#include <bits/stdc++.h>
using namespace std;
static const double EPS = 1e-8;
static const double PI = 4.0 * atan(1.0);
static const double PI2 = 8.0 * atan(1.0);
int check(const vector<long long>& as) {
  if (as.size() <= 1) {
    return 0;
  }
  double c = as[0];
  if (c == 0) {
    return as.size() - count((as).begin(), (as).end(), 0);
  }
  double b = as[1] / c;
  int skipped = 0;
  double expected = c * b * b;
  for (int index = 2; index < as.size(); ++index) {
    if (abs(expected - as[index]) < EPS) {
      expected *= b;
    } else {
      ++skipped;
    }
  }
  return skipped;
}
int main() {
  int N;
  cin >> N;
  vector<long long> as;
  for (int n = 0; n < (int)N; ++n) {
    long long a;
    cin >> a;
    as.push_back(a);
  }
  int answer = 2;
  answer = min(answer, check(as));
  {
    vector<long long> bs = as;
    bs.erase(bs.begin(), bs.begin() + 1);
    answer = min(answer, check(bs) + 1);
  }
  if (N > 1) {
    vector<long long> cs = as;
    cs.erase(cs.begin() + 1, cs.begin() + 2);
    answer = min(answer, check(cs) + 1);
  }
  cout << answer << endl;
}
