Submission #696573

# Submission time Handle Problem Language Result Execution time Memory
696573 2023-02-06T22:35:34 Z Deepesson Let's Win the Election (JOI22_ho_t3) C++17
100 / 100
1620 ms 4408 KB
#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;
pdd tab[MAX][MAX];
int K=0;
std::vector<pii> regs;
int N;
long long C;
double inf = 1LL<<50LL;
pdd dp(void){
    for(int i=0;i!=MAX;++i){
        tab[N][i]={inf,0};
    }
    tab[N][0]={0.0,0};
    for(int i=N-1;i!=-1;--i){
        for(int j=0;j<=K;++j){
            tab[i][j]={inf,0};
            const double pegou = K-j+1;
            if(j){
                double custo = (double)regs[i].first/pegou;
                pdd g = tab[i+1][j-1];
                g.first+=custo;
                tab[i][j]=std::min(tab[i][j],g);
            }
            if(regs[i].second<=C){
                double custo = (double)regs[i].second/(double)(K+1);
                pdd g = tab[i+1][j];
                g.first+=custo-((double)C/(double)(K+1));
                g.second--;
                tab[i][j]=std::min(tab[i][j],g);
            }else tab[i][j]=std::min(tab[i+1][j],tab[i][j]);
        }
    }
    return tab[0][K];
}
pdd simula(ll kok){
    C=kok;
    return dp();
}
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){
        while(K!=obj&&last!=1){
            auto vec = simula(last-1);
            if(abs(vec.second)>=obj-K&&last){
                --last;
            }else break;
        }
        auto kek = simula(last);
        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 1 ms 212 KB Output is correct
2 Correct 1 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 17 ms 2740 KB Output is correct
6 Correct 73 ms 3304 KB Output is correct
7 Correct 266 ms 4176 KB Output is correct
8 Correct 600 ms 4276 KB Output is correct
9 Correct 1049 ms 4284 KB Output is correct
10 Correct 341 ms 4172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 17 ms 2740 KB Output is correct
6 Correct 73 ms 3304 KB Output is correct
7 Correct 266 ms 4176 KB Output is correct
8 Correct 600 ms 4276 KB Output is correct
9 Correct 1049 ms 4284 KB Output is correct
10 Correct 341 ms 4172 KB Output is correct
11 Correct 1 ms 328 KB Output is correct
12 Correct 57 ms 3492 KB Output is correct
13 Correct 121 ms 3440 KB Output is correct
14 Correct 135 ms 3472 KB Output is correct
15 Correct 308 ms 4284 KB Output is correct
16 Correct 667 ms 4380 KB Output is correct
17 Correct 743 ms 4180 KB Output is correct
18 Correct 770 ms 4288 KB Output is correct
19 Correct 1620 ms 4284 KB Output is correct
20 Correct 1194 ms 4284 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 360 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 340 KB Output is correct
9 Correct 1 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 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 360 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 340 KB Output is correct
9 Correct 1 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 1 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 420 KB Output is correct
22 Correct 1 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 2 ms 340 KB Output is correct
26 Correct 3 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 2 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 2 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 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 360 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 340 KB Output is correct
9 Correct 1 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 1 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 420 KB Output is correct
22 Correct 1 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 2 ms 340 KB Output is correct
26 Correct 3 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 2 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 2 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 724 KB Output is correct
42 Correct 2 ms 724 KB Output is correct
43 Correct 4 ms 724 KB Output is correct
44 Correct 2 ms 724 KB Output is correct
45 Correct 7 ms 724 KB Output is correct
46 Correct 8 ms 724 KB Output is correct
47 Correct 11 ms 852 KB Output is correct
48 Correct 8 ms 852 KB Output is correct
49 Correct 13 ms 852 KB Output is correct
50 Correct 24 ms 832 KB Output is correct
51 Correct 41 ms 888 KB Output is correct
52 Correct 31 ms 888 KB Output is correct
53 Correct 5 ms 852 KB Output is correct
54 Correct 5 ms 852 KB Output is correct
55 Correct 5 ms 816 KB Output is correct
56 Correct 8 ms 852 KB Output is correct
57 Correct 5 ms 852 KB Output is correct
58 Correct 5 ms 852 KB Output is correct
59 Correct 6 ms 852 KB Output is correct
60 Correct 6 ms 852 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1544 ms 4280 KB Output is correct
2 Correct 1277 ms 4216 KB Output is correct
3 Correct 1225 ms 4228 KB Output is correct
4 Correct 1039 ms 4300 KB Output is correct
5 Correct 823 ms 4280 KB Output is correct
6 Correct 747 ms 4280 KB Output is correct
7 Correct 868 ms 4288 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 17 ms 2740 KB Output is correct
6 Correct 73 ms 3304 KB Output is correct
7 Correct 266 ms 4176 KB Output is correct
8 Correct 600 ms 4276 KB Output is correct
9 Correct 1049 ms 4284 KB Output is correct
10 Correct 341 ms 4172 KB Output is correct
11 Correct 1 ms 328 KB Output is correct
12 Correct 57 ms 3492 KB Output is correct
13 Correct 121 ms 3440 KB Output is correct
14 Correct 135 ms 3472 KB Output is correct
15 Correct 308 ms 4284 KB Output is correct
16 Correct 667 ms 4380 KB Output is correct
17 Correct 743 ms 4180 KB Output is correct
18 Correct 770 ms 4288 KB Output is correct
19 Correct 1620 ms 4284 KB Output is correct
20 Correct 1194 ms 4284 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 360 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 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 2 ms 340 KB Output is correct
41 Correct 1 ms 420 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 2 ms 340 KB Output is correct
44 Correct 2 ms 340 KB Output is correct
45 Correct 2 ms 340 KB Output is correct
46 Correct 3 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 2 ms 340 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 2 ms 340 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 3 ms 724 KB Output is correct
62 Correct 2 ms 724 KB Output is correct
63 Correct 4 ms 724 KB Output is correct
64 Correct 2 ms 724 KB Output is correct
65 Correct 7 ms 724 KB Output is correct
66 Correct 8 ms 724 KB Output is correct
67 Correct 11 ms 852 KB Output is correct
68 Correct 8 ms 852 KB Output is correct
69 Correct 13 ms 852 KB Output is correct
70 Correct 24 ms 832 KB Output is correct
71 Correct 41 ms 888 KB Output is correct
72 Correct 31 ms 888 KB Output is correct
73 Correct 5 ms 852 KB Output is correct
74 Correct 5 ms 852 KB Output is correct
75 Correct 5 ms 816 KB Output is correct
76 Correct 8 ms 852 KB Output is correct
77 Correct 5 ms 852 KB Output is correct
78 Correct 5 ms 852 KB Output is correct
79 Correct 6 ms 852 KB Output is correct
80 Correct 6 ms 852 KB Output is correct
81 Correct 1544 ms 4280 KB Output is correct
82 Correct 1277 ms 4216 KB Output is correct
83 Correct 1225 ms 4228 KB Output is correct
84 Correct 1039 ms 4300 KB Output is correct
85 Correct 823 ms 4280 KB Output is correct
86 Correct 747 ms 4280 KB Output is correct
87 Correct 868 ms 4288 KB Output is correct
88 Correct 15 ms 2756 KB Output is correct
89 Correct 10 ms 2644 KB Output is correct
90 Correct 70 ms 3204 KB Output is correct
91 Correct 45 ms 3352 KB Output is correct
92 Correct 305 ms 4188 KB Output is correct
93 Correct 182 ms 4408 KB Output is correct
94 Correct 612 ms 4280 KB Output is correct
95 Correct 441 ms 4324 KB Output is correct
96 Correct 1116 ms 4380 KB Output is correct
97 Correct 715 ms 4280 KB Output is correct
98 Correct 365 ms 4296 KB Output is correct
99 Correct 334 ms 4172 KB Output is correct
100 Correct 293 ms 4284 KB Output is correct
101 Correct 363 ms 4284 KB Output is correct
102 Correct 372 ms 4196 KB Output is correct
103 Correct 365 ms 4364 KB Output is correct
104 Correct 380 ms 4284 KB Output is correct
105 Correct 192 ms 4288 KB Output is correct