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/*
* @Date: 2021-07-24 08:05:23
* @LastEditors: Steve Li
* @LastEditTime: 2021-07-24 11:01:44
* @FilePath: \李博睿\b.cpp
*/
#include<bits/stdc++.h>
using namespace std;
int n,ans = 0x3fffffff;
int a[10010],sum[10010];
inline int hg(int i,int j){
// int mx = max(i,j),mi = min(i,j);
return (i-j)*(i-j)+(sum[i]-sum[j])*(sum[i]-sum[j]);
}
inline int read() {
int x=0,f=1;char c=getchar();
for(;!isdigit(c);c=getchar()) if(c=='-') f=-1;
for(;isdigit(c);c=getchar()) x=x*10+c-'0';
return x*f;
}
namespace sol1{
inline void Solve(){
freopen("b.in","r",stdin);
freopen("b.out","w",stdout);
cin>>n;
for(int i=1;i<=n;i++){
a[i]=read();
sum[i]=sum[i-1]+a[i];
}
for(int i=1;i<=n;i++){
for(int j=1;j<i;j++){
ans = min(ans,hg(i,j));
}
}
printf("%d\n",ans);
}
}
int main(){
sol1::Solve();
}
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