#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#define MAX 505
typedef std::pair<double,int> pdd;
typedef std::pair<long long ,long long> pii;
using ll = long long;
int existe[MAX][MAX];
pdd tab[MAX][MAX];
int rodada=52;
int K=0;
std::vector<pii> regs;
int N;
long long C;
double inf = 1LL<<50LL;
pdd dp(int pos,int falta){
if(pos==N&&!falta)return {0.0,0};
if(pos==N){
return {inf,0};
}
if(existe[pos][falta]==rodada)return tab[pos][falta];
existe[pos][falta]=rodada;
double pegou = (K-falta)+1;
pdd ans = {inf,0};
if(falta){
double custo = (double)regs[pos].first/(double)pegou;
pdd g = dp(pos+1,falta-1);
g.first+=custo;
ans=std::min(ans,g);
}
{
if(regs[pos].second<=C){
double custo = (double)regs[pos].second/(double)(K+1);
pdd g = dp(pos+1,falta);
g.first+=custo-((double)C/(double)(K+1));
--g.second;
ans=std::min(ans,g);
}else {pdd g =dp(pos+1,falta);ans=std::min(ans,g);}
}
return tab[pos][falta]=ans;
}
pdd simula(ll kok){
++rodada;
C=kok;
return dp(0,K);
}
int main()
{
std::ios::sync_with_stdio(false);
std::cin.tie(0);
std::cout.tie(0);
int obj;
std::cin>>N>>obj;
for(int i=0;i!=N;++i){
ll a,b;
std::cin>>a>>b;
if(b==-1)b=inf;
regs.push_back({b,a});
}
std::sort(regs.begin(),regs.end());
double ans=inf;
ll last=1000;
for(K=0;K<=obj;++K){
if(K!=obj&&last!=1)
for(;;){
auto vec = simula(last-1);
if(abs(vec.second)>=obj-K){
--last;
}else break;
}
++rodada;
C=last;
auto kek = dp(0,K);
kek.second*=-1;
kek.first+=(double)kek.second*((double)last/(double)(K+1));
///Pegar quantos a mais selecionei
ll dif = kek.second-(obj-K);
///Descontar os extras (note que eu consigo garantir que o custo eh L)
kek.first-=((double)(dif*last))/(double)(K+1);
ans=std::min(ans,kek.first);
}
std::cout<<std::fixed<<std::setprecision(20)<<ans<<"\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
52 ms |
3712 KB |
Output is correct |
6 |
Correct |
243 ms |
4288 KB |
Output is correct |
7 |
Correct |
900 ms |
5252 KB |
Output is correct |
8 |
Correct |
1881 ms |
5420 KB |
Output is correct |
9 |
Execution timed out |
2533 ms |
5352 KB |
Time limit exceeded |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
52 ms |
3712 KB |
Output is correct |
6 |
Correct |
243 ms |
4288 KB |
Output is correct |
7 |
Correct |
900 ms |
5252 KB |
Output is correct |
8 |
Correct |
1881 ms |
5420 KB |
Output is correct |
9 |
Execution timed out |
2533 ms |
5352 KB |
Time limit exceeded |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
352 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
352 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
2 ms |
340 KB |
Output is correct |
23 |
Correct |
2 ms |
340 KB |
Output is correct |
24 |
Correct |
2 ms |
340 KB |
Output is correct |
25 |
Correct |
4 ms |
340 KB |
Output is correct |
26 |
Correct |
2 ms |
340 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 |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
1 ms |
340 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
352 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
2 ms |
340 KB |
Output is correct |
23 |
Correct |
2 ms |
340 KB |
Output is correct |
24 |
Correct |
2 ms |
340 KB |
Output is correct |
25 |
Correct |
4 ms |
340 KB |
Output is correct |
26 |
Correct |
2 ms |
340 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 |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
1 ms |
340 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
3 ms |
852 KB |
Output is correct |
42 |
Correct |
2 ms |
852 KB |
Output is correct |
43 |
Correct |
10 ms |
952 KB |
Output is correct |
44 |
Correct |
5 ms |
980 KB |
Output is correct |
45 |
Correct |
14 ms |
980 KB |
Output is correct |
46 |
Correct |
22 ms |
1008 KB |
Output is correct |
47 |
Correct |
30 ms |
980 KB |
Output is correct |
48 |
Correct |
22 ms |
1028 KB |
Output is correct |
49 |
Correct |
33 ms |
1052 KB |
Output is correct |
50 |
Correct |
55 ms |
1036 KB |
Output is correct |
51 |
Correct |
97 ms |
1160 KB |
Output is correct |
52 |
Correct |
55 ms |
980 KB |
Output is correct |
53 |
Correct |
12 ms |
992 KB |
Output is correct |
54 |
Correct |
14 ms |
996 KB |
Output is correct |
55 |
Correct |
12 ms |
980 KB |
Output is correct |
56 |
Correct |
20 ms |
988 KB |
Output is correct |
57 |
Correct |
12 ms |
980 KB |
Output is correct |
58 |
Correct |
12 ms |
980 KB |
Output is correct |
59 |
Correct |
14 ms |
1040 KB |
Output is correct |
60 |
Correct |
16 ms |
980 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
2562 ms |
5296 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
52 ms |
3712 KB |
Output is correct |
6 |
Correct |
243 ms |
4288 KB |
Output is correct |
7 |
Correct |
900 ms |
5252 KB |
Output is correct |
8 |
Correct |
1881 ms |
5420 KB |
Output is correct |
9 |
Execution timed out |
2533 ms |
5352 KB |
Time limit exceeded |
10 |
Halted |
0 ms |
0 KB |
- |