# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
580192 | wdjpng | Boarding Passes (BOI22_passes) | C++17 | 2052 ms | 1484 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#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;
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 maxi)
{
double sum = 0;
int firstr = maxi+1;
sum+=f(pos[gr].size()-firstr) + f(firstr);
vector<int>otherpos;
rep(i,n) if(((1<<(s[i]-'A'))&bor)==0) otherpos.push_back(i);
rep(i,firstr)
{
sum+=upper_bound(all(otherpos),pos[gr][i])-otherpos.begin();
}
for(int i = firstr; i < pos[gr].size(); i++) sum+=otherpos.end()-upper_bound(all(otherpos),pos[gr][i]);
return sum;
}
vector<int>lookup;
double dfs(int bor)
{
if(mem[bor]>-0.9) return mem[bor];
double sol = 1e18;
rep(ck,g)
{
int i=lookup[ck];
if(!((1<<i)&bor)) continue;
int nbor = bor^(1<<i);
int start = -1, end = pos[i].size()-1;
// 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;
// };
double minn = 1e18;
rep(j,pos[i].size()) if(cost(bor,i,j)<minn) {minn=cost(bor,i,j); end=j;}
sol=min(sol, cost(bor,i,end)+dfs(nbor));
}
return mem[bor] = sol;
}
signed main()
{
cin>>s;
s.size();
n=s.size();
double sum = f(n/2) + f((n+1)/2);
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);
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 (stderr)
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