#include <bits/stdc++.h>
using namespace std;
inline int readChar();
template <class T = int>
inline T readInt();
template <class T>
inline void writeInt(T x, char end = 0);
inline void writeChar(int x);
inline void writeWord(const char *s);
const int MAX = 1e5 + 10;
pair<int, int> dp[MAX];
map<long long, set<int> > mapa;
int n;
long long vet[MAX], acu[MAX], vis[MAX], prox[MAX];
pair<int, int> solve(int com) {
  if (com == n) return {0, n};
  if (vis[com]) return dp[com];
  vis[com] = 1;
  if (prox[com] == -1) {
    return dp[com] = {0, com};
  }
  pair<int, int> aux = solve(prox[com] + 1);
  aux.first += prox[com] - com;
  return dp[com] = aux;
}
int main() {
  memset(prox, -1, sizeof prox);
  n = readInt();
  for (int(i) = 0; (i) < (n); (i)++) {
    vet[i] = readInt();
    acu[i] = vet[i];
  }
  for (int i = 1; i < n; i++) acu[i] += acu[i - 1];
  for (int(i) = 0; (i) < (n); (i)++) {
    if (mapa.count(acu[i]) == 0) {
      set<int> aux;
      aux.insert(i);
      mapa[acu[i]] = aux;
    } else {
      mapa[acu[i]].insert(i);
    }
  }
  for (int(i) = 0; (i) < (n); (i)++) {
    if (i == 0) {
      prox[i] = *mapa[0].begin();
      continue;
    } else {
      if (vet[i] == 0)
        prox[i] = i;
      else {
        long long x = acu[i - 1];
        auto it1 = mapa[x].find(i - 1);
        it1++;
        if (it1 != mapa[x].end()) prox[i] = (*(it1));
      }
    }
  }
  int ans = 1e9;
  for (int(com) = 0; (com) < (n); (com)++) {
    pair<int, int> aux = solve(com);
    int mais = 1;
    if (com == 0 && aux.second == n) mais = 0;
    ans = min(ans, aux.first + n - aux.second + com - mais);
  }
  writeInt(ans, '\n');
}
static const int buf_size = 4096;
inline int getChar() {
  static char buf[buf_size];
  static int len = 0, pos = 0;
  if (pos == len) pos = 0, len = fread(buf, 1, buf_size, stdin);
  if (pos == len) return -1;
  return buf[pos++];
}
inline int readChar() {
  int c = getChar();
  while (c <= 32) c = getChar();
  return c;
}
template <class T>
inline T readInt() {
  int s = 1, c = readChar();
  T x = 0;
  if (c == '-') s = -1, c = getChar();
  while ('0' <= c && c <= '9') x = x * 10 + c - '0', c = getChar();
  return s == 1 ? x : -x;
}
static int write_pos = 0;
static char write_buf[buf_size];
inline void writeChar(int x) {
  if (write_pos == buf_size)
    fwrite(write_buf, 1, buf_size, stdout), write_pos = 0;
  write_buf[write_pos++] = x;
}
template <class T>
inline void writeInt(T x, char end) {
  if (x < 0) writeChar('-'), x = -x;
  char s[24];
  int n = 0;
  while (x || !n) s[n++] = '0' + x % 10, x /= 10;
  while (n--) writeChar(s[n]);
  if (end) writeChar(end);
}
inline void writeWord(const char *s) {
  while (*s) writeChar(*s++);
}
struct Flusher {
  ~Flusher() {
    if (write_pos) fwrite(write_buf, 1, write_pos, stdout), write_pos = 0;
  }
} flusher;
