#include <bits/stdc++.h>
using namespace std;
int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  int n;
  cin >> n;
  vector<long long> a(n);
  vector<int> nx(n);
  for (int i = 0; i < n; i++) {
    cin >> a[i];
  }
  map<long long, int> mp;
  long long sig = 0;
  for (int i = 0; i < 3 * n; i++) {
    int ri = (i % n);
    nx[mp[sig]] = ri;
    mp[sig] = ri;
    sig += a[ri];
  }
  int res = n;
  for (int i = 0; i < n; i++) {
    int len = 1, p = nx[i];
    if (p == -1) {
      continue;
    }
    nx[i] = -1;
    while (p != i) {
      len++;
      int np = nx[p];
      nx[p] = -1;
      p = np;
    }
    res = min(n - len, res);
  }
  cout << res << '\n';
  return 0;
}
