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>
using namespace std;
const int nx=1e4+5, kx=10;
int n, cnt, cnt2;
double dp[1<<kx], dpl[nx], dpr[nx];
string s;
int main()
{
cin.tie(NULL)->sync_with_stdio(false);
cin>>s;
n=s.size();
for (int i=1; i<(1<<kx); i++)
{
dp[i]=DBL_MAX;
for (int j=0; j<kx; j++)
{
if (i&(1<<j))
{
cnt=cnt2=0;
for (int k=1; k<=n; k++)
{
if (s[k-1]-'A'==j) cnt2++, dpl[k]=dpl[k-1]+cnt+(cnt2-1)/2.0;
else if (i&(1<<(s[k-1]-'A'))) cnt++, dpl[k]=dpl[k-1];
else dpl[k]=dpl[k-1];
}
cnt=cnt2=0;
for (int k=n; k>=1; k--)
{
if (s[k-1]-'A'==j) cnt2++, dpr[k]=dpr[k+1]+cnt+(cnt2-1)/2.0;
else if (i&(1<<(s[k-1]-'A'))) cnt++, dpr[k]=dpr[k+1];
else dpr[k]=dpr[k+1];
}
//for (int k=1; k<=n; k++) cout<<i<<' '<<dpl[k]<<' '<<dpr[k]<<'\n';
for (int k=0; k<=n; k++) dp[i]=min(dp[i], dp[i-(1<<j)]+dpl[k]+dpr[k+1]);
}
}
//cout<<"here "<<b<<' '<<dp[i]<<'\n';
}
cout<<dp[(1<<kx)-1]<<'\n';
}
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