#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]=10000000;
}
}
dp[1][0]=(double)ar[1].first/(double)(m+1);
dp[1][1]=ar[1].second;
for(int i=1;i<=n;i++){
for(int j=0;j<=m;j++){
if(dp[i][j]>5000000){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--){
double v=0;
vector<int>tv;
for(int j=i+1;j<=n;j++){
tv.push_back(ar[j].first);
}
sort(tv.begin(),tv.end());
for(int j=0;j<K-i;j++){
v+=tv[j];
}v/=double(m+1);
ret=min(ret,dp[i][m]+v);
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=2000;
}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;
*/
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
308 KB |
Output is correct |
3 |
Correct |
1 ms |
308 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
5 ms |
4216 KB |
Output is correct |
6 |
Correct |
5 ms |
4308 KB |
Output is correct |
7 |
Correct |
5 ms |
4308 KB |
Output is correct |
8 |
Correct |
6 ms |
4308 KB |
Output is correct |
9 |
Correct |
6 ms |
4280 KB |
Output is correct |
10 |
Correct |
5 ms |
4276 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
308 KB |
Output is correct |
3 |
Correct |
1 ms |
308 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
5 ms |
4216 KB |
Output is correct |
6 |
Correct |
5 ms |
4308 KB |
Output is correct |
7 |
Correct |
5 ms |
4308 KB |
Output is correct |
8 |
Correct |
6 ms |
4308 KB |
Output is correct |
9 |
Correct |
6 ms |
4280 KB |
Output is correct |
10 |
Correct |
5 ms |
4276 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
103 ms |
4304 KB |
Output is correct |
13 |
Correct |
172 ms |
4304 KB |
Output is correct |
14 |
Correct |
116 ms |
4308 KB |
Output is correct |
15 |
Correct |
352 ms |
4312 KB |
Output is correct |
16 |
Correct |
455 ms |
4308 KB |
Output is correct |
17 |
Correct |
189 ms |
4428 KB |
Output is correct |
18 |
Correct |
545 ms |
4308 KB |
Output is correct |
19 |
Correct |
526 ms |
4304 KB |
Output is correct |
20 |
Correct |
192 ms |
4308 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
304 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
304 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
304 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1024 ms |
4428 KB |
Output is correct |
2 |
Correct |
1060 ms |
4428 KB |
Output is correct |
3 |
Correct |
1036 ms |
4308 KB |
Output is correct |
4 |
Correct |
1053 ms |
4308 KB |
Output is correct |
5 |
Correct |
1077 ms |
4352 KB |
Output is correct |
6 |
Correct |
1036 ms |
4308 KB |
Output is correct |
7 |
Correct |
941 ms |
4308 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
308 KB |
Output is correct |
3 |
Correct |
1 ms |
308 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
5 ms |
4216 KB |
Output is correct |
6 |
Correct |
5 ms |
4308 KB |
Output is correct |
7 |
Correct |
5 ms |
4308 KB |
Output is correct |
8 |
Correct |
6 ms |
4308 KB |
Output is correct |
9 |
Correct |
6 ms |
4280 KB |
Output is correct |
10 |
Correct |
5 ms |
4276 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
103 ms |
4304 KB |
Output is correct |
13 |
Correct |
172 ms |
4304 KB |
Output is correct |
14 |
Correct |
116 ms |
4308 KB |
Output is correct |
15 |
Correct |
352 ms |
4312 KB |
Output is correct |
16 |
Correct |
455 ms |
4308 KB |
Output is correct |
17 |
Correct |
189 ms |
4428 KB |
Output is correct |
18 |
Correct |
545 ms |
4308 KB |
Output is correct |
19 |
Correct |
526 ms |
4304 KB |
Output is correct |
20 |
Correct |
192 ms |
4308 KB |
Output is correct |
21 |
Incorrect |
1 ms |
304 KB |
Output isn't correct |
22 |
Halted |
0 ms |
0 KB |
- |