이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include<bits/stdc++.h>
using namespace std;
#define int long long
const int INF = 1e18;
int n;
string s;
vector<int> pozs[20];
vector<int> prec[15][15];
int pref[100005];
void calc_prec()
{
for(int p=0;p<15;p++)
{
pref[0]=0;
for(int i=1;i<=n;i++)
{
pref[i]=pref[i-1];
if(s[i-1]-'A'==p)
pref[i]++;
}
for(int u=0;u<15;u++)
{
if(u==p)
continue;
prec[p][u].resize((int)pozs[u].size()+2);
int cur=0;
for(auto x:pozs[u])
cur += pref[n]-pref[x];
prec[p][u][0] = 2*cur;
for(int i=1;i<=(int)pozs[u].size();i++)
{
cur -= pref[n]-pref[pozs[u][i-1]];
cur += pref[pozs[u][i-1]];
prec[p][u][i] = 2*cur;
}
}
}
}
int dp[100005];
void calc_dp()
{
dp[1]=0;
for(int i=2;i<=n;i++)
dp[i] = dp[i-1] + (i-1);
}
int rez[33000];
int calc_sum(int config, int i, int cntle)
{
int aux=0;
for(int j=0;j<15;j++)
if(i!=j && ((1<<j)&config))
aux += prec[j][i][cntle];
aux += dp[cntle] + dp[(int)pozs[i].size()-cntle];
rez[config] = min(rez[config], rez[config-(1<<i)] + aux);
return aux;
}
signed main()
{
cin>>s;
n=s.size();
for(int i=1;i<=n;i++)
pozs[s[i-1]-'A'].push_back(i);
calc_prec();
calc_dp();
for(int config=1;config<(1<<15);config++)
{
rez[config]=INF;
for(int i=0;i<15;i++)
{
if((((1<<i)&config)))
{
int st,dr,mij1,mij2;
st=0;
dr=pozs[i].size();
while(dr-st+1>=5)
{
mij1 = st + (dr-st+1)/3;
mij2 = mij1 + (dr-st+1)/3;
int val1 = calc_sum(config,i,mij1);
int val2 = calc_sum(config,i,mij2);
if(val1<val2)
dr=mij2;
else
st=mij1;
}
for(int j=st;j<=dr;j++)
calc_sum(config,i,j);
}
}
}
if(rez[(1<<15)-1]%2==0) cout<<rez[(1<<15)-1]/2;
else cout<<rez[(1<<15)-1]/2<<".5";
return 0;
}
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