#include <bits/stdc++.h>
using namespace std;
typedef signed long long ll;

#undef _P
#define _P(...) (void)printf(__VA_ARGS__)
#define FOR(x,to) for(x=0;x<(to);x++)
#define FORR(x,arr) for(auto& x:arr)
#define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++)
#define ALL(a) (a.begin()),(a.end())
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
//-------------------------------------------------------

int N;
string S;
int nex[1010101][26];

void solve() {
	int i,j,k,l,r,x,y; string s;
	
	cin>>S;
	N=S.size();
	FOR(i,26) nex[N][i]=N;
	ll ret=0;
	for(i=N-1;i>=0;i--) {
		FOR(j,26) nex[i][j]=nex[i+1][j];
		nex[i][S[i]-'a']=i;
		
		FOR(j,26) {
			x=N-nex[i][j];
			ret+=x;
		}
	}
	
	ll tot=1LL*N*(N+1)/2;
	_P("%.12lf\n",1.0*ret/tot);
	
}


int main(int argc,char** argv){
	string s;int i;
	if(argc==1) ios::sync_with_stdio(false), cin.tie(0);
	FOR(i,argc-1) s+=argv[i+1],s+='\n'; FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin);
	cout.tie(0); solve(); return 0;
}