#include<bits/stdc++.h>
using namespace std;
#define int long long
#define endl "\n"
const int INF = 1e18;
mt19937 rng((unsigned int) chrono::steady_clock::now().time_since_epoch().count());
bool cmp(pair<int,int> a, pair<int,int> b){
if(a.second == b.second) return a.first<b.first;
return a.second < b.second;
}
void shuffle(vector<pair<int,int>>& v){
int n = v.size();
for(int i = 0; i<3*n; i++){
int a = rng()%n; int b = rng()%n;
swap(v[a],v[b]);
}
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout<<setprecision(3)<<fixed;
int n,k1; cin>>n>>k1;
vector<pair<int,int>> v(n);
for(int i = 0; i<n; i++){
cin>>v[i].first>>v[i].second;
if(v[i].second == -1) v[i].second = INF;
}
if(n > 20){
sort(v.begin(),v.end(),cmp);
long double ans = 0;
int cnt = 0;
for(int i = 0; i<k1; i++){
auto x = v[i];
ans+=(1.0*x.first/(cnt+1));
if(x.second == x.first) cnt++;
}
cout<<setprecision(10)<<fixed<<ans<<endl;
return 0;
}
sort(v.begin(),v.end(),cmp);
int q = 13000;
long double ans = INF;
while(q--){
shuffle(v);
long double dp[n+1][k1+1][k1+1];
for(int i = 0; i<=n; i++){
for(int j = 0; j<=k1; j++){
for(int k = 0; k<=k1; k++) dp[i][j][k] = 1.0*INF;
}
}
dp[0][0][0] = 0; // first i, j votes, k representants
for(int i = 1; i<=n; i++){
for(int j = 0; j<=k1; j++){
for(int k = 0; k<=k1; k++){
dp[i][j][k] = dp[i-1][j][k];
if(!j) continue;
long double act = dp[i-1][j-1][k]; // just speech for vote
act+= 1.0*v[i-1].first/(k+1);
dp[i][j][k] = min(dp[i][j][k],act);
if(!k || v[i-1].second == INF) continue;
act = dp[i-1][j-1][k-1];
act+= 1.0*v[i-1].second / k;
dp[i][j][k] = min(dp[i][j][k],act);
}
}
}
for(int k = 0; k<=k1; k++){
ans = min(ans, dp[n][k1][k]);
}
}
cout<<ans<<endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
344 KB |
Output is correct |
2 |
Correct |
7 ms |
452 KB |
Output is correct |
3 |
Correct |
8 ms |
348 KB |
Output is correct |
4 |
Correct |
16 ms |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
344 KB |
Output is correct |
2 |
Correct |
7 ms |
452 KB |
Output is correct |
3 |
Correct |
8 ms |
348 KB |
Output is correct |
4 |
Correct |
16 ms |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
2 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
14 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
344 KB |
Output is correct |
2 |
Correct |
19 ms |
348 KB |
Output is correct |
3 |
Correct |
27 ms |
348 KB |
Output is correct |
4 |
Correct |
41 ms |
344 KB |
Output is correct |
5 |
Correct |
56 ms |
348 KB |
Output is correct |
6 |
Correct |
76 ms |
436 KB |
Output is correct |
7 |
Correct |
95 ms |
344 KB |
Output is correct |
8 |
Correct |
64 ms |
428 KB |
Output is correct |
9 |
Correct |
56 ms |
348 KB |
Output is correct |
10 |
Correct |
58 ms |
548 KB |
Output is correct |
11 |
Correct |
55 ms |
348 KB |
Output is correct |
12 |
Correct |
56 ms |
344 KB |
Output is correct |
13 |
Correct |
56 ms |
428 KB |
Output is correct |
14 |
Correct |
45 ms |
348 KB |
Output is correct |
15 |
Correct |
95 ms |
440 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
344 KB |
Output is correct |
2 |
Correct |
19 ms |
348 KB |
Output is correct |
3 |
Correct |
27 ms |
348 KB |
Output is correct |
4 |
Correct |
41 ms |
344 KB |
Output is correct |
5 |
Correct |
56 ms |
348 KB |
Output is correct |
6 |
Correct |
76 ms |
436 KB |
Output is correct |
7 |
Correct |
95 ms |
344 KB |
Output is correct |
8 |
Correct |
64 ms |
428 KB |
Output is correct |
9 |
Correct |
56 ms |
348 KB |
Output is correct |
10 |
Correct |
58 ms |
548 KB |
Output is correct |
11 |
Correct |
55 ms |
348 KB |
Output is correct |
12 |
Correct |
56 ms |
344 KB |
Output is correct |
13 |
Correct |
56 ms |
428 KB |
Output is correct |
14 |
Correct |
45 ms |
348 KB |
Output is correct |
15 |
Correct |
95 ms |
440 KB |
Output is correct |
16 |
Correct |
77 ms |
348 KB |
Output is correct |
17 |
Correct |
411 ms |
460 KB |
Output is correct |
18 |
Correct |
396 ms |
464 KB |
Output is correct |
19 |
Correct |
796 ms |
596 KB |
Output is correct |
20 |
Incorrect |
753 ms |
488 KB |
Output isn't correct |
21 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
344 KB |
Output is correct |
2 |
Correct |
19 ms |
348 KB |
Output is correct |
3 |
Correct |
27 ms |
348 KB |
Output is correct |
4 |
Correct |
41 ms |
344 KB |
Output is correct |
5 |
Correct |
56 ms |
348 KB |
Output is correct |
6 |
Correct |
76 ms |
436 KB |
Output is correct |
7 |
Correct |
95 ms |
344 KB |
Output is correct |
8 |
Correct |
64 ms |
428 KB |
Output is correct |
9 |
Correct |
56 ms |
348 KB |
Output is correct |
10 |
Correct |
58 ms |
548 KB |
Output is correct |
11 |
Correct |
55 ms |
348 KB |
Output is correct |
12 |
Correct |
56 ms |
344 KB |
Output is correct |
13 |
Correct |
56 ms |
428 KB |
Output is correct |
14 |
Correct |
45 ms |
348 KB |
Output is correct |
15 |
Correct |
95 ms |
440 KB |
Output is correct |
16 |
Correct |
77 ms |
348 KB |
Output is correct |
17 |
Correct |
411 ms |
460 KB |
Output is correct |
18 |
Correct |
396 ms |
464 KB |
Output is correct |
19 |
Correct |
796 ms |
596 KB |
Output is correct |
20 |
Incorrect |
753 ms |
488 KB |
Output isn't correct |
21 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
344 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
344 KB |
Output is correct |
2 |
Correct |
7 ms |
452 KB |
Output is correct |
3 |
Correct |
8 ms |
348 KB |
Output is correct |
4 |
Correct |
16 ms |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
2 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
14 |
Halted |
0 ms |
0 KB |
- |