#include<bits/stdc++.h>
using namespace std;
//#define double long double
int n;int K;
int M;
pair<int,int>ar[200005];
double ans;
double dp[510][510];
int srtsf[510][510];
int srtps[510][510];
bool cmp(pair<int,int>i,pair<int,int>j){
if(i.second<j.second){return 1;}
if(i.second>j.second){return 0;}
if(i.first>j.first){return 1;}
return 0;
}
double solve(int m){
for(int i=0;i<=n;i++){
for(int j=0;j<=n;j++){
dp[i][j]=1000000;
}
}
dp[0][0]=0;
dp[1][0]=(double)ar[1].first/(double)(m+1);
dp[1][1]=ar[1].second;
for(int i=1;i<=K-1;i++){
for(int j=0;j<=i;j++){
//if(dp[i][j]>500000){continue;}
dp[i+1][j]=min(dp[i+1][j],dp[i][j]+(double)ar[i+1].first/(double)(m+1));
dp[i+1][j+1]=min(dp[i+1][j+1],dp[i][j]+(double)ar[i+1].second/(double)(j+1));
}
}
double ret=dp[K][m];
//cout<<fixed<<setprecision(6)<<ret<<" ";
for(int i=K-1;i>=m;i--){
ret=min(ret,dp[i][m]+(double)srtps[i+1][i+1+K-i-1]/(double)(m+1));
}
//cout<<fixed<<setprecision(6)<<ret<<endl;
return ret;
}
signed main(){
cin>>n>>K;
M=0;
for(int i=1;i<=n;i++){
cin>>ar[i].first>>ar[i].second;
if(ar[i].second==-1){
ar[i].second=200000;
}else{
M++;
}
}
sort(ar+1,ar+n+1,cmp);
/*
cout<<endl;
for(int i=1;i<=n;i++){
cout<<ar[i].first<<" "<<ar[i].second<<endl;
}
cout<<endl;
*/
for(int i=1;i<=n;i++){
for(int j=i;j<=n;j++){
srtsf[i][j]=ar[j].first;
//srtps[i][j]=srtsf[i][j]+srtps[i][j-1];
}
sort(srtsf[i]+i,srtsf[i]+n+1);
for(int j=i;j<=n;j++){
srtps[i][j]=srtsf[i][j]+srtps[i][j-1];
}
}
/*
for(int i=1;i<=n;i++){
for(int j=1;j<=n;j++){
cout<<srtsf[i][j]<<" ";
}cout<<endl;
}
*/
ans=5000000;
for(int i=0;i<=min(K,M);i++){
ans=min(ans,solve(i));
}
cout<<fixed<<setprecision(6)<<ans<<endl;
/*
double l=0;double r=500000;
for(int ttt=0;ttt<90;ttt++){
double mi=(l+r)/2;
if(ok(mi)){
l=mi;
}else{
r=mi;
}
}
cout<<fixed<<setprecision(6)<<l<<endl;
*/
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
4 ms |
4308 KB |
Output is correct |
6 |
Correct |
4 ms |
4308 KB |
Output is correct |
7 |
Correct |
4 ms |
4308 KB |
Output is correct |
8 |
Correct |
4 ms |
4308 KB |
Output is correct |
9 |
Correct |
4 ms |
4308 KB |
Output is correct |
10 |
Correct |
3 ms |
4308 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
4 ms |
4308 KB |
Output is correct |
6 |
Correct |
4 ms |
4308 KB |
Output is correct |
7 |
Correct |
4 ms |
4308 KB |
Output is correct |
8 |
Correct |
4 ms |
4308 KB |
Output is correct |
9 |
Correct |
4 ms |
4308 KB |
Output is correct |
10 |
Correct |
3 ms |
4308 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
20 ms |
4312 KB |
Output is correct |
13 |
Correct |
22 ms |
4268 KB |
Output is correct |
14 |
Correct |
15 ms |
4308 KB |
Output is correct |
15 |
Correct |
74 ms |
4308 KB |
Output is correct |
16 |
Correct |
65 ms |
4308 KB |
Output is correct |
17 |
Correct |
28 ms |
4308 KB |
Output is correct |
18 |
Correct |
163 ms |
4308 KB |
Output is correct |
19 |
Correct |
103 ms |
4308 KB |
Output is correct |
20 |
Correct |
36 ms |
4312 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
308 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
304 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
304 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
308 KB |
Output is correct |
14 |
Correct |
0 ms |
304 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
308 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
304 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
304 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
308 KB |
Output is correct |
14 |
Correct |
0 ms |
304 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
468 KB |
Output is correct |
19 |
Correct |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
436 KB |
Output is correct |
22 |
Correct |
1 ms |
436 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
436 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
1 ms |
468 KB |
Output is correct |
35 |
Correct |
1 ms |
468 KB |
Output is correct |
36 |
Correct |
1 ms |
468 KB |
Output is correct |
37 |
Correct |
1 ms |
432 KB |
Output is correct |
38 |
Correct |
1 ms |
468 KB |
Output is correct |
39 |
Correct |
1 ms |
468 KB |
Output is correct |
40 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
308 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
304 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
304 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
308 KB |
Output is correct |
14 |
Correct |
0 ms |
304 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
468 KB |
Output is correct |
19 |
Correct |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
436 KB |
Output is correct |
22 |
Correct |
1 ms |
436 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
436 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
1 ms |
468 KB |
Output is correct |
35 |
Correct |
1 ms |
468 KB |
Output is correct |
36 |
Correct |
1 ms |
468 KB |
Output is correct |
37 |
Correct |
1 ms |
432 KB |
Output is correct |
38 |
Correct |
1 ms |
468 KB |
Output is correct |
39 |
Correct |
1 ms |
468 KB |
Output is correct |
40 |
Correct |
1 ms |
468 KB |
Output is correct |
41 |
Correct |
1 ms |
1108 KB |
Output is correct |
42 |
Correct |
1 ms |
1108 KB |
Output is correct |
43 |
Correct |
1 ms |
1108 KB |
Output is correct |
44 |
Correct |
1 ms |
1108 KB |
Output is correct |
45 |
Correct |
2 ms |
1076 KB |
Output is correct |
46 |
Correct |
2 ms |
1108 KB |
Output is correct |
47 |
Correct |
2 ms |
1108 KB |
Output is correct |
48 |
Correct |
2 ms |
1108 KB |
Output is correct |
49 |
Correct |
2 ms |
1108 KB |
Output is correct |
50 |
Correct |
2 ms |
1072 KB |
Output is correct |
51 |
Correct |
3 ms |
1108 KB |
Output is correct |
52 |
Correct |
2 ms |
1108 KB |
Output is correct |
53 |
Correct |
2 ms |
1072 KB |
Output is correct |
54 |
Correct |
2 ms |
1076 KB |
Output is correct |
55 |
Correct |
2 ms |
1080 KB |
Output is correct |
56 |
Correct |
2 ms |
1108 KB |
Output is correct |
57 |
Correct |
2 ms |
1080 KB |
Output is correct |
58 |
Correct |
2 ms |
1108 KB |
Output is correct |
59 |
Correct |
2 ms |
1108 KB |
Output is correct |
60 |
Correct |
2 ms |
1108 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
164 ms |
4296 KB |
Output is correct |
2 |
Correct |
169 ms |
4292 KB |
Output is correct |
3 |
Correct |
170 ms |
4288 KB |
Output is correct |
4 |
Correct |
171 ms |
4312 KB |
Output is correct |
5 |
Correct |
174 ms |
4308 KB |
Output is correct |
6 |
Correct |
190 ms |
4308 KB |
Output is correct |
7 |
Correct |
187 ms |
4308 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
4 ms |
4308 KB |
Output is correct |
6 |
Correct |
4 ms |
4308 KB |
Output is correct |
7 |
Correct |
4 ms |
4308 KB |
Output is correct |
8 |
Correct |
4 ms |
4308 KB |
Output is correct |
9 |
Correct |
4 ms |
4308 KB |
Output is correct |
10 |
Correct |
3 ms |
4308 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
20 ms |
4312 KB |
Output is correct |
13 |
Correct |
22 ms |
4268 KB |
Output is correct |
14 |
Correct |
15 ms |
4308 KB |
Output is correct |
15 |
Correct |
74 ms |
4308 KB |
Output is correct |
16 |
Correct |
65 ms |
4308 KB |
Output is correct |
17 |
Correct |
28 ms |
4308 KB |
Output is correct |
18 |
Correct |
163 ms |
4308 KB |
Output is correct |
19 |
Correct |
103 ms |
4308 KB |
Output is correct |
20 |
Correct |
36 ms |
4312 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
0 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
308 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
304 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
304 KB |
Output is correct |
31 |
Correct |
0 ms |
340 KB |
Output is correct |
32 |
Correct |
0 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
308 KB |
Output is correct |
34 |
Correct |
0 ms |
304 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
468 KB |
Output is correct |
37 |
Correct |
1 ms |
468 KB |
Output is correct |
38 |
Correct |
1 ms |
468 KB |
Output is correct |
39 |
Correct |
1 ms |
468 KB |
Output is correct |
40 |
Correct |
1 ms |
468 KB |
Output is correct |
41 |
Correct |
1 ms |
436 KB |
Output is correct |
42 |
Correct |
1 ms |
436 KB |
Output is correct |
43 |
Correct |
1 ms |
468 KB |
Output is correct |
44 |
Correct |
1 ms |
436 KB |
Output is correct |
45 |
Correct |
1 ms |
468 KB |
Output is correct |
46 |
Correct |
1 ms |
468 KB |
Output is correct |
47 |
Correct |
1 ms |
468 KB |
Output is correct |
48 |
Correct |
1 ms |
468 KB |
Output is correct |
49 |
Correct |
1 ms |
468 KB |
Output is correct |
50 |
Correct |
1 ms |
468 KB |
Output is correct |
51 |
Correct |
1 ms |
468 KB |
Output is correct |
52 |
Correct |
1 ms |
468 KB |
Output is correct |
53 |
Correct |
1 ms |
468 KB |
Output is correct |
54 |
Correct |
1 ms |
468 KB |
Output is correct |
55 |
Correct |
1 ms |
468 KB |
Output is correct |
56 |
Correct |
1 ms |
468 KB |
Output is correct |
57 |
Correct |
1 ms |
432 KB |
Output is correct |
58 |
Correct |
1 ms |
468 KB |
Output is correct |
59 |
Correct |
1 ms |
468 KB |
Output is correct |
60 |
Correct |
1 ms |
468 KB |
Output is correct |
61 |
Correct |
1 ms |
1108 KB |
Output is correct |
62 |
Correct |
1 ms |
1108 KB |
Output is correct |
63 |
Correct |
1 ms |
1108 KB |
Output is correct |
64 |
Correct |
1 ms |
1108 KB |
Output is correct |
65 |
Correct |
2 ms |
1076 KB |
Output is correct |
66 |
Correct |
2 ms |
1108 KB |
Output is correct |
67 |
Correct |
2 ms |
1108 KB |
Output is correct |
68 |
Correct |
2 ms |
1108 KB |
Output is correct |
69 |
Correct |
2 ms |
1108 KB |
Output is correct |
70 |
Correct |
2 ms |
1072 KB |
Output is correct |
71 |
Correct |
3 ms |
1108 KB |
Output is correct |
72 |
Correct |
2 ms |
1108 KB |
Output is correct |
73 |
Correct |
2 ms |
1072 KB |
Output is correct |
74 |
Correct |
2 ms |
1076 KB |
Output is correct |
75 |
Correct |
2 ms |
1080 KB |
Output is correct |
76 |
Correct |
2 ms |
1108 KB |
Output is correct |
77 |
Correct |
2 ms |
1080 KB |
Output is correct |
78 |
Correct |
2 ms |
1108 KB |
Output is correct |
79 |
Correct |
2 ms |
1108 KB |
Output is correct |
80 |
Correct |
2 ms |
1108 KB |
Output is correct |
81 |
Correct |
164 ms |
4296 KB |
Output is correct |
82 |
Correct |
169 ms |
4292 KB |
Output is correct |
83 |
Correct |
170 ms |
4288 KB |
Output is correct |
84 |
Correct |
171 ms |
4312 KB |
Output is correct |
85 |
Correct |
174 ms |
4308 KB |
Output is correct |
86 |
Correct |
190 ms |
4308 KB |
Output is correct |
87 |
Correct |
187 ms |
4308 KB |
Output is correct |
88 |
Correct |
13 ms |
4308 KB |
Output is correct |
89 |
Correct |
12 ms |
4276 KB |
Output is correct |
90 |
Correct |
21 ms |
4308 KB |
Output is correct |
91 |
Correct |
20 ms |
4308 KB |
Output is correct |
92 |
Correct |
45 ms |
4308 KB |
Output is correct |
93 |
Correct |
44 ms |
4308 KB |
Output is correct |
94 |
Correct |
93 ms |
4308 KB |
Output is correct |
95 |
Correct |
110 ms |
4308 KB |
Output is correct |
96 |
Correct |
156 ms |
4308 KB |
Output is correct |
97 |
Correct |
153 ms |
4308 KB |
Output is correct |
98 |
Correct |
85 ms |
4308 KB |
Output is correct |
99 |
Correct |
83 ms |
4300 KB |
Output is correct |
100 |
Correct |
83 ms |
4308 KB |
Output is correct |
101 |
Correct |
92 ms |
4308 KB |
Output is correct |
102 |
Correct |
99 ms |
4308 KB |
Output is correct |
103 |
Correct |
81 ms |
4268 KB |
Output is correct |
104 |
Correct |
87 ms |
4304 KB |
Output is correct |
105 |
Correct |
81 ms |
4308 KB |
Output is correct |