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;
const int mxN = (int)1e3+10;
int n;
double a[mxN], pr[mxN], dp[mxN][mxN];
const double INF = 1e18;
double chk(double L){
for(int i = 0; i <= n; i++){
for(int j = 0; j <= n; j++){
dp[i][j] = INF;
}
}
for(int i = 0; i < n; i++)
if(a[i]>=L) dp[i][i] = a[i];
for(int l = 2; l <= n; l++){
for(int i = 0; i+l-1 < n; i++){
int j = i+l-1;
if(pr[j+1]-pr[i] < L*(j-i+1)) continue;
dp[i][j] = (pr[j+1]-pr[i])/(j-i+1);
dp[i][j] = max(dp[i][j], min(dp[i+1][j],dp[i][j-1]));
}
}
return dp[0][n-1];
}
int main()
{
cin >> n;
for(int i = 0; i < n; i++) cin >> a[i];
sort(a,a+n); double ans = a[n-1]-a[0];
for(int i = 0; i < n; i++) pr[i+1] = pr[i]+a[i];
for(int i = 0; i < n; i++){
for(int j = i; j < n; j++){
double L = (pr[j+1]-pr[i])/(j-i+1);
ans = min(ans, chk(L)-L);
}
}
cout << fixed << setprecision(9) << ans;
}
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