Problem 2 Circular Barn
USACO Bronze
Key Idea
Solution implementation
Solution
#include <bits/stdc++.h>
using namespace std;
//author: von_Braun
#define ll long long
#define lli long long int
#define pb push_back
#define rep(var, start, num) for(ulli var = start; var <start + num; var++)
#define all(x) x.begin(), x.end()
#define ulli unsigned long long int
#define ull unsigned long long
bool sortbysec(const pair<ll,ll> &a,const pair<ll,ll> &b) { return (a.second < b.second); }
void solve() {
int n;
cin>>n;
int a[n];
lli s=0;
rep(i,0,n) {cin>>a[i]; s+=a[i];}
lli tans=0;
rep(i,0,n) {tans+=i*a[i];}
lli ans=tans;
rep(i,1,n-1) {
tans-=(s-a[i-1]);
tans+=(n-1)*(a[i-1]);
// cout<<tans<<endl;
ans = min(ans,tans);
}
cout<<ans<<endl;
}
int main() {
//add quotes incase input output file
freopen("cbarn.in","r",stdin);
freopen("cbarn.out","w",stdout);
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int tc = 1;
// cin >> tc;
for (int t = 1; t <= tc; t++) {
solve();
}
}