/*input
HEHEHEHIHILOL
*/
#include<bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<long long,null_type,less_equal<long long>,rb_tree_tag,tree_order_statistics_node_update> indexed_set;
//#pragma GCC target("avx2")
//order_of_key #of elements less than x
// find_by_order kth element
using ll=long long;
using ld=long double;
using pii=pair<ll,int>;
#define f first
#define s second
#define pb push_back
#define REP(i,n) for(int i=0;i<n;i++)
#define REP1(i,n) for(ll i=1;i<=n;i++)
#define FILL(n,x) memset(n,x,sizeof(n))
#define ALL(_a) _a.begin(),_a.end()
#define sz(x) (int)x.size()
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()),c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
#define GET(v,x) lower_bound(ALL(v),x)-v.begin()
const ll maxn=1e5+5;
const ll maxlg=__lg(maxn)+2;
const ll INF64=4e18;
const int INF=0x3f3f3f3f;
const ll MOD=1e9+7;
const ld PI=acos(-1);
const ld eps=1e-6;
#define lowb(x) x&(-x)
#define MNTO(x,y) x=min(x,(__typeof__(x))y)
#define MXTO(x,y) x=max(x,(__typeof__(x))y)
template<typename T1,typename T2>
ostream& operator<<(ostream& out,pair<T1,T2> P){
out<<P.f<<' '<<P.s;
return out;
}
template<typename T>
ostream& operator<<(ostream& out,vector<T> V){
REP(i,sz(V)) out<<V[i]<<((i!=sz(V)-1)?"\n":"\n");
return out;
}
ll mult(ll a,ll b){
return a*b%MOD;
}
ll mypow(ll a,ll b){
a%=MOD;
if(a==0) return 0;
if(b<=0) return 1;
ll res=1LL;
while(b){
if(b&1) res=(res*a)%MOD;
a=(a*a)%MOD;
b>>=1;
}
return res;
}
const int cc=15;
ld dp[(1<<cc)];
ll pf[20][maxn],sf[20][maxn];
vector<int> v[20];
ld get(int m,int i,ld p){
ll tot=0;
REP(j,cc){
if(m&(1<<j)){
tot+=pf[j][v[i][p]]+sf[j][v[i][p+1]];
}
}
ld k=sz(v[i])-p-2;
return tot+p*(p-1)/4+k*(k-1)/4;
}
int main(){
ios::sync_with_stdio(false),cin.tie(0);
string s;
cin>>s;
int n=sz(s);
REP(i,cc) v[i].pb(0);
REP(i,n) v[s[i]-'A'].pb(i+1);
REP(i,cc) v[i].pb(n+1);
REP(i,cc){
REP1(j,n){
pf[i][j]=lower_bound(ALL(v[i]),j)-v[i].begin()-1;
sf[i][j]=sz(v[i])-pf[i][j]-2;
}
}
REP(k,cc){
REP(i,cc){
REP1(j,sz(v[i])-1){
pf[k][v[i][j]]+=pf[k][v[i][j-1]];
}
for(int j=sz(v[i])-2;j>=0;j--){
sf[k][v[i][j]]+=sf[k][v[i][j+1]];
}
}
}
REP1(i,(1<<cc)-1){
dp[i]=INF64;
REP(j,cc){
if(i&(1<<j)){
if(sz(v[j])==2){
MNTO(dp[i],dp[i^(1<<j)]);
continue;
}
int z=(i^(1<<j));
int l=0,r=sz(v[j])-2;
while(r-l>2){
int m1=(r-l)/3+l,m2=r-(r-l)/3;
if(get(z,j,m1)>get(z,j,m2)) l=m1+1;
else r=m2;
}
ld ans=INF64;
for(int k=l;k<=r;k++) MNTO(ans,get(z,j,k));
MNTO(dp[i],dp[i^(1<<j)]+ans);
}
}
}
cout<<fixed<<setprecision(20)<<dp[(1<<cc)-1];
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
38 ms |
1100 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
23 ms |
924 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
23 ms |
924 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
38 ms |
1100 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
