#include<bits/stdc++.h>
#define MAXN 107
using namespace std;
int n,a[MAXN];
long double pref[MAXN];
vector<long double> w;
long double dp[MAXN][MAXN],curr,ans;
int li[MAXN][MAXN],tim;
long double av(int l,int r){
return (pref[r]-pref[l-1])/(r-l+1);
}
const int inf=1e9;
long double ff(int l,int r){
if(l==r)return a[l];
if(li[l][r]==tim)return dp[l][r];
li[l][r]=tim;
dp[l][r]=inf;
if(av(l,r-1)>=curr)dp[l][r]=min(dp[l][r],max(av(l,r),ff(l,r-1)));
if(av(l+1,r)>=curr)dp[l][r]=min(dp[l][r],max(av(l,r),ff(l+1,r)));
return dp[l][r];
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>n;
for(int i=1;i<=n;i++)cin>>a[i];
for(int i=1;i<=n;i++)pref[i]=pref[i-1]+a[i];
for(int i=1;i<=n;i++){
for(int f=i;f<=n;f++){
w.push_back(av(i,f));
}
}
sort(w.begin(),w.end());
ans=inf;
for(int i=0;i<w.size();i++){
tim++;
curr=w[i];
if(av(1,n)<w[i])break;
ans=min(ans,ff(1,n)-w[i]);
}
cout<<setprecision(10)<<fixed<<ans<<"\n";
return 0;
}
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