#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define fi first
#define se second
#define for1(i,j,k) for(int i=j;i<=k;i++)
#define for2(i,j,k) for(int i=j;i>=k;i--)
#define for3(i,j,k,l) for(int i=j;i<=k;i+=l)
#define bit(n,i) ((n>>i)&1)
#define all(x) x.begin(),x.end()
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx,avx2,bmi,bmi2,sse,sse2,sse3,ssse3,sse4,popcnt")
//#define int long long
typedef long long ll;
typedef pair<int,int> pii;
typedef double ld;
typedef pair<ld,ld> pdd;
typedef pair<ll,ll> pll;
const ll maxn=1e5+5;
const ll offset=1e9;
const ll block_sz=317;
const ll inf=1e18;
const ll mod=1e9+7;
int n,a[maxn],cost[(1<<15)+2][16],dp[(1<<15)+2],id[16],g=-1,pre[16][maxn],suf[16][maxn];
vector<int> L[16];
string s;
void sol()
{
cin >> s;
n=s.size();
s=' '+s;
for1(i,0,15) id[i]=-1;
for1(i,1,n)
{
if (id[s[i]-'A']==-1)
{
id[s[i]-'A']=++g;
}
L[id[s[i]-'A']].pb(i);
a[i]=id[s[i]-'A'];
//cerr<< a[i]<<'\n';
}
g++;
for1(i,1,n)
{
for1(j,0,g-1)
{
pre[j][i]=pre[j][i-1]+((a[i]==j)?1:0);
}
}
for2(i,n,1)
{
for1(j,0,g-1)
{
suf[j][i]=suf[j][i+1]+((a[i]==j)?1:0);
}
}
for1(i,0,g-1)
{
int k1=L[i].size()/2;
int k2=L[i].size()-k1;
cost[0][i]=(k1*(k1-1)+k2*(k2-1))/2;
}
for1(mask,1,(1<<g)-1)
{
for1(i,0,g-1)
{
int dem=0,tt=L[i].size();
if (!((mask>>i)&1))
{
for2(k,tt-1,0)
{
for1(j,0,g-1)
{
if ((mask>>j)&1)
{
dem+=suf[j][L[i][k]];
}
}
}
cost[mask][i]=dem*2+tt*(tt-1)/2;
// if (mask==2 && i==0)
// {
// cout <<cost[mask][i]<< " wtf\n";
// }
for1(k,0,tt-1)
{
for1(j,0,g-1)
{
if ((mask>>j)&1)
{
dem+=pre[j][L[i][k]];
dem-=suf[j][L[i][k]];
}
}
cost[mask][i]=min(cost[mask][i],dem*2+(k+1)*k/2 + (tt-k-1)*(tt-k-2)/2);
}
}
}
}
//bitset<4> xxx(2);
//cout << xxx<<'\n';
//cout << cost[2][0];
for1(mask,0,(1<<g)-1) dp[mask]=inf;
dp[0]=0;
for1(mask,0,(1<<g)-1)
{
for1(i,0,g-1)
{
if (!((mask>>i)&1))
{
dp[mask^(1<<i)]=min(dp[mask^(1<<i)],dp[mask]+cost[mask][i]);
}
}
// dbg(mask);
// cout<<' '<<dp[mask]<<'\n';
}
//cerr<< g<<'\n';
cout << dp[(1<<g)-1]/2;
if (dp[(1<<g)-1]&1) cout << ".5";
}
int32_t main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
// freopen("GROUPDIV.inp","r",stdin);
// freopen("GROUPDIV.out","w",stdout);
int t=1;//cin >> t;
while (t--)
{
sol();
}
}
/*
3 1
12345678
?11
*/
Compilation message
passes.cpp: In function 'void sol()':
passes.cpp:106:36: warning: overflow in conversion from 'll' {aka 'long long int'} to 'int' changes value from '1000000000000000000' to '-1486618624' [-Woverflow]
106 | for1(mask,0,(1<<g)-1) dp[mask]=inf;
| ^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
0 ms |
2392 KB |
1st numbers differ - expected: '100800.5000000000', found: '-743309312.0000000000', error = '7375.0637397632' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
0 ms |
2648 KB |
1st numbers differ - expected: '1.0000000000', found: '-743309312.0000000000', error = '743309313.0000000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
0 ms |
2648 KB |
1st numbers differ - expected: '1.0000000000', found: '-743309312.0000000000', error = '743309313.0000000000' |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
0 ms |
2392 KB |
1st numbers differ - expected: '100800.5000000000', found: '-743309312.0000000000', error = '7375.0637397632' |
2 |
Halted |
0 ms |
0 KB |
- |