#include<iostream>
#include<vector>
#include<iomanip>
#include<utility>
#include<algorithm>
#define ld long double
using namespace std;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;for(int i=2;i<=n;i++){for(int j=0;j<=min(k-m,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());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(solve(i),ans);cout<<fixed<<setprecision(12)<<ans;}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
16 ms |
784 KB |
Output is correct |
6 |
Correct |
77 ms |
1348 KB |
Output is correct |
7 |
Correct |
237 ms |
2372 KB |
Output is correct |
8 |
Correct |
581 ms |
3396 KB |
Output is correct |
9 |
Correct |
811 ms |
4332 KB |
Output is correct |
10 |
Correct |
463 ms |
3148 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
16 ms |
784 KB |
Output is correct |
6 |
Correct |
77 ms |
1348 KB |
Output is correct |
7 |
Correct |
237 ms |
2372 KB |
Output is correct |
8 |
Correct |
581 ms |
3396 KB |
Output is correct |
9 |
Correct |
811 ms |
4332 KB |
Output is correct |
10 |
Correct |
463 ms |
3148 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
86 ms |
1548 KB |
Output is correct |
13 |
Correct |
93 ms |
1588 KB |
Output is correct |
14 |
Correct |
105 ms |
1588 KB |
Output is correct |
15 |
Correct |
432 ms |
3128 KB |
Output is correct |
16 |
Correct |
476 ms |
3136 KB |
Output is correct |
17 |
Correct |
443 ms |
3188 KB |
Output is correct |
18 |
Correct |
841 ms |
4324 KB |
Output is correct |
19 |
Correct |
819 ms |
4340 KB |
Output is correct |
20 |
Correct |
878 ms |
4304 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
958 ms |
4292 KB |
Output is correct |
2 |
Correct |
851 ms |
4292 KB |
Output is correct |
3 |
Correct |
850 ms |
4320 KB |
Output is correct |
4 |
Correct |
898 ms |
4300 KB |
Output is correct |
5 |
Correct |
833 ms |
4380 KB |
Output is correct |
6 |
Correct |
877 ms |
4332 KB |
Output is correct |
7 |
Correct |
847 ms |
4384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
16 ms |
784 KB |
Output is correct |
6 |
Correct |
77 ms |
1348 KB |
Output is correct |
7 |
Correct |
237 ms |
2372 KB |
Output is correct |
8 |
Correct |
581 ms |
3396 KB |
Output is correct |
9 |
Correct |
811 ms |
4332 KB |
Output is correct |
10 |
Correct |
463 ms |
3148 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
86 ms |
1548 KB |
Output is correct |
13 |
Correct |
93 ms |
1588 KB |
Output is correct |
14 |
Correct |
105 ms |
1588 KB |
Output is correct |
15 |
Correct |
432 ms |
3128 KB |
Output is correct |
16 |
Correct |
476 ms |
3136 KB |
Output is correct |
17 |
Correct |
443 ms |
3188 KB |
Output is correct |
18 |
Correct |
841 ms |
4324 KB |
Output is correct |
19 |
Correct |
819 ms |
4340 KB |
Output is correct |
20 |
Correct |
878 ms |
4304 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
30 |
Halted |
0 ms |
0 KB |
- |