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;
#define int ll
#define ll long long
#define pii pair<int, int>
#define f first
#define s second
#define REP(i,n) for (int i = 0; i<n; ++i)
#define REP1(i,n) for(int i = 1; i<=n; ++i)
#define MX(a,b) a = max(a,b)
#define MN(a,b) a = min(a,b)
#define pb push_back
#define SZ(x) (int)((x).size())
#define ALL(x) (x).begin(),(x).end()
#ifdef BALBIT
#define bug(...) cerr<<"#"<<__LINE__<<" "<<#__VA_ARGS__<<"- ", _do(__VA_ARGS__)
template<typename T> void _do(T && x) {cerr<<x<<endl;}
template<typename T, typename ...S> void _do(T && x, S && ...y) {cerr<<x<<", "; _do(y...);}
#else
#define bug(...)
#define endl '\n'
#endif
const ll inf = 0x3f3f3f3f3f3f3f3f;
const int maxn = 2e5+5;
int a[maxn], ps[maxn];
vector<ll> yoi;
signed main(){
ios::sync_with_stdio(0), cin.tie(0);
bug(1,2);
int n; cin>>n;
REP1(i,n) {
cin>>a[i];
ps[i] = ps[i-1] + a[i];
}
vector<pair<double, double> > po;
double rbound = -1;
REP1(len,n) {
for(int i = 1; i+len-1 <= n; ++i) {
double me = (ps[i+len-1] - ps[i-1])/(double)len;
if(i == 1) MX(rbound, me);
double nxt = (i+len-1<n)?(ps[i+len] - ps[i])/(double)len : inf;
po.pb({me, nxt});
}
}
sort(ALL(po));
double re = inf;
for(auto yo : po) {
MN(re,rbound - yo.f);
MX(rbound, yo.s);
if(rbound >= inf -1) break;
}
cout<<fixed<<setprecision(12)<<re<<endl;
}
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