#include<iostream>
#include<vector>
#include<iomanip>
#include<utility>
#include<algorithm>
using namespace std;
typedef float ld;
vector<pair<ld,ld>> vec;
int n,k;
ld solve(int m){
vector<vector<ld>> dp(n+1,vector<ld>(k-m+1,1e9+7));
dp[1][0]=(m>0?vec[1].first:0);
if(k-m>0) dp[1][1]=vec[1].second/ld(m+1);
for(int i=2;i<=n;i++){
for(int j=0;j<=min(k-m,i);j++){
if(i!=j) dp[i][j]=min(dp[i][j],dp[i-1][j]+(i-j>m?0:vec[i].first/float(i-j)));
if(j>0) dp[i][j]=min(dp[i][j],dp[i-1][j-1]+vec[i].second/float(m+1));
}
}
/*for(int i=1;i<=n;i++){
for(int j=0;j<=k-m;j++) if(m==2) cout<<dp[i][j]<<" ";
cout<<"\n";
}*/
return dp[n][k-m];
}
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
cin>>n>>k;
vec.resize(n+1);
for(int i=1;i<=n;i++) cin>>vec[i].second>>vec[i].first;
for(int i=1;i<=n;i++) if(vec[i].first==-1) vec[i].first=1e9;
sort(next(vec.begin()),vec.end());
//for(int i=1;i<=n;i++) cout<<vec[i].first<<' '<<vec[i].second<<"\n";
int l=0,r=k;
ld ans=1e9+7;
while(l<r){
int mid=(l+r)>>1;
ld a=solve(max(mid,0)),b=solve(min(mid+1,r));
ans=min(ans,min(a,b));
if(a>b) l=min(mid+1,r);
else r=(max(mid,0));
}
//for(int i=0;i<=k;i++) ans=min(ans,solve(i));
cout<<fixed<<setprecision(12)<<ans;
}
# |
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 |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
3 ms |
684 KB |
Output is correct |
7 |
Correct |
5 ms |
964 KB |
Output is correct |
8 |
Correct |
9 ms |
1244 KB |
Output is correct |
9 |
Correct |
11 ms |
1700 KB |
Output is correct |
10 |
Correct |
7 ms |
1128 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 |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
3 ms |
684 KB |
Output is correct |
7 |
Correct |
5 ms |
964 KB |
Output is correct |
8 |
Correct |
9 ms |
1244 KB |
Output is correct |
9 |
Correct |
11 ms |
1700 KB |
Output is correct |
10 |
Correct |
7 ms |
1128 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
13 |
Correct |
2 ms |
604 KB |
Output is correct |
14 |
Correct |
3 ms |
688 KB |
Output is correct |
15 |
Correct |
2 ms |
640 KB |
Output is correct |
16 |
Correct |
5 ms |
740 KB |
Output is correct |
17 |
Correct |
5 ms |
956 KB |
Output is correct |
18 |
Correct |
2 ms |
860 KB |
Output is correct |
19 |
Correct |
5 ms |
924 KB |
Output is correct |
20 |
Correct |
10 ms |
1324 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 |
1 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 |
0 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 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 |
1 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 |
0 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
600 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 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 |
344 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
1 ms |
348 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 |
1 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 |
1 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 |
0 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
600 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 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 |
344 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
1 ms |
348 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 |
1 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 |
1 ms |
348 KB |
Output is correct |
45 |
Correct |
0 ms |
348 KB |
Output is correct |
46 |
Correct |
1 ms |
348 KB |
Output is correct |
47 |
Correct |
1 ms |
344 KB |
Output is correct |
48 |
Correct |
1 ms |
348 KB |
Output is correct |
49 |
Correct |
1 ms |
344 KB |
Output is correct |
50 |
Correct |
1 ms |
348 KB |
Output is correct |
51 |
Correct |
1 ms |
348 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
348 KB |
Output is correct |
54 |
Correct |
1 ms |
348 KB |
Output is correct |
55 |
Correct |
0 ms |
348 KB |
Output is correct |
56 |
Correct |
1 ms |
348 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 |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
1008 KB |
Output is correct |
2 |
Correct |
7 ms |
920 KB |
Output is correct |
3 |
Correct |
5 ms |
860 KB |
Output is correct |
4 |
Correct |
4 ms |
856 KB |
Output is correct |
5 |
Correct |
3 ms |
860 KB |
Output is correct |
6 |
Correct |
8 ms |
1156 KB |
Output is correct |
7 |
Correct |
3 ms |
860 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 |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
3 ms |
684 KB |
Output is correct |
7 |
Correct |
5 ms |
964 KB |
Output is correct |
8 |
Correct |
9 ms |
1244 KB |
Output is correct |
9 |
Correct |
11 ms |
1700 KB |
Output is correct |
10 |
Correct |
7 ms |
1128 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
13 |
Correct |
2 ms |
604 KB |
Output is correct |
14 |
Correct |
3 ms |
688 KB |
Output is correct |
15 |
Correct |
2 ms |
640 KB |
Output is correct |
16 |
Correct |
5 ms |
740 KB |
Output is correct |
17 |
Correct |
5 ms |
956 KB |
Output is correct |
18 |
Correct |
2 ms |
860 KB |
Output is correct |
19 |
Correct |
5 ms |
924 KB |
Output is correct |
20 |
Correct |
10 ms |
1324 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
1 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 |
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 |
1 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 |
1 ms |
600 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
1 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 |
344 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
348 KB |
Output is correct |
54 |
Correct |
1 ms |
348 KB |
Output is correct |
55 |
Correct |
0 ms |
348 KB |
Output is correct |
56 |
Correct |
0 ms |
348 KB |
Output is correct |
57 |
Correct |
0 ms |
348 KB |
Output is correct |
58 |
Correct |
1 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 |
0 ms |
348 KB |
Output is correct |
62 |
Correct |
0 ms |
348 KB |
Output is correct |
63 |
Correct |
0 ms |
348 KB |
Output is correct |
64 |
Correct |
1 ms |
348 KB |
Output is correct |
65 |
Correct |
0 ms |
348 KB |
Output is correct |
66 |
Correct |
1 ms |
348 KB |
Output is correct |
67 |
Correct |
1 ms |
344 KB |
Output is correct |
68 |
Correct |
1 ms |
348 KB |
Output is correct |
69 |
Correct |
1 ms |
344 KB |
Output is correct |
70 |
Correct |
1 ms |
348 KB |
Output is correct |
71 |
Correct |
1 ms |
348 KB |
Output is correct |
72 |
Correct |
0 ms |
348 KB |
Output is correct |
73 |
Correct |
0 ms |
348 KB |
Output is correct |
74 |
Correct |
1 ms |
348 KB |
Output is correct |
75 |
Correct |
0 ms |
348 KB |
Output is correct |
76 |
Correct |
1 ms |
348 KB |
Output is correct |
77 |
Correct |
0 ms |
348 KB |
Output is correct |
78 |
Correct |
0 ms |
348 KB |
Output is correct |
79 |
Correct |
0 ms |
348 KB |
Output is correct |
80 |
Correct |
1 ms |
348 KB |
Output is correct |
81 |
Correct |
6 ms |
1008 KB |
Output is correct |
82 |
Correct |
7 ms |
920 KB |
Output is correct |
83 |
Correct |
5 ms |
860 KB |
Output is correct |
84 |
Correct |
4 ms |
856 KB |
Output is correct |
85 |
Correct |
3 ms |
860 KB |
Output is correct |
86 |
Correct |
8 ms |
1156 KB |
Output is correct |
87 |
Correct |
3 ms |
860 KB |
Output is correct |
88 |
Correct |
1 ms |
348 KB |
Output is correct |
89 |
Correct |
1 ms |
348 KB |
Output is correct |
90 |
Correct |
2 ms |
636 KB |
Output is correct |
91 |
Correct |
1 ms |
604 KB |
Output is correct |
92 |
Correct |
5 ms |
804 KB |
Output is correct |
93 |
Correct |
2 ms |
604 KB |
Output is correct |
94 |
Correct |
6 ms |
956 KB |
Output is correct |
95 |
Correct |
3 ms |
656 KB |
Output is correct |
96 |
Correct |
5 ms |
948 KB |
Output is correct |
97 |
Correct |
3 ms |
860 KB |
Output is correct |
98 |
Correct |
5 ms |
956 KB |
Output is correct |
99 |
Correct |
6 ms |
1060 KB |
Output is correct |
100 |
Correct |
5 ms |
932 KB |
Output is correct |
101 |
Correct |
4 ms |
736 KB |
Output is correct |
102 |
Correct |
3 ms |
640 KB |
Output is correct |
103 |
Correct |
2 ms |
640 KB |
Output is correct |
104 |
Correct |
4 ms |
740 KB |
Output is correct |
105 |
Correct |
7 ms |
1228 KB |
Output is correct |