oj.uz

Submission #581192

# Submission time Handle Problem Language Result Execution time Memory
581192 2022-06-22T10:54:55 Z wdjpng Boarding Passes (BOI22_passes) C++17
100 / 100
 280 ms 23904 KB 
#include <bits/stdc++.h>

#define int long long
#define double long double
#define rep(i,n) for(int i =0; i<n; i++)
#define all(a) a.begin(),a.end()

using namespace std;


string s;
int n;
double f(int n)
{
    return ((double)  n)*((double) (n-1))/4.0;
}

string ord;
vector<double>mem;
vector<vector<int>>pos;
vector<vector<vector<int>>>insleft(15,vector<vector<int>>(15)), insright(15,vector<vector<int>>(15));

int g;
// cost to add the group gr with all members of that group with and index <= to maxi boarding on the left
double cost(int bor, int gr, int firstr)
{
    double sum = 0;

    sum+=f(pos[gr].size()-firstr) + f(firstr);
    rep(i,g) if(((1<<i)&bor)==0) sum+=insleft[gr][i][firstr]+insright[gr][i][firstr];
    return sum;
}

vector<int>lookup;
double dfs(int bor)
{
    if(mem[bor]>-0.9) return mem[bor];


    double sol = 1e18;
    rep(i,g)
    {
        if(!((1<<i)&bor)) continue;
        int nbor = bor^(1<<i);
        if(!pos[i].size()) return mem[bor]=dfs(nbor);
        int start = -1, end = pos[i].size();
        while(end-start>1)
        {
            int c = (start+end)/2;
            double l =cost(bor,i,c), r=cost(bor,i,c+1);
    
            if(r>=l) end=c;
            else start=c;
        };
        
        sol=min(sol, cost(bor,i,end)+dfs(nbor));
    }
    return mem[bor] = sol;
}


signed main()
{
    cin.tie(0);
    ios_base::sync_with_stdio(false);

    cin>>s;
    s.size();
    n=s.size();

    cout.precision(300);
    
    char maxx=0;
    rep(i,n) maxx=max(maxx, s[i]);
    g=maxx-'A'+1;

    pos.resize(g);
    rep(i,n) pos[(s[i]-'A')].push_back(i);
    
    rep(gr,g)
    {
        rep(i,g)
        {
            if(i==gr) continue;
            insleft[gr][i].assign(pos[gr].size()+1,0);
            insright[gr][i].assign(pos[gr].size()+1,0);
            for(int firstr=1; firstr <= pos[gr].size(); firstr++) 
            {
                insleft[gr][i][firstr]=insleft[gr][i][firstr-1];
                while (insleft[gr][i][firstr]<pos[i].size()&&pos[i][insleft[gr][i][firstr]]<pos[gr][firstr-1]) insleft[gr][i][firstr]++;
            }
            for(int firstr=pos[gr].size()-1; firstr >= 0; firstr--)
            {
                insright[gr][i][firstr]=insright[gr][i][firstr+1];
                while (insright[gr][i][firstr]<pos[i].size()&&pos[i][pos[i].size()-1-insright[gr][i][firstr]]>pos[gr][firstr]) insright[gr][i][firstr]++;
            }
            rep(j,pos[gr].size()) insleft[gr][i][j+1]+=insleft[gr][i][j];
            for(int j=pos[gr].size()-2; j>=0; j--) insright[gr][i][j]+=insright[gr][i][j+1];
        }
    }

    lookup.assign(g,0);
    rep(i,g) lookup[i]=i;
    mem.assign(1<<g,-1.0);
    mem[0]=0;
    cout<<dfs((1<<g)-1)<<'\n';
}

Compilation message

passes.cpp: In function 'int main()':
passes.cpp:87:38: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   87 |             for(int firstr=1; firstr <= pos[gr].size(); firstr++)
      |                               ~~~~~~~^~~~~~~~~~~~~~~~~
passes.cpp:90:46: warning: comparison of integer expressions of different signedness: '__gnu_cxx::__alloc_traits<std::allocator<long long int>, long long int>::value_type' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   90 |                 while (insleft[gr][i][firstr]<pos[i].size()&&pos[i][insleft[gr][i][firstr]]<pos[gr][firstr-1]) insleft[gr][i][firstr]++;
passes.cpp:95:47: warning: comparison of integer expressions of different signedness: '__gnu_cxx::__alloc_traits<std::allocator<long long int>, long long int>::value_type' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   95 |                 while (insright[gr][i][firstr]<pos[i].size()&&pos[i][pos[i].size()-1-insright[gr][i][firstr]]>pos[gr][firstr]) insright[gr][i][firstr]++;
passes.cpp:5:33: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    5 | #define rep(i,n) for(int i =0; i<n; i++)
......
   97 |             rep(j,pos[gr].size()) insleft[gr][i][j+1]+=insleft[gr][i][j];
      |                 ~~~~~~~~~~~~~~~~ 
passes.cpp:97:13: note: in expansion of macro 'rep'
   97 |             rep(j,pos[gr].size()) insleft[gr][i][j+1]+=insleft[gr][i][j];
      |             ^~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 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 0 ms 212 KB Output is correct
6 Correct 2 ms 1680 KB Output is correct
7 Correct 2 ms 1680 KB Output is correct
8 Correct 2 ms 1680 KB Output is correct
9 Correct 2 ms 1680 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 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 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 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 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 1 ms 260 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 2 ms 1492 KB Output is correct
36 Correct 2 ms 1492 KB Output is correct
37 Correct 6 ms 1876 KB Output is correct
38 Correct 5 ms 1748 KB Output is correct
39 Correct 3 ms 1748 KB Output is correct
40 Correct 7 ms 1748 KB Output is correct
41 Correct 5 ms 1876 KB Output is correct
42 Correct 6 ms 1748 KB Output is correct
43 Correct 5 ms 1748 KB Output is correct
44 Correct 5 ms 1748 KB Output is correct
45 Correct 4 ms 1748 KB Output is correct
46 Correct 4 ms 1760 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 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 0 ms 212 KB Output is correct
6 Correct 2 ms 1680 KB Output is correct
7 Correct 2 ms 1680 KB Output is correct
8 Correct 2 ms 1680 KB Output is correct
9 Correct 2 ms 1680 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 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 212 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 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 1 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 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 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 1 ms 260 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 2 ms 1492 KB Output is correct
45 Correct 2 ms 1492 KB Output is correct
46 Correct 6 ms 1876 KB Output is correct
47 Correct 5 ms 1748 KB Output is correct
48 Correct 3 ms 1748 KB Output is correct
49 Correct 7 ms 1748 KB Output is correct
50 Correct 5 ms 1876 KB Output is correct
51 Correct 6 ms 1748 KB Output is correct
52 Correct 5 ms 1748 KB Output is correct
53 Correct 5 ms 1748 KB Output is correct
54 Correct 4 ms 1748 KB Output is correct
55 Correct 4 ms 1760 KB Output is correct
56 Correct 1 ms 852 KB Output is correct
57 Correct 54 ms 852 KB Output is correct
58 Correct 0 ms 340 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 0 ms 212 KB Output is correct
62 Correct 0 ms 340 KB Output is correct
63 Correct 2 ms 1680 KB Output is correct
64 Correct 2 ms 1680 KB Output is correct
65 Correct 3 ms 1680 KB Output is correct
66 Correct 2 ms 1680 KB Output is correct
67 Correct 0 ms 212 KB Output is correct
68 Correct 1 ms 212 KB Output is correct
69 Correct 1 ms 340 KB Output is correct
70 Correct 1 ms 340 KB Output is correct
71 Correct 1 ms 212 KB Output is correct
72 Correct 1 ms 212 KB Output is correct
73 Correct 1 ms 212 KB Output is correct
74 Correct 1 ms 212 KB Output is correct
75 Correct 1 ms 212 KB Output is correct
76 Correct 1 ms 212 KB Output is correct
77 Correct 1 ms 212 KB Output is correct
78 Correct 1 ms 212 KB Output is correct
79 Correct 1 ms 212 KB Output is correct
80 Correct 1 ms 212 KB Output is correct
81 Correct 1 ms 212 KB Output is correct
82 Correct 0 ms 340 KB Output is correct
83 Correct 1 ms 212 KB Output is correct
84 Correct 2 ms 1492 KB Output is correct
85 Correct 2 ms 1480 KB Output is correct
86 Correct 7 ms 1876 KB Output is correct
87 Correct 5 ms 1752 KB Output is correct
88 Correct 3 ms 1752 KB Output is correct
89 Correct 5 ms 1864 KB Output is correct
90 Correct 5 ms 1748 KB Output is correct
91 Correct 5 ms 1748 KB Output is correct
92 Correct 5 ms 1748 KB Output is correct
93 Correct 5 ms 1748 KB Output is correct
94 Correct 5 ms 1848 KB Output is correct
95 Correct 7 ms 1748 KB Output is correct
96 Correct 269 ms 23888 KB Output is correct
97 Correct 25 ms 596 KB Output is correct
98 Correct 259 ms 23736 KB Output is correct
99 Correct 71 ms 23852 KB Output is correct
100 Correct 29 ms 852 KB Output is correct
101 Correct 218 ms 23904 KB Output is correct
102 Correct 280 ms 23828 KB Output is correct
103 Correct 238 ms 23872 KB Output is correct
104 Correct 234 ms 23796 KB Output is correct
105 Correct 243 ms 23832 KB Output is correct
106 Correct 248 ms 23776 KB Output is correct
107 Correct 247 ms 23808 KB Output is correct
108 Correct 129 ms 21840 KB Output is correct
109 Correct 242 ms 23756 KB Output is correct