanip>
using namespace std;
#define ll long long
#define pii pair<ll,ll>
#define mp make_pair
#define endl "\n"
#define out(x) cout << #x << " = " << x << endl
#define outp(x) cout << #x << ".first = " << x.first << " " << #x << ".second = " << x.second << endl
#pragma GCC optimize("Ofast")
#define lll __int128
// enumerate the num of collaborators, from 0 to k-1
// it is optimal to collect all collaborators first, then give speeches
// if we know which collaborators to choose, it's better to choose the ones with smaller b first
void chmin(double &a, double x){
if (x<a) a=x;
}
ll n,k;
pii arr[505];
bool subtask1 = true, subtask2 = true;
// 看到第i個人,拿到了j票,目前people = p,最少時間
//double dp[505][505][505];
// 看到第i個人,選了j個B類
double dp[505][505];
bool comp(pii a, pii b){
if (a.second != b.second) return a.second < b.second;
return a.first < b.first;
}
signed main(){
ios::sync_with_stdio(false); cin.tie(0);
cin>>n>>k;
int good=n;
for (int i=1;i<=n;i++) {
cin>>arr[i].first>>arr[i].second;
if (arr[i].second != -1) subtask1 = false;
if (arr[i].second == -1) arr[i].second = 1e9, good--;
}
double best = 1e9;
sort(arr+1,arr+1+n,comp);
for (int goal=0;goal<=k;goal++){
if (goal>good) continue;
for (int i=0;i<=n+3;i++) for (int j=0;j<=n+3;j++) dp[i][j] = 1e9;
dp[1][0] = 1.0*arr[1].first/(goal+1); dp[1][1] = arr[1].second; dp[0][0] = 0;
for (int i=1;i<=k;i++) for (int j=0;j<=goal;j++){
chmin(dp[i+1][j], dp[i][j] + 1.0*arr[i+1].first/(1+goal));
if (arr[i].second != 1e9) chmin(dp[i+1][j+1], dp[i][j] + 1.0*arr[i+1].second/(1+j));
}
double now = 1e9;
for (int pos=goal;pos<=k;pos++){ // position of last collaborator
vector<int> tmp;
for (int i=pos+1;i<=n;i++){ // 還要選k-pos個A類
tmp.push_back(arr[i].first);
//if (goal==0) cout<<pos<<" : "<<arr[i].first<<endl;
}
sort(tmp.begin(),tmp.end());
double cost = 0;
for (int i=0;i<k-pos;i++) cost += 1.0*tmp[i];
cost /= (goal+1);
now = min(now, cost + dp[pos][goal]);
}
best = min(now, best);
}
cout<<fixed<<setprecision(9)<<best<<endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
2 ms |
2252 KB |
Output is correct |
6 |
Correct |
2 ms |
2252 KB |
Output is correct |
7 |
Correct |
2 ms |
2252 KB |
Output is correct |
8 |
Correct |
3 ms |
2252 KB |
Output is correct |
9 |
Correct |
4 ms |
2252 KB |
Output is correct |
10 |
Correct |
2 ms |
2252 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
2 ms |
2252 KB |
Output is correct |
6 |
Correct |
2 ms |
2252 KB |
Output is correct |
7 |
Correct |
2 ms |
2252 KB |
Output is correct |
8 |
Correct |
3 ms |
2252 KB |
Output is correct |
9 |
Correct |
4 ms |
2252 KB |
Output is correct |
10 |
Correct |
2 ms |
2252 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
85 ms |
2300 KB |
Output is correct |
13 |
Correct |
127 ms |
2252 KB |
Output is correct |
14 |
Correct |
86 ms |
2252 KB |
Output is correct |
15 |
Correct |
258 ms |
2304 KB |
Output is correct |
16 |
Correct |
366 ms |
2300 KB |
Output is correct |
17 |
Correct |
153 ms |
2252 KB |
Output is correct |
18 |
Correct |
441 ms |
2300 KB |
Output is correct |
19 |
Correct |
453 ms |
2372 KB |
Output is correct |
20 |
Correct |
154 ms |
2300 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
41 |
Correct |
1 ms |
716 KB |
Output is correct |
42 |
Correct |
1 ms |
716 KB |
Output is correct |
43 |
Correct |
2 ms |
716 KB |
Output is correct |
44 |
Correct |
2 ms |
716 KB |
Output is correct |
45 |
Correct |
3 ms |
716 KB |
Output is correct |
46 |
Correct |
3 ms |
716 KB |
Output is correct |
47 |
Correct |
4 ms |
716 KB |
Output is correct |
48 |
Correct |
4 ms |
716 KB |
Output is correct |
49 |
Correct |
7 ms |
716 KB |
Output is correct |
50 |
Correct |
5 ms |
716 KB |
Output is correct |
51 |
Correct |
6 ms |
724 KB |
Output is correct |
52 |
Correct |
5 ms |
716 KB |
Output is correct |
53 |
Correct |
4 ms |
728 KB |
Output is correct |
54 |
Correct |
4 ms |
716 KB |
Output is correct |
55 |
Correct |
4 ms |
716 KB |
Output is correct |
56 |
Correct |
4 ms |
716 KB |
Output is correct |
57 |
Correct |
4 ms |
716 KB |
Output is correct |
58 |
Correct |
4 ms |
720 KB |
Output is correct |
59 |
Correct |
5 ms |
716 KB |
Output is correct |
60 |
Correct |
4 ms |
716 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
939 ms |
2308 KB |
Output is correct |
2 |
Correct |
932 ms |
2296 KB |
Output is correct |
3 |
Correct |
938 ms |
2304 KB |
Output is correct |
4 |
Correct |
943 ms |
2304 KB |
Output is correct |
5 |
Correct |
926 ms |
2296 KB |
Output is correct |
6 |
Correct |
925 ms |
2316 KB |
Output is correct |
7 |
Correct |
837 ms |
2304 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
2 ms |
2252 KB |
Output is correct |
6 |
Correct |
2 ms |
2252 KB |
Output is correct |
7 |
Correct |
2 ms |
2252 KB |
Output is correct |
8 |
Correct |
3 ms |
2252 KB |
Output is correct |
9 |
Correct |
4 ms |
2252 KB |
Output is correct |
10 |
Correct |
2 ms |
2252 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
85 ms |
2300 KB |
Output is correct |
13 |
Correct |
127 ms |
2252 KB |
Output is correct |
14 |
Correct |
86 ms |
2252 KB |
Output is correct |
15 |
Correct |
258 ms |
2304 KB |
Output is correct |
16 |
Correct |
366 ms |
2300 KB |
Output is correct |
17 |
Correct |
153 ms |
2252 KB |
Output is correct |
18 |
Correct |
441 ms |
2300 KB |
Output is correct |
19 |
Correct |
453 ms |
2372 KB |
Output is correct |
20 |
Correct |
154 ms |
2300 KB |
Output is correct |
21 |
Correct |
0 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
0 ms |
332 KB |
Output is correct |
25 |
Correct |
0 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
0 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
41 |
Correct |
1 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
332 KB |
Output is correct |
43 |
Correct |
1 ms |
332 KB |
Output is correct |
44 |
Correct |
1 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
332 KB |
Output is correct |
46 |
Correct |
1 ms |
332 KB |
Output is correct |
47 |
Correct |
1 ms |
332 KB |
Output is correct |
48 |
Correct |
1 ms |
332 KB |
Output is correct |
49 |
Correct |
1 ms |
332 KB |
Output is correct |
50 |
Correct |
1 ms |
332 KB |
Output is correct |
51 |
Correct |
1 ms |
332 KB |
Output is correct |
52 |
Correct |
1 ms |
332 KB |
Output is correct |
53 |
Correct |
1 ms |
332 KB |
Output is correct |
54 |
Correct |
1 ms |
332 KB |
Output is correct |
55 |
Correct |
1 ms |
332 KB |
Output is correct |
56 |
Correct |
1 ms |
332 KB |
Output is correct |
57 |
Correct |
1 ms |
332 KB |
Output is correct |
58 |
Correct |
1 ms |
332 KB |
Output is correct |
59 |
Correct |
1 ms |
332 KB |
Output is correct |
60 |
Correct |
1 ms |
332 KB |
Output is correct |
61 |
Correct |
1 ms |
716 KB |
Output is correct |
62 |
Correct |
1 ms |
716 KB |
Output is correct |
63 |
Correct |
2 ms |
716 KB |
Output is correct |
64 |
Correct |
2 ms |
716 KB |
Output is correct |
65 |
Correct |
3 ms |
716 KB |
Output is correct |
66 |
Correct |
3 ms |
716 KB |
Output is correct |
67 |
Correct |
4 ms |
716 KB |
Output is correct |
68 |
Correct |
4 ms |
716 KB |
Output is correct |
69 |
Correct |
7 ms |
716 KB |
Output is correct |
70 |
Correct |
5 ms |
716 KB |
Output is correct |
71 |
Correct |
6 ms |
724 KB |
Output is correct |
72 |
Correct |
5 ms |
716 KB |
Output is correct |
73 |
Correct |
4 ms |
728 KB |
Output is correct |
74 |
Correct |
4 ms |
716 KB |
Output is correct |
75 |
Correct |
4 ms |
716 KB |
Output is correct |
76 |
Correct |
4 ms |
716 KB |
Output is correct |
77 |
Correct |
4 ms |
716 KB |
Output is correct |
78 |
Correct |
4 ms |
720 KB |
Output is correct |
79 |
Correct |
5 ms |
716 KB |
Output is correct |
80 |
Correct |
4 ms |
716 KB |
Output is correct |
81 |
Correct |
939 ms |
2308 KB |
Output is correct |
82 |
Correct |
932 ms |
2296 KB |
Output is correct |
83 |
Correct |
938 ms |
2304 KB |
Output is correct |
84 |
Correct |
943 ms |
2304 KB |
Output is correct |
85 |
Correct |
926 ms |
2296 KB |
Output is correct |
86 |
Correct |
925 ms |
2316 KB |
Output is correct |
87 |
Correct |
837 ms |
2304 KB |
Output is correct |
88 |
Correct |
27 ms |
2252 KB |
Output is correct |
89 |
Correct |
27 ms |
2304 KB |
Output is correct |
90 |
Correct |
137 ms |
2308 KB |
Output is correct |
91 |
Correct |
138 ms |
2252 KB |
Output is correct |
92 |
Correct |
465 ms |
2252 KB |
Output is correct |
93 |
Correct |
453 ms |
2312 KB |
Output is correct |
94 |
Correct |
729 ms |
2252 KB |
Output is correct |
95 |
Correct |
793 ms |
2300 KB |
Output is correct |
96 |
Correct |
1004 ms |
2296 KB |
Output is correct |
97 |
Correct |
964 ms |
2304 KB |
Output is correct |
98 |
Correct |
645 ms |
2304 KB |
Output is correct |
99 |
Correct |
724 ms |
2304 KB |
Output is correct |
100 |
Correct |
746 ms |
2300 KB |
Output is correct |
101 |
Correct |
711 ms |
2252 KB |
Output is correct |
102 |
Correct |
635 ms |
2300 KB |
Output is correct |
103 |
Correct |
540 ms |
2252 KB |
Output is correct |
104 |
Correct |
586 ms |
2300 KB |
Output is correct |
105 |
Correct |
222 ms |
2372 KB |
Output is correct |